The solution of the equation is y = 5.
The equation you'll be solving is: y + 6 = -3y + 26.
On the left side of the equation, you have y + 6. On the right side of the equation, you have
=> -3y + 26.
To combine like terms, you need to rearrange the equation so that the y terms are on one side and the constant terms are on the other side.
To do this, you can add 3y to both sides of the equation. This will eliminate the -3y term on the right side of the equation and leave you with 4y + 6 = 26. Next, you can subtract 6 from both sides of the equation. This will eliminate the +6 term on the left side of the equation and leave you with 4y = 20.
Now you have an equation that only has one variable, y, on one side of the equation and a constant, 20, on the other side of the equation.
To solve for y, you need to isolate y by dividing both sides of the equation by 4.
This will give you y = 5.
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Complete Question:
Solve the equation. y + 6 = - 3y + 26.
I need help plsssssss no links and fake answers pls
Answer:
The image connected shows what the graph looks like.
Step-by-step explanation:
If there is a line underneath the inequality (≥, ≤), then the line WILL filled in.
If there isn't a line underneath the inequality (>, <), then the like WONT be filled in
-----------------------------------------
Make sure the variable is before the number.
(THINK: Say the inequality out-loud, x is greater than 6 so the fraction will go to the RIGHT and WONT be filled in.)
the following is a summary of a one-way between-subjects anova: f(2, 37) = 3.42, p < .05, η 2 = .12. how many pairwise comparisons need to be made for this anova result?
a.2
b.3
c.4
d.12
The pairwise comparisons that need to be made for this anova result will be b.3
How to calculate the valueIn order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:
N = (k * (k-1)) / 2
Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.
Plugging in the values:
N = (3 * (3-1)) / 2
N = (3 * 2) / 2
N = 6 / 2
N = 3
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The Tran family is bringing 15 packages of cheese to a group picnic. Cheese slices cost $ 2.50 per package. Cheese cubes cost $ 1.75 per package. The Tran family spent a total of $ 30 on cheese. How many packages of each type of cheese did the Tran family buy?
Answer:
cubes.
Step-by-step explanation:
17 cbes I think. not 100% tho
What is 4a+7c-2-5a+2c
Answer:
-a+9c-2
Step-by-step explanation:
4a+7c-2-5a+2c
Collect like terms
=4a-5a+7c+2c-2
= -a+9c-2
Divide 35b5 + 20ab3 + 20a2b2 by 5b2. What is the quotient? A. 7b3 - 4ab - 4a2 B. 7b3 + 4ab + 4a2 C. 7b7 + 4ab5 + 4a2b4 D. 35b3 + 20ab + 20a2
Answer:
B. 7b3 + 4ab + 4a2
Step-by-step explanation:
35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2
7b3 + 4ab + 4a2
Answer:
B = 7b³ + 4ab + 4a²
Step-by-step explanation:
35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²
= 35b^5 + 20ab³ + 20a²b² by 5b²
_________________________
5b²
= 7b³ + 4ab + 4a²
how many 1/2s are in 3/8
Answer:
3/4 is your answer, good sir. (or ma'am)
Step-by-step explanation:
3/8 divided by 1/2 = 3/8 times 2/1 = 6/8 and that simplifies to 3/4
So, 3/4 of a half is in 3/8
1. (5 pts) The (per hour) production function for bottles of coca-cola is q=1000K L
, where K is the number of machines and L is the number of machine supervisors. a. (2 pts) What is the RTS of the isoquant for production level q? [Use the following convention: K is expressed as a function of L b. (1 pt) Imagine the cost of operating capital is $40 per machine per hour, and labor wages are $20/ hour. What is the ratio of labor to capital cost? c. (2 pts) How much K and L should the company use to produce q units per hour at minimal cost (i.e. what is the expansion path of the firm)? What is the corresponding total cost function?
The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.
The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.
Given the production function q = 1000KL, we can differentiate it with respect to L:
d(q)/d(L) = 1000K
Therefore, the RTS of the isoquant for production level q is 1000K.
The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.
Labor cost = $20/hour
Capital cost = $40/machine/hour
Ratio of labor to capital cost = Labor cost / Capital cost
= $20/hour / $40/machine/hour
= 0.5
The ratio of labor to capital cost is 0.5.
To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.
Let C(K, L) be the total cost function.
The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:
C(K, L) = 40K + 20L
To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.
The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.
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what equation contains the given point ( -3,5)
Answer:
y = x + 8
Step-by-step explanation:
Answer:
To determine if a point is on a line you can simply subsitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line.
Step-by-step explanation:
Off the inter net... sorry
The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need? Use pencil and paper to explain your reasoning.
Please look at the attachment
The bottom part of this block is a rectangular prism. you would need 188 cm² of paper to cover the block entirely.
To calculate the amount of paper needed to cover the block entirely, we need to find the surface area of both the rectangular prism and the square pyramid and add them together.
Let's start with the rectangular prism:
The rectangular prism has a base of length 5 cm and width 4 cm, and a height of 6 cm. It has three pairs of identical faces: two pairs of rectangles with dimensions 5 cm by 4 cm (base and top), and one pair of rectangles with dimensions 5 cm by 6 cm (sides). So, the total surface area of the rectangular prism is:
2(5 cm * 4 cm) + 2(5 cm * 6 cm) + 2(4 cm * 6 cm) = 40 cm² + 60 cm² + 48 cm² = 148 cm²
Next, let's consider the square pyramid:
The square pyramid has a base of side length 5 cm and a height of 4 cm. It has four triangular faces with the base formed by the sides of the square pyramid and the height equal to the height of the pyramid.
The area of each triangular face can be calculated using the formula: ½ * base * height.
The base of each triangular face is 5 cm, and the height is 4 cm. Therefore, the area of each triangular face is:
½ * 5 cm * 4 cm = 10 cm²
Since there are four triangular faces, the total surface area of the square pyramid is:
4 * 10 cm² = 40 cm²
To find the total paper needed to cover the entire block, we add the surface areas of the rectangular prism and the square pyramid:
148 cm² + 40 cm² = 188 cm²
Therefore, you would need 188 cm² of paper to cover the block entirely.
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if 83 : 45 :: 72 : ? solve and find the answer
Answer: \(x=\dfrac{3240}{83}\)
Step-by-step explanation:
Given: 83 : 45 :: 72 : ?
Let unknown quantity (?) be x.
Now, x : y :: a : b
\(\Rightarrow\ \dfrac{x}{y}=\dfrac{a}{b}\)
83 : 45 :: 72 : x
\(\Rightarrow\ \dfrac{83}{45}=\dfrac{72}{x}\\\\\Rightarrow\ x=\dfrac{72}{83}\times45\\\\\Rightarrow\ x=\dfrac{3240}{83}\)
Hence, \(x=\dfrac{3240}{83}\)
random samples of size 525 are taken from an infinite population whose population proportion is .3. the standard deviation of the sample proportions (i.e., the standard error of the proportion) is .
The standard deviation of the sample proportions (i.e., the standard error of the proportion) is 10.5.
The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.
n = 525
Population Proportion(p) = 0.3
q = 1 - 0.3
q = 0.7
σ = √npq
σ = √(525 × 0.3 × 0.7)
σ = √110.25
σ = 10.5
So The standard deviation of the sample proportions = σ/n
The standard deviation of the sample proportions = 10.5/525
The standard deviation of the sample proportions = 0.02
The standard deviation of the sample proportions = 2%
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The complete question is:
Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is
a.0.0004
b.0.2100
c.0.3000
d.0.0200
Can any kind soul help me please
Answer:
\( \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ \)
Step-by-step explanation:
we would like to solve the following trigonometric equation:
\( \displaystyle 6 { \sin}^{2} ( \theta) + 7 \sin( \theta) + 2 = 0\)
to do so we can let sinθ be u so it'll be easier to solve:
\( \displaystyle 6 { u}^{2} + 7 u + 2 = 0\)
to notice is that it's a quadratic equation to solve the equation we can consider factoring method in this method we rewrite the middle term as sum or substraction of two different terms in that case 3u+4u can be mentioned:
\( \displaystyle 6 { u}^{2} +3u + 4u + 2 = 0\)
(continuing the method) well we can factor out the common terms and that yields:
\( \displaystyle 3u(2 { u}^{} +1) + 2(2u + 1)= 0\)
group:
\( \displaystyle (3u+ 2)(2u + 1)= 0\)
by Zero product property we acquire:
\( \begin{cases}\displaystyle 3u+ 2 = 0 \\ 2u + 1= 0 \end{cases}\)
solve the equation for u:
\( \begin{cases}\displaystyle u = - \frac{2}{3} \\ \\ u= - \dfrac{1}{2} \end{cases}\)
substitute back:
\( \begin{cases}\displaystyle \sin( \theta) = - \frac{2}{3} \\ \\ \sin( \theta) = - \dfrac{1}{2} \end{cases}\)
take inverse trig in both sides and that yields:
\( \begin{cases}\displaystyle \theta = - {41.8}^{ \circ}, {221.8}^{ \circ} \\ \\ \theta = {210}^{ \circ} , {330}^{ \circ} \end{cases}\)
add period of 2nπ:
\( \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ \)
and we're done!
You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?
Answer:
DCC
Step-by-step explanation:
CDDCDC
Different type of spaghetti dinners is 8
What is combination ?
"The number of possible arrangements in a collection of items where the order does not matter."
For 4 different shaped of noodles = ⁴c₁
⁴c₁ = 4
For two kinds of cheese = ²c₁
²c₁ = 2
Now , multiplying these 4×2 = 8
Hence, 8 type of spaghetti dinners
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the diameter of a penny is 19.05 mm and it is 1.52 mm thick. what is the mass od the penny?
The 99 confidence interval for a population proportion is [0.24, 0.86]. what is the sample mean proportion?
The sample mean proportion is 0.55.
The question is asking for the sample mean proportion. To find the sample mean proportion, we need to take the average of the lower and upper bounds of the confidence interval.
In this case, the lower bound of the confidence interval is 0.24 and the upper bound is 0.86. To find the sample mean proportion, we add these two values together and divide by 2:
(0.24 + 0.86) / 2 = 1.1 / 2 = 0.55
Therefore, the sample mean proportion is 0.55.
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Solve the inequality and graph the solution.
5u+5>
–
10
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
u>-3 is the solution of the inequality 5u+5>-10.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 5u+5>-10
Five times of u plus five greater than minus ten
We need to solve the inequality for u.
Subtract 5 on both sides
5u>-15
Divide both sides by 5
u>-3
Hence, u>-3 is the solution of the inequality 5u+5>-10.
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Gracie has $32 to spend at the fair.the cost for admission is $5 and each ride costs$2.50
The sum of three consecutive numbers is 519. What are the three numbers?
Answer:
El primer número llamaremos = x
El segundo número llamaremos = x + 1
El tercer número llamaremos = x + 2
Calculamos
x + (x + 1) + (x + 2) = 519
x + x + 1 + x + 2 = 519
x + x + x + 1 + 2 = 519
3x + 3 = 519
3x = 519 - 3
3x = 516
x = 516/3
x = 172
El valor de "x" lo reemplazamos en: (x + 1 y x + 2)
x + 1 = 172 + 1 = 173
x + 2 = 172 + 2 = 174
Respuesta.
Los números son: 172, 173 y 174
172 + 173 + 174 = 519
Vince is making chocolate mousse for the first time. His recipe calls for 165 grams of powdered cocoa, but he only pours 161 grams on his first try. He uses a small spoon to add the extra cocoa. If he needs 8 spoonfuls to add the extra cocoa, how many milligrams of cocoa does his spoon hold?
milligrams
Each spoonful holds 500 milligrams of cocoa.
How to calculate the amount of cocoaTo find the amount of cocoa in each spoonful, we can divide the total amount of extra cocoa added (4 grams) by the number of spoonfuls used (8):
4 grams / 8 spoonfuls = 0.5 grams per spoonful
To convert this to milligrams, we can multiply by 1000:
0.5 grams * 1000 = 500 milligrams
Therefore, each spoonful holds 500 milligrams of cocoa.
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x y
−1 −10
3 14
y= ?x + (?)
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
Here is an incomplete calculation of 534 divided by 6
The missing number for A is
The missing number for B is
The missing number for C is
Answer:
Step-by-step explanation:
a 23
b 43
c 56
You are given an isosceles trapezoid ABCD with median XY. Complete the following.
The value of ∠ABD is 120 degrees if given an isosceles trapezoid ABCD with median XY
What is trapezoid ?
A trapezoid is a quadrilateral (a four-sided polygon) with at least one pair of parallel sides. The parallel sides of a trapezoid are called bases, and the non-parallel sides are called legs.
Since ABCD is an isosceles trapezoid, the length of AB is equal to the length of CD. Let's assume that AB = CD = a, and BC = d.
The length of XY is equal to half the sum of the lengths of the non-parallel sides AB and CD. Therefore, XY = (1/2)(AB+CD) = (1/2)(a+a) = a.
So, the length of the median XY is a.
Since ABCD is an isosceles trapezoid, the base angles A and D are congruent. Let's assume that m∠ABD = x.
Since XY is the median of ABCD, it bisects the legs AB and CD at M and N, respectively. Therefore, AM = MB = (AB/2) and DN = NC = (CD/2).
Since AD and BC are parallel, we have ∠AMB = ∠DNC (corresponding angles). Also, ∠AMB + ∠BMD = 180° (linear pair), so ∠BMD = 180° - ∠AMB.
Similarly, we have ∠CND + ∠DNC = 180° (linear pair), so ∠CND = 180° - ∠DNC.
Since AD and BC are parallel, we have ∠ABD + ∠BMD = 180° (co-interior angles), so ∠ABD = 180° - ∠BMD.
Similarly, we have ∠DCB + ∠CND = 180° (co-interior angles), so ∠DCB = 180° - ∠CND.
Since ABCD is an isosceles trapezoid, we have AB = CD, so AM + MC = DN + NB. Substituting the values, we get (a/2) + d = (a/2) + d. Therefore, d = d.
Now, we can use the fact that ∠BMD = ∠CND to get an equation in terms of x: x + ∠ABD = 180° - x + ∠DCB. Substituting d = d, we get x + ∠ABD = 180° - x + ∠ABD. Therefore, x = (1/2)*(180° - ∠ABD).
Since ABCD is an isosceles trapezoid, we have ∠ABC = ∠DCB. Also, we know that ∠ABD and ∠CBD are supplementary angles. Therefore, ∠ABD + ∠CBD = 180°. Substituting the value of x, we get (1/2)*(180° - ∠ABD) + ∠ABD = 180°. Simplifying, we get ∠ABD = 120°.
Therefore, The value of ∠ABD is 120 degrees if given an isosceles trapezoid ABCD with median XY
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Need help please……..
On solving the provided question, we can say that the probability it is back or female is 55/6 and P( 1 or 6) = 12/7
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
1 gray female, 2 gray males, 2 black male and 2 black males
picked one random kitten
the probability it is back or female is \(^7C_4 + ^6C_3\) = 7!/4!*3! + 6!/3!*3!
= 7*6*5/6+6*5*4/6 = 55/6
A jar contain 7 balls numbered from 1 to seven. You randomly pick a ball. It is numbered 1or 6.
P( 1 or 6) = 12/7
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4. If you color the perfect squares on a multiplication table, you will be coloring a_______ line.
A. Diagonal
B. Vertical
C. Horizontal
D. Zig-zag
Please helpppp
Answer:
A. Diagonal line
Answer:
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hmmmmmm i dont know
Step-by-step explanation:
HELP ME SOMEONE
Diego has budgeted $35 from his summer job earnings to buy shorts and socks for soccer. He needs 5 pairs of socks and a pair of shorts. The socks cost different amounts in different stores. The shorts he wants cost $19.95.
Let x represent the price of one pair of socks. Write an expression for the total cost of the socks and shorts.
please please please
i have literally been working on this all day :(
Answer:
a=4, b = 12
Step-by-step explanation:
This is a relatively simple question once you break it down. Make two equations based on the rectangles given:
64 = 4b + 4a
56 = 8a + 2b
64 = 4b + 4a => 64 = 4 (b+a) => 16 = b + a
isolate for a variable (any will do I just chose b)
16 - a = b
56 = 8a + 2b => 56 = 2(4a + b) => 28 = 4a + b
isolate for b then plug in equation
28 - 4a = b
16 - a = 28 - 4a
28 - 16 = -a + 4a
12 = 3a
4 = a
16 - a = b
b = 16 - 4
b = 12
Assuming my math is right, this should be your answer
Find an equation of the line perpendicular to 4x-3y=12 that passes through (-8,1). The answer can be given in either standard form or slope -intercept form.
To find an equation of the line perpendicular to the line 4x - 3y = 12 and passing through the point (-8, 1), we can start by determining the slope of the given line.
The equation 4x - 3y = 12 can be rewritten in slope-intercept form as y = (4/3)x - 4. The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line.
Therefore, the perpendicular line will have a slope of -3/4. Using the point-slope form of a linear equation, we can plug in the slope and the coordinates of the given point to find the equation. Thus, the equation of the line perpendicular to 4x - 3y = 12 and passing through (-8, 1) is y - 1 = (-3/4)(x + 8).
To find an equation of a line perpendicular to a given line, we need to consider the slope of the given line. The slope of the perpendicular line will be the negative reciprocal of the slope of the given line.
Given the equation 4x - 3y = 12, we can rearrange it to slope-intercept form, which is y = (4/3)x - 4. The slope of this line is 4/3.
To find the slope of the perpendicular line, we take the negative reciprocal of 4/3, which gives us -3/4.
Next, we use the point-slope form of a linear equation, which states that y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Plugging in the values of the point (-8, 1) and the slope -3/4 into the point-slope form, we get y - 1 = (-3/4)(x + 8).
This equation can be further simplified to obtain the final answer, either in the point-slope form or by rearranging it to slope-intercept form, depending on the desired representation of the equation.
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g a pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. this plan randomly selects and tests 29 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. what is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects? (report answer as a decimal value accurate to four decimal places.)
The probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660
This problem can be solved by permutations and combinations. This can also be solved using binomial probability experiment.
Let, then we could reasonably assume that follows a binomial distribution.
Given P = 0.01 and n = 29
P(x) = nCx.px.(1-p)^(n-x)
nCx = n! [x!-(n-x)!]
P = P(X<=1).
X<=1, if X = 0 and X = 1,
P(0) + P(1)
P(0) = 1.(0.01)^(0).(0.99)^(29) = 0.74717
P(1) = 29C1.(0.01)^(1).(1-0.01)^(29-1)
P(1) = 0.21887
P = P(0) + P(1)
P = 0.74717+0.21887 = 0.9660
So, therefore the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660
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A basketball team played six games. In those games, the team won by 8 points, lost by 11, won by 7, won by 11, lost by 4, and won by 13. What was the mean difference in game scores over the six games?
Mean =sum of observations/ no.of observations
Mean=8+11+7+11+4+13/6
=54/6
mean=9
The mean difference in the game scores over six games is 2.5
What is mean difference?The mean difference measures the absolute difference between the mean value in two different groups.
Given is a basketball team which played six games such that in those games, the team won by 8 points, lost by 11, won by 7, won by 11, lost by 4, and won by 13 respectively.
The mean difference of the given data can be calculated using the following formula -
Mean Difference = (∑W / n) - (∑L / n)
Where -
(∑W / n) is the mean of games won.
and
(∑L / n) is the mean of games lost.
(∑W / n) = (8 + 7 + 11 + 13)/4 = 9.75
and
(∑L / n) = (11 + 4)/2 = 15/2 = 7.5
Mean difference = (∑W / n) - (∑L / n) = 9.75 - 7.5 = 2.5
Therefore, the mean difference in the game scores over six games is 2.5
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Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answer:
(12÷s)·60
Step-by-step explanation:
The hours it takes is 12/s so you multiply 60 to get the minutes. Next time, I would reccomend asking for help from the teacher or doing homework help, instead of putting all the RSM questions online. Thank you and have a good day :)
Answer:
12/s
Step-by-step explanation: