Answer: 5
Step-by-step explanation:
the step by step is that if you multiply and subtract and divided and add you get 5
A cookie recipe requires 3 teaspoons of baking soda for 36 cookies. If the baker would like to make 480 cookies, how much baking soda will be required?
a
13.33 teaspoons
b
12 teaspoons
c
40 teaspoons
d
108 teaspoons
Answer:
C: 40 teaspoons.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This is a straight proportion question. Many things can be solved with a proportion. This is a good example of what is possible.
Formula
3 teaspoons x
====== =========
36 cookies 480 cookies
Notice that in the end, the units of teaspoons will be left. Multiply both sides by 480
3 teaspoons * 480 cookies
======================= = X
36 cookies
Notice the cookies cancel
3 teaspoons * 480
=============== = x
36
x = 1440/36 teaspoons.
x = 40 teaspoons
answer: C
Which equation is NOT a linear function?
Answer:
y=x^2-2
Step-by-step explanation:
It should be this one because if you have x squared it will be a parabola. A line should have a consistent slope. so Somethingx + y intercept =y
pls help!
and a reason.
Answer:
\(\angle BDA = 72^{\circ}\)
\(\angle DAB = 36^{\circ}\)
\(\angle BDC = 108^{\circ}\)
\(\angle BCD = 36^{\circ}\)
\(\angle DBC = 36^{\circ}\)
Step-by-step explanation:
Given
\(\angle ABD = 72^{\circ}\)
Required
Determine the missing angles
Since AB = AD, then:
\(\angle ABD = \angle BDA\) --- Base angles of an isosceles triangle
Hence:
\(\angle ABD = \angle BDA = 72^{\circ}\)
\(\angle ABD + \angle BDA + \angle DAB = 180^{\circ}\) --- angles in a triangle
\(72^{\circ} + 72^{\circ} + \angle DAB = 180^{\circ}\)
\(144^{\circ} + \angle DAB = 180^{\circ}\)
Collect Like Terms
\(\angle DAB = 180^{\circ} - 144^{\circ}\)
\(\angle DAB = 36^{\circ}\)
\(\angle BDA + \angle BDC = 180^{\circ}\) --- angle on a straight line
\(72^{\circ} + \angle BDC = 180^{\circ}\)
\(\angle BDC = 180^{\circ} - 72^{\circ}\)
\(\angle BDC = 108^{\circ}\)
Since ABC is isosceles, then:
\(\angle DAB = \angle BCD = 36^{\circ}\) --- base angle of isosceles
\(\angle BCD = 36^{\circ}\)
Lastly:
\(\angle BCD + \angle BDC + \angle DBC = 180^{\circ}\)
\(36^{\circ} + 108^{\circ} + \angle DBC = 180^{\circ}\)
\(\angle DBC = 180^{\circ} - 36^{\circ} - 108^{\circ}\)
\(\angle DBC = 36^{\circ}\)
See attachment
Find the midpoint of the hypotenuse.
In order for the pH level of an acidic substance to be less than 2.25, the molar concentration of hydrogen ions, x, in the substance must satisfy the inequality –log x < 2.25. Review the table of values representing the left side of the inequality.
A 2-column table with 7 rows. Column 1 is labeled x with entries 0.01, 0.005623, 0.003162, 0.001778, 0.001, 0.0005623, 0.0003162. Column 2 is labeled negative log x with entries 2, 2.25, 2.5, 2.75, 3, 3.25, 3.5.
What is the solution set for the molar concentration of hydrogen ions to have a pH less than 2.25?
(0, 0.005623)
(0.005623, ∞)
(0, 0.0005623)
(0.0005623, ∞)
Answer:
It is B, (0.005623, ∞)
Step-by-step explanation:
I just did it on edge.
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.
Step-by-step explanation:
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.
644 = 12a + 200
444 = 12a
a = 37
At the beginning of spring, Madeline planted a small sunflower in her backyard. When it was first planted, the sunflower was 10 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 9 weeks? How tall would the sunflower be after
w
w weeks?
Answer:
19 inch
Step-by-step explanation:
first it was ten inc,one week one inch therefore 1×9=9therefore 9+10= 19
Find the distance between the following pair of points.
A(-3,1), B(7,13)
Answer:
15.6 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula below, where \((x_1, y_1)\) is the first coordinate and \((x_2, y_2)\) is the second coordinate.
\(\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)
Using the distance formula above,
distance between A(-3, 1) and B(7, 13)
= \(\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}\)
= \(\sqrt{12^2+(7+3)^2}\)
= \(\sqrt{244}\)
= 15.6 units (3 s.f.)
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For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip. If s represents Lina’s speed during the first part of her trip, which expressions represent the total time of her trip in hours?.
The expressions represent the total time of her trip in hours is\(\rm \dfrac{80}{s} + \dfrac{50}{s+10}\).
Given that,
For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.
It represents Lina's speed during the first part of her trip.
We have to determine,
Which expressions represent the total time of her trip in hours?
According to the question,
Let the speed traveled during the first part of the trip be "s".
The formula for calculating the distance is expressed as:
\(\rm Distance = Speed \times Time\)
For the first part of the journey:
Distance = 80 miles
Time = \(\rm t_1\)
And Speed = s
Substitute all the values in the formula,
\(\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}\)
For the second part of the trip;
Distance traveled = 50 miles
Speed = s + 10 (10miles/hour faster than the first part of the trip)
time = \(\rm t_2\)
Substitute all the values in the formula,
\(\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}\)
Therefore,
Adding both the time to represent the total time of her trip in hours,
\(\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}\)
Hence, The required expressions represent the total time of her trip in hours is\(\rm \dfrac{80}{s} + \dfrac{50}{s+10}\).
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Answer:
see photo #9
Step-by-step explanation:
enter the expression −2c⃗ 6d⃗ in the answer box using the notation just described. express your answer in terms of c⃗ and d⃗ . use the vector button under the templates menu in the answer box to create vectors.
The expression \(-2\vec C+6\vec D\) in the ordered pair notation is (16,-16).
The vector components of a vector are represented as the ordered pair of its x and y components.
For example, if a vector has x - component 'a' and y- component 'b' , then the ordered pair notation for the vector is (a, b), where the vector is \(a \vec i+b \vec j\).
Now the vector C has its x- component = -2
y- component of C = -1
Therefore, ordered pair notation of C = (-2, -1)
x- component of D = 2
y-component of D = -3
Therefore, ordered pair notation of D = (2,-3)
So the expression \(-2\vec C+6\vec D\) = -2 (-2,-1) +6 (2,-3) = (4,2) + (12, -18)
= (16, -16) in the ordered pair notation.
That is, the vector \(\bold {-2\vec C+6\vec D}\) is a vector with x-component 16 and y-component -16.
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a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
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4(x + 4) + 6
Simplify algebraic expressions
Answer:
4x+22
Step-by-step explanation:
distribute 4(x+4)
it would become 4x+16+6
16+6 = 22
4x+22
maeve is buying lunch for her friends at a resturant. the bill is $40 and wants to leave a 15% tip
Answer:
Step-by-step explanation:
Amount to tip:
\(40\times \frac{15}{100}=\$6\)
It cost Hassan $5.31 to send 59 text messages. How much does each text cost to send?
Each text will cost Hassan $0.09
What is rate ?A rate is a special ratio in which the two terms are in different units. It can also be defined as the amount of money that is charged for goods or services. For example, if a 12 malt can of costs 69¢, the rate is 69¢ for 12 malt. Then 1 malt will cost ¢69/12.
Similarly $5.31 is the cost of 59 text messages
Therefore a text message will cost $5.31/12=$0.09
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Identify the exponent and the base in the expression 6^12
Given parameters:
Expression;
6¹²
Identify the exponent and the base in the expression;
6¹²
An exponent is a power to which a number or variable is raised.
Generally, it signifies the number of times a number should be repeatedly multiplied.
The base is the number that is being multiplied.
So, in this problem, exponent is 12 and base is 6.
Dirk bought a set of stamps. The number of stamps in the set he bought is divisible by 2, 3, 5, 6, and 9. Which set is it?
Answer:
Germany - 90
Step-by-step explanation:
Here are the options to this question
Germany 90
Sweden 78
Japan 63
Canada 75
The appropriate answer should be a multiple of 2, 3, 5, 6, and 9. That is when the number is divided by 2, 3, 5, 6, and 9 it should have a remainder of zero.
90 / 2 = 45
90 / 3 = 30
90 / 5 = 18
90 / 6 = 15
90 / 9 = 10
Thus, the appropriate number is 90
When 78 is divided by 5 and 9, the remainder is not zero
When 63 is divided by 2, 5 and 6, the remainder is not zero
When 75 is divided by 2, 3, 6 and 9, the remainder is not zero
help me please. what is the solution for
4≤n−4
Answer:
n\(\geq\)8
Step-by-step explanation:
You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.
\(4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8\)
Evaluate the expression n*p+p for n = 3 and p = 6.
Answer:
24
Step-by-step explanation:
n x p + p
3 x 6 + 6
3 x 6 = 18
18 + 6 = 24
Many people identify that some periods of life are more stressful than others. One life event that is considered to be potentially notably stressful is becoming a parent for the first time. Let's assume the average adult living in the US scores a 3.0 on the Life Events Inventory that measures disruptive life events (both positive and negative). If you take a sample of 49 new parents and observe them to have an average score of 5.0 with a standard deviation of 1.5. Using an alpha level of .05, test whether your sample suggests that becoming a new parent is associated with increased stressful experiences. What is the critical statistic for this test?
To test whether becoming a new parent is associated with increased stressful experiences, we can conduct a one-sample t-test.
Given:
- Sample size (n) = 49
- Sample mean X = 5.0
- Sample standard deviation (s) = 1.5
- Population mean (μ) = 3.0 (average adult score on the Life Events Inventory)
The null hypothesis (H₀) is that there is no significant difference in the average score for new parents compared to the population mean. The alternative hypothesis (H₁) is that there is a significant increase in the average score for new parents.
Using an alpha level of 0.05, we can find the critical statistic (t_critical) using a t-table or statistical software. The degrees of freedom (df) for this test is n-1 = 48. By looking up the critical value for a one-tailed test with an alpha of 0.05 and 48 degrees of freedom, we can find the t_critical value.
The critical statistic (t_critical) will determine whether we reject or fail to reject the null hypothesis based on our calculated t-value from the sample data.
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in a triangle ABC, A=60°, C=90° and line AC=12m find length of the hypotenuse
Answer:d
Step-by-step explanation:
ILL GIVE BRAINLY IF YOU CAN HELP ASAP
Answer:
D
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
If you simply add a negative sign to the x coordinate, you get the reflected point.
answer please thanks
Answer:
-37/6
Step-by-step explanation:
a tank is being filled with water at the rate of 2 3 450t gallons per hour with t > 0 measured in hours. if the tank is originally empty, how many gallons of water are in the tank after 5 hours?
The rate of filling water in the tank is 23450t gallons per hour.
Let's assume that the time taken to fill the tank is t hours.
The volume of water filled into the tank at time t is given by the expression V(t) = 23450t.
The tank is originally empty, which means its volume = 0 gallons.
After 5 hours,
t= 5 hours
The volume of water filled in is given by \(V(5) = 23450 * 5= 1,17,250\) gallons of water.
Therefore, 1,17,250 gallons of water are filled in the tank after 5 hours.
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The graph shown models a linear relation. Use the graph to answer the following questions. The two known points are (0, -3) and (1, -1)
1. What is the value of the dependent variable if the value of the independent variable is 3?
2. Predict the value of the independent variable when the dependent variable is -5.
9514 1404 393
Answer:
3-1Step-by-step explanation:
1. The value can be read from the graph. At 3 units to the right of the vertical axis, the line is 3 units above the horizontal axis. The independent variable has a value of 3 at that point.
__
2. The dependent variable has a value of -5 at the next grid line just below the bottom of the graph shown. The value of the independent variable is -1 at that point.
What is the value of p in the followingWhat is the value of p in the following division problem?
7/8 ÷ p = 1 11/24
Answer:
p=3/5
Step-by-step explanation:
steps are in the picture.
If you need to ask question about it ,i shall gladly give your answer.
Encuentre el valor de x en la siguiente ecuación 6x = 4x + 6
Answer:
\(6x = 4x + 6 \\ 6x - 4x = 6 \\ 2x = 6 \\ x = \frac{6}{2} \\ \boxed{x = 3}\)
Answer:
x = 3
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Add.
(56² − 3b + 2) + (26 — 4)
What is the answer? Enter your answer in the blanks.
Answer:
The correct answer is 5b²-b-2
20 pennise in 4 equal grops
The value of the statement given as 20 pennies in 4 equal groups is 5 pennies per group
How to evaluate the statement?The statement is given as:
20 pennies in 4 equal groups
The above statement can be represented as:
Number of pennies = 20 pennies/4
Evaluate the quotient
Number of pennies = 5 pennies
Hence, the value of the statement given as 20 pennies in 4 equal groups is 5 pennies per group
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If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answer:
\(b. \: \: 32\)
Step-by-step explanation:
\(4(x - 2)\)
\(4(10 - 2)\)
\(4(8)\)
\(32\)
Hope it is helpful...A particular fruit's weights are normally distributed, with a mean of 204 grams and a standard deviation of 16 grams. If you pick 23 fruits at random, then 7% of the time, their mean weight will be greater than how many grams
If we pick 23 fruits at random, then 7% of the time, their mean weight will be greater than 210.8 grams.
To solve this problem, we need to use the Central Limit Theorem, which states that the sampling distribution of the means of a random sample from any population will be approximately normally distributed if the sample size is large enough.
In this case, since we are picking 23 fruits at random, we can assume that the sampling distribution of the mean weight of the fruits will be approximately normal with a mean of 204 grams and a standard deviation of 16/sqrt(23) grams.
To find the weight of the fruits such that their mean weight will be greater than a certain amount 7% of the time, we need to find the z-score associated with that probability using a standard normal distribution table. The z-score can be calculated as:
z = invNorm(0.93) = 1.475
where invNorm is the inverse normal function. This means that the weight of the fruits such that their mean weight will be greater than this amount 7% of the time is:
x = 204 + 1.475*(16/sqrt(23)) = 210.8 grams (rounded to one decimal place)
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