Step-by-step explanation:
y = 2/3x + 7
Multiply both sides by 3 to get rid of the fraction 2/3
3y = 2x +21
subtract 2x from both sides
3y - 2x = 21
Answer ofc is 3x - 2y = 21
Please rate if you get the answer right.
This box is 3/4 inch long, 1/2 inch wide, and 1/4 inch deep. What is the volume of the box?
A: 3/16 inch ^3
B: 3/8 inch ^3
C: 3/32 inch ^3
D: 1 1/2 inch ^3
The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
Calculating VolumeFrom the question, we are to determine the volume of the box
The volume of a box is given by the formula,
V = l × w × h
Where V is the volume
l is the length
w is the width
h is the height or depth
From the given information,
l = 3/4 inch
w = 1/2 inch
h = 1/4 inch
Thus,
Volume of the box = 3/4 × 1/2 × 1/4
Volume of the box = 3/32 inch³
Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
Learn more on Volume here: https://brainly.com/question/463363
#SPJ1
pirya has picked 1 1/2 cups of raspberries, which is enough for 3/4 of a cake how many cups does she need for the whole cae
Pirya needs 1 1/2 cups of raspberries for 3/4 of a cake, so she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.
What is fraction?A fraction is a numerical representation of a portion of a total. It consists of two integers, a numerator and a denominator, separated by a line or slash. The numerator reflects the number of equal portions of the whole that are being considered, while the denominator represents the total number of equal parts in the whole. For instance, the fraction "1/2" denotes one of two identical pieces, or half, of the whole. Mathematicians frequently utilize fractions to represent quantities, ratios, and proportions. They are also used in everyday life to signify amounts, such as one-half of a pizza or one-third of a cups of sugar.
How to solve?
she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.
To learn more about fraction, visit:
https://brainly.com/question/20593515
#SPJ4
What is the equation of the line that passes through the point (3, -3) and has a
slope of o?
Answer:
y = -3
Step-by-step explanation:
point = (3, -3)
slope (aka m) = 0
y = mx + b
-3 = (0)(3) + b
b = -3
y = (0)x - 3
y = -3
Write a scenario for the equation y = 4x.
Answer: For every apple you sell, you earn 4 bucks. y is the number of apples, 4 is the constant price.
Please help the question is in the picture that I attached
Answer:
-22
Step-by-step explanation:
f(-2) = -2(-2)^2 + 7(-2)
= -2(4) + 7(-2)
= -8 + -14
= -22
Answer: Children are dying in Palestine and you're more concerned about this? Shame what this world has come to. Explanation:
Step-by-step explanation:
Write the linear equation of this line.
Find the union and the intersection of the given intervals I₁=(-2,2]; I₂=[1,5) Find the union of the given intervals. Select the correct choice below and, if necessary, fill in any answer boxes within your choice A. I₁ UI₂=(-2,5) (Type your answer in interval notation.) B. I₁ UI₂ = ø Find the intersection of the given intervals Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. I₁ ∩I₂ (Type your answer in interval notation) B. I₁ ∩I₂ = ø
To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.
The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:
I₁ U I₂ = (-2, 2] U [1, 5)
To find the union, we combine the intervals while considering their overlapping points:
I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)
So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).
Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:
I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)
To find the intersection, we consider the overlapping range between the two intervals:
I₁ ∩ I₂ = [1, 2]
Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].
Learn more about intersections here : brainly.com/question/12089275
#SPJ11
solve for x pls help
Answer:
23
Step-by-step explanation:
51+(2x+3)=100
54+2x=100
-54 -54
2x=46
x=23
WILL GIVE BRAINLIEST MATH QUESTIN. PLEASE WIRTE OUT STEPS!!!!
A water tank holds 1,216 gallons but is leaking at a rate of 5 gallons per week.
A second water tank holds 1,520 gallons but is leaking at a rate of 9 gallons per week.
After how many weeks will the amount of water in the two tanks be the same?
Answer: Im not giving answer to that but i will do this one
A water tank holds 256 gallons but is leaking at the rate of 3 gallons per week. A second water tank holds 384 gallons and is leaking at a rate of 5 gallons per week.After how many weeks will the amount of water in the two tanks be the same.
Step-by-step explanation:
you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.
Set up both the equations....
In y=mx+b form--->>>
y=-3x+256
y=-5x+384
To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)
-3x+256=-5x+384
-3x+256=-5x+384
-256 -256
-3x=-5x+128
-3x=-5x+128
+5x+5x
2x=128
x=64
After 64 weeks the amount of water in both tanks will be the same.
Thus, your answer.
let be a differentiable function where 9 and 4 and 3. if we change by -0.7 and we change by 0.3 then we can expect the value of to change by approximately what amount
If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.
Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"
Using the linear approximation formula, we have:
\(Δf(x) ≈ f'(9) Δx\)
where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.
We can rearrange the formula to solve for Δf(x):
\(Δf(x) ≈ f'(9) Δx\)
Δf(x) ≈ 3(-0.7)
Δf(x) ≈ -2.1
This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.
Learn more about value here:
https://brainly.com/question/30145972
#SPJ11
Solve the factor of polynomials the volume of prism is x^(3)+64. If the the table height is the binomial factor of the volume Factor is the product of length and width find the height of prism.
The height of the prism after solving the factor of polynomials is (x + 4) / (lw)
Given:
Volume of prism = x³ + 64
Volume factor is the product of length and width
Let's find the factors of given polynomial x³ + 64 using the identity a³ + b³ = (a + b) (a² - ab + b²)
Using this identity
x³ + 64 = x³ + 4³ = (x + 4) (x² - 4x + 16)
So, the volume factor is (x + 4)
Let's find the height of prism:
The volume factor is the product of length, width, and height, soh = (Volume factor) / (lw)= (x + 4) / (lw)h = (x + 4) / (lw)
Therefore, the height of the prism is (x + 4) / (lw).
To know more about prism refer here:
https://brainly.com/question/12649592
#SPJ11
Solve the equation by substitution y=x+1 and 2y=3x
Step-by-step explanation:
suby=x+1 in 2y=3x
2(x+1)=3x
2x+2=3x
2=3x-2x
2=x
what is the probability that a randomly selected member of the u.s. labor force was unemployed in 2011?
The probability that a randomly selected member of the US labor force was unemployed in 2011 was approximately 0.087 or 8.7%.
This can be calculated by dividing the number of unemployed individuals in the labor force by the total number of individuals in the labor force. According to the US Bureau of Labor Statistics, there were 13.9 million unemployed individuals in the US labor force in 2011, out of a total labor force of 159.7 million. Dividing 13.9 million by 159.7 million gives a probability of approximately 0.087, or 8.7%.
Learn more about Probability:
https://brainly.com/question/13604758
#SPJ4
medical researchers are conducting a double-blind experiment treating high blood pressure patients with a new vitamin supplement. the researchers are conducting a hypothesis test in which a type i error is very serious, and the type ii error is not very serious. which level of significance is the best choice?
In a speculation test, a blunder happens when we dismiss invalid speculation that's really genuine, whereas a Sort II mistake happens when we fall flat to dismiss a null theory that's really wrong.
Since a Sort I error is more genuine in this situation, we need to play down the likelihood of making such a mistake. This implies we ought to select a lower level of noteworthiness, which decreases the likelihood of dismissing genuine invalid speculation.
In rundown, the leading choice of level of noteworthiness for this double-blind therapeutic test would be a lower level, such as 0.01 or 0.001, to minimize the likelihood of making a Sort I mistake, which is more genuine in this situation.
To learn about speculation tests visit:
https://brainly.com/question/11530704
#SPJ4
plz help ASAP!!!!!!!!!!!!!
Answer:
3rd option is correct
Step-by-step explanation:
If the table represents a function, that means that it is proportional. But the value increases and decreases, showing no proportional relationship.
So, the answer could be 1st or 3rd as they tell that the table doesn't represent a function.
1st answer says the table doesn't represent a function because the 2 (y-values) are similar;
Their x-values are different so, this answer is wrong.
3rd answer says that the table doesn't represent a function x-value increases, while y-value increases and decreases;
The statement is correct because it this table doesn't represent a proportional relationship as its y-values are increasing and decreasing while its x-values are only increasing.
So, the 3rd option is correct.
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answer:
? = 120°
Step-by-step explanation:
the central angle is the same as the arc that subtends it , that is
? = 120°
Pizza Shop A pizza shop uses flour at a daily rate that is normally distributed with a mean of 15 pounds and a standard deviation of 6 pounds. When the pizza shop places an order for the flour it requires 4 days for the order to arrive. What is the reorder point if the pizza shop wants to limit the probability of a stockout to 7 percent? 63.10 pounds 60.00 pounds 75.04 pounds 62.16 pounds 77.76 pounds 71.40 pounds 107.76 pounds
The closest option to the reorder point is 71.40 pounds.
To determine the reorder point, we need to find the demand during the lead time and the safety stock.
First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.
Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.
Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.
The standard deviation is given as 6 pounds.
So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.
Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.
Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.
Therefore, the closest option to the reorder point is 71.40 pounds.
To learn more click the below link
https://brainly.com/question/14214111
#SPJ11
A scale drawing of Jack's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm. If each 1 cm on the scale drawing equals 5 feet, what are the actual dimensions of the room? (5 points) Length = 11 feet, width = 9 feet Length = 30 feet, width = 20 feet Length = 8 feet, width = 12 feet Length = 22 feet, width = 20 feet
Answer:
(b) Length = 30 feet, width = 20 feet
Step-by-step explanation:
The scale factor is applied to the drawing dimensions to find the actual dimensions.
__
length = (6 cm) × (5 ft)/(1 cm) = 30 ft
width = (4 cm) × (5 ft)/(1 cm) = 20 ft
_____
Additional comment
You can also write the scale factor as part of a proportion:
5 ft : 1 cm :: x ft : 6 cm
Multiplying by 6 cm gives
(5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above
Please help I’m very confused!!
Answer:
x=-2.5
Step-by-step explanation:
3 4(2.5-5) = (1/27) 2(-2.5+10)
I hohonestly don't know how to explain it
Please help!
Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 7 units, with angular speed 2 radians per second.
The equation that describes the simple harmonic motion of the particle is:
x = 7 * sin(2t + φ)
The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:
x = A * sin(ωt + φ)
In this equation:
x represents the displacement of the particle at time t.
A represents the amplitude of the motion.
ω represents the angular frequency or angular speed of the motion.
t represents time.
φ represents the phase constant.
In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.
Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.
Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.
The phase constant (φ) determines the initial position of the particle at t = 0.
for more such questions on harmonic motion
https://brainly.com/question/29159741
#SPJ8
Find the coordinates of T(4,-5) after a translation by the rule (x,y) → (x-8, y + 5).
Answer: T(-4, 0)
Step-by-step explanation:
(x,y) → (x-8, y + 5)
T(4,-5) ==> T(4-8,-5+5) ==> T(-4, 0)
an electrician charges $15 per hour plus a callout chare of €25. Draw a number machine for the electrician's charge
Answer:
Shown below
Step-by-step explanation:
I believe that the number machine would look like this:
number of hours x (£15) + (£25)
slope is so hard i dont know how to do it pls help
Answer:
a 2/5
Step-by-step explanation:
have a good day /night may i please have a branlliest
Answer:
2/5
Step-by-step explanation:
-5y = -2z +9
5y = 2z -9
y = 2/5z -9/5
what is the value of sin E? write your answer as a simplified fraction
Answer:
\( \frac{20}{101} \)
Step-by-step explanation:
I hope this helps
I need help.Im not very smart.
\(\frac{2}{3} x = 4\\2x = 4 * 3\\2x = 12\\x = 6\)
Hope that helps!
Find the original price if the sale price of the cell phone is $205.50. The phone is on sale for 30% off.
Answer:
The answer is 293.57.
Hope you do great!
Step-by-step explanation: The way you do it is by seeing the 100% of any number and subtracting the 30% off and then divide the number by 70% and then multiply that number by the original 100%!
i really need pleaseee asap !!!
PLEASE HELP!!
please help me!
Answer:
5488Step-by-step explanation:
For the last bit multiply 49 by 112 to find 2P:
2P = 49*1122P = 5488Then find the value of P if needed:
P = 5488/2P = 2744Simplify
2P=5488Divide both sides by 2
2P/2=5488/2P=2744PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS
Answer:
i think its the first one
Answer:
-1 vertical, 5 horizontal
Step-by-step explanation:
On the y-axis, the shape has moved down 1, which is –1 vertical.
On the x-axis, the shape has moved right 5, which is 5 horizontal.
The perimeter of a square megsures 26 cm. What is the length of one side of the square
Answer:
6.5 cm
Step-by-step explanation:
Please find step by step explanation on picture