The proportion y/x = 7/2 indicates that the slope of the line is 7/2. Without additional information, we cannot determine the y-intercept from this proportion.
Explanation:Pierce used the proportion y/x = 7/2 when deriving the equation of a line with similar triangles. This proportion suggests that for every 2 units of increase in x, y increases by 7 units. Therefore, the slope of the line, which is the ratio of the change in y (rise) to the change in x (run), would be 7/2. Thus, the correct answer is (c) the slope of the line is 7/2.
Because the question does not provide a specific point on the line, we cannot determine the exact y-intercept from the information given. However, since the proportion does not indicate any specific y-intercept value, we cannot conclude that it is 0, 2/7, or 7/2 without additional information. We only know the relationship between y and x given by the slope.
which of the following represents the formula that could be used to find the height of the cone
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes. What was Alex's average speed?
ow do I put circumference, diameter, and pi into a formula
Evaluate the expression. If necessary, round to the nearest hundredth.
log 2.8
A car is traveling at a speed of 75 km/h. Identify the correct conversion factor setup required to compute the speed of the car in m/s.
A)
75km
1hr
x
1000m
1km
x
1hr
60min
x
60s
1min
B)
75km
1hr
x
1000m
1km
x
1hr
60min
x
1min
60s
C)
75km
1hr
x
1000m
75km
x
1hr
60min
x
1min
60s
D)
75km
1hr
x
1000m
75km
x
1hr
60min
x
60s
1min
Therefore, the speed of the car in m/s is [tex]\frac{75000}{3600}[/tex] m/s i.e., option (B) is correct.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A car is traveling at a speed of [tex]75[/tex] km/h.
As we know,
[tex]1km=1000m[/tex]
[tex]1h=60s[/tex]
So,
[tex]75[/tex] km/h=[tex]\frac{75(1000)}{3600}[/tex] m/s
[tex]=\frac{75000}{3600}\\\\[/tex]
Hence, the speed of the car in m/s is [tex]\frac{75000}{3600}[/tex] m/s i.e., option (B) is correct.
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The formula for glue says to add 55 mL of hardener to each container of resin. How much hardener should be added to 16 containers of resin? Write your answer in liters.
To determine how much hardener is required for 16 containers of resin, multiply 55 mL by 16 to get 880 mL, and then convert this to liters by dividing by 1,000, resulting in 0.88 liters of hardener needed.
Explanation:To determine how much hardener should be added to 16 containers of resin, we must multiply the amount needed for one container by the number of containers. The formula given states that 55 mL of hardener is required for each container of resin. To find the total amount for 16 containers, we perform the following multiplication:
Calculate the total milliliters needed: 55 mL/container × 16 containers = 880 mL.Convert the total milliliters to liters:Therefore, 0.88 liters of hardener should be added to 16 containers of resin.
Final answer:
To determine the amount of hardener needed for 16 containers of resin, multiply 55 mL by 16 to get 880 mL and then convert that to liters, resulting in 0.88 liters of hardener.
Explanation:
To find out how much hardener should be added to 16 containers of resin, where each container requires 55 mL of hardener, you need to do a simple multiplication operation. Multiply the amount of hardener needed for one container by the number of containers:
Multiply 55 mL by 16:Now, convert milliliters to liters. Since there are 1,000 milliliters in a liter:Therefore, you should add 0.88 liters of hardener to the 16 containers of resin.
Find the mean and median of these data: 2,5,9,11,17,19
#22 #24 and #26 HELP
Help I can’t find the area
Pleaseee help
If you multiplied a number by 1/2, the result would be
1. Less than 1
2. Half of the original number
3. A fourth of the original number
4. Twice as large as the original number
combine terms 12a+26b-(4b+16a)
A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds
What is the solution of the equation
What is the slope that passes through the pair of points? (-1, 4), (3, 12)
A. -2
B. 2
C. 4
D. -4
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
The linear function that represents this graph is given by:
y = 300 - 0.6667x.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.From the graph, when x = 0, y = 300, hence the y-intercept is of b = 300. The amount decays to 0 when the x-intercept is of x = 450, hence the slope is given by:
m = -300/450 = -0.6667.
Which means that the equation is:
y = 300 - 0.6667x.
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The triangle shown must be a right triangle if x= in
A) 8
B) 12
C) 16
D) 144
Answer:
The value of x is 12 in
Step-by-step explanation:
Given the right angled triangle having sides 5 in , 13 in and x in
We have to find the value of x.
By applying Pythagoras theorem, we get
[tex]Hypotenuse^{2} = Base^{2} + Perpendicular^{2}[/tex]
⇒ [tex]13^{2}=x^{2}+5^{2}[/tex]
⇒ [tex]169=25+x^{2}[/tex]
⇒ [tex]x^{2} = 144[/tex] ⇒ x=12 in
Hence, length of base is x in i.e 12 in
Find the unknown. 531 = ( × 6) + 21
HELP!!!!!!!!!!!!!!!!
What is the area of the figure?
What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.
answer chices are not there i need to type it in
Is my answer correct or incorrect? Explain please. Thank you
Mrs.Nellon’s class sold 18 rolls of wrapping paper.In all, the school sold 82 rolls. About what percent of the sales came from Mrs.Nellon’s class?
anyone know how to solve by giving me not only an explanation in words but can show me the equation, to solve the problem below? thanks
3(x+7)=6(x+2)
Please someone help!!! The sides of the base of a square right prism are 16 cm each and the height of the prism is 10 cm. what is the surface area of this prism?
Answer:
C
Step-by-step explanation:
Can someone please explain number 11?
x^2-6x=-1 If the quadratic equation has real solutions, what are the solutions? Explain. Estimate irrational solutions to the nearest tenth.
PLEASE HELPPPPPPPPPPPPPPP
It took 25.5 bottles to fill a cooler and each bottle contained 1.8 liters. How many liters are in the cooler
what number when increased by 75% of itself will equal to 80?
[tex] p\%=\dfrac{p}{100}\to 75\%=\dfrac{75}{100}=0.75\\\\n-the\ number\\\\the\ equation:\\\\n+0.75n=80\\\\1.75n=80\ \ \ \ |:1.75\\\\n=\dfrac{80\cdot100}{1.75\cdot100}\\\\n=\dfrac{8000}{175}\\\\n=\dfrac{8000:25}{175:25}\\\\n=\dfrac{320}{7}\\\\n=45\dfrac{5}{7} [/tex]
Simplify the expression. (2x^2y)^3
Answer:
8x6y3 3 and six put at top between y and and threeSure, I'd be happy to show you how to simplify this expression. Here are the steps:
1. In this expression, we have three numbers that are being multiplied together, 2, x^2, and y, and the entire product is raised to the power of 3.
2. Let's take each part of the product individually and raise them to the power of 3.
For the first part, 2 raised to the power of 3: this gives us 8, since 2 * 2 * 2 equals 8.
3. The next part is [tex]x^2[/tex] raised to the power of 3. When raising a power to another power, we multiply the powers together. Therefore, (x^2)^3 becomes x^(2*3), which can be simplified to x^6.
4. Finally, y raised to the power of 3 remains as y^3.
5. So, when we put together all three parts, we obtain the simplified expression, and (2x^2y)^3 simplifies to 8x^6y^3.
So, the simplified expression for (2x^2y) ^3 is 8x^6y^3.
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