combine terms 12a+26b-(4b+16a)
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]
ow do I put circumference, diameter, and pi into a formula
what does x equal? ......
What is 1 over 10 as a percentage?
Answer:
10% or .1 or .10
Step-by-step explanation:
Is my answer correct or incorrect? Explain please. Thank you
What is the solution of the equation
In a bag, there are cards each with one of the numbers {1, 2, 3, 4, 5} written on them. Kenneth reaches into the bag, selects a card, and then replaces it. He repeats this 16 times with the following results.
Number on selected card 1 2 3 4 5
Frequency 5 3 2 4 2
What is the relative frequency that Kenneth selects the card with 4 written on it? Enter your answer in the box.
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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
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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Help I can’t find the area
PLEASE HELPPPPPPPPPPPPPPP
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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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
A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds
Find the mean and median of these data: 2,5,9,11,17,19
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?
#22 #24 and #26 HELP
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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What is the slope that passes through the pair of points? (-1, 4), (3, 12)
A. -2
B. 2
C. 4
D. -4
The front flap of a tent is shaped like an isosceles triangle. The base of the triangle is 16 feet and the height of the triangle is 6 feet. What is the length of the congruent sides of the triangle?
It takes typically $27 to fill up your tank up with gas. You have allotted no more than $108 on gasoline for your trip. A) Write and B) solve an inequality to find out how many times you will get to fill up your tank up witj gas.
Final answer:
The student can fill up their gas tank up to 4 times within their $108 budget for gasoline. The inequality used to determine this is 27n ≤ 108, solved by dividing both sides by 27.
Explanation:
To solve the student's question regarding how many times they can fill up their gas tank within a $108 budget, we need to set up an inequality and solve it. Let's define the variable n as the number of times they can fill up their tank.
Step A: Write the Inequality
Since it costs $27 to fill up one tank, and the student has budgeted no more than $108 for gas, the inequality will be:
27n ≤ 108
Step B: Solve the Inequality
To find out how many times the student can fill up the tank, we divide both sides of the inequality by 27:
n ≤ [tex]\frac{108}{ 27}[/tex]
n ≤ 4
Therefore, the student can fill up their gas tank up to 4 times within their budget.
It took 25.5 bottles to fill a cooler and each bottle contained 1.8 liters. How many liters are in the cooler
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)
Among the expressions, two of them have the same result. Which are they?
a. -25+18+9+(-15)–(-13)
b. (-40)÷(-2)×15-100
c. (-7)×(-5)–(-37)–72
People help me, my account is going wrong!
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:
HELP!!!!!!!!!!!!!!!!
Pierce used the proportion y/x=7/2 when deriving the equation of a line with similar triangles.select 2 that apply and explain
a.the slope of line is 0
b.the slope of line is 2/7
c.the slope of line is 7/2
d. the y int is 0
e.the y int is 2/7 f the y int is 7/2 and again explain plz
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.
x^2-6x=-1 If the quadratic equation has real solutions, what are the solutions? Explain. Estimate irrational solutions to the nearest tenth.
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