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Juli2301 [7.4K]
3 years ago
8

A charity collected $40 for each mile Carlos ran in a race. If the charity received $400, which equation could you use to find o

ut how many miles Carlos ran in the race?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0
Are there choices listed? If not, then we can take the information given and translate it to an equation as follows: 40m = 400. Solve for m by dividing both sides by 40 and find that Carlos ran 10 miles.
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The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7
Kisachek [45]

Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

b'=\frac{2x}{2}=x

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

13^2=x^2+(x+7)^2

Simplify the expression:

169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120

Use the quadratic formula, where:

a=2\\b=14\\c=-120

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Then:

x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}

x_1=5\\x_2=-12

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

b=2x=2(5)=10

7 0
3 years ago
13. Jason rode his bike 529 fewer meters than Allison. Jason rode 1 km 850m.
Bumek [7]

Answer:

2km 379m

Step-by-step explanation:

If you add the 529 meters more that Allison rode to 850 meters it adds up to 1379 meters which is 1 kilometer and 379 meters, and then you add the kilometer to it and its a total of 2 kilometers and 379 meters

7 0
3 years ago
Mr. Martin's math test, which is worth 100 points, has 35
AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

x+y=35\\5x+2y=100

From equation no 1:

x+y=35\\x=35-y

Putting x=35-y in second equation

5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

  • brainly.com/question/11566221
  • brainly.com/question/13063819

#LearnwithBrainly

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3 years ago
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On a coordinate plane, parallelogram A B C D is shown. Point A is at (negative 3, negative 1), point B is at (7, 9), point C is
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Answer: HOPE THIS HELPSS!!! please mark me brainliestt

11 by 20

             110

             110

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3 years ago
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A^2 + b^2 = c^2
8^2 + b^2 = 12^2
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b^2 = 144 - 64
b^2 = 80
b = sqrt 80
b = 8.9 ft <===
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3 years ago
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