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3 years ago

Dana took a 20-question test and scored 85% how many problems did she answer incorrectly

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

Answer:

85/100 = x/20

100x = 1700

x = 17 questions she answered correctly

x + 17 = 20

x = 3 questions she answered incorrectly

Step-by-step explanation:

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for a trip, one high school rented and filled 2 vans and 8 buses with 176 students.another high school instead fit its 164 stude

vodka [1.7K]

Answer:

A bus carries 20 students while the van carries 8 students

Step-by-step explanation:

Let's assume that the number of students that the bus can carry is X And

The number of students that the van can very be y

From first statement,

8x + 2y = 176______ first equation

From Second statement,

7x + 3y = 164______ second equation

The above is a simultaneous equation and we will use the elimination method to solve for both x and y

But if we take a look at both equations,we will find out that we can't make use of the elimination method since the coefficients of both x and y aren't same in both equations.

What we have to do now is to multiply equation 1 by 3 and multiply equation 2 by 2 so as to get the coefficients of y in both equation to be the same.

Initially, both equation are

8x + 2y = 176____ first equation

7x + 3y = 164____ second equation

They will now be :

24x + 6y = 528(was multiplied by 3)

14x + 6y = 328(was multiplied by 2)

Now subtract equation 2 from 1 and we have

10x = 200

X = 20

Now substitute x = 20 in equation 1 above

8x + 2y = 176

(8 × 20) + 2y = 176

2y = 176 - 160

Y = 8

Remember that we assumed that the number of students that each bus carried was x and van was y,now we know the values of c and y to be 20 and 8 respectively.

Therefore, each bus carried 20 students and each van had 8 students on it

8 0

3 years ago

Read 2 more answers

Evaluate(-<br><img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%29%5E%7B5%7D%20" id="TexFormula1" title="( \frac{1}{

Archy [21]

Answer:

0.03125

Step-by-step explanation:

In fraction form i got 1/32. Hope this helps a little bit!

3 0

4 years ago

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each pur

iren2701 [21]

Answer:

The correct answer is: Option D: 8

Step-by-step explanation:

Given that she spent $208 on the sewing machines

And

the equation for profits to break even is:

208 + 10x = 36x

In order to find the number of purses to break even, we have to find the value of x

So,

$208+10x=36x$

Subtracting 10x from both sides

$208+10x-10x = 36x-10x\\208 = 26x$

Dividing both sides by 26

$\frac{208}{26} = \frac{26x}{26}\\x = 8$

The number of purses is 8

Hence,

The correct answer is: Option D: 8

3 0

3 years ago

Read 2 more answers

What is the value of the expression? plz help!!

hichkok12 [17]

Here you go! I tried to do a step by step solution to each one. I also tried writing down what I did for #9 and #10 because it was asking for dividing fractions. Try to change the bottom of the fraction into a common number by multiplying the top and bottom for addition and subtraction. For multiplication, you can just multiply the top and then the bottom. Hope this helps :)