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Butoxors [25]
3 years ago
11

A cafeteria manager needs to know how many apples and bananas to to order. He asked students to choose either an apple or a bana

na as their preferred fruit. The survey results know that of the students who responded, 7/10 picked apples. If 84 students picked apples, how many picked bananas?
Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

36

Step-by-step explanation:

The answer is easy to find if we use the cross-multiplication method.

We know 7 students out of 10 picked apples, then 3 out of 10 picked bananas.

We know the number of people who picked apples.

\frac{apples}{bananas} = \frac{7}{3} = \frac{84}{x}

We just have to isolate x, this way and solve the problem:

\frac{7}{3} = \frac{84}{x}

becomes

x = \frac{84 * 3}{7} = \frac{252}{7} = 36

So, 36 students picked bananas as their favorite fruit.

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If m∠1 = 105 and m∠4 = 115, then m∠6 =<br><br> 40<br> 50<br> 60<br> 75
ale4655 [162]
< 1 + < 2 = 180...straight lines = 180
< 3 + < 4 = 180...straight lines = 180
< 2 + < 3 + < 6 = 180....interior angles of a triangle = 180

so if < 1 and < 2 = 180, then < 2 = 180 - 105 = 75
and if < 3 and < 4 = 180, then < 3 = 180 - 115 = 65

now...< 2 + < 3 + < 6 = 180
75 + 65 + < 6 = 180
140 + < 6 = 180
< 6 = 180 - 140
< 6 = 40 <===

6 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line shown.
sertanlavr [38]

Answer:

3/4

Step-by-step explanation:

First of all, we need to calculate the slope of the line shown. This can be computed as:

m=\frac{\Delta y}{\Delta x}

where

\Delta y = y_2-y_1 is the increment along the y-direction

\Delta x = x_2 - x_1 is the increment along the x-direction

We can choose the following two points to calculate the slope of the line shown:

(-3,2) and (0,-2)

And so, the slope of the line shown is

m=\frac{-2-(2)}{0-(-3)}=-\frac{4}{3}

Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:

m_2 = -\frac{1}{m_1}

Using m_1 = -\frac{4}{3}, we find that a line perpendicular to the line shown should have a slope of

m_2 = -\frac{1}{-4/3}=3/4

5 0
3 years ago
Area of a parallelogram of base 10cm and height4cm
LekaFEV [45]
The formula for finding the area of a parallelogram is-
A=b*h   Where A=Area b=base length h=height
A=10*4
A=40
8 0
3 years ago
I need help on the 3 of them
Tamiku [17]

Answer:

1) 75 minutes / 1hour 15minutes

Step-by-step explanation:

to get one question done takes (45 ÷ 12) minutes. then times by 20.

Answer

2) I'm not too sure, I got 208.3 reoccurring, but that doesn't seem right so sorry if it's wrong

Answer

3)168 girls

step-by-step explanation

364 ÷ (6+7) × 6

6 0
3 years ago
Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo
elena55 [62]

Answer:

\displaystyle y-5=-\frac{10}{9}(x+6)

Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

Thus, first, we need to find the slope. We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

\displaystyle y-(5)=-\frac{10}{9}(x-(-6))

Or, fully simplified:

\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

8 0
3 years ago
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