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AlekseyPX
3 years ago
5

A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.At this rate,how many cups of sugar shou

ld be used if 2 cups of bananas are used ?
Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer: 1 cup of sugar

Step-by-step explanation:

A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.

Converting 1 1/2 cups of sugar to improper fraction becomes 3/2 cups of sugar.

If 3 cups of bananas is required for 3/2 cups of sugar,

x cups of bananas will require 1 cup of sugar

3x / 2 = 3

3x = 6

x = 6/3 = 2

Therefore,

2 cups of bananas will require 1 cup of sugar.

We are looking for the number of cups of sugar that would require 2 cups of bananas.

We already got the answer.

1 cup of sugar would be used if 2 cups of bananas are used.

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Solve 4x - 7 = 2x + 3<br> Show all work
bearhunter [10]

Answer:

x = 5

Step-by-step explanation:

Step 1:

4x - 7 = 2x + 3           Equation

Step 2:

2x - 7 = 3           Subtract 2x on both sides

Step 3:

2x = 10         Add 7 on both sides

Step 4:

x = 10 ÷ 2        Divide

Answer:

x = 5

Hope This Helps :)

5 0
3 years ago
Read 2 more answers
Find the intercepts.<br> . (-1,5) and (-3,-5)
Firdavs [7]

Answer:

x-intercept: (-2, 0), y-intercept: (0, 10)

Step-by-step explanation:

First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.

This means that the slope of this line is 5.

To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)

5=5(-1)+?

-5+<u>10</u>=5.

The complete equation for this line is y=5x+10.

From here, the y-intercept is easy, because the number after the coefficient and variable (5 and x) are before the y-intercept (in standard form). The <em><u>y-intercept is (0, 10)</u></em> because if you plug in 0 for the x-value, you will get 10 as your y-value.

On the other hand, if you plug in 0 for your y-value and solve it out, you will get the x-intercept.

0=5x+10

-10=5x

x=-2

So the <em><u>x-intercept is (-2, 0)</u></em>.

5 0
3 years ago
A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder sl
algol [13]

Answer:

As per the statement:

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building.

⇒Length of the ladder against a building = 25 foot

and Length of the bottom of the ladder from the building= 7 feet.

You had Before the slip.

Let x be the height of the building where ladder hits the building

By Pythagoras theorem:

\text{Hypotenuse side}^2=\text{Perpendicular}^2+\text{Base}^2

Here, Perpendicular side = Height of the building = x ,  Base = Length of the bottom of the ladder from the building = 7 foot and Hypotenuse side = 25 foot

Substitute the value to solve for x;

25^2=x^2+7^2

625=x^2+49

or

x^2 = 625-49 = 576

x = \sqrt{576} = 24 foot.

⇒Height of the building = 24 foot

Now, if the ladder slips down 4 feet.

You had after slip

⇒Now, the height of the building becomes = 24-4 = 20 foot.

Let y be the distance from the building wall

then by Pythagoras theorem;

y^2+20^2 = 25^2

y^2+400 =625

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We have to find how many feet will the bottom slide out.

Since, Originally the distance of the bottom from the building = 7 foot

And now, the distance is = 15 foot.

The bottom slide out will be = 15 - 7 =8 foot

Therefore, 8 feet will the bottom slide out

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3 years ago
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Levart [38]

Answer:

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Step-by-step explanation:

Proportional functions can be represented by y=kx, where k is a constant of proportionality and (x, y) represents any point the line passes through.

In the graph, we can see the line passes through (20, 40). Therefore, we can plug in these coordinates to find the constant of proportionality:

y=kx,\\40=k(20),\\k=\frac{40}{20}=\boxed{\text{C. }2}

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Answer:

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Step-by-step explanation:

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