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4vir4ik [10]
3 years ago
11

Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was using

required 3/4 cup of sugar and 1/8 cup of butter.
1. Travis accidentally put a whole cup of butter in the mix.
A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?

B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins?

C. The original recipe called for 3/8 cup of blueberries. What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture?
Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

A. (3/4) : (1/8)

Travis must add 6 cups of sugar to maintain the ratio.

B. Travis must multiply the ratio of all other ingredients by 8.

C. (3/8) : (1/8)

Travis must add 3 cups of blueberries to maintain the ratio.

Step-by-step explanation:

A.

3/4 * 8

24/4

6 cups of sugar to maintain the same ratio.

B. 1/8 turned into 1 so that means it was multiplied by 8

C. 3/8 are blueberries and 1/8 is butter

(3/8) * 8

3

This took a long time to do... reward?

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How can you decide which operation to use to solve a problem?
almond37 [142]

Answer:

it you're asking for like an equation like "4x +3 = 15 " then you do the opposite of what the equation is doing. Basically undoing the problem to get back to the roots of it. like for the example i provided you would subtract 3 from both sides, because it was added originally. then you would divide both sides by 4 because originally you were multiplying.

7 0
3 years ago
How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3
vodka [1.7K]

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

<h3>What are transforming functions?</h3>

The transformations of functions describe how to graph a function that exists moving and how its shape exists being changed. There exist basically three kinds of function transformations: translation, dilation, and reflection.

Let f(x) = x³ be the original function.

When -5 exists added to the y-value, it moves the point on the graph down 5 units. Compared to f(x), g(x) exists 5 units down.

f(x) = (x + 4)³ - 5

= [x- (- 4) ]³ - 5 (shift 4 units in the negative x direction that exists 4 units left)

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

To learn more about transforming functions refer to:

brainly.com/question/14261221

#SPJ9

6 0
2 years ago
Select the two statements that are true about the equation y−56=4(x+5)y-56=4(x+5).
Sergio [31]

The correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Step-by-step explanation:

Given equation is:

y-56=4(x+5)

The slope-intercept form is:

y-y_1=m(x-x_1)

Comparing both equations we get

m = 4

y-56=y-y_1\\y_1 = 56\\x+5 = x-x_1\\x_1=-5

The point is (-5,56)

So, the correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Keywords: Point-slope form, Slope

Learn more about point-slope form at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

6 0
4 years ago
Three friends decided to exercise together four times a week to lose fat and increase muscle mass. While all three were healthie
cluponka [151]

Answer:

Lost 6 pounds

Step-by-step explanation:

While all three were healthier after six weeks,

  • the first friend had lost 5 pounds (this means -5),
  • the second friend had gained 3 pounds (this means +3),
  • the third friend had lost 4 pounds (this means -4).

In total, they lost 6 pounds because

-5+3-4=-2-4=-6

8 0
4 years ago
Ralph is an electrician. He charges an initial fee of $26, plus $31 per hour. If Ralph earned $119 on a job, how long did the jo
lubasha [3.4K]


3 hours

You can turn this into an equation:

F = 26 + 31t
Where F is the money Ralph earned, and t is the number of hours he worked.

Plugging in the 119 for F, we get
119 = 26 + 31t

93 = 31t

3 = t

5 0
4 years ago
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