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pav-90 [236]
3 years ago
14

An equation is shown below: 6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain ea

ch step. (6 points) Part B: What value of x makes the equation true? (4 points)
Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer: x = 7

Step-by-step explanation:

6(2x-11)+15=3x+12

1) Distribute 6 (distributive-property)

12x - 66 + 15 = 3x + 12

12x - 51 = 3x + 12

Subtract 12 from both sides; what ever you do to one side, you need to do to ther other.

12x - 63 = 3x

Subtract 3x from both sides.

9x - 63 = 0

Add 63 to both sides.

9x = 63

Divide by 9 to getx by itself.

63/9 = 7

x = 7

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Suppose the relationship between x and y is proportional. When x is​ 29, y is 275.5. Find the constant of proportionality of y t
belka [17]

Step-by-step explanation:

y and x are proportional:

y = kx

When x is 29, y is 275.5.

275.5 = 29k

k = 9.5

y = 9.5x.  When y is 408.5:

408.5 = 9.5x

x = 43

A relationship that can be modeled as a line that passes through the origin (y = kx) is a proportional relationship.

5 0
3 years ago
Read 2 more answers
Alice wants to buy 3 pounds of veal at the grocery store, but the scales at the store only show weight in kilograms. If one kilo
kaheart [24]

Alice should buy 1.36 kilograms of veal.

Step-by-step explanation:

Given,

According to store's scale;

2.20 pounds = 1 kilogram

1 pound = \frac{1}{2.20}\ kg

As Alice wants to buy 3 pounds, therefore,

3 pounds = \frac{1}{2.20}*3\\

3\ pounds = \frac{3}{2.20}\\3\ pounds = 1.36\ kg

Alice should buy 1.36 kilograms of veal.

Keywords: unit rate, fractions

Learn more about fractions at:

  • brainly.com/question/11286417
  • brainly.com/question/12896802

#LearnwithBrainly

3 0
4 years ago
Read 2 more answers
At a fast food restaurant, customers are asked if they want to “round up” their bill to the next highest        dollar and donat
jarptica [38.1K]

Answer:

(a) 0.1414

(b) 0.1010

Step-by-step explanation:

(a)

The density curve is rectangular in shape.

This implies that the distribution of donations is Uniform.

(b)

Compute the probability of donations at least 85 cents as follows:

P(X\geq 85)=\int\limits^{99}_{85} {\frac{1}{99-0} \, dx

                 =\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\

Thus, the proportion of donations that are at least 85 cents is 0.1414.

(b)

Compute the probability of donations between 30 and 40 cents as follows:

P(30\leq X\leq 40)=\int\limits^{40}_{30} {\frac{1}{99-0}} \, dx

                         =\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010

Thus, the probability of donations between 30 and 40 cents is 0.1010.

7 0
4 years ago
Help me please ASAP
nalin [4]
1437.50÷0.125=11500
100%
7 0
3 years ago
A garden has a circular border and a fountain in the center. I measured the distance from one side of the garden to the other, g
Snezhnost [94]

Answer:

The length of the border is approximately 4 feet.

Step-by-step explanation:

Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

length = 2*\pi*radius

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

length = 2*\pi*0.6\\length = 1.2*\pi\\length = 3.8

The length of the border is approximately 4 feet.

7 0
4 years ago
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