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Mekhanik [1.2K]
3 years ago
5

6x + 13 = 37 please provide reasoning

Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

6x + 13 = 37

6x = 37 - 13

6x = 24

x = 24/6

x = 4

Answer: x = 4

TiliK225 [7]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

6x + 13 = 37

(given)

6x + 13 = 37

- 13 - 13

(subtraction property of equality; cancel out the constant term of the left side by subtracting 13 from both sides so 6x is by itself)

6x = 24

÷6 ÷6

(division property of equality; divide both sides by 6 to cancel out the coefficient in 6x in order to solve for x)

x = 4

(this is the solution to the equation)

______________________________

Proof:

Substitute this answer back into the equation in order to verify that the solution forms a true equation.

x = 4 → 6(x) + 13 = 37 → 6(4) + 13 = 37 → 24 + 13 = 37 → <em>37 = 37</em>

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Birds burgers barn sold 485 hamburgers today. The number sold with cheese wise half the number sold without cheese. How many of
frez [133]

Answer:

The number of hamburgers sold with cheese was 165 and the number of hamburgers sold without cheese was 330

Step-by-step explanation:

<u><em>The correct question is</em></u>

Birds burgers barn sold <em>495 hamburgers</em> today. The number sold with cheese wise half the number sold without cheese. How many of each kind were sold?

Let

x -----> the number of hamburgers sold with cheese

y -----> the number of hamburgers sold without cheese

we know that

x+y=495 -----> equation A

x=\frac{1}{2}y ----> equation B

substitute the equation B in equation A and solve for y

y+\frac{1}{2}y=495

\frac{3}{2}y=495

y=495(2)/3

y=330

Find the value of x

x=\frac{1}{2}330=165

therefore

The number of hamburgers sold with cheese was 165 and the number of hamburgers sold without cheese was 330

4 0
3 years ago
A baby weighed 12 pounds at three months and 18 pounds at 6 months. What is the baby rate of change
monitta

Answer:

The rate of change is that every 6 months it gains 6 pounds

Step-by-step explanation:

7 0
3 years ago
A curve passes through the point ????0, 5???? and has the property that the slope of the curve at every point P is twice the y-c
Angelina_Jolie [31]

Answer:y=2x^2

Step-by-step explanation:

Given Curve passes through \left ( 0,5\right )

Also the slope of the curve at every point p is twice the Y-coordinate of p

Let the coordinate of p be\left ( x,y\right )

Therefore

\frac{\mathrm{d} y}{\mathrm{d} x}=2y

\frac{dy}{y}=2dx

Integrating both sides

\int \frac{dy}{y}=\int 2dx

\ln y=2x+c

Substituting values

\ln 5=c

\ln \frac{y}{5}=2x

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7 0
3 years ago
Answer please!! Thanks!
sergij07 [2.7K]

Answer: 9.6 units

<u>Step-by-step explanation:</u>

The formula for the length of a diagonal (d) for a rectangular prism given length (L), width (w), and height (h) is: d² = L² + w² +  h²

Given: L = 8, w = 2, h = 5

 d² = 8² + 2² + 5²

 d² = 64 + 4 + 25

 d² = 93

√d² = √93

 d = 9.6

8 0
3 years ago
Find the measure of the missing angle.<br> 112°<br> a
vfiekz [6]

The measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°

<h3>Calculating the measures of angles </h3>

From the question, we are to determine the measures of the missing angles

From the diagram,

b = 112° (<em>Vertically opposite angles</em>)

∴ b = 112°

Also,

112° + c = 180° (<em>Sum of angles on a straight line</em>)

c = 180°- 122°

∴ c = 68°

Hence, the measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°

Learn more on Calculating the measures of angles here: brainly.com/question/12274210

#SPJ1

7 0
2 years ago
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