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tangare [24]
3 years ago
15

Find the number, if the sum of 9 and a half a number equals 35. Which of the following translations is correct?

Mathematics
2 answers:
lianna [129]3 years ago
8 0
Let's translate “ the sum of 9 and a half a number equals 35 " into an equation which is:
9+1/2x=35
Or
9+x÷2=35
Solve:
9+1/2x=35
Subtract 9 to each side
9+1/2x-9=35-9
1/2x=26
Multiply 2 to each side
1/2x*2=26*2
x=52
It
9+x÷2=35
Subtract 9 to each side
9+x÷2-9=35-9
x÷2=26
Multiply 2 to each side
x÷2*2=26*2
x=52. As a result, the correct choices are 9+x÷2=35. Hope it help!
Alla [95]3 years ago
6 0
I think its the first choice
9+1/2x=35 is the original equation if you translate the words, but 9+x divided by 2=35 is equivalent
hope this helps!
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Solve for n. 24 = 3(n -5)​
Masteriza [31]

Answer:

n=13

Step-by-step explanation:

24=3(n-5)

24=3n-15

-3n=-24-15

-3n=-39

n=13

8 0
3 years ago
Find a solution to the equation 4(x + 7) = 38
yKpoI14uk [10]

Answer:

4(x+7)=38

4x+28=38

4x=38-28

4x=10

(divide by 4)

x=2whole number 2/4

=2whole number 1/2

or x=2.5

6 0
2 years ago
A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5
Nuetrik [128]

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6

4 0
2 years ago
Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 16.
navik [9.2K]

The transformations are

  • (b) A vertical shift 16 units downward.
  • (d) A horizontal shift 16 units to the right

<h3>How to determine the transformation?</h3>

The functions are given as:

f(x) = x

g(x)= x - 16

When a function is shifted right, the transformation rule is:

(x, y) = (x - h, y)

This means that the transformation is (d) A horizontal shift 16 units to the right

Since the parent function is a base linear function.

The transformation can also be represented as:

(x, y) = (x, k - h)

This gives

g(x)= x - 16

This means that the transformation is (b) A vertical shift 16 units downward.

Hence, the transformations are (b) and (d)

Read more about transformation at:

brainly.com/question/11709244

#SPJ1

8 0
1 year ago
Please someone help me
Vanyuwa [196]
1.
1/4 is less then 2/4 or 1/2so if the denominator is equal it will be easier to multiply
3 0
3 years ago
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