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3 years ago

27.) When 7 is added to 3 times a certain number, the result is 22”

Mathematics

2 answers:

ANTONII [103]3 years ago

6 0

The number is 5/2 or 2.5

7 is added to six times a number, the result is 22

The number sentence is interpreted this way:

7+6n=22

6n=22–7

6n=15

The goal here is to find out the value of n.

Let’s divide both sides of the equation with 6

6n/6=15/6

n= 5/2 or 2.5

Let’s check by substituting the value of n to the given equation.

Always remember to follow the PEMDAS rule. We will deal with Multiplication and Addition after.

If n=2.5

7+6n=22

7+6(2.5)=22

7+15=22

22=22

Given the result, this means that the value of the number represented by n is 2.5 or 5/2.

REY [17]3 years ago

3 0

Answer:

3x+7=22 <- That's the equation

3x -7=22-7

3x =15

3/3 =15/3

x =5

Step-by-step explanation:

Hope this Helps !!!

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6 - 3x = 5x - 10x + 8

Jet001 [13]

Answer:

x=1

Step-by-step explanation:

6-3x=5x-10x+8=

move all terms to the left:

6-3x-(5x-10x+8)=0

add all the numbers together, and all the variables

-3x-(-5x+8)+6=0

get rid of parentheses

-3x+5x-8+6=0

add all the numbers together, and all the variables

2x-2=0

move all terms containing x to the left, all other terms to the right

2x=2

x=2/2

x=1

3 0

3 years ago

After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. W

Maurinko [17]

Answer:

Hence the value for the mean is 80 and the standard deviation for the original sample is 8.

Step-by-step explanation:

Mean = 83-3 = 80.

Here the standard deviation didn't change = 8.

5 0

3 years ago

Find the volume of each ball. use the formula. where v is the volume and r is the radius. record the volume in table A of your s

pochemuha

Answer:

The volume of tennis ball = 38.808 $cm^{3}$ .

Volume of golf ball = 33.523 $cm^{3}$ .

Step-by-step explanation:

Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .

To find: Volume of tennis ball and golf ball .

Formula used: Volume = $\frac{4 π r^{3} }{3}$ .

pi(π) = $\frac{22}{7}$ .

Explanation : We are given that

Radius of the tennis ball = 2.1 cm

radius of the golf ball =2.0 cm.

We need to find the volume of each ball

So , plugging the given values of radius in above formula

Volume of the tennis = $\frac{4*22(2.1)^{3} }{3*7}$

On simplification we get, volume of tennis ball = 38.808 $cm^{3}$

Volume of the golf ball= $\frac{4*22(2.0)^{3} }{3*7}$

On simplification we get, volume of golf ball = 33.523 $cm^{3}$

Therefore , The volume of tennis ball = 38.808 $cm^{3}$ .

Volume of golf ball = 33.523 $cm^{3}$ .

7 0

3 years ago

Read 2 more answers

I am confused about how to do this problem and I don't think it should be hard, but I just don't know how to approach it, so if

solniwko [45]

Answer:

a) (0.555, 0) and (6, 0)

b) r = -3 and r = 1.8

c) (0.875, 0.676)

d) (0, 1.235)

Step-by-step explanation:

Set each term in the numerator and denominator equal to 0 and find r.

In the numerator:

r = 7/8, 5/9, or 6

In the denominator:

r = 9/5, 7/8, or -3

Zeros in the numerator that aren't in the denominator are r-intercepts.

Zeros in the denominator that aren't in the numerator are vertical asymptotes.

Zeros in both the numerator and the denominator are holes.

a) (0.555, 0) and (6, 0)

b) r = -3 and r = 1.8

c) Evaluate m(r) at r = 7/8. To do that, first divide out the common term (-8r + 7) from the numerator and denominator.

m(r) = (-9r+5)² (r−6)² / ( (-5r+9)² (r+3)² )

m(⅞) = (-9×⅞+5)² (⅞−6)² / ( (-5×⅞+9)² (⅞+3)² )

m(⅞) = (-23/8)² (-41/8)² / ( (37/8)² (31/8)² )

m(⅞) = (-23)² (-41)² / ( (37)² (31)² )

m(⅞) = 0.676

The hole is at (0.875, 0.676).

d) Evaluate m(r) at r = 0.

m(0) = (-9×0+5)² (0−6)² / ( (-5×0+9)² (0+3)² )

m(0) = (5)² (-6)² / ( (9)² (3)² )

m(0) = 1.235

The m(r)-intercept is (0, 1.235).

5 0

3 years ago

Jeff was already 7 miles out of town when his sister

Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

$x_j(t) = 7 + 2.5 t$

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

$x_s(t) = 6t$

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

$x_j(t) = x_s(t)\\7+2.5t=6t$

And solving for t,

$7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h$

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

5 0

3 years ago