a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b

The centroid of a triangle divides the median of the triangle into 1 : 2

The measure of FQ is 18, while the measure of TQ is 6

Because point T is the centroid, then we have the following ratio

[tex]\mathbf{TQ : FT =1 : 2}[/tex]

Where FT = 12.

Substitute 12 for FT in the above ratio

[tex]\mathbf{TQ : 12 =1 : 2}[/tex]

Express as fraction

[tex]\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}[/tex]

Multiply both sides by 12

[tex]\mathbf{TQ =\frac{1 }{ 2} \times 12}[/tex]

This gives

[tex]\mathbf{TQ =\frac{1 2}{ 2}}[/tex]

Divide 12 by 2

[tex]\mathbf{TQ =6}[/tex]

The measure of FQ is calculated using:

[tex]\mathbf{FQ = FT + TQ}[/tex]

Substitute 12 for FT, and 6 for TQ

[tex]\mathbf{FQ = 12 + 6}[/tex]

Add 12 and 6

[tex]\mathbf{FQ = 18}[/tex]

Hence, the measure of FQ is 18, while the measure of TQ is 6

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Answer:

7.5 hours

Step-by-step explanation:

y=mx+b, where y is cost and x is hours.

175 = 20x + 25

150 = 20x

7.5 = x

He worked 7.5 hours

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

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Answer:

32.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)

Answer:

False

Step-by-step explanation:

Angle S is 6.75

Angle R is 6.8

Angle Q is 10.54

As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.

Answer:

Second Table:

1 | 0

3 | -2

Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit

Step-by-step explanation:

Answer: 600

Step-by-step explanation:

Hope this helps!

Answer:

on the way there she was going at 25 km/hr

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

r = 12

s = -4

t = -6

Equation

rs ÷ 16

12(-4) ÷ 16

-48 ÷ 16

-3

The value of the expression rs ÷ 16 at r = 12,  s = -4, and t = -6 will be negative 3.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ rs ÷ 16

The value of the expression at r = 12,  s = -4, and t = -6 will be given as,

⇒ [12 × (-4)] ÷ 16

Simplify the expression, then we have

⇒ [12 × (-4)] ÷ 16

⇒ - 48 / 16

⇒ - 3

The worth of the articulation rs ÷ 16 at r = 12, s = - 4, and t = - 6 will be negative 3.

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Answer:

f(2r) 6r - 5

Step-by-step explanation:

Substitute x = 2r into f(x) , that is

f(2r) = 3(2r) - 5 = 6r - 5

Answer:

y = 4/3x + 4

Step-by-step explanation:

-4 - 8 / -6 - 3

-12 / -9

4/3 is slope

y = 4/3 x + b so we need to find b

Put one of the points in for y and x.

-4 = 4/3 (-6) + b

-4 = -8 + b

4 = b

y = 4/3x + 4

Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.

g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.

Answer: 2 4 3

Step-by-step explanation:

Answer:

8.175$

Step-by-step explanation:

If we do 23+25+(3.25)×2

The sum of all the bought

It will equal to 54.5

So if we do as the waiter planned

We must to 54.5×15%=8.175$

1 = Given

2 = Addition Property of Equality

3 = Division Property of Equality

Answer:

Angle J is congruent to Angle G

Answer:

1.25

Step-by-step explanation:

125/100 = 1.25

Answer:

it's 1.25

Step-by-step explanation:

125 ÷100 = 1.25

Answer

the area is 26 cm

Step-by-step explanation:

for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2

for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12

for box A  it is 3 by 4 so that would be 12

you add the results together 12+12+2=26cm

The total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.

The formula for calculating the mean of numbers is expressed according to to the formula;

[tex]\overline x=\frac{\sum x}{n} \\[/tex]

n is the total sample space

[tex]\overline x[/tex] is the mean of the samples

[tex]\sum x[/tex] is the sum of the variables

If the mean number of tickets sold by five drama club members was 16, then;

[tex]16=\frac{\sum x}5}\\\sum x = 16 \times 5\\\sum x_1 = 80[/tex]

If she took ten random samples from the entire drama club of 75 students with a mean number of 22.5, hence;

[tex]\sum x_2 = 75[/tex]

Since the total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.

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Answer:

m+1/4=2/3

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

i think is this the answer

5×-4=-20

-20+2=18

Answer:

The answer is steeper.

I'm not sure about the slope thingy. But the line looks Steeper instead of flatter

Step-by-step explanation:

1.

$4 for 8 days. that means $4 on each and every day, 8 times.

so, in total that is 4 × 8 = $32

that is how multiplications work.

m×n means that m is added n times (or vice versa and n is added m times).

2.

similar here.

$25 each time the customer missed a payment. and he missed 4 times that year.

the bank returned the fees for all 4 occasions. so,

returned money = 25 × 4 = $100

Answer:

NP (Not possible)

Step-by-step explanation:

When you find 'X', by inserting '6x-3' into the 'Y', you get:

18x - 3(6x-3) = 9

distribute:

18x -18x + 9 = 9

Subtract 9 from 9 = 0

Add like numbers (the x's), and it equals 0

0=0

You can't find x, rendering the equation 'NP'

Hopefully this answer is right and an option :)

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

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Answer:1. The coordinates of Jo’s house are (-4,-2).

Step-by-step explanation:

1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).

Hope this helps.

Answer:

b

Step-by-step explanation:

joshua times 3 is basically derrick's amount

so 3j = d