Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?

Answer:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

So one side is 5

Other side is 2

Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: [tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15[/tex]

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

Answer:

The solution x > 10 can be represented in two ways such as:

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Answer:

The batch of jam from this summer

Step-by-step explanation:

Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden.

For last summer

Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam.

Hence,

5 cup of pears = 3 cups of cranberries

1 cup of pears = x

Cross Multiply

5x = 3

x = 3/5

x = 0.6

1 cup of pears = 0.6 cup of cranberries

For this summer

This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears.

Hence,

8 cup of pears = 5 cups of cranberries

1 cup of pears = x

Cross Multiply

8x = 5

x = 5/8

x = 0.625

1 cup of pears = 0.625 cup of cranberries

From the above calculation we can see that the quantity of cranberries to 1 cup of pears from this summer is higher than that of last summer

Therefore, the batch of jam that tasted more like cranberries is the batch of jam from this summer

Answer:

This summer’s batch jam tasted more like cranberries.

Step-by-step explanation:

IXL

Answer:

A scale factor of 4in to 5in should be used

Step-by-step explanation:

Given

[tex]Original\ Measurement = 4.5\ in[/tex]

[tex]Scale\ Measurement = 3.6\ in[/tex]

Required

Determine the scale to use

The scale to use can be represented as:

[tex]Scale = Scale\ Measurement : Original\ Measurement[/tex]

This gives:

[tex]Scale = 3.6\ in : 4.5\ in[/tex]

Divide by 0.9

[tex]Scale = \frac{3.6}{0.9}\ in : \frac{4.5}{0..9}\ in[/tex]

[tex]Scale = \frac{3.6}{0.9} : \frac{4.5}{0.9}[/tex]

[tex]Scale = 4 : 5[/tex]

Answer:

A.-2x2+-1

Step-by-step explanation:

(-7x+5)-(2x2-8x+6)

-7x+5-2x2+8x-6 then collect like terms

-2x2-7x+8x+5-6

-2x2-x+1

If it's helpful ❤❤❤

THANK YOU

Expression is a set of numbers, variables, and mathematical operations. The standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As the expression is given to us (-7x + 5) - (2x² – 8x + 6), in order to simplify the problem we need to open the brackets. therefore, the expression can be solved as,

[tex](-7x + 5) - (2x^2 - 8x + 6)\\\\= -7x + 5 - 2x^2 + 8x - 6\\\\ = -2x^2+8x-7x-6+5\\\\=-2x^2 + x - 1[/tex]

Hence, the standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

Answer:

let number be n

by question

(5n+3)=(n-9)

5n-n=-9-3

4n=-12

n=-12/4=-3

required no. is -3.

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

Answer: This statement represents  →A Division prolem

The correct equation is →8=n÷5                                                                

                  I Hop This Helped :)

Step-by-step explanation:

Answer:

Write an equation to model the problem containing an unknown number.

                                             Eight is the quotient of a number and five.

This statement represents:

✔ a division problem

.

The correct equation is:

✔ 8 = n ÷ 5

Correct on Edge nuity 2021

Answer:

Step-by-step explanation:

the volume of the cone=1/3 * 3.14*h*r^2= aprox 226 cubic inches

choice 3

Answer:

C

Step-by-step explanation:

I hope this helps you :)

Answer:

ans below

Step-by-step explanation:

-5(d+6)

Answer:

-5(d-6)

Step-by-step explanation:

When factorising, you need to factorise from all the terms.

Factorising -5 from:

-5d: -5d ÷ -5 = d

30: 30 ÷ -5 = -6

Thus, the answer is -5(d-6)

Answer: A student who owns a cell phone is more likely to have brought a personal device than not to have brought one.

Step-by-step explanation:

Answer:

Arianna should receive $3.05 in change.

Step-by-step explanation:

In order to find the answer, you have to find the cost of the three balls by multiplying the cost per ball for the number of balls and then, you have to subtract this amount from five to find the change Arianna should receive:

$0.65*3=$1.95

$5-$1.95=$3.05

According to this, the answer is that Arianna should receive $3.05 in change.

Answer:

5 x 5 per face x 18 faces = 450 cm

Step-by-step explanation:

try practicing with different examples

Answer:

10

Step-by-step explanation:

Answer:

Its 0

Step-by-step explanation:ur not smart if u dont know that

Answer:

slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!

Answer:

6040

Step-by-step explanation:

You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)

Answer:

hmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

hmmmmmmmmmmmmmmmmmmmmm

Answer:

Same back to you

Step-by-step explanation:

I hope you smile today and don't let corona stop you from anything

Answer: thank you

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

180/12=15

Answer:

5. [tex]y=\frac{1}{3}x-3[/tex]

6. [tex]y=\frac{1}{4}x+4[/tex]

7. [tex]y=-5[/tex]

8. [tex]y=x+5[/tex]

9. [tex]y=\frac{-1}{2}x+6[/tex]

10.[tex]y=-4x+2[/tex]

Step-by-step explanation:

5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]

6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]

[tex]y = \frac{1}{4} x+b[/tex]

[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]

7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]

[tex]y=-5[/tex]

8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]

[tex]y=x+b\\7=2+b\\b=5[/tex]

9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]

[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]

10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]

[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]

Answer:

Because the teacher told him  to take a seat.

Answer:

Lol. Because the teacher told him to take a seat.

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)