Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.

Answers

Answer 1

Answer:

it's simple it means

2×b-8=5

Answer 2

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5


Related Questions

pls help!!!!

Sandra uses 6.39 ounces of beans in a recipe. If she triples the recipe, how many ounces of beans will Sandra need?​

Answers

Answer:

19.17 ounces

Step-by-step explanation:

If she uses 6.39 ounces for 1 recipe and she wants to "triple" the recipe we then know that triple also means 3 times.

Due to that fact we now know what our equation is:

6.39 x 3  which equals 19.17

I hope this helps have great day :)

Answer: 19.17

Step-by-step explanation:  6.39 x 3 = 19.17

13- pls help with this pre-algebra problem is urgent

Answers

Answer:

What else is in the equation?

Step-by-step explanation:

Also, i think the - should be right here>-13 instead of it being here 13-<

Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?

Answers

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57

Hope this helps!

Answer:

57 seconds

Step-by-step explanation:

Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.

simplify.
remove all perfect squares from inside the square roots. assume x and y are positive.
√8x^3y^2

Answers

Answer:

[tex]2xy\sqrt{2x}[/tex]

Step-by-step explanation:

Because this is a whole term in itself (no addition or subtraction), you can just directly find squares and factor them out. First, when looking at 8, you can factor out 4, to get 2 on the outside. Then, while looking at x cubed, you can factor out x squared, to get x on the outside, and when looking at y squared, you can just pull that outside itself, to get y. Now, we have one 2 and one x remaining, for a total of [tex]2xy\sqrt{2x}[/tex]

Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?

Answers

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2​

Answers

When you divide same numbers with exponents you would subtract the exponent: a^2/a^1 = a^(2-1) = a

Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8

Solution: C

6. (4. 1) and (1, 4) are on the line

Answers

Answer: This is used by

Step-by-step explanation:

make y the subject of the formula
x=13(t-4y) over y

Answers

Answer:

make y the subject of the formula

x=13(t-4y)

Step-by-step explanation:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

The subject of the formula for y is y = 13t / x(1 + 52/x).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given the equation as:

x = 13(t - 4y) / y

We have to make y the subject of the formula

x = 13(t - 4y) / y

Cross multiplication to get,

y = 13(t - 4y) / x

y = (13t - 52y) / x

y = 13t / x - 52y / x

Now group the y terms together and we get

y + 52y / x = 13t / x

The factor out the y to get

y(1 + 52/x) = 13t / x

y = 13t / x(1 + 52/x)

Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

Using substitution, which value of x makes this equation true?

3+x = 10

A. 13
B. 7
C. -7
D. -13

Answers

Answer:

The answer is B. 7

Step-by-step explanation:

3 + x = 10

3 + 7 = 10

B.

x=7.

Step by step:

x+3=10.

x=7.

(I subtracted 3 on both sides)

Hope this helped!! :)

Urgent! Someone please answer! Will give Brainliest!


4 cm

x cm

The area of rectangle ABCD is 28 cm2

B

B

a) What is the length of side AB in terms of x?

6 cm

length of AB =

(1)

x cm

D

с

b) If the area of rectangle ABCD is 28 cm,

we can show that x2 + ax = b where

a and b are integer values.

Work out the values of a and b.

b

a =

(1)

b=

(1)

Total marks: 3

Answers

Step-by-step explanation:

it is the most easiest answer we get 566474 I think this will help you

Help me please!! :) :)

Answers

THE SECOND AND THIRD ANSWERS

Please help and no links!!!!

Answers

Answer: 18

Step-by-step explanation:

Someone plz help me :(

Answers

Answer:

A

Step-by-step explanation:

the ratio shows that for every two songs beth's mom has, beth has one more.

*3 is larger than 2 by 1

meaning, if her mom has 6 songs, then she will have 7

if Beth has 12 songs, her mom would have one less, 11

Why is math hard????

Answers

Answer:

It doesnt have to be, you are making it. It's really just addition multiplication divison and subtraction in different ways

Step-by-step explanation:

Answer:

BECAUES IT IS

Step-by-step explanation:

I don´t know

some one please help

Answers

Answer:

i can't see the photo

Step-by-step explanation:

pleas send it again

Answer:

Step-by-step explanation:

f(x) = 3-x/5

 

Explanation:

The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation

y=3x -5

turns into

x = 3y+5

Then solve the equation for y

x=3 y- 5

x+5 = 3y

the divide all by three

1/3x + 5/3 =y

f ( x ) − 1 = 3/1 x + 5/3

Describe the steps you used to solve the equation and find the amount of Carrie’s allowance.

Linear equation:
1/4a+ 1/3 a + 8 = 22

Answers

Multiply each of the fractions by 1 to get them to have the same denominator.
1/4 x 3/3 = 3/12
1/3 x 4/4 = 4/12
New Equation:
3/12a + 4/12a + 8 = 22
now add up similar terms
7/12a + 8 = 22
subtract 8
7/12a = 14
multiply each side by your denominator
12(7/12)a=12(14)
7a=168
divide by 7
a = 24

Help me pls i need help

Answers

Answer:

I'm pretty sure it is LINEAR.

I may be wrong

Step-by-step explanation:

BRAINLIEST?

Answer:

linear

Step-by-step explanation:

the inputs are not the same.

im not exactly sure, but im taking this lesson and thats what i learned :)

100 POINTS IF U GET THIS RIGHT!

Answers

Answer:

The y-intercept is 4.

Step-by-step explanation:

Our equation: y = mx + b

m = slope

b = y-intercept

=> Now, let's compare:

=> y = mx + b = y = -7x + 4

We can tell that b = 4

Hoped this helped.

[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]

pls help asap! i will mark brainliest!

Answers

Answer:

3

Step-by-step explanation:

2 x 7= 14 - 17= 3

Sophie liked 35 of the 50 different flavors of Jelly Beans. Enter the percent of the Jelly Bean flavors she did not like.

Answers

70% would be the answer

3w-4z=8
2w+3z= -6
What is w and z for these two equations?

Answers

The w is 0 and z is -2.


Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.

Answers

Answer:

7/21=3/9

Step-by-step explanation:

7/21=3/9=1/3 - Ratios are basically the same as fractions

Answer:

[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]

[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]

Divide $80 among three people so that the second will have twice as much as
the first, and the third will have $5 less than the second. Using an algebraic
equation, find the amount that each will get.

Answers

Answer: 19,38, and 33.

Step-by-step explanation:

80=2x+x+2x-5=5x=95=x=19

please help and show work

Answers

Answer:

Just do scan and solve by brainly really helpful ngl

Step-by-step explanation:

Slove system of equation.

2x - 6y = 8
-3x + 9y = 12

Answers

answers:

2x - 6y = 8 -> x = 4 + 3y

-3x + 9y = 12 -> x = -4 + 3y

3х — бу - z = 3
4х +4y +z= — 1
X-2y – z = -1

Answers

Answer:

[tex]3x - 6y - x + 3 = =[/tex]

Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?

Answers

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

i don’t understand can I have help please

Answers

Answer:

(y + 1)³

Step-by-step explanation:

Answer:

y^3+3y^2+3y+1

Step-by-step explanation:

Factor the numerator and denominator to cancel the common factors.

(Whenever ^ is in the answer, it means that the number to the right of it is the exponent)

If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?

Answers

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

The side of the Australia flag are in a ratio of 1.2.if the flag is 5 feet long what is its height?

Answers

2.5 maybe sorry if i wrong
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