Simplify the expression 3y + 7 + 4y + 3.

Answer: 16 years

Step-by-step explanation:

Let's Bo's age be represented by x.

Since Bo' sister Anna is 3/4 his age minus 1 year and she is 11 years old, this can be formed into an equation as:

(3/4 × x) - 1 = 11

3/4x - 1 = 11

3/4x = 11 + 1

3/4x = 12

Multiply both side by 4/3

x = 12 × 4/3

x = 16

Bo's age is 16 years

Answer:

x = 12 × 4/3

Step-by-step explanation:

Answer:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].

Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]

So after 6 years the number of students in both high schools would be the same.

Answer:

AB = 4.62    m∠A =  22°   m∠B = 68°

Step-by-step explanation:

Tan A = 1.7/4.3 = .39534...

m∠A = arctan .39534... ≅ 22°

m∠B = 90 - 22 = 68°

AB = [tex]\sqrt{1.7^{2} + 4.3^{2} } = \sqrt{2.89 + 18.49} = \sqrt{21.38} = 4.62[/tex]

Answer:

7 food orders in 21 minutes

Step-by-step explanation:

Well lets see. 15 food orders in 45 minutes. So, she can make 1 food order in 3 minutes. So times 7, she can make 7 food orders in 21 minutes.

Answer:

2nd one

Step-by-step explanation:

Answer:

5y=45 if y=9

Step-by-step explanation:

5y=45 if y=9

5(9)=45

45=45

Correct Answer:

[tex]x^2 + 7x + 12[/tex]

Step-by-step explanation:

The error that was made, is that they accidentally added 3 and 4 together, during the distribution, when they should have multiplied it, leaving them with 7 instead of 12.

Answer:

Virtically

Step-by-step explanation:The lines below are vertically

Answer:

7 1/5                 

Explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

7.2=7.2/1

Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10^1 = 10

7.2/1×10/10=72/10

Find the Greatest Common Factor (GCF) of 72 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

7/2÷2/10÷2=36/5

Simplify the improper fraction,

=7 1/5

In conclusion,

−7.2=−7 1/5

Hope it helped. :)

Answer:

d

Step-by-step explanation:

-4+5n=18+3n

step 1 add 4 to each side

5n=22+3n

step 2 subtract each side by 3n

2n=22

step 3 divide each side by 2

n=11

Answer:

5 (-9x)

Step-by-step explanation:

Product of 5

5 * ()

difference of 9

5 * (-9)

and a number

5 * (-9x)

Answer:

5(9 - x)

Step-by-step explanation:

The product of 2 numbers, is just multiplication

But in this expression, we are multiplying a number by the difference of two other numbers, hence why we should group 9 - x in parentheses.

Answer:

0.88 (I think this is how Mrs. Futch wants it to be written)

Step-by-step explanation:

h=-16t^2+14t

(Substitute h with 0)

0=-16t^2+14t

(Factor)

0=2t(-8t+7)

2t=0               -8t+7=0

t=0                  t=0.88

{0, 0.88}

(John Komperda)

Answer:

x=1

Step-by-step explanation:

You need to add the Numbers with an x together as if they were racist on each side so you'd have

4x+2 = x+5

Then to move them to either side you must do the opposite symbol of what they are so if their positive their now negative

4x-x=-2+5

then add them together

3x= 3

then divide the normal number with the number with the x

x=1

For the next problem you Multiply thr number that are in the paranthases by the number on the outside so

6-x-3 = 4(x-2)

6-x-3= 4x-8

then copy the steps that I told you from last problem

-9-x=4x-8

then

-9+8=x+4x

thenn

-1=5x

divide

0.2-=X

Answer:

175 (daniel)

455 (rose)

Step-by-step explanation:

Daniel : Rose : Total

5         : 13      : 18

18 units --> 630

1u --> 35

5u --> 175 (daniel)

13u --> 455 (rose)

Answer:

I think the answer is 24 minutes!

Step-by-step explanation:

I hope this helps!

Answer:6+89

Step-by-step explanation:439+3947+v=90

Answer:

1.24

Step-by-step explanation:

Answer:

1.24330900243

Step-by-step explanation:

I did the whole equation on paper

Answer:

-2.34

Step-by-step explanation:

It is further away from 0

-2.34  is less because its further from 0 than -2.2

Answer:

To cross multiply, multiply the numerator from one side with the denominator of the other side and put that product on one side of the equation. Do the same with the other numerator/denominator and put that on the other side. From there, solve for the unknown part.

So your ratio might look like this:

4/6=x/12

6x=12(4)

6x=48

x=8

So in this case 4/6 would equal 8/12.

HTH :)

Answer:

4

Step-by-step explanation:

Answer: 2,304 square inches

Step-by-step explanation:

if there are 36 total tiles on the table, that means there are 6 on each side.

If each side meaures 8, then one side of the table is 48, and since the tikes are square, the other side of the table will be the same. 48 x 48=2,304

Step-by-step explanation:

The first important details are given at the start, where the beginning amount of snow is 12 inches. This is a positive number.

Then, the next sentences tell us that the snow melts at a pace of 2 inches for an x number of days.

This can be represented by -2x because the word "melts" indicates a negative value.

From this, the equation can be made :)

Answer: 7.26

Step-by-step explanation:

calculator

Answer:

5%

Step-by-step explanation:

3.15/3= 1.05

So, it rose by 0.05x which is equal to 5%

Answer:

64

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Answer:

880 ft/sec

Step-by-step explanation: