5. Jermaine is thinking about attending college. However, he knows he
could get a job right out of high school making about $18,000 a year.
He could also work part time while attending 4 years of college and
make $7,000 a year. Assuming grants will pay for his college, how
long will it take Jermaine to recover his lost wages by choosing to go
to college instead of working full time after high school? He will make
$40,000 a year with his degree.

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

Answer:

[tex]3 \frac{3}{4}\\[/tex]  /  3.75

Step-by-step explanation:

Step 1: Make all the mixed numbers, improper fractions:

[tex]5 \frac{1}{3} = \frac{16}{3}[/tex]

[tex]7\frac{5}{6} = \frac{47}{6}[/tex]

[tex]6\frac{1}{4} =\frac{25}{4}[/tex]

In order to add/subtract fractions, they must all have a common denominator, the smallest common denominator for all these fractions is 12. And so in order to make 12 the denominator, we must now multiply all the fractions by their multiple.

[tex]\frac{16}{3} = \frac{64}{12}[/tex]

[tex]\frac{47}{6} = \frac{94}{12}[/tex]

[tex]\frac{25}{4} = \frac{75}{12}[/tex]

Time to solve:

[tex]\frac{64}{12} -\frac{94}{12} + \frac{75}{12} =[/tex]

[tex]\frac{-30}{12} + \frac{75}{12} =[/tex]

[tex]\frac{45}{12}[/tex]

Simplify:

[tex]\frac{45}{12} = \frac{15}{4}[/tex]

Convert to a mixed number:

[tex]3 \frac{3}{4}[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

Answer:

A. 12.21

Step-by-step explanation:

Define and explain:

This a right triangle, so the Pythagorean Theorem applies. The Pythagorean Theorem states that the sum of the squared legs is equal to the squared hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side.

Formula:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-legs[/tex]

Here, I am solving for the hypotenuse.

[tex]7^2+10^2=c^2[/tex]

[tex]49+100=c^2[/tex]

[tex]149=c^2[/tex]

The last step is to find the square root of 149.

The square root of 149 is irrational, of course, so I must round the square root to the nearest hundredth.

[tex]12.2065556157[/tex] ≈ [tex]12.21.[/tex]

[tex]12.21=c[/tex]

Conclude:

I, therefore, believe the length of the hypotenuse is 12.21.

Answer:

The theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

Step-by-step explanation:

Rate of senior tickets to adult tickets:

Can also be interpreted as the percentage of senior tickets, out of the number of total tickets, which is the number of senior tickets multiplied by 100% and divided by the number of total tickets.

The first night, 19 Senior tickets and 57 Adult tickets were sold.

19 out of 19 + 57 = 76. So

19*100%/76 = 25%

The second night, 20 Senior tickets and 62 Adult tickets were sold.

20 out of 20 + 62 = 82. So

20*100%/82 = 24.39%

25% > 24.39%, so the theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

Answer: 3 I think

Step-by-step explanation:

Answer:

[tex](f+g)(x) = 5x^2 -5x - 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 + 3x^2 -7x + 2 = 5x^2 -7x + 2\\\\g(x) = 2x - 5\\\\(f + g)(x) = f(x) + g(x) \\[/tex]

              [tex]= (5x^2 - 7x + 2 ) + ( 2x - 5)\\\\= 5x^2 - 7x + 2x + 2 - 5\\\\= 5x^2 -5x - 3[/tex]

Answer:

when n = 2; m = 2 [tex]\frac{4}{5}[/tex]

when m=5;   n = [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

2n - 5m + 10 = 0

             -10     -10

2n - 5m = -10

2(2) - 5m = -10

 4 - 5m = -10

 -4            -4

      -5m = -14

        -5       -5

           m = 2 [tex]\frac{4}{5}[/tex]

2n - 5(5) = -10

2n - 25 = -10

    +25     +25

2n = 15

2        2

   n = [tex]7\frac{1}{2}[/tex]

Answer:

Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.

Step-by-step explanation:

Since Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda, if cranberry juice costs $ 3.60 per bottle and lemon-lime soda costs $ 1.40 per bottle and the recipe calls for 2 times as many bottles of lemon-lime soda as cranberry juice, to determine at most how many bottles of cranberry juice can he buy if he only has $ 38.40 the following calculation must be performed:

20 x 1.40 + 10 x 3.60 = 64

10 x 1.40 + 5 x 3.60 = 32

12 x 1.40 + 6 x 3.60 = 38.40

Therefore, Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.

Answer:

[tex]x =9[/tex] --- the critical point

Step-by-step explanation:

Given

[tex]f(x) =36x -2x^2[/tex]

Required

Determine the critical numbers

First, we differentiate f(x)

[tex]f'(x) = 36 - 4x[/tex]

Set to 0 and solve for x

[tex]36 -4x = 0[/tex]

Make 4x the subject

[tex]4x = 36[/tex]

Solve for x

[tex]x =36/4[/tex]

[tex]x =9[/tex]

Answer:

X =9.75

correct me y'all if am wrong ❤️

Answer:

x= 2,6427...

used computer

Answer:

$70

Step-by-step explanation:

What we know:

⇒ He must pay 15 dollars a day

⇒ He needs to pay an additional 5 cent for every mile he drives

⇒ He drives 50 miles for 3 days

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Since he pays $15 a day and he is driving this car for 3 days, we have to multiply 15 by 3.

15*3=45

He drove 50 miles and each mile is 5 cents so we have to multiply those as well.

50*.5=25

Now we add both the sums togather~

25+45= $70

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞The amount he has to spend for his car rental is $275.

Answer:

Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture

A . Perfect square

Step-by-step explanation:

This is your answer

Hope this helps you :)

Answer: B- Perfect cube

Step-by-step explanation: I am smort

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

2000 ; 6000 ; 3000

Step-by-step explanation:

Given:

Total lottery winning = £11,000

Let :

Zazoo's share = x

Yi's share = 3x

Xavier's share = 3/2x

Total share = (x + 3x + 3/2x) = 5.5x

Total winning / total share

x = £11000 / 5.5

= 2000

Zazoo's share = £2000

Yi's share (2000 * 3) = £6000

Xavier's share = 3/2 * 2000 = £3000

Given:

The inequality is:

[tex]5x-y>-3[/tex]

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

[tex]5x-y>-3[/tex]

The related equation for this inequality is:

[tex]5x-y=-3[/tex]

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

[tex]5(0)-(0)>-3[/tex]

[tex]0>-3[/tex]

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%

Answer:

Chris=24

Jane=32

Shen=96

Step-by-step explanation:

Chris= x

Jane = x + 8

Shen = 4x

6x+8= 152

152-8=144

6x=144

144/6=24

x=24

Answer:

Its C. When you are getting ratios, we need to convert the units too...

The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

We have to given that;

The ratio is,

⇒ 5cm:5m:0.02km

Now, We can simplify the ratio as;

⇒ 5 cm : 5 m : 0.02 km

⇒ 5 cm : 5 x 100 cm : 0.02 x 100000

⇒ 5 cm : 500 cm : 2000 cm

⇒ 1 : 100 : 400

Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

Answer:

A) 80,164

B) S_n = (n/2)(17 + n)

Step-by-step explanation:

A) Formula for the nth term of an arithmetic progression series is;

a_n = a + (n - 1)d

a is first term of the series and in this case it is 9.

Difference is d which is 1 since they are consecutive integers.

Thus, For the last term which is 400, we have;

400 = 9 + (n - 1)1

400 - 9 = n - 1

391 = n - 1

n = 391 + 1

n = 392

Thus,there 392 terms in this sequence.

Formula for sum of an AP is;

S_n = (n/2)(2a + (n - 1)d)

S_392 = (392/2)((2 × 9) + (392 - 1)1)

S_392 = 80,164

B) The last term here is k, so we can't know exactly how many terms are in this sequence. Thus, let the number of terms be n.

Now, as above,

a = 9

d = 1

Sum of this AP sequence is;

S_n = (n/2)((2 × 9) + (n - 1)1)

S_n = (n/2)(18 + n - 1)

S_n = (n/2)(17 + n)

Answer:

the numbers that right of the origin on the x axis are positive numbers

Answer:

positive

Step-by-step explanation:

positive runs on the right of x -axis

negative runs on the left of the x-axis

prime and odd will never be running on either side of x-axis

hope it helps!!!!!!

Answer:

7

Step-by-step explanation:

3 combos

2 tacos

1 drink

3 combos × 2 taco = 6

6 is for the combos and tacos.

6 + 1 drink = 7

they have 7 altogether

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

Additional comment

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

Answer:

Step-by-step explanation:

102 + 102 + 24x + 24x - 18 - 18 = 360

204 + 48x - 36 = 360

204 + 48x = 360 + 36

204 + 48x = 396

48x = 396 - 204

48x = 192

x = 192/48

x = 4

Answer:

x = 4. . . .. . . . ... . . . .

. .. . . .. . .

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces