Jonathon borrowed $700 from his grandparents to start a lawn mowing business in his neighborhood. After
mowing lawns for a month and paying his expenses, he was able to pay them $177.34. How much does
Jonathon still owe his grandparents?

Answer:

Volume of the prism: 120cm^3

Step-by-step explanation:

volume of a prism = area of cross-section x length

so

volume of triangular prism = 4 (h) x 6 (b) divided by 2 x 10 (length)

6 x 4 = 24

24 / 2 = 12

12 x 10 = 120

Hope this helped!

- profparis

Answer:

see explanation

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

21 ÷ 7 = 63 ÷ 21 = 3

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ration

here a₁ = 7 and r = 3 , then

[tex]a_{n}[/tex] = 7 . [tex]3^{n-1}[/tex] ← explicit formula

the recursive formula allows a term to be found by multiplying the previous term by r , then

[tex]a_{n}[/tex] = 7 . [tex]a_{n-1}[/tex] ← recursive formula

2/3 + (-1/3) = 2/3 - 1/3 = 1/3

Answer:

0.7333

Step-by-step explanation:

2021 Math

Proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

It's a way to measure how far each data point is spread from the average value.

let x represents the diameters of cherry tomatoes produced by large farm which is formally distributed with mean = 22m

and, standard deviation= 2.5 mm

Now, proportion of tomatoes have diameter between 20 and 26 mm

=P (20 < x< 26)

=P(20-22 / 2.5 < [tex]x- \mu/ \sigma[/tex] < 26- 22/2.5)

=P(-0.8 < z < 1.6)

=P(z = 1.6) - P(z=-0.8)

=0.9452 - 0.2119

==0.7333

Hence, proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

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Answer:

76

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

Given

3x² - 10x = - 2 ( add 2 to both sides )

3x² - 10x + 2 = 0 ← in standard form

with a = 3, b = - 10, c = 2 , then

b² - 4ac = (- 10)² - (4 × 3 × 2 ) = 100 - 24 = 76

Answer:

D

Step-by-step explanation:

Median: 18

Minimum: 16

Maximum: 23

First quartile: 16

Third quartile: 19.5

Interquartile Range: 3.5

Answer:

1 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{47}{8} - (\frac{7}{2} + \frac{5}{4} )[/tex]

[tex]\frac{47}{8} -\frac{19}{4}[/tex]

= [tex]\frac{9}{8}[/tex]

= [tex]1\frac{1}{8}[/tex]

Answer provided by Education Point

Answer:

4(7 + 6)

Step-by-step explanation:

The GCF (greatest common factor) is the largest factor that both numbers share, and in this case it is 4.

28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

A number system is defined as a system of writing to express numbers.

We need to write  28 + 24 as a product of 2 factors using the GCF and the distributive property.

A factor is a number that divides another number, leaving no remainder

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We need to find factors 28 and 24

28=1,2,4,7,14,28

24=1,2,3,4,6,8,12,24

4 is the greatest common factor.

28 + 24

Take 4 as common

4(7+6)

Hence, 28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

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Answer:

-20 meters below sea level

Step-by-step explanation:

as we know 0 is the water level, and since +20 is 20m above sea level, -20 is 20 m below sea level

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

Answer:

B

C

Step-by-step explanation:

[tex]x_{1} = \frac{5 + \sqrt{5}}{2} \\x_{2} = \frac{5 - \sqrt{5}}{2}[/tex]

please mark me as brainlest

[tex]200 \div 8 = 25 \\ 875 \div 25 = 35[/tex]

Answer:

-2

Step-by-step explanation:

-2 because that is where the line intersects on the x-axis

Answer:

1.00

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

6x+2x-6=5x-18

8x-6=5x-18

8x+12=5x

0= 3x+12

3x=-12

Divide 3 by both sides

x= -4

Answer:

option c

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

1. 7.6

2. 8

Step-by-step explanation:

for number one, add all the hours and then divide it by how many hours individually

for number two, the mode is the member which occurs the most

I hope this helps

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

Answer:

x >-2

Step-by-step explanation:

3x-10<4(x-2)

3x - 10<4x-8

grouping liked terms

3x-4x<-8+10

-x<2

divide through by coefficient of x

x > -2

Answer:

A. She set up the proportion incorrectly, the second ratio should be 2.2.

Step-by-step explanation:

Answer:

Your answer would be A

Step-by-step explanation:

Good Luck

Answer: y=-0.5x-2

Step-by-step explanation:

Answer:

Each friend will get $1.25

Step-by-step explanation:

45/36 = 1.25

Answer: 1.25

Step-by-step explanation:

Just divide $45.00 and 36

Answer:

1073741824 is your answer.....

Answer:

Step-by-step explanation:

[tex]( {4}^{3}) ^{5} \\ = {64}^{5} \\ = 1073741824[/tex]