The sum of three numbers is 76. The third number is eight less than the first. The second number is two times the third. What are the numbers?

Answers

Answer 1

Step-by-step explanation:

Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"

Answer 2

The numbers are 25, 34, and 17.

Let x be the first number, y be the second number, and z be the third number. We know that x + y + z = 76, z = x - 8, and y = 2z.

Substituting the second and third equations into the first equation, we get x + 2(x - 8) + (x - 8) = 76.

Simplifying the right side of the equation, we get 4x - 24 = 76.

Adding 24 to both sides of the equation, we get 4x = 100.

Dividing both sides of the equation by 4, we get x = 25.

Substituting x = 25 into the equation z = x - 8, we get z = 25 - 8 = 17.

Substituting x = 25 and z = 17 into the equation y = 2z, we get y = 2 * 17 = 34.

Therefore, the numbers are 25, 34, and 17.

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Related Questions

Ralph and Joe leave school walking in opposite directions. Ralph walks 1 km per hour faster than Joe. After 2 hours they are 30 km apart. What is the rate of each

Answers

Answer:

Joe's rate = 7 mph

Ralph's rate = 8 mph

Step-by-step explanation:

Give. That:

Joe's rate = x

Ralph rate = x + 1 kmph

Travel time = 2 hours

Hence, distance traveled = Speed * time

Joe's distance : 2 * x

Ralph's distance = 2 * (x + 1)

2x + 2(x + 1) = 30

2x + 2x + 2 = 30

4x + 2 = 30

4x = 30 - 2

4x = 28

x = 28/4

x = 7

Joe's rate = 7

Ralph's rate = 7 + 1 = 8

convert to standard form y=-4x-8

Answers

Answer:

[tex]4x + y = - 8[/tex]

Step-by-step explanation:

write in standard form :

[tex]ax + by = c[/tex]

Write P(x) = x^3 + x^2 − 17x + 15 as a product of two factors, using x − 3 as one factor.
A. (x − 3)(x^2 + x − 17)
B.(x − 3)(x^2 + 4x − 17)
C.(x − 3)(x^2 – 4x − 5)
D.(x − 3)(x^2 + 4x − 5)

Answers

Answer:

D. (x-3)(x^2 + 4x - 5)

Step-by-step explanation:

P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.

What is Polynomials?

Polynomials are expressions in algebra which consist of variables, constants and exponents combined using the basic operations in mathematics like addition, subtraction, multiplication and division.

Polynomials can be classified as monomials, binomials and trinomials depending on the degree of the variables as 1, 2 and 3 respectively.

The given polynomial is P(x) = x³ + x² - 17x + 15.

We already have x - 3 is the factor of this polynomial.

To get the other factor which is a binomial, we have to divide the given polynomial with x - 3.

On dividing, we get x² + 4x - 5 as the quotient and remainder equals zero.

So x² + 4x - 5 is the other factor of the given polynomial.

Hence, the polynomial P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.

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Which of these does NOT represent the number of minutes in a hour?

Answers

Answer:

the question is cut in half

This scatter plot and line of best fit show the relationship between the height and the mass of 15 different dog breeds. The circled point in the scatter plot corresponds to the Afghan Hound. What conclusion can be drawn about the predicted mass and the actual mass of the Afghan Hound?

Answers

Answer:

The mass of the Afghan Hound is exactly what is predicted by the line of best fit.

Answer:

no clue i came to recieve answers

Step-by-step explanation:

Which is equivalent to 6x-8y

Answers

Answer:

24 i guess. im not sure

-2(-3x + 4). -2 multiply -3 you get a positive 6, and -2 multiply +4 you get a negative 8

100 points please helpp

Answers

Answer:

[tex]\textsf{C.} \quad C = \$10 + \$5h[/tex]

Step-by-step explanation:

Given information:

Admission fee to the Park = $10Fee for Sledding = $5 per hour

Given variables:

C = total cost (in dollars)h = time (in hours)

The Park admission fee of $10 is independent of the fee charged per hour per sport.  Therefore, it is represented by a constant in the equation.

The fee per hour of sledding is dependent on the number of hours spent.  Therefore, it is represented by the cost of the specific sport multiplied by the given variable for time (h).

Therefore the equation that represents the cost of sledding per hour is:

C = $10 + $5h

[tex]\huge \boxed{\sf C}[/tex]

Each hour costs 5 dollars for sledding and an extra fee of 10 dollars.

[tex]\sf C = 5h + 10[/tex]

An equation contains variables and integers.

C and h are variables which means the value changes.

5 and 10 are integers.

Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?

l ≤ 12
2l + 2w 12
2l + 2w 12
l + w < 30

Answers

Answer:

a i the answer

Step-by-step explanation:

l ≤ 12

2l + 2w < 30

Answer: a

Step-by-step explanation:

grams of fish
number of calories
1000
2001
Enter the missing values in the boxes below.
b=0

Answers

Answer:

‍♂️ but if you know please answer

Answer:

12344567891011121314151617181920

Step-by-step explanation:

12344567891011121314151617181920

find the slope of the line graphed below

Answers

Answer:

To find the slope of a line, we need to know the slope formula. The slope formula is:

m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:

=

==

=-1.5

That means the slope of our line is -1.5

Step-by-step explanation:

PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS

Answers

Answer:

Step-by-step explanation:

1)  phone

38.95 = 0.03 * mins + 29.95

9.00 = 0.03 * mins

9.00 /0.03 = mins

300 = mins

so he used 300 minutes  :)

2) books

8.70 =14 * bookPrice + 2.40

6.30 = 14 * bookPrice

6.30 / 14 = bookPrice

0.45 = bookPrice

each book cost 45 cents  :)

What is 3\11 converted to a decimal and rounded 3 decimal places

Answers

Answer:

0.273 (Approx)

Step-by-step explanation:

Given:

3/11

Find:

Converted to decimal (rounded 3 decimal)

Computation:

⇒ 3/11

⇒ 0.272727

0.273 (Approx)

The value of 3/11 rounded 3 decimal places will be 0.273.

Given that:

Fraction number = 3/11

The decimal number is the combination of an integer number and part of a rational number. The rational number is greater than zero but less than one.

Convert the fraction number into a decimal number. Then we have

⇒ 3/11

⇒ 0.2727

⇒ 0.273

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Equal to the opposite of -45

Answers

Answer:

45 or 1/45

Step-by-step explanation:

not sure

WHAT IS THE RIGHT ANSWER? HELP PLS!

Answers

Answer: Choice B

=============================================

Explanation:

If you graphed the equation 2x-5y = 14, you'll find it has a positive slope. It turns out the slope in this equation is 2/5, which is positive. A positive slope means the line goes uphill as you move from left to right. This means we can rule out choice because of this (since we want the line to slope downward).

Now let's turn to choice D. If we multiply both sides of the first inequality by -1, then we go from [tex]-2x-5y \le 14[/tex] to [tex]2x+5y \ge -14[/tex]. Note the inequality sign flips. This always happens when we multiply both sides by any negative number. The inequality [tex]2x+5y \ge -14[/tex] implies that the shaded region will be above the boundary line, but this contradicts the drawing which shows the shaded region is below the diagonal boundary line. We can rule out choice D because of this. Choice A can be ruled out for similar reasoning.

You should find that only choice B is left. The diagonal line is 2x+5y = 14, and we shade below this boundary line, as well as shading to the right of the y axis (to indicate all values have positive x coordinates). Values on the boundary count as solution points as well.

Centimeter using decimal
63mm

Answers

Answer:

6.3cm

Step-by-step explanation:

10mm=1cm

63mm=?cm

(cross multiply)

?=(63mm×1cm)/10mm

?=6.3cm

These two triangles are similar. If the base of △ A B C is 3 cm and the base of △ D E F is 7 cm, and the area of △ A B C is 7 cm², calculate the area of △ D E F. Round your answer to two decimal places.

Answers

Answer:

38.11 cm^2

Step-by-step explanation:

DEF is larger than ABC

therefore find the height of ABC

7 = 1/2 * 3 * h

h = 7 * 2/3

h = 14/3

So, lets find height for DEF, 7/3 = H/ 14/3

H = 98/9

A = 1/2 * 7 * 98/9

A = 38.11 cm^2

Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and nine-tenths

Answers

Answer:

the estimation of the quotient is  7

Step-by-step explanation:

The computation of estimating the quotient is shown below:

It is given that the number is 27

After that the two-third would be divided by 3

And, then the nine-tenth

Based on the above information, the estimation of the quotient is  

= 27 + 2 ÷ 3 ÷ 3 + 9 ÷ 10

= 27 + 0.67 ÷ 3 + 0.9

= 27.67 ÷ 3.9

= 28 ÷ 4

= 7

hence, the estimation of the quotient is  7

X varies directly with y. If x is 24 when y is 36, find x when y is 132.
equation:_________
x=_________

Answers

Step-by-step explanation:

x = ky, where k is a real constant.

When y = 36, x = 24.

=> (24) = k(36), k = 2/3.

Hence x = (2/3)y.

When y = 132, x = (2/3)(132) = 88.

Answer:

see explanation

Step-by-step explanation:

Given x varies directly with y then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 24 when y = 36, then

36 = 24k ( divide both sides by 24 )

1.5 = k

y = 1.5x ← equation of variation

When y = 132, then

132 = 1.5x ( divide both sides by 1.5 )

x = 88

A sweater costs $36. If the sweater is 35% off how much is the total?

Answers

The final price is $23.40
35% of 36 comes out to 12.60 :)

PLEASE HELP MEE!! I WILL GIVE BRAINLIEST TO AN ACCURATE EXPLANATION! (Look at the picture)

Answers

Answer:

6 gallons   54 fish

Step-by-step explanation:

is she has 12 gallons and in 2 minutes its gone at a steady rate then just divide 12 by 2 so 6 every minute

just 3 multiplied by 18 since hes adding 3 fish every day for 18 days so you could just do 3+3+3+3 for 18 or simpler 3x18

hope this helped

Answer: 6

Step-by-step explanation:

You are painting all four walls of a shed. Each wall is a rectangle with a length of 14 feet and a height of 8 feet. A gallon of paint covers about 350 square feet. How many gallons of paint do you need in order to cover the walls? Write your answer as a decimal.

about gallons

Answers

Answer:

1.28 gallons

Step-by-step explanation:

Multiply 14 and 8 then multiply that by 4 for each wall. Divide that number by 350 to get the number of gallons

brainliest please

which is the better value 36 pictures for $8 or 24 pictures for $5

Answers

Answer:

24 pictures for $5

Step-by-step explanation:

To find out the better value, we have to find the price of a singular picture. To do this, we will divide each number by the amount of pictures.

For the first deal, 36 pictures cost $8, so 1 picture costs about $0.22.

For the second deal, 24 pictures cost $5, so 1 picture costs about $0.21.

Since the second deal costs less, it is a better deal.

Answer:

The best deal is 24 pictures for $5.

Step-by-step explanation:

In order to find out which price is better, we need to find the amount of pictures per dollar. This is also known as the unit rate.

36 ÷ 8 = 4.5 or 5 when rounded to the nearest whole number.

24 ÷ 5 = 4.8 or 5 when rounded to the nearest whole number.

However, since 4.8 is in fact higher than 4.5, the best deal is 24 pictures for $5.

Hope this helps! :D

2
A small business collected data each month to find out if money spent on advertising
affected the total sales for the company. The table shows the data collected over
several months.
Total Sales
Money Spent on
Advertising ($)
200
250
1,500
1,505
1,600
1,650
260
300
350
1,700
450
1,825
525
1,875
What is the correlation coefficient between money spent and total sales?

Answers

Answer:

Step-by-step explanation:

3

Mr. Robles has two kinds of fruit in his basket. The ratio of apples to oranges in the basket is 3:4. If there are 9 apples, how many pieces of fruit are in his basket? O A. 21 OB. 8 O C. 38 D. 12 SUBMIT​

Answers

Answer:

The ratio of apples to oranges in the basket is 2:5.

Step-by-step explanation:

the answer is D

Step-by-step explanation:

Total fruit (apples + oranges ) = 125

only oranges = 7/25 of total fruit = (7/25)× 125

7×5= 35 (orange)

then only apples = 125 - 35 = 90

Answer:

2:5

This year, a small business had a total revenue of $89,700. If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?

Answers

Answer:

The business' total revenue last year was $65,000.

Step-by-step explanation:

So, if you need to find the previous year's total revenue, you would set up an equation like this:

    x + 0.38x = 89,700

I think it would work out something like this:

    x + 0.38x = 89,700

    1.38x = 89,700

    x = 65,000

To check, we would substitute 65,000 into the equation x + 0.38x = 89,700.

    x + 0.38x = 89,700

    (65,000) + 0.38(65,000) = 89,700

    65,000 + 24,700 = 89,700

    89,700 = 89,700

Trey wants to take a European vacation in 3 years. He estimates the cost to be $10,000.

About how much must he save monthly in an account that pays 4% interest, compounded monthly, to have enough money for the vacation?

Answers

Answer:

Monthly deposit= $262.062

Step-by-step explanation:

Giving the following information:

Future value= $10,000

Number of periods= 12*3= 36 months

Interest rate= 0.04/12= 0.0033

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (10,000*0.0033) / [(1.0033^36) - 1]

A= $262.062

Giving brainleest for brainly.

Answers

Can anyone help me with my questions

Write the equation of a line
that passes through: (0, 2) and (-1, 1)

Answers

Answer:

y = x + 2

Step-by-step explanation:

slope = Δy / Δx = (1-2) / (-1 - 0) = 1

pass (0,2): y intercept = 2    b=2

y = mx + b

equation: y = x + 2

What is the area of a square with a side of 7?

Answers

Answer:

49

Step-by-step explanation:

Formula for the area of a square is S^2

Plug 7 into the formula

7^2 = 49

Kelly’s scores for the last seven quizzes are 92,77,83,80,97,88, and 78 what is her mean quiz score

Answers

Answer:

80

Step-by-step explanation:

80 is the main score I think.....

Answer:

85

Step-by-step explanation:

Add all of the numbers to get 595

Divide it by the amount of numbers

595/7

Which equals 85

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