Rita has a sister named Gabriela who is 4 years older than she is. The product of their ages is 21. Write an equation to find their ages.

Answers

Answer 1

Step-by-step explanation:

let Rita = R

Let Gabriela = G

so we have

G ×R = 21

G= R + 4

(R+4)(R) = 21

R^2+4R -21=0


Related Questions

How many time does 217.39 go into 5000

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Are these in the same FACT FAMILY??

4 + 5 = 9

9 - 5 = 4

Answers

Answer:

yes cause they are the same #s

Step-by-step explanation:

Step-by-step explanation:

I think yes I am not sure

sorry I took your points

Mr. Fishman used to work in a warehouse in New York. He would fill up pallets of product to be shipped to retail stores around the country. He would then drive the forklift to place the heavy pallets on the industrial scale to determine the weight for the bill of lading and then he would load the pallets onto the shipping trucks. One shipment had a full pallet (10 cartons per level and 8 levels high) mixed with two different products that had the exact same size shipping carton. The different packages were clearly marked, but once they were loaded on the pallet it was almost impossible to distinguish between them. While the cartons were the same size, each carton of Product X weighed 3 pounds while each carton of Product Y weighed 5 pounds.

Required:
How many cartons of each product were on the pallet?

Answers

Complete question:

When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.

How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units

Answer:

we have 25 and 55 cartons of each product

Step-by-step explanation:

we have number of carton = 10 x 8 = 80

each level has 10, and leves are 8 high

two types of product packages,

we call them w and x

w + x = 80 ------ equation 1

w has 3 pounds weight

x has 5 pounds weight

3*w +5*x

3w + 5x

total weight = 325

we subtract weight of pallet 35

= 325 - 35 = 290

3w + 5x = 290-------- equation 2

we have two equations

w + x = 80------(1)

3w + 5x = 290-------(2)

from equation 1,

w = 80 - x

put this value above in equation 2

3(80-x) + 5x = 290

240-3x+5x = 290

240+2x = 290

2x = 290-240

2x = 50

divide through by 2

x = 25

put value of x in equation 1

w + 25 = 80

w = 80-25

w = 55

so we have 55 cartons of w and 25 cartons of product x

PLEASE HELP MEH
find the equation the line
use exact numbers
y=___x+____

Answers

7 and 9 so what u do is calculate the graph and done

IS THIS IN SIMPLIST FORM? PLEASE HELP! TY!

2( x - 3 + 2 )

Answers

Answer:

2x - 2

Step-by-step explanation:

There are two steps to take here.  First add together the -3 + 2 in the brackets:

2(x - 3 + 2)

= 2(x - 1)

Now use the distributive property and multiply each term in the brackets by two:

2(x - 1)

= 2x - 2

And you now have it in simplest form.

10 Pounds in 4 weeks, how many in 1 week

Answers

Answer:

2.5

Step-by-step explanation:

This is unit rate. All you have to do is 10 divided by 4.

if each data is increased by a constant K then find it's mean ?? answer fast pleaseerrreeeeeeeeee​

Answers

Answer:

per month. the only thing is that it is a bit of a new one of our customers

Factor out the
greatest common factor.
4x2 + 2x - 8

Answers

Answer:2(2x2+x−4)

Step-by-step explanation:

Factor 4x2+2x−8

4x2+2x−8

=2(2x2+x−4)

what about this one. pls help me

Answers

Answer:

54

Step-by-step explanation:

486(1/9)

Answer:

I believe it’s 54 more people

Step-by-step explanation:

Because if you divide 486 by 9 you get 54. 54 multiplied by 2 equals 108. So 108 voted for ice cream. While only 54 voted for frozen yogurt. Hope this helps

X=5 and y=7 for algebraic expression 2(4x-3) + 6(3y-5)

Answers

Answer:

130

Step-by-step explanation:

2(4x - 3) + 6(3y - 5)

2(4 × 5 - 3) + 6(3 × 7 - 5)

2(20 - 3) + 6(21 - 5)

2(17) + 6(16)

34 + 96

130

Answer:

The answer would be 130

Step-by-step explanation:

First, substitute the variable values into the equation.

2(4(5)-3) + 6(3(7)-5)

Next, solve for the inside parentheses.

2(20-3) + 6(21-5)

Now solve the parentheses again.

2(17) + 6(16)

Then multiply the numbers.

34 + 96

Finally add the last two numbers together to get your answer of 130.

Hope this helped!

-1/3 + 5/12. Help thank you

Answers

Answer:

1/12

Step-by-step explanation:

-1/3=-4/12

5/12-4/12=1/12

420 es el 36% de 15120?

Answers

Answer:

False

Step-by-step explanation:

36% of 15120 =

36% * 15120 = 36/100 * 15120 = 36 *

false 36% of 15120 is 544.32

I need help please.

Answers

Answer:

Equal

Step-by-step explanation:

y = 3x - 4; (2,7)
Write an equation for the line that is parallel to the given line and that contains the given point
Please help ASAP thank you

Answers

y=3x+1! It is parallel because they have the same slope and it contains the point (2,7)

A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times
and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?

Answers

I believe it is A, The first dot plot is skewed right. Not sure though.

2/3 - 3/7

explain, please...

Answers

find a common denominator
the common denominator of 7 and 3 is 21
2/21 - 3/21
change the numerator
14/21 - 9/21 =5/21

Answer: 8/21

Answer and work are in the picture!

Write an equation of a function that is not linear.

Answers

Don’t go into that link

Please help ill give BRAINLIEST!

Answers

Answer:

27 feet

Step-by-step explanation:

If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is [tex]387 \cdot \sin 4^\circ[/tex], which is about 26.996, so the nearest foot is 27 feet.

(brainliest pls)

I need help can someone please help me

Answers

Answer:

If you are trying to find the other degree its 114.

Step-by-step explanation:

180-66=114

At the West Street Bakery, 16
1
6
of the dessert case holds pies. There are 4 equal size shelves.

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

7. Which of these expressions are equivalent to 10x + 11? Select the three that apply.
A. 5(2x + 10)+1
B. 7(x + 2) + 3x - 3
C. 3(3x + 4) + X-1
D. 2(6x + 4) + 2x + 5
E. 2(6x + 5) - 2x + 1

Answers

Answer:

B

Step-by-step explanation:

7 times 1x equals 7x. Then 7 times 2= 14. Thirdly, 7x plus 3x equals 10x. Lastly, 14 -3 equals 11. So 10-+11 altogether

If 9% of a number equals 10, find 90% of that number.

Answers

Answer:

100

Step-by-step explanation:

In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.

This can also be proven through cross multiplication. To set up a proportion put the percent over the number like, [tex]\frac{9}{10}=\frac{90}{x}[/tex]. Then cross multiply to get the equation, [tex]9x=900[/tex]. Finally, divide both sides to get x=100.

It has been hypothesized that allergies result from a lack of early childhood exposure to antigens. If this hypothesis were true, then we would expect allergies to be more common in very hygienic households with low levels of bacteria and other infectious agents. To test this theory, researchers at the University of Colorado sampled the houses of 61 children 9-24 months old and recorded two variables: (1) whether the child tested positive for allergies and (2) the concentration of bacterial endotoxin in the house dust.

Required:
a. Plot a histogram of bacterial endotoxin levels.
b. Test whether the observed difference in endotoxin levels between the "sensitive" and normal"

Answers

Answer:

[a]. check attachment.

[b]. It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.

Step-by-step explanation:

Without mincing words let's dive straight into the solution to the question above.

[a]. The drawing showing the histogram of bacterial endotoxin levels is given in the attached picture.

KINDLY NOTE: The data is right-skewed.

[b].  ALLERGIC             MEAN        SE MEAN         STDEV           N

      FALSE                     1510             251                  1789            251

        TRUE                    530              109                 343               10

False - true = difference in a.

Hence, 80 = estimated difference.

For the difference, 95% CI = (434, 1527).

DF = 58, P-value = 0.001, and the T value = 3.59.

Therefore, It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.

Arletta built a cardboard ramp for
her little brother's toy cars. Find
the volume of this ramp.
-

Answers

Answer:

525

Step-by-step explanation:

25 x 6 = 150;   150 / 2 =75;   75 x 7 = 525

The tree diagram represents an
experiment consisting of two trials.
.3
.4
B

Answers

Answer:

.32

Step-by-step explanation:

.4x.8=.32

Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST

Answers

Answer:

square root of 338 or 18.38

Step-by-step explanation:

since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38

PLS HELP ASAP IM RUNNING OUT OF POINTS PLSS

Answers

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°

Lexi mailed a letter on Monday morning. The letter traveled 1/2 of a mile on Monday. It
traveled 3/4 more of a mile on Tuesday, reaching its destination on Tuesday afternoon. How
far did Lexi's letter travel in all?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4

The table gives predictions of the average costs of a gasoline car after the year 2030. Which graph best represents the relationship between time and the predicted cost?

Answers

Answer:

It's the b graph

Step-by-step explanation:

Khan Academy.

Answer:

The line slightly curves.

Step-by-step explanation:

Got it right on Khan

Please help ill give BRAINLIEST. This is geometry

Answers

Answer:

A

Step-by-step explanation:

it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2

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