The sum of two numbers is 39. The sum of twice the larger number and three times the smaller number is 93. Find the smaller number.

Answers

Answer 1

Answer:3 * (n + 4) = 93

3n + 12 = 93

Subtract 12 to both sides:

3n = 81

Divide 3 to both sides:

n = 27

Step-by-step explanation:

Answer 2

Final answer:

The smaller number is 15.

Explanation:

To find the smaller number, let's assign variables to the two numbers. Let's call the larger number 'x' and the smaller number 'y'. According to the given information, we have two equations:

x + y = 39

2x + 3y = 93

To solve this system of equations, we can use the method of substitution.

Rearrange the first equation to get x = 39 - y.

Substitute this expression for x into the second equation:

2(39 - y) + 3y = 93

Now, simplify and solve for y:

78 - 2y + 3y = 93

y = 15

Therefore, the smaller number is 15.


Related Questions

If I am going 70 miles per hour and I am talking to someone for 66 seconds and 513 milliseconds how long would it take for my car to travel with the extra time

Answers

Answer:

Car would have traveled [tex]1.283[/tex] miles more with the extra time

Step-by-step explanation:

Given

Speed of the car - [tex]70[/tex] miles per hour

Speed of car in miles per second

[tex]\frac{70}{60* 60}[/tex]

[tex]= 0.0194[/tex] miles per second

Time wasted in talking instead of travelling

[tex]66[/tex] seconds and [tex]513[/tex] milliseconds

Total time wasted in seconds

[tex]66 + \frac{513}{1000} \\66 + 0.513[/tex]

[tex]66.153[/tex] seconds

Distance that would have been traveled in this time instead of talking

[tex]0.0194[/tex] miles per second [tex]* 66.153[/tex] seconds

[tex]= 0.0194 * 66.153[/tex] miles

[tex]= 1.283[/tex] miles

What is the value of the rational expression x-2x2-3/4x2-12 when x = 3?
-1/4
0
1/4
undefined

Answers

Answer:

(-135)/4

Step-by-step explanation:

Evaluate -(3 x^2)/4 - 2 x^2 + x - 12 where x = 3:

-(3 x^2)/4 - 2 x^2 + x - 12 = 3 - 2×3^2 - 3/4×3^2 - 12

3^2 = 9:

3 - 29 - 3/4×3^2 - 12

3^2 = 9:

3 - 2×9 - 3/4×9 - 12

-2×9 = -18:

3 + -18 - 3/4×9 - 12

-3×9 = -27:

3 - 18 + (-27)/4 - 12

Put 3 - 18 - 27/4 - 12 over the common denominator 4. 3 - 18 - 27/4 - 12 = (4×3)/4 + (4 (-18))/4 - 27/4 + (4 (-12))/4:

(4×3)/4 - (18×4)/4 - 27/4 - (12×4)/4

4×3 = 12:

12/4 - (18×4)/4 - 27/4 - (12×4)/4

4 (-18) = -72:

12/4 + (-72)/4 - 27/4 - (12×4)/4

4 (-12) = -48:

12/4 - 72/4 - 27/4 + (-48)/4

12/4 - 72/4 - 27/4 - 48/4 = (12 - 72 - 27 - 48)/4:

(12 - 72 - 27 - 48)/4

12 - 72 - 27 - 48 = 12 - (72 + 27 + 48):

(12 - (72 + 27 + 48))/4

| 1 |  

| 7 | 2

| 4 | 8

+ | 2 | 7

1 | 4 | 7:

(12 - 147)/4

12 - 147 = -(147 - 12):

(-(147 - 12))/4

| 1 | 4 | 7

- | | 1 | 2

| 1 | 3 | 5:

Answer: (-135)/4

On Friday, 112 grocery shoppers bought a candy bar from the checkout line and 588 grocery shoppers did not. What percentage of shoppers did NOT buy a candy bar?

Answers

Answer: 84%

Step-by-step explanation:

112 grocery shoppers bought a candy bar and 588 grocery shoppers did not.

Number of grocery shoppers that bought candy bar = 112

Number of grocery shoppers that did not buy candy bar= 588

Total number of grocery shoppers= 112+588 = 700

Percentage of shoppers did not buy a candy bar= 588/700 × 100

= 0.84 × 100

= 84%

Answer:

0.84 = 84%

Step-by-step explanation:

First we need to find the total number of grocery shoppers.

If 112 bought a candy bar and 588 did not, the total number of grocery shoppers is:

588 + 112 = 700

Now, to calculate the percentage of grocery shoppers that didn't buy a candy bar, we make a division between the number of grocery shoppers that didn't buy a candy bar and the total number of grocery shoppers:

588 / 700 = 0.84 = 84%

Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all 25 possible outcomes of the experiment on a sheet of paper.Consider the event that the first ball that is drawn is blue.

Answers

Answer:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

Step-by-step explanation:

[tex]\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls}[/tex],[tex](denoted \:W_1, W_2, \:and\: W_3)[/tex]

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and  its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

The tree diagram of this event is also attached.

Solve for x in the equation x^2 - 4x-9= 29

Answers

x = 2 + √42, 2 - √42

I'm guessing 4+-√42 if u can understand it's the last one....

Each of forty-one pet owners was asked, "Does your pet eat more dry food or wet food?" Here are the results. Among the cat owners,6 chose "Dry food" and 8 chose "Wet food". Among the dog owners, 14 chose "Dry food" and 13 chose "Wet food".

Answers

No, pet does not eat more dry food than wet food.

Here's the detailed explanation of the table:

Dog Owners: Among the owners of dogs, 6 prefer to feed their pets wet food, while 11 prefer to feed them dry food.Cat Owners: Among the owners of cats, 12 prefer to feed their pets wet food, which is typically more common for cats due to their need for higher moisture content in their diet, and 15 prefer to feed them dry food.

The numbers in the table are called "frequencies," and they show how many responses fell into each category. The table allows us to quickly see and compare the food preferences of dog and cat owners. For instance, we can observe that:

More cat owners prefer wet food for their pets compared to dog owners (12 versus 6).More dog owners prefer dry food compared to wet food (11 versus 6).Similarly, more cat owners prefer dry food compared to wet food, but the preference is less pronounced (15 versus 12).

This table does not provide the total number of respondents in each category, but since we know that there are 44 pet owners in total, we could infer additional information if needed.

For example, we can calculate the total number of dog owners (6 + 11 = 17) and the total number of cat owners (12 + 15 = 27) from the table.

The completed table is given below.

The complete question is given below:

Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce, and 4 7/8 pounds of onions. How many servings of her dish can she make if each serving is 1/2 pound? Which two equations are needed to solve the problem?

Answers

Answer:

[tex]\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}[/tex]

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

[tex]5\frac{1}{8}[/tex] pounds of pasta, 6 pounds of sauce; and [tex]4\frac{7}{8}[/tex] pounds of onions.

Total Weight of Food Made, x

[tex]=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds[/tex]

Since each serving is [tex]\frac{1}{2} Pounds[/tex]

Number of Servings of her dish, y

[tex]16 \div \frac{1}{2}\\ =32 \: Servings[/tex]

The two equations needed to solve the problem are therefore:

[tex]\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}[/tex]

Evaluate each expression

Answers

Answer:

a. 32

b. 27

c. 64

d. 36

e. 1/16

f. 1/9

Answer:

a.32

b.27

c.64

d.36

e.1/16

f.1/9

Step-by-step explanation:

Hope it helps.!

You are building a sandbox for your little sister. You want to make sure that she has 200 cubic ft. Of space to play. Give a possible length, width, and height of the sandbox.

Answers

Answer:

10x10x2

Step-by-step explanation:

10 * 10 * 2 = 200

3. What is x?
E
4x+ 5
H

Answers

what is the question

Multiply and simplify the following complex numbers: (1 + 2i) x (1 - 4i)

Answers

Answer:

9-2i

Step-by-step explanation:

(1 + 2i) * (1 - 4i)

(1*1)-(1*4i)+(2i*1)-(2i)*(4i)

(1)-(4i)+(2i)-(8i^2)

i^2 = -1

1-4i+2i+8

1-2i+8

9-2i

Final answer:

The multiplication and simplification of the complex numbers (1 + 2i) x (1 - 4i) results in 9 - 2i.

Explanation:

To multiply and simplify the complex numbers (1 + 2i) and (1 - 4i), we must use the distributive property, just like in normal algebra. We get (1*1) + (1*-4i) + (2i*1) + (2i*-4i), which is 1 - 4i + 2i - 8i². But remember, in complex numbers, i² equals -1, so it simplifies further to 1 - 2i -8(-1), or 1 - 2i + 8, and finally, 9 - 2i which is our final, simplified result.

Learn more about Complex Numbers Multiplication here:

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Which expression is NOT equivalent to −3/8·(−4+1/2)?


Drag this expression to the box.

Answers

Answer:

The answer to your question is the first option

Step-by-step explanation:

Original expression

                                 -3/8 (-4 + 1/2)

First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

                                                              they forgot the negative sign of the

                                                              second term.

Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

                                                               original. Distributive property

Third option    (-3/2)(-3 1/2)                 This option is equivalent to the original

Fourth option  (-3/8)(-3) + (-3/8)(-1/2)  This option is equivalent to the original

The mean intelligence quotient (IQ) score is 100, with a standard deviation of 15, and the scores are normally distributed. Given this information, the approximate percentage of the population with an IQ greater than 130 is closest to _________.

Answers

Answer:

2.28% is the approximate percentage of the population with an IQ greater than 130.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P(IQ greater than 130)

[tex]P( x > 130) = P( z > \displaystyle\frac{130 - 100}{15}) = P(z > 2)[/tex]

[tex]= 1 - P(z \leq 2)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x > 130) = 1 - 0.9772 = 0.0228 = 2.28\%[/tex]

2.28% is the approximate percentage of the population with an IQ greater than 130.

The approximate percentage of the population with an IQ greater than 130 will be 2.28%.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean intelligence quotient (IQ) score is 100, with a standard deviation of 15, and the scores are normally distributed.

Then the approximate percentage of the population with an IQ greater than 130 will be

The value of z-score

z = (130 - 100) / 15

z = 30 / 15

z = 2

Then the probability will be

P(x > 130) = P(z > 2)

P(x > 130) = 1 - P(z < 2)

P(x > 130) = 1 - 0.97725

P(x > 130) = 0.02275

Then the percentage will be

P = 0.02275 x 100

P = 2.275%

P ≅ 2.28%

More about the normal distribution link is given below.

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Given that the measure of ∠x is 123°, and the measure of ∠y is 51°, find the measure of ∠z. °

Answers

Answer:

The measure of angle z is 59°.

Step-by-step explanation:

Final answer:

To find the measure of ∠z when ∠x = 123° and ∠y = 51°, add the angles and subtract the sum from 180°.

Explanation:

Given:

∠x = 123°

∠y = 51°

To find ∠z:

Add ∠x and ∠y: 123° + 51° = 174°

Since the sum of angles in a triangle is 180°, subtract the sum of ∠x and ∠y from 180° to find ∠z: 180° - 174° = 6°

Hence, ∠z = 6°.

5/7 = p + 4/7
p =
Solve the equation.

Answers

Step-by-step explanation:

p=5/7-4/7

7p=1

p=1/7

hope it helps

Answer:

Step-by-step explanation:

Calculate the area of the shaded region. Use 3.14 for pi. Round your answer to the nearest hundredth if necessary

Answers

Based on the diagram shown above, the area of the shaded region rounded to the nearest hundredth is 1.34 square meter.

In Mathematics and Euclidean Geometry, the area of a square can be calculated by using this formula;

A = [tex]s^2[/tex]

Where:

A is the area of a square.s is the side length of a square.

By substituting the given side lengths into the formula, we have;

Area of square, A = 2.5 × 2.5

Area of square, A = 6.25 square meters.

In Mathematics and Geometry, the area of a circle can be calculated by using this formula:

Area of circle = π[tex]r^2[/tex]

Where:

r represents the radius of a circle.

By substituting, we have;

Radius of circle = diameter/2 = 2.5/2

Radius of circle = 1.25 m.

Area of circle = π × [tex]1.25^2[/tex]

Area of circle ≈ 4.91 square meters.

Area of the shaded region = Area of square - Area of circle

Area of the shaded region = 6.25 - 4.91

Area of the shaded region = 1.34 square meter.

The area of the shaded region is Area = 1.34 [tex]m^2[/tex].

To find the area of the shaded region (the area outside the circle but inside the square), we need to calculate the area of the square and the area of the circle, then subtract the area of the circle from the area of the square.

Given:

Side length of the square [tex]\(s = 2.5\)[/tex] meters

Use [tex]\( \pi = 3.14 \)[/tex]

1. Calculate the area of the square:

[tex]\[ \text{Area of the square} = s^2 = 2.5^2 = 6.25 \text{ square meters} \][/tex]

2. Calculate the radius of the circle:

Since the circle is inscribed in the square, the diameter of the circle is equal to the side length of the square.

[tex]\[ \text{Diameter of the circle} = 2.5 \text{ meters} \][/tex]

[tex]\[ \text{Radius of the circle} = \frac{2.5}{2} = 1.25 \text{ meters} \][/tex]

3. Calculate the area of the circle:

[tex]\[ \text{Area of the circle} = \pi r^2 = 3.14 \times (1.25)^2 \][/tex]

[tex]\[ \text{Area of the circle} = 3.14 \times 1.5625 = 4.90625 \text{ square meters} \][/tex]

4. Calculate the area of the shaded region:

[tex]\[ \text{Area of the shaded region} = \text{Area of the square} - \text{Area of the circle} \][/tex]

[tex]\[ \text{Area of the shaded region} = 6.25 - 4.90625 = 1.34375 \text{ square meters} \][/tex]

Rounded to the nearest hundredth:

[tex]\[\text{Area of the shaded region} \approx 1.34 \text{ square meters}\][/tex]

The complete question is:

Calculate the area of the shaded region. Use 3.14 for pi. Round your answer to the nearest hundredth if necessary.

Area = ____ [tex]m^2[/tex].

Jake ran 145 meters before lunch and 389 meters after lunch. How many kilometers did Jake run in all? 0.00534 km 0.0534 km 0.534 km 5.34 km

Answers

Jake ran 0.534 km in all, if he ran 145 meters before lunch and 389 meters after lunch.

Step-by-step explanation:

The given is,

                  Jake ran 145 meters before lunch.

                  389 meters after lunch.

Step:1

        Total distance ran by Jake,

           Total distance = Jake run before lunch + Jake run after lunch...(1)

        Where,

                    Jake run before lunch = 145 meters

                       Jake run after lunch = 389 meters

        Equation (1) becomes,

                    Total distance = 145 + 389

                                             = 534

                    Total distance = 534 meters

Step:2

        1 kilometer = 1000 meters

        Total distance ran by Jake = 534 meters

                                                     = [tex]\frac{534}{1000}[/tex] kilometers

                                                     = 0.534

      Total distance ran by Jake  = 0.534 km

Result:

         Jake ran 0.534 km in all, if he ran 145 meters before lunch and 389 meters after lunch.

Answer:

0.534

Step-by-step explanation:

I did the work

Imagine we found a strong positive correlation between worry and sleep disturbances and we hypothesized that drinking caffeine before going to bed would exacerbate this relationship. What type of analysis could we conduct to test this hypothesis?a. Moderationb. Mediationc. ANCOVAd. Two-way ANOVA

Answers

Answer:

The correct option is;

a. Moderation

Step-by-step explanation:

Here we have that the analysis is to check the hypothesis that drinking caffeine would exacerbate the effect of sleep disturbance caused worry is a form of moderator analysis.

A moderator analysis is one in which we attempt to determine if the  relationship between two investigated variables is dependent on the magnitude or presence of a third variable. We refer to the third variable as the moderator or moderator variable.

Can someone help me on this

Answers

Answer = 702.9 inches

What is this???): pls help

Answers

Answer:

sin D= 12/15

sin E= 9/15

cos D=9/15

Step-by-step explanation:

Use SOH CAH TOA

Sine= opposite/hypotenuse

Cosine= adjacent/hypotenuse

Tangent= opposite/adjacent

Jose Has scored 28,24,26,27,and 21 Points in his five basketball game so far. How many points does he need to score in his next game so that his average mean is 25 points per game

Answers

Answer:

The correct answer is 24.

Step-by-step explanation:

Jose wants to have an average mean of 25 points per game in his 6 basket ball matches.

Total points Jose plans to achieve in 6 games is 25 × 6 = 150.

Points score by him in the first five matches are 28, 24, 26, 27 and 21.

Total points in 5 matches is 126.

Thus the points he need to score in his next game to have an average mean of 25 is given by 150 - 126 = 24.

A cylinder has a radius of 1 inch and a height of 1 inch. What is the approximate volume of the cylinder? Round to the nearest hundred. Use 3.14 for pie

Answers

Answer:3.14
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 1 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=3.14(1)^2(1)
Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .

Read more on Brainly.com - https://brainly.com/question/15702861#readmore

If the volume of an object is 100cm3 and the density is 4g/cm3. What is the mass of the object in g?

Answers

Answer:

400g

Step-by-step explanation:

mass= density × volume

Substitute the given value of density and volume.

Mass of the object

= 4(100)

= 400g


If you reflect point A (3, 4) over
the y-axis, what is the reflected
point?

Answers

The rule for reflecting a point over the y-axis is this:

(x, y) ---> (-x, y)

The x term becomes the opposite and the y term stays the same

(3, 4) ---> (-3, 4)

Hope this helped! Let me know if you have any further questions!

~Just a girl in love with Shawn Mendes

A box contains 5 red marbles and 7 green marbles. Find the probability of drawing 2 red marbles.
1. a) with replacement
2. b) without replacement

Answers

Answer:

1) 25/144 or 0.1736

2) 5/33 or 0.1515

Step-by-step explanation:

Total marbles: 5 + 7 = 12

1) 5/12 × 5/12

25/144

0.173611111

2) 5/12 × 4/11

5/33

0.151515151515

Answer:

1. 25/144

2. 5/33

Step-by-step explanation:

1. There are a total of 12 marbles. The probability of drawing the first marble red is: 5/12. Since we replace the marble, when we draw the second marble, the probability will also be 5/12. So we multiply them together and get: 25/144.

2. Again the probability of drawing the first marble red is 5/12. However, this time we're not replacing. This means that there are 12 - 1 = 11 remaining marbles and 5 - 1 = 4 remaining red marbles. Then the probability of choosing a second red marble is: 4/11. Multiply these two together: (5/12) * (4/11) = 20/132 = 5/33

Hope this helps!

The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases?

Answers

Answer:

5 and 11

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)*h

We know the height  is 8 and the area is 64.  

Let one of the bases is b and the other is b+6

64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

16 = 2b+6

Subtract 6 from each side

16-6 = 2b+6-6

10 =2b

Divide each side by2

10/2 =2b/2

5=b

The second base is

5+6 =11

Grace had 4 3/8 yards of elastic. She used 1 2/3 yards of the elastic to make bracelets for her friends. How many yards of elastic does she have now?

A. 6 1/24
B. 3 7/24
C. 2 17/24
D. 3 17/24​

Answers

Answer: D. 3 17/24​

Step-by-step explanation:

4 3/8 - 1 2/3

Michael is packing his bags for his vacation. He has 6 unique toy animals, but only 5 fit in his bag. How many different groups of 5 toy animals can he take?

Answers

Answer:

6 different groups of toy animals

Step-by-step explanation:

In this question, we are to calculate the number of different groups of toy animals Michael can take.

Since we are selecting, this is clearly a COMBINATION question. Now from the question, we are trying to select 5 toy animals from a group of 6 different animals to fit in the bag

The number of ways we can do this is  6C5 ways

Mathematically, if we have to select a number of r items from a group of n items, the number of ways this can be done is;

nCr = n!/(n-r)!r!

Using the case in the question, we have; 6!/5!(6-5)! = 6!/5!1! = 720/120 = 6 groups

Answer:

6 different groups of toy animals

Step-by-step explanation:

The question above can be solved by applying the Combination technique

Combination technique uses the formula:

nCk = n! /k!(n-k)!

Where in the question above:

n = 6

k = 5

Therefore we have , 6C5

= 6! / 5! (6-5)!

= 6!/ 5!(1!)

6! = 6×5×4×3×2×1

5! = 5×4×3×2×1

Hence,

= (6×5×4×3×2×1) / (5×4×3×2×1)(1)

= 6

Hence, Michael can take 6 different groups of toy animals with him on his vacation.

Ken can walk
40
4040 dogs in
8
88 hours.
How many dogs can Ken walk in
12
1212 hours?

Answers

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

Jose is working two summer jobs, making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours Jose worked washing cars last week and the number of hours he worked walking dogs last week. Define the variables that you use to write the system.

Answers

Answer:

x+y =13

10x + 9y =122

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The sum of the hours he worked washing cars (x) and the hours he worked walking dogs(y) will be equal to the total hours worked (13)

x+y =13

For the second equation the product of the number of hours he worked washing cars(x) and the price per hour ($10) plus the product of the number of hours he worked walking dogs (y) and the price per hour ($9) will be equal to the total amount earned (122)-

10x + 9y =122

So, the system of equations is:

x+y =13 10x + 9y =122

Where:

x: number of hours Jose worked washing cars

y: number of hours Jose worked walking dogs  

Based on the information given, the equation will be:

x + y = 1310x + 9y = 122

Based on the information given, the sum of the hours he worked washing cars and the hours he worked walking dogs will be equal to the total hours worked. Thia can be represented by:

x + y = 13

On the other hand, the product of the number of hours he worked washing cars and the price per hour plus the product of the number of hours he worked walking dogs and the price per hour can be represented with the equation:

10x + 9y = 122

In conclusion, the equation will be x + y = 13 and 10x + 9y = 122.

Learn more about equations on:

https://brainly.com/question/13763238

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