During the summer, Jody earns $10 per hour babysitting and $15 per hour doing yardwork. This week she worked 34 hours and earned $410. If x represents the number hours she babysat and y represents the number of hours she did yardwork, which system of equations models this situation?

Answers

Answer 1

Given:

Jody earns $10 per hour babysitting and $15 per hour doing yardwork.

This week she worked 34 hours and earned $410.

To find:

The system of equations models this situation.

Solution:

Let x represents the number hours she babysat and y represents the number of hours she did yardwork.

Total number of hours is 34.

[tex]x+y=34[/tex]

Total income is $410.

[tex]10x+15y=410[/tex]

Therefore, the required system of equations has equations [tex]x+y=34[/tex] and [tex]10x+15y=410[/tex].


Related Questions

please i need help asap. if u can help that’d be great

Answers

Answer:

The answer is B. (2x-3)

the answer to this question is b. 2x-3

What is the equation of a line that contains the points (2,-2) and (0, -2)? y = 0
x=-2
y = -2
x=0

Answers

Y=-2 should be the answer

Answer:

Y=-2

Step-by-step explanation:

Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1).

Answers

Answer:y=-1/4x+5/4

Step-by-step explanation:

Perpendicular means the slope has to be the negative reciprocal.

Since the slope is currently 4, the perpendicular slope is -1/4.

It also has to pass through the point 1,1 , so you just plug x in which will be

1*-1/4=-1/4. from 1 to -1/4, its 5/4, so that's your b in y = mx+b

The equation will then be y=-1/4x+5/4

$37 dinner bill with a 15% tip

Answers

Answer:

$5.55

Step-by-step explanation:

calculator

Answer:

$42.55

Step-by-step explanation:

Mark me Brainliest plz

d − 21.4 = 87 . Help! What is D?

Answers

Answer:

108.4

Step-by-step explanation:

Answer:

d=108.4

Step-by-step explanation:

Just add 21.4 on both sides

bill weighs 120 pounds and is gaining ten pounds each month.phil weighs 150 pounds and is gaining 4 pound each month. how many months,m, will it take for bill to weigh the same as phil?

Answers

Answer:5 months

Step-by-step explanation:150 +4 5 times would be 170 and 120+10 5 times would be 170 as well

-5.65 ___ -5.6

Which one is correct? Greater than, less than, or equal?

A. (-5.65 > -5.6)
B. (-5.65 < -5.6)
C. (-5.65 = -5.6)

Explain btw!!!

Answers

Answer:

B. (-5.65 < -5.6)

Step-by-step explanation:

-5.6 is considered -5.60 if you fill in the missing decimal point to create two spaces after the decimal to compare. Since both decimals are negatives, -5.6 is closer to 0 on the number line.

1. Which is an equation of the line parallel to y =2x-7 and passes through
(-1, 3)?

Answers

Answer: The answer is y=2x+5

Answer:

(-3.5,-7)

Step-by-step explanation:

I don't know if this is right or not but in that equation you have to first find what x is. so you would change the equation to look like 2x+y= -7. then you would write 2x+y×0= -7. then the equation would be 2x= -7 and then you would divide 2x÷2=x and -7÷2= -3.5. so for x it would be (-3.5,Y) no we have to figure out y.

so you would keep the equation as 2x+y= -7. and then would write 2x×0+y= -7. and then you would have the equation y= -7. so y= -7.

so if you fill in the spaces you get (-3.5,-7)

sorry if this is incorrect

A high school class wants to make atleast $1500 by hosting a dance. The class knows that hey will make $500 in refreshments.
If the class sells tickets for $5 what’s the inequality to determine the number of tickets the class would need to sell to make at least $1500.
And determine the number of ticket the class would need to sell to make $1500

Answers

Answer:

1000=5x

Step-by-step explanation:

200 tickets

200*5 is 1000. 1000+500 is 1500

2y + 12 = -3x

solve pls i have more

Answers

I believe that y=-1.5x-6 is the answer.

y=-x^2+2x+4 in standard form

Answers

Answer:

I think it already is in standard form.

Step-by-step explanation:

Standard form means that a quadratic function is in the form [tex]ax^2+bx+c=y[/tex].

In this case, a=-1, b=2, and c=4.

Find the distance round the semi circle with a diameter of
35 cm

Answers

Answer: a semi circle is half a circle so 35 divided by 2 is 17.5

Step-by-step explanation:

Answer:

54.91 cm ² is the perimeter

formula =2 × 3.14× r (half the diameter)× 0.5

Can somebody help me plz with this math problem!!

Answers

Answer:

Step-by-step explanation:

.

Answer:

thxxxxxxxxxx for the points

Step-by-step explanation:

Which types of dilation are the given scale factors?



Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
-5/4
3/8
-1.2
.5

Answers

Answer:

- 5/4: Englargement

3/8: Reduction

- 1.2: Englargement

.5: Reduction

Step-by-step explanation:

Any number from 1 up is an enlargement. Any number from 0 - 0.9 is a reduction. The same goes for negatives. Any number from -1 down is an enlargement. Any number from 0 - -0.9 is a reduction.

10(x-5)+5x-6 solve using distributive property and simplify

Answers

Answer:

=15x-56

Step-by-step explanation:

10(x-5)+5x-6
=15x-56

I hope this is right, have a good day! :)

Angle ABC is a right angle. The measure of angle ABD is 65 degrees. The measure of angle DBC is x degrees. What is the value of x?

Answers

Answer:

25 degrees

Step-by-step explanation:

Angle ABC is a right angle. This means it has a value of 90 degrees. When you add that to angle ABD, which has 65 degrees, you get 155 degrees. To find the measure of angle DBC you subtract 155 from 180. Your answer is 25 degrees.

Answer:

25 degrees

Step-by-step explanation:

Took the test

which of the following is the quotient of the rational expressions shown below​

Answers

Answer:

Step-by-step explanation:

Work out the value of
5^8 x 5^-2 /
5^4

Answers

Answer:

the answer is 25

Step-by-step explanation:

After simplifying the expression the final value of the expression is given by 25

What are exponents?

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here : The expression 5⁸×5⁻² / 5⁴

We know from the law of exponents, for any non-zero term a,

[tex]a^m.a^n=a^{m+n}[/tex]

Thus simplifying the expression we get

5⁸×5⁻² / 5⁴

=5⁸⁻² /5⁴

=5⁶⁻⁴

=5²

=25

Hence, The value of the expression is 25

https://brainly.com/question/5497425

#SPJ2

Find the midpoint of the line with endpoints G(-4,4) and H(6,4)

Answers

Answer:

(1,4)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Which division problem does the model below show?

A. 4 divided by 1/6=24

B. 4 divided by 1/6=12

C. 24 divided by 1/6=4

D. 12 divided by 1/6= 4

Please help! Thank you!

Answers

Answer:

A

Step-by-step explanation:

Answer:I just had this question also it’s A, 4 divided by 1/6=24

Step-by-step explanation:

Can someone help me with this??

Answers

Answer:

yes

no

yes

yes

Answer:

nope

sorry lad

Step-by-step explanation:

im bought 10 used books at the yard sale How much did she pay? Did you use addition or multiplication to solve this problem? Why? Also the price of one book is 75 cents

Answers

It’s 7.5 because 10x0.75 is 7.5

a What fractions can you find that are equivalent to 2/3?

Answers

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

Item 1
Find 11/12+(−7/12). Write your answer as a fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

I think not sure.

Solve the following: What number is 60% of 48?

Answers

Answer:

28.8

Step-by-step explanation:

x = .60(48)

x = 28.8

Step-by-step explanation:

hope this helps, good Night xD

15.24 = 8.44 + 5x step by step pls :)

Answers

Answer:

19.334

Step-by-step explanation:

First I multiplied.

15.24 x 1.64 = 24.9936

Then I convert my answer to British pounds.

24.9936 = 19.334 British Pound Sterling

Answer:

1.36

Step-by-step explanation:

15.24 = 8.44 + 5x

subtract 8.44 from both sides

6.80 = 5x

divide both by 5

x = 1.36

2 1/2 divided by 5/2 = ?

Answers

Answer:

I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.

Step-by-step explanation:

Write in simplest form. 1/6 divided by 6 divided by 6

Answers

Answer:

1/216

Step-by-step explanation:

I am pretty sure this is correct

you have to make the whole number 6 into a fraction 6/1

now it is 1/6 divided by 6/1 but you need to do KCF keep change flip

so now it is 1/6 times 1/6 and you get 1/36

then turn 6 into a fraction again

then KCF

Now it is 1/36 times 1/6 and you get 1/216

We have that for the Question "Write in simplest form. 1/6 divided by 6 divided by 6" it can be said that

The simplest form of the statement is

[tex]x=\frac{1}{216}[/tex]

From the question we are told

Write in simplest form. 1/6 divided by 6 divided by 6

Generally the equation for the statement  is mathematically given as

[tex]x=\frac{\frac{\frac{1}{6}}{6}}{6} \\\\ Therefore \\\\ x=\frac{\frac{1}{36}}{6}\\\\[/tex]

[tex]x=\frac{1}{216}[/tex]

Therefore

The simplest form of the statement is

[tex]x=\frac{1}{216}[/tex]

For more information on this visit

https://brainly.com/question/19007362

Put -3/2, and -1 1/4 and -1.75 in order from least to greatest. You can use the number line to help.

Answers

Answer:

-1.75, -3/2, -1 1/4

Step-by-step explanation:

Let me know in comments if I need to explain.

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft

Answers

Answer:

[tex]n = 3[/tex]

[tex]XY = 39[/tex]

[tex]XZ = 39[/tex]

Step-by-step explanation:

Given

[tex]XY = 9n + 12[/tex]

[tex]XZ = 15n - 6[/tex]

[tex]<XYZ = <YZX[/tex]

Solving (a): n

To solve for n;

We make use of

[tex]XY = XZ[/tex]

Substitute values for XY and XZ

[tex]9n + 12 = 15n - 6[/tex]

[tex]9n - 15n = -12 - 6[/tex]

[tex]-6n = -18[/tex]

Divide through by -6

[tex]n = 3[/tex]

Solving (b) XY

[tex]XY = 9n + 12[/tex]

Substitute 3 for n

[tex]XY = 9 * 3 + 12[/tex]

[tex]XY = 27 + 12[/tex]

[tex]XY = 39[/tex]

Solving (c): XZ

[tex]XZ = XY[/tex]

[tex]XZ = 39[/tex]

The value of n is 3, the measure of leg XY is 39 ft, and the measure of XZ is 39 ft and this can be determined by using the properties of an isosceles triangle.

Given :

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ.

Given that the angle XYZ and angle YZX are congruent to each other and triangle XYZ is an isosceles triangle.

From the above statement, it can be concluded that the side length of XY and the side length of XZ is also congruent to each other, that is:

XY = XZ

9n + 12 = 15n - 6

Simplify the above expression in order to determine the value of 'n'.

18 = 6n

n = 3 ft

The measure of leg XY is given by:

XY = 9(3) + 12 = 39 ft

The measure of leg XZ is given by:

XZ = 15(3) - 6 = 39 ft

For more information, refer to the link given below:

https://brainly.com/question/19237987

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