Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money. Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Answers

Answer 1

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

 

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Hope this helps have a good day


Related Questions

HELP ME ASAP I need help with this problem

Answers

The answer is the second choice

B.

the solution is in the picture

What is the value of tan 0 in the unit circle below?

Answers

Answer:

1 / sqrt(3)

Step-by-step explanation:

tan(o) = sin(o) / cos(o)

sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.

cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.

so,

tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)

1) Enlun mixes 8 cups of pineapple juice and 14 cups of cranberry juice to make a fruit punch. Assuming he always mixes in the same ratio, write an equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c).

a) How many cups of pineapple juice are needed for 63 cups of cranberry juice?

Answers

Answer:

p = 4/7c

p = 36 cups when c = 63 cups

Step-by-step explanation:

Cups of pineapple juice, p = 8

Cups of cranberry juice, c = 14

equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c)

p = k * c

Where,

k = constant of proportionality

p = k * c

8 = k * 14

8 = 14k

k = 8/14

k = 4/7

Therefore,

p = 4/7c

How many cups of pineapple juice are needed for 63 cups of cranberry juice?

p = 4/7c

p = 4/7 * 63

= (4 * 63) / 7

= 252/7

= 36

p = 36

p = 36 cups when c = 63 cups

Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question 2. Measure and record the side lengths of and . Then measure and record the side lengths of and .

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

.hhx cvs Gunther b but kcm

pls help im begging u..

Answers

9 hours trust me I did it already

Latoya created a factor tree and wrote the prime factorization of 90 shown below.
A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.

Answers

Answer:

She should have included an exponent of 2 on the 3

Step-by-step explanation:

The factor tree can be presented as follows;

                [tex]{}[/tex]                                90

[tex]{}[/tex]                                                  ↓

[tex]{}[/tex]                                     9          ↔            10

[tex]{}[/tex]                                     ↓                           ↓

[tex]{}[/tex]                                3  ↔  3                  2  ↔  5

Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5

She should have wrote, 90 = 3² × 2 × 5

Therefore, the error is that she should have included an exponent of 2 on the 3.

Answer:

B

✔ She should have included an exponent of 2 on the 3.

Step-by-step explanation:

E2021

calcula el área lateral de un prisma cuya base es un pentagono de 10cm de arista, 16.88 cm de apotema y 15 cm de altura

Answers

Answer:

Lateral surface area of pentagonal prism = 750 cm²

Step-by-step explanation:

Given information:

Height of pentagonal prism = 15 cm

Length of edge = 10 cm

Length of apothem = 16.8 cm

Find:

Lateral surface area of pentagonal prism

Computation:

Lateral surface area of pentagonal prism = 5(a)(h)

Lateral surface area of pentagonal prism = 5(10)(15)

Lateral surface area of pentagonal prism = 750 cm²

Based on the table below, what is the relationship between cups and tablespoons?

Answers

Answer:

the answer is A

Step-by-step explanation:

the number of cups is 1/16 of the number of the tablespoons

The formula for the volume of a cylinder is V = srh.
Solve v = rn for h, the height of the cylinder.

Answers

Answer:

A

Step-by-step explanation:

Have a great summer :)

can anyone please explain this?
Find the equation of locus of a point A(-3,2) and B(0,4).....

what is locus actually?​

Answers

Answer:

Solution given:

Let there be a point P(x, y) equidistant from

A(-3, 2) and B(0,4),

so PA = PB,

[tex]\sqrt{(x+3)²+(y-2)²}=\sqrt{(x-0)²+(y-4)²}[/tex]

squaring both side

[tex](\sqrt{(x+3)²+(y-2)²})^{2}=(\sqrt{(x-0)²+(y-4)²})²[/tex]

x²+6x+9+y²-4y+4=x²+y²-8y+16

x²+6x+y²-4y-x²-y²+8y=16-4-9

6x-4y+8y=3

6x-4y=3 is a required locus

Actually:

A locus is a curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.


Anna is following this recipe to make biscuits.
Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate

Answers

Answer:

130

Step-by-step explanation:

Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)

Answers

Answer:

[tex]3(2x+5)(x-3)[/tex]

Step-by-step explanation:

The given equation is:

[tex]6x^{2}-3x-45[/tex]

It can be solved by using middle term splitting.

So,

[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]

So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]

Look at the graph below. What type of function is represented by this graph?

Someone come through with the answers pls

Answers

So you need to get your slope formed then rise over run and calculate your graph. Y=Mx+b

Solve for X (line a and b parallel)

Answers

Answer:

x=29°

Step-by-step explanation:

as lines are parallel.

external alternate angles are equal.

7x-86=4x+1

7x-4x=1+86

3x=87

x=87/3=29

if 2/a=1/b-1/d find an expression for d in terms of a and b​

Answers

Answer:

Step-by-step explanation:

2/a = 1/b - 1/d

2d/a = d/b - 1

2d/a - d/b = -1

d(2/a - 1/b) = -1

d(2b-a)/(ab) = -1

d(a-2b)/(ab) = 1

d = ab/(a-2b)

Which of the following is equivalent to the expression below?
2(-3x+1) – 4x

- -2x+2
- -10x+1
- 2x+1
- -10x+2

Answers

Answer:

[tex]\underline{\underline{ -10x +2}}[/tex]

Step-by-step explanation:

A expression is given to us and we need to simplify out the expression . The given expression is ,

[tex]\implies 2(-3x +1)-4x [/tex]

Open the brackets .

[tex]\implies -6x +2-4x [/tex]

Simplify the like terms .

[tex]\underline{\underline{ -10x +2}}[/tex]

Hence the correct option is (4) .

Which expression is equivalent to (9⋅5)2/3

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\dfrac{(9 \times5) 2}{3}}[/tex]

[tex]\huge\boxed{9 \times 5 = \bf 45}[/tex]

[tex]\huge\boxed{ = \dfrac{45(2)}{3}}[/tex]

[tex]\huge\boxed{45(2) = \bf 90}[/tex]

[tex]\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}[/tex]

[tex]\huge\boxed{= \bf 30}[/tex]

[tex]\huge\boxed{\rm{Answer: 30}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

30

Step-by-step explanation:

[tex] \small \sf = \frac{( 9 × 5 ) 2 }{3} \\ [/tex]

Multiply 9 and 5 to get 45.

[tex] \small \sf = \frac{ 45 × 2 }{3} \\ [/tex]

Multiply 45 and 2 to get 90.

[tex] \small \sf = \frac{ 90 }{3} \\ [/tex]

Divide 90 by 3 to get 30.

= 30

convert decimal number system into binary number system:216​

Answers

Answer:

11011000

Step-by-step explanation:

the binary equivalent of decimal number 216 is 11011000

[tex]\huge\sf\red{Answer}[/tex]

11011000

__________

Hopefully it helps

For a project in his Geometry class, Tyler uses a mirror on the ground to measure the height of his school building. He walks a distance of 14.65 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

Answers

Answer:

The height of the school building is approximately 21.06 meters

Step-by-step explanation:

The method of Geometry Tyler is using to determine the height of his school building is through the property that similar triangles have a common ratio of corresponding their sides

The given parameters for the triangle formed by Tyler and the mirror are;

The distance from Tyler's eyes to the ground = 1.15 meters

The horizontal distance between Tyler and the mirror at X = 0.8 m

The parameters of the triangle formed by the height, h, of the school building and the mirror at X are;

The horizontal distance between the school building and the mirror = 14.65 m

The height of the school building = h

Therefore, we have;

[tex]\dfrac{The \ distance \ from \ Tyler's \ eyes \ to \ the \ ground}{The \ height \ of the \ school \ building} =\dfrac{Tyler's \ horizontal \ distance \ from \ mirror }{The \ building \ to \ mirror \ horizontal \ distance }[/tex]Therefore;

[tex]\dfrac{1.15 \, m}{h} = \dfrac{0.8 \ m}{14.65 \ m}[/tex]

[tex]h = \dfrac{1.15 \, m \times 14.65 \, m }{0.8 \, m} = 21.059375 \ m[/tex]

The height of the school building h to the nearest hundredth meter ≈ 21.06 m.

3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10

Answers

Answer:

The answer is

[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]

the answer to the question above is D)10

Which length is equivalent to 12 yards?
4 feet
9 feet
15 feet
36 feet

Answers

Answer:

4 feet

Step-by-step explanation:

1 yard is 3 feet

then 12 yards is 4 feet

Answer:

It is 36.

Step-by-step explanation:

It's simple math

Mathematically verify the outlier(s) in the data set using the 1.5 rule.
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

1. 7 & 19 are outliers.
2. 7 & 8 are outliers.
3. 7, 8, & 19 are outliers.
4. There are no outliers.

Answers

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

[tex]Q_1=\dfrac{11+13}{2}[/tex]

[tex]Q_1=\dfrac{24}{2}[/tex]

[tex]Q_1=12[/tex]

And

[tex]Q_3=\dfrac{16+16}{2}[/tex]

[tex]Q_3=\dfrac{32}{2}[/tex]

[tex]Q_3=16[/tex]

The interquartile range is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=16-12[/tex]

[tex]IQR=4[/tex]

The data values lies outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] are known as outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[6,22][/tex]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

If you answer this correctly you get a cookie

Answers

Answer:

3/9

Step-by-step explanation:

P(G,G) = 1/3 × 1/3 = 1/9

P(B,B) = 1/9

P(Y,Y) = 1/9

P(same colour) 1/9 + 1/9 + 1/9 = 3/9

Someone please tell me what the cube root of x to the power of 3 is?

Answers

Answer:

x

Step-by-step explanation:

The cube root of x to the power of 3 is

( [tex]\sqrt[3]{x}[/tex] )³ = ( [tex]x^{\frac{1}{3} }[/tex] )³ = x

or

[tex]\sqrt[3]{x^3}[/tex] = x

15,000 ones 1,500 tens 15 thousands 15,000 15 ten thousands which is odd one out explain how you now

Answers

Answer:

15 ten thousands

Step-by-step explanation:

15,000 ones is 15,000 * 1 = 15,000

1,500 tens is 1,500 * 10 = 15,000

15 thousands is 15 * 1000 = 15,000

15,000 is 15,000 '-'

15 TEN thousands is 15 * 10,000 = 150,000

It could be 1.5 ten thousands. 1.5 ten thousands is 15,000.

Someone please help me with this math problem? !!

Answers

Answer:

x = -1

Step-by-step explanation:

If you input -1 to both functions, you get 3.

Find the equation of the line.
Use exact numbers.

Answers

Answer:

Y = 2x + 5

Step-by-step explanation:

2x is your slope and 5 is your y intercept.

The formula for this is: y = mx + b

BRAINLEST IF CORRECT

Answers

Answer:

first option

Step-by-step explanation:

the graph has a point of (8,2)

so see which option proves this point

2=0.25(8)

2=2

so first option is correct

yeah the other person is correct. it is option a. it’s just the slope. so from zero the line goes up 0.25 from each point to the next. and you check your answer by plugging in a number like the other person did.

Which expression can be used to find the difference of the polynomials?

(10m – 6) – (7m – 4)

Answers

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Question 23 (5 points)
If a leg of a right triangle is 7 units and the hypotenuse is 25 units, what's the length
of the other leg?
1024 units
25.96 units
24 units
324 units

Answers

the answer is 1024 because 7²+25²=b²

factor out the square which gives you

(7+25)²=b²

32²=b²

squaring 32 gives 1024

Answer:

24 units

Step-by-step explanation:

i just took the quiz

Other Questions
How do the magnitude and direction of the electric field on the left side of the dipole compare to the right side for the same distance What are the equipments needed to determine the density of a liquid in laboratory ? which is th main cereal crop of hill region? in nepal Which is one factor that scientists use to classify orders of soil?Which phrase best describes the biosphere? a stone is projected horizontally with 20 m/a from top of a tall building. calculate it's position and velocity after 3s neglecting the air resistance Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed. A 90% confidence interval for a mean if the sample has n-80 with X-22.1 and s = 5.6, and the standard error is SE = 0.63.The 90% confidence interval is to :_________ A dandelion seed floats to the ground in a mild wind with a resultant velocity of 26.0 cm/s. If the horizontal component velocity due to the wind is 10.0 cm/s, what is the vertical component velocity? Show all work. give two examples of traditional religious wise saying which teach good morals The material that would eventually make all the major bodies in our solar system first gathered together as smaller pieces which astronomers call: u m v thun li ca phng php gio dc tr mm non Exfoliation is which type of weathering?A. BiologicalB. PhysicalC. All of theseD. Chemical To add radical expressions, the expressions must have the same index and radicand,TrueFalse Which of the following is the explicit rule for a geometric sequence defined bya recursive formula of a, - 138-1 for which the first term is 7? how can i get better at typing because i suck suppose a triangle has 2 sides of lengths 32 and 35 and that the angle between these 2 sides is 120 what is the length of the 3rd side of the triangle Read the following quote and then identify the literary device that is being used.LENNOX: So that, I say,[Macbeth] has borne all things wellunderstatementsatirecomplimentsarcasm Read "I Wandered Lonely as a Cloud" and answer the question.[1] I wandered lonely as a cloudThat floats on high o'er vales and hills,When all at once I saw a crowd,A host, of golden daffodils;[5] Beside the lake, beneath the trees,Fluttering and dancing in the breeze.Continuous as the stars that shineAnd twinkle on the milky way,They stretched in never-ending line[10] Along the margin of a bay:Ten thousand saw I at a glance,Tossing their heads in sprightly dance.The waves beside them danced; but theyOut-did the sparkling waves in glee:[15] A poet could not but be gay,In such a jocund company:I gazedand gazedbut little thoughtWhat wealth the show to me had brought:For oft, when on my couch I lie[20] In vacant or in pensive mood,They flash upon that inward eyeWhich is the bliss of solitude;And then my heart with pleasure fills,And dances with the daffodils.What does the poet describe in the second stanza? The Civil Works Administration (CWA), employed more than 4 million people in a.post offices, hospitals, and government offices. b.civil rights work, seeking to overcome racism. c.construction of tunnels, highways, courthouses, and airports. d.offering etiquette lessons to youngsters from impoverished urban and rural settings. Round the $40435.29 to the nearest thousand dollar A metric that measures the decline in population sizes, shrinkage of species, and geographic range is ________.