Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute

Answers

Answer 1

Answer: A: 3 square feet per minute

Step-by-step explanation:

Answer 2

The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.

System of equations

30x + + 30y = 450 equation 1

20x + 25y = 345 equation 2

Where:

x = square feet shovelled by Melinda

y = square feet shovelled by Paula

What is the square feet shovelled by Paula?

The first step is to multiply equation 1 by 20 and equation 2 by 30

600x + 600y = 9000 equation 3

600x + 750 y = 10,350 equation 4

Subtract equation 3 from equation 4

150y = 1350

Divide both sides by 150

y = 9 square meters

What is the square feet shovelled by Melinda?

Substitute for y in equation 1

30x + 30(9) = 450

30x + 270 = 450

30x = 450 - 270

30x = 180

x = 6 square meters

How much more can Paula shovel in 1 minute than Melinda?

9 - 6 = 3 square meters

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552


Related Questions

Simone makes $7.75 for every hour she works at the bakery. If she wants to make $93, how many hours will she need to work?

Answers

Simone makes 7.75x
93 = 7.75x
Divide by 7.75
She needs to work at least 12 hours

She visited Creepy Cavern at (-2, 5), Bernie's Barn at (-3, 2), Sweet Symphonies at (-3, -1), Rock and Roll Hall at (-2, -4), Whimsical Wonders at (3, -4), Mystery Mansion at (3, 2), and Star Gazing Point at (5, 5). Which of these pairs of places are more than 6 units from one another?

Answers

Answer:

We need to find the distance between the pairs of points to know which is greater than 6units. To do that we make use of this formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where [tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] are two points on the line.

Let us denote Creepy Carven with CC, Bernie Barn as BB, Sweet Symphonies as SS, Rock and Roll Hall as RR, Whimsical Wonders as WW, Mysterial Mansion as MM and Star Grazing point as SG.

The distance between CC (-2, 5) and BB(-3, 2) using that formula will be:

[tex]d = \sqrt{(-3 + 2 )^2 + (2 - 5)^2}[/tex]

Which is [tex]d = \sqrt{(-1 )^2 + (-3)^2}[/tex]

That gives

[tex]d = \sqrt{10} < 6[/tex]

If we do this for BB to SS we have our value greater than 6, SS to RR our value greater than 6, RR to WW greater than 6, WW to MM is equal to 6 and MM to SG is less than 6.

From here we conclude that the pairs of places greater than 6 is:

BB to SS

SS to RR

RR to WW

WW to MM

Answer:

First, plot each of the points and label them.

Determine the distance between the pairs of places listed in each answer choice.

Since Whimsical Wonders and Rock and Roll Hall lie on the same horizontal line, the distance between the two points is the absolute value of the difference of the x-coordinates.

Using this same process, the distance between Bernie's Barn and Mystery Mansion is 6 units, and the distance between Creepy Cavern and Star Gazing Point is 7 units.

Since the Mystery Mansion and Whimsical Wonders lie on the same vertical line, the distance between the two points is the absolute value of the difference of the y-coordinates.

Using this same process, the distance between Rock and Roll Hall and Creepy Cavern is 9 units, and the distance between Sweet Symphonies and Bernie's Barn is 3 units.

Therefore, the pairs of places that are more than 6 units from one another are Creepy Cavern and Star Gazing Point and Rock and Roll Hall and Creepy Cavern.

Step-by-step explanation:

What is the length of a segment with endpoints at (-3,4) and (4,4)

Answers

Answer:

The length is 8

Step-by-step explanation:

In ARST, mZR = (11x + 3)º, mZS = (x + 15), and mZT = (2x + 8).
Find mZR

Answers

Answer:

124°

Step-by-step explanation:

(11x + 3)° + (x + 15)° + (2x + 8)° = 180°

14x + 26 = 180

14x = 154

x = 11

m∠R = [11(11) + 3]° = 124°

Write the ratio 150:450 in the form 1:n

Answers

Answer:

1 : 3

Step-by-step explanation:

Given

150 : 450 ( divide both parts by 150 )

= 1 : 3

The ratio 150:450 in the form 1:n will be 1 : 3.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given ratio, 150:450

150/450 = 15/45 = 1/3 = 1:3

Hence "The ratio 150:450 in the form 1:n will be 1 : 3".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Lauren is working two summer jobs, making $11 per hour washing cars and $6 per hour walking dogs. Lauren must earn no less than $120 this week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours walking dogs, d, that Lauren can work in a given week

Answers

Answer:

11w + 6g ≥ 120

Step-by-step explanation:

Let's set:

w = number of hours Lauren spent washing cars

d = number of hours Lauren spent walking dogs

Lauren makes $11 per hour washing cars, thus she earns 11w in total for washing cars.

Lauren makes $6 per hour walking dogs, thus she earns 6d in total for walking dogs.

The total earnings are:

T = 11w + 6g

Lauren must earn not less than $120 this week, thus:

11w + 6g ≥ 120

This is the required inequality

Answer:

11w+6d≥120

Step-by-step explanation:

this is straghit from my delt math so it has to be right

can Someone help me ​

Answers

Answer:

B

Step-by-step explanation:

The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.

Answers

Answer:

The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

Step-by-step explanation:

We are given

Average of 3 quiz grades = 17

Grade of quiz 1 = 14

Grade of quiz 2 = 19

We need to find Grade of quiz 3

The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]

Using formula and finding the grade of quiz 3

[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]

So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

how do you fing the missing angle from a triangle​

Answers

Answer

Law of Sines

Step-by-step explanation:

If you have all three side lengths, you can use law of sines.

side length a/sin of angle a=side length b/sin of angle b=side length c/sin of angle c

not sure if that makes sense but look up the law of sines!

Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?

Answers

Answer:

Width = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2L + 2W

W = L - 20

P = 140

Hence,

140 = 2L + 2(L - 20)

140 = 2L + 2L - 40

Collect like terms

140 + 40 = 4L

180 = 4L

L = 180/40

L = 45 feet

Length = 45 feet

Width = L - 20 feet

=( 45 - 20) feet

= 25 feet

How do you factor 3х2-8x?

Answers

Answer: 6-8x

Step-by-step explanation:

In Josie's garden, the ratio of zinnias to petunias is 5:3. Which sentence correctly describes the ratio? A For every 5 zinnias, there are 3 petunias. B For every 3 zinnias, there are 5 petunias. C For every 8 petunias, there are 5 zinnias. D There are 35 as many zinnias as petunias.

Answers

Answer: A For every 5 zinnias, there are 3 petunias.

Step-by-step explanation:

STEP 1

A ratio  compares the value of one thing and another thing  in the same unit by expressing how many times  a number of items are contained in another comparing item . it is usually expressed using the  colon : as in a: b or "to" as in a to b.

STEP 2

in Josie's garden, the ratio of zinnias to petunias is 5:3.

Here, the ratio 5:3 compares and  expresses how many times the number of petunias are contained in the number of zinnias.

which means that For every 5 zinnias, there are 3 petunias.


Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?

Answers

Answer:

0.08 percent

Step-by-step explanation:

Answer:

0.08%

Step-by-step explanation:

i just did 4/50. i know this works because i use it to find my grade percentages.

I need to know 9 and 10

Answers

Answer:

x=36°

y=144°

Step-by-step explanation:

y is the corresponding angle of angle 144° and since corresponding angles are always congruent y=144°

x is the same side interior angle of angle 144° and since same side interior angles are also supplementary angles that add up to 180° x=36°

180°-144°=36°

hopefully this helps :)

Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.

1. Write an expression that shows how much Vincente slept in terms of Dorinda.

2. Write an expression that shows how much Dorinda slept in terms of Sade.

3. Write an expression that shows how much Sade slept in terms of Vincente.

Answers

Answer/Step-by-step explanation:

*An average person on Earth needs 8.5 hours of sleep each night*

1. V - 5 = D

2. D ÷ 2 = S

3. S + 5 = V

Can somebody please help me solve problem 16 .

Answers

Answer:

i think it`s $35

Step-by-step explanation:

Because 80 divided by 2 = 40 and the problem says to subtract 5 so I believe the answer is $35.

i need help on this question about slope

Answers

(-2,0)
(0,-2)
slope= -2-0/0-(-2)
slope=-2/2
slope=-1

-x + 1 = x + 21

solve for x


I need this asap​

Answers

Answer:

x = -10

Step-by-step explanation:

-x + 1 = x + 21

(given)

__________

-x + 1 = x + 21

+x +x

(addition property of equality)

(add the x term on both sides to cancel out -x)

__________

1 = 2x + 21

-21 -21

(subtraction property of equality)

(subtract by 21 on both sides to get rid of the constant term on the x side)

________

-20 = 2x

÷2 ÷2

(division property of equality)

(divide to get rid of the coefficient of 2 in the x term)

_______

-10 = x

(symmetric property of equality)

(switch both sides so that x is on the left)

_______

x = -10

________________________________

Proof by substitution:

x = -10 because

x = -10 → -x + 1 = x + 21 → -(x) + 1 = (x) + 21 → -(-10) + 1 = (-10) + 21 → 10 + 1 = 21 - 10 →

11 = 11

Answer:

x=10

Step-by-step explanation:

Put both of the x on one side, and the numbers on the other side (this breaks down the equation).

This is make it easier for you to add/substract/divide/multiply.

The Patel family went apple picking. The number of red apples they picked was 2 __ 2 9 times the number of green apples they picked. If they picked 45 green apples, how many red apples did they pick?

Answers

Answer:

100

I first made 45 a fraction = 45/1

Then i made 2 2/9 into an improper fraction

then make my equation

45/1 ×20/9=100

answer is 100 red apples

Step-by-step explanation:

3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! 15 points! and marked brainliest

Answers

Answer:

Step-by-step explanation:

a. a=4

b. a=3

hope this helps

+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.

Answers

Answer:

Step-by-step explanation:

Given:

AB ≅ AD

AC ⊥ BD

To Prove:

ΔBAE ≅ ΔDAE      

                 Statements                        Reasons

1). AB ≅ AD and AC ⊥ BD             1). Given

2). AE ≅ AE                                   2). Reflexive property

3). ΔBAE ≅ ΔDAE                         3). HL postulate of congruence

use the distributive property to expand this equation please2/3 (18x + 6z)

Answers

Answer:

12x + 4z

Step-by-step explanation:

Given: 2/3 (18x + 6z)

Multiply the fraction 2/3 into each term

([tex]\frac{2}{3}[/tex])*18x + ([tex]\frac{2}{3}[/tex])*6z

[tex]\frac{36}{3}[/tex]x + [tex]\frac{12}{3}[/tex]z

12x + 4z

What is the domain and the range for this graph

Answers

Answer:

Domain:(0,infinite)

Range:(5,infinite)

Step-by-step explanation:

Answer:

D = 0, 1, 2, 3, 4, 5

R = 20, 40, 80, 160


Item 1
Order the numbers from least to greatest.

−3/4, 0.5, 2/3,−7/3, 1.2

Answers

Answer:

-7/3, -3/4, .5, 2/3, 1.2

Step-by-step explanation:

negatives are always the least number

Answer:

-7/3, -3/4, 0.5, 2/3, 1.2

Hope this helps! Sorry if it's wrong!

Jesse wants to buy a guitar that cost $2000 however he cannot afford the full payment and in order to take you home he needs to leave a 12% down payment how much does Jessie need to pay to take the guitar home

Answers

Answer:

$240

Step-by-step explanation:

Step one:

given data

we are told that the cost of the guitar is $2000

and that 12% of the cost must be paid for Jesse to take the guitar home.

Hence we aim to know what 12% of $2000 is

Step two:

The expression is

=12/100*2000

=0.12*2000

=240

This means that Jesse must pay $240 before he can take the guitar home

pls help find the inequality represented by the graph​

Answers

Answer:

use the linear equation of a line

equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

now u do the rest

Identify three solutions of the inequality x < 1

Answers

Answer:

-1, -2, -3

Step-by-step explanation:

any number less than 1 will work

Answer:

-3, -4,-5

Step-by-step explanation:

< means less than. In this situation, you want x to be less than 1, so basically, any number under 1 is correct.

Justin wants to make a necklace with 72 beads. He knows that 12 beads
take up 4 inches of string, but the store only sells string by the centimeter.
How many centimeters should he buy? Explain. (Hint: 1inch = 2.54 cm) *

Answers

Answer: 60.96 cm

12 beads take up 4 inches

72/12 = 6

Hence, 72 beads take up 4 * 6 inches

72 beads take up 24 inches

24 inches = 24 * 2.54

24 inches = 60.96

Answer:

60.96cm

Step-by-step explanation:

So if 12 beads=4 inches

        72 beads=72 beads*4 inch

                            12 beads

That will give you 24inches. inch-cm multiply by 2.54cm

=60.96cm of rope

A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?

Answers

Answer:

- 4.683

Step-by-step explanation:

Given that:

Slope of regression line = 2.334

Mean of x coordinate = 6.607

Mean of y coordinate = 10.738

Y value of the y intercept of the line :

The value of the intercept can be obtained using the the relation :

Mean of y coordinate - slope(mean of x coordinate)

Ybar - slope(xbar)

10.738 - 2.334(6.607)

= −4.682738

= - 4.683 ( 3 decimal places)

Hence, intercept = - 4.683

Answer:

- 4.683

Step-by-step explanation:

Can u guys help with this​

Answers

Answer:

Turkey Trot

Pumpkin Pie

Family Dinner

Mashed Potatoes

Football

Wish bone

Carve the Turkey

Green Beans

Cornucopia

Black Friday Shopping

Thanks Giving

Table Clothes

November

Drumsticks

Thanksgiving Parade band

Please Consider Brainliest! Hope I helped!

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