Sophia needs $47 to go on a field trip. She has saved $11.50. She earns $6.50 per hour cleaning her neighbor's garden, and she earns $5.25 per hour selling cakes at a store. Can Sophia go on the field trip if she works at the garden for 4 hours and at the store for 2 hours?

Answers

Answer 1

47 - 11.50 = $35.50 needs to be earned.

If she works 6 hours:
6.50 x 4 = 26
5.25 x 2 = 10.50

26 + 10.50 = $36.50 how much she would earn by working 6 hours.

when you add the amount of money she would earn for working 6 hours $36.50 plus the money she had already had saved up $11.50 the total amount of money she would have is $48.00

So, yes. She would be able to go on the field trip if she worked at both jobs to 6 hours.

Answer 2

Answer:

yes

Step-by-step explanation:

Related Questions

steve is 5 years older than his brother joe. in 4 years steve will be twice as old as joe will be then. how old is steve now?

Answers

Here is the answer with an explanation

Final answer:

The question requires the use of algebraic expressions to determine the ages of Steve and Joe. Solving the appropriate equation yields that Steve is 6 years old.

Explanation:

This problem can be solved using basic algebraic expressions. If we assume the current age of Joe to be 'x' years, then Steve, being 5 years older, is 'x + 5' years old. Now, in 4 years, Joe's age will be 'x + 4' and Steve's age will be '(x + 5) + 4' which equals 'x + 9'. According to the question, Steve will be twice as old as Joe in 4 years, so we can express this relation algebraically as '2(x + 4) = x + 9'. Solving this equation yields 'x = 1', which means that Joe is currently 1 year old, and thus, Steve is currently 1 + 5 = 6 years old.

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A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?

Answers

L x W = 60
2(L + W) = 32
L + W = 16
L = 16 - W

substitute L = 16 - W into L x W = 60
L x W = 60
(16 - W) x W = 60
16W -W^2 = 60
W^2 - 16W + 60 = 0
(W - 6)(W - 10) = 0
W - 6 = 0; W = 6
W - 10 = 0; W = 10

answer
Length = 10 m and Width = 6 m

The length of the room is 10 m and width is 6m.

We have given that the area is 60 square meters

and perimeter of the square is 32 meters

What is the formula for the area of the square?

[tex]Area =L \times W[/tex]

we have given that the area is 60

Therefore,[tex]L \times W = 60.......(1)[/tex]

What is the formula for the perimeter?

[tex]Perimeter=2(L + W)[/tex]

From given we get,

[tex]2(L + W) = 32[/tex]

[tex]L + W = 16[/tex]

[tex]L = 16 - W.......(2)[/tex]

Substitute the value of L = 16 - W into (1) we get,

[tex]L \times W = 60[/tex]

[tex](16 - W) \times W = 60[/tex]

[tex]16W -W^2 = 60[/tex]

[tex]W^2 - 16W + 60 = 0[/tex]

[tex](W - 6)(W - 10) = 0[/tex]

[tex]W - 10 = 0\implies W = 10\\W - 6 = 0\implies W = 6[/tex]

Therefore the length is 10 m and width is 6m.

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PLEASE HELP! there are multiple answers. Juan has a budge of $20.00 for lunch each week. Choose one of the meals from the part b for juan's lunch on monday ( I chose hamburger which is $2.50). How much does he have left for the rest of the week? How many could he spend each remaining day, if he spends the same amount each day?

Answers

So he spends $12.50 a week since there is 5 days of school a week. He can spend $1.50 a day since there is 7.50 left from the week. So he can get a hamburger and use 1.50 every week and reach his budget of $20

I really need help on this one

17.) Rachel is planning a wedding for 100 to 250 people, depending on costs. She has hired a caterer that charges $20 per person, plus a flat fee of $200.

a.) Write an inequality in terms of p people that describes how many people Rachel plans to invite.

b.) Adjust that inequality to show how much the caterer will charge in terms of p.

c.) What is the range of catering fees that Rachel is considering?

Answers

Part A:

Given that Rachel is planning a wedding for 100 to 250 people, the inequality in terms of p people that describes how many people Rachel plans to invite is given by:

100 ≤ p ≤ 250

Part B:

Given that the caterer charges $20 per person, plus a flat fee of $200, the inequality that shows how much the caterer will charge in terms of p is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200

Part C:

The range of catering fees (C) that Rachel is considering is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200

2000 + 200 ≤ C ≤ 5000 + 200

2200 ≤ C ≤ 5200

Therefore, the range of catering fees Racheal is considering is from $2,200 to $5,200

Answer:

A ? B ? C ?

Step-by-step explanation:

which is greater 0.7 or 3/4

Answers

The answer is 3/4 because 0.7= 7/10. To have the same denominator, multiply the fraction by the other denominator. ( 4 is the denominator of the other fraction.) 7x4=28 10x4=40 so it's equal 28/40
Do the same thing for the other fraction. ( 10 is the denominator.)
3x10=30 4x10=40 so it's equal 30/40
We have the same denominator now so we can just compare it.
28/40 < 30/40

The value of fraction 0.7 is greater than the value of 3/4.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the terms are 0.7 and 3/4. The values in the chemical points are,

First = 3/4 = 0.42

Second = 0.7

Here 0.7 is greater than the value 3/4 = 0.42

Hence, the greater value between the two values 3/4 and 0.7 is 0.7.

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The tax on a property with an assessed value of $120,000 is $300. Find the tax on a property with an assessed value of $140,000

Answers

The answer is $350 dollars of tax.

Does this relation represent a function

Answers

Yes this is a function. Specifically, it is a linear function. It graphs a straight line. It is impossible to pass a single vertical line through more than one point on this graph. So it passes the vertical line test confirming we have a function.

Any input x leads to exactly one output y.

help on homework due tomorrow

Answers

Solve for x by simplifying both sides of the equation, and then isolating the variable.

10. x = -1

12. x = 23/19

Is 16% of 40 the same as 40% of 60? Explain your reasoning.

Answers

no 16% of 40 is 32/5 where 40%of 60 is 24.
Hope this helps.

16/100 * 40
.16*40=5.4
40/100 * 60 = 24 so no

math questions down below

Answers

= 5/3 x (-7/2)
= -35/6
= -5 5/6

answer A.
-5 5/6

Convert both mixed numbers to improper fractions:
5/3 and -7/2
Use the formula for multiplying fractions:
5*(-7)/ 3*2
-35/6
Convert to a mixed number.
The answer is (A) -5 5/6

Choose all the answers that apply. Todd drops three balls made of different materials to see how high they will bounce. He drops each ball from a height of ten feet. All the balls are the same size. The independent variable is how high the balls bounce. The dependent variable is the height the balls bounce. The independent variable is the type of material the balls are made from. The height the balls are dropped from is a control. The size of the balls is a control.

Answers

The independent variable is the type of material the balls are made from

the sum of two numbers is 15 and their difference is 7, What are the two numbers

Answers

These numbers are 11 and 4

11+4=15
11-4=7

Greetings!

Let x represent the first number
Let y represent the second number

Create a system of equations, representing the problem:
[tex] \left \{ {{x+y=15} \atop {x-y=7}} \right. [/tex]

Use elimination to solve:
[tex]+ \frac{\left \{ {{x+y=15} \atop {x-y=7}} \right. }{2x=22} [/tex]

Divide both sides by 2.
[tex]2x=22[/tex]
[tex] \frac{2x}{2}= \frac{22}{2} [/tex]
[tex]x=11[/tex]

Solve for the other variable:
[tex]x+y=15[/tex]
[tex]11+y=15[/tex]
Add -11 to both sides.
[tex](11+y)+(-11)=(15)+(-11)[/tex]
[tex]y=4[/tex]

The Solution to this Problem is:
[tex] \left[\begin{array}{ccc}x=11,y=4\end{array}\right] [/tex]

The numbers are 11 and 4.

Hope this helps.
-Benjamin

what happens to a rational number in fractional form converts to a decimal

Answers

Suppose you started with the rational number 2/3. To convert this to a decimal fraction, we'd divide 3 into 2, obtaining 0.666666..... (repeating decimal).

Which one of the following letters is used as an abbreviation for electric current?

Answers

electric current is measured in Amps, which is abbreviated as the letter A

The band sold 385 cases of fruit. There are 24 bags of fruit in each case. Which is the best estimate of the number of bags of fruit sold?
A. 900 bags of fruit
B. 1,000 bags of fruit
C. 6,000 bags of fruit
D. 10,000 bags of fruit

Answers

D, 385 times 24 equals 9,240

Answer:

it is 10,000

Step-by-step explanation:

Your local minor League baseball team has 120 ball caps 180 miniature baseball keychains and 240 glow-in-the-dark bracelets to give away to the children on opening day the items will be split into identical sets with no items left over each child will receive one set of items what is the greatest number of children that will receive a set of items on opening day please show all work due today

Answers

The answer will be 60.

Decompose all numbers into prime factors

Write all numbers as the product of its prime factors

Choose the common prime factors with the lowest exponent

Calculate the Greatest Common Factor or GCF

Final answer:

To find the greatest number of children that will receive a set of items on opening day, we can find the greatest common divisor of the quantities of ball caps, keychains, and bracelets.

Explanation:

To find the greatest number of children that will receive a set of items, we need to determine the number of identical sets that can be made from the available items. We can do this by finding the greatest common divisor (GCD) of the quantities of ball caps, keychains, and bracelets.

The GCD of 120, 180, and 240 is 60. This means that 60 sets of items can be made, with each set consisting of 2 ball caps, 3 miniature baseball keychains, and 4 glow-in-the-dark bracelets.

Therefore, the greatest number of children that will receive a set of items on opening day is 60.

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-2(4-3x)-6x=10 solve for x

Answers

No solution.

This is unsolvable because the x is canceled out.

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?
A. No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.
B. No, he does not have enough tiles. He needs 4,600 tiles, so he needs 200 more.
C. Yes, he has enough tiles. He needs only 4,146 tiles and will have 254 left over. D. Yes, he has enough tiles. He needs only 4,256 tiles a

Answers

D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.

Mr. Lyons has enough tiles he needs only 4,256 tiles A; option (D) Yes, he has enough tiles. He needs only 4,256 tiles and he will have 144 left over is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.

= 38x112

= 4256

= 4400 - 4256

= 144

Thus, Mr. Lyons has enough tiles he needs only 4,256 tiles A; option (D) Yes, he has enough tiles. He needs only 4,256 tiles and he will have 144 left over is correct.

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Hannah travels 6 times as many minutes to work as Raoul does. Together, they travel for 63 minutes. How many minutes does Hannah ? Draw a model and write an equation to solve. Also just tell me the strategys to draw the model thank you!

Answers

The equation would be 6x+x=63. Not sure how the models play out, but good luck

an apple has a mass of 297 how many killo grams is it

Answers

297 what? I think you're missing out a unit. if it is 297 grams then the answer is 0.297 kilograms

0.297 kg is the naswer

I still need help on this question

Answers

The answer would be d = 1/32

d equals 0.03125................

Write 17/4 mixed number HELP PLEASE!!!!!

Answers

4 1/4
Hope this helps

The answer is: " 4 ¼ " .
________________________________________________
Note: Using long division:
________________________________________________

   4 R 1 ;
4 | 17
- 16
1

________________________________________________
So; we have: "4 R 1" {" 4 remainder 1"; the "4" is the "whole number" (in the "mixed number", the "1" is the numerator of the fraction in the "mixed number"; and the "divisor", "4", is the denominator of the fraction in the "mixed number.
________________________________________________
The answer is: " 4 ¼ " .
________________________________________________

if the simple interest on $4,000 for 10 years is $3,200,then what is the interest rate

Answers

The. Interest rate would be 1.25.

On morgans 3rd birthday, she weighed 45 pounds. On her 12th birthday, she weighed 105 pounds.Find the rate of change in her weight.

Answers

morgan gains 6.66666667 pounds every year

Is y=6x-6 direct proportion

Answers

Hello!

y = 6x - 6 is not a direct proportion...

Hope this helps!

I need help I don't understand how to do this

Answers

What is the problem? Is there isn't a problem, do you just what help for a test?

On this you are really just trying to find the lowest number that both of the numbers go into. For example if you have the numbers 6 and 9, 18 would be the lowest common multiple because it is the smallest number that both the numbers go into. An example with fractions is 3/4 and 5/6, what they are trying to tell you is that you find a common denominator for the two fractions (here it would be 12, making them 9/12 and 10/12) and then you can add them together to get the least common multiple (for this problem it would be 19/12). This is a faster way that works for fractions, but would not work as well in my opinion for whole numbers.

The particle of dust has a mass of 7.53x10 to the-10 kilograms. Find the weight of 5 billion dust particles

Answers

It would be 3.765 pounds. You have to do 7.53 x 10 to the -10= 0.000000000753. Then do 0.000000000753 x 5 billion to get 3.765.

Final answer:

To find the weight of 5 billion dust particles, multiply the weight of one particle (determined by the mass of the particle times gravity) by 5 billion. The resulting weight of these dust particles is approximately 36.9 Newtons.

Explanation:

The weight of a particle can be determined using the formula weight = mass x gravity. Given that the mass of a dust particle is 7.53x10^-10 kilograms and assuming normal earth gravity which is approximately 9.8 meters per second squared, the weight of one dust particle is about 7.38x10^-9 Newtons. If we want to find the weight of 5 billion such particles, we'd multiply this single particle weight by 5 billion (5x10^9), resulting in a total weight of about 36.9 Newtons.

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Find the value of the ratio for 63:135

Answers

63:135 = 7:15
Hope this helps!!

To simplify the ratio, you have to be able to take the same number out of the top and bottom, in this case just looking at it you can take a 3 out of both.

63:135

21:45

We can still take yet another 3 out of both of them

7:15 is your answer if you were looking to simplify it

It takes Francisco 15 minutes to ride his bike 4 km, which is the distance from home to school. What is his average speed?

Answers

It takes francisco 15 minutes to ride his bicycle 4 km, which is the distance from home to school.

Answer:

The average speed is 16 km/hr.

Step-by-step explanation:

Given : It takes Francisco 15 minutes to ride his bike 4 km, which is the distance from home to school.

To find : What is his average speed?

Solution :

Distance covered from home to school is 4 km.

Time taken by bike to cover the distance is 15 minutes.

Converting minutes into hour,

1 hour = 60 minutes

1 minute = [tex]\frac{1}{60}[/tex] hours

15 minute = [tex]\frac{15}{60}[/tex] hours

15 minute = 0.25 hours

The speed formula is given by,

[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]

[tex]\text{Speed}=\frac{4}{0.25}[/tex]

[tex]\text{Speed}=16[/tex]

Therefore, The average speed is 16 km/hr.

Together, two wildlife refuge tour guides lead nine 45-minute tours each day. The wildlife refuge needs to calculate the person-hours for the tours to allocate enough money in their budget to pay the tour guides. What is the number of person-hours per day for the tours? Bubble A. 27 Bubble B. 540 Bubble C. 13.5 Bubble D. 270

Answers

c 13.5 bubble id the best choice

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