Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.

Is there a week when they have the same amount of money? How much do they have at that time?

Answers

Answer 1

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:


Related Questions

The scale on Todd's map is 1 inch = 200 miles. The distance
from his house to his Grandma's house on the map is 5 1/4 inches.
What is the distance in miles from Todd's house to his Grandma's
house?

Answers

Answer:

1,050 miles

Step-by-step explanation:

First: Convert any mixed numbers to fractions.

Then your initial equation becomes: Applying the fractions formula for multiplication,

2/14×200/1

Applying the fractions formula for multiplication,

21×200

 4×1

=42004

Simplify

1,050

ASSIGNMENT DUE IN 30 MINS PLZ HELP!!!!
I WILL GIVE U BRAINLIEST!!!

Answers

I don’t understand sorry

What is
25 3/10 + 376 77/100

Answers

Answer: 3 parrots

Step-by-step explanation:

Answer:

402 7/100

Step-by-step explanation:

Hope this helps!

There are 8 triangles and 6 circles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

4:3

4 being triangles and 3 being circle.

Essentially, for every 4 triangles there are 3 circles.

Let me know if you need more help, :)

The ratio of number of circles to the total number of shapes is 3 : 7

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of triangles be = A

Now , the value of A is 8

Let the total number of circles be = B

Now , the value of B is 6

So , the equation will be

The total number of shapes = total number of triangles + total number of circles

The total number of shapes = 8 + 6

The total number of shapes = 14 shapes

Now , the ratio of total number of circles to total number of shapes is =

total number of circles : total number of shapes

Ratio of total number of circles to total number of shapes = 6 : 14

On simplifying the ratio , we get

Ratio of total number of circles to total number of shapes = 3 : 7

Hence ,

The ratio of number of circles to the total number of shapes is 3 : 7

To learn more about proportion click :

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please help it’s with a graph thank you so much

Answers

I think the answer might be (1,-1) but I am not totally sure. Sorry!

PLEASE HELP SEE PHOTO
[-00,-3] or (6,o)
(-οο,-3] or [6,o)
(-0,-3) or (6,o)
(-η, -3] or (6, ω)

Answers

The correct answer is B because it is a closed dot which means it’s bracketed on the 3

Find the slope of the line passing through the points (-5,7) and (-5,-9)

Answers

The slope is equal to
2
3

What is the slope and does it pass?

Answers

Answer: no.

Step-by-step explanation:

it's 1 tenth

what is the answer to 2.6=-0.2t

Answers

Answer:

-13

Step-by-step explanation:

Answer:

t = -13

Step-by-step explanation:

2.6 = -0.2t         Equation

2.6 / -0.2 . = -0.2t/-0.2          Divide -0.2 on both sides

t = - 13       Simplify

What is the value of the expression of -(-4)

Answers

Answer:

4

Step-by-step explanation:

two negative signs are equal to a positive sign

I will award 30 points to anyone that can solve this. If i fail i have to retake

Answers

Answer: it’s all in the pictures hope this helps!!:)

Step-by-step explanation:

Answer:

x=-4, y=1

Step-by-step explanation:

20 POINTSS Select all the values that are equivalent to the given expression. Express your answer in scientific notation.
PLZ HEPL ME DUE IN 5 MIN
Select all the values that are equivalent to the given expression. Express your answer in scientific notation.
(9.6 × 10^3) × (6.7 × 10^2)
A 6.432 × 10^5
B 6.432 × 10^6
C 64.32 × 10^5
D 64.32 × 10^6
E (9.6 × 6.7) × (10^3 × 10^2)

Answers

The expression (9.6 × 10³) × (6.7 × 10²) can be simplified in scientific notation as  6.432 × 10⁶ , 64.32 × 10⁵ and (9.6 × 6.7) × (10³ × 10²) .

Scientific notation is a means to express values that are either too big or too little to be conveniently stated in decimal form (typically would result in a long string of digits). It is also known as standard form in the UK and scientific form, standard index form, and standard form. Scientists, mathematicians, and engineers frequently utilize this base ten notation because it can make some mathematical operations simpler.

The given expression is : (9.6 × 10³) × (6.7 × 10²)

First we multiply the decimal terms separately.

So  (9.6 × 6.7) = 64.32 and now we multiply the power terms

10³ × 10² = 10²⁺³ = 10⁵ ( By using the properties of exponents)

So in proper scientific notation 64.32 × 10⁵ = 6.432 × 10⁶

Which can also be written as 6.432 × 10⁶ or (9.6 × 6.7) × (10³ × 10²) .

To learn more about scientific notation visit:

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Anybody wanna help me on this?

Answers

Answer:

(0,-2) , (2,1) , (4,4)

Step-by-step explanation:

those are the points, now connect then with a line

6 times a number x minus 3 is less than 15.

Answers

Answer:

6x - 3 < 15

Step-by-step explanation:

6x - 3 < 15

Hope this helps!!!

Happy holidays!

You’re answer would be 6x - 3 < 15

--> The managers want to know how many boxes of 12 cookies can
be filled with the 3,258 cookies that have been baked. Fatima
starts by subtracting the largest number of boxes she can easily
calculate. She knows that 100 boxes of 12 cookies can be put into
one crate. How many crates can be filled from the total of 3,258
cookies?

Answers

Answer:

271 boxes

Step-by-step explanation:

Answer:

3 crates are required for 3258 cookies

Step-by-step explanation:

since the boxes can have 12 cookies each

number of boxes = number of cookies / number of cookies per box

number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)

since each crate can hold 100 boxes

number of crates = number of boxes / number of boxes per crate

number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)

therefore the number of required crates for 3258 cookies is 3

Step-by-step explanation:hope i helped you

Twelve plus the product of twelve and a number is seventy-two.”

Answers

The equation for this problems is 12+12x=72. The solution to the equation is x=5.


Steps:
12+12x=72
Minus 12 from both sides

12x=60
Divide both sides by 12

60/12=5

HELPP!!

$6.75 marked up 25%*

Answers

Answer:

Revenue = $8.44

Profit = $1.69

Step-by-step explanation:


Jina is saving money to buy a bike. She has $63 and is going to save an additional $9 each week. The bike costs $198. In how many weeks will she have
enough money to buy the bike?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 63, 9, and 198. Let w represent the number of weeks.

Answers

Answer:

Jina will have enough money to buy the bike in 15 weeks

Step-by-step explanation:

y = mx + b

198 = 9x + 63

Subtract 63 from both sides;

135 = 9x

Divide both sides by 9;

x = 15

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

1. solve for x
2(-3x+1) < -5x+14

2. -2(3x+15) less than or equal to 42​

Answers

Answer:

For your first question, the solution is x> -12

Step-by-step explanation:

First, expand 2(-3x+1), writing it as -6x+2

Next, subtract both sides by 2;

-6x + 2 - 2 < -5x + 14 - 2

Then, we simplify;

-6x < -5x + 12

Next, add both sides to 5x;

-6x + 5x < -5x + 12 + 5x

Simplify;

-x<12

Then, multiply both sides by -1, using reverse of inequality;

(-x)(-1)>12(-1)

Finally, simplify;

x>-12

Answer:

The answer to your second question is x is greater than or equal to -12.

Step-by-step explanation:

First, multiply both sides by -1, reversing the inequality;

(-2(3x+15))(-1) greater than or equal to 42(-1)

Next, simplify;

2(3x+15) greater than or equal to -42

Then, divide 2 from both sides;

2(3x+15/2 greater than or equal to -42/2

Next, simplify;

3x + 15 greater than or equal to -21

Then, we subtract both sides by 15;

3x+15-15 greater than or equal to -21-15

Simplify;

3x greater than or equal to -36

Next, divide 3 from both sides;

3x/3 greater than or equal to -36/3

Finally, simplify;

x greater than or equal to -12

I hope we helped you answer your question.

For every 242424 meals Momoka prepared for customers last night, she prepared 222 meals for employees. Momoka prepared 156156156 meals. How many meals did Momoka prepare for customers and for employees last night?

Answers

9514 1404 393

Answer:

13 meals for employees143 meals for customers

Step-by-step explanation:

2/24 = 1/12 of the 156 meals were for employees. That is ...

  156/12 = 13 meals . . . . for employees

The remaining 156 -13 = 143 meals were for customers.

An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?​

Answers

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

x = 80

∵ x represents the actual length of the bridge

The bridge is 80 feet long

Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?​

Answers

Answer:

Deon spent 60% of his money on lunch.

Step-by-step explanation:

Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?

Answers

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

A recipe uses 2 1/4 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

Answers

Answer: 22 1/2 cups

Step-by-step explanation:

multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups

how do you find the y - intercept (explain in sentences)

Answers

find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!

If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.

Answers

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

7

5

=

40.5

i

pounds

7

5

5

. Solve for

x

.

5

7

7

5

x

=

40.5

7

5

i

pounds

x

=

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

−−−−−−−−−−−−−−−

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Answers

12 cups= 3 quarts

there ya goo

PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x

Answers

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches

Answers

Answer:

The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.

Step-by-step explanation:

i think thats it it was right on gogle

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