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?

Answer:

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

Step-by-step explanation:

those are the points, now connect then with a line

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

Step-by-step explanation:

Answer:

x=-4, y=1

Step-by-step explanation:

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

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

∣

∣

−−−−−−−−−−−−−−−

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

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) .

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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

Answer:

Revenue = $8.44

Profit = $1.69

Step-by-step explanation:

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

Answer:

6x - 3 < 15

Step-by-step explanation:

6x - 3 < 15

Hope this helps!!!

Happy holidays!

Answer:

Deon spent 60% of his money on lunch.

Step-by-step explanation:

Answer: no.

Step-by-step explanation:

it's 1 tenth

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

12 cups= 3 quarts

there ya goo

Answer:

4

Step-by-step explanation:

two negative signs are equal to a positive sign

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.

Answer: 3 parrots

Step-by-step explanation:

Answer:

402 7/100

Step-by-step explanation:

Hope this helps!

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

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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

9514 1404 393

Answer:

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.

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

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

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!

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: