Mariana's office recycled a total of 9 kilograms of paper over 3 weeks. After 4 weeks,
how many kilograms of paper will Mariana's office have recycled? Solve using unit rates.

Answers

Answer 1

Answer:

9 kg per 3 weeks = 3 kg per week

Therefore, after 4 weeks it is (4 * 3) kilograms or 12 kilograms

Step-by-step explanation:


Related Questions

please need help with this Calculus question

Answers

So what’s the question?

find the probability of making a five digit number form 2,3,4,7,8 in such a way that 7 is the first number and 8 is the last number

Answers

Answer:

n(E) = 6

Step-by-step explanation:

That's to say that there are 6 five-digit numbers with 7 in the first place and 8 in the last place, using the digits 2, 3, 4, 7 and 8. Therefore n(E) = 6.

Can someone please explain step by step on how I get my answer of [30% of 15?]

Answers

Answer: 4.5

Step-by-step explanation:

30% is equal to 30/100, which is 0.3

If you times 0.3 by 15, you will get 30% of 15

Therefore the answer would be 0.3 x 15 = 4.5

Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.

Answers

Answer: betina or adelita

Step-by-step explanation: hope it helps

Which is an equation of the line through (0,0) and (-3,-7)?

O A. y=-7x

O B. y= 2

O C. y = 2

O D. y=-3x

Answers

Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

To learn more on slope of line click:

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Ava and Mary are 10 miles apart on a path when they start moving toward each other. Ava runs at a constant speed of 4 miles per hour, while Mary walks at a constant speed of 1 miles per hour. How long does it take until they meet?

Answers

Answer:

Step-by-step explanation:

You are after time. You know the total distance. They start off at the same time and meet after t hours

Let the meeting time = t

Let the distance from Mary's standpoint be d

Mary

d = r * t

r = 1 mile / hour

t = ?

Ava

d = r*t

d for Ava = 10 - d

r = 4 mile / hour

Solution

10 - d = 4 * t

The time is the same for both people

Ava: divide both sides by 4

10/4 - d/4 = t

Mary

d = 1 * t

d = t

10/4 - d/4 = d        Add d/4 to both sides.

10/4 = d + d/4

10/4 = 5d / 4        Multiply both sides by 4

10 = 5d                Divide both sides by 5

10/5 = 5d/5

d = 2

Since from Mary we have d = t

They will meet in 2 hours.

What is the quotient? -4/5 ÷ 2​

Answers

-2/5. because -4/5 times 1/2 is -2/5
The answer for the problem is -0.4

Belinda's Great Dane is 74.Belinda's Great Dane is 74.9 cm tall and 225 cm long.
Write these lengths in metres.9 cm tall and 225 cm long. Write these lengths in metres.

Answers

Answer:

0.749m and 2.25m

Step-by-step explanation:

to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m

74.9cm/100= 0.749m and 225cm/100=2.25m

Determine the slope from the given graph below:

A • The slope is 5
B • The slope is -1/5
C • The slope is 7
D • The slope is -7

(I’ll give brainliest <3)

Answers

Slope is the change in Y over the change in x.

Use 2 points on the graph(x,y) to use to solev6.

(2,3) and (0,-7)

Slope = (-7 -3) / (0-2)

Slope = -10/-2

Slope = 5

Answer: A the slope is 5

sin(3x)+sin(x)=0 solve for x

Answers

Answer:

[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]

Step-by-step explanation:

Let's use the formulas that change a sum of two sines into a product:

[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]

[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]

At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]

or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]

with the usual condition of [tex]k\in \mathbb{Z}[/tex].

Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.

mario made a table with the rules below
rules
x - coordinate
start with 1 and multiply each term by 3

y- coordinate
start with 1 and add 3 to each term

anwer choices
a- (1,1) (3,4) (9,7)
b- (1,4) (3,6) (6,18)
c-(1,3) (3,9) (6,12)
d- (1,3) (1,4) (6,10)
e- (1,1) (3,3) (6,10)​

Answers

It will be option A. x - coordinate is 1. If we multiply 3 with 1, it will be 3. And if we multiply 3 with 3, it will be 9.y- coordinate is 1. If we add 3 with 1, it will be 4. And adding 3 with 4, we get 7.

Answer:

a- (1,1) (3,4) (9,7)

Hope you could get an idea from here.

Doubt clarification - use comment section.

5) The solution to 7X2 + 2X – 1 = 0 can be written as:

Answers

Answer:

2/7 or -30/7

Step-by-step explanation:

Use the quadratic formula

a = 7, b = 2, c = -1

-2 + or - (sqrt (2^2 - 4 * 7 * -1) / 2 * 7

-2 + or - 32/14

-2 + or -  16/7

2/7, or -30/7

Answer:

Step-by-step explanation:

7x² + 2x - 1 = 0

x = (-2 ±[tex]\sqrt{2^2 - 4(7)(-1)}[/tex] )/ (2(7))

x = (-2 ± [tex]\sqrt{32}[/tex] ) /14

x = (-2 ± 4[tex]\sqrt{2}[/tex] ) /14

x = [tex]\frac{-1}{7}[/tex] ± [tex]\frac{2}{7}[/tex][tex]\sqrt{2}[/tex]

When a liquid turns into a solid, which of the following also changes?

A: chemical composition

B: size of molecules

C: Mass

D: energy

Pls help

Answers

Answer:

D. Energy.

Step-by-step explanation:

Liquid is at a higher energy state than a solid.

When the liquid turns into a solid, then the energy gets changed. Then the correct option is D.

What is solidification?

When a liquid's temperature drops below its freezing point, a phase shift called freezing occurs, converting it from a liquid to a solid. According to the widely accepted definition, freezing refers to the liquid content of a substance changing from a liquid to a solid during a cooling process.

When a liquid's molecules slow down enough to attract one another into permanent positions as a solid, this process is known as freezing.

The term "single solidification point" refers to the temperature at which an alloy transitions from a completely liquid state to a fully solid state without traveling through a partially liquid state, meaning that no additional cooling is necessary to create a fully solid alloy.

The energy is altered as a liquid changes into a solid. D is the right answer in this case.

More about the solidification link is given below.

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Each time Cheryl runs, she runs 4 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 26 miles in a week. Write an equation that can be used to find out how many times Cheryl goes running each week.

Answers

Answer: 26 = 4x + 10 and Cheryl goes running four times per week.

Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.

The area of a square is s2, where s is the side length of the square. Jack has a square-shaped flower garden in his yard. Each side of the garden is 8 feet. What is the area of the flower garden?

Answers

Answer:

64 square feet

Step-by-step explanation:

A = s² = 8² = 8*8 = 64

(5x + 3) + (9x + 5)


Help!!!!!!!

Answers

i don’t know if you want it simplified or solved, but i got 14x+8!

Grapes are 2.55 per pound and on two separate occasions Dana went to the store to
buy grapes. The first time she went to the store she bought 3.25 pounds of grapes
and during the second visit to the store she purchase 1.25 pounds of grapes.
Rounded to the nearest cent, what is the total amount that Dana paid for the grapes?
$7.25
$12.35
$11.48
$7.05

Answers

Answer: $11.48

Step-by-step explanation:

First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.

Rewrite (7/9) ^-1 without an exponent

Answers

Answer:

(9/7)^1

Step-by-step explanation:

(7/9)^-1

use rule a^-b = 1/a^b

som

1/(7/9)^1

(9/7)^1

if susan subtracts 14 from one third of her number she gets 2

Answers

Answer:

Step-by-step explanation:

2 + 14 = 16 x 3 = 48

simplify help me to do this

Answers

Answer:

204

Step-by-step explanation:

90-5 (9-5 (9- (14-12) 3 ) ÷5

▪︎ First we have to solve the ones in the brackets ___ ( 14-12 ) which is e equal to 2

90-5 (9-5 (9- 2×3 ) ÷5 "the 3 comes inside the bracket coz we solved the previous one"

▪︎then we have to solve ( 9-2×3 ) which is equal to 3 _____ is 3 because if we go in the BODMAS way it will be

( 2×3 =6) , then... (9-6=3)

▪︎at the same time we can subtract 9-5 because we are done with the first bracket ( 9-5=4 )

90-5 (4×3)÷5

▪︎at the same time we can subtract 90-5 as well coz we are done with the first bracket ( 90-5=85)

▪︎then we can multiply (4×3) coz it's in the brackets (4×3=12)

85×12÷5

▪︎so then we hv to multiply 85 by 12 , then the answer is 1020

1020÷5

▪︎then divide (1020÷5=204)

☆90-5 (9-5 (9- (14-12) 3 ) ÷5

=90-5(9-5(9-2×3)÷5

=90-5(4×3)÷5

=85×12÷5

=1020÷5

=204

hope this helps☆☆☆

( sorry fr the long answer )

Can you please help me with number 16

Answers

good question i don’t know !

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Answers

Answer:

[tex]y = \frac{2}{3} x + 2[/tex]

Step-by-step explanation:

Start by finding the slope of the given line.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope of given line

[tex] = \frac{5 - ( - 1)}{ - 2 - 2} [/tex]

[tex] = \frac{5 + 1}{ - 4} [/tex]

[tex] = \frac{6}{ - 4} [/tex]

[tex] = - \frac{3}{2} [/tex]

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

[tex] - \frac{3}{2} m = - 1[/tex]

[tex]m = - 1 \div ( - \frac{3}{2} )[/tex]

[tex]m = - 1 \times ( - \frac{2}{3} )[/tex]

[tex]m = \frac{2}{3} [/tex]

[tex]y = \frac{2}{3}x + c[/tex], where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]

Midpoint of given line

[tex] = ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )[/tex]

[tex] =( \frac{0}{2} , \frac{4}{2} )[/tex]

= (0, 2)

[tex]y = \frac{2}{3} x + c[/tex]

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is [tex]y = \frac{2}{3} x + 2[/tex].

The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price.

Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)

Answers

Answer:

Step-by-step explanation:

First we need to find the 20% discount.

$32.99 x .20 = $6.598

The 20% discount is $6.59

We subtract the discount from the original price:

$32.99 - $6.59 = $26.40 (This is price after the discount.)

Now we need to find the amount of the sales tax on the discounted price.

$26.40 x .08 = $2.11 (This is the sales tax on the discounted price.)

The total price Andre paid is the discounted price plus the sales tax.

$26.40 + $2.11 = $28.51

Total price paid: $28.51

KisthemidpointofJL. If JK = 3x and KL = x + 8, what is JK?

Answers

Given: JK = 3x - 5, KL = 2x + 1

The sum of the segments JK and KL will equal the length of the segment JL = 16

So we can write:

3x - 5 + (2x + 1) = 16 [JK + KL = JL]

Collect terms, solve for x:

5x - 4 = 16

5x = 20

x = 4

JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7

Ans: 7

If a person walks 1/3 mile in 15 minutes, how far will that person walk in one hour?

Answers

Answer: 1 1/3 miles

Step-by-step explanation:

Since we know that an hour is 60 minutes, and 60 divided by 15 = 4, then we can multiply 1/3 times 4 to get the total number of miles in 60 minutes.

1/3 X 4 = 4/3

4/3 = 1 1/3

Therefore, the answer is 1 1/3 miles.

Answer:In an hour, a person will walk 4/3 mile.Step-by-step explanation:1/3 mile = 15 minutes=> 1/3 mile x 4 = 15 x 4 minutes=> 4/3 mile = 60 minutesConclusion:

Therefore, in an hour, a person will walk 4/3 mile.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

can someone please tell me these answers

Answers

Answer: For Y the rate of change is +4

For the rate of x its +5

Step-by-step explanation:

Sort the sequences according to whether they are arithmetic, geometric, or neither.

Answers

Answer:

arithmeticneithergeometricarithmeticgeometric

Step-by-step explanation:

Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.

The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.

__

98.3, 94.1, ... -- arithmetic (common difference = -4.2)

1, 0, -1, 0, ... -- neither

1.75, 3.5, ... -- geometric (common ratio = 2)

-12, -10.8, ... -- arithmetic (common difference = -1.2)

-1, 1, ... -- geometric (common ratio = -1)

Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...)  (-12,-10.8, -9.6,-8.4)

Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)

Neither (1,0,-1,0,...)

Step-by-step explanation:

I guarantee these are correct.

An element with mass 330 grams decays by 25.5% per minute. How much of the
element is remaining after 5 minutes, to the nearest 10th of a gram?

Answers

Answer:

After 5 minutes, it remains 75.73 grams of mass.

Step-by-step explanation:

Each minute, the mass is decreased by a 25.5%. So, we can find the mass after each minute period.

First minute.

330gr - 0.255 (330gr)= (330 - 84.15)gr = 245.85gr

Second minute.

245.85 - 0.255 (245.85) = 245.85 - 62.69 = 183.16gr

Third minute.

183.16 - 0.255 (183.16) = 183.16- 46.70= 136.45gr

Fourth minute.

136.45- 0.255 (183.16) - 136.45 - 34.80= 101.65gr

Fifth minute.

101.65 - 0.255 (101.65)= 101.65 - 25.92= 75.73gr

Therefore, after 5 minutes, it remains 75.73 grams of mass.

what is the value of x

Answers

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

First of all, the two blue angles (i painted on the image) are congruent since opposed to the vertex.

At this point the red angle is a right angle while the green one is 180°. At this point it's a simple system of linear equations:

[tex]\left \{ {{3x+7+y=90} \atop {5y+10+3x+7=180}} \right. \\\left \{ {{3x+y=83} \atop {3x+5y=163}} \right. \\\\15x+5y-3x-5y=415-163 \rightarrow 12x=252 \rightarrow x=21[/tex]

Nineteen less than twice a number is greater than the number added by four

Answers

Answer:

2x - 19 + x + 4

Step-by-step explanation:

2x - 19 + x + 4

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