8 Black pencils cost 15e cach and coloured
pencils cost 2lc cach. Ir 24 pencils cost
$4,02, how many of them were black (Hint
let there be + black pencils. Thus there are
24 – x coloured pencils. Work in cents.)
of

Answers

Answer 1

Answer:

17 black pencils

Step-by-step explanation:

Cost of black pencils; 15 cents each

Cost of colored pencils; 21 cents each

We are told that 24 pencils cost $4.02 = 402 cents

Let black pencils be x and let colored pencils be y.

Thus;

x + y = 24 - - - (eq 1)

Also,

15x + 21y = 402 - - - (eq 2)

From eq 1, y = 24 - x

Thus putting it in eq 2 gives;

15x + 21(24 - x) = 402

15x + 504 - 21x = 402

504 - 402 = 6x

x = 102/6

x = 17


Related Questions

In September, Louise planted a tree. Every month, the tree Louise planted grew 2 inches. What would the constant of proportionality of the line be?​

Answers

Answer:

1/2

Step-by-step explanation:

Tree grow 2 inches per month

Let :

Month = m ; height increase, h

m α h

m = kh

k = proportionality constant

Where ; m = 1 ; h = 2

1 = 2k

1/2 = 2k/ 2

k = 1/2

Answer:1/2

Step-by-step explanation:

Tree grow 2 inches per month

Let :

Month = m ; height increase, h

m α h

m = kh

k = proportionality constant

Where ; m = 1 ; h = 2

1 = 2k

1/2 = 2k/ 2

k = 1/2

Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

Answers

Answer:

A

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

I'm not sure how to figure this out

Answers

9514 1404 393

Answer:

  10°, 80°

Step-by-step explanation:

Setup

Let x and y represent the measures of the two acute angles in the right triangle.

From your knowledge of right triangles, you know the two acute angles are complementary:

  x + y = 90

The problem statement gives you another relation:

  x = 2(y + 30) . . . . twice the sum ...

__

Solution

The second equation gives you an expression for x that can be substituted into the first equation.

  (2(y +30)) + y = 90

  3y +60 = 90 . . . . . . . . collect terms

  3y = 30 . . . . . . . . . subtract 60

  y = 10 . . . . . . . . divide by 3

  x = 2(y +30) = 2(40) = 80

The two angles are 10° and 80°.

What is JL brainliest for answer

Answers

Answer:

JL = 12.5

Step-by-step explanation:

[tex] In\: \triangle JKL, KM\perp JL[/tex]

Therefore, by geometric mean property:

[tex] KM^2 = JM\times ML[/tex]

[tex] 6^2 = 8\times ML[/tex]

[tex] 36 = 8\times ML[/tex]

[tex] \frac{36}{8} = ML[/tex]

[tex]ML= 4.5 [/tex]

JL = JM +ML

JL = 8 + 4.5

JL = 12.5

Circumference

What is the circumstances
Please help me and thnx u if u help me on this

Answers

Answer:

35.19

Step-by-step explanation:

equation is : C=2πr

[tex] \Large \underline{\tt Given} :[/tex]

Diameter of circle, d = 5.6 cm

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

Circumference = ?

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

As, we have diameter of circle is 5.6 cm and radius is half of diameter.

[tex] \tt : \implies Radius, r = \dfrac{d}{2}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{5.6 \: cm}{2}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{\cancel{56} \: cm}{10\times \cancel{2}}[/tex]

[tex] \tt : \implies Radius, r = \dfrac{28 \: cm}{10}[/tex]

[tex] \tt : \implies Radius, r = 2.8 \: cm[/tex]

[tex] \\ [/tex]

Now, for Circumference :

[tex] \Large \underline{\boxed{\bf{Circumference = 2\pi r}}}[/tex]

[tex] \tt : \implies Circumference = 2 \times \dfrac{22}{7} \times 2.8 \: cm[/tex]

[tex] \tt : \implies Circumference = \dfrac{44}{\cancel{7}} \times \dfrac{\cancel{28}}{10} \: cm[/tex]

[tex] \tt : \implies Circumference = 44 \times \dfrac{4}{10} \: cm[/tex]

[tex] \tt : \implies Circumference = \dfrac{176}{10}\: cm[/tex]

[tex] \tt : \implies Circumference = 17.6\: cm[/tex]

[tex] \\ [/tex]

Hence, circumference is 17.6 cm.

what is 6(-4k-2)??????????​

Answers

Answer:

-24k - 12

Step-by-step explanation:

6(-4k - 2)

-24k - 12

Answer: 36k

Step-by-step explanation: 6(-4k-2) The u disrtube the 6 into ach number in teh perenteces making 6x-4= -24 and 6x2=12 whichs changes the problem to -24-12 which is equal to 36k. Hope this helps :)

.............................

Answers

Both answers

Answer:

A=9mm

B= 293

Solve and show your work. 3(x-4) = 12x

Answers

Answer:

Please refer to the attachment

3(x-4) = 12x
distribute the 3
3x-12 = 12x
subtract 3x from both sides
-12 = 9x
divide both sides by 9
-12/9 = x
simplify
-4/3 = x

8. (13 96)- - (15-03) + (18-09) -32-65= ?
(a) 223
264
(c) 334​

Answers

Answer:

sorry I'm here because I want points

Step-by-step explanation:

sorry


A recipe
needs 250g of butter to make 4 small
cakes. Olav wants to make 10 cakes. He has
1 kg of butter. How much butter will be have
10 cakes ? how much butter will be have
left over after he has made 10 cakes?

Answers

Answer:

375g

Step-by-step explanation:

250g = 4

X = 10

Cross Multiply

2500=4x

Divide both sides by x

x=625

1000-625

375g left

which of the following equations is an example inverse variation between the variables X and Y?

A.
[tex]y = \frac{x}{8} [/tex]
B.
[tex]y = \frac{8}{x} [/tex]

C.
[tex]y =8x[/tex]
D.
[tex]y = x + 8[/tex]

Answers

Answer:

B y=3/x From the given options option B is  showing  inverse variation between the variables x and y.

Answer:b

Step-by-step explanation:

Simplify
(4z+9)-(3z-9

Answers

Answer:

z+18

Plz give brainliest

Step-by-step explanation:

Answer:

z+18

Step-by-step explanation:

4z+9-3z+9

z+9+9

z+18

At the West Street Bakery, 1/6 of the dessert case holds pies. There are 4 equal size shelves.


Which fraction of the West Street Bakery’s dessert case is taken up by 1 pie shelf?


1/4

2/3

1/24

5/6

Answers

Answer:

1/4 or 1/24

Step-by-step explanation: I am not sure but try and if you get it rong I am sorry

Answer:

Im thinking the answer is 1/24.

Step-by-step explanation:

1/6 divided by 4

6 x 4 = 24

4 x 6 = 24

if you put a fraction first, the answer will be a fraction.

Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide.
a. She wants to know how many square feet of sod she will need to completely cover the yard. Draw the yard, and label the measurements.
b. How much sod will Heather need to cover the yard?
c. If each square foot of sod costs 65 cents, how much will she have to pay to cover her yard?

Answers

hope this helps you!

10 points
Find the lateral area and the total surface area of the net. (The bases of
the figure have been shaded.)
14 cm
16 cm
13.5 cm
13.5 cm
A. The lateral area of the rectangular prism is 1258 sq cm. The (total) surface area is
826 sq cm.
B. The lateral area of the rectangular prism is 826 sq cm. The (total) surface area is
1258 sq cm.
C. The lateral area of the rectangular prism is 413 sq cm. The (total) surface area is
629 sq cm
D. The lateral area of the rectangular prism is 629 sq cm. The (total) surface area is
413 sq cm

Answers

13cm because i took the test

Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.What is the value of –112.84 – 54.14 – (–29.18)?

Answers

Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?He estimated that he had about $7 worth of groceries.He estimated that he had about $9 worth of groceries.He estimated that he had about $10.30 worth of groceries.He estimated that he had about $10.40 worth of groceries.What is the value of –112.84 – 54.14 – (–29.18)?Total cost would be $10.37 which is $(10.37 - 10) = $0.37 higher than the amount given to him by his mother.

why does he look so off

Answers

He’s a cocain addict. They snort them Poland bro

He on that good shi...............

Gary’s bank account dropped $5 in value every day for 4 days. Find the integer that represents the change in value of his stock during that time.


1. $20
2. -$20

Answers

Answer:

- 20

Step-by-step explanation:

5x4 = 20

price drops so negative

Answer:

2

Step-by-step explanation:

-$5 * 4 = -$20

Dropping in value is negative

Laura's new car cost her $21,000. She was told that this make and model depreciates
exponentially at a rate of 8 5/8% per year. How much will her car be worth after 100
months?

Answers

Answer: 9,903.32

Step-by-step explanation: 1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

The value of Laura's car will be $9,903.32 after 100 months.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order.

1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

Learn more about the Percentage here:

https://brainly.com/question/24877689

#SPJ2

Pedro is getting balloons for his grandmother's birthday party. He wants each balloon string to be 12 feet long. At the party store, string is sold by the yard. If Pedro wants to get 52 balloons, how many yards of string will he need? 1 foot = 1 3 yard

Answers

Answer:

Total length of string required in yards [tex]8112[/tex] yards

Step-by-step explanation:

The length of the string attached with each balloon is equal to [tex]12[/tex] feet

In the party total number of balloon used is equal to [tex]52[/tex] balloons

The total length of the string required

Length of string used in one balloon * total number of balloons

[tex]= 12 * 52 = 624[/tex] feet

1 feet is equal to 13 yards

Total length of string required in yards [tex]13 * 624 = 8112[/tex] yards

please please help me i need it

Answers

Answer:

3 and 1/2 cups

Step-by-step explanation:

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

1 batch = 1 1/2 cup of flour

[tex]1\frac{1}{2} +1\frac{1}{2}+1 \frac{1}{2}[/tex]

add the whole numbers and the numerators

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

simplify

[tex]4\frac{1}{2}[/tex]

What is the height of the cylinder if the volume is 250 and the base is 8

Answers

Answer:

it's 31 8÷250

Step-by-step explanation:

8÷250 have a nice day

Find the measure of

Answers

Answer:

119

Step-by-step explanation:

because if u see <EAC AND<BAD. are vertical so if u add 62°to 57° or adds up to 119

0.000009 in scientific notation.

Answers

9x10^-6 because it’s 6 units to the left.

Answer:

9^-6

Step-by-step explanation:

HELP ME PLS HURRY PLEASE PLEASE

Lucy solves 1.8 ÷ 0.3 using the work below.
Lucy's work is incorrect. Explain Lucy's mistake and write what the correct answer should be. Please write your response in complete sentences.

Answers

Answer:

Lucy's mistake is that she didn't move the decimal in 1.8 as well. The correct answer should be 6.

Step-by-step explanation:

Since Lucy multiplied 0.3 by 10, she also needed to multiply 1.8 by 10 to keep the equation proportional.

1 slope y-intercept equation o 6 5 4 3 2 2 3 5 j-intercept​

Answers

Answer:

Step-by-step explanation:

(-1,1) and (0,-2) are points on the line

slope of line = (-2-1)/(0-(-1)) = -3

y-intercept = -2

y = -3x - 2

solve the problem down below:



ty :P

Answers

-3/2

use the rise over run method

algebraic fractions
42xyz/56

Answers

Answer:

 3xyz

 ————

  4  

HURRRRYYYYY PLEASEEE

Answers

Answer:

5,6,-7

Step-by-step explanation:

yuh jsjsksmsksksks

Answer:

5,6,7

Step-by-step explanation:

A coefficient is a number multiplied by a variable.


In parallelogram HIJK, the meſsure of angle H is 57 degrees. What is the
measure of angle K? Explain how you know. *
Your answer

Answers

Answer:

is 31

Step-by-step explanation:

cuz  u have to divdie  it to get your  answer.

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