A box of candy contains three times as many cherry pieces. It hasfour more grape pieces than cherry pieces. There are 46 total pieces in the box. How many cherry pieces are in the box

Answers

Answer 1

Answer:

The number of cheery pieces in the box are [tex]18[/tex].

Step-by-step explanation:

Let the number of orange pieces in the box be [tex]x[/tex].

The box contains three times as many cherry pieces as orange pieces.

So, the number of cherry pieces in the box be [tex]3x[/tex].

It has four more grape pieces than cherry pieces.

So, the number of grape pieces in the box be [tex]3x+4[/tex].

There are [tex]46[/tex] total pieces in the box.

So, [tex]x+3x+3x+4=46[/tex]

[tex]\Rightarrow 7x+4=46[/tex]

[tex]\Rightarrow 7x=46-4[/tex]

[tex]\Rightarrow 7x=42[/tex]

[tex]\Rightarrow x=\frac{42}{7}[/tex]

[tex]\Rightarrow x=6[/tex]

So, the number of cherry pieces [tex]=3x=3\times 6=18[/tex].

Hence, the number of cheery pieces in the box are [tex]18[/tex].


Related Questions

Arianna runs up 4 flights of stairs then runs down 4 flights of stairs. Does this situation represent additive inverses

Answers

Answer:

Yes because she ends up back at zero

If the ratio of blue eyed students to non-blue eyed students is 7 to 12, about how many students would have have blue eyes out of 50 students ? A.29 B.18 C.85 D.45

Answers

Answer:

18

Step-by-step explanation:

the ratio of blue eyed students to non-blue eyed students is 7 to 12,

Total ratio = 7+12=19

Total student= 50 students

Ratio of blue eyes student= 7/19 ×50

=18.4

Hence, there are approximately 18 students with blue eyes.

Two less than six times a number is the same as thirteen more than a number. Find the number.​

Answers

6x - 2 = x + 13
Subtract x
5x - 2 = 13
Add 2
5x = 15, x = 3
Solution: the number is 3

Verify the identity.
Tanx^2/secx= sinxtanx

Please answer this :) I will give brainliest, I’m struggling big time

Answers

Answer:

from left hand side:tan^2/secx=(,sin^2x/cos^2x)/(1/cosx)=sin^2x/cosx=sinx×sinx/cosx=sinx.tanx=right hand side.verified.

factor 3x^2 + 10x +8

Answers

Answer:

(x+2)(3x+4)

Step-by-step explanation:

I think that the answer is (3x + 4)

(x + 2)

explain how you will find the sum of 4.2 and 2.14

Answers

Answer:

you find the sum by adding a "0" at the end of "4.2" and the stack add them (or however you can add them).

Step-by-step explanation:

 4.20

+ 2.14

=  6.34

Andre’s group was asked to write an expression equivalent to 5 p squared q + 7 p q squared minus 10. When Ms Berger checked their answers, she found only one to be correct. Who had the correct answer?

Answers

Answer:

Andre's group

Step-by-step explanation:

Who knows how to do this I TRULY NEED HELP

Answers

it’s 59°
cause 74+47=121
180-121=59

a. Use the domain and range of each of the following relations to determine which is a function. {(3, -3), (9, - 6), (0, -9) b. (3. - 3), (9,- 6), (3 , -9) c. {(3. – 3), (9, - 6), (9,2). (0, -9) ] d. {3, 9, 0, - 4) Please select the best answer from the choices provided A B C D​

Answers

Answer:

A.

Step-by-step explanation:

The domain is the x values, the range is the y values. The x values are not supposed to repeat and give different y values.

The five marathon runners weigh an average weight of 92 pounds, Nicole weighs 89 pounds, Jon weighs 95 pounds, Jenny and Kim weigh 90 pounds each, How much does Jordin weigh?

Answers

Answer:

Jordin weighs 96 pounds

Step-by-step explanation:

The Mean Value of a Data Set

The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:

[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]

Where xi is the value of each data and n is the total number of values.

We are given the average weight of n=5 marathon runners:

[tex]\bar x=92[/tex]

Multiplying the formula by n and expanding the sum:

[tex]n\bar x=\sum x_i=x_1+x_2+x_3+x_4+x_5[/tex]

We are given the weighs of four of the runners:

[tex]5*92=89+95+90+90+x_5[/tex]

[tex]460=364+x_5[/tex]

Solving for x5:

[tex]x_5 = 460-364=96[/tex]

Jordin weighs 96 pounds

what is 41,250 written in scientific notation​

Answers

Why is 41,250 written as 4.125 x 104 in scientific notation?

4.125 x 104 is the answer

Isabel ran for president of the chess club, and she received 12 votes. There were 15 members in the club. What percentage of the club members voted for Isabel?

Answers

Answer:

80%

explanation:

just looked up "what percentage is 12 out of 15 and it gave me an answer"

just do this for all ur other questions like this

x + 6 ≥ 4 and 3x + 5 ≤ 5

Answers

The first one is x >-2 and the second is x<0

Renting roller blades costs a flate fee of $5 plus an additional $2.50 per hour. Write a linear equation that models this.

Answers

Answer:

Linear equation : y = 2.50h + 5

Step-by-step explanation:

Given that:

Fee for renting roller blades = $5

Per hour charges = $2.50

Let,

h be the number of hours roller blades were rented

y be the total amount

Total amount = Per hour charges * Number of hours + Flat fee

y = 2.50h + 5

Hence,

Linear equation : y = 2.50h + 5

The perimeter of Square three is 20.4 square units in the perimeter of square two is 27.2 square units what is the area of square one

Answers

Answer:

a=554.88

Step-by-step explanation:

20.4*27.2=

Find the AREA for J(2,4) K(3,-4) L(-2, 4) M(-1,-4)

Answers

Answer:

23

Step-by-step explanation:

Solve the compound inequality 5 < k -2 < 11

Answers

Answer:

7 < k < 13

Step-by-step explanation:

5 < k -2 < 11

5 < k -2 < 11

+2 + 2 +2

—————————— ( Add 2 to all parts )

7 < k < 13

Solve for x. I need help :,) thank you if you help!

Answers

Answer: if its a multiple of a 345 triangle then its congruent x is 36 if othersides ate multiples of 20 ie

Sides are

60 80 100 is a 345 right triangle

Step-by-step explanation:

What is the volume of a rectangular box that measures 3 by 8 by 20 inches?
488 cubic inches
0 480 cubic inches
O 31 cubic inches
O 44 cubic inches

Answers

480 cubic inches should be the answer
I really don’t know sorry

Is (-2,-3) a solution of the graphed system of inequalities? yes or no

Answers

Answer:

yes

Step-by-step explanation:

Need help ASAP giving 35 points and giving a branliest

Answers

Answer:

B. 1 1/9 ft³

Step-by-step explanation:

Sides of the prism:

2*1/3 = 2/3 ft3*1/3 = 1 ft5*1/3 = 5/3 ft

Volume:

2/3*1*5/3 = 10/9 = 1 1/9 ft³


The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.

Answers

Answer:

The diagram shows a right-angled triangle.

14 cm

hcm

47°

What is the value of h?

Give your answer correct to 1 decimal place.

19.1

y=x+3
y=x-3
Solve these equations​

Answers

Answer:

what is x?

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

2x-4(x-1)=10
I keep getting -3 but I know it's not right

Answers

I do think that it is -3 tho

Answer:

Step-by-step explanation:

2x=10+4

2x=14

14/2 = 7

X=7

2x-8y=16 solve for x

Answers

Answer:

x=8+4y

Step-by-step explanation:

Add 8y to both sides:

2x=16+8y

Divide both sides by 2:

x=8+4y

100000 times 846,000 =

Answers

Answer:

84600000000

Step-by-step explanation:

Answer:8460000000

Step-by-step explanation:

Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]

b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]

Answers

Answer:

a) 3√3b) √7

Step-by-step explanation:

a)

7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3

b)

5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√7

2347800 in scientific notation

Answers

Answer:

2.3478 x 10^6

Step-by-step explanation:

What is the length of the hypotenuse of ABC

Answers

Answer:

c=√(a²+b²)

C is hypotenuse

How do you write 1/12 as a decimal?

Answers

Answer:

I think it's 0.083

Step-by-step explanation:

Answer:

0.0833333 (3 is repeating)

Step-by-step explanation:

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