Tyra bought 4.5 pounds of strawberries. They cost $2.60 a pound. How much did she spend?

The total length of pencils A, B and C is 29 cm. Pencil a is 11 cm shorter then pencil B, and pencil B is twice as long a pencil

satela [25.4K]

The length of pencil A is 5 cm

Solution:

Let the length of pencil A be "x"

Let the length of pencil B be "y"

Let the length of pencil C be "z"

The total length of pencils A, B and C is 29 cm

Therefore,

length of pencil A + length of pencil B + length of pencil C = 29

x + y + z = 29 ------------ eqn 1

Pencil A is 11 cm shorter then pencil B

x = y - 11 ------- eqn 2

Pencil B is twice as long a pencil C

y = 2z

$z = \frac{y}{2}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

$y - 11 + y + \frac{y}{2} = 29\\\\2y + \frac{y}{2} = 29 + 11\\\\\frac{4y+y}{2} = 40\\\\5y = 80\\\\y = 16$

Substitute y = 16 in eqn 2

x = 16 - 11

x = 5

Thus length of pencil A is 5 cm

5 0

3 years ago

Can someone find x for these questions

Maurinko [17]

Answer:

8, 36, -12

Step-by-step explanation:

Q2

41 = 8x - 23

8x = 41 + 23

8x = 64

x = 8

Q4

11 = x/2 - 7

22 = x - 14

22 + 14 = x

x = 36

Q6

3(x - 8) = -60

x - 8 = -20

x = -12

8 0

2 years ago

(Pleave give the CORRECT answer, I will give out brainliest to this correct answer. Don't make up something to get brainliest be

Alex17521 [72]

Answer:

Size 50

Step-by-step explanation:

You should choose the larger sample size. This is because if you take the mean, it will help to cancel out outliers. For instance, most people exercise half an hour. With sample size of 10, there might be one person who doesn't exercise, thus dragging down the mean. A larger sample size would have a greater ratio of "average" people.

3 0

3 years ago

For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to ma

attashe74 [19]

Answer:

The correct answer to this question is A) 19 cubic feet of snow

Step-by-step explanation:

To solve this, use the equation V = 4/3 (π r^3) to get the volume of each. Then add all the volumes together: (1ft x3.14) + (2ft x3.14) + (3ft x3.14). You will get 19 cubic feet of snow. This is how much snow is needed to build the whole snowman.

7 0

3 years ago

The denominator of a fraction is 10 more than its numerator.

Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

$\frac{3(x+10)-15}{3(x+10)}$

Therefore, it becomes

$\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}$

Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$

Multiplying both sides by 3(x+10)

$3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5$

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

8 0

3 years ago