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3 years ago

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Crayons come in packs of 25 and markers come in packs of 10. Marcus wants to have the same amount of markers and crayons. What i

s the fewest amount of packages of each he needs to buy to have the same amount fo each

1 answer:

Trava [24]3 years ago

4 0

Answer:

5 packs of markers and 2 packs of crayons

Step-by-step explanation:

they will both have 50

You might be interested in

In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins. (a) The

Kay [80]

Answer:

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

Z score = 2.05607

Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.

(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.

= 298 wins

Step-by-step explanation:

In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins.

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

x = 103 wins, μ = 81 wins, σ = 10.7

z = 103 - 81/10.7

z = 2.05607

Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.

(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the above question, we are asked to find the number of wins, this means we should find the raw score = x

z = 20.28, x = ? μ = 81 , σ = 10.7

Hence,

20.28 = x - 81/10.7

Cross Multiply

20.28 × 10.7 = x - 81

216.996 = x - 81

x = 216.996 + 81

x = 297.996

x is approximately 298 wins

Therefore, the number of wins for the Chicago White Sox for 2016 is approximately 298 wins

4 0

3 years ago

ms.morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound.how much did she pay for th

Tanzania [10]

3.5*0.51 = 1.785
4.5*1.19 = 5.355
1.785 + 5.355 = 7.14
Ms Morgan paid $7.14c for the bananas and pineapples.

4 0

3 years ago

Read 2 more answers

A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

3 years ago

In an ore, 9.8% of its total weight is metal. How many pounds of metal are in 1,950 lb of ore?

Fudgin [204]

Answer

Find out the how many pounds of metal are in 1,950 lb of ore .

To proof

let us assume that the pounds of metal are in 1,950 lb of ore be x .

As given

In an ore, 9.8% of its total weight is metal.

ore weight = 1,950 lb

9.8% is written in the decimal form

$= \frac{9.8}{100}$

= 0.098

Than the equation becomes

x = 0.098 × 1950

x = 191.1 pounds

Therefore the 191.1 pounds of metal are in 1,950 lb of ore .

Hence proved

5 0

3 years ago

The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis

Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

<u>For the Martinez family;</u>

2a + 3c = $60

<u>For the Wright family;</u>

3a + 5c = $95.5

Thus, the simultaneous equations are;

$2a + 3c = $60$ ..........equation 1

$3a + 5c = $95.5$ .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

<em>Substituting the value of "a" into equation 1, we have;</em>

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

<em>Substituting the value of "c" into the equation, we have;</em>

$2a + 3(11) = 60$

$2a + 33 = 60$

$2a = 60 - 33$

$2a = 27$

$a = \frac{27}{2}$

a = $13.5

<em>Therefore, the cost of an adult movie ticket is $13.5. </em>

5 0

2 years ago