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3 years ago

In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt?

2 answers:

6 0

Let shirts be x and ties be y
3x+5y=$60 Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39 Equation 2 (Equation 2 will be denoted by !)
*x2 6x + 10y = $120
!x3 6x + 9y = $117
*-! y = 120-117 =3

Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15

Shirts are $15

jek_recluse [69]3 years ago

3 0

Answer:

the answer is C $15.00

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Solve the equation for x.

PIT_PIT [208]

Get unknowns on one side and know on other side.

Divide both sides by -2
X= -7

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2 years ago

You separate 42 bulbs of garlic into two groups:one for planting and one for cooking. You will plant 3 bulbs for every 4 bulbs t

alexira [117]

Answer:

144 cloves

Step-by-step explanation:

You separate 42 bulbs of garlic into two groups:one for planting and one for cooking.

We have a ratio of planting to cooking

Planting : Cooking

You will plant 3 bulbs for every 4 bulbs that you will use for cooking.

Hence: 3 : 4

The total of their proportion = 3 + 4 = 7

Hence:

The number of garlic you plant =

3/7 × 42 = 18 bulbs of garlic

The number of garlic you use to cook =

4/7 × 42 = 24 bulbs of garlic

We are also told that:

Each bulb has about 8 cloves. How many cloves of garlic will you plant?

From the calculation above , we know the number of bulbs of garlic been planted

= 18 bulbs.

Hence:.

1 bulb = 8 cloves

18 bulbs = x

x = 8 cloves × 18 bulbs

x = 144 cloves

Therefore, you will plant 144 cloves of garlic

6 0

3 years ago

The square root of 35.017 is between which two integers

ivann1987 [24]

The square root is between 187 and 188

6 0

2 years ago

How do you factorize p2 + 2p - 3 =0

julia-pushkina [17]

Answer:

Solution

p = {-3, 1}

Step-by-step explanation:

Simplifying

p2 + 2p + -3 = 0

Reorder the terms:

-3 + 2p + p2 = 0

Solving

-3 + 2p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.

(-3 + -1p)(1 + -1p) = 0

Subproblem 1

Set the factor '(-3 + -1p)' equal to zero and attempt to solve:

Simplifying

-3 + -1p = 0

Solving

-3 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -1p = 0 + 3

-1p = 0 + 3

Combine like terms: 0 + 3 = 3

-1p = 3

Divide each side by '-1'.

p = -3

Simplifying

p = -3

Subproblem 2

Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying

1 + -1p = 0

Solving

1 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -1p = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -1p = 0 + -1

-1p = 0 + -1

Combine like terms: 0 + -1 = -1

-1p = -1

Divide each side by '-1'.

p = 1

Simplifying

p = 1

Solution

p = {-3, 1}

4 0

3 years ago

Crayola makes 3 red crayons for every 2 brown crayons. On Tuesday, their factory made 1,000 more red crayons than brown. How man

miskamm [114]

Answer:

They make 2000 brown crayons on that day.

Step-by-step explanation:

Given:

Crayola makes 3 red crayons for every 2 brown crayons.

On Tuesday, their factory made 1,000 more red crayons than brown.

Now, to find the number of brown crayons they make that day.

Let the numbers of brown crayons be $x.$

So, the number of red crayons = $1000+x.$

As given, 3 red crayons for every 2 brown crayons.

So, the ratio is 3:2.

Thus, 3 is equivalent to 2.

So, 1000+ $x$ is equivalent to $x.$

Now, to get the number of brown crayons by using cross multiplication method:

$\frac{3}{2} =\frac{1000+x}{x}$

By cross multiplying we get:

$3x=2000+2x$

Subtracting both sides by 2 $x$ we get:

$x=2000.$

Therefore, they make 2000 brown crayons on that day.

7 0

3 years ago