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musickatia [10]

2 years ago

9

Paul spent $13 on writing utensils. Pens cost $3 each and pencils cost $1 each. If he bought a total of 7, how many of each did

he buy?

2 answers:

Zolol [24]2 years ago

7 0

3 pens and 4 pencils.
$3x3=$9
$1x4=$4
$9+$4=$13

dem82 [27]2 years ago

3 0

The answer is 3 pens and 4 pencils. Hope this helps

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You have a garden in your backyard that measures 15 meters by 20 meters. You want to place stepping stones around the perimeter

Anettt [7]

Answer:

0.5 m

Step-by-step explanation:

Given that the dimensions of the garden are 15 meters by 20 meters.

The area of the new garden (original garden + stone placed around the perimeter) is 336m².

Let d be the width of the border having stepping stones as shown in the figure. The shaded region in the figure is the area having stepping stones.

The area including the shaded region $= (15+2d)(20+2d) m^2$

$\Rightarrow 336 = (15+2d)(20+2d) \\\\\Rightarrow 336 = 300+ 70 d +4d^2 \\\\\Rightarrow 4d^2 +70d+300-336=0 \\\\\Rightarrow 4d^2 +70d-36=0 \\\\\Rightarrow 2d^2 +35d-18=0 \\\\\Rightarrow 2d^2 +36d-d-18=0 \\\\\Rightarrow (2d-1)(d+18)=0 \\\\\Rightarrow (2d-1)=0, \; or \; (d+18) \\\\\Rightarrow d= 0.5\;or -18 \\\\$

As the width of the stone border can't be a negative value, so taking the positive value.

Hence, the width of the stone border is 0.5 m.

So, the wi

7 0

3 years ago

A cylinder with a radius of 3 feet and a height of 5 feet is shown. What is the volume of the cylinder, in cubic feet?

irina1246 [14]

Answer:

V = 141.37 $ft^{3}$

Step-by-step explanation:

4 0

3 years ago

Determine the coordinates of the x-intercept of 3x – 4y = 24.

Mars2501 [29]

The definition of an x intercept is when y equals 0. If y were to equal 0, you would have 3x -4(0)= 24, which is equal to 3x - 0 = 24. Using the addition property of equality, you would add 0 to both sides, and get 3x = 24. Finally, using the division property of equality, you have x = 8. So the coordinates of the x intercept would be (8,0), as your y was defined as 0. Hope this helps. Let me know if you have any questions about my explanation and feel free to ask more questions.

6 0

3 years ago

Read 2 more answers

Substitution of y= 4x-3 3x-2y=16

bearhunter [10]

Answer:

(-2,-11)

Step-by-step explanation:

3x-2(4x-3)=16

3x-8x+6=16

-5x=10

x=-2

Plug back in

y=4(-2)-3

y=-8-3

y=-11

4 0

3 years ago

Read 2 more answers

Solve for x. Write the smaller solution first, and the larger solution second. (2x-1)(x+4)=0 smallerX- largerX-

Vilka [71]

Answer:

Two solutions were found :

x = -4

x = 1/2 = 0.500

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(2x - 1) • (x + 4) = 0

Step 2 :

Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : 2x-1 = 0

Add 1 to both sides of the equation :

2x = 1

Divide both sides of the equation by 2:

x = 1/2 = 0.500

Solving a Single Variable Equation :

2.3 Solve : x+4 = 0

Subtract 4 from both sides of the equation :

x = -4

Two solutions were found :

x = -4

x = 1/2 = 0.500

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plz mark me as brainliest :)

8 0

3 years ago

Read 2 more answers