You are building a rectangular deck. The area of the deck should be 250 ft.² . You want the lengths of the deck to be 5 feet longer than twice its width. What should the dimensions of the deck be?

Answers

Answer 1

Answer: et the width be x
"the length of the deck to be 5 ft longer than twice its width" --- >length = 2x+5

then
x(2x+5) = 250
2x^2 + 5x - 250 = 0
(x - 10)(2x + 25) = 0
x = 10 or x is a negative, which makes no sense

width = 10
length = 25

check:
is the length 5 more than twice the width ?? yes
is the area 250 ? yes

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Kerri is making doll clothes for a holiday craft the wholesale cost of the materials for one outfit is 9.38 if she sells an outfit for 15 what is the percent of markup round to the nearest percent

Answers

Answer:

The markup is the difference between the selling price and the cost price, divided by the cost price, then multiplied by 100 to get a percentage.

The difference between the selling price and the cost price is $15 - $9.38 = $5.62.

So, the percent of markup is ($5.62 / $9.38) x 100 = 59.91%.

Rounding to the nearest percent, we get 60%. So, Kerri is marking up the doll clothes by 60%.

A 2 1/2 -pound bag of grass seed covers 1/8 of an acre. How much grass seed is needed for 1 acre? Type as whole number.

Answers

Step-by-step explanation:

1 acre times 2 1/2 lb per 1/8 acre

1 * ( 2 1/2 / 1/8) = 20 pounds

Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham’s arms are 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cable continues to lift him higher. Hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. Which system of equations can be used to model this situation?A) h=18+1.5t
h=5+24t-16t^2

B) h=18+1.5t
h=5+24t+16t^2

C) h=18+1.5t
h=5+24t

D) h=18t+1.5t-16t^2
h=5+24t-16t^2

Answers

Answer: Hello there!

this type of equations in one dimension (when all the factors are constants) are written as:

h = initial position + initial velocity*t + (acceleration/2)*t^2

First, let's describe the hunter's equation:

We know that Graham moves with a velocity of 1.5 ft/s, and when he is 18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.

If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:

h = 18 + 1.5t

where t in seconds.

Now, the equation for the ball:

We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)

the equation for the ball is:

h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2

So the system is:

h = 18 + 1.5t

h = 5 +24t - 16.1t^2

so the right answer is A

Answer:

Step-by-step explanation:

EDGE 2020

4 An alloy is a mixture of metals. Most of the gold used in jewellery is an alloy of pure gold and other metals which are added to make the gold harder. Pure gold is 24 carats (ct), so 18 carat parts pure gold 18 gold is an alloy of gold and other metals in the ratio 18:6. In other words, 18/24 parts pure gold and 6/24 other metals. a. A jeweller makes an 18 ct gold alloy using three grams of pure gold. What mass of other metals does she add?
b . An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain? c. What is the ratio of gold to other metals in 14 ct gold?
d. What is the ratio of gold to other metals in 9 ct gold?

Answers

To calculate the mass of other metals in each scenario, we need to use the given ratios.

Given:

- Pure gold is 24 carats (ct).

- 18 carat gold is an alloy of gold and other metals in the ratio 18:6 (18/24 parts pure gold and 6/24 other metals).

a. A jeweller makes an 18 ct gold alloy using three grams of pure gold. What mass of other metals does she add?

First, let's find the mass of other metals in the 18 ct gold alloy.

18 ct gold contains 18/24 parts pure gold and 6/24 parts other metals. So, if the jeweller uses 3 grams of pure gold, the amount of other metals in the alloy can be calculated as follows:

Mass of other metals = (6/24) * 3 grams

Mass of other metals = (1/4) * 3 grams

Mass of other metals = 3/4 grams

b. An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain?

Similarly, for the 18 ct gold chain containing 4 grams of pure gold:

Mass of other metals = (6/24) * 4 grams

Mass of other metals = (1/4) * 4 grams

Mass of other metals = 4/4 grams

Mass of other metals = 1 gram

c. What is the ratio of gold to other metals in 14 ct gold?

For 14 ct gold, the ratio of gold to other metals is 14:10 (since 14 + 10 = 24, and gold is 14 out of 24 parts, while other metals are 10 out of 24 parts).

d. What is the ratio of gold to other metals in 9 ct gold?

For 9 ct gold, the ratio of gold to other metals is 9:15 (since 9 + 15 = 24, and gold is 9 out of 24 parts, while other metals are 15 out of 24 parts).

What is y =2x 5 in standard form?

Answers

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.Ax+By=CA⁢x+B⁢y=CMove 2x2⁢xto the left side of the equation because it contains a variable.y−2x=5y-2⁢x=5Amust be positive, so multiply both sides of the equation by −1−1⋅(y−2x)=−1⋅5-1⋅y-2⁢x=-1⋅5Simplify the left side of the equation.Multiply −1-1by y−2xy-2⁢xto get −1(y−2x)-1⁢y-2⁢x.−1(y−2x)=−1⋅5-1⁢y-2⁢x=-1⋅5Apply the distributive property.−1y−1(−2x)=−1⋅5-1⁢y-1⁢-2⁢x=-1⋅5Simplify.Rewrite −1y-1⁢yas −y-⁢y.−y−1(−2x)=−1⋅5-⁢y-1⁢-2⁢x=-1⋅5Multiply −2-2by −1-1to get 22.−y+2x=−1⋅5-⁢y+2⁢x=-1⋅5Reorder −y-⁢yand 2x2⁢x.2x−y=−1⋅52⁢x-⁢y=-1⋅52x−y=−1⋅52⁢x-⁢y=-1⋅52x−y=−1⋅52⁢x-⁢y=-1⋅5Multiply −1-1by 55to get −5-5.2x−y=−52⁢x-⁢y=-5

Find a solution to the inequality x > 7.

Answers

you must isolate the x in order you must divide both of each sides of the inequality by the other variable or coefficients.

Here, x > 7 itself is a solution. It represents x must be less than the 7

Hope this helps!

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