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3 years ago

Pls translate the verbal phrase into an algebraic expression

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

Okay. So we are talking of twice the sum of 13 and x, which signals the distributive property. The sum means add. It is not greater than 15, so it can be less than or equal to, but not greater. Based off the problem, the expression would be 2(13 + x) ≤ 15.

Svetllana [295]3 years ago

7 0

2(13+x) < or equate to 15

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A company rents storage sheds shaped like rectangular prisms. Each shed is 13 feet long, 7 feet wide, and 10 feet tall. The rent

vovikov84 [41]

The volume is (13ft x 7 ft x 10 ft) cubic feet.

Each of those cubic feet costs $5 .

You should have no trouble with this.

3 0

4 years ago

A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 16 ft less than the length

KATRIN_1 [288]

Let's say the length of the ladder is "d". Since the distance from the bottom of the ladder to the building is 16 feet less than the length, we can write this as d - 16.

The distance from the ground to the top of the ladder is 2 feet less than the length of the ladder, so we can denote this as

d - 2.

The shape made by the ground, ladder, and side of the building is a right triangle, and we just found its legs. We can use the Pythagorean Theorem to solve for "d" and find how far up the side of the building the ladder is:

(d - 16)^2 + (d - 2)^2 = d^2

(d^2 - 32d + 256) + (d^2 - 4d + 4) = d^2

2d^2 - 36d + 260 = d^2

d^2 - 36d + 260 = 0

(d - 26) * (d - 10) = 0

d = 26 or d = 10

The answer d = 10 does not fit in this case because it isn't possible to have 16 feet less of 10 feet; it would be negative!

So, d = 26. The top of the ladder to the ground is 2 less than d, so we do 26 - 2 = 24 feet.

The answer is 24 feet.

5 0

3 years ago

Read 2 more answers

1. A population of tropical fish is decreasing at an annual rate of 6% per year. (a) Write an equation to represent the total po

Alinara [238K]

P(t) = Po(1 - 0.06)^t
where Po is the initial population.

Monthly rate of decrease = 6%/12 = 0.5%

3 0

3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)

stiv31 [10]

9514 1404 393

Answer:

2x +y = -2

Step-by-step explanation:

The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.

The slope of the line through the given points is ...

m = (y2 -y1)/(x2 -x1)

= (5 -(-1))/(4 -(-8)) = 6/12 = 1/2

The slope of the required bisector is then ...

m = -1/(1/2) = -2

The midpoint of the given segment is ...

((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)

Then the point-slope form of the equation of the bisector is ...

y -y1 = m(x -x1)

y -2 = -2(x -(-2))

y = -2x -4 +2

y = -2x -2 . . . . . . . slope-intercept form equation

2x +y = -2 . . . . . . . standard form equation

6 0

3 years ago

Suppose your statistics instructor gave six examinations during the semester. You received the following grades (percent correct

zheka24 [161]

Answer:

15 samples

Step-by-step explanation:

The total sample space consists of 6 items

{79,64,84,82,92,77}

So,

n=6

The instructor has to randomly select 2 test scores out of 6.

So, r=6

The arrangement of scores selection doesn't matter so combinations will be used.

$C(n,r)=\frac{n!}{r!(n-r)!} \\C(6,2)=\frac{6!}{2!(6-2)!}\\=\frac{6!}{2!*4!}\\=\frac{6*5*4!}{2!*4!} \\=\frac{30}{2}\\=15\ ways$

Therefore, there are 15 different samples are possible without replacement ..

7 0

3 years ago