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3 years ago

Expanded form 3x(4-9)

Mathematics

1 answer:

ivanzaharov [21]3 years ago

6 0

Answer:

-15x

Step-by-step explanation:

1) distribute "3x" with each term inside the parantheses

3x*4

3x*-9

12x-27x=-15x

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At smith lake boat rentals it costs $25 per hour to rent a boat plus one time charge for cleaning. The bengal family rented a bo

vesna_86 [32]

Answer: the Jones family paid $164

Step-by-step explanation:

Let x represent the one time charge that smith lake boat rentals charge for cleaning.

The bengal family rented a boat from 11 am- 6:30pm and paid $226.50. This means that the number of hours for which they rented the boat is

11 - 6:30/= 7.5 hours

Therefore,

25 × 7.5 + x = 226.5

187.5 + x = 226.5

x = 226.5 - 187.5

x = $39

If the jones family rented a boat from 8am-1pm, the number of hours would be 5 hours.

The amount that they paid is

39 + 5 × 25 = 39 + 125

= $164

3 0

2 years ago

A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang

Ksju [112]

Answer:

$x^3+x^2-5x+28$

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses $\left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4$

2. apply +(-a)=-a rule $x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4$

3. Simplify

Steps to simplify:

$x^2x=x^3$

$3xx=3x^2$

$3\cdot \:4x=12x$

$7\cdot \:4=28$

$x^3+4x^2-3x^2-12x+7x+28$

4. Add like terms $=x^3+4x^2-3x^2-5x+28$

5. Add like terms $=x^3+x^2-5x+28$

6 0

2 years ago

Find the area of the shaded region.<br>pls do this with explanation.<br>

vladimir1956 [14]

Answer:

first find the area of the big rectangle = 12×14=168

area of the small unshaded rectangle =2×5×6=60

area of the shaded region = 168-60=108

6 0

2 years ago

Read 2 more answers

The base of a triangular prism is an isosceles right triangle with a hypotenuse of

Setler [38]

SA= Lateral Area + Area (of base)

Lateral area = perimeter of base x height

An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.

So 5 + 5 + square root of 50 is your perimeter

Multiply the perimeter times your height (8) and you get the lateral area.

Add your lateral area to the base area (triangle = 1/2 bh)

LA = 136.568...
Area of Triangle base = 12.5

Surface area = 149.068... square cm