Pls answer picture is below

Find the difference: (20x + 3) - (7x - 5) *

OlgaM077 [116]

Answer:

27x - 2

Step-by-step explanation:

First off, we use commutative property to get the like terms together.

(20x + 7x) - (3-5)

Now we can solve the equations inside the parenthesis.

27x - (-2)

Because these aren't like terms, this is as far as we can go. Meaning 27x - 2

is out answer.

3 0

2 years ago

Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

ASHA 777 [7]

Answer:

Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits

Step-by-step explanation:

7 0

2 years ago

Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94. The average of her last t

Bingel [31]

Answer: The average of the first two test scores is 97.

Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.

We are to find the average score of her first two tests.

Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.

Then, according to the given information, we have

$\dfrac{a1+a2+a3+a4+a5}{5}=94\\\\\Rightarrow a1+a2+a3+a4+a5=94\times5\\\\\Rightarrow a1+a2+a3+a4+a5=470~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$\dfrac{a3+a4+a5}{3}=92\\\\\Rightarrow a3+a4+a5=92\times3\\\\\Rightarrow a3+a4+a5=276~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Subtracting equation (ii) from equation (i), we get

$(a1+a2+a3+a4+a5)-(a3+a4+a5)=470-276\\\\\Rightarrow a1+a2=194\\\\\Rightarrow \dfrac{a1+a2}{2}=\dfrac{194}{2}\\\\\Rightarrow \dfrac{a1+a2}{2}=97.$

Thus, the average of the first two test scores is 97.

6 0

2 years ago

GEOMETRY!!!! CLICK ON THE PICTURE

Helga [31]

Answer:

#1 - Two complementary angles with measures that have a sum of 90.

#2- angles with a common vertex and side.

#3 - two supplementary angles with measures that have a sum of 180.

#4 - the region of a plane inside an angle

#5 - the region of a plane outside an angle

#6 - an angle with a measure of anything less than 90 degrees.

#7 - an angle with a measure of anything greater than 90 degrees.

These all should be right :)

Lmk how I did!

7 0

2 years ago

A company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less n

BartSMP [9]

Answer: Tunnel tent.

Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft

= $3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 32\sqrt{ 3}$

= $247.425625842\approx 247.43\text { square ft}$

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

= $8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]$

= $64 + \pi\times 48$

= $64 + 3.14\times 48$

= $214.72\text { square ft}$

Since, 214.72 < 247.43

Thus, Tunnel tent requires less nylon to manufacture.

4 0

3 years ago