Could someone please help me :<br> Simplify the algebraic expression: 10p

Madison had $187.56 in her checking account. She deposited $49.73 and then used her debit card to spend $18.64. What is Madison'

MrRa [10]

187.56 - 46.73 then subtract 18.64
simple

5 0

4 years ago

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Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'. On a coordinate plane, 2 parallelograms are shown. Parallelogra

Naddika [18.5K]

Answer:

The answer is below

Step-by-step explanation:

Which statements are true about the parallelograms? Check all that apply.

The length of side MN is 2 units.

The length of side M'N' is 5 units.

The image is smaller than the pre-image.

Sides MQ and M'Q' both have the same slope, 1.

The scale factor is 2/5

a) The length of side MN is determined using the formula:

$|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-2)^2+(-2-(-2))^2}=\sqrt{2^2}=2\\ \\ |MN|=2$

The first option is correct

b) The length of side M'N' is determined using the formula:

$|M'N'|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(10-5)^2+(-5-(-5))^2}=\sqrt{5^2}=2\\ \\ |M'N'|=5$

The second option is correct

c) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q' , hence parallelogram M'N'P'Q' is bigger that parallelogram MNPQ. This means that The image is bigger than the pre-image.

The third option is wrong

d) The slopes are given as:

$Slope\ of\ MQ=\frac{Change\ in\ y}{Change\ in\ x}=\frac{1-2}{-3-(-2)} =1\\ \\Slope\ of\ M'Q'=\frac{Change\ in\ y}{Change\ in\ x}=\frac{3-5}{-7-(-5)} =1\\$

Option four is correct

e) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q', hence the scale factor is 5/2

Option 5 is wrong

6 0

3 years ago

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There are two aircraft carriers, A and B, and the carrier A is longer in length the carrier B. The total length of these two car

Svetradugi [14.3K]

Answer:

<h3>Length of carrier A = 2096 feet</h3><h3> Length of carrier B=2082 feet.</h3>

Step-by-step explanation:

Given , two air craft carriers are A and B . The carrier A is longer than the carrier B in length.

Total length of two carriers =4178 feet

Difference of two carriers = 14 feet

Let

Length of carrier A =x feet

And

Legth of carrier B =y feet

According to question

The I equation is

x+y=4178

The II equation is

x-y= 14

Substitution method: In this method step I : we find value of x or y from the equation I

Step II: put the value of x or y in II equation then we get the value of another varaiable x or y

Step : Again put the obatined value of variable x or y from step II in equation I then we get value of other variable x or y .

By using substitution method ,

we find value of x from equation I

x= 4178-y

Now, put the value of x in equation II then we get

4178-y-y=14

4178-2y=14

4178-14=2y

4164=2y

$y=\frac{4164}{2}$

y= 2082

Again , put the value of y in equation I

2082 +x=4178

x= 4178-2082

x=2096

Hence, the length of carrier A = 2096 feet

The length of carrier B= 2082 feet

4 0

3 years ago

If the length of FH is 18 units, what is the value if x

Lyrx [107]

Answer:

The value of x is 3

Step-by-step explanation:

Given that the length of FH is 18 units

we have to find the value of x.

Point G lies between F and H in which measurements are

$\text{FG=4x and GH=2x}$

$FH=4x+2x=6x\thinspace units$

$6x=18$

Divide by 6 throughout the equation.

$x=\frac{18}{6}=3$

The value of x is 3 cm.

Option 1 is correct.

4 0

3 years ago

The mass of 4 large zucchini is about 2 kilograms. About how many grams will 1 large zucchini have?

scoundrel [369]

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem:

-<span>The mass of 4 large zucchini is about 2 kilograms.

2. Then, you have:

1 kilogram-----1000 grams
2 kilograms--..x

x=2x1000/1
x=2000 grams

3. Then, you have:

4 large zucchini----2000 grams
1 large zucchini----x

x=2000/4
x=500 grams

The answer is: 500 grams

</span>

3 0

4 years ago

Could someone please help me : Simplify the algebraic expression: 10p - 5c + 2p + 8c