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2 years ago

Last Monday Peter gave his son $20.00 as a part of his son's weekly allowance. If the weekly

Mathematics

1 answer:

aev [14]2 years ago

7 0

Answer:

40% was given to him

Step-by-step explanation:

80/20 is 4.0

move the decimal

40.0

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16x - 5y = -33<br> 16x + y = -51

timofeeve [1]

Use the elimination process

6 0

2 years ago

Read 2 more answers

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

posledela

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

5 0

2 years ago

What is the product of the polynomials shown below?

Sindrei [870]

Answer:

B. 14x^3+39x^2+18x+20

Step-by-step explanation:

Given polynomials are:

$(7x^2+2x+4)(2x+5)\\For\ product\\(2x+5)(7x^2+2x+4)\\= 2x(7x^2+2x+4)+5(7x^2+2x+4)\\= 14x^3+4x^2+8x+35x^2+10x+20\\Combining\ alike\ terms\\= 14x^3+4x^2+35x^2+8x+10x+20\\=14x^3+39x^2+18x+20$

The product of given polynomials is:

14x^3+39x^2+18x+20

Hence, Option B is correct ..

8 0

3 years ago

Read 2 more answers

Kasey and Jordan are counting calories while eating lunch in the school cafeteria. In one week, Kasey had

malfutka [58]

Answer:

Jordan got 222 calories from pizza

Step-by-step explanation:

Given:

slices of pizza ate by Kasey =10

cups of fruit salad by Kasey= 5

slices of pizza ate by Jordan = 6

cups of fruit salad by Jordan= 7

Kasey's calorie count = 3070

Jordan calorie count = 2522

To Find:

calories Jordan got from pizza =?

Solution:

Let the calorie of one slice of pizza be x

and the calorie of one cup of fruit salad be y

According to the question, the equation that represents the Kasey's Scenario is

10x + 5y = 3070-------------------------------------(1)

Similarly the equation that represents the Jordan Scenario is

6x + 7y = 2522--------------------------------------(2)

multiply eq(1) by 6 we get

60x + 30y = 18420---------------------------------(3)

multiply eq(2) by 10 we get,

60x + 70y = 25220----------------------------------(4)

Subtracting eq (3) from (4) we get

60x + 70y = 25220

60x + 30y = 18420

(-) (-) (-)

-----------------------------------

0x + 40y = 6800

---------------------------------

=>40 y = 6800

=>y = $\frac{6800}{40}$

=> y = 170

So calorie of one cup fruit salad is = 170 calories

substituting the y values in eq 1 we get

10x + 5(170) = 3070

10x + 850 = 3070

10x = 3070 - 850

10x = 2220

x = $\frac{2220}{10}$

x= 222

So calorie of one pizza slice = 222 calories

Now we know that Jordan ate 6 slices of pizza

calories Jordan get from pizza = number of pizza he ate X calore per pizza slice

=> 6 x 222

=>1332 calories

6 0

3 years ago

D=Rt for D, if T=5 hours and R=65 mph

maks197457 [2]

You multiply those and you get d = 325 m

7 0

3 years ago