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2 years ago

Which expression is equivalent to 10 102 50 502

Mathematics

1 answer:

pogonyaev2 years ago

3 0

Answer:

$10$

Step-by-step explanation:

$\sqrt{100} \\ \sqrt{10 \times 10} \\ = 10$

hope this helps

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good luck! have a nice day!

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Triangle ABC has vertices A (1,1), B (3,2) and C (0,-2), It is dilated by a scale factor of 1/2 about the origin to create trian

Ghella [55]

Answer:

The length is 2.5 units

Step-by-step explanation:

Before we find the value of the length of the side, we need the measure of the coordinates after dilation

B’ = 1/2 B = 1/2(3,2) = (1.5, 1)

C’ = 1/2 C = 1/2( 0,-2) = (0,-1)

The measure of the length is the distance between the two points

Mathematically, that would be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(0-1.5)^2 + (-1-1)^2

D = √(2.25 + 4)

D = √6.25

D = 2.5 units

8 0

2 years ago

Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.

Arturiano [62]

Answer:

A. When Rita started, she had 7 packages of saplings.

B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

When Rita started, she had 7 packages of saplings.

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0

3 years ago

Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi

ANEK [815]

Answer:

They charged $6 for washing and $2 for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

$5x+4y=38\ \ \ \ \ equation\ 1$

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

$4x+2y=28\ \ \ \ \ equation\2$

Now multiplying equation 2 by '2', we get;

$2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3$

Now we subtract equation 1 from equation 3 and get;

$(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6$

Now substituting the value of 'x' in equation 1, we get;

$5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2$

Hence They charged $6 for washing and $2 for vacuuming the car.

8 0

3 years ago

Help me please as soon as possible

SIZIF [17.4K]

If each case weighs 24 pounds, then 1p=24 pounds. so if we're trying to find a function of weight, p=24c.

Example: When you have 2 cases, you plug in a 2 for c

p=24c
p=24(2)
p=48

So if you have two cases, it will total 48 pounds,

So that is why the equation is p=24c. Hope this helps!

6 0

2 years ago

Which set of ordered pairs represents a function?

Georgia [21]

Answer:

the second one

Step-by-step explanation:

in order for it to be a function the x values CANNOT repeat.

in answer a the x value -6 repeats so that cannot be a function

in answer b none of the x values repeat so its probably this one but lets check the other ones just in case

in answer c the x value 8 repeats so it cannot be this one

in answer d the x value -2 repeats so it cant be this one \

b is the only one that does have repeating x values therefore it is the second one

6 0

2 years ago

Read 2 more answers