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2 years ago

Explain how comparing 645 and 738 is different from comparing 645 and 649

1 answer:

6 0

Its different because when u add 645 and 738 it equals 1,382 and when u add 645 and 649 it equals 1,294 so 1,382 is the greater number and its different from 1,294<span />

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Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho

yarga [219]

Answer:

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

- <u>2t + 2h = 174</u>

<u />

Therefore, she made 17 three point shots.

4 0

3 years ago

PLEASE ANSWER ASAP! ANSWER MUST MUST MUST MMMMUUUUSSSSTTTTTT INCLUDE AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIES

Aleks [24]

The answer is 4/7. see it from the multiple of 3...3*4 =12 and 3*7= 21. So this is the answer: 4/7.

4 0

3 years ago

A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

2 years ago

Simplify the expression. Rewrite using only positive exponents.

Dvinal [7]

The simplified form of the given expression is $x^{18}a^{3}b^{3}$ .

The given expression is $(\frac{x^{4}a^{2}b^{3} }{x^{-2}ab^{2}} )^{3}$ .

We need to simplify the given expression.

<h3>What are the basic laws of exponents?</h3>

The basic laws of exponents are as follows:

$a^{m} \times b^{m} =(ab)^{m}$

$a^{m} \div b^{m} =(\frac{a}{b} )^{m}$

$a^{m} \times a^{n} =(a)^{m+n}$

$a^{m} \div a^{n} =(a)^{m-n}$

Now, $(\frac{x^{6}a^{2}b^{3} }{ab^{2}} )^{3}=(\frac{x^{18}a^{6}b^{9} }{a^{3}b^{6}} )$

$=x^{18}a^{3}b^{3}$

Therefore, the simplified form of the given expression is $x^{18}a^{3}b^{3}$ .

To learn more about the exponents visit:

brainly.com/question/26296886.

#SPJ1

4 0

1 year ago

the value of a famous painting is increasing at a rate of 6% per year and has a value of 800000 in the year of 2000. what is the

rjkz [21]

I'm not 100% sure but I think this is how you solve it:
1. 800,000 x 0.06 = 48,000
2. 48,000 x 17 = 816,000
3. 800,000 + 816,000 = 1,616,000
The painting is worth $1,616,000 in 2017.

3 0

2 years ago