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3 years ago

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Caroline drew the blueprints of her new kitchen on a coordinate plane. The coordinates of the four corners of her square kitchen

are (2, 4), (-10, 4), (-10, -8), and (2, -8). How many units long is one wall of her kitchen? If needed, create a graph to help answer the question.

1 answer:

olga nikolaevna [1]3 years ago

8 0

Answer:

the wall of her kitchen is 12 units long

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Evaluate the function rule for the given value. f(x)=3^x for x=-5

FromTheMoon [43]

Answer:

$\frac{1}{243}$

Step-by-step explanation:

using the rule of exponents

$a^{-m}$ ⇔ $\frac{1}{a^{m} }$

f(- 5) = $3^{-5}$ = $\frac{1}{3^{5} }$ = $\frac{1}{243}$

6 0

3 years ago

A group of 485 people take a canoe trip. They fill up all avalible canoes that each hold 3 people with 273 people. The rest of t

Jobisdone [24]

Answer:
3c=273
c=91
2c= 212
C= 106
c= 91+ 106= 197
so they will need 197 canoes total

Why:
So first you have to determine a set variable to represent the number of canoes, I chose C. Then you make an equation to represent the number of canoes 273 people will use if they group into 3's, from this I got 3c=273. Solve for C and get 91.
The remainder of the group which is 485-273= 212 will use canoes in groups of 2's. To represent this, 2c=212. Solve for C and get 106. Combine 106 and 91 to get the total number of canoes.

4 0

3 years ago

Read 2 more answers

Can someone plzz help me you got to zoom in !!!

daser333 [38]

1. 140 - The reason it would be one 40 is honestly a really simple explanation. Is the ratio of boys to girls in 7-2 and the amount of girls is 40. That means that per 1 number, is 20 people since 40 divided by 2 is 20. So if I do 2 x 7 that would be 140.

2. I didnt really understand this one sorryyy.

3. 1200 (same rule applies) - Since The ratio is 1:11 and the 1 represents 100 beans. If I doo 100 x 11 that would be 1100, then I would add the 1100 to the 100 (from the 1) and that would be 1200.

4. 6:7 - If I do 650 - 350 that would be 300. Which means the ratio would be 300:350. But once simplified the answer would be 6:7.

5. 1:2 - 720 - 240 is 480. Therefore the ratio would be 240:480. Once simplified, the ratio is 1:2.

Hope this helped. Good luck!!! xo

3 0

3 years ago

Read 2 more answers

Help me plz and explain your answer to me

Vlad1618 [11]

Answer:

$4.171\times10^6$

Step-by-step explanation:

Given:

First Number = 97

Second Number = $4.3\times10^4$

We need to find the product of two numbers in Scientific notation.

Product of two numbers means we need to multiply two number.

Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.

Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.

Number of decimal point moved needs to be counted. This number is b.

If decimal are moved to the left b is positive.

If decimal are moved to the right b is negative.

If decimal are not moved b = 0.

scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."

Hence the product is;

$97\times4.3\times 10^4 = 417.1 \times 10^4$

Expressing in Scientific Notation form we get

$4.171 \times 10^6$

Hence the Answer is $4.171 \times 10^6$ .

3 0

3 years ago

a total of $21,000 is invested in two bonds that pay 4% and 7.5% simple interest. The bond with 7.5 % interest rate earned 6 tim

hjlf

21000=a+b
ax.075xt=6xbx.04xt
t cancels out
a=3.2b
21000= 3.2b+b
21000=4.2b
b=5000
a=16000

account with 7.5% had 16000 invested in it.
account with 4% had 5000 invested in it

4 0

3 years ago