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Nata [24]
2 years ago
15

1. A motorboat travels 196 meters in 20 seconds. What is the motorboat's unit rate of speed?

Mathematics
2 answers:
Grace [21]2 years ago
8 0

Answer:

9/4/5m/s

speed is equal to distance all over time. So196m/20s=9/4/5m/s

dezoksy [38]2 years ago
3 0

Answer:

196: 9.8

20: 1

x= 9.8 meters in 1 second

Step-by-step explanation:

This can be determined by following writing equal ratios that represent a word problem. Then, the denominator must be divided from the numerator to get the unit rate/ meters per second.

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What is 4/5 of 2? write answer in decimal form.?
mylen [45]

The decimal form of 4/5 is .8, which can also be written as 0.8 or 0.80.Fractions can be converted into decimals using a calculator or by doing the math manually

5 0
3 years ago
NEED HELP ASAP Need someone to explain how to do this
DIA [1.3K]

Answer:

Oh cool! The answer is 90 since a and c or parallel, b cuts through them perpendicularly, forming a right angle.

Step-by-step explanation:

6 0
3 years ago
Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.  Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).

We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80.  Subtracting the $2179 principal results in the interest earned:  $755.80.

5 0
3 years ago
If x2 - y2 = 12 and x - y = 4, what is the value
ira [324]

Step-by-step explanation:

x²-y²=12

(x-y)(x+y)=12

but x-y=4

4(x+y)=12

x+y=12/4

x+y=3

lets make x the subject of the formula

x=3-y

since x-y=4

(3-y)-y=4

3-y-y=4

-2y=1

y=-1/2

then x=3-y

x=3-(-1/2)

x=(6--1)/2

x=7/2

therefore; x²+2xy+y

=(7/2)²+2×7/2×-1/2+(-1/2)

=49/4-7/2-1/2

=(49-14-2)/4

=33/4

=8.25

=8

6 0
3 years ago
Zach is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certai
Alexandra [31]

Answer:

Zach earns $10 and for the pair of boots Zach earns $15

Step-by-step explanation:

Let be x the number of pairs of shoes

Let be y the number of pairs of boots

Then we can establish the following system of equations with the data of the statement:

5x + 9y = 185 \\7x + 9y = 205

We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:

7x+9y-5x-9y=205-185\\2x=20\\x=\frac{20}{2}\\x=10

For y replacing in the first equation the value of x and solving for y:

5.10 + 9y = 185\\9y=185-50\\y=\frac{135}{9}\\y=15

So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15

Please mark be as brainliest if you found this helpful. please

7 0
2 years ago
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