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WARRIOR [948]
3 years ago
12

3 ⅕ -⅔ divided by 2 ⅘

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

\frac{14}{5} - \frac{2}{3} : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

\frac{32}{14} multiplied by \frac{5}{14}

thus, answer is 160/196

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A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 j
Oksana_A [137]

Answer: 2858.11 meters  

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Total energy =52,700 joules

Energy per second = 756 joules

Time = joules / (joules / sec) =52,700/756 =69.71 sec

Now, to find the distance:

Distance = speed rate x time

d = 41 meters/second x 69.71 sec = 2858.11 meters  

Feel free to ask for more if needed or if you did not understand something.  

4 0
3 years ago
Read 2 more answers
99pts WILL GIVE BRAINLIEST Use the diagram and given information to answer the questions and prove the statement. Given: X Z 
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julsineya [31]
I will base the figure from the one you attached in the other problem you posted. (Also attached here).

Statements [Reasons]
1. Angle X is congruent to Angle Z [Given]
2. Line XY is congruent to Line YZ [Given]
3. Angle Y is congruent to Angle Y [Congruence is reflexive]
4. Triangle XBY is congruent to Triangle ZAY [ASA]

ANSWER: The ASA (Angle Side Angle) Congruency Theorem could be applied.

8 0
3 years ago
(a + 3)(a - 2) I need help answering this but don't know the answer. Can someone please help?
SVETLANKA909090 [29]

(a+3)(a-2)

(a² -2a +3a - 6) =0

(a² + a - 6 ) = 0

Use splitting the middle term

a² + 3a - 2a - 6 = 0

a(a+3) - 2(a+3) = 0

(a-2)(a+3) = 0

Values of a are

a - 2 = 0

a = 2 .....(i)

a+3 = 0

a = -3 .....(ii)

3 0
3 years ago
Caroline surveyed 380 of the students in her school about their favorite color. 209 students said their favorite color was blue.
disa [49]

Answer:

55% of the students surveyed said their favorite color was blue

Step-by-step explanation:

\frac{209}{380} as a percent = 55%, or 0.55 in decimal form.

6 0
2 years ago
Brach and Larue is a home goods store chain, and it is about to introduce a new convection oven that’s expected to sell very wel
zvonat [6]

Answer:

\$12,465

Step-by-step explanation:

The functions for cost and revenue are given below:

Projected \:Revenue,R(x)=  -13.85x^2 + 1660x\\$Projected Cost, C(x)=55400 -279x\\Projected Profit = Revenue-Cost=R(x)-C(x)\\=-13.85x^2 + 1660x-(55400 -279x)\\=-13.85x^2 + 1660x-55400 +279x\\P(x)=-13.85x^2 + 1939x-55400

The profit will be maximized at its <u>line of symmetry,</u>x=-\dfrac{b}{2a}<u />

From P(x), a=-13.85, b=1939

<u>Line of symmetry,</u>

<u />x=-\dfrac{b}{2a}=-\dfrac{1939}{2(-13.85)}=70<u />

<u>The maximum profit that can be made will occur when x=70</u>

<u />P(x)=-13.85x^2 + 1939x-55400\\P(70)=-13.85(70)^2 + 1939(70)-55400\\=\$12,465<u />

The maximum profit that can be made form the sales of the oven is $12,465.

6 0
3 years ago
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