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Ivahew [28]
2 years ago
15

Can you help me with this it’s so confusing plz help me with both is this

Mathematics
1 answer:
mars1129 [50]2 years ago
5 0

Answer:

First picture: -4,913

Second picture: 20.25

Step-by-step explanation:

-17^5/-17^2 = -17^3

-17 × -17 × -17 = -4913

4.5^5/4.5^3 = 4.5^2

4.5 × 4.5 = 20.25

Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)

The exponents were those tiny numbers you saw.

Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.

When you multiply the same whole number, you can add the exponents.

Hope this helps! Best of luck :)

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one tamk of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of
Zarrin [17]

Answer:

20 gallons were used from the tank with the octane rating of 80.

Step-by-step explanation:

Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.

To find : How many gallons should be used from the tank with the octane rating of 80?

Solution : Let x be the volume of gas whose octane rating is 140 and

y be the volume of gas whose octane rating is 80.

Then, we form the equation as:

(1) x\times140 + y\times80 = 60\times120

140x+80y = 7200

or  7x+4y = 360 .........[3]

(2) x + y = 60

Now multiply equation (2) by 4  

4x + 4y = 240 ...........[4]

Subtract (4) from (3)  

7x+4y-4x-4y=360-240

3x=120

x=\frac{120}{3}

x=40

Put x in equation [4] we get,

4(40) + 4y = 240

160 + 4y = 240

4y = 80

y=\frac{80}{4}

y=20

Therefore, x=40 and y=20

So, 20 gallons were used from the tank with the octane rating of 80.






7 0
3 years ago
Find the value of y.
mixas84 [53]

Answer:

y=9

Step-by-step explanation:

3 0
3 years ago
Points C and D divide the semicircle into three equal parts. Match the angles with their measures.
Tresset [83]
∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°

We start out with the fact that points C and D split the semicircle into 3 sections.  This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).

Since it forms a straight line, ∠BAE is 180°.

Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.

We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
7 0
3 years ago
Read 2 more answers
9 + 4 to the third power x (20-8) / 2 + 6
harkovskaia [24]

1110.5 is the answer and your welcome

5 0
2 years ago
The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians. What is the area of the shaded sector? 32Pi u
Tems11 [23]

Answer:

<em>96π units²</em>

Step-by-step explanation:

Find the diagram attached

Area of a sector is expressed as;

Area of a sector = θ/2π * πr²

Given

θ = 3π/4

r = 16

Substitute into the formula

area of the sector = (3π/4)/2π * π(16)²

area of the sector = 3π/8π * 256π

area of the sector = 3/8 * 256π

area of the sector = 3 * 32π

<em>area of the sector =96π units²</em>

5 0
3 years ago
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