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irakobra [83]
3 years ago
9

Simplify the following expressions -5(-7x + 4 + 9y) ​

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer:

35x-45y-20

Step-by-step explanation:

-5(-7x+4+9y)

distribute the 5:

35x-20-45y

To put this in order, variables first so:

35x-45y-20

Hope this helps:)

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The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters , find
tensa zangetsu [6.8K]
P = perimeter = 2L + 2W = 86 cm.  Also, L = W + 4.  Subst. W + 4 for L, 

P = 2(W + 4) + 2W = 86 cm.  Then 2W + 8 + 2W = 86 cm, and 4W = 78 cm.

Finally solving for W, W = (78 cm)/4, or 19.5 cm.

If W = 19.5 cm, then L = W + 4 cm = 19.5 cm + 4 cm = 23.5 cm

The rectangle's dimensions are 19.5 cm by 23.5 cm.
6 0
2 years ago
Help me please this is due today :((<br> Show all work for it pleaseee
Rudik [331]

Answer:

Length C, B= 90 mi

Step-by-step explanation:

The small square in the corner in any shape always represent 90°

<em>Hope it helps!!</em>

5 0
2 years ago
Will mark most brainlest if correct
lutik1710 [3]

Answer: each guest gets 4.19 cm²

Step-by-step explanation:

The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle

π is a constant whose value is 3.14

r represents the radius of the circle.

From the diagram,

r = 4cm

Therefore, area of the cake that he cut for himself is

120/360 × 3.14 × 4²

= 16.75 cm²

The total area of the cake is

3.14 × 4² = 50.24 cm²

Therefore, the rest of the cake is

50.24 - 16.75 = 33.49 cm²

The amount that each guest gets would be

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8 0
2 years ago
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Nataliya [291]

Answer:

Volume of original toolbox = 180 in³

Yes, doubling one dimension only would double the volume of the toolbox.

Step-by-step explanation:

Volume = L x W x H

10 x 6 x 3 = 180 in³

proof:

double length = 20 x 6 x 3 = 360 in³, which is double the original

double width = 10 x 12 x 3 = 360 in³, which is double the original

double height = 10 x 6 x 6 = 360 in³, which is double the original

7 0
3 years ago
Read 2 more answers
Find the equivalent exponential expression. [(-4)^5]^3
Sunny_sXe [5.5K]

Answer:

-4^{15}

Step-by-step explanation:

Given expression:

\left[(-4)^5\right]^3

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies (-4)^{(5 \times 3)}

\implies (-4)^{15}

\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:

\implies -4^{15}

4 0
1 year ago
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