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BaLLatris [955]
3 years ago
10

I need to know the steps to simplify 15.7 + (-3.45)

Mathematics
2 answers:
V125BC [204]3 years ago
7 0
The answer to 15.7+(-3.45) is12.25
faust18 [17]3 years ago
5 0
U call it keep change change. keep 15.7. change it to subtract and change -3.45 to just 3.45 (positive not negative)
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3 friends were at a Mexican Restaurant. They were feeling hungry, so they ordered 8 burritos to eat. They want to share the burr
Alla [95]

Answer:

8/3 or 2 and 2/3

Step-by-step explanation:

7 0
3 years ago
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g The fencing of the left border costs $10 per foot, while the fencing of the lower border costs $2 per foot. (No fencing is req
klio [65]

Answer:

Area = 1690ft^2\\x = 130ft, y = 26ft

Step-by-step explanation:

Given the costs we can form an equation:

10y + 2x =520 - Eq(A)

and fencing is triangular such that the area enclosed can be written as:

A = \dfrac{xy}{2} -Eq(B)

  • First need to convert the above equation so that it is only in terms of one variable. [either x or y]

To make the equation only in terms of x we can substitute y from Eq(A) i.e, y =\frac{520-2x}{10}, to Eq(B)

A = \dfrac{x}{2} \dfrac{520-2x}{10}

simplify

A = \dfrac{520x - 2x^2}{20}

A = -\dfrac{1}{10}x^2 + 26x

  • Now, in order to find the maximum area enclosed we can find \frac{dA}{dx} and equate it zero.

\dfrac{dA}{dx} = -\dfrac{1}{5}x + 26

0 = -\dfrac{1}{5}x + 26

-26 = -\dfrac{1}{5}x

x = 130

we have the length of one dimension: specifically, the lower fence will be x =130ft

we can use this value of x to find the corresponding value of y. From Eq(A)

10y + 2x =520

10y +2(130) = 520

y = \dfrac{520 - 2(130)}{10}

y = 26

the length of the left fence will be y =26ft

  • The enclosed area by the fence will be

A = \dfrac{xy}{2}

A = \dfrac{(130)(26)}{2}

A = 1690

Hence the maximum area that can enclosed by the fences provided the costs will be 1690ft^2

  • You can even check the cost of the dimensions whether they all add up to $520 or not.

Use Eq(A)

10y + 2x =520

10(26) + 2(130) =520

and indeed it does!

5 0
3 years ago
I NEED HELP ASAP<br> "Find the measure of each angle in the following diagram"
weeeeeb [17]

Answer:

Each angle is 60°

Step-by-step explanation:

The 2 angles are equal to each other because they're alternate exterior angles:

10x - 20 = 7x + 4

10x - 7x = 4 + 20

3x = 24

x = 8

10x - 20

10(8) - 20

80 - 20

60

Since these angles are exterior angles, their angle measures are equal so they both are 60°

5 0
3 years ago
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Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal compon
Genrish500 [490]

Answer:

4.45 m/s

Step-by-step explanation:

Vertical distance, Sy = 5m

The speed of pebble when they hit her window :

Vx = Sx / t

We can obtain t using the relation :

Sy = 1/2 * at²

Where, a = acceleration due to gravity = 9.8m/s²

We can obtain t

5 = 1/2 * 9.8 * t²

5 = 4.9t²

t = √5/4.9

t = 1.01 seconds

Hence,

Speed, Vx = Sx / t

Vx = 4.5 / 1.01

Vx = 4.45 m/s

6 0
3 years ago
Can someone please help me with this question
nasty-shy [4]

Answer:

Step-by-step explanation:

The four sides of the quadrilateral touches the circle. This means that the opposite angles of the quadrilateral are supplementary.

It means that the sum of the angles is 180 degrees From the given diagram,

Angle B + angle R = 180

Angle B = 180 - 85

Angle B = 95 degrees

Angle D + angle I = 180

Angle D = 180 - 117

Angle D = 63 degrees

7 0
3 years ago
Read 2 more answers
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