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Elina [12.6K]
3 years ago
15

Which is a good comparison of the estimated sum and the actual sum of 7 7\8 + 2 11\12

Mathematics
2 answers:
navik [9.2K]3 years ago
6 0
Estimate: 8+3 or 11.
Actual Sum: 10 76/96 or 10 19/24
sasho [114]3 years ago
3 0
Seven and seven eighths rounds up to eight. Two and eleven twelfths rounds to three. Estimate equation: 8+3=11. Now you know your answer should be around 11. Then to find your actual answer you have to find the common denominator! If u need anymore help ask me! Hope I helped!
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The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?
vladimir1956 [14]

Answer:

100 is larger, that is your answer.

Step-by-step explanation:

First, we know that all supplementary angles add to 180°. Then, since the angles are in the ratio 4:5, we can also represent these angles as 4x and 5x respectively. Both angle measures have the same variable (x) because no matter how large the angles are, they must have a common multiple because they are in a ratio. We can then write the formula 4x+5x=180 and solve for x. First, you combine like terms to get 9x=180. The you divide both sides by 9 to get x=20. Then, we can find both angles to be 80 (4*20) and 100 (5*20) by plugging them into 4x and 5x. Since 100 is larger, that is your answer.

I hope this helps.

7 0
4 years ago
Someone help me please thanks
Verizon [17]
The rate of change is about 1 mm. 

7 0
4 years ago
What is the slope for (2,-1) and (6, -1)
Ronch [10]

Answer:

m=0

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, -1)

Point (6, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-1+1}{6-2}
  2. Add/Subtract:               m=\frac{0}{4}
  3. Divide:                          m=0
5 0
3 years ago
Two airplanes are carrying food and medical supplies to a country in need. One airplane is carrying 63 meals and 57 medical kits
Tju [1.3M]

Answer:

63m + 57k = 714 ____________ (1)

78m + 57k = 789 ____________(2)

The price of one meal is $5

Step-by-step explanation:

Let the price of one meal be m.

Let the price of one medical kit be k.

One airplane is carrying 63 meals and 57 medical kits and the total cost for those supplies on that airplane is $714.

This means that:

63m + 57k = 714 ____________ (1)

The other airplane is carrying 78 meals and 57 medical kits and the total cost for the supplies on that airplane is $789.

This means that:

78m + 57k = 789 ____________(2)

We now a system containing two linear equations that can be used to solve to problem:

63m + 57k = 714 ____________ (1)

78m + 57k = 789 ____________(2)

To find the price of one meal, we subtract equation (1) from (2) and simplify:

 78m + 57k = 789

<u>- 63m + 57k = 714 </u>_

  15m  = 75

=> m = 75 / 15 = $5

The price of one meal is $5

6 0
3 years ago
Find the surface area of figure. Round answer to nearest hundredth if necessary. Thank you!!
Crazy boy [7]

Answer: Surface area = 29.32 inches²

Step-by-step explanation:

The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.

The formula for determining the area of a triangle is expressed as

Area = 1/2 × base × height

Base = 2 inches

Height = 2 inches

Area = 1/2 × 2 × 2 = 2 inches²

Area of the 2 triangular faces

= 2 × 2 = 4 inches²

The area of the two equal rectangles is

Area = 2 × 2 × 4 = 16 inches²

To determine the width, w of the rectangular base, we would apply Pythagoras theorem.

Hypotenuse ² = opposite side² + adjacent side²

w² = 2² + 2²

w² = 4 + 4 = 8

w = √8 = 2.83

Area of the rectangular base is

2.83 × 4 = 11.32 inches²

Surface area = 4 + 16 + 11.32 = 31.32 inches²

5 0
3 years ago
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