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Solnce55 [7]
3 years ago
9

1.) Last year, Diane biked k miles. This year, she biked

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0

Answer:

1.) k + 516

2.) 2n - 4 = 3

3.) 57 - 2s

4.) 9h = 153

5.) c = 5n

Step-by-step explanation:

All of the problems given require you to set up an expression or equation.  Expressions have a variable and a coefficient or a constant.  Equations also have a variable, coefficient or constant but also include an equal sign.

1.) last year's miles = k, this year = 516, so total:  k + 516

2.) twice the difference of a number and 4 equals 3

twice a number = 2n; difference of this number and 4: 2n - 4; equals 3: =3

2n - 4 = 3

3.) 57 decreased: 57 -; twice her savings: 2s:  57 - 2s

4.) 153 is:  153 =; the product of height and 9:  9h, so 9h = 153

5.) notebooks 'n', were $5 each:  5n; total cost = c, so 5n = c

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True [87]

Answer:

  1. The corresponding angle of <POQ is<QTS.
  2. The corresponding angle of <OQR is <QTV.
  3. The corresponding angle of <PQT is <STV.
  4. The corresponding angle of <RQT is <UTV.

6 0
4 years ago
What is sin(A)?<br> 13<br> 12<br> A<br> 5<br> sin(A) =
eimsori [14]

Answer:

sin A = 12/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

 sin theta = opposite side/ hypotenuse

sin A = 12/13

6 0
3 years ago
What whole number dimensions would allow the students to maximize the volume while keeping the surface area at most 160 square f
ycow [4]

Answer:

The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft

Step-by-step explanation:

Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²

For maximum volume, the side length, s of the cube must all be equal ;

Therefore area of one side = s²

Number of sides in a cube with top open = 5 sides

Area of surface = 5 × s² = 180

Therefore s² = 180/5 = 36

s² = 36

s = √36 = 6 ft

Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.

6 0
3 years ago
When BA=10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number. (reply so i can draw it out, p
nexus9112 [7]
The area of the region that is not shaded in the diagram is determined through the following solution:

<span>A = <span>(1 − (<span><span>60°/</span><span>360°</span></span>)*</span>π) * (10 ft ) ^<span>2</span></span> <span>A = <span>56*</span>π*100 [<span>ft2</span>]</span> <span><span>A = <span>250/3 </span>π [<span>ft2</span>]
A = 262 [ft2]</span></span>
5 0
3 years ago
A country's population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponentia
Rainbow [258]

Answer

P = 147 million

Step by step explanation

P = Po r^t -------------(1)

Po initial population, r = rate, t = number of years

Here P = 139, Po = 134, t = 10.

Now plug in these values into the formula and find the rate r.

139 = 134r^10

r^10 = 139/134

r = (139/134)^1/10

Now we got r, now plug in the equation (1)

Let's find the population in the year 2014, here t = 24

P = 134 (139/134)^(24/10)

P = 134(139/134)^(2.4)

P = 134*1.1

P = 147.4

P = 147 million

The country's population in 2014 is 147 million (estimation).

Thank you.

7 0
3 years ago
Read 2 more answers
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