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Bumek [7]
3 years ago
13

Four times a number decreased by ten is 34. Write an equation & solve.

Mathematics
1 answer:
igomit [66]3 years ago
5 0
4x - 10 = 34
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11
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Find the perimeter of quadrilateral ABCD with vertices A(-2,-2), B(-1,3),
drek231 [11]

Answer:

<h2> 22.2</h2>

Step-by-step explanation:

Step one

given the coordinates

ABCD with vertices A(-2,-2), B(-1,3), C(5, 3), and D(4, -2)

AB=(-2,-2),(-1,3)

BC=(-1,3), (5, 3)

CD=(5, 3),(4, -2)

DA=(4, -2),(-2,-2)

The distance between points AB=

AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2

AB= \sqrt (-1+2)^2+(3+2)^2\\\\AB= \sqrt 1^2+(5)^2\\\\AB= \sqrt26\\\\AB=5.1

The distance between points BC=

BC= \sqrt (5+1)^2+(3-3)^2\\\\BC= \sqrt 6^2+(0)^2\\\\BC= \sqrt36\\\\BC=6

The distance between points CD

CD= \sqrt (4-5)^2+(-2-3)^2\\\\CD= \sqrt -1^2+(-5)^2\\\\CD= \sqrt26\\\\CD=5.1

The distance between points DA

DA= \sqrt (4+2)^2+(-2+2)^2\\\\DA= \sqrt 6^2+(0)^2\\\\DA= \sqrt36\\\\DA=6

Hence the perimeter = 5.1+6+5.1+6

= 22.2

5 0
2 years ago
While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely
kvv77 [185]

A = k/R where A = acceleration and R = radius of the turn and k is a constant to be found.

Substituting the given values:-

10 = k / 70

k = 10*70 = 700

So the equation of the motion is A = 700 / R

When the radius is 140 the acceleration is 700 / 140 = 5 ft/sec/sec ( answer)

4 0
3 years ago
Identify Arithmetic Mean, Geometric Mean and Harmonic Mean from the following averages: 56.4, 59.8 and 55.8
photoshop1234 [79]
If you would like to calculate the arithmetic mean, geometric mean, and harmonic mean from the following averages, you can calculate this using the following steps:

averages: 56.4, 59.8, 55.8
the number of values: 3

arithmetic mean:
(56.4 + 59.8 + 55.8) / 3 = 57.33

geometric mean:
(56.4 * 59.8 * 55.8)^(1/3) = 57.31

harmonic mean:
3 / (1/56.4 + 1/59.8 + 1/55.8) = 57.28
7 0
3 years ago
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each sho
sesenic [268]

Answer:

The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg

Step-by-step explanation:

Let

x=nuts at $2.50 per kg

y=cereal at $1 per kg

x+y=60 kg (1)

2.50x+y=1.40(60) (2)

From (1)

x=60-y

Substitute x=60-y into (2)

2.50x+y=1.40(60)

2.50(60-y)+y=84

150-2.5y+y=84

-1.5y=84-150

-1.5y=-66

Divide both sides by -1.5

y=44 kg

Substitute y=44 into (1)

x+y=60

x+44=60

x=60-44

=16

x=16 kg

3 0
3 years ago
A car cruises at a constant rate of 55 miles per hour. How much time will it take to go to 715 miles?
Verizon [17]
To get the answer, all you have to do is 715 ÷ 55 which equals 13 (hours)
3 0
3 years ago
Read 2 more answers
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