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bonufazy [111]
3 years ago
13

Which expression is equivalent to 2(t - 4) + 1?

Mathematics
1 answer:
Ugo [173]3 years ago
6 0
A. 2t-7
Hope this helps! :)
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At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 whe
Anna35 [415]

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55

6 0
3 years ago
The coordinates of point P are (−3, 4). What are the coordinates of the point that is a reflection of point P over the y-axis? (
ahrayia [7]
The answer would be ( 3 , 4 )
7 0
2 years ago
Read 2 more answers
Find the common ratio of the geometric sequence -20, 140, -980, ...
aksik [14]

Answer:

-7

Step-by-step explanation:

-20  × -7 = 140

140 × -7 = -980

3 0
3 years ago
4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed
elixir [45]
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30)  The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
y = a(x+30)(x-30)
Plug in vertex to find value of 'a'
-30 = a(0+30)(0-30) \\  \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}

Now find the focus given that p = \frac{1}{4a}
p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5

Answer: the microphone should be placed 7.5 inches from vertex.
8 0
3 years ago
Three-quarters of a number is 15<br> work out four-fifths of the number
Anna11 [10]

Let the number be X

3/4 of X = 15


Multiplying out gives;

3X = 4x15

3X= 60

X = 20


Therefore, 4/5 of 20


Putting X = 20 we have;


4/5 x 20 = 16

Hope this help!

8 0
3 years ago
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