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frosja888 [35]
3 years ago
7

Evaluate p+23 for p=8

Mathematics
1 answer:
malfutka [58]3 years ago
7 0

Answer:

31

Step-by-step explanation:

p = 8

p + 23

= 8 + 23

= 31

31 is the answer.

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Suppose that y varies directly with x. Given x=4 when y=20.<br> Find y when x = 3
scoray [572]

Answer:

y = 15

Step-by-step explanation:

Given: y varies directly with x, x=4 when y=20

To find:  y when x = 3

Solution:

As y varies directly as x, it means that as x increases, y also increases by the same factor.

As y varies directly with x,

y=kx

Here, k is a constant

As x = 4 when y = 20,

20=4k\\k=\frac{20}{4}=5\\\Rightarrow y=5x

Put x = 3

y= 5(3) = 15

4 0
2 years ago
you can speed from 0 to 25 m/s in 25 seconds and your friend can speed up from 0 to 6 m/s in 6 seconds. who is faster
aksik [14]

Answer:

Neither; see below

Step-by-step explanation:

Your acceleration: a=\frac{\Delta v}{\Delta t}=\frac{25-0}{25}=1m/s^2

Your friend's acceleration: a=\frac{\Delta v}{\Delta t}=\frac{6-0}{6}=1m/s^2

Therefore, since both you and your friend accelerate at the same rate, neither is faster.

7 0
2 years ago
What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val
Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = \dfrac{d-b}{c-a}

Then, the slope of the line that passes through (2, 12) and (4, 20) = \dfrac{20-12}{4-2}

=\dfrac{8}{2}=4

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9

By comparison,  c= 9

Hence, the value of the y-intercept is 9.

4 0
3 years ago
3) Sandy wants to make cookies. To make cookies, she needs 15 cups of flour per
vekshin1

Answer:

She can make 1.6 batches

Step-by-step explanation:

24/15 = 1.6

6 0
2 years ago
Read 2 more answers
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
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