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JulijaS [17]
2 years ago
8

Please answer if so thank you and explain

Mathematics
1 answer:
anyanavicka [17]2 years ago
8 0
Y=12+2x
y represents the number of pieces she now knows, x represents the number of weeks she has taken lessons, 2 is the slope (the number of pieces she'll learn each week), and 12 is the y intercept (the number of pieces she knew before taking lessons).

To solve the equation for 11 weeks, we replace x with 11.

2×11+12= 24
y=24
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A box contains
Usimov [2.4K]
<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12

</span>the probability that a crayon from the second box is selected 
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4
7 0
2 years ago
Which inequality has the same value for x as the inequality - 2x &gt; -14
raketka [301]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a
Sunny_sXe [5.5K]

Answer:

<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is x inch.

As the tabletop has a length that is twice it’s width, so the length will be:  2x inch.

The tabletop measures 76 inches on its diagonal.

<u>Formula for length of diagonal of rectangle</u>:  d=\sqrt{l^2+w^2}

So, the equation will be..........

76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...

Thus, the width of the tabletop is 33.988... inches and the length will be:  (2×33.988...) = 67.976... inches.

The perimeter will be:  2(33.988...+ 67.976...) inches = 203.929... inches.

5 0
2 years ago
6. Sketch the region enclosed by the graphs of x =0, 6y-5x=0 and x+3y=21. Find the area
kow [346]
We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h

1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6

Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3) whole area=A1+A2=25/2+75/2=100/2=50

3 0
3 years ago
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If a rock falls from a height of 40 meters on Earth, the height H (in meters) after x seconds is approximately
Julli [10]
Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0
40 - 4.9 {x}^{2}  = 0
now all we have to do is get x by itself
so..
4.9 {x}^{2}  = 40
then
{x}^{2}  = 40 \div 4.9
{x}^{2}  = 8.1632...
now take the square root of each side
x = 2.857...
2.857 seconds (rounded to the third decimal)

4 0
2 years ago
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