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vaieri [72.5K]
3 years ago
12

Laura has scored 75, 85, 81, 67, and 91 on her previous five tests. What score does she need on her next test so that her averag

e (mean) is 77?
Mathematics
2 answers:
Llana [10]3 years ago
8 0
The answer is 63

You start off with 5 scores but you want to find the sixth score. And also you need the average to be 77. So you can set up the equation as (75+85+81+67+91+x)/6=77. Then you can solve the equation. Start by multiplying both sides by 6 so the equation looks like 75+85+81+67+91+x=462. If you take all the numbers on the left and add them together you will get 399+x=462. Finally, you subtract the 399 from both sides. This will leave you with x=63. So the answer is 63.
vlabodo [156]3 years ago
3 0

Answer:

63

Step-by-step explanation:

your equation should look like (75+85+81+67+91+x) ÷6 = 77 first you multiply 6 to both sides. then you subtract all your previous numbers from 462 (the product of 6 and 77) and you should end up with 63

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A school shop 10.0 meters wide and 14.0 meters long is to be built. Allow 5.0 square meters for each workstation. How many works
Radda [10]

Answer:

28 workstations

Step-by-step explanation:

First, let us find the area of the shop to be built:

Area = Length × width

Area = 14.0 × 10.0 = 140.0 m²

Next, we are told that each workstation allows 5.0 m²

this means that:

5.0 m² = 1 workstation

1.0 m² = 1/5 workstation

∴ 140.0 m² = 140 × 1/5 workstation

= 140 × 0.2 = 28 workstations

5 0
3 years ago
A graphic designer is drawing a pattern of four concentric circles on the coordinate plane. the center of the circles is located
Luden [163]

Hi!

The equation of a circle is (x – h)² + (y – k)² = r², with (h, k) being the center, r being the radius, and x + y being left as just x and y.

If the smallest circle has a radius of 3 units, then the next one is 7 units (4 units greater), and then the second largest 11 units, and then the largest 15. That means, for r in our equation, we're going to put in 15.

So we get:

(x – h)² + (y – k)² = 15², or

(x – h)² + (y – k)² = 225

The center of our circle is at (-4, 3). That means h = -4 and k = 3 in our equation. So let's substitute that in.

(x – (-4))² + (y – 3)² = 225

(x + 4)² + (y - 3)² = 225 is our final equation.

Hope this helped!

3 0
3 years ago
Select the solid whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a ce
s2008m [1.1K]

Answer:

Cone

Step-by-step explanation:

Options:

a) Cone      b)  Cube     c)  Cylinder    d)  Triangular prism

From the given options (a) to (d), option (a) is true.

This is so, because.

The volume (V) of a cone  is:

V_1 = \frac{1}{3}\pi r^2h

This is as a result of dilating the cylinder by 1/3 whose volume is:

V_2 = \pi r^2h

In other words:

V_1 = \frac{1}{3}V_2

<em>i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)</em>

6 0
3 years ago
You are dealt one card from 52 card deck. Find the possibility that you are dealt a heart or a picture card
PIT_PIT [208]

Answer:

<h2>11/26</h2>

Step-by-step explanation:

Since we have 13 heart card then

p(heart) = 13/52

Since we have 12 picture card then

p(picture) = 12/52

Since we have 3 heart and picture (at the same time) card then

p(heart∩picture) = 3/52

finally,

the possibility that you are dealt a heart or a picture card = p(heart or picture)

p(heart or picture) = 13/52 + 12/52 - 3/52 = 22/52

7 0
4 years ago
6) 2 log b + 3 log c
Brilliant_brown [7]

Answer:

5 logbc

Step-by-step explanation:add them up

7 0
3 years ago
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