One of my students got 95 and 98 for the two Principal tests and for the final test. What is the average of her three tests? What should be the minimal grade on the final test so that the average of the three tests is at least 90?

Answer:

52.5 sweets

Step-by-step explanation:

Given data

Total sweet= 120 sweet

She gave 1/4 of the sweets to her grandmother

=1/4*120

=30 sweets

Remaining sweet= 120-30= 90 sweets

She gave 5/12 of the remaining to her grandfather

=5/12*90

=450/12

=37.5 sweets

Balance of sweets

=90-37.5

=52.5 sweets

Pythagorean Theorem: a^2 + b^2 = c^2

-A and B are legs of the triangle

-C is the hypotenuse

#1.

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

c = 10

#2.

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

c = 13

#4.

10^2 + 4^2 = c^2

100 + 16 = c^2

116 = c^2

c = [tex]4\sqrt{29}[/tex]

#5.

15^2 + 9^2 = c^2

225 + 81 = c^2

306 = c^2

c = [tex]3\sqrt{34}[/tex]

#6.

120^2 + b^2 = 150^2

14400 + b^2 = 22500

b^2 = 8100

b = 90

#7.

144^2 + b^2 = 194^2

20736 + b^2 = 37636

b^2 = 16900

b = 130

Hope this helps!! :)

Answer:

x = 6°

Step-by-step explanation:

∠7 and ∠5 are equal because the two intersecting lines are parallel.

The equation is:

78° = 12x + 6°

Subtract 6 from both sides

72° = 12x

Divide by 12 on both sides

6° = x

x = 6°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y intercept is (0,4)

Step-by-step explanation:

Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

Answer:

MOBiLe LeGenD BaNG bAnG

Step-by-step explanation:

1s

2s

3s

4s

5s

mobile legend bang bang

Susan can maximum spend $30.95 on dog food and the inequality to manage her bill is 150C + 30D ≤ 3250.

The idea of inequality, which is the state of not being equal, especially with regard to status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are shared.

Given, Susan is required to buy pet food for her local pet shelter. She buys food for both dogs and cats, but the dog food costs twice what the cat food costs. She needs to feed 150 cats and 30 dogs. Her budget is $3250

Let the price of cat food be C and the price of dog food be D.

Since the price of both cants is exceed 3250. Thus,

inequality shows their relationship is

150C + 30D ≤ 3250

Also given, the price of dog food is twice the price of cat food

C = D/2

150D/2  + 30D  ≤ 3250

105D  ≤ 3250

D  ≤ 3250/105

D  ≤ 30.95

Therefore, The most Susan can spend on dog food is $30.95, and the inequality to handle her bill is 150C + 30D  ≤  3250.

Learn more about inequalities here:

https://brainly.com/question/29166625

#SPJ2

Answer:

cake 90

Step-by-step explanation:

8×5×2=90

length ×width ×height

Answer:

there are 8 nails in total, if that doesn't help please explain more

Step-by-step explanation:

Answer:

B.) 90

Step-by-step explanation:

Number line graph with closed circle on 90 and shading to the right. It shows that 90 should be greater or more. So its B.

I hope this helped! I also took the test and got it correct! :)

Answer:

The rate of descent is (1st picture's place)

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to

Let

x------> the time in minutes

y----> the elevation in feet

we have

Substitute the values

*Note only the first picture worked*

Answer:

18.0

Step-by-step explanation:

[tex] In\: \odot P, [/tex] TS is tangent to the circle at point S and PS is radius.

[tex] \therefore PS \perp TS[/tex]

(tangent radius theorem)

[tex] \therefore m\angle PST = 90\degree [/tex]

Since, side opposite to 90° angle is called hypotenuse.

So, x represents the length of hypotenuse of [tex] \triangle WYZ[/tex]

Thus, by Pythagoras Theorem

[tex]x = \sqrt{ {15}^{2} + {10}^{2} } \\ \\ = \sqrt{225 + 100} \\ \\ = \sqrt{325} \\ \\ = 18.0277564\\\\ = 18.0[/tex]

Answer: 15

Step-by-step explanation:

Factors:

75: 1, 3, 5, 15, 25,

15: 1, 3, 5, 15

Write out all the factors of each number and circle the highest factor that both numbers have

Answer:

Uranus, Neptune, Saturn, Jupiter

Step-by-step explanation:

l

Answer:

I'm pretty sure the answer is 6!

Step-by-step explanation:

it takes 6 to get to 13 from 7

and it takes 6 to get to 19 from 13

Answer:

It is C.

III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.

f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2

f(g(x)) = 3[(x-2)/3]+2

f(g(x)) = x-2 + 2

f(g(x)) = x

Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.

fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).

Answer:

-.4685

Step-by-step explanation:

[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]

Answer:

where is it at

Step-by-step explanation:

Answer:

4 and 3/4 inches less for April

and 1 and  1/2 inches  less for March

Step-by-step explanation:

Answer:

8

Explanation:

A good way to find the area of a figure with diagonal lines is to find the area of the section that has full squares and then add the other parts together and find the area of that. As you can see in the polygon, there are four units in the middle that don't get cut off by the diagonal line. The area of that part of the figure is 1*4 = 4. Now, if you take out that section, and move the other parts together, you can find their area and then add it to 4. The other parts of the polygons are triangles, and when you move them together, they form the same shape as the middle section did, and have an area of 4. The area of the entire figure is the area of one section plus the area of the other. 4 + 4 = 8

I hope that makes sense :)

The Answer is B.

Its a Cubic function and this does not graph a line.

The first option

y=5 (A straight line)

for Y=-8x

Using Y=Mx + c

M is the slope

So it has a slope of -8.

Answer:

The answer is C both the mean and median are 6

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

Answer:

256π cm³

Step-by-step explanation:

πr²·h=Volume

π·(4)²·16=π·16·16=256π cm³

Answer:

200.06

Step-by-step explanation:

Area= πr2

Divide 16/2 to get radius

A= 3.14 x 8 x 8

A= 3.14 x 64

A= 200.06

Answer:

80000

Step-by-step explanation:

Answer:

[tex]Mean = \$15[/tex]

[tex]Standard\ Deviation = \$53.85[/tex]

Step-by-step explanation:

Given

See attachment for probability distribution

Required

Determine the mean and the standard deviation

The mean of the distribution is:

[tex]Mean = E(x)[/tex]

and

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]

[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]

[tex]Mean = \$15[/tex]

So:

[tex]E(x) = 15.00[/tex]

The standard deviation of the distribution is:

[tex]S = \sqrt{Var(x)}[/tex]

Where:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]

[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]

[tex]E(x^2) = 3125[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where

[tex]E(x^2) = 3125[/tex]

[tex]E(x) = 15.00[/tex]

[tex]Var(x) = 3125 - 15^2[/tex]

[tex]Var(x) = 3125 - 225[/tex]

[tex]Var(x) = 2900[/tex]

Recall that:

[tex]S =\sqrt{Var(x)[/tex]

[tex]S =\sqrt{2900[/tex]

[tex]S =53.85[/tex]

Answer:

144

Step-by-step explanation:

Given function ,

→ v = 18p

→ v = 18 *8

→ v = 144