A student received scores of 86, 76, and 90 on three quizzes, what is the lowest score the student can get on the next test to achieve an average score of at least 70?

Step-by-step explanation:

[tex]m\angle {ADC}=134°[/tex]

According to the diagram

[tex]\angle {ADB}+\angle{BDC}=\angle{ADC}[/tex]

[tex]\longrightarrow\sf 5x+4+7x-2=134 [/tex]

[tex]\longrightarrow\sf 12x+2=134 [/tex]

[tex]\longrightarrow\sf 12x=134-2 [/tex]

[tex]\longrightarrow\sf 12x=132 [/tex]

[tex]\longrightarrow\sf x=\dfrac {132}{12}[/tex]

[tex]\longrightarrow\sf x=6 [/tex]

[tex]m\angle{BDC}=7x-2=7×6-2 =40°[/tex]

Given:

[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex].

To find:

The relationship between the ratios.

Solution:

We have, two ratios in the fraction form.

[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex]

First ratio = [tex]\dfrac{10}{24}[/tex]

                = [tex]\dfrac{2\times 5}{2\times 12}[/tex]

                =[tex]\dfrac{5}{12}[/tex]           (Cancel out the common factors)

First ratio = Second ratio

Since, the both ratios are equal to each other, therefore, the given ratios are equivalent ratios.

Answer:

[tex]2\ cm[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h[/tex]

[tex]As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel[/tex]

[tex]Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm[/tex]

Answer:

Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope

Answer:

i think 0.09375 or 9/375

Step-by-step explanation:

i divided

Answer:

3/10 foot more snow yesterday

Step-by-step explanation:

1/2 x 5 = 5/10

1/5 x 2 = 2/10

5/10 - 2/10 = 3/10

Answer:

her average speed is 7 and 2/3 miles per hour

Step-by-step explanation:

Step-by-step explanation:

[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]

Answer:

she can earns $28

Step-by-step explanation:

Answer:

$24.40

Step-by-step explanation:

if she gets $8 per hour than in 3 hours she would have earned $24 cause 8*3=24.

since she works for 3h and 30 min to find the 30 min we have to divide 8 by 2 becasue 30 min is halve an hour so by doing this you get 8/2=4

Answer:

1/2

Step-by-step explanation:

Since you are going from the biggest to smallest, it would be 1/2. If you are going from the smallest to biggest it would be 2. So the answer is 1/2. :)

Answer:

A.) quarantine of the sick

Step-by-step explanation:

A lot of people on this same question were saying that A is right.

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Please do not come at me...

Answer:

It's C: vaccination against disease

Step-by-step explanation:

I know many people are saying A, B, or D but their all wrong I picked C and got it correct. Hope this helped (sorry I'm late)

Answer:

I think is (x+0,5)^{2} - 6,25

Step-by-step explanation:

a(x-h)square + k

Answer: y = x² + x - 6

the equation is y = ax² + bx + c (a ≠ 0)

see in the graph, the equation passed through (-3;0), (2;0) and (0;-6), so we have:

9a - 3b + c = 0

4a + 2b + c = 0

c = -6

=> a = 1

    b = 1

    c = -6

=> the equation is y = x² + x - 6

Step-by-step explanation:

Answer: C- 17 hrs /2 weeks

Step-by-step explanation:

Write the number of hours in the numerator and the number of weeks in the denominator.

68 hrs/8 weeks

Simplify by dividing 4 into both the numerator and denominator.

68/8 = 17/2

Answer:

-720

Step-by-step explanation:

10x^3y^2    If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

Answer:

A.) -720

Step-by-step explanation:

10x^3y^2

10 times x^3 times y^2

x = -2

y = -3

10 times (-2)^3 times (-3)^2

-2^3 = -2 x -2 x -2 = -8

-3^2 = -3 x -3 = 9

-8 x 9 = -72

10 x -72 = -720

Answer:

100 x 3

Step-by-step explanation:

Well, it's a pretty simple problem.

If she already has 100 ants and it triples every month then, we'd multiply.

Key words like triple, double, twice as much can signal that a problem requires multiplication.

In this case, we'd do 100 x 3

which means that after one month, she'd have 300 ants.

Answer:

She can buy 9 bones.

Step-by-step explanation: Because 9 times 1.25 equals $11.25 for bones.

Answer:

18:19

Step-by-step explanation:

Given that,

The radius of circle A = 9 cm

The diameter of circle B = 19 cm

We know that,

Radius = diameter/2

The radius of circle B = 19/2 cm

The circumference of circle A is :

[tex]C_A=2\pi r_A[/tex] ....(1)

And that of circle B is :

[tex]C_B=2\pi r_B[/tex] ....(2)

Dividing equation (1) and (2) :

[tex]\dfrac{C_A}{C_B}=\dfrac{2\pi r_A}{2\pi r_B}\\\\=\dfrac{r_A}{r_B}\\\\=\dfrac{9}{\dfrac{19}{2}}\\\\\dfrac{C_A}{C_B}=\dfrac{18}{19}[/tex]

Hence, the ratio of circumferences of Circle A and Circle B is 18:19.

Answer:

6

Step-by-step explanation:

I hope this helps :)

Answer:

A is correct

Step-by-step explanation:

You have to find the rate of change for each one.

Divide the price with the amount

Hope this helps!

The solution of the equation 70 = 1.4y is 50.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 70 = 1.4y.

Seventy equal to one point four y.

In the given equation the variable is y.

We need to solve for the y.

70 = 1.4y.

Divide both sides by 1.4

70/1.4=y

Seventy divided by one point four equal to y

50=y

The value of y is fifty.

Hence, the solution of the equation 70 = 1.4y is 50.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

A: Acute (70<90)

B: Obtuse (140>90)

C: Acute (60<90)

D: Right (90=90)

Acute: x<90

Obtuse: x>90

Right: x=90

Answer:

x=2 or x=−6

Step-by-step explanation:

Answer: -9, 9

Step-by-step explanation:

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.

Answer:

x=7

Step-by-step explanation:

2(x−3)=8(x−6)

2x-6=8x-48

2x-8x=-48+6

-6x=-42

x=7