a student has test scores of 92%, 87%, and 78%. what must she need to score on thenlast test to maintain 80% or better?

Answers

Answer 1

We'll solve this equation in order to find the score of the 4th test, which we denote with x. [tex] \frac{92+87+78+x}{4}=80 [/tex]. Solving it we find that x=63. And it is the final answer for this problem.

Related Questions

an original piece of art work is 3 feet by 2.5 feet. a reprint of the artwork is 6 inches by 5 inches. are the pieces similar? if so, what is the ratio of their corresponding side lengths?

Answers

For this case we observe that the dimensions of the original piece are:
3 feet
2.5 feet
Let's multiply these dimensions by a scale factor k:
3 * k
2.5 * k
We match the new dimensions with their respective values:
3 * k = 6
2.5 * k = 5
Clearing k we have:
k = 6/3 = 2
k = 5 / 2.5 = 2
Since the value of k is the same, then the pieces are similar.
Answer:
The pieces are similar.
The ratio of their corresponding side lengths is:
k = 2

PLEASE HELP WILL GIVE BRAINLIEST!!!The table below represents the closing prices of stock ABC for the last five days

Answers

Answer:

A. [tex]y=-8.583x+475.215[/tex]

Step-by-step explanation:

We are given,

The table representing the closing prices of stock for the last five days is,

Day Value

1 472.08

2 454.26

3 444.95

4 439.49

5 436.55

Using the linear regression calculator, we have that,

The linear equation that best fits the data is [tex]y=-8.583x+475.215[/tex]

Thus, option A is correct.

What is one possible solution for the triangle below?

Answers

Answer:

The correct answer is C, i can promise you that

Step-by-step explanation:

the only one with Angle Z as 94.6 degrees.

One possible solution for the triangle below is:

Option D:

YZ = 95.4

∠X = 26.7°

∠Z = 85.3°

How use law of sines and cosines?

If only one of these is missing, the law of cosines can be used.

3 sides and 1 angle. So if the known properties of a triangle are SSS (side-side-side) or SAS (side-angle-side), then this law applies.

If you want the ratio of the sine of an angle and its inverse to be equal, you can use the law of sine. This can be used if the triangle's known properties are ASA (angle-side-angle) or SAS.

Using Law of sine:

40/sin 68 = 43/sin Z

sin Z = (43/40) * sin 68

sin Z = 0.9967

Z = sin⁻¹0.9967

Z = 85.3°

The only option with the correct value of angle Z is Option D with:

YZ = 95.4

∠X = 26.7°

∠Z = 85.3°

Read more about law of sines and cosines at: https://brainly.com/question/4372174

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simplify completely 3x^2+21x-54 over x^2+3x-54

Answers

[tex]\bf \cfrac{3x^2+21x-54}{x^2+3x-54}\implies \cfrac{3(x^2+7x-18)}{x^2+3x-54}\implies \cfrac{3\underline{(x+9)}(x-2)}{\underline{(x+9)}(x-6)} \\\\\\ \cfrac{3(x-2)}{x-6}[/tex]

Answer: 3(x-2) / x-6

Step-by-step explanation: find gcf..

hey can you please help me posted picture of question

Answers

We have the following function:
P (m) = m / 6 + 9
Clearing m we have:
m = 6 * (p-9)
m= 6*p - 6*9
Rewriting:
m (p) = 6p-54
Answer:
The inverse function for this case is given by:
m (p) = 6p-54
option A

The correct answer is option B.

The solution is shown below

[tex]P(m)= \frac{m}{6} -9 \\ \\ p=\frac{m}{6} -9 \\ \\ p+9=\frac{m}{6} \\ \\ 6(p+9)=m \\ \\ m=6p+54 \\ \\ M(p)=6p+54 \\ \\ M(p)=6m+54 \\ \\[/tex]

3/a=9/b-10c solve for a.

Answers

For this case we have the following equation:
3 / a = 9 / b-10c
Rewriting we have:
3 = a * (9 / b-10c)
Clearing to have:
a = 3 / (9 / b-10c)
Answer:
The value of a in terms of variables b and c is given by:
a = 3 / (9 / b-10c)

what is the solution to the system y= 3/4 x - 12 and y = 4x - 31

Answers

For the first one it would be no solution

A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square centimeters. A dart is randomly thrown at the dartboard. Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?

To the nearest whole percent, the probability is

A) 18
B) 25
C) 35
D) 50

Answers

The answer is B) 25.
Hope this helps!!

Answer: B) 25

Step-by-step explanation:

Given: A rectangular dartboard has an area of 648 square centimeters.

The triangular part of the dartboard has an area of 162 square centimeters.

If a dart is randomly thrown at the dartboard. Assuming the dart lands in the rectangle, the probability (in percent) that it lands inside the triangle will be :

[tex]\dfrac{162}{648}\times100=25\%[/tex]

Hence, the probability that it lands inside the triangle = 25%.

What type of conic section is the following equation? 4x2 + y2 = 36

Answers

The terms are both squares, so it is not a parabola.

The signs of the terms are both positive, so it is a circle or an ellipse.

The coefficients of the terms are different, so it is not a circle, it is an ELLIPSE.

Answer:

Ellipse

Step-by-step explanation:

The signs of the terms are both positive, so it is either a circle or an ellipse.

The coefficients of the terms are different, so it can not be a circle.

Therefore it is an Ellipse.

What is the annual rate of productivity advance implied by moore's law? (assume linear growth from the base.) instructions: enter your response rounded to the nearest whole number. %?

Answers

The annual rate of productivity is 34%. Moor's law sates that it i sequal to 34%.

Given that a = −4, b = −3. c = −2, d = −1, which gives the correct order from least to greatest for the rational numbers on a number line?

Answers

Final answer:

On a number line, the correct order from least to greatest for the given rational negative numbers is −1, −2, −3, and −4.

Explanation:

To correctly place the numbers a = −4, b = −3, c = −2, and d = −1 on a number line from least to greatest, we should start with the number that has the largest absolute value in the negative direction. Since negative numbers are greater when they have a smaller absolute value, the order from least to greatest is:

d < c < b < a

This means −1 is greater than −2, which is greater than −3, and −3 is greater than −4 on the number line.

In a woodworking you are planing boards to make shelves. The planer is set to remove 1/16 inch from a board on each pass the board makes through the planer. If a board starts out at 3/4 inch thick, how many times will you need to send it through the planer to get it down to 5/8 inch?

Answers

Material removed per pass = 1/16 in
Initial thickness = 3/4 in
Final thickness = 5/8 in

If x is the number of passes,
The material removed = (1/16)x in.
Therefore,
3/4 - (1/16)x = 5/8
3/4 - x/16 = 5/8
x/16 = 3/4 - 5/8 = 1/8
x = 16*1/8 = 2

Therefore, the board will be passed through the plane twice.

Evaluate the expression. 10p5

Answers

So this is permutation.

The number of permutations of n objects taken r at a time is defined as [tex]_nP_r = \dfrac{n!}{(n-r)!}[/tex].

Here, you have 10 objects and 5 of them will be taken.

So that would be 10! / (10-5)! = 10! / 5! = 30240

Final answer: 30240

Hope this helps.

Answer:

The correct answer is

30,240

A bag contains 8 yellow cubes,7 blue cubes,and 5 red cubes.If you select a cube at random,what is the probability the cube will not be blue or red

Answers

There are 20 total cubes.

7/20 + 5/20 = 12/20 = probability that the cube WILL be blue or red. Can be reduced to 3/5

Therefore, the probability that the cube will NOT be blue or red is 8/20 or 2/5.

[tex] |\Omega|=20\\
|A|=8\\\\
P(A)=\dfrac{8}{20}=\dfrac{2}{5}=40\% [/tex]

a radius and an angle measure between 0 and 360 degrees

Answers

whats the question???

Final answer:

A radius and an angle between 0 and 360 degrees are the two components needed to define a point on a circle in polar coordinates in trigonometry. The angle is the polar angle and the radius is the distance from the center of the circle to the point.

Explanation:

In mathematics, specifically in trigonometry, a radius and an angle measure between 0 and 360 degrees are the two key components needed to define a point on a circle in polar coordinates. The angle is known as the polar angle, often denoted as θ (theta), and the radius is the distance from the center of the circle to the point. For example, a point with a radius of 1 and an angle of 90 degrees would be located at the top of the circle, as the polar angle is measured counterclockwise from the positive x-axis.

Learn more about Polar Coordinates here:

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The graph of a proportional relationship passes through (3, 24) and (1, y). Find y.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf (\stackrel{x}{3},\stackrel{y}{24})\textit{ we also know that } \begin{cases} x=3\\ y=24 \end{cases}\implies 24=k3\implies \cfrac{24}{3}=k \\\\\\ 8=k\qquad therefore\qquad \boxed{y=8x} \\\\\\ (\stackrel{x}{1},\stackrel{y}{y})\textit{ when x = 1, what is \underline{y}?}\qquad y=8(1)[/tex]

Sabrina rounded the size of the park to the nearest thousands acres. Her estimate was 276,000 acres. What number could be the exact numbers of acres?

A 276,543
B 276,479
C 275,424
D 275,289

Answers

The correct answer would be ‘B’ because...
A rounds up to 277000
B rounds to 276000
C rounds to 275000
And D rounds to 275000 as well.
Good luck with future problems m8

If the estimate is 276000, the actual number must have been rounded down if it was between 276000 and 276500(non-inclusive), and rounded up if it was between 275500 and 276000(inclusive). The only choice within either of these ranges is B.

The total cost of a prescription is $119.25. Mr. Jones's co-insurance plan requires him to contribute 15 percent of the cost. What's Mr. Jones's out-of-pocket cost for this prescription?

Answers

Final answer:

To find Mr. Jones's out-of-pocket cost for his prescription, calculate 15% of the total cost of $119.25, resulting in $17.89 after rounding.

Explanation:

The question asks us to calculate Mr. Jones's out-of-pocket cost for his prescription if his co-insurance plan requires him to pay 15% of the total cost. The total cost of the prescription is $119.25.

To find out Mr. Jones's out-of-pocket expense, we calculate 15% of $119.25:

Out-of-pocket cost = 15% of total cost
= 0.15 × $119.25
= $17.8875

So, Mr. Jones's out-of-pocket cost will be $17.8875, which we can round to $17.89 for practical purposes.

What is the structural number of a pavement section with a1, a2 a3 = 0.44, 0.14, and 0.10 respectively if the depths are 5, 10 and 10 inches?

Answers

The pavemental section is 25 inches you just add them up.

The length of a rectangle is a two-digit number with identical digits (aa). the width is 1/10 of the length. the perimeter is 2 times the area of the rectangle. find the length and the width.

Answers

L = 10a + a
L = 11 a
W = 1/10 (11a)
W = 1.1 a

Perimeter = 2(L + W)
Perimeter = 2*(11a + 1.1a)
Perimeter = 22a + 2.2 a
Perimeter = 24.2 a

Area = L * W
Area = 11a * 1.1a
Area = 12.1 a^2

The perimeter is 2*area
P = 2*A
P = 2* 12.1 a^2
P = 24.2 a^2

Now put in the perimeter on the left side of the above equation.
24.2a = 24.2 a^2 Divide both sides by 24.2
1 a = a^2 Divide by a
1 = a

The length = 11*a = 11*1 = 11
The Width = 1.1 a = 1.1 * 1 = 1.1

Answers
L = 11 <<<<<<< answer
W = 1.1 <<<<<< answer

in the following equation solve for t, 2t-s=p

Answers

2t-s=p Add

2t=p+s Divide

t=[tex] \frac{p+s}{2}[/tex]

2t-s=p
+s +s

2t=p+s
—- —-
2 2

T= (p+s)/2

What method can you use to find the area of the composite figure? Check all that apply.
Decompose the figure into two rectangles and add the areas.

Decompose the figure into three rectangles and add the areas.
Find the area of the entire rectangle and of the removed corner and subtract the areas.

Find the area of the larger rectangle.

Find the area of the smaller rectangle and multiply by two.

Answers

Answer:

Decompose the figure into two rectangles and add the areas.

Step-by-step explanation:

We can draw a vertical line segment from the smaller section of the rectangle straight down. This would cut the rectangle into 2 smaller rectangles. We can then find the area of each rectangle and add them to find the area of the composite figure.

If a tank filled with water contains a block and the height of the water above point A within the block is 0.6 meter, what's the pressure at point A?

A. 9.80 kPa
B. 3.85 kPa
C. 7.84 kPa
D. 5.88 kPa

Answers

Hi! The answer is D. 5.88kPa

Answer:The answer is D. 5.88kPa

Step-by-step explanation:

the width of a rectangular picture is 13 in less than the length the area of the picture is 30in 2 what is the length of the picture

Answers

Let x represent the length of the picture. Then its width is represented by (x-13) and its area will be
A = length*width
30 = x(x -13)

This quadratic equation can be put into standard form and factored to find the solutions.
x² -13x -30 = 0
(x -15)(x +2) = 0
x ∈ {15, -2}

A negative length makes no sense, so we conclude ...
the length of the picture is 15 inches.

Answer:
2 would be your length. The exact length would be 2.3
Explanation:
When we multiply using the formula your answer should always add up to 2.3

determine the perimeter of a sector circular AOB whose radius has a length of 4m its central angle is 0.5 rad

Answers

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=4\\ \theta =0.5 \end{cases}\implies A=\cfrac{(4)(0.5)^2}{2}\implies A=0.5[/tex]

Callie evaluated the expression using the steps shown below.

Which best explains Callie’s error?
Callie incorrectly placed the decimal.
Callie multiplied incorrectly.
Callie added incorrectly.
Callie incorrectly used placeholder zeros. ill giveaway 200 points if this gets answerd

Answers

The answer is b because if you multiplied 0.42 and.4.73 that equals to 1.9866

Callie's error in evaluating the expression was due to incorrectly placing the decimal point in the product. The correct placement of the decimal results in the final answer: 1.9866. Callie should ensure correct placement of the decimal by counting the total decimal places in the original numbers.

Callie made an error when evaluating the expression 0.42 * 4.73 due to incorrectly placing the decimal.

Let's break down the correct steps:

First, multiply as if the numbers are whole numbers: 42 * 473 = 19866.Next, count the total number of decimal places in the original numbers. 0.42 has 2 decimal places, and 4.73 has 2 decimal places, for a total of 4 decimal places.Place the decimal point in the product so that there are 4 decimal places: 19866 becomes 1.9866.

Therefore, the correctly placed decimal in the product gives the final answer: 1.9866.

The most appropriate explanation for Callie's error is that she incorrectly placed the decimal.

Complete Question:- Callie evaluated the expression 0.42* 4.73 using the steps shown below. frac beginarrayr 042 * 473 126endarray 126 beginarrayr 2940 +18800 hline 19866endarray Which best explains Callie's error? Callie incorrectly placed the decimal. Callie multiplied incorrectly. Callie added incorrectly. Callie incorrectly used placeholder zeros.

graph each question y =2x + 0.5

Answers

Use y=mx+b It helped me so much

HI :) I NEED HELP PLEASE BEFORE 12 AM

Answers

See, please, the solution for the task number 2.

Q #10 Solve the equation

Answers

To write a rule or an equation for the linear function shown in table we can use any two points.

I am using the first two points (1, -7) and (2,-10)

First we need to find the slope(m), using these points.

[tex]m= \frac{-10+7}{2-1}=-3 [/tex]

Using the slope and point (1,-7) we can write the equation in point slope form as:

y + 7=-3(x-1)

y = -3x + 3 - 7

y = -3x - 4

So first option gives the correct answer

Factor completely the following quadratic expression 16x^2-25y^2

Answers

[tex]16x^2-25y^2 [/tex]

[tex](4x)^2-(5y)^2[/tex]

[tex](4x+5y)(4x-5y)[/tex]

Answer:

(4x+5y)(4x-5y)

Step-by-step explanation:

it is correct i got it right

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