To enter a competition, students must score a total of at least 450 points on five qualifying tests. Each test is worth 100 points. On the first four tests, your scores were 94, 88, 79, and 95. What are three possible scores you can earn on the last test to enter the competition?

Answer:

Length of all 3 sides: 7, 7, and 9

Length of the two sides that have the same length: 7

Step-by-step explanation:

Let the two sides with equal lengths have a length of \(x\). We can write the third side as \(2x-5\).

The perimeter of a polygon is equal to the sum of all its sides. Since the perimeter of the triangle is 23 meters, we have the following equation:

\(x+x+2x-5=23\)

Combine like terms:

\(4x-5=23\)

Add 5 to both sides:

\(4x=28\)

Divide both sides by 4:

\(x=\frac{28}{4}=\boxed{7}\)

Therefore, the three sides of the triangle are 7, 7, and 9 and the length of the two sides that have the same length is 7.

Answer:The first question requires the calculation of the 6.5% of $400, which is equal to $26.

The second question requires the calculation of 12.5% of $100, which is equal to $12.50.

For the third question, 130 is 20% of 650.

For the fourth question, $5.40 is 120% of $4.50.

For the fifth question, $8.40 is 30% of $28.

For the sixth question, 56% of 39 is $21.84

For the seventh question, $495 is 55% of $900.

For the last question, 144 is 60% of 240.

Step-by-step explanation:

Answer:

Step-by-step explanation:

26

12.5

20%

120%

30%

12.23

900

60%

Answer:

84

Step-by-step explanation:

First write it out:

6048/72=L

This is because the formula for Area is Width * Length.

Then divide the area bu the width to get your answer:

84

The amount of principal for the given situation is $87,894.37

What is compound interest?

The interest that is paid on both the initial principal and the accumulated past interest is known as compound interest.

The principal, interest rate, and time period are used to calculate compound interest.

Given, compound amount (A) = $225,300

time period (t) = 12 years

interest rate (r) = 8% = 0.08

compounded semiannually (n) = 2

principal amount (P) =?

Then. the compound amount is given by

\(A = P(1 + \frac{r}{n} )^{nt}\)

or, \(225300 = P(1 + \frac{0.08}{2} )^{2*12}\)

or, \(P= 225300/(1+0.04)^{24}\)

or, P = 87,894.37

Hence, the amount of investment today is $87,894.37

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Answer:

Step-by-step explanation:

⅝ - 5/9 = 5/72

The required surface area of the prism is 378 square meters.

To find the surface area of the prism, we need to know the dimensions of the prism. Let's call the length, width, and height of the prism l, w, and h, respectively.

Since the prism has right angles between its faces, we know that it is a right rectangular prism.

The formula for the volume of a right rectangular prism is V = lwh, and we know that the volume of the prism is 490m^3. Therefore,

lwh = 490

We are not given any specific values for l, w, or h, so we need to use another piece of information to solve for one of these variables.

The surface area of a right rectangular prism is given by the formula

SA = 2lw + 2lh + 2wh

If we can find the value of one of these dimensions, we can use it to calculate the surface area of the prism

lwh = 490

Since we know that the prism has right angles between its faces, we can assume that its dimensions are integers. We can start by testing integer values for l and w, and see if we can find an integer value for h that satisfies the equation.

For example, if we let l = 7 and w = 10, we get

7 * 10 * h = 490

Simplifying, we get

70h = 490

Dividing both sides by 70, we get

h = 7

Therefore, the dimensions of the prism are l = 7, w = 10, and h = 7.

To find the surface area, we can substitute these values into the formula for SA:

SA = 2lw + 2lh + 2wh

= 2(7)(10) + 2(7)(7) + 2(10)(7)

= 140 + 98 + 140

= 378

Therefore, the surface area of the prism is 378 square meters.

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Answer:

there is no possible slope for this equation. if it asks for a number it is 0

Step-by-step explanation:

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Let the number be x.

The answer would be \(\frac{x}{15}\) - 19.

Answer: (x/15) - 19

Step-by-step explanation: The quotient of a number and fifteen is (x/15). Nineteen less is (x/15) - 19.

Note: Hope this helps! I learned this last year, so I'm a little rusty.

First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.

Answer:

Step-by-step explanation:

x= 66.5 :) hope this helps

Answer:

47 degrees

Step-by-step explanation:

x and 133 are a linear pair, meaning they form a straight line or a 180 degree angle. Therefore, \(x+ 133 = 180\). Subtract 133 from both sides to get\(x = 47\).

Correct me if I'm wrong!

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

Answer:

689.85 liters

Step-by-step explanation:

1 gallon =  about 3.78 liters

182.5 gallon = ? liter

We take  

182.5 times 3.78 = 689.85 liters

So, 182.5 gallons is about 689.85 liters

Answer:

option A \((4, \frac{7}{2})\) is the midpoint.

Explanation:

To find midpoint: \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

We shall use this formula here:

\((\frac{9+-1}{2}, \frac{5+2}{2})\)

\((\frac{8}{2}, \frac{7}{2})\)

\((4,3.5)\)

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block.

Instructional activities are routine segments of instruction that show how the teacher and students will participate and interact with materials and content.

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block. For example, if one wants to teach students about fractional parts that are divided equally into twelfths, the analog clock can be ideal.

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Answer:

0.48

Step-by-step explanation:

By the law of sines, the ratio of the sides of a triangle to the sine of the angles opposite the side must be the same

Therefore
\(\dfrac{EG}{\sin90} =\dfrac{ FG}{\sin E}\\\\\\\dfrac{\sqrt{69}}{\sin 90} = \dfrac{4}{\sin E}}\\\\\\\sin 90 = 1\\\\\dfrac{\sqrt{69}}{1} = \dfrac{4}{\sin E}\\\\\sqrt{69} = \dfrac{4}{\sin E}\\\\\sin E = \dfrac{4}{\sqrt{69}}\\\\\\= 0.481543\\\\= 0.48 \text{ rounded to the nearest hundredth}\)

Answer:

Step-by-step explanation:To evaluate F(x) at a specific value, we simply replace x with that value in the expression for F(x). In this case, we want to find F(-3), so we substitute -3 for x in the expression for F(x):

F(-3) = 3(-3) - 5

Simplifying the right-hand side:

F(-3) = -9 - 5

F(-3) = -14

Therefore, F(-3) = -14.

Length of arc=r\(\theta\)

So

#1

\(\\ \rm\Rrightarrow Area=18(\pi/3)=6\pi cm\)

#2

\(\\ \rm\Rrightarrow Area=9(7\pi/4)=63\pi /4ft\)

Answer:

the radius of the cylinder is 1.91 cm

Step-by-step explanation:

Given;

curved area of the cylinder, A = 24 cm²

height of the cylinder, h = 2.0 cm

The curved surface area of a cylinder is given as follows;

Curved surface area = 2πrh

where;

r is the radius of the cylinder

24 = 2πrh

r = 24 / (2πh)

r = 24 / (2π x 2)

r = 24 / (4π)

r = 1.91 cm

Therefore, the radius of the cylinder is 1.91 cm

The probability that a worker selected at random makes between $300 and $350 is 0.1359 Or 13.6%.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

Given, Weekly wages at a certain factory are normally distributed.

Mean(\(\overline{x}\)) = 400, S.D(\(\sigma\)) = 50.

Now, Since the wages are normally distributed we know,

\(z = \frac{x - \overline{x}}{\sigma}\).

Therefore,

z = (300 - 400)/50.

z = - 2.

And

z = (350 - 400)/2.

z = - 1.

Now, from the z-table,

P(z ≤ - 2) = 0.0228 and P(z ≤ - 1) = 0.1587.

Combining the two we have P( - 2 ≤ z ≤ - 1) =  0.1587 - 0.0228.

P( - 2 ≤ z ≤ - 1) = 0.1359.

As a result, the likelihood that a randomly chosen employee will earn between $300 and $350 is 0.1359, or 13.6%.

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The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

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For the given median, there are 50 students who scored greater than 72.

What is median?

The median is a measure of central tendency in a set of numerical data. It is the value that separates the higher half of the data from the lower half when the data is arranged in order from least to greatest or greatest to least.

We are given that 99 6th graders took a test and the median score was 72. We want to find out how many students scored greater than 72.

Let the scores be denoted by S1, S2, ..., S99. We can sort these scores in order from least to greatest:

S1 ≤ S2 ≤ ... ≤ S99

Since the median score is 72, exactly half of the scores are above 72 and half are below 72. Thus, the 50th score in the sorted list is 72.

Since there are 99 scores in total, we can approximate the number of students who scored above 72 by dividing the total number of students by 2:

\($\frac{99}{2} = 49.5$$\)

This means that approximately 49.5 students scored above 72.

Since 0.5 rounds up to 1, we round 49.5 up to 50. Therefore, approximately 50 students scored greater than 72.

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Answer:

d is the answer

Step-by-step explanation:

i took the test

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer:

7. 123

8. 38

9. 68

10. 65

11. 113

12. 52

Step-by-step explanation:

Answer:

7) 123°

8) 38°

9) 68°

10) 65°

11) 113°

12) 52°

Answer:

30

%

d

e

c

r

e

a

s

e

Step-by-step explanation: