Question 5(Multiple Choice Worth 6 points)
(07 02 LC)
Which statement is true for the equation 3x - 3x - 21-22
It has no solution
It has one solution
It has two solutions
It has infinitely many solutions

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

so

[tex]x+y=53[/tex] -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

so

[tex]y=3x-15[/tex] ----> equation B

substitute equation B in equation A

[tex]x+(3x-15)=53[/tex]

solve for x

[tex]x+3x=53+15\\4x=68\\x=17[/tex]

Find the value of y

[tex]y=3(17)-15=36[/tex]

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Final answer:

To solve the problem, we set up an equation where x represents the number of 7th graders and solved it to find that there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.

Explanation:

The problem states that there are 53 students in total on the Jackson Middle School basketball teams, with the number of 8th graders being 15 fewer than three times the number of 7th graders. Let's denote the number of 7th graders as x. Thus, the number of 8th graders is 3x - 15. The total number of students on the basketball teams is the sum of the 7th and 8th graders, which can be represented by the equation x + (3x - 15) = 53.

Solving the equation:
4x - 15 = 53
4x = 68
x = 17 (number of 7th graders)
3x - 15 = 3(17) - 15 = 51 - 15 = 36 (number of 8th graders)
So, there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.

Answer:

L X W=338

Step-by-step explanation:

divid by W so you get L= 338/W

Answer:

because i cant see the true or false parts i can help by giving some basic answers

Step-by-step explanation:

if there are more true or false parts to this question please leave a comment with them so i can hopefully answer them.

Final answer:

Amy's printed picture, which is 225% the size of the original picture with a 4-inch side, would have a new side length of 9 inches, making it larger than the original. The statements truthfully state that the picture is larger and the size scale is 2 ¹/₄ in terms of the sides, but the area would be scaled by the square of the side scale factor.

Explanation:

When Amy prints a square picture at 225% of the original size, and the original picture has a side length of 4 inches, then the new side length can be determined by calculating 4 inches × (225/100). The correct calculation for the side length of Amy's printed picture should be 4 inches × 2.25 (or 225%) which equals 9 inches.

Therefore, the statements should be evaluated as follows:

Answer:

No This is an unique triangle.

Step-by-step explanation:

Given that:

=> it is an isosceles triangle

According to the property of an isosceles triangle, the measurements of the two non-included angle are equal.

=> This is an equilateral triangle because the two non-included angles and include angle ( 180° - 2 *60°)  are 60° .

This is an unique triangle.

Answer:No because you cannot form another triangle out of it. It only makes 1 shape.

Step-by-step explanation:

Answer:

(A) y = 2x

Step-by-step explanation:

hope this helps

Answer:

C

Step-by-step explanation:

All parabolas (U shaped graphs) have domains of All Real Numbers

Answer:They y axis runs up and down so on the verticle lind where is says -2 plotthe point.

Step-by-step explanation:

Answer:

60°, D

Step-by-step explanation:

(140-x)/2=40

140-x=40×2=80

x=140-80=60°

Answer:

[tex]160ms^{-1}[/tex]

Step-by-step explanation:

[tex]d(t)=16t^2\\[/tex]

To work out rate of change of a function, you must differentiate it.

[tex]\frac{\Delta d(t)}{\Delta t} =32t[/tex]

[tex]d'(8)-d'(3)=32*8 - 32*3=32*5=160ms^{-1}[/tex]

Answer:

74cm

Step-by-step explanation:

(28×2)+(9×2)

Brainliest would be appreciated

Answer:

74cm

Step-by-step explanation:

To work this out you would add all the lengths of the sides together.

1) Multiply 28 by 2.

[tex]28*2=56[/tex]

2)Multiply 9 by 2.

[tex]9*2=18[/tex]

3) Add 18 to 56.

[tex]18+56=74[/tex]

The mode is the value that appears most often in a data set. It is a measure of central tendency and is especially useful for describing categorical data or discrete sets. The correct answer is B. mode.

The mode, denoted as B in the options, is the value that occurs most frequently in a given data set. It is a statistical measure used to describe the central tendency of a dataset.

Unlike the mean, which calculates the average, and the median, which identifies the middle value, the mode focuses on the most recurring value. This is particularly helpful in analyzing categorical or discrete data. A dataset may have one mode (unimodal), more than one mode (multimodal), or no mode if all values occur with the same frequency.

Therefore, the mode is a valuable tool for understanding the distribution and characteristics of a dataset. (option B)

The complete question is:

The  ____ is the value that appears most often in a data set.

A. mean

B. mode

C. median

D. range

Answer:

76.2

Step-by-step explanation:

You can use a table like the one I have attached! :)

Answer:

The correct answer is$5.50 for 5

Step-by-step explanation:

5.50/5=1.1

Answer:

The lowest is B) 5.50 for 5

Step-by-step explanation:

To find the lowest rate, divide the cost by how many times.

6.20/ 4 = 1.55 each

5.50/5 = 1.1 each

5.00/ 4 = 1.25 each

1.15/ 1 = 1.15 each

The lowest is B) 5.50 for 5

Answer:

- 7 23/30

Step-by-step explanation:

-2 5/10 + -5 4/15

First simplify the fractions if possible

-2 1/2 + -5 4/15

Then, we need to get a common denominator

The common denominator in this case is 30

-2  1/2*15/15  + - 5 4/15*2/2

-2 15/30 + -5 8/30

Since the signs are alike we add

First the whole numbers

2+5 =7

Then the fractions

15/30+8/30 = 23/30

Add the fraction and the whole number together

7 23/30

Take the sign

- 7 23/30

If the fraction was improper, we would change it to a mixed number and add the whole numbers together

Final answer:

To find the sum of −2 5/10 and −5 4/15, convert them to improper fractions, find a common denominator, add them with the negative signs, and simplify if needed, resulting in −7 23/30.

Explanation:

To find the sum of −2 5/10 and −5 4/15, we first convert the mixed numbers into improper fractions. The first step is to add the whole numbers together, and then add the fractions separately.

Since both numbers are negative, when we add them, the answer will also have a negative sign, following the rule that when two negative numbers add, the answer has a negative sign. We find the common denominator for the fractions, which in this case is 30, and convert them accordingly. After adding the converted fractions, we simplify the result if possible.

To illustrate, for the whole numbers: −2 + (−5) = −7. For the fractions: −(5/10 × 3/3) + −(4/15 × 2/2) = −(15/30) + −(8/30) = −(23/30). Thus, the sum is −(7) − (23/30) or −7 23/30.

Answer:

7

Step-by-step explanation:

Note that

(g - [tex]\frac{1}{g}[/tex] )² = g² - 2 + [tex]\frac{1}{g^2}[/tex] = 51 - 2 = 49

Take the square root of both sides

g - [tex]\frac{1}{g}[/tex] = [tex]\sqrt{49}[/tex] = 7 ← the positive value

Answer:

may be 17.5 yd2

Step-by-step explanation:

1/2 b*h

1/2 5*7

1/2 35

1*35/2

35/2

17.5

Answer:

0

Step-by-step explanation:

tan(60 - 60)

tan(0) = 0

1/10 × 0 = 0

Answer:

2637.00 cubic feet

Step-by-step explanation:

Given object is a hemisphere:

Volume of hemisphere is given as:

[tex]V = \frac{2}{3} \pi {r}^{3} \\ \\ =\frac{2}{3} \times 3.14 \times {(10.8)}^{3} \\ \\ = \frac{2}{3} \times 3.14 \times 1,259.712\\ \\ = \frac{2}{3} \times3,955.49568 \\ \\ = \frac{7,910.99136}{3} \\ = 2,636.99712 \: {ft}^{3} \\ = 2637.00\: {ft}^{3} [/tex]

Answer:

2

6

11

102

Step-by-step explanation:

1^2+2=2

2^2+2=6

3^2+2=11

10^2+2=102

Answer:

brainly have anything and everything that you need just ask the question and it will give the answer that they have

Step-by-step explanation:

Answer:

There are 90° in a quarter circle.

Answer:

90 degrees

Step-by-step explanation:

I believe its 90 degrees because if you have half of a protractor it only goes up to 180 degrees but if you have a whole one (dont know if it exists) you will have 360 degrees but if you put that  into fourths it would result it in being 90 degrees.

Answer:

the answer is b, 1/2.

Step-by-step explanation:

1-0 divided by 4-2 is 1/2

Answer: Fewer

Step-by-step explanation:

Answer:

fewer

Step-by-step explanation:

as you can see in the graph august was at peak of its potential and from there it was going down hill so September came and December so fewer people started attending the public pool.

Answer:

(1/9)

Step-by-step explanation:

Mary can choose from white,red,or pink construction paper to create a heart.

And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.

The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.

The probability that she uses red or pink construction paper = (2/3)

(since red or pink are two out of the total 3 sample spaces available for construction paper)

Probability that she uses black marker = (1/3)

(Black is one of the 3 sample spaces for markers)

Probability that she uses gold glitter = (1/2)

(Gold glitter is one of two sample spaces for glitters)

The required probability is then

(2/3) × (1/3) × (1/2) = (1/9)

Hope this Helps!!!

Answer:

Step-by-step explanation:

hello :

note : y = A sin(Bt + C) + D

• amplitude is A

• period is 2π/B

in this exercice : f(t)= 1/2sin3t

amplitude is A =1/2

period is 2π/3

Answer:

15 inches^2

Step-by-step explanation:

The area of a triangle can be found using:

a=1/2 bh

We know the base (b) is 6, and the height (h) is 5, so we can substitute them in

a= 1/2 (6)(5)

a=1/2 (30)

a=15

The area is 15 inches^2

Hey there!

Solving for equation: y = 9x + 2

Replace (for now) 9x + 2 for y in the equation: y = 3x + 12

y = 3x + 12

↪ 9x + 2 = 3x + 12

ADD by -3 on both of your sides

9x + 2 + (-3x) = 3x + 12 + (-3x)

If you solved that correctly you should get: 6x + 2 = 12

ADD by -2 on both of your sides

6x + 2 + (-2) = 12 + (-2)

Cancel out: 2 + (-2) because it gives you 0

Keep: 12 + (-2) because it helps us solve for our x-interpret

12 + (-2) = 10

NEW EQUATION: 6x = 10

DIVIDE by 6 on your sides

6x/6 = 10/6

Cancel out: 6x/6 because it gives you 1

Keep: 10/6 because it helps us solve for our x-intercept

10/6 = 10÷2/6÷2 = 5/3

Thus our x = 5/3

Solving for y = 9x + 2

Replace x with 5/3 since we found our x

y = 9(5/3) + 2

9(5/3) = 15

15 + 2 = 17

Thus our y = 17

Overall answer: a = 5/3 & y = 17 ✅ (Option D)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]

Step-by-step explanation:

Recall, if we have a polynomial of the form [tex](x-a)^k \cdot (x-b)^m[/tex], then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form [tex](x+5)^10(x-2)^3[/tex] -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial,  just add the multiplicity of both zeros (13 in our example).

In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form

[tex]f(x)=(x-a)(x-b)^2)[/tex].

In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that

[tex] f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2[/tex].

Which implies that [tex] 1 = a\cdot b^2[/tex]. Since the square of any number is a positive number, it must happen that a>0. So, we have that

[tex]b= \pm \sqrt[]{\frac{1}{a}}[/tex].

We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be

[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]

which we can easily check that f(0)=-1.

Answer:

A rectangular prism with a length of 6, width of 2, and height of 4 this is the answer

Answer:

It's B (trust me i just took the test)

Step-by-step explanation: