Last year, 576 students attended a local middle school. This year, 721 students attended the school. What is the approximate percent increase in the number of students at the school?

Answer:

Yes, because when the values are substituted in, the equation becomes a true statement

Step-by-step explanation:

plug in the values for x and y and see if the equation makes sense

x=3

y=11

1/3(3)+11=12

1+11=12

12=12

Since the above equation is true, the point is a solution for the linear equation.

Answer:

1/80 or 0.01234568

Step-by-step explanation:

Exponentiation: (-3) ^ (-9) = -5.08052634253E-5 = -1/

19683

Exponentiation: (-3) ^ 5 = -243

= -1/

19683

* (-243) = -1 · (-243)/

19683 · 1

= 243/

19683

= 1 · 243/

81 · 243

= 1/

81

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

Answer:

A) [tex]AC=DF[/tex]

Step-by-step explanation:

Given

See attachment for triangles ABC and DEF

Options

A) [tex]AC=DF[/tex]

B) [tex]AB=DE[/tex]

C) [tex]\angle B=\angle E[/tex]

D) [tex]\angle A=\angle D[/tex]

Required

Which does not prove the congruence of ABC and DEF using ASA?

From the attachment, we have the following:

[tex]\angle A = \angle D[/tex] --- Angle

[tex]AB = DE[/tex] --- Side

[tex]\angle B = \angle E[/tex] ---- Angle

The ASA theorem means that 1 side of both triangles are equal.

By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.

However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem

Complete question :

Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.

(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?

(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.

Answer:

y = 17x + 5 ;

9 bracelets ;

Sarah is right

Step-by-step explanation:

Contents per bracelet :

Small charms per bracelet = 12

Large charms per bracelet = 5

Blank spacer charms per order = 5

Number charms, y needed for X bracelets in an order ;

1 order ; x bracelets

12 + 5 = 17 small and large charms

5 = black spacer charms per order

y = 17x + 5

B.)

Order requiring 158 charms, number of bracelets :

y = 158

158 = 17x + 5

158 - 5 = 17x

153 = 17x

x = 153 / 17

x = 9 bracelets

Order requiring 264 charms

y = 264

264 = 17x + 5

264 - 5 = 17x

259 = 17x

x = 259 / 17

x = 15.23 bracelets

Sarah is right, the number of bracelets should be a positive integer and not a decimal.

Answer:

(see below; answers at the bottom)

Step-by-step explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.

Answer:

I believe option 4

Answer:

9 days

Step-by-step explanation:

32-2-2-2-2-2-2-2-2-2 = 14

The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given,

Initial cookie = 32

Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.

Remaining cookies = initial cookies - eaten cookies

Remaining cookies  = 32 - 2d

The day when 14 cookies remain will be,

14 = 32 - 2d

2d = 32 - 14

d = 9

Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).

Answer:Percentage of students who prefer scary movies =35%

Step-by-step explanation:

Number of students who prefer scary movies= 35

Number  of students who love comedies= 65

Total number of students = 65 +35= 100

Percentage of students who prefer scary movies = Number students who prefer scary movies/ total number of students x 100

35/ 100 x 100

0.35 x 100= 35%

Step-by-step explanation:

step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.

step 2. A = P(1 + r/n)^(nt)

step 3. A = 1600(1 + .03/12)^((12)(5)

step 4. A = 1600(1.0025)^(60)

step 5. A = $1858.59

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

Answer:

The answer is option c.

Hope this helps!

Answer:

$462.50

Step-by-step explanation:

:))

Answer:x= 38.079

Step-by-step explanation:

Answer:

no it is not a right angle triangle

Answer:

-13 degrees tell me if it's right

Answer:

-13 is the answer

Step-by-step explanation:

because -5-8= -13

Answer:

We conclude that the value of k represented as a decimal rounded to the nearest tenth is:  [tex]k = 16.8[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

We need to determine the value of k, represented as a decimal rounded to the nearest tenth.

Let us solve the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

Apply cross-function multiply:   if [tex]\frac{a}{b}=\frac{c}{d}[/tex]  then [tex]a\cdot \:d=b\cdot \:c[/tex]

[tex]5k=7\cdot \:12[/tex]

[tex]5k=84[/tex]          ∵ 7 · 12= 84

Divide both sides by 5

[tex]\frac{5k}{5}=\frac{84}{5}[/tex]

Simplify

[tex]k=\frac{84}{5}[/tex]

[tex]k = 16.8[/tex]    (Rounded to the nearest 0.1 or  the Tenths Place)

Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is:   [tex]k = 16.8[/tex]

Answer: This is a CRQ so you will want to answer using R.A.C.E

Step-by-step explanation:

First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."

Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.

But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.

Now you have the total for how much hourly guy will make in a whole year.

Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!

.............................................................................

Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)

.............................................................................

Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.

However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)

Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.

Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.

Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?

Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.

Good luck! send me an email for more help.

Mrs. B

Answer:

angel abcd is not possible

Answer:

can u show the angels?

Step-by-step explanation:

Answer:

do the base are 3 then times that twice

Step-by-step explanation:

Answer:

3 1/2 slices each

Step-by-step explanation:

98/28=3.5

Answer:

Every student will get 3 to 4 slices of pizza

Step-by-step explanation:

This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.

Hope this helped

Answer: illegel input- too many equals signs

Step-by-step explanation:

Answer:

54

Step-by-step explanation: