There are 40 GT students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each GT student be able to spend on lunch?

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

She switched the divisor and the dividend when creating an equation to model the problem in step 1.

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

She multiplied the two numerators and the two denominators to generate her product in step 3.

She reduced the improper fraction incorrectly when getting her final answer.

5/16 = 1/3h

Correct steps

Step 1:

h = 5/16 ÷ 1/3

Step 2:

h = 5/16 × 3/1

Step 3:

h = (5*3) / (16*1)

= 15/16

h = 15/16

Incorrect steps:

Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h

5/16 ÷ 1/3 = h

Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h

16/5 × 3/1 = h

Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h

48/5 = h

9 3/5 = h

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2  

Step-by-step explanation:

please give me brain list, please

Answer:

6314

Step-by-step explanation:

Answer: down and left and right and up

Step-by-step explanation:

Answer: Hello! I believe the answer is 25/4. I'm so sorry if this is incorrect!

Answer:

x= -5

Step-by-step explanation:

-3x + 25 = 40

you want to put x terms on one side, numbers on another side

subtract 25 on both sides

-3x = 15

divide both sides by -3

x= -5

please hit the heart button :)

Answer:

well for me I think

Step-by-step explanation:

-3x=40-25

-3x=15

x=15/-3

x=-5

Answer:

total hr worked = 39 + 37 = 76 hr

salary per hr = 110 $

so total salary = 110 * 76 = 8360$

Answer:

The length of SO is 46 units

Step-by-step explanation:

In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point

∵ SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

∴ D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

∴ SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

∴ 13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

∴ x = 2

→ To find the length of SO substitute the value os x in SD and DO

∵ SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

∴ The length of SO is 46 units

Answer:

11 am to 2 pm

Step-by-step explanation:

Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

Answer:

solution given:

A=l w

now

dividing both side by w ,we get

[tex] \frac{A}{w} [/tex]=[tex] \frac{lw}{w} [/tex]

l =[tex] \frac{A}{w} [/tex]

is your answer

Answer:

4.69

Step-by-step explanation:

13.76/4 +1.25

Question:

(a) Write a linear equation that describes the problem

(b). If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

Answer:

a. [tex]0.10x + 0.05y = 500[/tex]

b. 2000 cans

Step-by-step explanation:

We have the following:

[tex]Cost = \$0.10[/tex] per aluminum

[tex]Cost = \$0.05[/tex] per plastic bottle

[tex]Total = \$500[/tex]

Solving (a): The linear equation.

If 1 aluminum can costs $0.10,

x cans would cost $0.10x

If 1 plastic bottle costs $0.05,

y bottles would cost $0.05y

Total Cost:

[tex]Aluminum + Plastic = Total[/tex]

[tex]0.10x + 0.05y = 500[/tex]

b.

If y = 6000.

Solve for x

We have:

[tex]0.10x + 0.05y = 500[/tex]

Substitute 6000 for y

[tex]0.10x + 0.05* 6000 = 500[/tex]

[tex]0.10x + 300= 500[/tex]

Collect Like Terms

[tex]0.10x = 500 - 300[/tex]

[tex]0.10x = 200[/tex]

Solve for x

[tex]x = 200/0.10[/tex]

[tex]x = 2000[/tex]

Answer:

75..............................

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

The probability that at least 3 will file bank loans next year :

[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]

Hence, the required probability= 0.6841

Answer:

Step-by-step explanation:

P(x)=S(x)-C(x)

0.8=9-C(x)

C(x)=9 -0.08

C(x)=8.92

Answer:

1. a

2.c

3.d

4.c

5.b

6.d

Step-by-step explanation:

Answer:

2 3/4

Step-by-step explanation:

Answer:

irene spent $23.45

Step-by-step explanation:

Cost of gas = $3.50 per gallon = 350 cents

Quantity of  gas = 6.7 gallons

Amount spent = Cost * Quantity

Amount = 350 * 6.7

Amount = 2345 cents

Amount = $23.45

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

Answer:

-56

Step-by-step explanation:

6-91=

-85

2-31=

-29

-85--29=

-56

Answer:

-56

Step-by-step explanation:

Answer:

I believe the answer is 13 times I'm not positive but 12 tsp is 2 oz so I think 13 would make up for the other part

Step-by-step explanation:

If I'm wrong I'm sorry

Answer:

3

Step-by-step explanation:

9 / 54 = x / 18

x = 3

====================================================

Explanation:

Original list = {56,34,45,65,67,56,45,36,92,73,92,45,56}

Sorted list = {34,36,45,45,45,56,56,56,65,67,73,92,92}

We see that 45 and 56 both occur three times each, and this is the most occurring or most frequent. So the mode is the set {45, 56}. It is possible to have more than one mode. It is also possible to not have a mode at all if each value in a list only occurs one time.

Answer:

its between 56 and 45 and i havent rlly done this since 5th or 6th grade so

Step-by-step explanation:

Answer:

The original price of the item is $28.

Step-by-step explanation:

So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.

So:

First convert 25% to a decimal, 0.25.

OP(original price) = 21 ÷ 1 - 0.25 =

1 - 0.25 = 0.75

21 ÷ 0.75 = 28.

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz

Answer:

y=-12+1

hopes this hwlps

Answer:

y=-12x+6

Step-by-step explanation:

There is enough information to write this equation in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The given slope is -12 and the given intercept is 6.

[tex]y=mx+b\rightarrow \boxed{y=-12x+6}[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

The scale factor is two since it's 2 times bigger than the actual figure.

Proof:

A to B = 4 units

A' to B' = 8 units

A to C = 3 units

A' to C' = 6 units

See how it keeps multiplying by 2.

4 x 2 = 8

3 x 2 = 6.

Ace Carlos

Answer:

y=1/3x+4

Step-by-step explanation:

Slope = 1/3

y=1/3x-b

Through (6,-2)

-2=1/3(6)-b

-2=2-b

-4=-b

b=4

y=1/3x+4

Hope this helps!