(SHOW WORK! Need by tomorrow!) Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Two students in Mr. Kelley's class, Tori and Cora, have been assigned a workbook to complete at their own pace. They get together at Tori's house after school to complete as many pages as they can. Tori has already completed 16 pages and will continue working at a rate of 5 pages per hour. Cora has completed 13 pages and can work at a rate of 8 pages per hour. Eventually, the two students will be working on the same page. How long will that take? How many pages will each of them have completed?


After _ hours, Tori and Cora will have each completed _ pages in their workbooks.

Answer: D

Step-by-step explanation:

9x9=81 (base)

(14x9) divided by 2= 63 (one triangular face)

63x4=252 (all triangular faces)

81+252= 333ft2

Answer:

the answer is D, i know i am right.

Step-by-step explanation:

Answer:

Option B on edge 2020 guys

Step-by-step explanation:

:)

Answer:

x = 1.5[tex]t^{2}[/tex]  , y = 3 + 2at.

Step-by-step explanation:

For the parabola [tex]Y^{2}[/tex] = 4aX ,

General form will be

(X = a[tex]t^{2}[/tex] , Y = 2at) ,

Thus , for the parabola [tex](y-3)^{2}[/tex] = 6(x +8)

Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can  use the general equation formula for this parabola also.

Thus , general equation comes out to be :-

x + 8 = 1.5[tex]t^{2}[/tex] , y - 3 = 2at

x = 1.5[tex]t^{2}[/tex]  , y = 3 + 2at.

The number of adult tickets sold is 165 and number of students tickets sold were 35

Solution:

Let "a" be the number of adult tickets sold

Let "s" be the number of student tickets sold

Cost of 1 adult ticket = $ 50.00

Student tickets are 50% less than adult tickets

Cost of 1 student ticket = Cost of 1 adult ticket - 50 % of Cost of 1 adult ticket

[tex]\rightarrow 50.00 - 50 \% \text{ of } 50.00\\\\\rightarrow 50 - \frac{50}{100} \times 50\\\\\rightarrow 50 - 25 = 25[/tex]

Thus Cost of 1 student ticket = $ 25

Given that a concert venue can hold 200 people

So we get,

number of adult tickets sold + number of student tickets sold = 200

a + s = 200 ----- eqn 1

The venue was sold out and made a revenue of $9125 for one event

So we can frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of student tickets sold x Cost of 1 student ticket = $ 9125

[tex]a \times 50.00 + s \times 25 = 9125[/tex]

50a + 25s = 9125 ---- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "s"

From eqn 1,

a = 200 - s --- eqn 3

Substitute eqn 3 in eqn 2

50(200 - s) + 25s = 9125

10000 - 50s + 25s = 9125

-25s = 9125 - 10000

-25s = -875

Substitute s = 35 in eqn 3

a = 200 - 35

Thus the number of adult tickets sold is 165 and number of students tickets sold were 35

Answer:

b. No she will not have enough bracelets for all 32 classmates if she orders 5 more packages of bracelets

Step-by-step explanation:

write out the equation

p=the number of packages she needs to buy

32=5+4p

subtract five from both sides

32-5=5-5+4p

27=4p

dived both side by 4

27/4=4p/4

6.75=p round to 7

Check your answer:

4 x 7 = 28

add the number of bracelets she already has

28 + 5 = 33 bracelets

33>32

So 7 packages is the minimum number of packages she needs to buy

We observe that a line will pass through 3 points, but to find a slope we only need two.

We see that it passes through points (assuming the scale of graph is 1 : 1) [tex]P_1(x_1,y_1)=P_1(0,1)[/tex] and [tex]P_2(x_2,y_2)=P_2(2,-1)[/tex].

We can use slope formula that applies for any line and produce the same slope for any two different points on the line

[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{2-0}=-1[/tex]

So the slope is -1 also it intersects y-axis at [tex]n=1[/tex] so the general form of the linear function is

[tex]f(x)=mx+n[/tex]

That is in your case

[tex]\boxed{f(x)=-x+1}[/tex]

Hope this helps.

Answer:

31

Step-by-step explanation:

[tex]\bf \displaystyle\sum\limits_{j=1}^{10}~2j+7\implies \displaystyle\sum\limits_{j=1}^{10}~2j+\displaystyle\sum\limits_{j=1}^{10}~7\implies 2\displaystyle\sum\limits_{j=1}^{10}~j+\displaystyle\sum\limits_{j=1}^{10}~7 \\\\\\ 2\cdot \cfrac{10(10+1)}{2}~~+~~(10)(7)\implies 2\cdot 55+70\implies 110+70\implies 180[/tex]

Answer:

Each person buys there own so there are elderly costs.

Step-by-step explanation:

A.

x ≤ 5

B.

0 ≤ x ≤ 5

C.

0 ≤ x ≤ 18

D.

x ≤ 18

Answer:

The answer is option C.

0 <= x <= 18

Step-by-step explanation:

To find the domain of the relationship in respect to x, we need to find the value of x.

Since;

youth tickets = $5 and

Adult tickets = $9.

Purchased x youth tickets and y adult tickets cost $90

Purchased x youth tickets and y adult tickets = 5x + 9y = 90

5x = 90 - 9y

to find x we divide both side by 5

x = (90-9y)/5

x = 90/5 - 9y/5

x = 18 - 9y/5

Note that in this equation x and y can only be positive value because that are representing number of legible item (ticket)

Therefore:

X can only fall between 0 and 18.

0 <= x <= 18

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

Multiply

(42.5)(-2)

-85

Hope this helps :)

Answer:

x=8

Step-by-step explanation:

BE=1/2(CD) (it's a theorem that you can find in Google)

So you get:

3x=24

x=8

The question lacks sufficient information to solve for x. An equation or context for x is needed to determine its value.

The question seems to lack sufficient information to provide an accurate solution. When asked to find the value of x, usually an equation or expression involving x is given. This question doesn't provide such an equation or a context for solving for x. It is possible that the information got cut off or may have been miss-transcribed. Please specify the given equation or problem involving x and I will be glad to help.

Learn more about Solving for x here:

https://brainly.com/question/32490578

#SPJ2

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex]\frac{7^{-1}}{7^{-2}}[/tex]

[tex]7^{-1-(-2)}[/tex]

[tex]7^{-1+2}[/tex]

[tex]7^{1}[/tex]

[tex]7[/tex]

I used the following rules:

[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]a^1=a[/tex]

[tex]a \neq 0[/tex]

Answer:

A) (x-2)(x+4)

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

Answer:

a) v = 0

b) b = 7 / 6

c) a = any number

Step-by-step explanation:

a)    7(2+5v)=3v+14

     7 x 2 + 7 x 5v = 3v + 14  .... distributive

     14 + 35v = 3v + 14

     35v - 3v = 14 - 14

      32v = 0

      v = 0 ...... only v value can fit  

b) -3 (3-6b)=6b+5

   -9 + 18b = 6b + 5

   18b - 6b = 5 + 9

   12b = 14

    b = 14 / 12 = 7 / 6

c) 2 (a-2)=2a-4

    2a - 4 = 2a - 4

    2a -4 + 4 = 2a -4 + 4

    2a = 2a

     a = a ........ a cab be any number

Answer: The required probability is 0.004.

Step-by-step explanation:

Since we have given that

Number of pieces = 50

Number of defective pieces = 5

So, we need to draw 2 defective pieces.

So, the probability of drawing 2 defective pieces one after the other on the first and second samples would be

[tex]\dfrac{5}{50}\times \dfrac{4}{49}\\\\=\dfrac{20}{2450}\\\\=0.004[/tex]

Hence, the required probability is 0.004.

Final answer:

Calculating the probability of drawing two defective pieces sequentially from a set of 50 pieces with 5 defectives.

Explanation:

The probability of drawing 2 defective pieces one after the other without replacement:

Find the probability of drawing the first defective piece: 5/50 = 1/10.

Since the pieces are drawn without replacement, the probability of drawing the second defective piece after the first is: 4/49.

Multiply the probabilities: (1/10) * (4/49) = 4/245.

Answer:

[tex]m\angle BOC=30^o[/tex]

Step-by-step explanation:

step 1

Find the measure of angle COD

we know that

[tex]m\angle COF=m\angle COD+m\angle DOF[/tex] ---> by addition angle postulate

we have

[tex]m\angle COF=150^o[/tex] ----> given problem

[tex]m\angle DOF=90^o[/tex] ----> because AD is perpendicular to BF

substitute the given values

[tex]150^o=m\angle COD+90^o[/tex]

[tex]m\angle COD=150^o-90^o[/tex]

[tex]m\angle COD=60^o[/tex]

step 2

Find the measure of angle BOC

we know that

[tex]m\angle BOC+m\angle COD=90^o[/tex] ---> by complementary angles

we have

[tex]m\angle COD=60^o[/tex]

substitute

[tex]m\angle BOC+60^o=90^o[/tex]

[tex]m\angle BOC=90^o-60^o[/tex]

[tex]m\angle BOC=30^o[/tex]

short answer: 30 degrees :)

Answer:

12/25 of the class are boys.

Step-by-step explanation:

12+13=25

12/25

Answer:

12/25, I hope this helped!

Answer:

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]y=-\frac{4}{3}x+2[/tex] ---> equation in slope intercept form

so

Convert to point slope form

subtract 2 both sides

[tex]y-2=-\frac{4}{3}x[/tex]

Rewrite as

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

the slope is [tex]m=-\frac{4}{3}[/tex]

the point is [tex](0,2)[/tex]

Answer:

My answer what I came up with is B And B

Answer:

It is a right angled triangle

Step-by-step explanation:

Since we know that the angles in a triangle always add up to 180°, we take 180°-47°-43° = 90°, a right angle is 90°, thus we know it is a right angled triangle.

Answer:

it is a right triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the base = x inches

So, h = 2x - 1

Area of triangle  = 60 square inches

(1/2) * base *height = 60

(1/2) * x * (2x-1) = 60

x *(2x-1) = 60*2

2x² - x = 120

2x² - x - 120 = 0

2x²  - 16x + 15x - 15*8 = 0

2x ( x - 8) + 15 (x -8) = 0

(x-8) (2x + 15 ) = 0

x- 8 = 0      {ignore 2x +1 as it will give negative value}

x = 8

Base = 8 inches

Height = 2*8 - 1 16 - 1 = 15 inches

Answer:

The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Step-by-step explanation:

Given:

Memberships charges = $60

Cost of 1 book = $7.60

Let number of books be 'b'.

We need to find Total money 'm' spend yearly on buying books after becoming member.

Now we know that 1 book is free for a member.

Total money spend 'm' will be equal to Sum Memberships charges  and Cost of 1 book multiplied by number of books bought yearly minus 1.

Framing in equation form we get;

[tex]m = 60+7.6(b-1)[/tex]

Hence The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Therefore, the final expression for the total cost [tex]\( m \)[/tex] as a function of the number of booksx [tex]\( m \)[/tex] is:

[tex]\[ \boxed{m = \frac{262 + 38b}{5}} \][/tex]

The total cost \( m \) that a student spends after buying \( b \) books and a yearly membership can be calculated using the following formula:

[tex]\[ m = \text{Cost of membership} + (\text{Number of books} - 1) \times \text{Cost per book} \][/tex]

Given that the yearly membership costs $60 and each book after the first free book costs $7.60, we can substitute these values into the formula:

[tex]\[ m = \$60 + (b - 1) \times \$7.60 \][/tex]

Now, let's simplify the expression by converting $7.60 to a fraction to avoid decimals in our calculation:

[tex]\[ m = \$60 + (b - 1) \times \frac{760}{100} \][/tex]

[tex]\[ m = \$60 + (b - 1) \times \frac{38}{5} \][/tex]

[tex]\[ m = \$60 + \frac{38b - 38}{5} \][/tex]

To combine the terms, we need a common denominator, which is 5:

[tex]\[ m = \frac{\$60 \times 5}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300 + 38b - 38}{5} \][/tex]

[tex]\[ m = \frac{262 + 38b}{5} \][/tex]

Answer: Neither of them.

Step-by-step explanation: 7 divided by 3 is 2.3. So that's not right.

3 divided by 7 is 0.42. Also incorrect. 17 of 3? What does that mean? 17 percent of 3? I'm not sure but that's not the answer either be cause 17% or 3 is not 73. None of these choices are correct nor do they make sense.

Answer:

D) 7 divided by 3

Step-by-step explanation:

Hi there! In this problem, two hundred and eighteen divided by thirty one would be 7.032258064516129‬. Like this:

   281 / 31 = 7.032258064516129‬

Hope this answers your question!

(P.S. I could really use Brainliest.....)

Answer:

200+18÷31=200.58062452

200÷31=6.451612903

18÷31=0.5806451613

Answer:

9

Step-by-step explanation:

4*7=28

zyz hope that helps

Answer:

The quantity of gasoline used for 11 hours is 18.37 gallons .

Step-by-step explanation:

Given as :

The quantity of gasoline use by generator = 5.5 gallons

The generator use 5.5 gallons of gasoline for duration = 3 [tex]\dfrac{1}{3}[/tex] hours

I.e The generator use 5.5 gallons of gasoline for duration = [tex]\dfrac{10}{3}[/tex] hours

Let The quantity of gasoline use by generator for 11 hours = x gallons

Now, According to question

Applying unitary method

∵For [tex]\dfrac{10}{3}[/tex] hours of power generate ,The quantity of gasoline use = 5.5 gallons

So For 1 hour of power generate ,The quantity of gasoline use = [tex]\frac{5.5}{\frac{10}{3}}[/tex] gallons

∴  For 11 hours of power generate ,The quantity of gasoline use = [tex]\frac{5.5}{\frac{10}{3}}[/tex] × 11 gallons

i.e For 11 hours of power generate ,The quantity of gasoline use = 1.67 × 11

Or, For 11 hours of power generate ,The quantity of gasoline use = 18.37 gallons

Hence,The quantity of gasoline used for 11 hours is 18.37 gallons . Answer

Answer:

The rate of interest applied on the loan is 2.4%

Step-by-step explanation:

Given as :

The principal amount borrows as loan = p = $4200

The time period of loan = t = 5 years = 5 × 12 = 60 months

The monthly payment for loan = $78.40

So, The payment for 60 months = $78.40 × 60 = $4704

i.e Amount after 60 months = $4704

Let The rate of interest = r at simple interest

Now, From Simple Interest method

Simple interest = [tex]\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}[/tex]

Or, s.i = [tex]\dfrac{\textrm p\times \textrm r\times \textrm t}{100}[/tex]

Or, (Amount - principal) = [tex]\dfrac{\textrm p\times \textrm r\times \textrm t}{100}[/tex]

Or, $4704 - $4200 = [tex]\dfrac{\textrm 4200\times \textrm r\times \textrm 5}{100}[/tex]

Or,504 × 100 = 21,000 × r

∴, r = [tex]\dfrac{50400}{21000}[/tex]

i.e r = 2.4

So, The rate of interest = r = 2.4%

Hence, The rate of interest applied on the loan is 2.4% Answer