The model below shows the product of two fractions. Which expression does the
model represent?

Answer:

$2,702.82

Step-by-step explanation:

The formula for simple interest is

I = Prt

where

I = interest amount

P = amount invested (the principal)

r = annual rate of interest

t = time in years

11.3% = 0.113 as a decimal

Now we use the formula to find the amount of interest earned.

I = $1,205 * 0.113 * 11

I = $1,497.82

The interest amount is $1,497.82.

Now we add the earned interest to the principal amount.

$1,205 + $1,497.82 = $2,702.82

Answer:

4

Step-by-step explanation:

The independent variable is the variable used to explain the dependent variable.

The researcher wants to know how the seasons (independent variable) affects ice cream sales (dependent variable).

The researcher would regress ice cream sales against each season. There are four seasons, so the independent variable would be four

Answer:

$35 per ticket

Step-by-step explanation:

1120 divided by 32 is 35, I used a calculator. If you divide the cost by the quantity you will get the cost for one quantity

Answer:

2

Step-by-step explanation:

√4 = 2

Answer:

The given equation is -2x^2 = -8x + 8

This can be rewritten as 2x^2 - 8x + 8 = 0

Here the value of a =2, b = -8 and c = 8

Discriminant = b^2 - 4ac

Now plug in the above values in the discriminant, we get

= (-8)^2 - 4*2*8

= 64 - 64

= 0

Here the discriminant is 0, so we will get one real root.

The discriminant is equal to 0, which means the equation has one real number solution.

Hope this will helpful.

Thank you.

Answer:

A.) 16.75

Step-by-step explanation:

First, find the volume of each mold:

[tex]Cylinder_{volume}[/tex] = πr²h

Where,

π = 3.14

r = 2 in

h = 4 in

[tex]Cylinder_{volume} = 3.14*2^2*4 = 50.24 in^3[/tex]

[tex]Sphere_{volume}[/tex] = ⁴/3πr³

Where,

π = 3.14

r = 2 in

[tex]Sphere_{volume} = \frac{4}{3}*3.14*2^3 = 33.49 in^2[/tex]

Approximate difference in the amount of wax needed = 50.24 - 33.49 = 16.75 in^3

Answer:

A

Step-by-step explanation:

Answer: Length of RS = 13

Step-by-step explanation: Segment is a line connecting two points.

Length or Distance of a segment is the distance between these two points and is calculated as:

[tex]d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

For the line RS:

[tex]d=\sqrt{[1-(-4)]^{2}+[9-(-3)]^{2}}[/tex]

[tex]d=\sqrt{(1+4)^{2}+(9+3)^{2}}[/tex]

[tex]d=\sqrt{(5)^{2}+(12)^{2}}[/tex]

[tex]d=\sqrt{25+144}[/tex]

[tex]d=\sqrt{169}[/tex]

d = 13

The length of segment RS is 13 units.

Answer:

^ Answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

A). y = |2x - 3| + 1

  Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).

  From the graph,

  Domain : (-∞, ∞)

  Range : [1, ∞)

B). Table of the input-output values of the function,

  y = x² - 2x + 1

  x         -2         -1           0         1          2

  y          9          4           1         0          1

 By graphing the function as attached,

 Domain of the function : (-∞, ∞)

 Range of the function : [0, ∞)

C). x² + y² = 3²

 Domain of the function : [-3, 3]

 Range of the function : [-3, 3]

D). x = 5

 Domain of the line : [5, 5]

 Range of the line : (-∞, ∞)

Answer:

Hey there!

Rhianna has 1/2 of a box of pencils left after using some at school.

The bottom two boxes would be 3÷3=1.

Let me know if this helps :)

Answer:

Step-by-step explanation:

There are 6 spaces and three are shaded

= [tex]6\div 3 = 2\\[/tex]

Answer: a. y=5

b. RS = 37 ,  ST =16 and RT = 53 .

Step-by-step explanation:

Given: On number line we have,

RS = 7y + 2, ST = 2y +6, and RT = 13y - 12.

a. Since its on number line so we have

RT = RS+ ST

i.e. 13y - 12 = (7y + 2) + ( 2y +6)

⇒ 13y - 12 = 7y + 2 + 2y +6

⇒  13y-12 = 9y+8

⇒    13y-9y = 8+ 12   [Subtract 9y from both sides and add 12 in both sides]

⇒    4y = 20

⇒  y= 5  [Divide both sides by 4 ]

b. Now ,  RS = 7(5) + 2 = 35+2= 37,

ST = 2y +6 = 2 (5)+6 = 10+6 =16,

and RT = 13y - 12  = 13 (5)-12 = 65-12 = 53.

Hence, RS = 37 ,  ST =16 and RT = 53 .

Answer:

Step-by-step explanation:

present value | $741.37 (US dollars)

Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15

Answer:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Step-by-step explanation:

Given that the function is:

[tex]y=f(x)=-x^2+25[/tex]

It is quadratic equation, therefore we can observe that it is a parabola.

The coefficient of [tex]x^{2}[/tex] is negative, therefore it opens downwards.

That means it will have a maximum value.

This maximum value is at the vertex and where x = 0.

Also, vertex is at x intercept.

x intercept is the value of x where we have y = 0 and

y intercept is the value of y where we have x = 0

So, let us put y = 0 first.

[tex]0=-x^2+25\\ \Rightarrow x^{2} =25\\\Rightarrow x =5, -5[/tex]

Therefore x intercepts are at (5, 0) and (-5, 0)

Now, let us put x = 0,

[tex]y=0+25\\\Rightarrow y =25[/tex]

Therefore y intercept is at (0, 25).

It is the point of maximum value (which is 25) and vertex of parabola as explained above.

Kindly refer to the attached image for the graph of given function.

Therefore, correct option is:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Answer:

Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3

Step-by-step explanation:

Answer:

The profit is 937.50$ The manager subtracted 25% from januarary's profit not march's.

Step-by-step explanation:

1000 times 25% is 1250 - 25% = 937.50

Answer:

Step-by-step explanation:

The profit is 937.50$ The manager subtracted 25% from januarary's profit, not march's.

Step-by-step explanation:

1000 times 25% is 1250 - 25% = 937.50

Answer:

45% male teachers

55% female teachers

Step-by-step explanation:

multiply the number of teachers with 100 and divide it by the total number of teachers

Answer:

it's A

Step-by-step explanation:

[tex]6x-3y=36\\\\-3y=36-6x\\\\y=\frac{36-6x}{-3} \\\\y=\frac{36}{-3}-\frac{6x}{-3}\\\\ y=-12 +2x \\ OR\\y=2x-12[/tex]

Answer:

The first digit would go in the tens place.

Step-by-step explanation:

First we estimate the approximate numbers. For 6130 we estimate 6000 and for 153 we estimate almost 150.

So dividing 6000 by 150 would give 40 .

The four would go in the ten's place .

Now check by dividing

         40.1     So the answer is correct. The quotient is 40.12.

[tex]153\sqrt{6139}[/tex]

      612

           190

           153

             37

The first digit would go in the tens place.

The answer is justified. We can easily decide where to place the first digit.

Step-by-step explanation:

explain how you can decide where to place the first diget in the quotiont for 6,139÷135

"Former" means "past", more or less. So he used to be a camper.

Antonym means the opposite.

I would say "future" is more opposite than "past", but "current" works as well too.

Answer:

D. 180cubic cm

Step-by-step explanation:

volume=h*w*L

V=6*5*6

v=180

More members prefer a beach vacation and ski vacation than an adventure vacation.

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

Explanation:

Let's go through the four answer choices to see which one is true.

Answer:

44g

Step-by-step explanation:

Rice is sold in 75-gram packs and 120-gram packs.

74.5  to  75.5                               119.5 to 120.5

lowest possible difference = 119.5 - 75.5 = 120-75-1 = 44g

Answer:

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

Total ratio = 6

Dividing each length based on ratio

length JK = 2/6 * JM

JK = 1/3 * 24

JK = 8

length KL = 1/6 * JM

KL = 1/6 * 24

KL = 4

length KM = 3/6 * JM

KM = 1/2 * 24

KM = 12

Hence the value of KM is 12

Answer:

-10

Step-by-step explanation:

imma be honest all i do is put in different numbers until it is right. But the way to do it is subract 2 by puting it under the negative 3 and you get -5. then multiply the 2 by putting it under the -5. you get -10. and the answer will read r = -10. Therefore r is -10

Answer:

I’m sorry I thought I saw a positive 3, The correct answer would be -10.

Answer:

No. of balloons left with Tarun is MORE than 10

but LESS than 15.

10 < No. of balloons left with Tarun  <15

Step-by-step explanation:

this is problem of inequality . first we will try to write the existing condition in inequality form then apply other situation as given in the problem.

___________________________________________________

let the no . of balloons with Tarun be x

Given  he has is MORE than 15 balloons

thus, in equality it can be represented as

x > 15

he has LESS than 20 balloons

x < 20

combining both we have

15   < x < 20

now he gives 5 of them to sia

so we have to subtract 5 from inequality

he has left with him x-5 , let x-5 be y

thus,

subtracting 5 from each part of inequality

15  -5 < x-5 < 20 -5

10 < x-5 < 15

10 < y <15

Thus, No. of balloons left with Tarun is MORE than 10

but LESS than 15.

Answer:

x'5/3.y1/3 is the correct answer

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

[tex]\rule{130}1[/tex]

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

[tex]\rule{130}1[/tex]

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup[/tex]

When,

[tex]\bullet\: \textsf {x = } \textbf {15} [/tex]

[tex]\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17} [/tex]

[tex]\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.[/tex]

Step-by-step explanation:

2/3=4/6=6/9

your answer is 4/6,6/9

explanation

(2/3)×2=4/6

therefore 4/6 is a multiple of 2/3

(2/3)×3=6/9

therefore 6/9 is a multiple

if we comprise 4/6 & 6/9 we get 2/3

(b) 6/9 and (c) 4/6 are equivalent to 2/3

The fraction is given as:

[tex]\mathbf{Fraction = \frac 23}[/tex]

The equivalent fractions are 6/9 and 4/6, because they can be reduced to 2/3.

The proof is as follows

[tex]\mathbf{Fraction = \frac 69}[/tex]

Divide the numerator and the denominator by 3

[tex]\mathbf{Fraction = \frac{6/3}{9/3}}[/tex]

[tex]\mathbf{Fraction = \frac{2}{3}}[/tex]

Also, we have:

[tex]\mathbf{Fraction = \frac 46}[/tex]

Divide the numerator and the denominator by 2

[tex]\mathbf{Fraction = \frac 23}[/tex]

Hence, 6/9 and 4/6 are equivalent to 2/3

Read more about equivalent fractions at:

https://brainly.com/question/17912

Answer:

3.

Step-by-step explanation:

Rearrange to make it easier:  6*x+3*y-(12)=0

Find like factors and eliminate them: 6x + 3y - 12  =   3 x (2x + y - 4)

So then you get 3 = 0. So y would be 3.

Answer:

Slope: [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1:  Use slope formula to find the slope

[tex]m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}[/tex]

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is [tex]-\frac{1}{3}[/tex]

Answer:

x=8

Step-by-step explanation:

A= x+3

B= x+2

C= x+1

A+B+C=30

[tex]x+3+x+2+x+1=30\\3x+6=30\\3x=30-6\\3x=24\\x=\frac{24}{3}\\x=8[/tex]

ANS: X=8