You would need to divide the money by 2 ( both sisters) to get the equal amount they each need to pay. Then include the extra amount Carlotta owes.
The correct equation would be -28 ÷ 2- (-6)
Answer:
a
Step-by-step explanation:
Marc bought a pair of sneakers and a sweatshirt for $120. If the sweatshirt cost one-half the price of sneakers, find the cost of each
Answer:
The pair of sneakers cost 80 dollars.
The sweatshirt costs 40 dollars.
Step-by-step explanation:
Let x represent the pair of sneakers
Let y represent the sweatshirt
x + y = 120
The sweatshirt costs one-half the price of sneakers, which is represented by:
y = 1/2(x)
Use the substitution method
x + y = 120
x + 1/2(x) = 120
Multiply the equation by 2
2x + x = 240
3x = 240
x = 80
The cost of the sneakers is 80 dollars
To determine the cost of the sweatshirt subtract 120 by 80/
120 - 80 = 40
The cost of the sweatshirt is 40 dollars
Use the graph to find the indicated function value y=f(x). Find f(-2)
Answer:
f(-2)=3
Step-by-step explanation:
we know that
f(-2) is the value of the function f(x) for the value of x equal to -2
so
Observing the graph
For x=-2
f(-2)=3
The result is found by substituting -2 into the equation of the function. Using the provided line of best fit equation, we find f(-2) to be approximately -3207.324, but this is just an approximation.
Explanation:To find f(-2) using the given equations, we first identify the equation associated with the given function, which in this case, is not explicitly provided in the given information. By convention, the general format for a linear function is y=f(x). The value is found by substituting the value of x into the equation and solving for y.
However, since the equation of the function isn't provided but we have details about the line of best fit, we could use that if it closely represents the graph of our function. In the case of the line of best fit given as ŷ = −3204 + 1.662x, we simply plug in -2 for x:
ŷ = -3204 + 1.662*(-2) = -3204 - 3.324 = -3207.324
So, if we were using this line of best fit as a representation for our function f(x), then f(-2) would be approximately -3207.324. Always remember though, that the line of best fit is an approximation and the real value might slightly differ based on the actual function.
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You bought a magazine for $3 and some
candy bars for $2 each. You spent a total.
of $19. How many candy bars did you do
buy?
Answer:
8 candy bars
Step-by-step explanation:
Transform the question to an equation:
3 + 2x = 19
Solve:
2x = 16
x = 8
Check the answer:
3 + 2 (8) = 19
3 + 16 = 19
True
Hello There!
A magazine costs $3 and some candy bars. Let’s represent the number of candy bars as “X”
19-3=16 so that’s how much money is spent on candy bars.
If $16 is spent on candy bars then 8 candy bars were bought.
Kenji and Antwan have jobs that pay differently. Antwan gets paid an hourly wage of $20. Kenji gets paid an hourly
wage of $15 and receives $35 a day in tips.
Both men worked h hours on Tuesday and earned the same amount of money.
if the equation 20h = 15h + 35 models this situation, how many hours did each man work?
Each worked 7 hours
Each worked 1 hour
Each worked 1 day.
Each earned $7.
Answer:
The answer is 7 hours
Step-by-step explanation:
20 times 7 is 140 and 15 times 7 is 105 so 105 plus 35 is 140 hence the answer is 7 hours.
The number of hours that each man works will be 7 hours. Then the correct option is A.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Kenji and Antwan have jobs that pay differently. Antwan gets paid an hourly wage of $20. Kenji gets paid an hourly wage of $15 and receives $35 a day in tips.
Both men worked h hours on Tuesday and earned the same amount of money. If the equation 20h = 15h + 35 models this situation.
Then the solution to the equation will be
20h = 15h + 35
5h = 35
h = 7 hours
The number of hours that each man works will be 7 hours. Then the correct option is A.
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Please help me!!...............
Answer:
50.
Step-by-step explanation:
the range is the lowest number subtracted from the highest; in this case, 93-43.
Which scatterplot shows no correlation?
There are three types of correlation.
1) Positive correlation: Two variables are said to be positively correlated when one variable increase then other variable will also increase or one is decrease then other will also decrease.
2) Negative correlation between two variables means when x is increasing but y is decreasing or vice versa.
3) No correlation: When the is scattred and we won't be able to find any distinct relationship then there will be no relation.
Notice in the first and third graph it has positive slope which means if x is increasing then y is also increasing. So, first and third graph is positively correlated.
Whereas in the second graph if x is increasing then y is decreasing. So, second graph is negatively correlated.
But in the last graph there is no such relationship as the data scattered randomly everywhere in the graph. So, it's shows no correlation.
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The last graph shows no correlation.
Option D is the correct answer.
What is correlation?Correlation is a statistical measure that indicates how strongly two variables are related or associated with each other.
It is a way of expressing the degree to which one variable is related to another variable.
We have,
The correlation is of different types.
- Positive correlation:
As one variable increases, the other variables also increase.
- Negative correlation:
As one variable increases, the other variables also increase.
- No correlation:
The variable increase and decrease as one variable increases.
Now,
We see that,
The last graph shows no correlation.
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Which parent function is represented by the table?
Can someone please help?
Answer:
A. f(x) = x²
Step-by-step explanation:
Observing the values
when x= -2..............f(x)= 4..................this is x²............-2²= 4
when x= -1..............f(x)= 1......................this is x²............ -1² = 1
when x= 0..............f(x)=0.....................this is x².......... 0²= 0
when x= 1.............f(x)= 1........................this is x²........ 1²= 1
When x=2........... f(x) = 2...................... this is x²........ 2² = 4
⇒The first option is correct.
ANSWER
The correct answer is A.
EXPLANATION
We can see from the table that:
[tex]f( - 2) = {( - 2)}^{2} = 4[/tex]
[tex]f( - 1) = {( - 1)}^{2} = 1[/tex]
[tex]f(0) = {(0)}^{2} = 0[/tex]
[tex]f(1) = {( 1)}^{2} = 1[/tex]
[tex]f(2) = {(2)}^{2} =4[/tex]
In general we can conclude that,
[tex]f(x) = {( x)}^{2} = {x}^{2} [/tex]
Therefore the parent function represented by the table is
[tex]f(x) = {x}^{2} [/tex]
Hugh brought some magazines that cost $3.95 each and some some books that cost $8.95 each. He spent a total of $47.65 let m represent the number of magazines and b represent the number of books. Which equation models the situation
Answer:
3.95m + 8.95b = 47.65
Step-by-step explanation:
From this problem, you get quite a handful of information.
The variable "m" represents the # of magazines Hugh bought.
The variable "b" represents the # of books Hugh bought.
One magazine [m] cost $3.95
One book [b] cost $8.95
The total cost of books and magazines is $47.65
Based on the information, you can create an equation with two variables, representing the total cost and how many of each magazine and book Hugh bought.
If one magazine cost $3.95, the amount of money he spent on magazines can be represented by 3.95m.
If one book cost $8.95, the amount of money he spent of magazines can be represented by 8.95b.
And lastly, if the total cost of magazines and books Hugh bought is $47.65, the following equation can be made:
3.95m + 8.95b = 47.65
So, "3.95m + 8.95b = 47.65" is the correct equation. I hope this helps! :)
find the volume in terms of pi
[tex]A=100\pi\text{ ft}^2\\V=?\\\\V=\dfrac{4}{3}\pi r^3\\r=?\\\\100\pi=4\pi r^2\\r^2=25\\r=5\text{ ft}\\\\V=\dfrac{4}{3}\pi \cdot 5^3=\dfrac{500}{3}\pi \text { ft}^3[/tex]
How many point(s) define a space?
Answer:
four pointsStep-by-step explanation:
Two points define a straight line (look at the picture #1).
Three non-collinear points define a plane (look at the picture #2).
Four points not lying in one plane, define space (look at the picture #3).
The probability of winning a particular game at the Game Place is 1 4 14 . Find the odds against winning the game.
Answer:
3:1
Step-by-step explanation:
The probability of winning is
P(win) = 1/4 = winning/ total
1 win
4 total
total - wins = losses
4-1 = 3
There are 3 losses
To find the odds against winning is finding the odds of losing
We need to compare losing to not losing
3:1
what is the percent change from 45 to 56? round to the nearest percent
Step-by-step answer:
Percentage difference = (new value-old value)/old value*100%
=(56-45)/45*100%
=11/45%100%
= 24.4%
Answer: 24
Step-by-step explanation:
its just 24 have the same question ^^
15. If the 8% tax on an item amounts to $0.96, what is the final price (tax included) of the item?
Answer:
The Total including sales tax would equal $1.04.
Step-by-step explanation:
The total tax added is $0.08.
Answer:
$1.04
Step-by-step explanation:
.96*.08=.08
.08+.96=1.04
name the property of equation 8.2 + (-8.2)=0
Answer:
Inverse property of addition.
Your clothing store is open seven days a week from 9 am to 9 pm you are the manager of three employees each of whom want to work at least 24 hours a week. Each employee can work the 9 am to 3 pm shift or the 3 on to 9 pm shift and at least one weekend day. No one can work both shifts on the same day make up a schedule that will meet these requirements
1 represents they are scheduled to work the 9am-3pm shift
2 represents they are scheduled to work the 3pm - 9pm shift
0 represents they are not scheduled to work that day
[tex]\begin{array}{c||c|c|c|c|c|c|c}&Mon&Tue&Wed&Thu&Fri&Sat&Sun\\Employee\ 1&1&1&1&1&0&0&1\\Employee\ 2&0&2&2&2&2&2&0\\Employee\ 3&2&0&0&0&1&1&2\end{array}[/tex]
Employees 1 & 2 will work 30 hours and have 2 days off in a row
Employee 3 will work 24 hours and have 3 days off in a row
Which equation represents the graphed function?
Answer:
y = -2x + 3
Step-by-step explanation:
The three is the y-intercept, so when x=0, y will equal 3. (0,3)
The slope is negative (-2x), because the minus is present infront of x. So the line's going down.
And we can confirm that it's the function
y = -2x + 3 by letting one point in the line from the graph enter the function.
For example (1,1)
1 = -2x + 3. (let y = 1.)
1 = -2(1) + 3 (let x = 1)
1 = 1
so we can see when we let 1 = -2(1) + 3 it equals the y value on the line.
Answer:
Step-by-step explanation:
y= -2x + 3
Which of the possible correlations is not possible?
A. -.65
B. .00
C. 1.00
D. 1.25
Answer:
D. 1.25
Step-by-step explanation:
The values of the correlation coefficient must be between -1 and 1 (they can include -1 and 1)
The only value outside that range is 1.25
1.25 is not a possible correlation coefficient
Given the frequency table, what percentage of the students in grades 9–10 like rap music? Round to the nearest whole percent. Band Preference for School Dance Rap Rock Country Row totals Grades 9–10 40 30 55 125 Grades 11–12 65 20 35 120 Column totals 105 50 90 245
Answer:
32%
Step-by-step explanation:
The given table in the correct format is attached in the image below. We need to tell what percentage of students from the grades 9 - 10 like rap music.
Total number of students in grades 9 - 10 = 125
Number of students in grades 9 - 10 who like rap music = 40
Percentage of students in grades 9 - 10 who like the rap music will be calculated as:
[tex]\frac{\text{Number of students in grades 9-10 who like rap music}}{\text{Total number of students in grades 9-10}} \times 100 \%[/tex]
Using the given values in above expression we get:
[tex]\frac{40}{125} \times 100\%\\\\= 32\%[/tex]
This means 32% of the students in grades 9 - 10 like rap music
Answer:
B: 32% I got it Correct on my test.
Step-by-step explanation:
Hope this helps :)
Mrs. Roberts poured 2 glasses of lemonade. The first glass contained 5 oz of lemon juice and 8 oz of water. The second glass contained 3 oz of lemon juice and 7 oz of water. Which glass of lemonade had a stronger lemon flavor? Show me or explain to me how you know. (Prove to me that your answer is correct!)
Answer:
The first glass
Step-by-step explanation:
I believe that first, you must find the ratio of lemonade to water in each glass.
[Remember that you can write a ratio in 3 ways (assume that x and y are numbers):
x : y
x / y
x to y
Now, our first glass of lemonade can be written as 5/8. If you were to write 5/8 as a decimal, you'd get 0.625.
Now, our second glass of lemonade can be written as 3/7. If you were to write 3/7 as a decimal, you'd get 0.428 (I rounded it to the nearest thousandth.)
0.625 > 0.428
0.625 is greater than 0.428, so therefore, the first glass had a stronger lemon flavor.
I hope this helps! :)
Step-by-step explanation:
The first glass has a total volume of 5 oz + 8 oz = 13 oz. Of the 13 oz, 5 oz is lemon juice, so the fraction of lemon is 5/13.
The second glass has a total volume of 3 oz + 7 oz = 10 oz. Of the 10 oz, 3 oz is lemon juice, so the fraction of lemon is 3/10.
We need to compare these fractions. To do that, we need to find the common denominator. In this case, 10×13 = 130.
5/13 = 50/130
3/10 = 39/130
So the first glass has the stronger lemon flavor.
Which of the following equations is not equivalent to the others?
O y=-3X-4
O y=-3x+(-4)
O y=-4 + 3x
Oy=-4-3x
An angle that measures between 90 and 180° is called a(n)___angle,
Answer:
Obtuse
Step-by-step explanation:
An angle that measures between 90 and 180° is called an obtuse angle.
It must be above 90 degrees and below 180 degrees to be obtuse
Hope this helped!
~Just a girl in love with Shawn Mendes
If f(x)=6x^2-4 and g(x) =2x+2,find (f-g) (x).
Answer:
[tex]\large\boxed{(f-g)(x)=6x^2-2x-6}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=6x^2-4,\ g(x)=2x+2\\\\\text{substitute:}\\\\(f-g)(x)=(6x^2-4)-(2x+2)\\\\=6x^2-4-2x-2\qquad\text{combine like terms}\\\\=6x^2-2x+(-4-2)\\\\=6x^2-2x-6[/tex]
Answer:
6x^2-2x-6 don't listen to these words it has to be 20 characters long
11. The probability that a dessert sold at a certain cafe contains chocolate is 75%. The probability that a dessert containing chocolate also contains nuts is 23%. Find the probability that a dessert chosen at random contains nuts given that it contains chocolate. Round to the nearest tenth of a percent.
The probability that a dessert chosen at random contains nuts given that it contains chocolate is 17.3%.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a dessert chosen at random contains nuts and chocolate - 75% x 23% = 17.3%
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The conditional probability that a dessert contains nuts given that it contains chocolate is approximately 30.7%, calculated by dividing the probability of both events occurring by the probability of the condition (chocolate presence).
The student is asking for the conditional probability that a dessert contains nuts given that it contains chocolate. Since we are given that the probability a dessert contains chocolate (P(C)) is 75%, and the probability that a dessert contains both chocolate and nuts (P(C AND N)) is 23%, we can find the conditional probability (P(N|C)) by dividing the probability of the joint event by the probability of the condition:
P(N|C) = P(C AND N) / P(C)
P(N|C) = 0.23 / 0.75
P(N|C) = 0.3067
Therefore, the probability that a dessert chosen at random contains nuts given that it contains chocolate is about 30.7% when rounded to the nearest tenth of a percent.
-2.08333333 in fraction form
[tex]x=-2.08\overline{3}\\100x=-208.\overline{3}\\1000x=-2083.\overline{3}\\1000x-100x=-2083.\overline{3}-(-208.\overline{3})\\900x=-1875\\x=-\dfrac{1875}{900}=-\dfrac{25}{12}[/tex]
A restaurant bill is $25 and a 20 percent tip should be given to the waiter.Which expression can be used to find the total amount that will be paid?
What is the length of the hypotonic the triangle ?
Answer:
37 ftStep-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have
[tex]lef=12ft,\ leg=35ft,\ hypotenuse=AB[/tex]
Substitute:
[tex]AB^2=12^2+35^2\\\\AB^2=144+1225\\\\AB^2=1369\to AB=\sqrt{1369}\\\\AB=37[/tex]
What’s the answer please
Answer:
d) 6
Step-by-step explanation:
you multiply 3 by 6 because the reciprocal of 1/6 is 6/1
Answer: Last option.
Step-by-step explanation:
When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.
To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.
Then, the reciprocal of the fraction [tex]\frac{1}{6}[/tex] is:
[tex]\frac{6}{1}=6[/tex]
Therefore, you can find the quotient of [tex]3[/tex]÷[tex]\frac{1}{6}[/tex] by multiplying 3 by 6:
[tex]3[/tex]÷[tex]\frac{1}{6}=3*6=18[/tex]
ha diameter of 9 inches?
15. What is the area of a circle with a diameter of
is of 6.8 meters
a. 14.13 inches b. 28.26 inches c. 63
6 What is the volume of a cylinder with a radius of 6.8
and a height of 14 meters?
a. 95.2 meters b. 289.93 meters c. 2032 21
meters
7 What is the volume of a cylinder with a diameter of 5 feet
and a height of 7.4 feet?
b. 145.23 feet C. 580.9 feet
a. 37 feet
5 inches long,
8. How many bricks that are il inches long, 5 inches wide
and 3 inches deep can fit into a crate that is 55 inches lo
20 inches wide, and 12 inches deep?
b. 100
c. 120
a. 80
Question 1:
For this case we have that by definition, the area of a circle is given by:
[tex]A = \pi * r ^ 2[/tex]
Where:
r: It is the radius of the circle.
They tell us that the diameter is 9 inches, then the radius is 4.5 inches. substituting we have:
[tex]A = \pi * (4.5) ^ 2\\A = \pi * 20.25\\A = 63.59[/tex]
Thus, the area of the circle is[tex]63.59 \ in ^ 2[/tex]
ANswer:
Option C
QUestion 2:
For this case we have that by definition, the volume of a cylinder is given by:[tex]V = \pi * r ^ 2 * h[/tex]
Where:
r: It's the radio
h: It's the height
According to the data we have to:
[tex]r = 6.8 \ meters\\h = 14 \ meters[/tex]
Substituting in the formula:
[tex]V = \pi * (6.8) ^ 2 * 14\\V = \pi * 46.24 * 14\\V = 2032.71[/tex]
Finally, the volume of the cylinder is [tex]2032.71 \ m ^ 3[/tex]
Answer:
Option C
Question 3:
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
r: It's the radio
h: It's the height
According to the data we have to:
[tex]r = \frac {5} {2} = 2.5 \ feet\\h = 7.4 \ feet[/tex]
Substituting in the formula:
[tex]V = \pi * (2.5) ^ 2 * 7.4\\V = \pi * 6.25 * 7.4\\V = 145.23[/tex]
Finally, the volume of the cylinder is [tex]145.23 \ ft ^ 3[/tex]
Answer:
Option B
Question 4:
For this case we have that the volume of the bricks comes given by:
[tex]V = 11 * 5 * 3\\V = 165[/tex]
The volume of each brick is [tex]165 \ in ^ 3.[/tex]
On the other hand, we have that the volume of the crate is also obtained by multiplying its three dimensions, that is:
[tex]V = 55 * 20 * 12V = 13,200[/tex]
Thus, the volume of the crate is [tex]13,200 \ in ^ 3[/tex]
We divide the volume of the crate between the volume of the brick to know the quantity:
[tex]\frac {13,200} {165} = 80[/tex]
Thus, 80 bricks fit.
Answer:
Option A
Answer:
5). Option C. 63 inches
6). Option C. 2032.71 m³
7). Option b. 145.23 ft³
8). Option a. 80
Step-by-step explanation:
To find the answers
Question 5
Here r = 9/2 = 4.5
Area of circle = πr²
= 3.14 * 4.5²
= 63.585 ≈ 63
Option c is the correct answer
Question 6
Here r = 6.8 m and h = 14 m
Volume of cylinder = πr²h
= 3.14 * 6.8² * 14
= 2032.71 m² Option C
Question 7
Here r = 6.8 m and h = 14 m
Volume of cylinder = πr²h
= 3.14 * 5² * 7.4
= 145.23 feet² Option b
Question 8
Volume of one brick = lbh
= 11 * 5 * 3
Volume of crate = 55*20*12
number of briks = Volume of crate /Volume of one brick
= (55*20*12)/(11 * 5 * 3)
= 80 Option a
Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sale-tax rate did Sam pay?
Add the cost of the three items:
8 + 5 + 15 = $28
Subtract that amount from the total:
29.82 - 28 = $1.82 ( amount he paid in tax)
Divide the tax amount by the cost of the items:
1.82 / 28 = 0.065
Multiply that by 100:
0.065 x 100 = 6.5% sales tax rate
Complete the statement with the choice that best
describes the relationship between the polynomial
and its rational zeroes.
A polynomial, P, has a leading coefficient of 1 and
a constant term. The rational roots of P are all
_______
1. Factors of the leading coefficient
2. Factors of the constant term
3. Multiples of the constant term
Answer:
Factors of the constant term
Step-by-step explanation:
A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all factors of the constant term.
The correct option is (2).
What is rational roots of a polynomial?The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.
Given statement is:
A polynomial, P, has a leading coefficient of one and a constant term. The rational roots of P are all
We know by Rational Zeros Theorem states:
If P(x) is a polynomial with integer coefficients and if is a zero of P(x)
(P( ) = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).
So, from the above statement it is clear that p is a factor of the constant term.
Hence, The rational roots of P are all factors of the constant term.
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