Answer:
(6 + 9) / 4
Step-by-step explanation: you have to add the costs of the appetizers and the main dish ( 6 + 9 ). then you have to divide the sum by 4 since there are 4 people in total ( /4 ).
Alliance Cannery received an order for 384 cans of food. The order can be made up of a combination of cans of fruit, which are processed at a rate of 24 cans per minute, and cans of vegetables, which are processed at a rate of 64 cans per minute.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Which of the linear equations expresses the situation?
3x + 8y = 384
24x + 64y = 384
64x + 24y = 384
24x + 64y + 384 = 0
Answer:
24x + 64y = 384
The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) and cans of vegetables (y) processed at different rates. We can check the equation by plugging in values of x and y.
The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) processed at a rate of 24 cans per minute and the number of cans of vegetables (y) processed at a rate of 64 cans per minute. The left side of the equation represents the total number of cans processed, and the right side represents the total number of cans in the order, which is 384. We can check this equation by plugging in the values of x and y to ensure that it satisfies the condition of the order. For example, if we plug in x = 4 and y = 3, we get 24(4) + 64(3) = 384, which is true.
For more about Linear Equations:
https://brainly.com/question/32634451
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Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. Choose True or False for each statement.
Answer:
because i cant see the true or false parts i can help by giving some basic answers
Step-by-step explanation:
the new length is 9 in. (4 x 2.25=9, change the percent to a decimal)because it is a square the area of the original is 16 in.^2 and the new area is 91 in.^2you change the percent to a decimalif there are more true or false parts to this question please leave a comment with them so i can hopefully answer them.
Final answer:
Amy's printed picture, which is 225% the size of the original picture with a 4-inch side, would have a new side length of 9 inches, making it larger than the original. The statements truthfully state that the picture is larger and the size scale is 2 ¹/₄ in terms of the sides, but the area would be scaled by the square of the side scale factor.
Explanation:
When Amy prints a square picture at 225% of the original size, and the original picture has a side length of 4 inches, then the new side length can be determined by calculating 4 inches × (225/100). The correct calculation for the side length of Amy's printed picture should be 4 inches × 2.25 (or 225%) which equals 9 inches.
Therefore, the statements should be evaluated as follows:
Amy's printed picture is larger than the original picture. - TrueThe length of the side of Amy's printed picture is 2 ¹/₄ inches. - False, since the correct side length is 9 inches.Amy's printed picture is 22.5 times the size of her original picture. - False, the size in terms of area scales with the square of the scale factor.Amy's printed picture is 2 ¹/₄ times the size of her original picture. - True, if considering the scale factor of the sides, but in terms of area, it would actually be (2.25)² times the original size.The area of a square field is 338 square yards. What is the length of its diagonal
Answer:
L X W=338
Step-by-step explanation:
divid by W so you get L= 338/W
Find the slope
What does m=
Answer:
4/5
Step-by-step explanation:
M=rise/run
Help please.Round to the nearest hundredths
Answer:
2637.00 cubic feet
Step-by-step explanation:
Given object is a hemisphere:
Volume of hemisphere is given as:
[tex]V = \frac{2}{3} \pi {r}^{3} \\ \\ =\frac{2}{3} \times 3.14 \times {(10.8)}^{3} \\ \\ = \frac{2}{3} \times 3.14 \times 1,259.712\\ \\ = \frac{2}{3} \times3,955.49568 \\ \\ = \frac{7,910.99136}{3} \\ = 2,636.99712 \: {ft}^{3} \\ = 2637.00\: {ft}^{3} [/tex]
If g^2+1/g^2=51, find the positive value of g-1/g
Answer:
7
Step-by-step explanation:
Note that
(g - [tex]\frac{1}{g}[/tex] )² = g² - 2 + [tex]\frac{1}{g^2}[/tex] = 51 - 2 = 49
Take the square root of both sides
g - [tex]\frac{1}{g}[/tex] = [tex]\sqrt{49}[/tex] = 7 ← the positive value
Which rate is the lowest price?
A.) $6.20 for 4
B.) $5.50 for 5
C.) $5.00 for 4
D.) $1.15 for each
Answer:
The correct answer is$5.50 for 5
Step-by-step explanation:
5.50/5=1.1
Answer:
The lowest is B) 5.50 for 5
Step-by-step explanation:
To find the lowest rate, divide the cost by how many times.
6.20/ 4 = 1.55 each
5.50/5 = 1.1 each
5.00/ 4 = 1.25 each
1.15/ 1 = 1.15 each
The lowest is B) 5.50 for 5
Combine the like terms to create an equivalent expression 9y+y
hlep me plz
Answer:
10y
Step-by-step explanation:
Answer: the answer would be 10y
Help plz plz plz plz plz plz
Answer:
2
6
11
102
Step-by-step explanation:
1^2+2=2
2^2+2=6
3^2+2=11
10^2+2=102
Answer:
brainly have anything and everything that you need just ask the question and it will give the answer that they have
Step-by-step explanation:
y= 1/10 tan (60– 60)
Answer:
0
Step-by-step explanation:
tan(60 - 60)
tan(0) = 0
1/10 × 0 = 0
Hello:) For partial fractions, is
Quotient = remainder / diviser
a proper fraction?
Answer:
You can represent most things with a partial fraction, anything in the form:
[tex]\frac{f(x)}{(x+\alpha )(x-\beta )}=\frac{A}{(x+\alpha )}+\frac{B}{(x- \beta )}[/tex]
Notice how the roots of the equation from the denominator on the left hand side are used to form the denominations of fractions on the right hand side.
We can now multiply both sides by the denominator on the left hand side.
[tex]f(x)=A(x-\beta )+B(x+ \alpha )[/tex]
We can now setup 2 simultaneous equations by substituting [tex]x[/tex] for your values of [tex]-(- \beta )[/tex] and [tex]-\alpha[/tex] to make [tex]A[/tex] or [tex]B[/tex] 0, allowing you to find the other [tex]A[/tex] or [tex]B[/tex] value.
[tex]f(-\alpha ) = A(-\alpha - \beta) + 0\\f(\beta ) = 0 + B(\beta + \alpha )[/tex]
Write a polynomial f(x) that satisfies the given conditions.
Polynomial of lowest degree with zeros of
(multiplicity 2) and
(multiplicity 1) and with f(0) = -1.
Can someone do this?
Answer:
[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]
Step-by-step explanation:
Recall, if we have a polynomial of the form [tex](x-a)^k \cdot (x-b)^m[/tex], then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form [tex](x+5)^10(x-2)^3[/tex] -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial, just add the multiplicity of both zeros (13 in our example).
In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form
[tex]f(x)=(x-a)(x-b)^2)[/tex].
In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that
[tex] f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2[/tex].
Which implies that [tex] 1 = a\cdot b^2[/tex]. Since the square of any number is a positive number, it must happen that a>0. So, we have that
[tex]b= \pm \sqrt[]{\frac{1}{a}}[/tex].
We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be
[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]
which we can easily check that f(0)=-1.
The Burlington Tigers are having team shirts made. One option is to pay Edward's Tees a $50 setup fee and then buy the shirts for $6 each. Another option is to go to City Printing, paying $40 for a setup fee and an additional $8 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. What is the cost?
Answer:
$56
Step-by-step explanation:
$40+$16(that is, 8+8)=56 and 50+6=56
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
Answer:
A rectangular prism with a length of 6, width of 2, and height of 4 this is the answer
Answer:
It's B (trust me i just took the test)
Step-by-step explanation:
PLEASE HELP! I will give brainliest! If an object is dropped from a tall building, then the distance (in feet) it has fallen after t seconds is given by the function d(t)=16t^2.
Determine the average speed (rate of change) between 3 and 8 seconds.
Answer:
[tex]160ms^{-1}[/tex]
Step-by-step explanation:
[tex]d(t)=16t^2\\[/tex]
To work out rate of change of a function, you must differentiate it.
[tex]\frac{\Delta d(t)}{\Delta t} =32t[/tex]
[tex]d'(8)-d'(3)=32*8 - 32*3=32*5=160ms^{-1}[/tex]
Reflect the given triangle over the line y=x.
A toy store purchases small rubber balls that come in different colors in bulk from a wholesaler. The manager randomly filled the vending machine in the store with some of these balls. The machine has 30 yellow balls, 45 blue balls, and 75 pink balls. Suppose the store purchases a shipment of 2,000 rubber balls. How many balls of each color should be expected in the shipment?
Answer:
400 yellow 600 blue 1000 pink
Step-by-step explanation:
30 yellow balls, 45 blue balls, and 75 pink balls
initial sample = ratio of 2:3:5
Shipment 2000 = 2:3:5 = 400 yellow 600 blue 1000 pink
2+3 + 5 = 10 1) We add up the ratio
2000/10 = 200 2)We apply the ratio total to shipment total
and divide.
2 x 200 = 400 3)We multiply by 200
3 x 200 =600
5 x 200 = 1000
Simple as that.
Answer:
The collection of balls in the vending machine is a random sample of 150 balls. The percentage of balls of each color in the vending machine can be used as a model for the company’s shipment purchases:
P(yellow) =30/150 = 20%
P(blue) = 45/150= 30%
P(pink) =75/150 = 50%
If the store purchases 2,000 rubber balls, then about 2,000(0.2) = 400 should be yellow, 2,000(0.3) = 600 should be blue, and 2,000(0.50) = 1,000 should be pink.
PLATO ANSWER
Which equation is y=-3x2 – 12x – 2 rewritten in vertex form?
y=-3(x + 2)2 + 10
y=-3(x - 2)2 + 10
y=-3(x + 2)2 – 14
y=-3(x - 2)2 - 2
Answer:
the answer is the first one
Step-by-step explanation:
the easiest way is to look at the constant. negitive three multiplies with 2 to get -6. Then it is multiplied with 2 again to get -12. Then add 10 to get -2.
Visitors at Public Pool
Use the drop-down menu to complete the statement.
Based on the data in the line graph, you can predict
there will likely be
y visitors in
December compared to October.
Number of visitors
O
Jan Feb Mar Apr May Jun Jul Aug Sep Oct
Month
Answer: Fewer
Step-by-step explanation:
Answer:
fewer
Step-by-step explanation:
as you can see in the graph august was at peak of its potential and from there it was going down hill so September came and December so fewer people started attending the public pool.
How was figure DEF been transformed to form figure ABC ?
Answer:
90° rotation around (0,0)
Answer:
90 rotation around (0, 0)
Step-by-step explanation:
There are 53 students on the Jackson Middle School basketball teams. The number of 8th graders is 15 fewer than three times the number of 7th graders.
How many 7th and 8th graders are on the basketball teams?
7th graders
-----------------------
8th graders
-----------------------
Answer:
The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36
Step-by-step explanation:
Let
x ----> the number of 7th students on the Jackson Middle School basketball teams
y ----> the number of 8th students on the Jackson Middle School basketball teams
we know that
There are 53 students on the Jackson Middle School basketball teams
so
[tex]x+y=53[/tex] -----> equation A
The number of 8th graders is 15 fewer than three times the number of 7th graders
so
[tex]y=3x-15[/tex] ----> equation B
substitute equation B in equation A
[tex]x+(3x-15)=53[/tex]
solve for x
[tex]x+3x=53+15\\4x=68\\x=17[/tex]
Find the value of y
[tex]y=3(17)-15=36[/tex]
therefore
The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36
Final answer:
To solve the problem, we set up an equation where x represents the number of 7th graders and solved it to find that there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.
Explanation:
The problem states that there are 53 students in total on the Jackson Middle School basketball teams, with the number of 8th graders being 15 fewer than three times the number of 7th graders. Let's denote the number of 7th graders as x. Thus, the number of 8th graders is 3x - 15. The total number of students on the basketball teams is the sum of the 7th and 8th graders, which can be represented by the equation x + (3x - 15) = 53.
Solving the equation:
4x - 15 = 53
4x = 68
x = 17 (number of 7th graders)
3x - 15 = 3(17) - 15 = 51 - 15 = 36 (number of 8th graders)
So, there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.
PLEASE HELPPPP!!!!!
Daniel wants to rent a two-bedroom apartment in Red Pines. The
apartment has a monthly rent of $1,100. He must pay an application fee
which is 2% of 1 month's rent, a credit application fee of $ 10, and a
security deposit of 1 month's rent. First month's rent is expected to be paid
up front. The broker charged a fee of 7% of 1 year's rent. How much is
Daniel expected to pay before he can move into the apartment?
Anita brings 6 dolls to her grandma's house. These dolls represent 20% of Anita's doll collection, as shown in the diagram.
What is the total number of dolls in Anita's doll collection?
Answer:
30 dolls
Step-by-step explanation:
First, divide 100 by the percentage, which is 20, to get the number you need to multiply 6 by. 100/20 = 5. Then, multiply 6 by that number. 6*5 = 30. So, the total number of dolls in Anitas collection is 30.
To check, find 20% of 30 (and make sure it equals 6). To do so, convert 20% to a decimal, which is 0.2. 0.2*30 = 6. So, you have the correct answer.
Answer:
Anita has 30 dolls
Step-by-step explanation:
Let the number of dolls with Anita be x
20% of x = 6
[tex]\frac{20}{100}*x=6\\\\\frac{1}{5}*x=6\\\\x=6*\frac{5}{1}\\\\x=30[/tex]
Anita has 30 dolls
what is the length of arc S shown below
Answer:
s= 11.3 units
Step-by-step explanation:
[tex]s= \frac{ \frac{3\pi}{5} }{2\pi} \times 2\pi \: r \\ \\ s = \frac{{3\pi}}{5 \times 2\pi} \times 2\pi \: \times 6\\ \\ s= \frac{{3}}{5} \times \pi \: \times 6 \\ \\ s= \frac{{18}}{5} \times 3.14 \\ \\ s= \frac{{56.52}}{5} \\ s= 11.304 \: units \\ \huge \red {\boxed{s= 11.3 \: units}}[/tex]
The equation y = 200(1.06)X models an exponential function. Determine if the
function is growth or decay and find the growth or decay rate.
Given:
The given function is
[tex]y = 200(1.06)^x[/tex]
To find whether the function is growth or decay and the growth of decay.
Formula:
The function [tex]a(1+r )^x[/tex] is said to be an exponential growth, if the value of a > 0 and r > 0
Again, the function [tex]a(1-r )^x[/tex] is said to be an exponential decay, if the value of a > 0 and 0 < r < 1.
Now,
[tex]y = 200(1.06)^x[/tex]
[tex]y = 200(1+0.06)^x[/tex]
Thus, the value of a > 0 and r > 0, then the given function is an exponential growth function.
Therefore,
The given function is an exponential growth function.
What is the sum of the numbers in a data set divided by the total number of values in the data set?
A) Mean
B) Center of data
C) Range
D) Median
E) Outlier
Answer:
A) Mean
Step-by-step explanation:
The mean of a data set is one of the ways to calculate the center of tendency, center of data, or the "average".
Example of a set of data: 4, 2, 1, 6
Mean = sum of data / number of data
= (4 + 2 + 1 + 6) / 4
= 13 / 4
= 3.25
Other incorrect answers:
Range - this shows the difference between highest and lowest values in a data set.
Using our example:
highest = 6; lowest = 1
Range = highest - lowest
= 6 - 1
= 5
Median - this shows the "middle" of data if you lined them up from least to greatest, and found the number in the middle.
Using our example:
4, 2, 1, 6
1, 2, 4, 6 Reorder from least to greatest
1, 2, 4, 6 Focus on the middle
(2 + 4)/2 = 3 Find the mean of the two middle numbers
Median = 3
Outlier - this names a piece of data that is far off from what the rest of the numbers are
In our example, we have no outliers.
However, if the data was 4, 2, 1, 6, 20
Then the outlier would be 20.
What is the area of the figure?
20.0 yd
17.5 yd2
19.1 yd
35.0 yd2
Answer:
may be 17.5 yd2
Step-by-step explanation:
1/2 b*h
1/2 5*7
1/2 35
1*35/2
35/2
17.5
Can more than one triangle be drawn with two side lengths of 6 inches and a nonincluded angle of 60°? Explain?
Answer:
No This is an unique triangle.
Step-by-step explanation:
Given that:
Two side lengths of 6 inches=> it is an isosceles triangle
According to the property of an isosceles triangle, the measurements of the two non-included angle are equal.
In this situation, a non included angle of 60°=> This is an equilateral triangle because the two non-included angles and include angle ( 180° - 2 *60°) are 60° .
This is an unique triangle.
Answer:No because you cannot form another triangle out of it. It only makes 1 shape.
Step-by-step explanation:
How many degrees are in a quarter circle?
o 25°
40°
o 90°
100°
Answer:
There are 90° in a quarter circle.
Answer:
90 degrees
Step-by-step explanation:
I believe its 90 degrees because if you have half of a protractor it only goes up to 180 degrees but if you have a whole one (dont know if it exists) you will have 360 degrees but if you put that into fourths it would result it in being 90 degrees.
will give brainliest
Answer:
15 inches^2
Step-by-step explanation:
The area of a triangle can be found using:
a=1/2 bh
We know the base (b) is 6, and the height (h) is 5, so we can substitute them in
a= 1/2 (6)(5)
a=1/2 (30)
a=15
The area is 15 inches^2