Answer:
15 apples
Step-by-step explanation: if you need 10 apples for two quarts, then you need 5 for 1. add those together and you get 15
A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions of this field.
ANSWER
w=48,l=60
EXPLANATION
Let the width of the field be, w , then,
the length of the field will be:
[tex]l = 12 + w[/tex]
The area of a rectangle is
[tex]Area = lw[/tex]
This implies that:
[tex]w(12 + w) = 2880[/tex]
Expand
[tex] {w}^{2} + 12w = 2880[/tex]
[tex] {w}^{2} + 12w - 2880 = 0[/tex]
[tex](x + 60)(x - 48) = 0[/tex]
This implies that,
[tex]w = - 60 \: w = 48[/tex]
The dimensions are positive, the width is 48 and the length is 12+48=60
A box is 4 inches wide, 5 inches long and 3 inches tall what equation could be used to find the surface
The equation for surface area of a box is
[tex]a = 2(wl + hl + hw)[/tex]
So if we substitute the measurements into the equation we get
[tex]a = 2(4 \times 5 + 3 \times 5 + 3 \times 4)[/tex]
and with some calculations, that would equal
[tex]a = 2(20 + 15 + 12)[/tex]
[tex]a = 2(47)[/tex]
[tex]a = 94[/tex]
The total area for the box is 94 inches². Hope this helps!
I need help with #5 an explanation might be nice too!! (will give brainliest!) and 50 points.
Answer:
2600 yd cubed
Step-by-step explanation:
13 times 20 is 260
260 times 10 is 2600
22+n=−12 what is n??
PLEASE ANSWER QUICK I NEED IT IN THE NEXT TWO MINUTES AHHHH I WILL MAKE YOU BRAINLIEST AND GIVE TEN POINTS!!
Answer:
22 + n = 12 N= 10
Step-by-step explanation:
If you were to subtract 22 from 12 you would get 10. If you would like to guess and check you could add 10 and 12 to make sure its 22!
-34
22+-34=-12 N=-34
If you add 22 by -34 your answer will be -12
Hope this helps
(APEX)
You run two races.
Let event A = You win the first race.
Let event B = You win the second race.
What does P(BIA) represent?
Answer:
C The probability that you win the second race given that you won the first race
Step-by-step explanation:
P(B|A) means the probability of B occurring given that A has occurred.
The probability that you win the second race given that you won the first race
Answer:
c.
Step-by-step explanation:
Because it says p(b/a) so that would be
Probability= you win the second race given that you win the first race
What is the following product? 3√2(5√8-7√3)
Answer:
3√2(5√8-7√3) = 60 - 21√6
Step-by-step explanation:
We need to find the product of 3√2(5√8-7√3). The distributive property states that: A(B+C) = AB + AC.
Then, by using the distributive propertive we have that:
3√2(5√8-7√3) = 3√2 * 5√8 - 3√2 * 7√3 = 15√8√2 - 21√2√3.
Also, we know that: √A√B = √AB. Using this:
15√8√2 - 21√2√3 = 15√16 - 21√6 = 60 - 21√6.
Answer:
The correct answer is 60 -21√6
Step-by-step explanation:
It is given that,
3√2(5√8 - 7√3)
To find the product
We have
3√2(5√8 - 7√3) = 3√2(5√8) - 3√2(7√3)
= 3*5√(2 * 8) - 3 * 7 √2 * 3
= 15√16 - 21√6
= 15 * 4 - 21√6
= 60 -21√6
Therefore 3√2(5√8 - 7√3) = 60 -21√6
The correct answer is 60 -21√6
What statement about triangles is not true?
Well you haven’t gave me any examples so I will just list some:
All sides add up to 360 degrees They have 4 sidesThere is only one type of triangle And there many moreWhat is the greatest common factor of 42 and 84
I believe the answer is 42.
A factor for both 42, and 84 is 42 so that would be the greatest number
The greatest common factor of 42 and 84 is 42.
What is the greatest common factor of 42 and 84?A factor refers to a number or an algebraic expression that divides another number or expression evenly, that is, with no remainder.
42 = 1, 2, 3, 6, 7, 14, 21 and 42.
84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
Hence, the greatest common factor of 42 and 84 is 42
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please help!! Factor completely 36x2 − 25.
36x^2-25
use the formula a^2-b^2=(a+b)(a-b)
a=6x b=5
therefore the answer is (6x+5)(6x-5)
HELP ASAP FIRST CORRECT ANSWER GETS BRIANLEST.
solve for the angle C. A=110° B=×° C=(×+10)
Answer:
a = 110
c = 30+10
b = 30
Step-by-step explanation:
The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becomes 2:3. How many women were in the theater before these three walked in?
A. 5
B. 6
C. 20
D. 21
Answer:
C. 20
Step-by-step explanation:
Let's say M is the original number of men and W is the original number of women.
M / W = 3 / 5
(M+2) / (W+1) = 2 / 3
Let's cross multiply both equations:
5M = 3W
3(M+2) = 2(W+1)
Let's simplify the second equation:
3M + 6 = 2W + 2
3M + 4 = 2W
From the first equation:
M = 3/5 W
Substitute:
3 (3/5 W) + 4 = 2W
9/5 W + 4 = 2W
4 = 1/5 W
W = 20
There were originally 20 women.
Let's check our answer. That would mean that M = 3/5 W = 12.
After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!
Answer C.
The formula d= rt means that the distance traveled is equal to the rare times the time.
Solve d=rt for r
r=d/t Rate is equal to distance divided by time.
Graph the relation shown in the table. Is the relation a function? Why or why not?
A; No; a vertical line passes through two graphed points.
B; Yes; no horizontal line passes through two graphed points.
C; No; a horizontal line passes through two graphed points.
D; Yes; no vertical line passes through two graphed points.
Answer: D; Yes; no vertical line passes through two graphed points.
Step-by-step explanation:
A graph is only considered a function if it passes the vertical line test. The vertical line test is basically when you put a vertical line on any point in the graph, it can’t pass through more than one graphed point. It can only touch the line once. That graph is considered a function because no two points touch a vertical line in the same x-value.
Answer:
Option D.
Step-by-step explanation:
A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.
Vertical line test : According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.
From the given table it clear that the ordered pairs of relation are(-5,-5), (-3,-3), (1,1) and (2,2).
For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.
Therefore, the correct option is D.
An amusement park charges am admission fee of 25 dollars per person , the cost C (in dollars ) of admission for a group of P people is given by the following function.
C(P)=25p
What is the cost of admission for a group of 2 people?
The cost of admission for a group of 2 people is 50 dollars.
The given function C(P) represents the cost C (in dollars) of admission for a group of P people at the amusement park. The function is a simple linear equation with a slope of 25, indicating that the cost of admission increases by 25 dollars for each additional person in the group.
To find the cost of admission for a group of 2 people, we will substitute P = 2 into the function:
C(2) = 25 * 2
C(2) = 50
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Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)
Answer:
[tex]\large\boxed{y=-2x+14}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).[/tex]
[tex]\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:[/tex]
[tex]6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14[/tex]
Answer:
B) y = -2x + 14
Step-by-step explanation:
Solution: y = -2x + 14. To solve this problem, first determine the slope of your line. Since perpendicular lines have slopes that are opposite reciprocals of each other, we know that the slope is -2. Then plug your slope (-2) and point (4,6) into the equation y = mx + b to solve for b. The resulting value for b is 14.
Alberto feeds his fish the same amount of food each day. A 2 ounce jar of fish food flakes has enough food for Alberto to feed his fish for 100 days. how many ounces of food will alberto need for 110 days?
If the 2-ounce jar of fish food is enough for 100 days, then for 110 days you can say: 2/100= 0.02 ounces of fish food per day in 100 days. So, because there are 10 more days, 10 x 0.02= 0.2 So, add 2.0 + 0.2= 2.2. The answer is 2.2 ounces of food.
A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in the shape of a rectangle with vertices at (2, 5) (8, 5) (8, 3) and (2, 3). One bag of mulch covers 6ft2 and costs $5.25. How much will it cost her to cover her garden?
Answer:
$10.50
Step-by-step explanation:
If you draw the points on a grid, you will see that the length of the rectangle is 8 -2 = 6 feet & width of the rectangle is 5 -3 = 2 feet.
Hence the area of the rectangle is 6 * 2 = 12 feet^2
Since one bag cover 6 ft^2, he will need 2 bags to cover 12 ft^2.
Each bag costs 5.25, so 2 bags will cost 5.25 * 2 = $10.50
Gardner will need $10.50 to cover the garden
The cost for the gardener to cover her garden with mulch is $10.50.
First, we need to calculate the area of the garden, which is a rectangle. The area of a rectangle is given by the formula:
[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]
Using the given vertices (2, 5), (8, 5), (8, 3), and (2, 3), we can determine the length and width as follows:
- Length (horizontal distance between (2, 5) and (8, 5)): ( 8 - 2 = 6 ) feet
- Width (vertical distance between (2, 5) and (2, 3)): ( 5 - 3 = 2 ) feet
Now, we calculate the area of the garden:
[tex]\[ \text{Area} = 6 \text{ feet} \times 2 \text{ feet} = 12 \text{ ft}^2 \][/tex]
Next, we need to find out how many bags of mulch are required to cover this area. Since one bag covers 6 ft², we divide the total area by the area covered by one bag:
[tex]\[ \text{Number of bags} = \frac{\text{Total area}}{\text{Area per bag}} = \frac{12 \text{ ft}^2}{6 \text{ ft}^2/\text{bag}} = 2 \text{ bags} \][/tex]
Finally, we calculate the total cost by multiplying the number of bags by the cost per bag:
[tex]\[ \text{Total cost} = \text{Number of bags} \times \text{Cost per bag} = 2 \text{ bags} \times $5.25/\text{bag} = $10.50 \][/tex]
Therefore, the gardener will need to spend $10.50 to cover her garden with mulch.
Which statement BEST explains the relationship among these three facts?
Answer:
The chocolate drink became popular in Europe, because sugar made it taste better.
Hope this helps! :)
Answer:
The chocolate drink became popular in Europe because sugar made it taste better.Step-by-step explanation:
According to the problem, we have the following premises:
Natural chocolate taste bitter.The Spanish began adding sugar to chocolate water.Chocolate houses appeared throughout Europe.From this premises, we can deduct that once The Spanish added sugar to the chocolate, it became popular and Chocolate houses appeared to sell this product. But, only after adding sugar, because before it, people don't like it, because natural chocolate doesn't taste good.
Therefore, the right conclusion among the options would be:
The chocolate drink became popular in Europe because sugar made it taste better.
A lighting Products company has put a new brand of solar lightbulbs on the market the graph shows the estimated revenue in millions of dollars as the selling price of the lightbulb varies.
What selling price is to be expected to produce the maximum revenue
Answer:
$5
Step-by-step explanation:
Answer:
Answer is $5.00.
Step-by-step explanation:
The lighting products company has put a new brand of solar light bulbs on the market.
Graph attached shows the estimated revenue in million dollars at y - axis and selling price of the light bulb represented on x - axis.
Graph analysis
Maximum revenue generated from the graph is given as 3 million dollars.
For this maximum revenue of 3 million dollars price of the bulb was $5.00.
Therefore, $5.00 is the selling price of the bulb for which maximum revenue is expected.
Please Answer if you know this you might know my other ones i really really need help thank you so much They Have More Than 5 Points On Them
Answer:
3,3,6
Step-by-step explanation:
The sides of a triangle are a,b,c
We know a+b< c where a and b are the two smaller sides
3+4 <5 True
4+5 <6 True
3+3 <6 False they are equal. This will not make a triangle
Write the relation as a set of ordered pairs
ANSWER
C. {(-2,-1),(0,1),(2,3)}
EXPLANATION
To write the relation as an ordered pair, we write out the coordinates of the points.
Starting from left to right, the first point has coordinates,(-2,-1).
The second point has coordinates;
(0,1)
The third point has coordinates (2,3).
Therefore the relation as ordered pair is;
{(-2,-1),(0,1),(2,3)}
The correct answer is C.
Find the distance between the points given. (3, 4) and (4, 7) √(10) 3 2√2
Answer:
Step-by-step explanation:
givens
x1 = 3
x2 = 4
y1 = 4
y2 = 7
formula
d = sqrt( (x1 - x2)^2 + (y1 - y2)^2 )
solution
d = sqrt( (3 - 4)^2 + (4 - 7)^2 )
d = sqrt ( 1 + 3^2)
d = sqrt( 1 + 9)
d = sqrt( 10)
what is 2.405 in word form and expanded form
Answer:
Word Form:
two and four hundred five thousandths
_____________________________________
Expanded Form:
2
+ 0.4
+ 0.00
+ 0.005
Step-by-step explanation:
Answer:
2 and 4 hundredths
its right on god
find the solutions to the equation by compelting the square x^2-6x=7
Answer:
The solution set is {-1, 7}
Step-by-step explanation:
Rewrite x^2-6x=7 as x^2 - 6x = 7.
Identify the coefficient of the x term; it is -6.
Halve this coeff (obtaining -3)
Square this result (obtaining 9)
Add 9 to x^2 - 6x and then subtract 9 from the result: x^2 - 6x + 9 - 9
Then we have:
x^2 - 6x + 9 - 9 = 7. Add 9 to both sides, obtaining
x^2 - 6x + 9 = 16
Rewrite x^2 - 6x + 9 as the square of a binomial: (x - 3)^2
Then we have
(x - 3)^2 = 16
Taking the square root of both sides, we get
x - 3 = ±4, so that: x = 3 + 4 = 7, and x = 3 - 4 = -1.
The solution set is {-1, 7}.
Answer:
To complete the square x^2-6x=7
We take the coefficient of X which is -6
divide it by 2 -3
square that number 9
then add it to both sides of the equation.
x^2 -6x + 9 = 16
(x -3) * (x -3) = 16
We take the square root of both sides:
a) x-3 = 4
b) x-3 = -4
Therefore, x = 7 and x = -1
Step-by-step explanation:
Find the value of x (show work).
17. 144+x2=484
X2=Earp
16.
tan(angle) = Opposite leg / adjacent leg
tan(36) = 12 / x
x = 12 / tan(36)
x = 16.5166
Round answer as needed.
17.
sin(angle) = Opposite leg / Hypotenuse
sin(x) = 12/22
x = arcsin(12/22)
x = 33.056 degrees.
Round answer as needed.
You do not say how the answers need to be rounded, so please round them as needed.
A man can make 12 birdhouses in eight hours how many hours will it take to make 30
To find out how long it will take to make 30 birdhouses, first find the man's rate of work (1.5 birdhouses per hour) by dividing the total number of birdhouses he can make in eight hours (12) by the time (8 hours). Then divide the total number of birdhouses needed (30) by the rate to find the total time needed
Explanation:The question is asking how long it will take a man to make 30 birdhouses if he can make 12 birdhouses in eight hours. This is a classic rate problem in mathematics that can be solved by setting up a ratio. The first step is to find the rate of work that the man can perform. If the man can make 12 birdhouses in eight hours, then the man can make 1.5 birdhouses in one hour (12 birdhouses ÷ 8 hours).
Next, we want to find out how many hours it will take to make 30 birdhouses. Since his rate is 1.5 birdhouses per hour, we can divide the total number of birdhouses needed (30) by the rate (1.5 birdhouses per hour), which yields 20 hours.
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x = 20 hours.
To find out how many hours it will take to make 30 birdhouses, we can set up a proportion using the given information:
12 birdhouses / 8 hours = 30 birdhouses / x hours
Cross multiplying gives us: 12 × x = 30 × 8
Therefore, x = 20 hours.
What is the standard deviation of the data set given below 5 7 9 11 13
Answer:
3.1623 (sqrt(10))
Step-by-step explanation:
Standard Deviation is calculated by first squaring the differences between the observations and the mean and then taking the square root of the sum of the squares of the differences divided by the number of observations - 1.
Mean = Sum of Observations/Total Observations
Mean = (5 + 7 + 9 + 11 + 13)/5 = 45/5 = 9.
Square of the mean = 9^2 = 81.
Now subtracting the mean from each observation and squaring it gives:
(5 - 9)^2 = (-4)^2 = 16
(7 - 9)^2 = (-2)^2 = 4
(9 - 9)^2 = (0)^2 = 0
(11 - 9)^2 = (2)^2 = 4
(13 - 9)^2 = (4)^2 = 16
Sum of squares = 16 + 4 + 0 + 4 + 16 = 40.
Standard deviation = sqrt(40/4) = sqrt(10) = 3.16 (correct to 2 decimal places).
Therefore, answer is 3.16!!!
Answer:
sqrt 10
Step-by-step explanation:
a-p-e-x
Write four hundred and twenty-six thousandths in decimal form.
0.426 is the decimal form.
Four hundred and twenty-six thousandths written in decimal form is 0.426. The 'thousandth' place value is three decimal places to the right, which informed our conversion.
Explanation:The student's question, 'Write four hundred and twenty-six thousandths in decimal form' relates to the concept of place value in mathematics. Writing numbers in decimal form is the process of expressing a number in terms of units, tens, hundreds, etc.
Now, to write four hundred and twenty-six thousandths in decimal form: we know that 'thousandths' refers to a place value that's three places to the right of the decimal. Therefore, four hundred and twenty-six thousandths will be written as 0.426 in decimal form. This is because the digit '4' represents four-tenths, '2' for twenty-hundredths, and '6' for six-thousandths.
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the median and mean of these numbers:
8, 14, 13, 12, 14, 15
20 POINTS ANSWER FASTTT
Answer:
Mean : ≈ 12.7
Median: ≈ 13.5
Step-by-step explanation:
To find the mean you must add all the numbers and divide by the # of numbers in the set.
8+12+13+14+14+15 = 76
76/6 ≈ 12.7
To find the median you have to order the numbers from least to greatest, the middle number should be the median, but in this case two numbers are in the middle.
8, 12, 13, 14, 14, 15
So you have to add 14 and 13, which is 27.
Then divide by 2 which is ≈ 13.5
Can someone check my answer please and thank you
im ppretty sure thats correct. Im not a genius though.
Answer:
294 m² is correct
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the height and a, b the parallel bases
here h = 21, a = 21 and b = 7, thus
A = [tex]\frac{1}{2}[/tex] × 21 × 28 = 294 m²