Answer:1300
Step-by-step explanation:
in a week =25$
a year has 52wks
so...52×25=1300$in a year
Answer:
$1300
Step-by-step explanation:
$25 / week
52 weeks per year
52($25) = $1300
Hope this helps :)
What is mZLQK ?
Enter your answer in the box.
Dº
Answer:
45
Step-by-step explanation:
The sum of angle in a straight line is 180
=> 3n + (4n - 15) + 90 = 180
3n + 4n + 75 = 180
7n = 180 - 75 = 105
n = 15
Angle ZLQK = 4n - 15 = 4*15 - 15 = 60 - 15 = 45
1. a 3-ounce can of tomato sauce costs $1.68. in cents, what is the price per ounce ?
2. how many cds can edward buy for $14 each and spend the same amount he would to buy 60 cds for $7 each ?
Answer: 1) 56 cents. 2) 30 CDs
Step-by-step explanation:
1.68 ÷ 3 = 56 cents
60 x 7 = $420
$420/ 14 = 30 CDs
The price per ounce of tomato sauce is 56 cents. Edward can buy 30 CDs for $14 each with the same amount that would buy 60 CDs for $7 each.
To calculate the price per ounce, we take the total cost of the can in cents, which is $1.68 or 168 cents, and divide it by the number of ounces, which is 3 ounces. Thus, the price per ounce is: 168 cents / 3 ounces = 56 cents per ounce.
Edward wants to spend the same amount to buy CDs at $14 each as he would buying 60 CDs at $7 each. The total cost for 60 CDs at $7 each is: 60 CDs x $7/CD = $420. We divide this total cost by the price of one CD at $14: $420 / $14/CD = 30 CDs. Therefore, Edward can buy 30 CDs for $14 each with the same amount of money.
After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?
(-1, 1)
(0, 3)
(1, 1)
(-3, 0)
The vertex is [tex](-1,1)[/tex]
Explanation:
The equation is [tex]f(x)=2x^{2} +4x+3[/tex]
To find the vertex, we need the equation in the form of [tex]f(x)=a (x-h)^{2}+k[/tex]
Dividing each term by 2 in the equation [tex]f(x)=2x^{2} +4x+3[/tex]
[tex]f(x)=2(x^{2} +2x+\frac{3}{2} )[/tex]
Now, completing the square by adding and subtracting 1, we get,
[tex]f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )[/tex]
The first three terms can be written as [tex](x+1)^{2}[/tex],
[tex]f(x)=2[(x+1)^{2}+\frac{1}{2} ][/tex]
Multiplying 2 into the bracket, we get,
[tex]f(x)=2(x+1)^{2} +1[/tex]
This equation is of the form [tex]f(x)=a (x-h)^{2}+k[/tex]
Now, we shall find the vertex [tex](h,k)[/tex]
Thus, [tex]h=-1[/tex] and [tex]k=1[/tex]
Thus, the vertex is [tex](-1,1)[/tex]
Soft Shoes, a shoe store, sold $1,528 of blue slippers last week. If that amount is 11.5% of their total sales, what were their total sales? (Round to the nearest dollar)
Answer:
$13,287
Step-by-step explanation:
As per question, Soft Shoes has sold blue slippers last week for $1,528 which is 11.5% of total sales, In order to find their total sales let us assume that their total sales is 'y'. Now in the form of an equation we write the above statement as:
11.5% of y = $1,528
or
[tex]\frac{11.5}{100}y[/tex] = $1,528
or
0.115 y = $1,528
Dividing the equation by 0.115, we get:
y = [tex]\frac{1528}{0.115}[/tex]
y = $13,286.96
Rounding to the nearest dollar we get:
y = $13,287
Hence their Total Sales will be $13,287.
Solve for a, y=-1/2ax, m=5/2
a = –5
Solution:
Given data: [tex]y=-\frac{1}{2}ax[/tex], [tex]m=\frac{5}{2}[/tex]
The standard equation of a line is y = mx + c.
In the line [tex]y=-\frac{1}{2}ax[/tex] can be written as [tex]y=-\frac{1}{2}ax+0[/tex].
The slope of the line [tex]y=-\frac{1}{2}ax+0[/tex] is [tex]m=\frac{-1}{2}a[/tex].
Given [tex]m=\frac{5}{2}[/tex].
Both are slopes of the line. So,we can equate the both slopes.
⇒ [tex]\frac{-1}{2}a=\frac{5}{2}[/tex]
⇒ [tex]a=\frac{5}{2}\times\frac{-2}{1}[/tex]
⇒ a = –5
Hence the value of a is –5.
How to finish this mathematical equation?
9x+3y=420
1x+6y=296
--------- +
10x+9y=716
P.S. I'm not looking for the answer I'm looking for how to finish the equation
Answer:
Step-by-step explanation:
9x+3y=420 ---------- (eq1)
1x+6y=296 -----------(eq2)
to solve by elimination, we first multiply (eq 1) by 2
(eq1) x 2
2(9x+3y)=2 (420)
18x + 6y = 840 -----(eq 3)
eliminate y term by subtracting (eq2) from (eq3)
(eq 3) - (eq 2)
(18x + 6y) - (1x+6y) = 840 - 296
18x + 6y - 1x-6y = 544
18x - 1x = 544
17x = 544 (divide both sides by 17)
x = 544/17 = 32
Since you said that you are not looking for the answer, i will stop here, but to get the y value, subtitute the value of x which we found, back into eq 1 or 2 to find y
Every force has both of what
Answer:
A force is a vector quantity. As learned in an earlier unit, a vector quantity is a quantity that has both magnitude and direction. To fully describe the force acting upon an object, you must describe both the magnitude (size or numerical value) and the direction.
Step-by-step explanation:
factor the Expression 42x+49
Answer:
[tex]42x + 49 \\ = 7(6x + 7)[/tex]
hope this helps..!
please help me guys, I'm so confused
[tex]\frac{8}{35}[/tex] of all claims were paid in the second month.
Step-by-step explanation:
Step 1; In the first month [tex]\frac{3}{7}[/tex] of all expenses were paid. So to find the expenses that were not paid in the first month we subtract [tex]\frac{3}{7}[/tex] from 1 i.e. 1-[tex]\frac{3}{7}[/tex]= [tex]\frac{4}{7}[/tex]. So in the first month [tex]\frac{4}{7}[/tex] of total expenses were not paid.
Step 2; In the second month [tex]\frac{2}{5}[/tex] of the remaining claims were paid i.e. [tex]\frac{2}{5}[/tex] of the remaining claims which is [tex]\frac{4}{7}[/tex] of the total claims. So to find out the number of claims paid in the second month it's just a case of multiplying [tex]\frac{2}{5}[/tex] with [tex]\frac{4}{7}[/tex].
Fraction of all claims paid in second month = [tex]\frac{2}{5}[/tex] * [tex]\frac{4}{7}[/tex]= [tex]\frac{8}{35}[/tex].
Example; If $ 70,000 was the total claim amount, [tex]\frac{3}{7}[/tex] of that which equals $30,000 was paid in the first month. So $40,000 was still to be paid. In the second month [tex]\frac{2}{5}[/tex] of $40,000 was paid which equals $16,000 paid in the second month which is [tex]\frac{8}{35}[/tex] of total claims i.e. $70,000
F(x) =2x^2+4x+5
Find: f(a)
Answer:
F(a) =2a^2+4a+5
Step-by-step explanation:
just put x= a
Margot used
1
2
pounds of turkey to make
2
3
liters of turkey chili. If Margot's recipe is for 1 liter of turkey chili, how many pounds of turkey will she need to make 4 times the recipe?
Margot needs 3/4 pounds of turkey to make 1 liter of turkey chili. To make 4 liters of turkey chili, which is 4 times the recipe, she will need 3 pounds of turkey.
Margot used 1/2 pound of turkey to make 2/3 liters of turkey chili. To find out how much turkey she will need for 4 liters of turkey chili (4 times the 1-liter recipe), we need to calculate the amount of turkey needed per liter first and then multiply it by 4.
First, we determine the amount of turkey needed for 1 liter by setting up a proportion. Since 1/2 pound of turkey makes 2/3 liters, we have:
1/2 pound / (2/3) liter = x pounds / 1 liter
By cross-multiplication, we find that x = (1/2) * (3/2) = 3/4. Therefore, Margot needs 3/4 pounds of turkey for 1 liter of chili.
To make 4 times the recipe, or 4 liters, Margot will need 4 * 3/4 pounds of turkey = 3 pounds of turkey.
Carol's monthly take home pay is 1500$. She spends $250 a month on food. What is the ratio of food costs to take home dollars?
Answer:
The ratio of food costs to take home is 1 : 6.
Step-by-step explanation:
Given:
Carol's monthly take home pay is 1500$. She spends $250 a month on food.
Now, to find the ratio of food costs to take home pay.
Take home pay = $1500.
Cost of food = $250.
So, getting the ratio:
Cost of food : take home pay
$250 : $1500
[tex]=\frac{250}{1500}[/tex]
[tex]=\frac{1}{6}[/tex]
[tex]=1:6[/tex]
Therefore, the ratio of food costs to take home is 1 : 6.
Final answer:
Carol's food costs to take home pay ratio is 1:6, meaning for every six dollars she takes home, she spends one dollar on food.
Explanation:
To calculate the ratio of Carol's food costs to her take home pay, we compare the amount she spends on food to her total monthly take home pay. This can be represented by the ratio 250:1500 or simplified by dividing both numbers by the common factor of 250, which results in the simplified ratio of 1:6. Hence, for every dollar Carol takes home, she spends about one-sixth of it on food.
43 less then the product of 159 and n
Answer:
159n - 43
Step-by-step explanation:
Write as an equation
159 * n - 43
Multiply
159n - 43
Hope this helps :)
Three lattice points (points with integer coordinates) are chosen at random with replacement (meaning you can select the same point more than once) in the interior of the square defined by $-99 \le x \le 100$ and also $-99 \le y \le 100$. The probability that the area of the triangle thus formed (which may be degenerate) is an integer can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.
This is a combinatorial geometry problem involving the probability of forming a triangle with an integer area from randomly selected lattice points within a square grid. It requires analyzing the properties of lattice point triangles and applying combinatorial mathematics.
Explanation:The problem given discusses the selection of random points within a square on a coordinate system to form a triangle, and it questions the probability of the triangle's area being an integer. This involves combinatorics, geometry, and number theory within the field of mathematics. To approach the problem of calculating the probability that the area is an integer, one must consider the distribution of lattice points and use combinatorial analysis.
Area of a triangle with vertices at lattice points can be expressed using the formula derived from the determinant of a matrix. The triangle's area, if non-degenerate, can be half of the odd integer, which upon doubling to remove the half, leaves an integer area. Thus, the problem reduces to a combinatorial question concerning lattice points, selected at random, and forming a triangle whose twice the area is an odd integer.
However, a direct count of the favorable vs. total possibilities may be complex due to the large number of possible point combinations and the chance of degenerate triangles (where the area is zero). Thus, a systematic probabilistic and combinatorial approach is necessary to resolve this question, likely involving a careful analysis of the geometric configurations and properties of integer triangles on a lattice grid.
When two six-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is not 5.
Answer:
[tex]p(Not\ 5) = \frac{8}{9}[/tex]
Step-by-step explanation:
Given:
Txo six-sided dice are rolled.
Total number of outcomes n(S) = 36
We need to find the probability that the sum is not equal to 5 p(Not 5).
Solution:
Using probability formula.
[tex]P(E)=\frac{n(E)}{n(S)}[/tex] ----------------(1)
Where:
n(E) is the number of outcomes favourable to E.
n(S) is the total number of equally likely outcomes.
The sum of two six-sided dice roll outcome is equal to 5 as.
Outcome as 5: {(1,4), (2,3), (3,2), (4,1)}
So, the total favourable events n(E) = 4
Now, we substitute n(E) and n(s) in equation 1.
[tex]P(5)=\frac{4}{36}[/tex]
[tex]p(5) = \frac{1}{9}[/tex]
Using formula.
[tex]p(Not\ E) + p(E) = 1[/tex]
[tex]p(Not\ 5) + p(5) = 1[/tex]
Now we substitute p(5) in above equation.
[tex]p(Not\ 5) + \frac{1}{9} = 1[/tex]
[tex]p(Not\ 5) = 1-\frac{1}{9}[/tex]
[tex]p(Not\ 5) = \frac{9-1}{9}[/tex]
[tex]p(Not\ 5) = \frac{8}{9}[/tex]
Therefore, the sum of two six-sided dice roll outcome is not equal to 5.
[tex]p(Not\ 5) = \frac{8}{9}[/tex]
I WILL GIVE BRAINLIEST
Answer:
- 6
Step-by-step explanation:
its negative so I divided —12 by 2 to get -6 also You have to get the F by itself so you have to divide the sides by 2 but bringing the negative is important
An adventure game has a number cube with 12 equal-size faces. Each face is labeled with a number from 1 to 12.
What is the probability of rolling a 4 or a multiple of 5?
Enter your answer as a fraction, in simplified form, in the box.
Need the exact answer.
The probability of getting the number 4 and the multiple of 5 is 1 / 4.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that an adventure game has a number cube with 12 equal-size faces. Each face is labelled with a number from 1 to 12.
The probability will be calculated as:-
Number of favourable outcomes = { 4, 5 , 10 } = 3
Number of samples = 12
Probability = 3 / 12
Probability = 1 / 4
Therefore, the probability of getting the number 4 and the multiple of 5 is 1 / 4.
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what is the mean of 35, 39, 39, 43, 43, 44
PLEASE HELP ME QUICKLY SOMEBODY HELP ME!!!
Answer:
40.5
Step-by-step explanation:
[tex] \frac{35 + 39 + 39+ 43 + 43 + 44}{6} = \frac{243}{6} = 40.5[/tex]
Which term best describes the following statement?
You are looking at a map of the United States, and it is
assumed that you already know which direction is north.
OA. Theorem
OB. Conjecture
O C. Common notion
O D. Proof
Theorem .
Basically you already know this, and it can also be proven.
Why an equation in slope-intercept form for the line that passes through (5, 4) and (6,-1)
y = -5x + 29 is the equation of line in slope intercept form for the line that passes through (5, 4) and (6,-1)
Solution:
Given that, line that passes through (5, 4) and (6,-1)
To find: Equation of line in slope intercept form
Let us first find the slope of line
The slope of line is given by formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here given points are (5, 4) and (6, -1)
[tex](x_1, y_1) = (5,4)\\\\(x_2,y_2) = (6, -1)[/tex]
Substituting the values in formula,
[tex]m =\frac{-1-4}{6-5}\\\\m = \frac{-5}{1}\\\\m = -5[/tex]
The equation of line in slope intercept form is given as:
y = mx + c ------------ eqn 1
Where, "m" is the slope of line and "c" is the y - intercept
To find y - intercept, substitute m = -5 and (x, y) = (5, 4) in eqn 1
4 = -5(5) + c
4 = -25 + c
c = 29
Substitute m = -5 and c = 29 in eqn 1 to get equation of line
y = -5x + 29
Thus equation of line in slope intercept form is found
One of the roots of the equation 5x2−36x+t=0 is five times as big as the other root. Find the value of t.
Answer:
t = 36
Step-by-step explanation:
If one of the roots is "a", the equation can be factored as ...
(5x -a)(x -a) = 0
5x^2 -6ax +a^2 = 0
Comparing terms to the given equation, we see that ...
-6ax = -36x
a = 6 . . . . . . . . divide by -6
Then ...
a^2 = t
36 = t . . . . . . . substitute 6 for a
_____
The roots are 6 and 6/5.
An artist uses 49.4 centimeters of decorative molding to make a square picture frame . How long is each side of the frame
Answer:
Each side of the frame is 12.35 centimeters long.
(8x-6)(7x+6) multiple together and simplify
Answer:
56x² + 6x - 36
Step-by-step explanation:
(8x-6)(7x+6) = 8x*(7x + 6) - 6*(7x + 6)
= 8x*7x + 8x*6 - 6*7x - 6*6
=56x² + 48x - 42x - 36
= 56x² + 6x - 36
Emma ran 3 1/2 km while Grace ran 380 m who ran further
Answer:
Emma
Step-by-step explanation:
Emma ran (3 1/2)×(1000 m) = 3500 m compared to Grace's 380 m. 3500 m is farther, so Emma ran farther.
Megan is making quilts that require 11 feet of cloth each. She has 50 feet of cloth. What are the possible numbers of quilts that you can make?
Answer:
4
Step-by-step explanation:
Because the fact the quits are ll feet there are 6 feet left over but that can not make 11 feet quilt
Emma collected 72 apples from the orchard and put an equal number of apples into 6 baskets. Mrs. Doolan wants 3 baskets of apples. How many apples will Mrs. Doolan receive?
Answer:
36 apples
Step-by-step explanation:
First, divide 72 by 6 to find out how many apples are in 1 basket.(Answer 12)
There will be 12 apples in one basket.
Mrs. Doolan wants 3 baskets so multiply 12 by 3 to get 36.
72/6= 12
12X3=36
Answer:36 apples
Step-by-step explanation: dividing that will each be 12 apples in a basket. mrs. doolan will recieve three baskets so 12x3. that will equal 36
The area of a triangle is 15x^4+3x^3+4x^2-x-3 square meters. The length of the base of the triangle is 6x^2-2 meters. What is the height of the triangle?
Answer:
The height of the triangle is: [tex]H = (5x^2 + x +3)[/tex]
Step-by-step explanation:
Here, the area the triangle is given as: [tex]15x^4 + 3x^3 + 4x^2 - x - 3[/tex]
Also, base of the triangle = [tex](6x^2 -2)[/tex]
Let us assume the height of the triangle = H units
Now, AREA of TRIANGLE = [tex]\frac{1}{2} \times B \times H[/tex]
[tex]\implies (15x^4+3x^3+4x^2-x-3 ) = \frac{1}{2} \times ( 6x^2-2) \times H\\\implies H =\frac{ (15x^4+3x^3+4x^2-x-3 )}{(3x^2-1)}[/tex]
Solving by LONG DIVISION, we get:
[tex]H = (5x^2 + x +3)[/tex]
Hence, the height of the triangle is: [tex]H = (5x^2 + x +3)[/tex]
a ladder touches a wall 15ft off the ground, and the base of the ladder is 8 feet from the base of the wall. how long is the ladder
The length of ladder is 17 feet
Solution:
Given that, ladder touches a wall 15 ft off the ground, and the base of the ladder is 8 feet from the base of the wall
To find: length of ladder
The ladder, wall and ground forms a right angled triangle
Where, ladder is "hypotenuse" and "ground' forms the base
The figure is attached below
ABC is a right angled triangle
AC = length of ladder = ?
AB = height of wall = 15 feet
BC = distance between base of ladder and base of wall = 8 feet
Apply pythogoras theorem for right angled triangle
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above theorem,
[tex]AC^2 = AB^2+BC^2[/tex]
Substituting the values we get,
[tex]AC^2 = 15^2 + 8^2\\\\AC^2 = 225 + 64\\\\AC^2 = 289\\\\\text{Take square root on both sides }\\\\AC = \sqrt{289}\\\\AC = 17[/tex]
Thus length of ladder is 17 feet
PLEASE HELP
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Pie Eating Contest or the Chili Cookoff. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Histogram with title Chili Cookoff, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 30, the second goes to 50, the third goes to 40, and the last goes to 10.
The Chili Cookoff would be more skewed.
The Pie Eating Contest would be more skewed.
The Chili Cookoff would be more symmetrical.
The Pie Eating Contest would be less symmetrical.
Answer:
A
Step-by-step explanation:
The interval of 0-19 will increase by 20 of either Hay Bale Toss or Pie Eating Contest.
What is histogram?A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
Given that, a class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Pie Eating Contest or the Chili Cookoff.
Number of students visiting the fair = 20
Age group = 0-16
In the histogram, this age group falls in the first interval which is 0-19.
If all 20 students joined the Hay Bale Toss then the bar of 0-19 of Hay Bale Toss will increase from 40 to 60 and the graph of Pie Eating Contest will remain the same.
If all 20 students joined the Pie Eating Contest then the bar of 0-19 of Hay Bale Toss will increase from 20 to 40 and the graph of Hay Bale Toss will remain the same.
Therefore, only one if the graph's interval of 0-19 will increase by 20 whereas the other graph would remain the same.
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How do you find the difference between 6/8 - 1/7
Answer:to find the difference between 6/8 and 1/7, you need to make the denominators (the bottom numbers) the same. turn 6/8 into 42/56. then turn 1/7 into 8/56. you’ll then do 42/56-8/56. so it’ll be 42-8=36. so it will come out to 36/56, which is (when simplified) is 9/14. your answer will be 9/14.
Step-by-step explanation: