Answer:
Step-by-step explanation:
they are prime to eachother.
There is only one common factor .i.e.,1
45=1×3×3×5
272=1×2×2×2×2×17
Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Explain about the shape of cylinder:A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.
Given that-
diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ftVolume of cylinder = πr²h
Volume of cylinder = 3.14 *5²*18
Volume of cylinder = 3.14*25*18
Volume of cylinder = 1413 ft³
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
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Question 1 of 10
What is the x-intercept of the function graphed below?
The "x-interept" is the point where the graph crosses the x-axis.
From here, it looks like this graph crosses the x-axis where x=2 .
So the point is (2, 0) .
That's choice-A .
Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)
The ratio of the sides of rectangle LMNP to the sides of rectangle TUVW is 1:4. The length of LM is 3.6 in, and the length of UV is 16 in.
What is the difference between the areas of the two rectangles?
A. 226 in2
B. 172.8 in2
C. 211 in2
D. 216 in2
What is the slope-intercept form of the following equation?
-3x+2y=12
Options:
2y= 3x+12
y=− 3/2x+6
y= 3/2x+6
y= 3/2x−6
Answer:
y = 3/2x + 6
Step-by-step explanation:
1. Add 3x to both sides (2y=3x+12)
2. Divide both sides by 2 to isolate the y (y=3/2+6)
Stephanie is helping her band collect money to fund a field trip. The band decided to sell boxes of
chocolate bars. Each bar sells for $1.50. Write an equation for the amount of money, m, that will be collected
if b chocolate bars are sold. Which is the independent variable and which is the dependent variable?
Answer:
this depends on how many chocolate bars are in the box. sorry but i need more information
Step-by-step explanation:
HELP ME WITH NUMBER 1 PLEASE!!!!!
Answer:
x > 367
Step-by-step explanation:
set x = # of DVDs they sold
Each DVD costs $15 so the total amount they made is 15x
Since they raised more than $5500
15x > 5500
Divide both sides by 15 to solve the inequality and you get
x > 366.67 and since you can't sell 0.67 of a DVD, round up to get
x > 367 which means that they sold more than 367 DVDs
2. Twenty-two less than a number is - 7. What is the number?
Answer:
15.
Step-by-step explanation:
It said twenty-two less than a number so you subtract. 15-22 is 7.
An altitude of a triangle is a line or segment through a vertex and
to the line containing the opposite side.
Answer:
A. perpendicular
Step-by-step explanation:
Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84PLS HELP ME !!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
All sides make a cube
Answer:
D
Step-by-step explanation:
Which of the following sets of numbers could not represent the three sides of a right triangle?
The set of numbers that could not represent the sides of a right triangle is
{40, 52, 65}.How to determine the side that is not a Pythagorean tripleTo check if a set of numbers can represent the sides of a right triangle, we can use the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).
We can start by checking the first set of numbers:
{40, 52, 65}
= 40² + 52²
= 1600 + 2704
= 4304, and 65² = 4225.
Since 4304 is not equal to 4225, this set of numbers could not represent the sides of a right triangle.
Next, we can check the second set of numbers:
{14, 48, 50}
= 14² + 48²
= 196 + 2304
= 2500, and 50² = 2500.
Since 2500 is equal to 2500, this set of numbers could represent the sides of a right triangle.
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Answer:
{40, 52, 65}
Step-by-step explanation:
A Pythagorean Triple is set of 3 positive integers, {a, b, c}, that satisfy the formula of the Pythagoras' Theorem, a² + b² = c².
A Pythagorean Triple always consists of all even numbers, or two odd numbers and an even number.
When a and b are both even, c is even.When one of a and b is odd and the other is even, c is odd.We can immediately see that {40, 52, 65} is not a Pythagorean Triple since a and b are both even, but c is odd.
x+y=7 in slope intercept form
Answer:
y = -x + 7
Step-by-step explanation:
The slope formula is as follows:
y = mx + b
So, in order to get x + y = 7 into slope intercept form we have to do the following things:
Subtract x from both sidesIf you do this step then your equation should look like this:
y = -x + 7
Hope this helps!!
- Kay
Answer:
y = -x + 7
Step-by-step explanation:
Start with the givenx + y = 7
Use the Subtraction Property of Equality to isolate the y-variablex + y = 7
-x -x
Simplyy = -x + 7
Si Mark ay nakagawa ng 84 na pirasong cookies. Kung ang mga ito ay kaniyang isisilid sa 7 maliliit na kahon. Ilang
pirasong cookies ang laman ng isang maliit na kahon?
1. lláng cookies ang nagawa ni Mark?
2. Ilang maliliit na kahon ang lalagyan ni Mark?
3. Isulat ang division equation:
4. Isulat ang multiplication sentence.
5. Ilang pirasong cookies ang laman ng isang maliit na kahon?
Which prism has a greater volume?
Bill is making accessories for the soccer team. He uses 838.95 inches of fabric on headbands for 32 players and 3 coaches. He also uses 273.28 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
There was 23.29 inches used on a headband for each player.
And 8.54 inches used on a wristband for each player.
To find out how much fabric for headbands and would beused for each player/person you would do
So, if you substitute the values in it is
And finally, to find how much fabric is used on a wristband for each player/person you would use the same formula.
Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
Biết được hàm cầu và hàm tổng chi phí của doanh nghiệp như sau:
P = 12 - 0,4Q
TC = 0,6Q2 + 4Q + 5
Hãy xác định sản lượng tối ưu, giá, tổng lợi nhuận và tổng doanh thu
a) Khi hãng theo đuổi mục tiêu tối đa hoá lợi nhuận
b) Khi hãng theo đuổi mục tiêu tối đa hoá doanh thu
c) Khi hãng theo đuổi mục tiêu đạt doanh thu càng nhiều càng tốt có điều kiện ràng buộc về lợi nhuận phải đạt là 10.
Answer:
English bru?
Step-by-step explanation:
Enter the sum of the numbers as the product of their GCF and another sum.
35 + 56
The sum of the numbers as a product of their GCF is . please help im on a test!
Answer:
8
Step-by-step explanation:
Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).
Label each as a function or not a function.
Answer:
Function, function
Step-by-step explanation:
Each input corresponds to one output. Thus, by the definition of a function, both graphs represent functions
Solve for x and find the measure of Angle D.
A
(6x + 1)
(4x + 15)
X=
Angle D =
degrees
Brick Wall jumped over a brick wall and his traiectory can be modeled by the following function f(x) =- 16(x - 2)? + 8 where f(x) is the height of his jump and x is the horizontal distance.
How high did Brick Wall jump?
How far away from the wall was he when he jumped over the wall?
Why doesn't the y-intercept make sense in the context of this problem?
Brick Wall was about 2.71 feet away from the wall when he jumped over it.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function f(x) = -16(x - 2)² + 8 models the trajectory of Brick Wall's jump, where f(x) is the height of his jump at horizontal distance x.
Now,
The maximum value of the function.
In vertex form:
f(x) = a(x - h)² + k,
where the vertex of the parabola is (h, k) and a determines the shape and direction of the parabola.
So,
a = -16, h = 2, and k = 8.
Since a is negative, the parabola opens downwards, and its vertex represents the maximum point of the parabola.
Therefore,
Brick Wall jumped to a height of k = 8 feet.
Now,
f(x) = 0 and solve for x.
This will give us the horizontal distance at which the jump reaches its maximum height.
So,
0 = -16(x - 2)² + 8
16(x - 2)² = 8
(x - 2)² = 0.5
x - 2 = ±√(0.5)
x = 2 ± 0.71
x = 2 + 0.71
Since
The distance from the wall must be positive.
we have,
x = 2 + 0.71
x = 2.71 feet
Therefore,
Brick Wall was about 2.71 feet away from the wall when he jumped over it.
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Find the equation of the least-squares regression line for the given data. Round values to three decimal places.
x
5
3
4
1
1
2
0
2
3
4
y
10
8
9
1
2
6
1
3
6
8
The equation of the least-squares regression line for the given data is y = 287.325 - 0.358x.
In statistics, the least-squares regression line (LSRL) is the straight line that fits the data points in a way that minimizes the sum of the squared residuals. The least-squares regression line is often used in regression analysis, and it is used to make predictions about future data points that fall within the range of the data set.
The equation of the least-squares regression line for the given data can be found by using the formula: y = a + bx, where y is the dependent variable, x is the independent variable, b is the slope of the line, and a is the y-intercept of the line.
To find the equation of the least-squares regression line for the given data, we need to use the following steps:
Step 1: Calculate the means of the x and y variables.
The mean of the x variable is calculated as follows:
mean(x) = (Σx)/n
where Σx is the sum of all the x values, and n is the number of x values.
mean(x) = (15+20+25+30+35+40)/6
mean(x) = 25
The mean of the y variable is calculated as follows:
mean(y) = (Σy)/n
where Σy is the sum of all the y values, and n is the number of y values.
mean(y) = (201+240+267+301+328+351)/6
mean(y) = 278.333
Step 2: Calculate the slope of the LSRL.
The slope of the LSRL is calculated as follows:
\(b = \sum((x - mean(x)) \times (y - mean(y))) / \sum(x - mean(x))^2\)
where Σ is the sum of all the values in the parentheses.
\(b = ((15-25)\times(201-278.333) + (20-25)\times(240-278.333) + (25-25)\times(267-278.333) + (30-25)\times(301-278.333) + (35-25)\times(328-278.333) + (40-25)\times(351-278.333)) / ((15-25)^2 + (20-25)^2 + (25-25)^2 + (30-25)^2 + (35-25)^2 + (40-25)^2)\)
b = -0.358
Step 3: Calculate the y-intercept of the LSRL.
The y-intercept of the LSRL is calculated as follows:
\(a = mean(y) - b \times mean(x)\)
a = 278.333 - (-0.358) * 25
a = 287.325
Step 4: Write the equation of the LSRL.
The equation of the LSRL is:
y = a + bx
y = 287.325 - 0.358x
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Answer the question please
plsss hurry Solve the application problem. Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard.
A. 1 7/8 yd
B. 7 1/4 yd^2
C. 1 7/8 yd^2
D. 7 1/4 yd
37 city buses can carry a total of 778 passengers. How many passengers can a single bus carry?
Answer:
22 passengers
Step-by-step explanation:
the full answer is 21.02702702702703
Hope this helps!
Brainliest pls
Have a great day!
Answer:
778/37
Step-by-step explanation:
778 divided by 37
21.027027...
or 778/37
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A business owner wants to have the front window of his store painted and is considering two artists for the job. John has quoted a flat rate of $88 for the job. Zachary's quote is $5 per hour, plus $78 to cover the cost of materials. Depending on how long it takes Zachary to paint the window, these two could end up charging the same amount. How long would Zachary have to take? How much would it cost?
If the job takes Zachary hours, the cost would be $ with either artist.
4/3 x 1/64 =??? answer in a fraction
Answer:
1/48
And I hope you can get it right or a 100%
Answer:1/48
Step-by-step explanation:
4/3 x 1/64 =4/192=1/48