Ms. Cody needs 45.05 yards of fabric to make 17 pillow.
What is referred as the unitary method?The unitary formula is used to measure the value of one unit given a multiple.The unitary method determines the value of a unit and then calculates the value of a necessary number of units.If we need to calculate the ratio with one quantity to another, we must employ the unitary method.The value of a unit quantity is determined by calculating first in the unitary method before calculating the value of other units. It comes in two varieties.Variation in DirectVariation in the inverseFor the given question;
Ms. Cody needs 2.65 yards of fabric to make one pillow.
For finding yards for 17 pillows, simply multiply the given yards by 17.
For 17 pillows = 17×2.65
For 17 pillows = 45.05
Thus, 45.05 yards of fabric is required to Ms.Cody to make 17 pillows.
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Everyone is order some new supplies for the restaurant where he works the restaurant needs at least 587 knives there are currently 387 nice if it set on cell contains 20 knives
According to the inequality, the number of the cells of the knives the need is a 10 cells.
According to the statement
We have to find that the inequality for the knives which are need to buy.
So, For this purpose, we know that the
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
From the given information:
Everyone is order some new supplies for the restaurant where he works the restaurant needs at least 587 knives there are currently 387 nice if it set on cell contains 20 knives
Then
Number of the knives they need = 587 knives
Number of the knives present = 387
Number of the knives they need = 587 - 387
Number of the knives they need = 200
Then
The cell contains knives = 20 knives
Then
The number of the cells they need = 200/20
The number of the cells they need = 10 cells.
If s is the number of the cells of the knife needs then inequality become
s > 10.
So, According to the inequality, the number of the cells of the knives the need is a 10 cells.
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Bertie placed a transparent grid made up of unit squares over each of the shapes she was measuring below. Using her grid, approximate the area of each region.
The area covered by region 1 is 16 units and that by region 2 is 15 units.
Given the area of a square be 1unit.
So. the number of block completely covered = a
number of block that are coverered approximately half = b .
So, total area covered = 1*a + 0.5 * b
for figure 1.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 8.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 8
= 12 + 4
= 16units
for figure 2.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 6.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 6
= 12 + 3
= 15units
Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.
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The area covered by region 1 is 16 units and that by region 2 is 15 units.
Given the area of a square be 1unit.
So. the number of block completely covered = a
number of block that are coverered approximately half = b .
So, total area covered = 1*a + 0.5 * b
for figure 1.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 8.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 8
= 12 + 4
= 16units
for figure 2.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 6.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 6
= 12 + 3
= 15units
Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.
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Suppose you go shopping for a new futon bed for your room. The model you really like happens to be on sale for $250. It's original price is $500. What percent of the original price will you save if you purchase it?
Round your percentage to one decimal place.
Do not include
%
sign with your answer.
Answer:
Step-by-step explanation:
500-250= 250
there for its half off 50% because its split down the middle, so thats an easy one
translate the verbal phrases into an expressions
7 more than a number b b+
The algebraic expression for the verbal phrase, "7 more than a number b" is translated as: b + 7.
What is an Algebraic Expression?A mathematical statement that is made up of operation signs (-, +), any variable (letters representing unknown quantity or number that varies), and numbers is referred to as an algebraic expression.
Algebraic expression are simplified or short form of translated phrases.
How to Translate Verbal Phrases into an Algebraic Expression?Let us represent the unknown number in the phrase as b.
"7 more than" means "+ 7".
Thus, the verbal phrase, "7 more than b" would be translated into an algebraic expression as:
b + 7.
Therefore, the algebraic expression for the verbal phrase, "7 more than a number b" is translated as: b + 7.
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what is the standard deviation of data set
20 20 28 62 68 71 77 85 95 99
Answer:
28.30282671
Step-by-step explanation:
Step 1: Find the mean.
Step 2: For each data point, find the square of its distance to the mean.
Step 3: Sum the values from Step 2.
Step 4: Divide by the number of data points.
Step 5: Take the square root.
Find the cost per pound of coffee mixture made from 8 pounds of coffee that cost $9.70 per pound in 14 pounds of coffee that cost $5.30 per pound?
Answer:
The total amount of the new coffee mixture would be:
8 + 12 = 20 (pounds)
The price of 20 pounds of coffee mixture would be:
8(9.2) + 12(5.5) = 139.6 (dollars).
Therefore, the average price would be:
139.6/20=6.98 (dollars).
Answer: $6.98 per pound.
Find x in the diagram below
Answer:
x=30 degrees
Step-by-step explanation:
both triangles are congruent therefor x will be the same as angle BAD
Which of the following can be used to correctly solve the equation -1/3x=18?
____________________________________________________________________
1. Multiply both sides of the equation by -1/3
2. Divide both sides of the equation by -1/3
3. Multiply both sides of the equation by -3
4. Divide both sides of the equation by -3
5. Add 1/3 to both sides of the equation
6. Subtract 1/3 from both sides of the equation
Answer:The answer is the first one multiply both sides of the equation by -1/3
Step-by-step explanation:please give brainliest.
A 3000Lb Car traveling uphill has a grade resistance of -110 pounds. Use a tangent function to estimate the angle of the grade. Give your answer to the nearest tenth of a degree.
The required grade resistance of car to the uphill movement is -2.9 degrees.
A 3000Lb Car traveling uphill has a grade resistance of -110 pounds. with the help of a tangent function to estimate the angle of the grade.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
Weight of car = 3000 Lb
grade of resistance = -110
Now,
Angle of the grade = tan⁻¹(-110 / 3000)
The angle of the grade = tan⁻¹(-0.05)
The angle of the grade = -2.9
Thus, the required grade resistance of the car to the uphill movement is -2.9 degrees.
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Shelby is a certified medical assistant at a local hospital. She is responsible for monitoring the
amount of medicine in a patient's blood every hour. She takes the patient's blood and measures
150 mg of medicine 2 hours after it was administered. Later she measures 60 mg of medicine
14 hours after it was administered. Write an equation that models this situation. How many
hours would it take for the medicine to be completely out of the patient's system?
Answer: 22.8571428571 hours
Step-by-step explanation:
Abigail buys eggs and oranges at the store.
• She pays a total of $14.71.
• She pays a total of $4.48 for the eggs.
• She buys 3 bags of oranges that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of oranges costs.
that's, she pays $4.48 for eggs.. that simple means that orange is also the same amount of the egg,,,
$4.48×3=$13.44
i.e X=$13.44
ill give brainly and 10 points
Answer: 135
Step-by-step explanation:
313 - 178 = 135
(8m-3n)(5m+9n) simplify
Answer:
40m² + 57mn - 27n²
Step-by-step explanation:
(8m - 3n)(5m + 9n)
each term in the second factor is multiplied by each term in the first factor, that is
8m(5m + 9n) - 3n(5m + 9n) ← distribute both parenthesis
= 40m² + 72mn - 15mn - 27n² ← collect like terms
= 40m² + 57mn - 27n²
What number is composed of 6 hundreds, 30 ones, 2 tenths, 4 hundredths, and 6 thousandths?
6 hundreds+ 30 ones = 630
630 + 2 tenths+ 4 hundredths + 6 thousandths=
630.2466. Joe is 3 years older than Paula, and
Paula is 2 years younger than Sue. Il Sue
is 20, how old is Joe?
(1) 18
(2) 21
(3) 23
(4) 25
(5) Not enough information is given.
Answer:
(2) 21 years old
Step-by-step explanation:
A textbook cover has a length of 11 in. and a width of x in. Using the formula A = 1 x w, which expression represents the area of the textbook cover?
A 11x
B x +11
C x/11
D x = 11
Answer: A
Step by step explanation:
12 buckets of water needed to fill a small swimming pool they are approximately 3.8 in 1 gallon if each bucket holds 1.5 gallons what is the volume of water in liters the pool holds
The volume of water in liters the pool holds is 68.4 liters.
Given, we know that 12 buckets of water is needed to fill the swimming pool.
Pool surface area is calculated by multiplying length by breadth. The volume in cubic meters is calculated by multiplying that by the average depth. Due to the fact that there are 7.5 gallons in every cubic foot, you can convert your results to gallons to get the pool volume.
one bucket holds 1.5 gallons .
There are approximately 3.8 liters in 1 gallon.
Therefore, the volume of the swimming pool = ?
12 buckets holding how many gallons of water = each bucket containing 1.5 gallons × total number of buckets
= 1.5 × 12
= 18
Therefore, total volume of water in the swimming pool = total gallons of water × liters in one gallon
= 18 × 3.8
= 68.4 liters
Hence we get the total volume of the swimming pool as 68.4 liters.
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OMG PLS HELP ME!!!! 30 pts!!!!! I NEED DIS ASAP
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
If you start at Parking B and take the elevator to the fourteenth floor, how many levels have you gone up? [Type your answer as a number.]
Answer:
16
Step-by-step explanation:
there is 2 underground and 14 above so 2 + 14 = 16
Identify the type of function represented by f(x) = ½ • (5)ª.
OA. Increasing linear
OB. Decreasing linear
O C. Exponential growth
OD. Exponential decay
The correct answer is C. Exponential growth. As the function given f(x) = ½ • (5)ª is in exponential form, its range f(x) will increase for any input x.
What is termed as Exponential growth?Exponential growth happens when the larger you are, the faster you grow, making you even larger. Compound interest or population growth characterizes growth.It is termed exponential growth because it is only mathematically described by multiplying time by the exponent or power of the base. The population is then equal to some arbitrary number to a power of the growth rate multiplied by the time. Typically, the arbitrary number is 2, and the growth rate is given as the reciprocal of a doubling time.The given function is defined as;
f(x) = ½ • (5)ª
As, the function is written in the exponent form or power form , its is said to be exponential function.
Now, for any increasing value of x, the value of function will also increase but with increasing difference.
Thus, the function is termed as the exponential growth function.
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please help me please
Based on the mapping diagram shown, the function f(g(13)) is equal to 32.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
The types of function.In Mathematics, there are different types of function and these include the following;
Periodic functionSignum functionPiece-wise defined function.Logarithm functionModulus functionInverse functionFrom the mapping diagram shown, g(13) is equal to 16 and f(g(13)) ⇒ f(16) would be equal to 32.
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Class A has 14 pupils and class B has 26 pupils.
Both classes sit the same maths test.
The mean score for class A is 73.
The mean score for both classes is 32.
What is the mean score (rounded to 2 DP) in the maths test for class B?
Answer:
9.92
Step-by-step explanation:
Hope this help you!!
f / 5 -12 = -15. what does f equal to?
Answer:
f = -15
Step-by-step explanation:
f/5 - 12 = -15
+12 | +12
f/5 = -3
*5 | *5
f = -15
PLEASE SHOW YOUR WORK AND PLEASE HELP ME ON THIS QUESTION THANK YOU.
Mrs. Steinberg had 3.23 pounds of ground beef to make 0.5 lb hamburgers. Which two expressions shows how to correctly solve for the number of hamburgers Mrs. Steinberg could make?
Help please I’m struggling
A bicyclist rides 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles? Answer quick hurry
Answer:
280 minutes
Step-by-step explanation:
The new distance travelled is 2.5 times larger than the previous (35/14 = 2.5), therefore, the new time needed to be travelled would also be 2.5 times larger than the original time taken.
[tex]112 \times 2.5 = 280[/tex]
Answer:
it will take her 280 minutes to travel 35 miles
Step-by-step explanation:
miles per hour = miles / hours
or in this case, miles / minutes
[tex]\frac{14 miles}{112 minutes}[/tex]
divide both the top and bottom by 112
[tex]\frac{0.125 miles}{1 minute}[/tex]
= 0.125 miles per minute
35 miles
[tex]35 / 0.125[/tex] = 280
280 minutes
If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3. Then the number is divisible by 3 Then the number is divisible by 9 If a number is divisible by 3 If a number is divisible by 9
Correct conclusion for statement : When a number is divisible by 9, the number is divisible by 3 is "the number is divisible by 3".
What is statement and conclusion ?
The statement and conclusion section is basically a logical reasoning section, in which a statement is given followed by a few conclusions from which you are supposed to choose the one that makes the most sense logically after the statement.
The statement provided is:
When a number is divisible by 9, the number is divisible by 3.
The general form of a conditional statement in if-then form is :
p → q
This implies that if p, then q.
The part after the "if" is known as the hypothesis and the part after the "then" is known as the conclusion.
The if-then form of the provided statement is:
If a number is divisible by 9, then the number is divisible by 3.
So, the conclusion is:
"the number is divisible by 3"
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Answer: A (then the number is divisible by 3)
Step-by-step explanation: did it on edge
An investment of $34,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third
9%. Total interest from the investments was $2700. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.
The amounts of the three parts of the investment are $6000, $10000, and $18000.
How to calculate the values?The total amount invested = $34000
We know that the amount was split into three parts, let the parts be x, y, z
then, x + y + z = 34000 //Equation 1
interest of any part after a year = the amount of the part times it's interest
interest of first part after a year = x* 0.08 // 8% = 8 / 100 = 0.08
interest of second part after a year = y * 0.06
interest of third part after a year = z * 0.09
we know that the total interest earned by the total investment = $2700
i.e, 0.08x + 0.06y + 0.09z = 2700 // Equation 2
Guven that interest from the first investment was 4 times the interest from the second.
i.e, 0.08x = 4 * 0.06y
= x = 3y // substituting this relation in the above eauations
x + y + z = 34000 //Equation 1
3y + y + z = 34000
= 4y + z = 34000 //Equation 3
0.08x + 0.06y + 0.09z = 2700 // Equation 2
= 0.08(3y) + 0.06y + 0.09z = 2700
=0.3y + 0.09z = 2700 // simplyfying the equation by multiplying with 100
= 30y + 9z = 270000 // Equation 4
Solving 3 and 4 equations;
36y + 9z = 306000 //Equation 3 multiplied by 9 to make it simple to solve with equation 4
30y + 9z = 270000
6y = 36000
y = 36000 / 6 = 6000// second part of the investment
x = 3y = 3 * 6000 = 18000 // first part of the investment
z = 34000 - (x + y) // from equation 1
z = 34000 - 24000 = 10000 // third part of the investment.
Therefore, the amounts of the three parts of the investment are $6000, $10000, and $18000.
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Simplify: 5/6-7/2-5/3 A.-19/22 B.-17/12 C.1/4 D.23/12
The simplified value of the expression 5/6 - 7/2 - 5/3 is -13/3
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?The expression is given as
5/6-7/2-5/3
Convert the mixed fractions to improper fractions
So, we have
5/6 - 7/2 - 5/3
Evaluate the product of the numerators and the denominators in the above expression so that the denominators are the same
So, we have
5/6 - 7/2 - 5/3 = 5/6 - 21/6 - 10/6
Take the LCM of the denominators in the above expression
So, we have
5/6 - 7/2 - 5/3 = (5 - 21 - 10)/6
Evaluate the difference of the numerators in the above expression
So, we have
5/6 - 7/2 - 5/3 = -26/6
Simplify the above fraction
So, we have
5/6 - 7/2 - 5/3 = -13/3
Hence, the simplified value of the expression 5/6 - 7/2 - 5/3 is -13/3
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A rock is thrown upward with a velocity of 12 meters per second from the top of a 50 meter high cliff, and it misses the cliff on the way back down. When will the rock
be 3 meters from ground level? Round your answer to two decimal places.
Hence , the rock will be 3 meters from ground level in 4.55 seconds.
The quadratic formula may be a known formula that enables you to unravel any style of equation. A equation may be a second degree polynomial, which suggests that its highest exponent is a pair of two.The quadratic formula is given by x = (-b ±√(b² - 4ac)) / (2a)It is given that rock is thrown upward with a velocity of 12 meters per second from the top of a 50 meter high cliff, and it misses the cliff on the way back down.
Using newton's equation s = ut + 1 /2 at² + s₀
where v₀ is velocity and s₀ is the height above ground when thrown, then we have
Putting u = 12 , a = -g = - 9.8 m/s² , s = 3 , s₀ = 50
3 = 12t + 1 / 2 (-9.8)t² + 50
0 = 12t - 4.9t²+ 47
4.9t² -12t - 47 = 0
Putting a = 4.9 , b = -12 , c = -47 in quadratic formula , we get
t = -(-12) ± √(-12)²-4(4.9)(-47) / 2(4.9)
= 12 ± √144 + 921.2 /9.8
= 12 ± √1065.2 /9.8
= 12 ± 32.63/9.8
= 44.63/9.8
= 4.55 s
We will consider only positive value as time cannot be in negative
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3^2*7^8*13^6 /21^2*91^3
Answer:
1897612903782531117or9×