Answer:
You can flip the second fraction and multiply the fractions so 3/5 * 15/3 = 3
Step-by-step explanation:
Q. You work for a food wholesaler that provides ingredients for restaurants and other food
producers. A large-scale bakery needs 72 pounds of raisins. The raisins come in 12-ounce
boxes. A total of 24 boxes will fit in a case. How many cases of raisins should you ship to
them?
The cases that would be shipped is 4.
How many cases would be shipped?The first step is to convert pounds to ounce
1 pound = 16 ounce
16 x 72 = 1152 ounces
The next step is to determine how many boxes would be needed.
Boxes needed = 1152 / 12 = 96 boxes
The third step is to determine the number of cases that would be shipped.
Cases that would be shipped = 96 /24 = 4
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Using the associative property, rewrite the following expression. You do NOT need to simplify it. -3y - 6y + 10y
Another form of the given expression using associative property is 10y + (-3y -6y)
Associative propertyAssociative property shows that if two or more property are added or multiplied, the result remains the same. For instance;
a +(b + c) = (a+b) + c
Given the expression below;
-3y - 6y + 10y
Group to have
(-3y - 6y) + 10y
10y - 3y - 6y
This can also be grouped as;
(10y - 3y) - 6y = 10y + (-3y -6y)
Hence another form of the given expression using associative property is 10y + (-3y -6y)
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when simplifying rational expressions, the first step is to ______ the numerator and denominator
Answer:
DETERMINE COMMON FACTORS
Step-by-step explanation:
Which number has a 6 that is 1/10 the value of the 6 in 527.6?
A. 1432.986
B. 982.46
C. 54.6
D. 36
The number that has a 6 that is 1/10 the value of the 6 in 527.6 is B. 982.46.
How to illustrate the information?It should be noted that we are to simply find the place value of the numbers.
In 527.6, the place value is 1/10.
On the other hand, in 982.46, the place value is 1/100.
Therefore, the number that has a 6 that is 1/10 the value of the 6 in 527.6 is 982.46.
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What is the perimeter of quadrilateral EFGH?
Answer:
54 units
Step-by-step explanation:
From G to H, use the Pythagorean Theorem:
[tex]3^2+4^2=\sqrt{25} =\fbox{5}[/tex]
From G to F, just count:
[tex]\fbox{11}[/tex]
From H to E, use the Pythagorean Theorem:
[tex]12^2+5^2=\sqrt{169}=\fbox{13}[/tex]
From F to E, use the Pythagorean Theorem:
[tex]15^2+20^2=\sqrt{625}=\fbox{25}[/tex]
Now, add up all the answers:
[tex]5+11+13+25=\fbox{54}[/tex]
You bought f pounds of fruit today. Today, you bought 3 times as many pounds of fruit as you bought yesterday. Which expression correctly shows how many pounds of fruit you bought yesterday? is it
f + 3
3f
3 ÷ f
f ÷ 3
or
none of the above
The answer would be 3f.
Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock 30%. What was the list price of the clock?
The list price of the clock is $375.50.
How to calculate the costFrom the information, Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock 30%.
The new price will be:
= $725 + (30% × $725)
= $275 + $82.5
= $357.5
Therefore, the list price of the clock is $375.50.
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two angles are complementary. The measure of the larger angle is 6 degrees less than 3 times the measure of the smaller angle. The measure of the smaller angle is _______ degrees and the measure of the larger angle is______ degrees
Step-by-step explanation:
complementary means together they are 90°.
x = 3y - 6
x + y = 90
(3y - 6) + y = 90
4y - 6 = 90
4y = 96
y (the smaller angle) = 24°
x (the larger angle) = 3y - 6 = 3×24 - 6 = 72 - 6 = 66°
About one eighth of the population is left-handed. In what size school would you expect to find about 50 left-handed students?
Answer:
400 students, 1/8 are left handed
Step-by-step explanation:
Corresponding angles examples
Answer:
The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles.
HOPE IT'S HELPS YOUstate the maximum number of points at which the pair of graphs might intersect.
a line and a circle
The maximum number of point of intersection of a line and circle is two
Circle:
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:
[tex](x-x1)^{2} +(y-y1)^{2} =r^{2}[/tex] Here,(x1,y1) are the centre of circle and r is the radius of circle.
Line:
A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
Line and Circle can intersect at two points maximum
Therefore,The maximum number of point of intersection of a line and circle is two
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The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm . which of the following gives The product of these three dimensions rounded to the nearest whole Numbers of centimeters
Answer:
12
Step-by-step explanation:
Answer: 13 cm x 9cm is the correct answer:)
use the distributive property to remove the parentheses
-2(4w-2v-1)
Answer: -8w+2v+2
Step-by-step explanation:
A store had apples on sale for $1.10 a pound. Mike spent $5.94 on apples. How many pounds did buy?
Answer:
5.4 lbs
Step-by-step explanation:
5.94 / 1.10 = 5.4
hope this helps! <3
Yeah lease help me yall I would really appreciate it thank you!!
The elements of the given set A' ∩(B ∪ C') = {1, 3, 7. 9}
SetsFrom the question, we are find the given set
The given set is
A' ∩(B ∪ C')
From the given information,
U = {1, 2, 3, ... , 9}
A = {4, 5, 6, 8}
B = {1, 3, 4}
C = {1, 2, 3, 4, 5}
First, we will determine A' and C'
A' = {1, 2, 3, 7, 9}
C' = {6, 7, 8, 9}
Now, we will find
B ∪ C' = {1, 3, 4, 6, 7, 8, 9}
Then,
A' ∩(B ∪ C') = {1, 3, 7, 9}
Hence, the elements of the set A' ∩(B ∪ C') = {1, 3, 7. 9}
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Which operations can be applied to a matrix in the process of Gaussian elimination?
a. replacing a row with the absolute values of that row
b. replacing a row with three times another row
c. replacing a row with twice that row
d. replacing a row with the sum of that row and another row.
e. swapping rows
(multiple answer are correct)
The following operations can be applied to a matrix during the Gauss Jordan elimination process:
(C) Replacing a row with twice the number of rows.(D) Substituting a row for the sum of that row and another row.(E) Row swapping.What is Gauss Jordan's elimination?Gaussian elimination, also known as row reduction in mathematics, is a method for solving systems of linear equations. It is made up of a series of operations performed on the corresponding coefficient matrix. This method can also be used to compute a matrix's rank, determinant of a square matrix, and inverse of an invertible matrix. The method is named after Carl Friedrich Gauss (1777-1855), though some special cases of the method were known to Chinese mathematicians as early as 179 AD, albeit without proof.During the Gauss Jordan elimination process, the following operations can be applied to a matrix:
Replacing a row with twice the number of rowsSubstituting a row for the sum of that row and another row.Row swappingTherefore, the following operations can be applied to a matrix during the Gauss Jordan elimination process:
(C) Replacing a row with twice the number of rows.(D) Substituting a row for the sum of that row and another row.(E) Row swapping.Know more about Gauss Jordan's elimination here:
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It is so hot that Craig's cousins ask him to make creamy mango smoothies. First, Craig blends 5 cups of mango, 1 quart of yogurt, and 3 cups of crushed ice. Then, he divides the smoothie evenly among 6 large glasses. How many cups of smoothie does he put in each glass?
Answer:
2 Cups
Step-by-step explanation:
First of all you need to add all of the ingredients together, which would total 12 cups of smoothie. Also important to add is that 1 quart is 4 cups. Then you have 12/6 which equals 2!
The cups of smoothie in each glass is 2 cups.
How many cups of smoothie is in each glass?In order to determine the number of cups of smoothie that would be put in each glass, it should be ensured that the measures of the ingredients are in the same unit.
The first step is to determine the total cups of smoothie that Craig makes.
In order to determine the total cups, quart has to be converted to cups
1 quart = 4 cups
Total number of cups = 5 + 4 + 3 = 12 cups
The next step is to determine the cups in each glass.
Cup of smoothie in each glass = total number of cups of smoothie / total number of large cups
12 / 6 =2 cups.
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What is the answer to 10 2/3 x 5 3/8
Answer:
57.3
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]
[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]
[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]
[tex]\mathsf{= \dfrac{172}{3}}[/tex]
[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
1. Which is the first step in solving
x 4 = 4
Subtract 4 from both sides.
Add 4 to both sides.
Add 4 to the left side.
Subtract 4 from the left side.
Answer:
I think to solve for X you have to place like terms on the other side like:
x4 = 4
x=4 - 4 (4 becomes negative)
x=0
Okay so for context there's 4 pounds of pears 3 pounds of grapes 6 pounds of pineapple and 3 pounds of oranges
OKAY NOW FOR THE ACTUAL QUESTION
Jorge wants to bring 2 pounds total of this fruit salad to a potluck dinner, how much of each ingredient should he use?
The total amount of each ingredient are as follows;
Pears = 1/2 pound
Grapes = 3/8 pounds
Pineapple = 3/4 pounds
Oranges = 3/8 pounds
How to Solve Ratio Problems?
We are given the amounts of fruits as;
4 pounds of pears
3 pounds of grapes
6 pounds of pineapple
3 pounds of oranges
Now, total pounds of fruits = 4 + 3 + 6 + 3 = 16 fruits
Ratio of pears = 4/16 = 1/4
Ratio of grapes = 3/16
Ratio of pineapple = 6/16 = 3/8
Ratio of oranges = 3/16
Thus. amount of each ingredient required are;
Pears = 1/4 * 2 = 1/2 pound
Grapes = 3/16 * 2 = 3/8 pounds
Pineapple = 3/8 * 2 = 3/4 pounds
Oranges = 3/16 * 2 = 3/8 pounds
Thus, the total amount of each ingredient are as follows;
Pears = 1/4 * 2 = 1/2 pound
Grapes = 3/16 * 2 = 3/8 pounds
Pineapple = 3/8 * 2 = 3/4 pounds
Oranges = 3/16 * 2 = 3/8 pounds
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If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red and yellow?
The fraction of the bag that are red and yellow are [tex]\frac{17}{30}[/tex].
A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. Below (or after) that line, there is a non-zero denominator and a common, vulgar, or simple fraction. Uncommon fractions that use numerators and denominators include difficult fractions, compound fractions, and mixed numeral fractions.To calculate the total fraction of red and yellow candies in the bag of skittles we add the two fractions together.
To add the two fractions together but first rewrite the fractions with a common denominator;
[tex]\frac{4}{15} =\frac{8}{30}[/tex]
[tex]\frac{3}{10} =\frac{9}{30}[/tex]
[tex]\therefore\frac{8}{30} +\frac{9}{30} \\\\=\frac{17}{30}[/tex]
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Need help with this was will off 30 points
The solution of the simultaneous equations is given by: x=0.60 and
y = 0.80 .
A system of equations or simultaneous equations, usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.
The elimination approach, which involves taking one of the unknowns out of each equation, is the most popular technique for solving simultaneous equations. The final step is to calculate the remaining unknown. If the coefficient of one of the letters is the same, regardless of sign, this is possible.The given pair of simultaneous equations are:
6 x + 8 y = 10
9 x + 6 y = 10.20
Now let us multiply the first equation by 6 and the second equation by 8 and subtract it from the first.
36 x + 48 y = 60
72 x + 48 y = 81.60
⇒ 36 x = 21.60
⇒ x = 21.60 ÷ 36
⇒ x = 0.60
Substituting the value in the first equation we get:
y= 0.80.
Hence the solution of the simultaneous equation is x=0.60 and
y = 0.80 .
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Tina spent $182 on 13 pamphlet sets for her beauty shop. How much does each pamphlet set cost?
Answer:
14 dollars
Step-by-step explanation:
182 divided by 13 is 14 dollars
may starclan light ur path
what is? 9x-x-2=3(2x-3)+ax
Help me! Find the measure of the largest angle.
The length of a rectangular garden is 5 m greater than the width. The area of the garden is 66 m² Find the dimensions of the garden.
L = 10 and w= 5 are the dimensions of the rectangular garden.
What is a rectangle, exactly?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.Let the width of the garden be a
Length of the garden = a + 5
Area = l * w
66 = ( a+ 5 ) * a
66 = a² + 5a
a² + 5a -66 = 0
a² + 11a - 5a - 66 = 0
a( a + 11 ) -5 ( a + 11) = 0
( a + 11 ) ( a - 5) = 0
so a + 11 = 0 ⇒ a = -11
a - 5 = 0 ⇒ a = 5
Width cannot be negative.
l = a + 5 = 10
w = 5
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An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population.
Find the probability that the sum of the 95 values is less than 7,450. (Round your answer to 4 decimal places)
The probability that the sum of the 95 values is less than 7450 is 0.1002
Given Data :
An unknown distribution has a
Mean (μ) = 80
Standard Deviation (σ) = 12
Sample Size (n) = 95
is drawn from the population.
∑X ≈ N (95 * 80, [tex]\sqrt{95}[/tex] * 12)
= N (7600, 116.96)
The Probability that the sum of the 95 values is less than 7450 is given as follows :
P(∑x < 7450) = P [(∑x - μ) / s] < [(7450 - 7600) / 116.96
= P(Z < -1.282) = 0.1 (From Z table)
Hence, the probability that the sum of the 95 values is less than 7450 is 0.1002
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In order to accumulate enough money for a down payment on a car, Karl deposits $100 per month into an account paying 1.75% compounded monthly. If payments are made at the end of each period, how much In order to accumulate enough money for a down payment on a car, Karl deposits $100 per month into an account paying 1.75% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 18 months? How much interest will Karl have earned? Total amount: Interest earned:
1. If payments are made at the end of each period, the amount of money that will be in the account in 18 months (future value) is $2,094.46.
2. The total interest that Karl earned will be $294.46.
3. Total amount: $2,094.46
Interest earned = $294.46
What is the future value?The future value is the future cash deposits compounded at an interest rate for a period.
The future value can be computed using the future value table or future value formula. It can also be computed using an online finance calculator.
N (# of periods) = 18 months
I/Y (Interest per year) = 21% (or 1.75% monthly)
PV (Present Value) = $0
PMT (Periodic Payment) = $100
Results:
Future Value (FV) = $2,094.46
Sum of all periodic payments = $1,800 ($100 x 18)
Total Interest = $294.46
Thus, the total future amount in the account will be $2,094.46 with an interest of $294.46.
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(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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if a number is divided by an d minused from an another number
This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.
Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
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