Mixed numbers between 5 and 7 with an interval of 1/3
There are 32 female performers in a dance recital. The ratio of men to women is 3;8. How may men are in the dance recital?
if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplemantary are the lines parallel?
When two lines in a plane are cut by a transversal and a pair of consecutive interior angles is supplementary, the lines are parallel.
Explanation:When two lines in a plane are cut by a transversal and a pair of consecutive interior angles is supplementary, the lines are parallel.
We know that consecutive interior angles are located on the same side of the transversal and are inside the two lines.
Since the consecutive interior angles are supplementary, they add up to 180 degrees. This indicates that the lines are parallel.
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The area of a square is 49 cm. What is the length of one side
The Burmese pythons can be anywhere from 16 to 23 feet long. What is the difference in length inches between the longest and shortest Burmese python?
Answer: There is a difference of 84 inches.
Step-by-step explanation:
Since we have given that
Longest length of python = 23 feet
Shortest length of python = 16 feet
As we know that
1 feet = 12 inches
23 feet = 23×12=276 inches
16 feet = 16×12=192 inches
Difference between them is
276-192=84 inches
Hence, there is a difference of 84 inches.
4(4x+3)=19x+9-3x+3 what are the steps
The steps of the expression are given below.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 4 (4x + 3) = 19x + 9 - 3x + 3
Now,
Solve the expression as;
The expression is,
⇒ 4 (4x + 3) = 19x + 9 - 3x + 3
⇒ 16x + 12 = 19x + 9 - 3x + 3
⇒ 16x + 12 = 16x + 12
⇒ 16x - 16x = 12 - 12
⇒ 0 = 0
Thus, The steps of the expression are given below.
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Raul is solving -6x=72.Find his mistake and correct it.
Jada has picked 1 cup of strawberries for a cake, which is enough for ¾ of the cake. How many cups does she need for the whole cake?
Answer:
she needs 1 [tex]\frac{1}{3}[/tex] cup of strawberries
Step-by-step explanation:
To find the number of cups needed, we will simply solve using proportion
From the question, Jade picked 1 cup of strawberries for 3/4 of a cake
and we are asked to find the number of cups needed for a whole cake
Let x be the number of cups needed for the whole cake
[tex]\frac{3}{4} cake[/tex] = 1 cup of strawberries
1 cake = x
Cross multiply
[tex]\frac{3}{4}[/tex] × x = 1 × 1
[tex]\frac{3x}{4}[/tex] = 1
cross multiply
3x =4
To get the value of x, we simply divide both-side of the equation by 3
[tex]\frac{3x}{3}[/tex] = [tex]\frac{4}{3}[/tex]
(On the left-hand side of the equation, 3 will cancel out 3 leaving us with x and on the right-hand side of the equation 4 will be divided by 3 which will give us 1 [tex]\frac{1}{3}[/tex] )
x = 1 [tex]\frac{1}{3}[/tex]
Therefore 1 [tex]\frac{1}{3}[/tex] cup of strawberries is needed for the whole cake.
By noon, the temperature increased 21 from the morning low -13 what was was the tempature noon
Which expression is equivalent to (3a5 + b4)2
Answer:
The expression [tex]9a^{10}+6a^2b^4+b^8[/tex] is equivalent to the given expression.
Step-by-step explanation:
The given expression is
[tex](3a^5+b^4)^2[/tex]
Use algebraic formula:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](3a^5+b^4)^2=(3a^5)^2+2(3a^5)(b^4)+(b^4)^2[/tex]
[tex](3a^5+b^4)^2=3^2(a^5)^2+6a^5b^4+(b^4)^2[/tex]
Use exponent property:
[tex](a^m)^n=a^{mn}[/tex]
[tex](3a^5+b^4)^2=9a^{10}+6a^5b^4+b^8[/tex]
Therefore expression [tex]9a^{10}+6a^5b^4+b^8[/tex] is equivalent to the given expression.
Starting from the same place, Miranda walks due west and Blake walks due east. On the number line, 0 represents their starting point; negative values represent the distance in feet, traveled west; and positive values represent the distance in feet, traveled east. How many feet apart are Miranda and Blake on the number line? Enter your answer in the box.
Answer:
360 feet
Explanation:
There are 10 hash marks between 0 and 300; this means that each hash mark is 300/10 = 30 feet.
Miranda's location is 5 hash marks below 0; this puts her at 5(30) = 150 feet below 0, or -150.
Blake's location is 7 hash marks above 0; this puts him at 7(30) = 210 feet above 0, or 210.
This means they are 210--150 = 210+150 = 360 feet.
To find the distance between Miranda and Blake on a number line, you sum the absolute values of the distances each has traveled from the starting point O, regardless of direction.
Explanation:
If Miranda walks due west and Blake walks due east from the same starting point O (represented as 0 on the number line), then the distance between Miranda and Blake is the sum of their absolute distances from the starting point. For example, if Miranda walks 2 feet west and Blake walks 3 feet east, the distance between them on the number line would be 2 (west) + 3 (east) = 5 feet.
Here, we're using the concept of absolute value where negative values represent westbound distances, and positive values represent eastbound distances. Unlike calculating displacement, where direction mattered, calculating the distance between two points doesn't require you to consider direction. The magnitude of distance traveled in opposite directions from the same starting point is simply added together.
So, applying these principles of number lines and absolute values, to get the distance between Miranda and Blake, you add the distance each has traveled from the starting point O, regardless of their directions.
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Jay is cutting a roll of biscuit dough into slices that are 3/8 inch thick. If the roll is 10 1/2 inches long, how many slices can he cut?
He can cut 28 slices I have the same homework so I hope this helps much love and your welcome !!
A generator runs for 2 1/2 hand uses 4 3/8 gals of fuel. How many gallons of fuel did the generator use each hour?
divide gallons used by time
4 3/8 = 35/8
2 1/2 = 5/2
35/8 / 5/2 = 35/8 * 2/5 = 70/40 = 7/4 (simplest form) = 1 3/4 gallons per hour
Simplify.
x + (7 + 14x)
what is the sum of 4.2x10^5 and 5.3x10^5
find the value of x. l || m. the diagram is not to scale
The value of x is 32 when l is parallel to m.
What is Angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
In the given figure l is parallel to m.
A transversal is passing through parallel lines hence corresponding angles are formed.
The angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.
So 2x=64
Divide 2 on Both sides
x=32
Hence the value of x is 32⁰.
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Find two numbers if their difference is 16 and their ratio is 5:7.
Answer:
40,56
(btw if ur here for rsm write it as 40,56 not 56,40)
$14 socks; 15% discount
Graph each equation, Question 5 and 6
Find the domain and range of x + y = 1. Then determine whether it is a function.
The domain and the range of the equation x + y = 1 are both all real numbers. The equation is a function since each x-value corresponds to a unique y-value.
Explanation:The question is asking us to find the domain and range of the equation x + y = 1, and to determine whether it is a function.
The domain of an equation is the set of all possible x values. For this equation, we can substitute any real number for x, therefore, the domain is all real numbers.
The range of an equation is the set of all possible y-values. In this equation, for any given value of x, there will be a corresponding value of y (y = 1 - x). Therefore, the range of the equation is also all real numbers.
Whether an equation defines a function or not depends on whether each x-value corresponds to a unique y-value. For this equation, each x-value does correspond to a unique y-value, so it is indeed a function.
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what is 40÷4-(5-3)??
Answer:
8
Step-by-step explanation:
40/4=10-2=8
The table shows the ingredients used in a medicine. If all the decimals were rounded to the nearest whole percent, would this table be helpful in comparing the amount of each ingredient? Explain. Ingredient Percent Substance A 19.6% Substance B 19.9% Substance C 19.5% Substance D 14.5% A. Yes; substance B would still be the largest part of the medicine. B. No; three of the percentages would round to 19%. C. No; three of the percentages would round to 20%. D. No; two of the percentages would round to 20%.
Nora took 8 bottles of water to a picnic. Of those bottles of water, she and her friends opened a certain number of bottles. b. What expression can be used to determine the number of unopened bottles at the end of the picnic?
A. 8+b
B. B+8
C.8-b
D.b-8
Final answer:
To calculate the number of unopened bottles after some have been opened, subtract the number of opened bottles (b) from the total number brought to the picnic (8), resulting in the expression 8 - b.
Explanation:
The expression to determine the number of unopened bottles of water at the end of the picnic, when Nora took 8 bottles and a certain number of bottles were opened, would be 8 - b. Here, the variable b represents the number of bottles that were opened, and since we start with 8 bottles, we subtract the number that were opened (b) from the total number of bottles (8) to get the number that remain unopened.
Kelly formed 7 equal groups out of 4.27 pounds of food find the number of pounds in each group
What is the value of the underlined digit 28?
The diameter of Virus A is 2.6 • 10^-7 millimeters. If Virus B has a diameter that is 15 times larger than Virus A, find the diameter of Virus B.
The diameter of Virus B, which is 15 times larger than Virus A, is 3.9 • 10^-6 millimeters.
Explanation:Virus A possesses a minute diameter, measuring at 2.6 x 10^(-7) millimeters. When comparing it to Virus B, which is 15 times larger, you simply multiply Virus A's diameter by 15. Therefore, Virus B boasts a diameter of (2.6 x 10^(-7) mm) x 15, resulting in 3.9 x 10^(-6) millimeters. This means that Virus B is significantly larger than Virus A. This mathematical relationship highlights the scale and size differences between these two viruses, emphasizing the substantial increase in diameter when transitioning from Virus A to Virus B, due to the multiplication factor of 15.
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The cost for a business to make greeting cards can be divided into one-time costs, and repeated costs, suppose the total to make 300 cards is $900.00, and the total to make 650 is 1,600.00. What is the total cost to make 1,000 cards? Round your answer to the nearest dollar
A) 2,100.00
B) 2,300.00
C)2,500.00
D)3,000.00
What is the equation of this line
Y=1/4x
Y=4x
Y=-1/4x
Y= -4x
how can you divide larger dividends?
32 gal/min = what qt/h
32g/m = 32*60 = 1920 gallons per hour
1 gallon = 4 quarts
1920 *4 = 7680 quarts per hour
Answer: 7529.4 qt/hr
Step-by-step explanation:
The conversion used from gal to qt is:
1 gal = 4 qt
32 gal= [tex]\frac{4}{1}\times 32=128[/tex]
The conversion used from min to hr is:
60 min = 1 hr
1 min =[tex]\frac{1}{60}\times 1=0.017hr[/tex]
We are asked: 32 gal/min = ? qt/hr
[tex]32gal/min=\frac{128}{0.017}qt/hr=7529.4qt/hr[/tex]
Therefore, the conversion 32 gal/min = 7529.4 qt/hr