Answers
Answer:
The answer is - 7/30
Step-by-step explanation:
LCM between 10 and 15 is 30 so that would be your denominator.
The subtract: 7-14 = -7 so that would be your numerator.
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The difference between the numbers of fraction 7 / 10 and 14 / 15 would be 7 / 30.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
The number of the fraction are;
⇒ 7 / 10 and 14 / 15
Now,
Find the difference between the fraction 7 / 10 and 14 / 15 as;
The mathematical expression is,
⇒ 14 / 15 - 7 / 10
Make denominator same to solve the fraction as;
LCM { 10 , 15 } = 30
Therefore, We get the expression ;
⇒ 14 / 15 - 7 / 10
⇒14 × 2 / 15 × 2 - 7 × 3/ 10 × 3
⇒ 28 / 30 - 21 / 30
⇒ (28 - 21) / 30
⇒ 7 / 30
Thus, 14 / 15 - 7 / 10 = 7 / 30
Therefore, The difference between the fraction of numbers 7 / 10 and 14 / 15 would be 7 / 30.
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Related Questions
When a number x is multiplied by 6, the result is 3/8 . What is the value of x? Drag and drop the correct number into the box so that the equation is true.
Answers
(X×6)/6 =3/8
(X×6)/6 =(3/8)/6
Deniz tried to subtract two polynomials. Her work is shown below.
Answers
(3+5)r^2+(-9-7)r+(3+2)
8r^2-16r+5 is your answer
Hope this helped!
In the diagram to the right three lines intersect at n.The measure of < GNF is 60, and the measure of < MNL is 47. What is the measure of < HNK?
Answers
< MNL = 47
< MNL and < GNH are vertical angles and are equal
so < GNH = 47
< GNL + < GNH + < HNK = 180....these angles form a straight line...so when added, they equal 180
60 + 47 + < HNK = 180
107 + < HNK = 180
< HNK = 180 - 107
< HNK = 73 <====
Measure of ∠HNK is equals to 73°.
What are linear pair angles?
" Linear angles are formed when the sum of pairs of adjacent angles is equals to 180°."
According to the question,
Measure of ∠GNF = 60°
Measure of ∠MNL = 47°
As per the linear pair angles definition ,
∠GNF, ∠FNM, ∠MNL forms linear pair angles .
Therefore,
∠GNF + ∠FNM + ∠MNL = 180°
Substitute the given values we get,
60° + ∠FNM + 47° = 180°
⇒ ∠FNM = 180° - 107
= 73°
As given three lines intersect at 'N'
∠FNM and ∠HNK are vertically opposite angles and are congruent.
Therefore,
Measure of ∠HNK = 73°
Hence, measure of ∠HNK is equals to 73°.
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The committee is planning a party and 150 guests are expected. Each package of plastic spoons contains 24 spoons. How many packages of spoons will be needed to so that each guest gets 1 spoon? 5 6 7 124
Answers
divide the number of guests by the number of spoons in a package
150/24 = 6.25 so they need to buy 7 packages
The packages of spoons will be needed to so that each guest gets 1 spoon is 7.
It is required to find the packages of spoons.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The committee is planning a party = 150 guests
package of plastic =24 spoons.
According to given question we have
The packages of spoons will be needed to so that each guest gets 1 spoon
150/24
= 6.25 ≈7
Therefore, the packages of spoons will be needed to so that each guest gets 1 spoon is 7.
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A recipe for apple cake needs 10 mL of baking powder, 70 mL of butter, 190 mL of sugar and 420 mL of flour. This is enough to make a cake for 8 people. How much of each ingredient would be needed to make a cake for 20 people?
Answers
20/8 = 2.5
multiply all the ingredients by 2.5
10 ml * 2.5 = 25 ml of baking powder
70 *2.5 = 175 ml of butter
190 * 2.5 = 475 ml of sugar
420 * 2.5 = 1050 ml of flour
What is the reason for each step in the solution of the inequality?
−2(x+3)−4>4x+30
Select the reason for each step from the drop-down menus.
−2(x+3)−4>4x+30 Given
−2x−6−4>4x+30
−2x−10>4x+30
−6x−10>30 Subtraction Property of Order
−6x>40
x<−203 Division Property of Order
Answers
The correct answers are:
Distributive property; subtraction; addition property of equality.
Explanation:
To get from the first step to the second step, the terms inside parentheses have been multiplied by -2. The property that allows us to multiply through parentheses, or distribute through parentheses, is the distributive property.
To get from the second step to the third step, the -6 and 4 have been subtracted; this means the reason for this is subtraction.
To get from the fourth step to the fifth step, 10 has been added to each side. The addition property of equality allows us to do this.
Inequalities help us to compare two unequal expressions. The given inequality can be solved as shown below.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequality can be solved as shown below.
−2(x+3)−4>4x+30 → Given
−2x−6−4>4x+30 → Solving the parenthesis using the distributive property
−2x−10>4x+30 → Subtract 4x from both the sides of the inequality, Subtraction property of order
−6x−10>30 → Subtraction Property of Order
−6x>40 → Division property of order
x<−203 → Division Property of Order
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Manuela has two boxes. The larger of the two boxes has dimensions of 15cm by 25cm by 29 cm. The smaller of the two boxes is a cube with sides that are 10 cm long. If she were to put the smaller box inside the larger, what would be the remaining volume of the larger box?
Answers
15x25x29
375x29
10,875cm³
and the smaller box:
10x10x10
100x10
1,000
then subtract
10,875-1,000=9,875cm³ remaining
A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide what is the area of the pool
Answers
Is this a funtion? Explain.
Answers
Nine people come to a party and shake hands with each other. If each person shakes the hand of every other person, how many handshakes occur?
Answers
Final answer:
There will be 36 handshakes among the nine people at the party, as determined by the combination formula 9C2.
Explanation:
Calculating Handshakes
To determine the number of handshakes that occur when nine people shake hands with each other, we can use the concept of combinations. In a handshake situation, the order in which the handshakes occur does not matter; what matters is which two people are shaking hands. Therefore, we can use the formula for combinations without repetition, which is nCk = n! / (k!(n-k)!), where n is the total number of items, and k is the number of items to choose at a time.
In this case, there are 9 people (n=9) and the handshake involves 2 people at a time (k=2). So, the calculation would look like this:
9C2 = 9! / (2!(9-2)!) = 9! / (2!7!) = (9 × 8) / (2 × 1) = 36 handshakes
Therefore, there would be a total of 36 handshakes among nine people at the party.
A refrigerator magnet uses 5/8 inch of magnetic tape. How many refrigerator magnets can you make with 10 inches of magnetic tape. Explain
Answers
10 divided by 5/8 is equal to 10/1 times 8/5.
=10
what is y=-3x+4 and y=3x-2
by using transitive property
Answers
We can flip an equation to have it mean the same thing. Example: x = 5 is the same as 5 = x
The transitive property is the idea where if a = b and b = c, then a = c. Think of it as connecting a chain. Or taking a shortcut. If we know a leads to b, and b leads to c, then we can skip b all together and go from a directly to c.
Same idea applies here: we have -3x+4 equal to y, and y also equal to 3x-2 so -3x+4 = 3x-2
y-(3 times X) + 2=0
3 times X+y-4=0\ -3 times X -4
y= -(3 times X-4
y=4-(3 times X)
2-( 3 times X)- (3 times X)+4=0
y=4-(3 times X)
6-6 times X =0 \-6
-6 times X= -6 \ : -6
X= -6\(-6) X=1
y=4 - (3 times 1)
y=4-3
The answer is y=1
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A rectangle has a perimeter of 16 inches.
What dimensions (length, width) could be the dimensions of the sides?
A. (8, 0)
B. (2, 12)
C. (6, 2)
D. (13, 3)
E. (3, 10)
Answers
option C: (6, 2).
The student has asked for the possible dimensions of a rectangle given that its perimeter is 16 inches. To find the dimensions that are correct, we need to remember that the perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. We must check each pair of dimensions provided and see if they satisfy this equation when the perimeter is 16 inches.
A. (8, 0) - This would give us a perimeter of 2(8) + 2(0) = 16 inches, which is correct, but it is not a possible dimension for a rectangle, as having a side of length 0 inches does not make a rectangle.B. (2, 12) - The perimeter here would be 2(2) + 2(12) = 28 inches, which is not equal to 16 inches.C. (6, 2) - Checking this option, we get 2(6) + 2(2) = 12 + 4 = 16 inches. This one is correct and is a possible dimension for a rectangle.D. (13, 3) - The perimeter in this case would be 2(13) + 2(3) = 26 + 6 = 32 inches, clearly more than 16 inches.E. (3, 10) - This would give us a perimeter of 2(3) + 2(10) = 6 + 20 = 26 inches, which also does not equal the 16-inch perimeter required.Therefore, the only possible dimensions for the rectangle given the choices provided and where both dimensions are greater than zero is option C: (6, 2).
When is the sum to two negative mixed numbers an integer?
Answers
so we can't have fractions
the fraction parts of the mixed numbers must add to -1 (because they are negative mixed numbers)
when the fraction parts of the mixed numbers add to -1, the sum of 2 mixed numbers is an integer
Find the equation of the line (3,-2) and parralel to the line containing the points (-2,4) and (-4,-2).
Answers
y=(1/3)x+b from y=mx+b. Plugging (3, -2) in from there, we get -2=(1/3)*3+b=1+b. Subtracting 1 from both sides, we get b=-3, making our equation y=(1/3)x-3 due to that y and x stay variables
Write the product as a single power
Answers
When multiplying powers you add them.
[tex]-15 ^{(16 + 9)} [/tex] = [tex] -15^{25} [/tex]
In short, the answer is [tex] -15^{25} [/tex].
Hope This Helps You!
Good Luck :)
84, 99, 88, 82, 95, 85
Myra's test scores are shown. She has one more test for the semester. What is the minimum score that she can make on her last test and have an average greater than 90?
Note: All scores are whole numbers and scores are not rounded
a. 95
b.96
c.97
d.98
Answers
Answer:
Option: d is the correct answer.
d. 98
Step-by-step explanation:
The scores of Myra's test are as follows:
84, 99, 88, 82, 95, 85
Let 'x' be the minimum score that is obtained by Myra in the last test so that the average is greater than 90 marks.
i.e.
[tex]\dfrac{84+99+88+82+95+85+x}{7}>90\\\\\\i.e.\\\\\\\dfrac{533+x}{7}>90\\\\\\i.e.\\\\\\533+x=90\times 7\\\\\\533+x>630\\\\\\x>630-533\\\\\\x>97[/tex]
Hence, the minimum score has to be 98.
( Since, the scores are in whole number )
4.625 as a fraction in simplest form
Answers
.625 = 5 multiply to .125 = 5 multiply 1/8 = 5/8
4=4 multiply (8/8) = 32/8
so 4.625 = 32/8 add 5/8 equal 37/8
4.625 as a fraction in the simplest form can be written as 37/8.
Given is a decimal number 4.625.
Here the decimal point is 3 units to the left.
So any decimal number can be written as a fraction with powers of 10 as the denominator.
Here since the decimal point is 3 units to the left divide by 1000.
So,
4.625 = 4625 / 1000
Both 4625 and 1000 are multiples of 25.
So this can be written as :
4625 / 1000 = 4625 ÷ 25/ 1000 ÷ 25
= 185 / 40
= 37/8
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What is .04 as a mixed number
Answers
Step 2: Simplify 4⁄10 = 2⁄5
Earth diameter is 12,756 kilometers.How many meters is this?
Answers
Mrs.D. gives 13 % of her salary to a charity. Last year she donated to the charity $6500.00. How much money did Mrs.D. earn last year?
Answers
13% = 13/100 = 0.13
6500 is 13 percent of Mrs. D's salary, so:
0.13(x) = 6500
0.13(x)/0.13 = 6500/0.13
x = 50,000
Mrs. D's salary last year was 50,000 dollars.
This is scrambled words what is number 8 9 10 11 12 13
Answers
9. shimmer
10. injure
11. wilted
12. jump
13. ostrich
X Y
-2 5
-1 3
0 1
1 -1
2 -3
Find the explicit formula and the type of function
Answers
a (a can be any real number)-2x (it's -2 multiplied by x because it decreases by 2). Plugging it in for 0, we get a-2*0=1, and a=1, making the explicit function
y=-2x+1. Since a linear equation is in the form y=mx+b (with m and b both representing any number), this fits the description.
3 pizzas for $ 16.50 what is the unit rate for one pizza
Answers
3(x+1)^(4/3)=48
how do i solve this?
Answers
Your answers are x = 7 and x = -9.
In 2008 election there was 28 blue states and 22 red states express the red and blue states as fractions in lowest terms of the total number of states and also as decimals
Answers
Therefore, the fraction would be 28/50. Let's reduce it.
28/50=14/25 --> these are the lowest terms for this fraction
Use a calculator to find the decimal solution --> 14/25= .56
Now, let's do the red states. Out of the 50 states, 22 of them were blue.
22/50=11/25 --> lowest terms
Use a calculator --> 11/25= .43
7x-4d use x = 8 and d = have (simplify algebraic exression)
Answers
56 - 8 = 4d
48 = 4d
d = 48 : 4 =
12
--------------------------
7 * 8 - 4 * 12 = 8
If Susan subtracts 11 from one-fourth of her number she gets 11
Answers
Final answer:
Susan's number is found by solving the equation x/4 - 11 = 11, which after isolating the variable and multiplying both sides by 4 yields the answer x = 88.
Explanation:
If Susan subtracts 11 from one-fourth of her number, she gets 11. To solve this problem, we set up an equation where x represents Susan's number. The one-fourth of her number would be x/4, and subtracting 11 from one-fourth of her number yields: x/4 - 11 = 11.
To find x, we first isolate the variable on one side by adding 11 to both sides of the equation, so we have x/4 = 22. Next, we multiply both sides by 4 to solve for x: x = 22 * 4. Therefore, Susan's number is 88.
Help me asap!!
To the nearest percent, what is the probability of rolling a 4 on the number cube?
Answers
This has really gotten confuzzing for me. SOS
Answers
For stock B, the equation is y=16.04-0.09x where x is the number of hours.
We're trying to find when they will be equal.
15.54+0.11x=16.04-0.09x
1554+11x=1604-9x
1554+20x=1604
20x=50
x=2.5
Final answer: About 2.5 hours
let number of hours = x
1st equation is 15.54+0.11x
2nd equation is 16.14-0.09x
now calulate x so the 2 equations are equal:
15.54+0.11x=16.04-0.09x
mutiply evrything by 100 to get rid of the decimal points andmake the calculations a little easier
1554+11x=1604-9x
add 9 x to both sides:
1554+20x=1604
subtract 1554 from both sides:
20x=50
divide 50 by 20 for x
x=50/20 = 2.5
x = 2.5
so they were the same after 2.5 hours