Answer: 1/3
Multiply
1×2=2
5×3=15
= 2/15
2×1=2
5×2=10
= 2/10
Simplify
2/5 = 2/15
2/10 = 1/5
Add
2/15 + 1/5 = 1/3
Answer:
[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{ \blue{ \frac{1}{3} }}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{1}{5} \times \frac{2}{3} + \frac{2}{5} \times \frac{1}{2} }[/tex]
Multiply the fractions
⇒[tex] \sf{ \frac{1 \times 2}{5 \times 3} + \frac{2 \times 1}{5 \times 2} }[/tex]
⇒[tex] \sf{ \frac{2}{15} + \frac{2}{10} }[/tex]
Take the L.C.M of 15 and 10
⇒[tex] \sf{ \frac{2 \times 2 + 2 \times 3}{30} }[/tex]
Multiply the numbers
⇒[tex] \sf{ \frac{4 + 6}{30} }[/tex]
Add the numbers
⇒[tex] \sf{ \frac{10}{30} }[/tex]
Reduce the numbers with 10
⇒[tex] \sf{ \frac{1}{3} }[/tex]
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How can we find the L.C.M ( Least Common Multiple )?
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Hope I helped!
Best regards!
-2z + 3 + 7z= -12 A. z = -3 B. c = -c + 2 C. c + 2 = c -2 D. c - c = 2 Help me pleeeaasseee <3
Answer: Choice A) z = -3
====================================
Work Shown:
-2z + 3 + 7z= -12
5z+3 = -12
5z = -12-3 .... subtract 3 from both sides
5z = -15
z = -15/5 .... divide both sides by 5
z = -3
Answer:
A. z = -3
Step-by-step explanation:
B, C, and D have the wrong variable in the answer
-2z + 3 + 7z = -12
5z + 3 = -12
5z = -15
z = -3
25b +15b combine like terms
Answer:
40b
Step-by-step explanation:
25 + 15 = 40
Answer:
40b
Step-by-step explanation:
We are given the expression:
25b+15b
and asked to simplify.
To simplify, we must combine like terms. Let's analyze the terms.
25b ⇒ has a variable "b"
15b ⇒ also has a variable "b"
The like terms in this expression are the terms with a variable, b.
To combine like terms, add the coefficients and leave a b on the end.
(25+15)*b
(40)*b
40b
The expression 25b+15b simplified is 40b.
PLEASE HELP What is 16,448 written in scientific notation? A. 1.6448 x 10 B. 16.448 x 10 C. 1.6448 x 10 D. 1.6448 x 10
Answer:
1.6448 * 10^4.
Step-by-step explanation:
16448
There are 4 digits after the first so the exponent is 4.
1.6448 * 10^4.
What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75
Answer:
the answer is D
Step-by-step explanation:
refer to the picture given
What is the volume of a rectangular prism with a height of 7 units, a width of 5 units, and a length of 8 units?
A. 20 cubic units
B. 200 cubic units
C. 2.000 cubic units
D. none of the above
Answer:
The answer is 280
Step-by-step explanation:
Because, the formula of volume of rectangular prism is Volume = length•width• height
negative plus a positive equals
Answer: multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive.
Step-by-step explanation:
The result of adding a negative number and a positive number will depend on the magnitude of the two numbers and which one is larger.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
In mathematics, adding a negative number and a positive number involves combining two quantities with opposite signs. When we add a negative number and a positive number, we can think of it as "subtracting the absolute value of the negative number from the positive number."
For example, if we have -3 + 5, we can rewrite it as 5 - 3, which equals 2. In this case, we are subtracting the absolute value of the negative number (3) from the positive number (5).
Similarly, if we have -7 + 2, we can rewrite it as 2 - 7, which equals -5. In this case, we are subtracting the absolute value of the negative number (7) from the positive number (2), but since the negative number has a larger absolute value, the result is negative.
So, the result of adding a negative number and a positive number will depend on the magnitude of the two numbers and which one is larger.
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The complete question is as follows:
What is a negative plus a positive?
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value? algebra
Answer:
4cm 10mm 1year
x x its fractions
1 year 1cm 365days
Step-by-step explanation:
its all fractions
how do I write 5(x + 6) as a verbal expression
Answer:
five times the value of 6 more than a number
Step-by-step explanation:
five times = 5 •
6 more = 6 +
a number = x
5(x + 6)
Peter withdrew 1000 dollars from his bank account today. He uses 500 to fix his car. Then, he divided the money into 5 equal parts and gave away 4 parts and kept 1 part for himself. Finally, he took his wife to the restaurant and spent 60 dollars on meals. Write a numerical expression to represent this situation and then find how much money Peter has now?
Answer:
ok he has $40 left
Step-by-step explanation:
1000-500 = 500
500 - 400 = 100
100-60 = 40
Answer:
Money with Peter = $ 40
Step-by-step explanation:
Let 'x' be the money left with Peter
Money left with Peter after fixing his car = 1000 - 500 = 500
500 is divided into 5 equal parts and 4 parts he gave away. 500 - 400 = 100
x = (1000 - 500) - 400 - 60
= 500 - 400 - 60
= 100 - 60
x =$ 40
Simplify. (3i + 2) + (4 i+ 3) =
Answer:
5+7i
Step-by-step explanation:
associative prop of addition
then simply add
Question is in the image
=====================================================
Explanation:
The blue parent function has a positive coefficient of 1. The purple g(x) function is a reflection of f(x) over the x axis, so everything is now negative. The coefficient must be negative as well.
But the answer is simply not g(x) = -x^2 because plugging x = 3 does not lead to y = -6 as the point (3,-6) shows.
Let's say the coefficient is k for now. So we have y = kx^2
Plug in x = 3 and y = -6. Solve for k
y = kx^2
-6 = k(3)^2
-6 = k*9
9k = -6
k = -6/9
k = -2/3
So we update y = kx^2 into y = (-2/3)x^2
Meaning that g(x) = (-2/3)x^2 is the equation of the purple curve.
Plug x = 3 into g(x) to find that
g(x) = (-2/3)x^2
g(3) = (-2/3)(3)^2
g(3) = (-2/3)(9)
g(3) = -6
which is the output we want, so this confirms we have the correct coefficient.
Answer:
y=(-2/3)x^2
Step-by-step explanation:
A person is 5.5 feet tall. Do you know their height in inches?
Answer:
66
Step-by-step explanation:
The height of the person in inches by unit conversion will be 66 inches.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
It is known that,
1 feet = 12 inches
Multiply both sides by 5.5
5.5 feet = 12 x 5.5 = 66 inches
Hence "The height of the person in inches by unit conversion will be 66 inches".
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1
Which sentence contains a spelling error?
A. Kallie possesses a good sense of humor, but she can be very mischievous at times.
OB.
You don't need to keep your receipt because the computer will record the transaction.
C. Tina's mother is a promanent member of the Volunteers Association of America.
OD
The movie will portray the life and death of Lieutenant Colonel Rodriquez-Smith.
Reset
Submit
Answer:
D prominent is spelled wrong that's how you spell it
Step-by-step explanation:
Two positive consecutive numbers are represented by x and x+1. If four is added to the first
number and two is subtracted from the second number, the quotient of the new numbers is 11/16
Determine the numbers algebraically.
PLEASE HELP ASAP(50Points)
- thank you in advance :)
Step-by-step explanation:
new numbers are x+4 and x-1so, x+4/x-1=11/16
16x+64=11x-11
16x-11x=-11-64
5x=-75
x = -15
also, x+1 = -14
x =first number
x+1 = second number
(x) + 4 = x + 4 = 1 ^ new number [first number + 4]
(x + 1) -2 = x - 1 = 2 ^ new number [second number - 2]
[tex]\frac{x+4}{x-1}=\frac{11}{16}[/tex]
now, we resolve it:
[tex]\frac{16(x+4)-11(x-1)}{16(x-1)}=0[/tex]
[tex]\frac{16x+64-11x+11}{16x-16}=0[/tex]
[tex]\frac{5x+75}{16x-16}=0[/tex]
we eliminate the denominator and do c.e.: 16x - 16 ≠ 0; 16x ≠ 16; x ≠ 1
5x + 75 = 0
x = - 15
so x + 1 = - 14
But what you ask are two positive numbers! Are you sure that you write correctly the question? Thank you
Write the ratio 7.5 : 2.5 in the form n : 1
Answer:
3 : 1
Step-by-step explanation:
[tex] \huge7.5 : 2.5 = \frac{7.5}{2.5} = \frac{3}{1} = 3 : 1 [/tex]
The equivalent ratio to 7.5 : 2.5 is given by dividing both elements by 2.5, the ratio is: 3 : 1
How to rewrite the ratio?Remember that in a ratio A : B we can always multiply or divide both numbers by the same number, and the ratio does not change.
So, for the ratio:
7.5 : 2.5
To be in the form of:
n : 1
We can just divide both elements by 2.5, so we get:
7.5/2.5 = 3
2.5/2.5 = 1
Then we conclude that:
7.5 : 2.5 is equivalent to 3 : 1
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x to the second power plus 4equals 40 solve for x
Evaluate the expression when m = 4 and n = 7.
n+5m
Answer:
27
Step-by-step explanation:
If you substitute the two give numbers and follow BEDMAS, you can calculate the answer.
n+5m
n = 7 and m = 4
=(7)+(5(4))
=7+20
=27
You are told a professional cyclist eats around 5120 calories everyday for the Tour de Abroad. Estimate how many calories a cyclist would eat during a 21 day race
Answer:
Total calories eat = 107,520 calories
Step-by-step explanation:
Given:
Number of calories everyday = 5120 calories
Number of days = 21
Find:
Total calories eat
Computation:
Total calories eat = Number of calories everyday × Number of days
Total calories eat = 5120 × 21
Total calories eat = 107,520 calories
2) A straight path that has no end and no thickness is known as
Answer:
a line
Step-by-step explanation:
The most commonly used descriptive statistics for a set of numerical scores are the mean and the ____.
Answer: Standard Deviation.
Step-by-step explanation:
DescriptionIn insights, the standard deviation is a proportion of the measure of variety or scattering of a lot of qualities. A low standard deviation demonstrates that the qualities will in general be near the mean of the set, while an elevated expectation deviation shows that the qualities are spread out over a more extensive territory.
If it takes Tim 20 minutes to bike 6 miles, how many minutes will it take him to bike 144 miles?
Answer:
144/6 = 24
24 x 20 = 480
480 is the answer
Answer:
80 MINS to bike 144 miles
Step-by-step explanation:
20=6 miles
144 divided by 6 = 24
24 more miles to go
6 times 4 = 24 miles
20+20+20+20= 80
John and 4 friends are going out for pizza. They split one pizza and
5 drinks. The pizza cost $12.50 and they spent a total of $19.25.
Answer:
Step-by-step explanation:
If you are asking how much money were the drinks?
Then, the answer is $6.75. This is because 19.25 - 12.50 = 6.75
If you are asking how much money per drink, then the answer is $1.35
Write the natural numbers from 1 to 30. What fraction of them are prime numbers?
Answer:
The natural numbers from 1 to 30:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.
The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.
Prime Numbers can only divide by themselves and 1.
Prime Numbers From 1 to 30: 2,3,5,7,11,13,17,19,23,29.... ( 10 )
2×( 1 1/2 – x) is the same as 2 1/3+ 1/15. x=?
Answer:
x = 3/10
Step-by-step explanation:
2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3
1 1/2 = 1 + 1/2 = 2/2 + 172 = 3/2
2(1 1/2 - x) = 7/3 + 1/15
2(3/2 - x) = 35/15 + 1/15
2*3/2 + 2*-x = 36/15
3 - 2x = 36/15
-2x = 36/15 - 3
-2x = 36/15 - 45/15
-2x = -9/15
x = (-9/15)/-2
x = -9 / (15*-2)
x = 9/30
x = 3/10
verify:
2(3/2 - 3/10) = 36/15
2*3/2 + 2*-3/10 = 36/15
3 - 6/10 = 36/15
30/10 - 6/10 = 36/15
24/10 = 36/15 = 72/30
3 − (2x − 5) < −4(x + 2)
Answer:
x < -8
Step-by-step explanation:
3 - (2x - 5) < -4(x + 2)
3 - 2x + 5 < -4*x -4*2
-2x + 8 < -4x - 8
-2x + 4x < -8 -8
2x < -16
x < -16/2
x < -8
an eraser company needs to ship erasers in bags of 780 plus or minus 9 erasers. what is the minimum and maximum erasers that could be in a bag?
Answer:
the minimum is 771 erasers while the maximum is 789 erasers
Step-by-step explanation:
find the length of UX
Answer:
The answer is C. 76.53
Which of the numbers below is less than 48.975? Select all that apply. A) 48.9 B) 48.98 C) 48.963 D) 49
Answer:
A. 48.9'
C. 48.9663'
The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of intervals.
Answer: D = {-5 ≤ x ≤ -2 or 1 ≤ x < 5}
Step-by-step explanation:
When we have a function f(x) = y, the domain is defined as all the possible values of x that the function maps into other values.
In our graph, we can see two curves.
The first one (the one at the left)
Has two black dots, one at x = -5, and other at x = -2
(black dots means that the value is included, white dots means that the value is not included)
So this first part of the domain is:
-5 ≤ x ≤ -2.
Now, the second part has a black dot in x = 1, and a white dot in x = 5, so we can write this part of the domain like:
1 ≤ x < 5
Then the domain of our function is:
D = {-5 ≤ x ≤ -2 or 1 ≤ x < 5}
A rectangle has an area of 24 square inches. If the side
lengths of the rectangle are integers, which of the
following could be the perimeter of this rectangle?
Answer:
Possible perimeters:
50 inches, 28 inches, 22 inches, 20 inches.
Step-by-step explanation:
Given that:
Area of triangle = 24 square inches
Side lengths of rectangle are integers.
To find:
Possible perimeter of this rectangle = ?
Solution:
Here, options are missing, so let us calculate all possibilities for the perimeter.
The formula for Area of a rectangle is given as:
[tex]A = Length \times Width[/tex]
Let us make integer factors of 24 first of all.
[tex]24 = 1 \times 24\\24 = 2 \times 12\\24 = 3 \times 8\\24 = 4 \times 6[/tex]
These are the four possibilities of length and breadth.
Let us calculate the possible perimeter for each case using the formula for perimeter:
[tex]Perimeter = 2\times (Length + Width)[/tex]
1st possible option:
[tex]Perimeter = 2\times (1+ 24) = 50\ inches[/tex]
2nd possible option:
[tex]Perimeter = 2\times (2+ 12) = 28\ inches[/tex]
3rd possible option:
[tex]Perimeter = 2\times (3+ 8) = 22\ inches[/tex]
4th possible option:
[tex]Perimeter = 2\times (4+ 6) = 20\ inches[/tex]