Answer:
[tex]6 \frac{1}{12}[/tex]
Step-by-step explanation:
1) Use Least Common Denominator or (LCD)
LCD = 12
2) Make the denominators the same as the LCD.
[tex]5 + \frac{1 times 4 }{3 times 4 } + \frac{3 times3}{4times 3}[/tex]
3) Simplify. Denominators are now the same.
[tex]5 + \frac{4}{12} +\frac{9}{12}[/tex]
4) Join the denominators.
[tex]5+ \frac{4+9}{12}[/tex]
5) Simplify.
[tex]5+\frac{13}{12}[/tex]
6) Convert 13/12 into a mixed number.
[tex]5+ 1 \frac{1}{12}[/tex]
7) Simplify.
[tex]6 \frac{1}{12}[/tex]
Decimal Form: 6.083333
solve each question 23. -7/8 = 2/3 + n
Answer:
n = - [tex]\frac{37}{24}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{7}{8}[/tex] = [tex]\frac{2}{3}[/tex] + n
Multiply through by 24 ( the LCM of 8 and 3 ) to clear the fractions
- 21 = 16 + 24n ( subtract 16 from both sides )
- 37 = 24n ( divide both sides by 24 )
- [tex]\frac{37}{24}[/tex] = n
The question is in the image below!
Answer:
4
Step-by-step explanation:
16x - 4y = 20
-4y = -16x + 20
y = 4x - 5
Hurry plz!!! Which two numbers have a least common multiple of 60?
OA) 12 and 15
OB) 6 and 10
OC) 6 and 15
OD 6 and 12
Answer:
A) 12 and 15
What is the slope of a line perpendicular to the line whose equation is
x + 2y = -14. Fully reduce your answer.
Answer:
Step-by-step explanation:
2
An angle measures 21.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
angles 100.6 and 79.4 = 180 degrees
Step-by-step explanation:
supplementary angles add to 180
angles 100.6 and 79.4 = 180 degrees
100.6 -21.20= 79.4
x+ x-21.2 = 180
2x = 158.8
x= 79.4
79.4 + 21.2= 100.6
please solve this i want to go to my dads house but i have homework
Answer:
Y=7
Step-by-step explanation:
Veronica family is getting ready for a huge go cart race they only bought 15 gallons of gasoline though if each car needs 2 and 1/5 gallons of gas how many go carts can Be filled for the race
Hi! I believe your answer is 6 go-carts because 15 gallons divided by 2 and 1/5 gallons is 6 go-carts. I hope this helps you! Good luck and have a great day. ❤️
HeLp HelP please please
56767874988558745647457546758467654858765475647567864578547834894543987843579453478974398459737956479547954 -5743785347864357843576453764753764357654376543765467578587438743589438932587534794978789487943578943587943578435879 =?
The area in square feet of a rectangular field is x^2- 90x + 2000. The width, in feet, is x - 40. What is the length, in feet?
The length in foot
Which one?
A. B. C. or D?
Answer:
the answer is C
Step-by-step explanation:
GLAD TO HELP!!
Answer:
C
Step-by-step explanation:
not 100 % sure but here you go!!
Divide -1,365 by 21.
Answer:
-65
Step-by-step explanation:
Two sides of an isosceles triangle are 4 and 16, respectively. Find the length of the third side
Answer:
4 or 16.
Step-by-step explanation:
An isosceles triangle is one with two sides being the same sides, and the base a different one. If two of the lengths are 4 and 16, the last one has to be either of those.
If you carried a ball 50.5 yards at the first half of a game . By the end of the game you carried the ball for a total of 75 yards. Find the percentage of increase
Answer:
percentage of increase = 49%
Step-by-step explanation:
Percentage change for any value is given by
percentage change = (new value - old value)/old value * 100 %
If there is increase in new value, percentage change can be called as percentage increase.
If there is decrease in new value, percentage change can be called as decrease increase.
_________________________________________________
Distance covered in first half of game = 50.5 yards
Distance covered in first full game = 75 yards
percentage of increase = (Distance covered in first full game - Distance covered in first half of game)/Distance covered in first half of game * 100 %
percentage of increase = (75 - 50.5)/50.5 * 100% = 24.5/50 * 100%
percentage of increase = 49% answer
solve the equation
y=x²-2x-24
Answer:
when y is equal to 0
X will be equal to 6 & -4
ill give brainliest to who ever answers this :)
At president bushs inauguration in 2005 the news paper headlines stated there were about 400,000 people in attendance. If the newspaper rounded to the nearest ten thousand, what is the largest number and smallest number of people who could have been there
Answer: Largest = 404999
Smallest = 395,000.
Step-by-step explanation:
Given data:
Number of people in attendance = 400,000
Solution:
If we were to round off to the nearest ten thousand the greatest number we can get would be = 404999.
And following the same principle the smallest number we would be able to get would be = 395000
Therefore, the largest number of people who could have attended the inauguration would be 404999.
And the smallest number of people who could have attended would be 395000.
5x-7-2x=10 what is x equaled to
HELP ASAP!!!!
Answer:
x=-1
Step-by-step explanation:
5x-2x-7=-10
3x-7=-10
3x-7+7=-10+7
3x=-3
x=-1
[tex]\text{Hey \: there!}[/tex]
[tex]\text{5x - 7 - 2x = 10}[/tex]
First you'll have to COMBINE all of your like terms[tex]\bf{(5x - 2x) \: which \: gives \: us \: 3x}[/tex]
New equation becomes: [tex]\bf{3x - 7 = 10}[/tex]Add by 7 on your sides[tex]\text{3x - 7 + 7 = 10 + 7}[/tex]
Cancel out[tex]\bf{ - 7 + 7 \: because \: it \: gives \: you \: 0}[/tex]
[tex]\bf{10 + 7 = 17}[/tex]
New equation: [tex]\bf{3x = 17}[/tex]Divide by 3 on both sides[tex] \frac{3x}{3} = \frac{17}{3} [/tex]
Cancel out [tex] \frac{3x}{3} \: \bf{because \: it \: gives \: you \: 1 \: and \: not \: x \: }[/tex][tex]\text{we \: cant \: divide \: 17 \: from \: 3 \: because \: itll \: give \: us \: a \: decimal}[/tex]
[tex]\boxed{\bf{thus \: your \: answer \: is \: \bf{ \frac{17}{3} }}}[/tex]
Good luck on your assignment and enjoy your day!~
[tex]\frak{loveyourselffirst:)}[/tex]
are the two equations equivalent, explain
b=5m
b=1/5m
(the lesson is on proportional relationships)
Answer:
The two equations are not equal.
Step-by-step explanation:
If you were to fill in the variable with a number, you’d get completely different answers for each equation.
For example,
B=5(2)
5(2) = 10
B 1/5(2)
1/5(2) = 2/5
Evaluate 2x when x=5
Answer:
10
Step-by-step explanation:
If x is 5 then 2x is 2×5 which is 10
Answer:
10
Step-by-step explanation:
x=5
5x2=10
What percent of 300 is 26?
(Equation)
Step-by-step explanation: I would advise writing out the equation
by simply reading the problem from left to right and solving it from there.
So for this problem we have "what percent."
Since "percent" means over 100 and "what"
means x, "what percent" would be x/100.
The word "of" means times, 300 is 300, "is" means equals, and 26 is 26.
So we have x/100 · 300 = 26.
We can rewrite this problem as 300x/100 = 26.
To get rid of the fraction, we multiply both sides
by 100 and we have 300x = 2600.
Dividing both sides by 300, you can use a calculator to
find that x = 8.66666 which rounded to 8.67.
So 8.67% of of 300 is 26.
Which term best describes the number of solutions that will maximize the function below given the constraints listed?
(Assume that x >0and y>0.)
x + 2<5
x-y<2
F(x,y) = 2x+y
unbounded
b. one optimal solution
a.
C.
infeasible
d. alternate optimal solutions
Answer:
b
Step-by-step explanation:
i took the quiz
The school orchestra sells snacks at thier concerts to raise money. At the spring concert they made 9/8 as much money as they made at their fall concert. Did they make more money at their spring or fall concert?
Answer:
More money was made at the spring concert
Step-by-step explanation:
Here, we want to know if more or less money was made during the spring or fall concert
from the question, we are told that the amount made at spring concert is 9/8 of what is made at a fall concert
Since 9/8 is greater than 1, we can confidently say that the amount made at the spring concert is greater than what she made at the fall concert
4. Jennifer earned $50 from her part time job. She wants to put $15 of her earnings into a savings
account. She spends $24.99, including tax, on a new hardcover book, but also wants to buy some new
bookmarks. If each bookmark costs $1.75, including tax, what is the maximum number of bookmarks
she can buy?
Answer:
she should be able to buy 14 books i might be wrong i dont really know :/
Step-by-step explanation:
What is the value of X in the equation 7× + 2y =48, when y = 3
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]7x+2\left(3\right)=48[/tex]
[tex]7x+2\cdot \:3=48[/tex]
[tex]7x+6-6=48-6[/tex]
[tex]7x=42[/tex]
[tex]\frac{7x}{7}=\frac{42}{7}[/tex]
[tex]x=6[/tex]
Name the pair of angle and find the measure of angle b
Simplify 5x +7 + 4(2x + 3)
Answer:
13x+19
Step-by-step explanation:
You are given a 14 inch by 8 inch rectangular sheet of metal from which you are to construct a box. You are to cut a length, x, from each corner of the sheet of metal so that you can fold up the sides creating a box. Find the value of x that will yield the maximum volume of the box. Round your solution to the nearest hundredth.
Answer:
x = 1.639 in
Step-by-step explanation:
With these instructions, the length of the box would be (14-2x), the width would be (8-2x), and the height would be x, so the equation for volume would be width*length*height, or
[tex]V=(14-2x)(8-2x)(x)[/tex]
[tex]V=4x^3-44x^2+112[/tex]
Now we solve for dV/dx because we want to find maximum volume
[tex]\frac{dV}{dx} =12x^2-88x+112[/tex]
[tex]\frac{dV}{dx} =4(3x^2-22x+28)[/tex]
Now we let dV/dx equal zero to find critical values
[tex]0=4(3x^2-22x+28)[/tex]
[tex]0=3x^2-22x+28[/tex]
[tex]x=\frac{11+\sqrt{37} }{3}[/tex], [tex]x=\frac{11-\sqrt{37} }{3}[/tex]
Now we see where dV/dx changes signs:
dV/dx changes from positive to negative at [tex]\frac{11-\sqrt{37} }{3}[/tex]
and from negative to positive at [tex]\frac{11+\sqrt{37} }{3}[/tex]
so V(x) has a local maximum when x = [tex]\frac{11-\sqrt{37} }{3} = 1.639[/tex] in
12-5h=h+6 whats the answer
Answer:
h=1
Step-by-step explanation:
hope it helps
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x)?
1
3
O 2
O 13
Answer:x=2
Step-by-step explanation:
The value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x) is 2.
The correct option is C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
2.5(6x - 4) = 10 + 4(1.5 +0.5x)
Solving the equation for x we get
15x - 10 = 10 + 6 + 2x
15x - 2x = 16 + 10
13x = 26
Divide both side by 13 we get
13x/ 13 = 26 /13
x= 2
Thus, the value of x is 2.
Learn more about equation here:
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