Answer:
Step-by-step explanation:
Here is the equation for this problem:
2 1/2 + 1 3/4 + x = 12
To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)
3/2 + 7/4 + x = 12
The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)
3 x 2 = 6
2 x 2 = 4
Now, the equation looks like this:
6/4 + 7/4 + x = 12
Now add the fractions. The denominator stays the same, but the numerators are added together.
6/4 + 7/4 = 13/4
Now, you can revert 13/4 back to a mixed number
13/4 = 3 1/4
The equation should look like this now:
3 1/4 + x = 12
Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)
12 - 3 1/4 = 8 3/4
Now, it should look like this:
x = 8 3/4
You could change the 8 3/4 into a decimal as well, which would look like this:
x = 8.75
Here is a summary of the whole equation:
2 1/2 + 1 3/4 + x = 12
3/2 + 7/4 + x = 12
6/4 + 7/4 + x = 12
13/4 + x = 12
3 1/4 (-3 1/4) + x = 12 (-3 1/4)
x = 8 3/4 or 8.75 acres
Answer:
Lisa has 8 3/4 acres left for home sites
There will be 7.75 acres of land left for home sites.
What is Mixed Fraction?Mixed fractions are type of fractions which includes both a whole part and a fractional part.
It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a + [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.
Total land for housing development = 12 acres
Land covered by park = 2 [tex]\frac{1}{2}[/tex]
= (2 × 2 + 1) / 2
= 5/2 acres
Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]
= (1 × 4 + 3) / 4
= 7/4 acres
Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{17}{4}[/tex]
= 4.25 acres
So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])
= 12 - 4.25
= 7.75 acres
Hence Lisa can build the home sites in the remaining 7.75 acres of land.
To learn more about Mixed Fractions, click :
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Rule 1: Multiply by 2 then add 1 starting from 1. Rule 2: Divide by 2 then add 4 starting from 40.
first I start with 1 and multiply 2 =2 and add 1 =3
so on
start with 40 divided by 2 =20+4=24
The sum total of the sequence would be 45, using the two steps given.
What is Algebra?This refers to the use of mathematics to solve equations and letters represent numbers.
Although your sequence is incomplete because it only gave two steps, I would work with only those steps.
Hence, if the first number is 1,
Multiply by 2, 1 x 2= 2
DIvide by 2, 2/2= 1
Add 4, starting from 40.
1+44= 45.
Read more about algebra here:
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i need help on this question
Answer:
it should be -7
Step-by-step explanation:
-13-2=-15
-15 add 8 = -7
hope this helps.
just do problem 23e. thanks
Answer:
sorry but what do i answer
Answer:
d
Step-by-step explanation:
A grocer wants to mix nuts costing 5.00 per kilogram with nuts costing 8.00 per kilogram to make a 10 kilogram mixture for 6.00 a kilogram. How much of each type should he mix.
Step-by-step explanation:
let E be weight of expensive nuts, C be cheaper nuts
E*8+C*5=10*6 value equation
E+C=10 mass equation
Solve it by any method, I will do determinants
Det: 8-5=3
E= (60-50)/3=10/3 =3.33 lb
C= 80-60 /3=20/3 =6.66 lb
Answer:
mix nuts 20/3
nuts 10/3=
Step-by-step explanation:
x+y=10
5x+8y=60
Please help will give brainiest!!! 4. The pathway of a quarter being thrown off a bridge can be modeled by the equation h = -16t2 + 72t + 120. At what time does the quarter reach a height of 50 feet?
OMG big news to my family our rabbit had babies
Answer:
OMGGGG SO CUTEEE!!!
Step-by-step explanation:
Answer:The most wholesome thing I have ever seen in my life.
Step-by-step explanation:
Also 77 + 33 = 100!!
Please! I really need some help! Do you understand 8th Grade math?
Answer:
The values that are in the correct spots are: 82, 62, 163 and 300
Step-by-step explanation:
There are 144 boys in total. We know that 82 attended the fall fling, so if we do 144-82 we know that 62 boys attended the spring social, therefore the vaules 82 and 62 are in the correct spots. We know that out of 156 girls, 75 attended the spring social. 156-75=81. The values 75 and 81 are in the wrong spots, therefore they are not correct.
82 boys + 81 girls at the fall fling = 163 total students at the fall fling, therefore 163 is also in the correct spot.
62 boys + 81 girls at the spring social = a total of 137. The chart says the total is 143 which is incorrect.
156 total boys plus 144 total girls = 300 total students, therefore 300 is in the correct spot.
Answer:
The values that are in the correct spots are: 82, 62, 163 and 300
Step-by-step explanation:
The simple answer
i really need help on this
Answer:
b
Step-by-step explanation:
first, figure out the radius. the radius is the 1/2 of the diameter, so 5. in the equation, the formula is pi x radius^2. so 5^2 is 25. then 25x3.14 is b, and we have our answer.
Answer:
b
Step-by-step explanation:
10 divided by 2=5 radius
to get area = Radius^2 x pi
5x5x3.14= 78.5 square units
Hope this helped!
what is -4/3x < -8 equal?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - \frac{4}{3} x < - 8[/tex]
[tex]\qquad \sf \dashrightarrow \: - x < - 8 \times \frac{3}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \: - x < - 2 \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - x < - 6[/tex]
Multiply both sides by -1, hence inequality changes
[tex]\qquad \sf \dashrightarrow \:x > 6[/tex]
Answer:
6
Step-by-step explanation:
PLEASE GIVE CORRECT ANSWER WILL MARK BRAINIEST
Answer:
a - 30.5
b - 31
c - 31
d - 2
Step-by-step explanation:
Mean is average:
31,29,31,30,31,30,31,31,30,31,30,31
366/12
30.5
Median is the middle of the data points.
Line data points up in order from least to greatest.
29,30,30,30,30,31,31,31,31,31,31,31
12/2=6
Since there is an even amount data points the median is the mean of the two middle data points:
Middle data points: 31,31
31
Mode is the most common data point.
It would be 31.
Range is highest point subtracted by lowest point.
31-29=2
Graph the solution to this inequality on the number line.
1/4x − 2 < − 1 1/2
Answer:
Draw an open circle on 2 and continue the arrow left.
Step-by-step explanation:
Answer:
x < 2
Step-by-step explanation:
PLEASE I REALLY NEED THISS
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?
Answer:
It increased by 33.696
Step-by-step explanation:
I took the test, :D-|--=:
ANSWER QUICKLY!!!
Which graph shows all real numbers closer to 0 than they are to 4?
Answer:
Graph A
Step-by-step explanation:
It’s the real numbers closer 0 then they are at 4.
4x+32=12x-8 please help me
Answer:
x=5
Step-by-step explanation:
<=>12x-4x=32+8<=>8x=40<=>x=40/8=5
I will give brainliest to the first person to answer
Write the equation for the following situations
After adding an 8 pound box of tennis rackets to a crate with 5 identical boxes of ping pong paddles, the crate weighed 72 pounds.
Answer:
I would say 80 pounds worth of tennis and ping pong equipment
Step-by-step explanation:
8lbs+72lbs=80lbs
answer all 3 for brainliest
Answer:
4. 30 ft
5. 4 m
6. 32 mm
Step-by-step explanation:
diameter= radius x 2
Find the measurements
Answer:
angle 2=120°
angle 1=60
Step-by-step explanation:
70+50=120
or
180-(70+50)=60
angles on a straight line add up to 180°
180-60=120
Beinggreat78, this is mostly for you. but whoever gets it right can have brainliest, but answer ASAP!
your welcome and pls give me the brainliest
Let's simplify these ratios:-
1. 3:9
Divide both sides by 3:-
1:3
2. 9:27
Divide both sides by 9:-
1:3
3. 2:4
Divide both sides by 2:-
1:2 (Option C)
4. 30:90
Divide both sides by 30:-
1:3
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. What is the plane’s speed in miles per hour? At this rate, how many miles can it travel in 10 hours?
Can you answer the question in the screen shot? Thanks!
Another question about this one:
For every 3 circles there are _ : _ total shapes, therefore the simplified ratio of circles to total shapes is _ : _
fill in teh blanks 9516 / 4
Answer:
2,379 & look below for remaining numbers
Step-by-step explanation:
The divisor 4 goes to the left of the whole box, because you are dividing all the numbers by 4.
So for the last box, 4 x 9 = 36
For the top of the 3rd box, it's 4 x ? = 280, so you do 280 divided by 4 = 70
For the 2nd box, 4 x 300 = 1200
For the 1st box, I did the problem of 9516 divided by 4 in long division form. 4 goes into 9 only 2 times & the 2 is in the thousands place. So on top of the 1st box goes 2,000 & in the box goes 4 x 2,000 = 8,000.
Add 8,000 + 1,200 + 70 + 36 = 9,516
9,516 divided by 4 = 2,379
2,000 + 300 + 70 + 9 = 2,379
Which of the following equations are linear functions? Explain how you got your answer.
Select the three linear functions.
A. y = x to the power of 2 - 1
B. y = 2x + 1
C. y = 1/2x - 5
D. y = 1/3x to the power of 2
E. y = -x
Answer:
B, C, and E
The reason B, C, and E are the answer's is because the equation of a linear equation is y= mx+b. B, C, and E are written this way. We can eliminate A and D because They are quadratic equations, because the X is squared.
Hope This Helps! :) Please mark brainliest!
pls help me thank you
Answer:
11x11= 1
1/2x11x10x4
=220
121+220=341
I WILL GIVE BRAINLIEST
Answer:
y = -5x - 3
Step-by-step explanation:
To answer this the slope must be clculated first
slope equation:
[tex]\frac{y2-y1}{x2-x1}[/tex]
these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)
we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.
the next odered pair is 2 so x2 = -3 and y2 = 0.
With this information layed out we can solve:
[tex]\frac{0-10}{-3-(-5)}[/tex]
0 - 10 = -10
-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive
[tex]\frac{-10}{2}[/tex] = -5
the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:
y = mx+b
There are other equations that can be used for a line but with the info given this equation best suits the data.
m = slope
y and x = are the ordered pair you can input into the equation to slove
b = the y intercept
So the equation would be:
y = -5x - 3
Point A is 6 units away from the origin. Select all possible coordinates of point A.
A. (6,6)
B. (6,1)
C. (6,0)
D. (1,6)
E. (0,6)
Is this the right answer?
Answer:
Yes, I think that is the right answer.
Step-by-step explanation:
meth, please help meeeeeeh
Answer:
50⁰
Step-by-step explanation:
we know that sum of angles in a triangle is equal to 180⁰
on adding the angles we get
x⁰+x⁰+20⁰+x⁰+70⁰=180⁰
3x⁰+90⁰=180⁰
3x⁰=90⁰
x⁰=30⁰
Now angle R=x+20=30+20=50⁰
Answer is 50⁰
I HOPE IT HELPED YOU
Answer:
50 degrees
Step-by-step explanation:
Just started Order of Operations, can someone help me please?
(1+20-9/32)*((2+5)2+16/2)
**Will give Brainliest for correct answer**
*50 points possible**
455.8125 or [tex]\sf 455\frac{13}{16}[/tex]
follow the BODMAS rule:
B - bracketO - orderD - divisionM - multiplicationA - additionS - subtractionLet's start!
(1+20-9/32)*((2+5)2+16/2)
remove brackets
(1+20-9/32)*(7*2+16/2)
division
(1+20-0.28125)*(7*2+8)
multiplication
(1+20-0.28125)*(14+8)
addition
(21-0.28125)*(22)
subtraction
(20.71875)*(22)
simplify
[tex]\sf 455.8125 \ \ \ or \ \ 455\dfrac{13}{16}[/tex]
Answer:
7293/16 or 455 13/16
Step-by-step explanation:
To solve this problem, we need to remember the BPEMDAS.
Where:
B = BracketsP = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = SubtractionSolving the expression using PEMDAS:
[tex]\huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[2+5]2+\dfrac{16}{2} \huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[7]2+\dfrac{16}{2} \huge{\text{)}[/tex] [Brackets]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 7\times 2+\dfrac{16}{2} \huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+\dfrac{16}{2} \huge{\text{)}[/tex] [Parenthesis multiplication]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+8\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}\dfrac{160}{160} +\dfrac{3200}{160} -\dfrac{45}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex] [Parenthesis Add]
[tex]\rightarrow \huge{\text{(}\dfrac{3315}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex] [Parenthesis Add/Subtract]
[tex]\rightarrow \dfrac{3315}{80} \times 11 = \dfrac{663}{16} \times 11[/tex]
[tex]\rightarrow \dfrac{7293}{16}[/tex] [Multiplication]
To avoid confusion, let's convert the fraction into mixed fraction. Refer to image attached.
A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5 more red balls are added to the bag, the probability becomes 3/4. Find the value of X.
Answer:
10
Step-by-step explanation:
The current probability of picking a red ball is [tex]\frac{x}{15}[/tex]. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:
[tex]\frac{x+5}{15+5} = \frac{3}{4}[/tex]
When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).
60 = 4x + 20
40 = 4x
x = 10 red balls