Solve the fraction problem and reduce the answer to simplest form:
1/5 + 3/4 = ??
7/9 - 3/5= ??
6/8 - 2/7 = ??
5/6 + 5/10 = ??
7/8 - 2/3 = ??
8/10 + 5/6 = ??
9/11 - 2/3 = ??
Answer:
1. 19/20
2. 8/45
3. 13/28
4. 4/3
5. 5/24
6. 49/30
7. 5/33
Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]
where x = numerator and y = denominator.
a) 1/5 + 3/4
We find the Lowest common denominator (5, 4) = 20
Hence: 4 + (5 x 3) / 20
= 4 + 15 / 20
= 19/20
b) 7/9 - 3/5
We find the Lowest common denominator (5, 9) = 45
Hence: (7 x 5) + (9 x 3) / 45
= 35 - 27 / 45
= 8/45
c) 6/8 - 2/7
We find the Lowest common denominator (7, 8) = 56
Hence: (6 x 7) - (2 x 8) / 56
= 42 - 16 /56
= 26/56
= 13/28
d) 5/6 + 5/10
We find the Lowest common denominator (6, 10) = 30
Hence: (5 x 5) + (5 x 3) / 30
= 25 + 15 / 30
= 40/30
= 4/3
= 1 1/3
e) 7/8 - 2/3
We find the Lowest common denominator (3, 8) = 24
Hence: (7 x 3) - (2 x 8) / 24
= 21 - 16 / 24
= 5/24
f) 8/10 + 5/6
We find the Lowest common denominator (6, 10) = 30
Hence: (8 x 3) + (5 x 5)
= 24 + 25 / 30
= 49/30
= 1 19/30
g) 9/11 - 2/3
We find the Lowest common denominator (3, 11) = 33
Hence: (9 x 3) - (11 x 2) / 33
= 27 - 22 / 33
= 5/33
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Need help please not understanding
Answer:
The value of ∠4 is 45° .
Step-by-step explanation:
Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.
⇒ ∠2 = ∠4 [ Corresponding angles ]
⇒ x + 30° = 2x + 15°
⇒ 2x - x = 30° - 15°
⇒ x = 15°
Hence the value of x is 15°
⇒ ∠4 = x + 30°
⇒ ∠4 = 15° + 30°
⇒ ∠4 = 45°
★ Hence the value of ∠4 is 45° .the table shows the number of gold metals won by united states athletes during the summer olympics
Answer:
A
Step-by-step explanation:
simplify and show your work 8÷(10−9) 3 ×7+4 2
If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?
Answer:
The value of g(f(3)) = 2
Step-by-step explanation:
We are given:
[tex]f(x)=2x[/tex]
[tex]g(x) = x-4[/tex]
And we need to find g(f(3))
First we need to find g(f(x))
by putting the value of f(x) into g(x) i.e put x = 2x
[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]
Now, we need to find g(f(3)) by putting x = 3 in g(f(x))
[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]
So, the value of g(f(3)) = 2
The sixth-grade chorus has a boy-to-girl ratio of 3:8. If the total number of chorus members was 11 last year and 33 this year, how many boys and girls were there for each of these two years?
If x and y vary directly, and x = 12 when
y = 4, what is the value of x when y = 1 ?
Please help!! the temperature at wonder lake is 12°f. during a storm, the temperature changes by -26° f. what is the temperature after the storm
Answer:
-14°F
Step-by-step explanation:
First, we start at 12°f. Then, the temperature changes by -26°f. This means that we add (-26°f) to what we currently have. We then have
12 + (-26)
= 12-26
= -14°F
A store is having a 20%-off sale on its video games. What is the amount of the discount on a game that regularly costs $25?
Answer:$20
Step-by-step explanation:
$25x.20=5
$25-5=20
A house cost $320,000 in 2005. By the year 2019, its value was $560,000. What was the growth rate as a percent for that 14-year period? (Remember, i=(p^2/p^1)^1n−1
Answer:
Growth rate = 4.08%
Step-by-step explanation:
Rate of interest 'i' for the growth in the cost of the house,
i = [tex](\frac{\text{Final amount}}{\text{Initial amount}})^{\frac{1}{n}}-1[/tex]
Here 'n' = Duration or time (in years)
i = [tex](\frac{560000}{320000})^{\frac{1}{14}}-1[/tex]
i = [tex](\frac{7}{4})^{\frac{1}{14}}-1[/tex]
i = 1.0408 - 1
i = 0.0408
i = 4.08%
Therefore, growth rate for this period is 4.08%.
A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26
17) Find DE 3x - 28 3x – 30 G E F 33
The numerical length of DE is 11.
We have a Line Segment DG such that E and F is between D and G.
We have to determine the length of DE.
What is Line Segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
According to question, we have -
DE = 3x - 28
EF = 3x - 30
FG = x
DG = 33
Now -
DG = DE + EF + FG
33 = 3x - 28 + 3x - 30 + x
7x = 33 + 58
7x = 91
x = 13
Therefore -
DE = 3x - 28 = 3 x 13 - 28 = 39 - 28 = 11
Therefore - DE = 11
Hence, the numerical length of DE is 11.
To solve more questions on Lines and Lengths, visit the link below -
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The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?
Answer:
634
Step-by-step explanation:
The population of the birds in 2001 = 230000
From 2001 to 2021 = 20 years
Given:
y = 200000[tex](0.75)^{x}[/tex]
where x is the number of years since 2001.
The population of the birds after 20 can be determined by;
y = 200000[tex](0.75)^{20}[/tex]
= 200000(3.171211939 x [tex]10^{-3}[/tex])
= 634.2424
y = 634
Thus, there would be 634 endangered birds in 2021.
Nick has a bag of marbles. Without looking in the bag, he
selects a marble, records its color, and puts it back in the
bag. All marbles are equally likely to be chosen. He
performs 100 trials.
Number of times a white marble was chosen
48
Number of times a red marble was chosen
13
Number of times a green marble was chosen 27
Number of times a blue marble was chosen
Based on the data Nick collected, what is the estimated probability, in
simplest form, of choosing a white marble from the bag? please help me
Answer:
Step-by-step explanation:
Ok wait. Try add
Answer:
12/25
Step-by-step explanation:
3 1/2 x 2 3/4 divided by 1 1/2
Answer:
The answer to the question provided is
[tex]6 \frac{5}{12} [/tex]
Answer:
[tex](3 \frac{1}{2} \times 2 \frac{3}{4} ) \div \frac{11}{2} \\ = ( \frac{7}{2} \times \frac{11}{4} ) \div \frac{11}{2} \\ = ( \frac{77}{8} ) \times ( \frac{2}{11} ) \\ = ( \frac{7}{4} ) \\ = 1 \frac{3}{4} [/tex]
on a timer help me fast plssssssssssssssssssssssssssss
Answer:
22+x<=55
D
Step-by-step explanation:
The bowling alley charges a set fee for shoe rental and charges per game bowled. The total
cost of bowling can be modeled by c(b) = 5.75b + 4.25 Which statements about the function
are true?
I.
The cost for each game of bowling is $5.75.
II.
The shoes cost $5.75 to rent.
III.
The number of games bowled is represented by b.
1.
I and II only
2.
I and III only
3.
II and III only
4.
I, II and III
Submit Answer
Answer: (2.)
1 and 111 only
Step-by-step explanation:
colin buys a tv for £780. It depreciates at a
rate of 5% per year. how much will
it be worth in 6 years
Answer:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them
SIMPLE ONE-TIME INTEREST
I=POrA=P0+I=P0+P0r=P(1+r)
I is the interest
A is the end amount: principal plus interest
P
0
is the principal (starting amount)
r is the interest rate (in decimal form. Example: 5% = 0.05)
Step-by-step explanation:
please help me with these three questions, i'll give brainliest
Answer:
The result would be 0 (zero)
Step-by-step explanation:
Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.
What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.
Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.
And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H
Hopefully this is what you were looking for!
A rectangular table top has dimensions as 1.52m and 0.75m. Find the perimeter in cm
That is a question about perimeter of rectangle.
The perimeter of a geometric shape is the sum of the value of the all sides.
In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.
So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.
Therefore, the perimeter of that rectangle is [tex]1.52+1.52+0.75+0.75= 4.54[/tex]m.
But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.
1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.
Thus, the perimeter of that rectangular table is [tex]4.54\cdot 100 = 454[/tex]cm.
5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?
Answer:
12, 15, 18
Step-by-step explanation:
4+5+6 = 15
45/15 = 3
multiply 4 x 3 = 12
multiply 5x 3 = 15
multiply 6 x 3 = 18
(+5) - (-7)
thank you in advance
Answer:
12
Step-by-step explanation:
PLZ HELP!!!
write an equation to match this graph.
Answer:
y = 1/5x - 5
Step-by-step explanation:
slope intercept form: y=mx+b
m is the slope
to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5
b is your y-intercept, aka where the line comes in contact with the y-axis
by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5
therefore your answer is: y = 1/5x - 5
hope this helped!
PLEASE HELP!!!
You are graphing quadrilateral ABCD in the coordinate plane. The length of segment AB is the same as the length of segment DC, and both segments are horizontal. The following are three vertices of quadrilateral: A (1, 1), C (4.5, 4), and D (-1.5,4). All you know about point B is that is in the first quadrant.
What are the coordinates of point B?
Answer:
B(2.75,2.5)
Step-by-step explanation:
B(x,y)
Bx= Ax+Cx 1 + 4.5 5.5
---------- = -------------- = --------- = 2.75
2 2 2
By = Ay+Cy 1 + 4 5
---------- = ----------- = ---------- = 2.5
2 2 2
coordinates of point B(2.75,2.5)
Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.
Answer:
1/11>x
Step-by-step explanation:
4−23x>2−x
+23x to both sides
4>2+22x
-2 from both sides
2>22x
Divide by 22
1/11>x
Determine if the data is skewed or symmetric.
Answer:
skewed
Step-by-step explanation:
Can someone help me plzzz!!
Answer:
Multiply dno. plus nume. by 2
Step-by-step explanation:
get a base of 100
HELPPPPPPOPPOPPPPP???
z = 106
y = 74
Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.
5 pts
Question 17
A right triangle has a base of 3m and a height of 4m. What is the area of
the triangle if it has been dilated by a scale factor of 2?
*Hint: Area =
base height
2
O 12m
O 24m
O 10m
O 6m
9514 1404 393
Answer:
(b) 24 m²
Step-by-step explanation:
After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...
A = 1/2bh
A = 1/2(6 m)(8 m) = 24 m²
Please i really need help