Answer:
4 is the correct answer.
Number "4" can each term of the equation be multiplied by to eliminate the fractions before solving.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
To eliminate the fractions in the equation -3/4m -1/2m=2+1/4m, we need to find the least common multiple (LCM) of the denominators of the fractions, which is 4.
We can then multiply each term of the equation by 4 to eliminate the fractions.
So, multiplying both sides of the equation by 4, we get:
-3m - 2m = 8 + m
To simplifying, we have:
-5m = 8 + m
To solve for m, we can isolate the variable on one side of the equation. Adding 5m to both sides, we get:
4m = 8
Finally, dividing both sides by 4, we get:
m = 2
Learn more about algebraic Expression here:
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the capacity of cylinder tank is 539 litres . if its height is 1.4m then find the area of base
Step-by-step explanation:
Solution:
Here,
Volume of the tank=539 litres
=539×1000cm^3=539000cm^3
Height=1.4×100cm=140cm
Let the radius of the base be r cm
Then,
22/7×r^2×140=539000
or,r^2=539000×7/22×140
or,r^2=1225
or,r=35 cm
So,
Area of base=pie r^2
=22/7×35^2
=3850 cm^2
Keep smiling and hope u r satisfied with my answer.Have a good day :)
Given Data:
Capacity of the Cylinder tank, V = 539 litres =
Height, h = 1.4 m
Area of the Cylinder, A = ?
Convert litres to m³: I litre = 0.001 m3
: . Capacity of the Cylinder tank = 539 litres = 0.539 m³
Let the radius of the base be r cm.
Find the radius of Cylinder:
Volume = πr²h
0.539 = πr²(1.4)
0.539 ÷ 1.4π = r²
r² = 0.12255
r = √0.12255
r = 0.35m
Find Area of Base:
Area, A = πr²
Area = π(0.35)² = 0.385 m²
Answer: The Area of base is 0.385 m²
Find the cube root of 1.331
Answer:
answer is 1.1
Step-by-step explanation:
11(1331)
11(121)
11(11)
(1)
10(1000)
10(100)
10(10)
(1)
(11/10*11/10*11/10)^(1/3)
=11/10
=1.1.
Answer:
1.1
Step-by-step explanation:
write an expression for the sequence of operations described below.
g fewer than the sum of f and 8
Do not simplify any part of the experssion.
Step-by-step explanation:
f + 8 > g this can be written in other ways but this sums it up
A vegetable farmer fills of a wooden crate with of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
7. Is 5.787787778... a rational or irrational number?
Explain.
Answer:
Irrational
Step-by-step explanation:
Its irrational as it has no pattern of numbers after decimal point and the number are infinite
Answer:
irrational because it has a coma after one number
baseten school district bought 5,000 pencils. they are distributing the pencils evenly to 10 school in the district . how many pencils will each school get
Answer:
500
Step-by-step explanation:
5000 divided by 10
Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?
Answer:
350
Step-by-step explanation:
Do 140/0.4=350
Answer:
350 apples
Step-by-step explanation:
a = total number of apples in the crate
a* 40% = number of red apples
a * .40 = 140
Divide each side by .40
a * .40/.40 = 140/.40
a =350
(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con
We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]From the Question we are told that
[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]
Generally the equation for the Resultant PR is mathematically given as
[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]
a)
Generally the equation for the Distance around they park is mathematically given as
[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]
[tex]X=190yd[/tex]
b)
Generally the equation for the Path QM is mathematically given as
From the diagram we see that
[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]
[tex]QM=40yd[/tex]
c)
From the question we are told
Average speed of [tex]150yd/m[/tex]
Total distance traveled
[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]
Therefore
Time
[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]
[tex]T=1.5minutes.[/tex]
in conclusion
The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]For more information on this visit
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1. I can wash a car in 20 minutes. How long will it take me to wash 20 cars?
2. I can type 4 words per minute. How long will it take me to write a 500 word essay?
Solve for x. Then find the length of each side of the figure.
Answer:
x = 6 for Side 14 - 2x
x = 9 for Side 2x + 1
x = 11 for Side 3x - 1
Step-by-step explanation:
14 - 2x + 2x + 1 + 3x - 1 = 26
-2x + 2x + 3x - 1 + 1 + 14 = 26
3x + 14 + 1 - 1 = 26
3x + 14 = 26
-14 -14
-------------------
3x = 12
/3 /3
------------------
x = 4
Now, plug x = 4 into all the side expressions and find out their lengths.
Side 14 - 2x14 - 2x
= 14 - 2(4)
= 14 - 8
= 6
Side 2x + 12x + 1
= 2(4) + 1
= 8 + 1
= 9
Side 3x - 13x - 1
= 3(4) - 1
= 12 - 1
= 11
Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.
6 + 9 + 11 = 26
26 = 26 CORRECT
jordan cooked a 16 1/5 pound turkey in 5 2/5 hours. How many minutes per pound did it take to cook the turkey?
Answer:20 minutes per pound
we know that
To find the unit rate divide the total time by the total weight
Convert mixed number to an improper fraction
Convert hours to minutes
so
Find the unit rate
therefore
20 minutes per pound
Simplify each
2. 2
— - —
5 3
3 3
— + —
4 8
With explanation please
Answer:
1) [tex] - \frac{4}{5} [/tex]
2) [tex] \frac{9}{8} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]
[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]
[tex] = - \frac{4}{15} [/tex]
°■°■°■°■°■°■°■°■°■°
[tex] \frac{3}{4}+\frac{3}{8} [/tex]
[tex] \frac{6+3}{8} [/tex]
[tex] = \frac{9}{8} [/tex]
Select all ratios equivalent to 7:5.
Answer:
77 : 55
Step-by-step explanation:
77 : 55
divide the ratio by 11.
7 : 5
Which rule describes the pattern shown? 41, 54, 67, 80, 93, 106
Answer:
adding by 13
Step-by-step explanation:
subtract 54-41
What is the value of x in the triangle?
Answer:
A.
Step-by-step explanation:
Answer:
24 B
Step-by-step explanation:
12sqr(2)*sqr(2)=24
Because of 45'45'90 triangle rules
From midnight to 6:00 am, the temperature dropped 0.9°C each hour. If the temperature at 6:00 am was -0.4°C, what was the temperature at midnight?
Help like asap
Answer:
5.8°C
Step-by-step explanation:
[tex]6 \times 0.9 = 5.4[/tex]
[tex]Therefore, 0.9 + 5.4[/tex]
[tex] = 5.8[/tex]
What is the solution of the equation?
-6x+5= 3-5x
Answer:
I think the answer is x = 2
Answer: 2
Step-by-step explanation:
-6x+5=3-5x
+5x +5x
-x +5=3
-5 -5
-x = -2
-2 -2
X=2
Need help ASAP pls thx
Answer:
the correct answer is 60 :)
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]
Find the y-intercept of the line: 6x – 3y +6=0
Answer:
Step-by-step explanation:
The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:
6(0) - 3y + 6 = 0 and
-3y + 6 = 0 and
-3y = -6 so
y = 2
simplify [(x-4)/(x-4)2]
What is 32,651.97 written in expanded form? PLease dont lie
Step-by-step explanation:
30000+2000+600+50+1+0.9+0.07
Concept:
First write ten thousands ,then thousands then hundred,then tens then ones then thenths then hundredths.
What is 234 (two hundred and thirty four) X 0.35?
Answer:
81.9
Step-by-step explanation:
mark me brainliest plzz
234(234)×0.3
234×234×0.3
54,756×0.3
16,426.8
Cady found that she uses 1/6 of a roll of paper towels each week. How many rolls of paper towels will she use in 8 weeks?
Answer:
[tex]1 \frac{2}{6} [/tex]
Step-by-step explanation:
[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]
HELPPPGPTPPFPPZPSKZJZ
5. Define linear pair
please answer fast
a liner pair is the pair of adjacent angles formed when two line intersect
Identify the distance, to the nearest tenth, between J(−3,4) and K(7,−9).
A. 1.5
B. 9.2
C. 16.4
D. 14.7
Answer: C. 16.4
Concept:
Here, we need to know the idea of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Given information
(x₁, y₁) = (-3, 4)
(x₂, y₂) = (7, -9)
Given expression
[tex]Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the expression
[tex]Distance =\sqrt{(7+3)^2+(-9-4)^2}[/tex]
Simplify value in the parentheses
[tex]Distance =\sqrt{(10)^2+(-13)^2}[/tex]
Simplify exponents
[tex]Distance =\sqrt{100+169}[/tex]
Simplify by addition
[tex]Distance =\sqrt{269}[/tex]
Convert square root to decimal and round the answer to the nearest tenth
[tex]\boxed{Distance=16.4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The x-intercept of the equation 2y + 3x = 6 is:
A. -3.
B. 3.
C. 2.
Answer:
C
Step-by-step explanation:
X intercept <=> y=0
Hence the x intercept is x=2
Show that 6 – 4x - x^2 can never be greater than 10.
( This is an Additional Math Question )
Answer:
see explanation
Step-by-step explanation:
Given
6 - 4x - x²
Since the coefficient of the x² term < 0 then parabola has a maximum vertex.
To find the x- coordinate of the vertex
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
with a = - 1 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2
The corresponding y- coordinate is found by substituting x = - 2 , that is
6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10
vertex = (- 2, 10 )
The maximum value of the function is the y- coordinate of the vertex
Then maximum value is 10
Thus 6 - 4x - x² is never greater than 10
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10
Answer:
Area = 6x + 36
Perimeter = 3x + 10
Step-by-step explanation:
Sides of the triangle: 12 ; (x - 7) & (2x + 5)
Perimeter of the triangle = sum of all the sides
= 12 + x - 7 + 2x + 5
= 2x + x + 12 - 7 + 5 {Combine like terms}
= 3x + 10
Area of triangle:
Base = 12 & height = h = x +6
[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]
= 6 *(x + 6) {Use distributive property}
= 6*x + 6*6
= 6x + 36
Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relatinoship between her labeling speed and the number of minutes it would take her to finish labeling.
it will take her 34 mins coz I said so innit