Answer:
14/30Step-by-step explanation:
How to simplify: • divide both numerator and denominator by their GCF.18/45= 18 ÷ 9 / 45 ÷ 9= 2/514/30= 14 ÷ 2 / 30 ÷ 2= 7/1510/25= 10 ÷ 5 / 25 ÷ 5= 2/58/20= 8 ÷ 4 / 20 ÷ 4= 2/516/40= 16 ÷ 8 / 40 ÷ 8= 2/5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
[tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex] in the list of fractions [tex]\frac{18}{45}, \frac{14}{30} , \frac{x}{y} \frac{10}{25}, \frac{8}{20}, \frac{16}{40}[/tex].
Equivalent FractionsEquivalent fractions represent the same value even though they look different.
How to determine the Equivalent fractions?We know we can find an equivalent fraction of a given fraction by or dividing both the numerator and denominator of the given fraction with the same number (maybe LCM or HCF of the numerator or denominator).
[tex]\frac{18}{45}=\frac{18/9}{45/9}=\frac{2}{5}[/tex] (since [tex]9[/tex] is HCF of [tex]18, 45[/tex])
[tex]\frac{14}{30}=\frac{14/2}{30/2}=\frac{7}{15}[/tex] (since [tex]2[/tex] is HCF of [tex]7, 15[/tex])
[tex]\frac{10}{25} =\frac{10/5}{25/5} =\frac{2}{5}[/tex] (since [tex]5[/tex] is HCF of [tex]10, 25[/tex])
[tex]\frac{8}{20} =\frac{8/4}{20/4} =\frac{2}{5}[/tex] (since [tex]4[/tex] is HCF of [tex]8, 20[/tex])
[tex]\frac{16}{40} =\frac{16/8}{40/8} =\frac{2}{5}[/tex] (since [tex]8[/tex] is HCF of [tex]16, 40[/tex])
Thus, [tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex].
Learn more about Equivalent fractions here- https://brainly.com/question/17912
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If p+1/p - 7 then find the value of p³+1/p³
Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
I need to buy enough fencing to go all around my rectangular garden. The garden is 20m long and 5m wide. How many meters of fencing will I need?
I need explanation with answer
Thank you!
50 m
Step One: Every rectangle, opposite side are equal sides.
Area=2, the area of this rectangle is 2*(l+b).
Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:
50 meters.
I hope I've helped!
If the each side of equalaterial triangle is a cm. what is the area?
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
Divide...................
Answer:
Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25
Step-by-step explanation:
Answer:2.25
Step-by-step explanation:
hope this helps
If 3x + 6y = 7z, find x + 2y in terms of z.
Answer:
Does the answer help you?
What is the rectangular equivalence to the parametric equations?
x(θ)=2sinθ+1,y(θ)=3cosθ−2 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
Notice that
(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9
… = sin²(θ) + cos²(θ)
… = 1
Solve for y in terms of x :
(x - 1)²/4 + (y + 2)²/9 = 1
(y + 2)²/9 = 1 - (x - 1)²/4
(y + 2)² = 9 - 9/4 (x - 1)²
y + 2 = ± √(9 - 9/4 (x - 1)²)
y + 2 = ± 3/2 √(4 - (x - 1)²)
y = -2 ± 3/2 √(4 - (x - 1)²)
In order for the square root to be defined, one needs
4 - (x - 1)² ≥ 0
(x - 1)² ≤ 4
-2 ≤ x - 1 ≤ 2
-1 ≤ x ≤ 3
so x must belong to the interval [-1, 3].
PLEASE HURRY
Select the correct answer.
Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.
Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?
A.
18x + 24y ≤ 225
x + y ≥ 10
B.
24x + 18y ≥ 225
x + y ≤ 10
C.
18x + 24y ≥ 225
x + y ≤ 10
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation:
"He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation: "He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
enter the repeating digit
[tex] \frac{9}{11} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{9}{11}=0 .818181....[/tex]
__
= 0.81
1/4 (8x + 12) - 4x = -1
Answer: x = 2
Step-by-step explanation:
Given
(1/4) (8x + 12) - 4x = -1
Expand parentheses
(1/4) (8x) + (1/4) (12) - 4x = -1
2x + 3 - 4x = -1
Combine like terms
-2x + 3 = -1
Subtract 3 on both sides
-2x + 3 - 3 = -1 - 3
-2x = -4
Divide -2 on both sides
-2x / -2 = -4 / -2
x = 2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x=2
Step-by-step explanation:
Hope this helps
Work out an estimate for the value of 89.3X0.51divided by 4.8
Answer:
It is 9.5
Step-by-step explanation:
[tex] = (89.3 \times 0.51 )\div 4.8[/tex]
first solve the bracket:
[tex] = (45.543) \div 4.8 \\ = 9.488[/tex]
i am a decimal with 2 decimal places round me to the nearest tenth and I will be 7.6 What are the decimals that i might be?
Answer:
The answer is below
Step-by-step explanation:
There are multiply answers, I am pretty these are the answers
7.55
7.56
7.57
7.58
7.59
Step-by-step explanation:
The decimal can be from 7.55-7.64
When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6
Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6
And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too
please click thanks and mark brainliest if you like :)
– 18q+10q+16q–3= – 19
Answer:
q = -2
Step-by-step explanation:
-18q + 10q + 16q - 3 = -19
~Combine like terms
8q - 3 = -19
~Add 3 to both sides
8q = -16
~Divide 8 to both sides
q = -2
Best of Luck!
45 laboures can repair a road in 24 days .how many labourers should be added to repair the road in 20 days
Answer:
here's your answer .Hope you will understand it.
Answer:
9
Step-by-step explanation:
hope it will help good day.
Omar wanted to fill his bathtub. His faucet poured water at a rate of 9 liters per minute. Omar forgot to plug the drain. So 12 liters were wasted before he plugged the drain and continued to fill the tub. Suppose the tub held 150 liters of water. How long was the faucet on before the tub was filled?
Answer:
162/9 = 18 minutes
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A)
Step-by-step explanation:
Volume of a Rectangular Prism Formula: L x W x H
6 yd x 3 yd x 4 yd = 72 yd^3
An Olympic swimming pool is 25 meters long. How long is the pool in yards?
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table
Answer:
Step-by-step explanation:
B) data summary its in the words it sums up the answers to all the data you've collected over timew
Help with this please!!!
Answer:
Sometimes true.
Step-by-step explanation:
If I is not the midpoint of HJ, then it may lie any where on the line HJ and may not lie on HJ.
So, sometime i.e when I lies on HJ, H , I and J are collinear
3.
Find the inverse of A if it has one, or state that the inverse does not exist.
I can only give you the answer
Answer:
Hello,
Answer A
Step-by-step explanation:
See jointed file: Methode du compagnon
A runner jogged 4 miles in ten laps around a circular
track. What is the greatest distance straight across
the track?
Answer:
.1273 mi = 627.2 feet
c = 2[tex]\pi[/tex]r
.4 = 2[tex]\pi[/tex]r
r = [tex]\frac{.4}{2\pi }[/tex]
r = [tex]\frac{.2}{\pi }[/tex]
d = [tex]\frac{.4}{\pi }[/tex]
d = .1273 mi = 627.2 feet
Step-by-step explanation:
10. A recipe for punch calls for 2 cups of fruit concentrate
and 6 cups of water.
How many cups of punch will the recipe make?
150°
2x + 100°
X =
degrees
Answer:
x = 25°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
2x + 100 = 150 ( subtract 100 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25°
Answer: x = 25°
Step-by-step explanation:
⇒2x + 100 = 150
⇒2x = 150-100
⇒x = 50/2
⇒x = 25
Reason (VOA) vertically opposite angles are equal.
please click thanks and mark brainliest if you like :)
Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.
Answer:
y=x-7
Step-by-step explanation:
Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7
hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!
Answer:
[tex](x+6)(x-6)[/tex]
Step-by-step explanation:
Hi there!
The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].
We're given:
[tex]x^2-36[/tex]
This can be rewritten since 36 is a perfect square:
[tex]=x^2-6^2[/tex]
Use the difference of squares theorem:
[tex]=(x+6)(x-6)[/tex]
I hope this helps!
Answer:
(x-6)(x+6)
Step-by-step explanation:
x^2 -36
Rewriting
x^2 - 6^2
We know a^2 - b^2 = (a-b)(a+b)
(x-6)(x+6)
At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F.
At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?
Answer:
The evening temperature is 4° F
Step-by-step explanation:
6° F below 0 = -6.
15° F. -6 + 15 is 9.
9° F. 5° F. 9 - 5 = 4
find the domain and range in the following condition.
a.R={(X,y):y=2x-3},range={3,5,9}
b.R={(X,y):y=4x+1}, domain={0,1,2}
Answer:
domain : {3,4,6}
range: {1,5,9}
Please help explanation if possible
Answer:
y = 3x+6
Step-by-step explanation:
refer to the picture
Answer:
y = 3x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, so slope of parallel line is 3
Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)
y - 9 = 3(x - 1)
y - 9 = 3x - 3 ( add 9 to both sides )
y = 3x + 6 ← in slope- intercept form
Where is the blue dot on the number line?
年十
?
7.5
____
Answer:
The blue dot is located at -3
Can someone help me please!
Answer:
[tex] \sqrt{ - 147} = \sqrt{147} \times \sqrt{ - 1} = 7i \sqrt{3} [/tex]
I hope I helped you ^_^
The answer ; √ –108 = √108 × √–1 = 6i √3
Plssss help me with this question!!!!
[tex]\\ \sf\longmapsto x+14+x=32[/tex]
[tex]\\ \sf\longmapsto 2x+14=32[/tex]
[tex]\\ \sf\longmapsto 2x=32-14[/tex]
[tex]\\ \sf\longmapsto 2x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
