Mathematics Middle School
Answers
Answer 1
Answer:
>
Step-by-step explanation:
2/3 = 0.666666...
50% = 0.5
0.6666...>0.5
Therefore, 2/3>50%
Related Questions
in a class of 45 students, 25 students failed Maths, 20 students failed Physics, and students failed both . A student is selected at random.
Answers
Answer:
What is the question?
Step-by-step explanation:
2 2/4+1 1/2 is equal to what
Answers
Answer:
16/4
Step-by-step explanation:
Step 1: Convert to improper fractions
2 2/4 = 2 * 4/4 + 2/4 = 8/4 + 2/4 = 10/4
1 1/2 = 1 * 2/2 + 1/2 = 2/2 + 1/2 = 3/2
Step 2: Make common denominator
10/4 is ok
3/2 * 2/2 = 6/4
Step 3: Combine
10/4 + 6/4
16/4
Answer: 16/4
5. Bob the Burrito is tumbling down a mountain, If Bob is going 20 m/s for 45 seconds does Bob tumble?
Answers
Answer: 0.444444444 m / s2
Step-by-step explanation: All you have to do is divide 20 m/s by 45 seconds and you get the answer.
Hope this helps!
I am joyous to assist anytime! (-:
~Jarvis
Calculate 7 1/4% tax on 1540
Answers
So here is how we calculate this. 7 and 1/4, when converted to percent, it would be 7.25. So in order for us to know that 7 and 1/4 tax on $1,540, we just have to multiply 7.25 by 1,540. So here is the answer. $111.65. Hope this answers your question. Have a great day!
Answer: $111.65
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Answer:
111.65
Step-by-step explanation:
1540*0.0725
A 3-gallon bottle of vinegar costs $26.40. What is the price per cup?
$______
Hint: Find out how many cups are in a gallon!
Answers
Answer:
0.55
Step-by-step explanation:
There are 16 cups total in 1 gallon.
Multiply both 16 and 1 by 3.
Your answer so far should be 48 cups and 3 gallons.
Divide $26.40 by 48.
Final answer, $0.55 per cup.
Y=2x+3
y=3x+1
solve the system of equations using substitution
Answers
Answer:
(2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
y = 3x + 1 → (2)
Substitute y = 3x + 1 into (1)
3x + 1 = 2x + 3 ( subtract 2x from both sides )
x + 1 = 3 ( subtract 1 from both sides )
x = 2
Substitute x = 2 into either of the 2 equations for corresponding value of y
Substituting x = 2 into (1)
y = 2(2) + 3 = 4 + 3 = 7
Solution is (2, 7 )
Answer:
x= 2 and y= 7
Step-by-step explanation:
Substitution method involves getting value of one variable from one equation in terms of other variable and putting this in second equation to eliminate and find value of other variable.
Here we have
y=2x + 3
in first equation and putting this in second equation, we get
2x + 3 = 3x + 1 or
2x - 3x = 1 -3 or
-x = -2
i.e.
x = 2
Putting this Vale of x back in first equation, we get
y = 2 × 2 + 3 = 7
Hence we get x = 2 and y = 7.
what is an equation of the line that s perpendicullar to y-3=-4(x+2) and passes through the point (-5,7)
Answers
Answer:
4y=x+33
y=x/4+33/4 (slope-intercept form)
Step-by-step explanation:
y-3 = -4(x+2)
y-3 -4x-8
y= -4x-8+3
y= -4x-5
m1 = -4
For perpendicularity
m2= -1/-4 = 1/4
The equation is
y-y1 = m2(x-x1)
y-7 = 1/4(x-(-5))
y-7 = x/4+5/4
Multiply through by 4
4y-28=x+5
4y=x+5+28
4y=x+33
Divide through by 4
y=x/4+33/4 (slope-intercept form)
1/3(24x - 54) = 11(x-4)+5
Answers
Answer:
x = -7
Step-by-step explanation:
Step 1: Distribute
1/3(24x - 54) = 11(x - 4) + 5
8x - 18 = 11x - 44 + 5
Step 2: Solve for x
8x - 18 = 11x - 44 + 5
8x - 18 - 11x + 18 = 11x - 39 - 11x + 18
-3x / 3 = -21 / 3
x = -7
Answer: x = -7
Andrea is learning how to jump rope. She made 14 jumps the first day, 21 jumps the second day, and 28 jumps on the third day. If this pattern continues, how many jumps will she be making on the nineteenth day?
Answers
Answer:
on the 9th day you would have jumped 77
Step-by-step explanation:
14+7=21, 21+7=28, 28+7=35, 35+7=42, 42+7=49, 49+7=56, 56+7=63, 63+7=70, 70+7=77.
How does the producto of 4×8 help solve 40×8
Answers
Answer:
If you know what 4 times 8 is (32), all you will need to do is add a zero at the end of the problem to figure out what 40 times 8 is (320)
Step-by-step explanation:
6. Carolyn the cheetah covered 300 meters in 9 seconds. How fast was Carolyn running on
average?
Answers
Answer:
33.3334 Meters per second
Step-by-step explanation:
Divide 300 by 9 to know how many meters she ran per second
Answer:
Her average is 33
300 / 9 = 33.3333 also 33
Simon has a certain length of fencing to enclose a rectangular area the function a models the rectangles area in square meters as a function of its width in meters
Answers
Answer:
The maximum area is 1,600 square meters
Step-by-step explanation:
The complete question is
What is the maximum area possible?
The given function area is modeled by A(w)=-w(w-80)
we know that
The given function is a vertical parabola open downward
The vertex is a maximum
The x-coordinate of the vertex represent the width for the maximum area
The y-coordinate of the vertex represent the maximum area
Convert the quadratic function in vertex form
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Solve the following formula for x
y= 8mx + 5b
Answers
Answer:
Solve the following formula for x
y= 8mx + 5b
answer is
x= y-5b/8m
Step-by-step explanation:
from the equation y= 8mx + 5b
to solve for x
we have ; y - 5b = 8mx
divide both sides by 8m
y - 5b/ 8m = x
Increase 60 by 10% what is the new number?
Answers
Answer:
66
Step-by-step explanation:
60*1.1=66
Answer:
The answer is 66
Step-by-step explanation:
60 × 10
- - - = 6
100
60 + 6 = 66
Bishon needs to sell at least 0.3 of his collection of sports cards to make room for new cards. Is 0.15 of his collection enough? Explain
Answers
Answer:
No; he will need to sell and additional .15 of his collection
Step-by-step explanation:
.15 is half of .3 so it can't be enough of his collection
Part A: Max rented a motorbike at $225 for 2 days. If he rents the same bike for 5 days, he has to pay a total rent of $480. Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (8 points)
Part B: Write the equation obtained in Part A using function notation.(2 points)
Answers
Answer:
Part A: 85x+55=y
Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?
Answers
Answer:
32000 tonnes
Step-by-step explanation:
Given there was a 20% reduction last year from a total of 40000 tonnes .
20% /100% x 40000
0.2 x 40000
8000tonnes
Therefore, previous year’s excerpt = 40000 - 8000
32000tonnes
Is 5 3/4 greater than 5
Answers
Answer:
Yes
Step-by-step explanation:
Answer:
5 3/4 > 5
Showing Work
Using the given inputs:
5 3/45
Rewriting these inputs as fractions:
5 3/45
23/45/1
The least common denominator (LCD) is: 4.
Rewriting as equivalent fractions with the LCD:
5 3/45
23/420/4
Comparing the numerators of the equivalent fractions we have:
5 3/4 5
23/4>20/4
Therefore, comparison shows:
5 3/4 > 5
If a ladder is 5.5 m long and it is placed 3 m from the wall, solve and show the work when you use the Pythagorean Theorem to find how far up the wall the ladder will reach.
Answers
Answer:
4.609 meters
Step-by-step explanation:
The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths
A^2 + B^2 = C^2
3^2 + B^2 = 5.5^2
9 + B^2 = 30.25
30.25 - 9= B^2
21.25= B^2
4.609=B
A farmer increased his number of animals by 25 %. He now has 240 animals.
How many animals had he at first?
Answers
Answer:
192
Step-by-step explanation:
Let the original number of animals be 'x'
% increment= 25%
Increment= 25x/100=0.25x
New number of animals= x+ 0.25x
240= 1.25x
x= 192
Answer:
180 animals
Step-by-step explanation:
The number of animals increased by 25%
The farmer now has 240 animals.
25% /100% x 240
0.25 x 240
60 .
This means 25% increase added 60 animals to his farm.
Therefore, animals he had at first will be
240 - 60
180
He had 180 animals before the 25% increase