Answers
Answer: 100 99/100
Step-by-step explanation: add the 1/2 and 1/5 together by finding a common denominator(10). 1/2 would become 5/10 and 1/5 would become 2/10. 2/10 + 5/10 =7/10. now we're left with (7/10)^2 +3/10 x 5
to do (7/10)^2 you square the top and bottom to give you 49/100.
next we'll do 3/10 x 5 which would equal 15/10. so now all we have left to do is add 49/100 and 15/10. to do this we'll find a common denominator of 100. so well multiply the top and bottom by 10 to give you 150/100.
finally, 49/100 + 150/100 = 199/100 or as a mixed number, 100 99/100
Answer:
1[tex]\frac{99}{100}[/tex]
Step-by-step explanation:
I would start by turning the parentheses fractions into one fraction.
You could do binomial multiplication and get [tex]a^{2} +2ab+b^{2}[/tex] but it might take longer.
So I would just turn them into one fraction by finding the common denominator.
The common denominator here is 10
[tex]\frac{1}{5} (\frac{2}{2} )=\frac{2}{10}[/tex]
[tex]\frac{1}{2} (\frac{5}{5} )=\frac{5}{10}[/tex]
Now add
[tex]\frac{2}{10} +\frac{5}{10} =\frac{7}{10}[/tex]
Now apply: [tex](\frac{a}{b} )^{2} =\frac{a^{2} }{b^{2} }[/tex]
[tex](\frac{7}{10} )^{2} =\frac{7^{2} }{10^{2} } =\frac{49}{100}[/tex]
Now, multiplying the other fraction we get [tex]\frac{3}{10} (5)=\frac{15}{10}[/tex]
Now turn this into a fraction with denominator 100 to add the two fractions
[tex]\frac{15}{10} (\frac{10}{10} )=\frac{150}{100}[/tex]
[tex]\frac{49}{100} +\frac{150}{100} =\frac{199}{100} =1\frac{99}{100}[/tex]
There is also another method to add or subtract fractions without multiplying to get a common denominator in case you are interested:
[tex]\frac{a}{b}[/tex]±[tex]\frac{c}{d}[/tex]=[tex]\frac{ad+bc}{bd}[/tex]
Related Questions
A moving van leaves a house traveling at an average rate of 35 mph. The family leaves the
house three-quarters of an hour later following the same route in the car, traveling at an
average rate of 50 mph. How long will it take the car to catch up with the moving van?
Answers
Answer:
31.5 minutes
Step-by-step explanation:
45x35=1575
1575/50=31.5
Use the equation below to find F, if =m5 and =a19.
=Fma
=F
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F = (5)(19)
F = 95
Multiply or divide as indicated. [tex]\frac{4x+12}{10} / \frac{2x+6}{6}[/tex]
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Answer:
45
Step-by-step explanation:
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Answer:
3
Step-by-step explan4ation:
Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Answers
Answer:
a = a
b = b
c = c
Step-by-step explanation:
Formula: [tex]a^2+b^2=c^2[/tex]
C is always the largest number
a times a + b times b = c times c
Divide: (1.2 x 10⁷) / (3.0 x 10⁵)
Multiply: (1.5 x 10⁴) x (3.0 x 10⁶)
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Answer:
divide: 40
multiply:4.5x10^10
Step-by-step explanation:
Easy points.
Type one word to describe how you feel about your effort in Math
Answers
Answer:
boring
Step-by-step explanation:
Answer:
I feel great that is why I feel like helping others. :)
Step-by-step explanation:
What's The Answer To This?
Answers
Answer:
The answer would be:
c. [tex]2\sqrt{2}[/tex]
Find the difference.
-8 - 20
Answers
Answer:
-8 -20 or - 8 - 20
correct me if I'm wrong
Answer: -28
Step-by-step explanation: the word "difference" in math means subtraction. so -8-20 is -28
Math expert please provide the product in standard form
Answers
The length of a rectangle is 4ft longer than it’s width. If the perimeter of the rectangle is 68ft, find it’s length and width.
Answers
Answer:
Represent the length and width by L and W. Then L = W + 4.
Using the perimeter formula: P = 2L + 2W = 68 ft = 2W) + 2(W+4).
Solve for W: 68 = 2W + 2W + 8, or 4W = 60. Thus, W = 15 and L = 19.
The dimensions of the rectangle are 15 by 19 feet.
Hope this helps you
what is the slope of a line that passes through (-3,-3) (-5-2)
Answers
Answer:
- 1/2Step-by-step explanation:
Given points:
(-3,-3) and (-5-2)Use slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)=(-2-(-3))/(-5-(-3))=1/-2=-1/2[/tex][tex]\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-2+3}{-5+3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1}{-2}[/tex]
FINAL ROUND!! Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help)
Answers
Answer:
a is less than or equal to 7
Step-by-step explanation:
This is the case because we can treat the less than or equal to sign as an equal sign. The only time it changes is when we divide by a negative, but we do not do that in this problem. First, you subtract 7 from both sides. That leaves us with a 4a on one side and a 28 on the other. Then, you divide both sides by four to get a is less than or equal to 7. I hope this helps!
Graph y=-4/7x+1. 10 points
Answers
Answer:
Step-by-step explanation:
Slope= - 4/7
y-intercept: 1
The slope is negative. 4 down from y=1 and seven to the right and 4 up from y=1 and 7 to the left. You only need two points to trace a line.
Who can solve these three ??
Answers
2. Y=16
3. Y= -1
Answer:
1) x = 9
2) y = 16
3) y = -1
Step-by-step explanation:
Do PEMDAS in reverse.
For every equation, your goal is to seperate the variable (x,y, or whatever letter) by itself.
1) 2x-7 = 11
Add 7 to both sides.
2x = 18
Divide both sides by 2.
x = 9
2) [tex]\frac{3}{4}y = 12[/tex]
Divide both sides by 3/4 (which turns into multiplying by 4/3).
Left side
[tex]\frac{3}{4}x * \frac{4}{3}\\\\\frac{3}{4}x * \frac{4}{3} = \frac{3*4}{4*3}x\\1x\\x[/tex]
Right side
[tex]12*\frac{4}{3}\\\\\frac{12}{1} *\frac{4}{3}\\\\ \frac{12}{1} *\frac{4}{3} = \frac{12*4}{1*3}\\\\\frac{48}{3} \\16[/tex]
3) 9(y+3) = 18
Remember do PEMDAS in reverse.
Divide both sides by 9.
y+3 = 2
Subtract both sides by 3.
y = -1
What is the value of the expression 2 to the third power plus 3 over 5 times 5 over 9 minus 4 plus 3.?
Answers
Heather cut 2 feet of tape. How much is this in inches?
Use the table below. Include the correct unit in your answer.
Unit Symbol Fact
Length inch in
foot ft
1ft = 12in
yard yd
1yd = 3ft
Answers
Answer: 24 inches.
Step-by-step explanation: since theres 12 inches in a foot, and 2 feet altogether, you would multiply 12x2.
HELP PLEASE!!!!!!!!!!!!
Answers
Then:
m< 1 + m < 38° = 180°
m < 1 = 180° — m < 38°
m < 1 = 142°
Since m < 1 = m < 3, then m < 3 = 142°
What is 223*445=
What is 2+2
Answers
Answer:
99235
4
Explanation: Addition, and Multiplication
Rewrite y - 3 = -9(x - 1) in standard form.
Answers
Answer:
9x + y = 12
Step-by-step explanation:
Hi there!
We are given the equation y - 3 = -9(x-1) and we want to write it in standard form
The equation is currently in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1 , y_1)[/tex] is a point and m is the slope. Standard form is ax + by = c, where a, b, and c are free integer coefficients
We can first convert the equation from point-slope form into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We can distribute 9 to every term on the right side:
y - 3 = -9x + 9
Now add 3 to both sides
y = -9x + 12
Now the equation is in slope-intercept form (y=mx+b). To make it standard form, add 9x to both sides, to make the form ax + by = c .
9x + y = 12
Hope this helps!
is 3/4 and 10/15 proportional
Answers
Answer:
3/4 and 10/15 are not proportional
Step-by-step explanation:
3 is not a factor of 10 and 4 is not a factor of 15
Answer:
No
Step-by-step explanation:
3/4 is already simplified all the way, but 10/15 is not. 10/15 simplifies down to 2/3 (because 5x2=10 and 5x3=15), which is not equivalent to 3/4.
Which graph shows a negative correlation?
10fy
9
8
7+
6
0 5.
4
3
2+
1 +
1
23
4 5 6 7 8 9
+
X
9
8+
7+
6+
5+
Mark this and retum
Answers
The scatterplot with negative correlation is (a)
How to determine the scatterplot with negative correlationFrom the question, we have the following parameters that can be used in our computation:
The images of the scatter plots
Describing the scatterplot a
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values decreases
This represents a negative association.
Hence, the correlation is negative
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Please help me! Me don't understand!
Answers
Answer:
the answer is A
Step-by-step explanation:
Let f(x) = 3x2–5, find f(-5).
A. 70
B. 71
C. 72
D.73
Answers
[tex]f(x) = 3x2 - 5[/tex]
If x=-5Solution:[tex]f( - 5) = 3( - 5)2 - 5 \\ = 3 \times - 5 \times 2 - 5 \\ = - 30 - 5 \\ = - 35[/tex]
Solved ✔︎please help me or I'm gonna fail math
Answers
Answer:
As follows,
Step-by-step explanation:
a) Completely wrong,
Correction
x^2-7x+12
x^2-4x-3x+12
x(x-4)-3(x-4)
(x-3)(x-4)
b)Partially wrong
Correction
35x^2-5x
5x(7x-1)
Veronica is choosing between two health clubs. Studio A has membership is $23.00 and a monthly fee $24.75. Studio B has a membership fee of $53 and a monthly fee $17.25. After how many months will the total cost for each health club be same?
Answers
Answer:
5 months
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST!!!!!Subtract.
4−(−2)
Plot the solution on the number line.
Answers
Answer:
6
Step-by-step explanation:
[tex]\sf 4-(-2)=4+2=\bf{6}[/tex]
The answer is 6.
What is a number line?A visual representation of numbers on a straight line is known as a number line. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.On a number line, the numbers rise as you move from left to right and fall as you move backwards from right to left.SOLUTION-
4-(-2))4+2as (- * - = +).6plotting on number line-
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-5x-9 is greater than or equal to -4
Answers
Answer x is less than or equal to -1
Step-by-step explanation:
-5x-9 -4
-5x-9+9 -4+9
-5x 5
-5x/-5x 5/-5
x less than or equal to -1
Answer:
x [tex]\leq[/tex] -1
Step-by-step explanation:
(-5x - 9) [tex]\geq[/tex] -4
add 9 to both sides of the equation
-5x-9 [tex]\geq[/tex] -4
+9 +9
--------------------
the -9 and +9 cancel out
-5x [tex]\geq[/tex] 5
then, divide both sides by -5 to get x
-5x [tex]\geq[/tex] 5
------ -------
-5 -5
x [tex]\leq[/tex] -1
by the way, the sign changed from [tex]\geq[/tex] to [tex]\leq[/tex] because we divided by a negative number to get x.
Kaya started with the number 92. After multiplying by a power of 10, her number increased to 920,000. What power of 10 did Kaya multiply her original number by to get an answer of 920,000? Explain the reason for this solution
Answers
The new number has 4 zeros so the power was 4
Answer: 4
Answer:
4
Step-by-step explanation:
kaya started with 92
then multiplied it by
[tex]10 ^{x} [/tex]
[tex]92 \times {10}^{x} [/tex]
[tex]92 \times {10}^{x} = 920000[/tex]
divide both sides by the coefficient of
[tex] {10}^{x} [/tex]
[tex] {10}^{x} = \frac{920000}{92} [/tex]
[tex] {10}^{x} = 10000[/tex]
[tex] {10}^{x} = {10}^{4} [/tex]
since they both have the same numbers we can cancel the two 10
therefore:
x = 4
NUMBER 3!!!!!!!!!!!!!!!!!
Answers
Answer:
if 1 equal to x
and 2 equal to x-4
that mean
(x)+(x-4)=180
2x-4=180
2x=184
x=92
lets start to find the angles that marked with numbers
1=92
2=88
3=88
4=92
5=92
6=88
7=88
8=92
that's it
Have a great day