Answers
Answer:
To multiply mixed numbers:
Step-by-step explanation:
1. convert to improper fractions
2. top * top
3. bottom * bottom
4. convert back into a mixed number
Answer:
Hi!
In these questions you're being asked to multiply mixed numbers. The easiest way to do this is to convert the mixed numbers to improper fractions, and then multiply them in that form.
For the first question:
[tex]1\frac{3}{5} = \frac{8}{5} ; 1\frac{2}{5} =\frac{7}{5} \\[/tex] To convert the mixed numbers to improper fractions, you just multiply the denominator by the whole number, and then add it to the current numerator, forming the new numerator. The denominator stays the same.
[tex]\frac{8}{5} *\frac{7}{5} = \frac{56}{25}[/tex] Next, multiply together the numerators, and then multiply together the denominators.
[tex]\frac{56}{25} = 2\frac{6}{25}[/tex]
Related Questions
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
Answers
Answer:
Step-by-step explanation:
A store pays $122 for a tennis racquet. If the store marks the tennis racquet up 30%, how much are they selling the racquet for?
Answers
Answer:
$158.60 for the racquet
22.35 written form using proper words
Answers
twenty-two and thirty-five hundredths
The Valdez family bought a Blu-ray player on sale. The original price was $120. They received a 12% discount. How much did the Valdez family pay for the Blu-ray player after the discount?
Answers
Answer:
$105.60
Step-by-step explanation:
I think...
For the function h (2) = 9+ 6x , what is the domain of function h if the range is
{-12, -3, 15, 24}?
Answers
Answer:
x = 1/6 (h(2) - 9), h(2) element R
What value of x is in the solution set of 8x-6 > 12 + 2x?
3
5
Answers
7. Identify the reason for each step in the solution.
-
3(x+2) = 2x+3
3x + 6 = 2x + 3
3x + 6 - 2x = 2x +3 - 2x
X+6 = 3
X+6 - 6 = 3-6
x = -3
Answers
Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.
Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:
Distributive Property
The first step applies the Distributive Property,
which states that multiplying a number outside the parentheses by the terms inside the parentheses.
Here, we multiply 3 by (x+2),
3(x+2)
= 3 × x + 3 ×2
= 3x + 6
Combining Like Terms
In the second step, combine like terms on both sides of the equation.
On the left side, we have 3x, and on the right side, we have 2x.
We also have constants 6 on the left side and 3 on the right side.
3x + 6 = 2x + 3
Move Variables to One Side
To solve for 'x', we want all the terms with 'x' on one side of the equation.
Here, move the term with 2x to the left side by subtracting 2x from both sides of the equation:
3x + 6 - 2x = 2x + 3 - 2x
Simplify
On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:
x + 6 = 3
Move Constants to the Other Side
To isolate 'x', we need to get rid of the constant term on the left side.
Subtracting 6 from both sides of the equation:
x + 6 - 6 = 3 - 6
Simplify
On the left side, the +6 and -6 cancel out, leaving us with:
x = -3
Final Solution
After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.
This means that if we replace 'x' with -3 in the equation, it will hold true:
3(-3 + 2) = 2(-3) + 3
-3 = -6 + 3
-3 = -3
And that's why the solution to the equation is x = -3.
Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3
learn more about simplification here
brainly.com/question/2804192
#SPJ2
Write an expression for the perimeter of the rectangle. Make sure you expression is as simple as possible. 5x+9 , 3x+12
Answers
Answer:
6x+42
Step-by-step explanation:
So by, "5x+9 , 3x+12" I'm assuming you mean the length and the width.
The perimeter of a rectangle is 2(l+w), so if you put the values in, you get...
2(5x+9+3x+12)
2(8x+21)
6x+42, which is your answer.
Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?
Answers
Answer:
at 5 hours he will have traveled 400 mi
Step-by-step explanation:
320÷4= 80
320=4, then 400=5
hope this helps
Please include an explanation.
"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.
Answers
Answer:
a = 730.43
Step-by-step explanation:
The formula for this type of problem is [ a = kb²/c³ ].
We are given a = 171, b = 8 and c = 9.
Solve for k.
171 = k(8)²/(9)³
k = 1947.80
Solve for a since we found k using b = 9 and c = 6.
a = (1947.80)(9)²/6³
a = 730.425
Round to the nearest hundredth.
730.425 → 730.43
Best of Luck!
Answer:
730.42
Step-by-step explanation:
a varies directly with the square of b, and inversely with the cube of c. Therefore:
a = k b² / c³
where k is the constant of proportionality.
a = 171 when b = 8 and c = 9. So the value of k is:
171 = k (8)² / (9)³
k ≈ 1947.8
So the value of a when b = 9 and c = 6 is:
a = 1947.8 (9)² / (6)³
a ≈ 730.42
Which of the following fraction is an equivalent fraction for 2/7?
1. 8/11
2. 10/28
3. 6/21
4. 4/7
Answers
Answer:
6/21
Step-by-step explanation:
6/21 can be divided by 3 to equal 2/7
Answer:
the answer is c 6/21
Step-by-step explanation:
can i please have brainiest
what is the value of x^2+4 for x=5
Answers
Answer:
25+4=29
thats your answer
PLEASE MARK AS THE BRAINLIEST
Answer:
29
Step-by-step explanation:
x^2+4
Let x= 5
5^2 +4
25+4
29
A primatologist believes that rhesus monkeys possess curiosity. She reasons that, if this is true, then they should prefer novel stimulation to repetitive stimulation. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed. After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows:What is the alternative hypothesis? In this case, assume a nondirectional hypothesis is appropriate because there is insufficient empirical basis to warrant a directional hypothesis. What is the null hypothesis? Using ? = 0.052 tail, what is your conclusion? What error might you be making by your conclusion in part c?
Subject Bar 1 Bar 2
1 20 40
2 18 25
3 24 38
4 14 27
5 5 31
6 26 21
7 15 32
8 29 38
9 15 25
10 9 18
Answers
Answer:
It is statistically significant that mean of difference scores is different from 0
Step-by-step explanation:
Subject Bar 1 Bar 2 Difference
1 20 40 20
2 18 25 7
3 24 38 14
4 14 27 13
5 5 31 29
6 26 21 -5
7 15 32 17
8 29 38 9
9 15 25 10
10 9 18 9
Mean of difference =[tex]\frac{Sum}{10}=\frac{123}{10}=12.3[/tex]
Standard deviation s =[tex]\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93[/tex]
Null Hypothesis : mean of difference scores is 0 : [tex]H_0:\mu=0[/tex]
Alternate Hypothesis : mean of difference scores is different from 0 : [tex]H_a:\mu \neq 0[/tex]
We will use t test for unpaired
[tex]t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13[/tex]
Level of significance (two tailed) =[tex]\alpha = 0.05[/tex]
Degree of freedom = n-1 = 10-1 =9
Using calculator
The p-value is .002559.
p value < α
So ,we reject null hypothesis
So, It is statistically significant that mean of difference scores is different from 0
WHAT IS 6 MULTIPLIED 6 + 2 +1
Answers
Answer: 108? I think haha-
Answer:
39
Step-by-step explanation:
6x6 is 36, and plus 3 it equals 38.
Add one.
39.
Complete the table.
x=0 and 4
y=1/3x+2
Answers
Answer:
sorry man but I don't understand what we have to complete, is it x? and if x is what we have to find, what does the and 4 mean? if you can upload a photo it would be better.
Step-by-step explanation:
wish you luck
3 plus 2 =
wzsxdcfgvbhjnkrdfvgbh
Answers
Answer:
5
Step-by-step explanation:
three plus two equals 5
Answer:
5
Step-by-step explanation:
3+2=5
:3
I will mark u as brainlest if you help me lots of points the one I choose was probably not right it was just right there
Answers
Answer:
2/5
Step-by-step explanation:
Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.
Answer:
[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]
Simplify
(6 + 4i) + (8 - 91) + (-2 + i)
Answers
Answer:
-79 + 5 i
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(6+4i)+(8-9i)+(-2+i)
6+4i+8-9i-2+i
6+8-2+4i-9i+i
12-4i
What is the solution for this inequality?
8x<-32
Answers
Answer:
8x<-32
x<4
Step-by-step explanation:
divide both of these numbers by 8
Step-by-step explanation:
rhrufh38299917489xjqgs8cjrnjci
If you do this question I will give you brainlest I know the right Awnser just want to test you help me out and I’ll give you brainlest and points
Answers
3% Although I'm probably wrong.
Answer:
13 - 10 = 33 & 13The proportion, x = 23.Step-by-step explanation:
13 (i.e 100%) - 10 (i.e 77%) = 3 (i.e 23%)difference is 3 & original amount is 13The proportion, x = 23%Which expression is equivalent to (fa)(5)?
Answers
Answer:
ylyiky lio
Step-by-step explanation:
y - 5 = 1/10 (x – 10)
How do you rewrite the equation in slope-intercept form?
Answers
ignore the top equation
Answer.
Y=|10x-100|+5
Conversion Formulas
K = Cº + 273
Answers
If (4,-9) is rotated 270° about the origin the new point would be :
A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)
Answers
Write in slope intercept form:
(-4,6) slope= -3/4
Answers
Answer:
y=-3/4x+0
Step-by-step explanation:
The ratio black to blue bags is 5 to3 if there is 10 black bags how many blue bags?
Answers
Answer: 6
Step-by-step explanation:
what is the gcf of x5 and x7
Answers
Answer:
Step-by-step explanation:
the gcf of that is X
The local garden store sells bags of mulch for $4.98 each and will deliver the bags for a fee of $15 if Amber purchases 15 bags and has them delivered what is the total amount that Amber will pay?
Answers
Answer:
$89.70
Step-by-step explanation:
To solve this equation, let's formulate a linear equation.
Let [tex]b[/tex] equal bags of mulch.
Let [tex]t[/tex] equal the total amount.
We know the price of each bag of mulch ($4.98), so we can represent this as:
[tex]4.98b[/tex]
We also know that there's a fee of $15, so we can just represent this as:
[tex]15[/tex]
Let's put these values into an equation:
[tex]t=4.98b+15[/tex]
Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:
[tex]t=4.98(15)+15[/tex]
Multiply:
[tex]t=74.70+15[/tex]
Add:
[tex]t=89.70[/tex]
_
Check your work by substituting the total amount into the initial equation:
[tex]89.70=4.98b+15[/tex]
Subtract [tex]15[/tex] from both sides of the equation:
[tex]74.70=4.98b[/tex]
Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:
[tex]15=b[/tex]
Amber did in fact purchase 15 bags, so we know our total amount is correct!
−|9| = −9 True or False
Answers
Answer:
false
Step-by-step explanation:
Answer:
false because the absolute value of -9 would be 9 not negativ 9
A line with a slope of -10 passes through the point (1,-10) what is it equation in slope intercept form?
Answers
Answer:
y=-10x
Step-by-step explanation:
m=-10
For (1,-10) a=1 AND b=-10
(use the formula y-b=m(x-a) to find the equation of the line)
y-b=m(x-a)
(sub the values of m (the slope) and a&b (from the point)
y - (-10) = (-10) × ( x - 1 )
(simplify)
y+10=-10(x-1)
(expand the bracket)
y+10=-10x+10
(subtract 10 for both sides)
y=-10x+10-10
(simplify)
y=-10x