Answer:
The option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct
Step-by-step explanation:
Given equation is [tex]\frac{1}{3}(33-y)=135.2[/tex]
The option shows correct usage of distributive property is
[tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex]
( by distributive property [tex]a(x+y)=ax+ay [/tex] here [tex]a=\frac{1}{3}[/tex], x=33 and y=-y )
Therefore the option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct.
The correct use of the Distributive Property for the equation 1/3(33 - y) = 135.2 is to apply multiplication to each term inside the parentheses by 1/3, resulting in (1/3 * 33) - (1/3)y = 135.2.
The question is asking for the correct use of the Distributive Property when solving the equation 1/3(33 - y) = 135.2.
The correct application of the Distributive Property to solve the equation would involve multiplying both terms inside the parentheses by 1/3. Here's how the property is correctly applied:
(1/3 * 33) - (1/3 * y) = 135.2
(33/3) - (1/3)y = 135.2
11 - (1/3)y = 135.2
Hence, the correct option that uses the Distributive Property properly is:
(1/3 * 33) - (1/3)y = 135.2
91.8% of 648 toy robots on an assembly line will be approved by the quality control inspector. Write and
solve a proportion to find how many robots will be approved.
Answer:
595 will be approved.
Step-by-step explanation:
Multiply 648 by 0.918: the result is 594.9, which should be rounded up to 595.
which expression is equivalent to x2 • x3?
Answer:
the answer is x^5
Step-by-step explanation:
add the exponents
The required expression equal to x².x³ is [tex]x^5[/tex].
Given that,
To determine the expression is equivalent to x².x³
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression,
= x².x³
There is a property in the product if the base of the exponents is the same then their power gets added.
So, the simplification
= [tex]x^{2+3}[/tex]
= [tex]x^5[/tex]
Thus, the required expression equal to x².x³ is [tex]x^5[/tex].
Learn more about arithmetic here:
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#SPJ2
452 multiplied by 36
Answer:
16272
Step-by-step explanation:
Answer:
16272
Step-by-step explanation:
the answer would be 16272.
and if u need help with anything else you can easily use me :) jkjk use a calculator
James is considering buying a home priced at $104,000. If the current market
is a buyer's market, which of the following is most likely not the price James
will end up paying for the house?
A. $100,000
B. $106,000
C. $102,000
D. $103,000
Answer:
B. $106,000
Step-by-step explanation:
Summer exercises for 0.5 hour on Monday Wednesday and Friday each week. How many hours will she exercise in four weeks
Answer:
She will exercise for 6 hours in four weeks.
Step-by-step explanation:
Summer exercises for 0.5 hour on Monday, 0.5 hour on Wednesday, and 0.5 hour on Friday. There are 3 days where she exercises for 0.5 hour.
3 days X 0.5h = 1.5h each week
For four weeks, multiply the hours each week by 4.
1.5h X 4 weeks = 6h
Therefore Summer will exercise for 6 hours over the course of 4 weeks.
Answer:
6 hours
Step-by-step explanation:
We know that Summer exercises for 0.5 (Or a half) hour every day, three days a week (Monday, Wednesday, Friday). We need to found out how many hours she exercises in 4 weeks.
To solve this we first find out how many hours she exercises in one week. To do so, we set up an equation like this:
(Time exercising) x (# of days exercising) = (Hours spent exercising in one week)
Plug in the given numbers:
0.5 x 3 = 1.5 hours
If we know she exercises 1.5 (Or one and a half) hours in 1 week, we multiply this number by 4 to find out how many hours she exercises in 4 weeks. This can be shown in an equation like this:
1.5 x 4 = 6
So Summer will exercise for 6 hours in 4 weeks.
Matt earned $28,500 last year. He paid $8,265 for rent. What percent of his earnings did Matt pay for rent ?
Answer: 29%
Step-by-step explanation:
You need to divide the rent, 8265, by the amount of money he earns.
8265/28500 is .29
Multiply that by 100 to get it in percent form
What is the greatest common factor of 24y and (4y^2+12y)
The equation of a straight line is y+10=5x
Answer:
y=5x-10
Step-by-step explanation:
y+10=5x
y=5x-10
What is the area of the figure?
Answer:
you have to multiply to get the answer because it's an area not premiter. premiter you at all at once
Answer:
Total area= [tex]28 +25.12= 53.12[/tex] square feet
Step-by-step explanation:
The total area of the 2-D figure= Area of triangle in the fig. + Area of the semicircle in it.
Area of the triangle in the figure [tex]=\frac{1}{2}*Base*Altitude \\\\=\frac{1}{2}*8*7\\\\ =\frac{56}{2} \\\\=28[/tex] square feet
Area of the semicircle=
[tex]\frac{\pi r^2}{2} \\\\\frac{3.14*4*4}{2}\\\\ 3.14*8\\\\25.12square feet[/tex]
Total area= [tex]28 +25.12= 53.12[/tex] square feet
If 2d÷4=5, does 2d÷4+6=5+4
Answer:
3/2d
Step-by-step explanation:
ad 5 and 4 then subtracts 6 from both sides then divide 2 from 3 and get 3/2
(15x+29)=(26x-4) whats value of x
Write an equation for h.
Answer:
h = 96/8
Step-by-step explanation:
In this image, we're being shown a rectangle. To solve for a rectangle, you use:
Area = base x height
We know the base and area already, so we can plug those values in. It will then look like this:
96 ft = 8ft x height
In order to make it into "h = _____" we need to isolate the height. We can use inverse operation for that. We can divide 8 on both sides. This will then give us the equation:
h = 96/8
Hence, the answer to this is "h = 96/8". If you have any further concerns or questions, feel free to leave a comment below! Have a great day!!! :)
There were 30 students enrolled in the school chess club in the fall and 24 students enrolled in the spring whats the percent decrease in the number of students enrolled in the chess club?
Answer:
20%
Step-by-step explanation:
30-24=6
6/30=.2=20%
Answer:
Decrease by 6
Step-by-step explanation:
20%
If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?
Answer:
[tex](ab)(x)[/tex]
Step-by-step explanation:
The complete question in the attached figure
we have
[tex]a(x)=2x-4\\b(x)=x+2[/tex]
we know that
(ab)(x) is equal to the product of a(x) and b(x)
so
[tex](ab)(x)=(2x-4)(x+2)[/tex]
Applying distributive property
[tex](ab)(x)=2x(x)+2x(2)-4(x)-4(2)[/tex]
[tex](ab)(x)=2x^2+4x-4x-8[/tex]
[tex](ab)(x)=2x^2-8[/tex]
This is a quadratic equation
The other expressions not produce a quadratic equation
will the account balance be aller 17 years!
3) Ashley invests $4,650 in a savings
account with a fixed annual interest rate of
9% compounded 12 times per year. What
will the account balance be after 12 years?
Answer:
Account balance after 17 years: $21,352.27
Step-by-step explanation:
Use the formula for amount after compound interest.
A = P(1+i)ⁿ
What the variables mean:
"A" is for amount after the time period.
"P" is principal, meaning starting money.
"i" is the interest per compounding period.
"n" is the total number of compounding periods.
"c" is the compounding periods each year. (annual = 1; monthly = 12, etc)
To calculate "i":
i = r/c
"r" is the annual interest rate in decimal form.
To calculate "n":
n = t*c
"t" is the time, usually the number of years.
Now can combine these formulas:
[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]
What do we know from the problem?
t = 17 years
P = 4650
r = 9% = 0.09
c = 12
Substitute them into the formula.
[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]
[tex]A = 4650(1+\frac{0.09}{12})^{17*12}[/tex] Simplify
[tex]A = 4650(1.0075)^{204}[/tex] Do the exponent with a calculator
[tex]A = 4650(4.59188689)[/tex] Multiply
[tex]A = 21352.274[/tex] Unrounded answer
A ≈ 21352.27 Round down because "4" is less than 5.
Therefore Ashley's account balance after 17 years will be $21,352.27.
At how many points does the graph of the function below intersect the x-
axis?
y= 16x2 - 8x+1
Apex
Answer:
1
Step-by-step explanation:
Which line is the graph of y= 2x - 1?
Answer:
The points are (0,-1) and (1,1)
Step-by-step explanation:
Answer:
Line A
Step-by-step explanation:
one fifth ÷ 4 = ⬜
Luis said the solution is 20.
Matt said the solution is .1/20
Who is correct? Explain your reasoning.
Matt said the solution 1/20 is the correct answer.
Step-by-step explanation:
step 1 :
one fifth ÷ 4 = one part in five equal parts / 4
= (1/5) / 4
The expression can be written as (1/5) / (4/1)
step 2 :
To solve the division of fractions, take reciprocal of the denominator and do multiplication.
The reciprocal of denominator (4/1) is 1/4.
step 3 :
(1/5) / (4/1) = (1/5) [tex]\times[/tex] (1/4)
= 1/20
∴ Matt said the solution is 1/20 is correct.
Amy drove to her mothers house, which is 204 miles away. If it took her 3 hours, what was her average speed?
68 m/s was her average speed
Amy's average speed was 68 mph (miles per hour)
Calculating average speedFrom the question, we are to determine what Amy's average speed was
Average speed can be calculated by using the formula,
[tex]Average\ speed =\frac{Distance}{Time}[/tex]
From the given information,
Distance covered = 204 miles
Time = 3 hours
Then
Average speed = [tex]\frac{204}{3}[/tex]
Average speed = 68 mph (miles per hour)
Hence, Amy's average speed was 68 mph (miles per hour)
Learn more on Calculating average speed here: https://brainly.com/question/6504879
Solve the equation.
9 + n/5 = 19
A 50
B 140
C 104
D 86
Answer:
50
Step-by-step explanation:
Given tan A =7/24, find the sin B and tan b. A. 7/25 B. 24/7 C. 24/25 D. 7/24
Question:
Given tan B =7/24, find the sin B
Answer:
Option A
[tex]sin\ B = \frac{7}{25}[/tex]
Solution:
Given that,
[tex]tan\ B = \frac{7}{24}[/tex]
We have to find sin B
We know that by trignometric ratios,
[tex]tan = \frac{opposite}{adjacent}[/tex]
From given,
[tex]tan\ B = \frac{7}{24}[/tex]
On comparing we get,
Opposite = 7
Adjacent = 24
We can find the hypotenuse
[tex]hypotenuse^2 = opposite^2 + adjacent^2\\\\hypotenuse^2 = 7^2 + 24^2\\\\hypotenuse^2 = 49 + 576\\\\hypotenuse^2 = 625\\\\Take\ square\ root\ on\ both\ sides\\\\hypotenuse = 25[/tex]
Thus Sin B is given as:
[tex]sin\ B = \frac{opposite}{hypotenuse}\\\\sin\ B = \frac{7}{25}[/tex]
Thus, sin B is [tex]\frac{7}{25}[/tex]
You have two fair, six-sides dice. However, the dice have been modified so that instead or 1,2,3,4,5,6 the sides are numbered 1,2,2,2,3,4.
What is the probability the total of the two dice is an even number?
Answer:
.
Step-by-step explanation:
Answer:
5/9.
Step-by-step explanation:
Prob ( first dice = 2 and second = 2) = 1/2 * 1/2 = 1/4
Prob ( first = 2 , second = 4) = 1/2 * 1/6 = 1/12
Prob ( first = 4 and second = 2) = 1/12.
Prob ( first = 3 and second = 1 ) = 1/36
Prob ( first = 1 and second = 3) = 1/36.
Prob ( first = 3 and second = 3) = 1/6 *1/6 = 1/36.
Prob (first = 1 and second = 1 = 1/36.
Prob (first = 4 and second = 4 = 1/36.
Required probability is the sum of these which is:
5/9.
I hope I've thought of all the possible outcomes.
(b) John begins his jogging workout by running faster and faster for about a minute. Once he hits a comfortable pace, he
runs at that pace for several minutes. Then he gradually slows down to a stop over the next few minutes.
Speed
Speed
Speed
Speed
Time
Time
Time
Time
Answer:
What am i supposed to answer?
What is the quotient of the following division problem?
x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol. minus x squared + x to get a remainder of 0 ) 2 x + 2. minus 2 x + 2 to get a remainder of 0 and a quotient of x + 2.
The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2
Step-by-step explanation:
We need to find quotient of x^2+3x+2 divided by x+1
The division is shown in figure attached.
Quotient: x+2
Remainder: 0
The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2
Answer:
x+2
Step-by-step explanation:
1/2 + 1/3 (6/7 + 15/28)
A post it note has an area of A square inches. The width of the post it note is 4 inches.which equation represents X the length of the post it note in inches A X=4/A. B. X=A+2(4) C. X=A/4. D. X=A-2(4)
Answer:
Option C. X=A/4
Step-by-step explanation:
we know that
The area of the rectangular post it note is equal to
[tex]A=LW[/tex]
where
L is the length
W is the width
In this problem we have
[tex]W=4\ in\\L=X\ in[/tex]
substitute
[tex]A=4X[/tex]
solve for x
That means ----> isolate the variable x
Divide by 4 both sides
[tex]X=\frac{A}{4}[/tex]
15 inches increased by 20%
Answer:
18
Step-by-step explanation:
15 + Percentage increase =
15 + (20% × 15) =
15 + 20% × 15 =
(1 + 20%) × 15 =
(100% + 20%) × 15 =
120% × 15 =
120 ÷ 100 × 15 =
120 × 15 ÷ 100 =
1,800 ÷ 100 =
18
Please help I'll give thanks and brainliest.
Also I'm pretty sure both have 2 answers.
Thanks! ^u^
Answer:
(1) Factor: a^n(1+a)
(2) Solve: x=0, x=2/3
Step-by-step explanation:
Steps to factor:
[tex]a^n+a^{n+1}[/tex]
~Apply rule of exponent ([tex]a^{b+c}=a^ba^c[/tex])
[tex]a^n+a^1a^n[/tex]
~Factor out the common term of [tex]a^n[/tex]
[tex]a^n(1+a)[/tex]
Steps to solve:
[tex]3x^3-x^2=x^2[/tex]
~Subtract [tex]x^2[/tex] to both sides
[tex]3x^3-x^2-x^2=x^2-x^2[/tex]
~Simplify
[tex]3x^3-2x^2=0[/tex]
~Factor left side of the equation
[tex]x^2(3x-2)=0[/tex]
~Set factors to equal zero
[tex]x^2=0[/tex] and [tex]3x-2=0[/tex]
~Simplify
[tex]x = 0[/tex] and [tex]x=\frac{2}{3}[/tex]
Best of Luck!
16^(3-3r)=256 can someone please help me solve this!! Thanks!!
Answer:
The value of r is 1/3
Step-by-step explanation:
Let's solve for r in the equation:
16 ^(3-3r) = 256
16 ^(3-3r) = 16²
3 - 3r = 2
-3r = 2 - 3
-3r = -1
r = -1/-3
r = 1/3
Let's prove r = 1/3 is correct:
16 ^(3-3r) = 256
16 ^ (3 - (3 * 1/3)) = 256
16 ^ (3 - 1) = 256
16 ² = 256
16 * 16 = 356
We proved that r = 1/3 is correct
An item is regularly placed at $87. Laura bought it on sale for 55% off the regular price. How much did Laura pay?
Answer:
$39.15
Step-by-step explanation:
87 x .55 = 47.85
87-47.85= 39.15
Answer:
$39.15
Step-by-step explanation:
87 x 55%
87 x 0.55 = 47.85
87 - 47.85 = 39.15