Answer:
$6,720
Step-by-step explanation:
20% of 5600 is 1120.
1120+5600= 6,720
Solve the equation. 6^3r = 36
Answer:
r = 2/3
Step-by-step explanation:
[tex]6^{3r} =36[/tex]
if:
[tex]36=6^{2}[/tex]
[tex]6^{3r} =6^{2}[/tex]
then:
[tex]3r=2[/tex]
[tex]r=2/3[/tex]
Hope this helps
Answer:
[tex]r=\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]6^{3r}=36\\\\log_6(6^{3r})=log_6(36)\\\\3r=2\\\\r=\frac{2}{3}[/tex]
An article reports "attendance dropped 2% this year, to 3750." What was the attendance before the drop?
Answer:
7,500 was the attendance before the drop.
Step-by-step explanation:
3750 x 2
Ryan works at the car wash making $5. 30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did Ryan make last week? a. $86. 40 b. $148. 00 c. $169. 60 d. $233. 40 Please select the best answer from the choices provided A B C D.
Answer:
d. $233.40
Step-by-step explanation:
you solve this by first multiplying Ryan's hourly rate($5.30) by how many hours he worked last week(32 hours)
5.30*32=169.6
then you take that number and subtract it from how much he earned($403) and the resulting number will be what he made in tips
403-169.9=233.40
Answer:
d. $233.40
Step-by-step explanation:
pay for 32 hours
= $5.30 × 32
= $169.60
tips = $403 - $169.60
= $233.40
multiply -10(-7x² + 5x)
Step-by-step explanation:
Use the Distributive Property:
[tex]-10(-7x^{2} +5x)[/tex]
[tex]70x^{2}-50x[/tex]
[tex]70x^{2}-50x[/tex] is your simplified expression.
Write a word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor.
The word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor is that John wants to buy a 4 yards cloth qnd there are pieces of 2/7 yards each. How many pieces will he buy?
How to calculate the value?In this case, it should be noted that division is used.to separate into different parts.
Therefore, John wants to buy a 4 yards cloth qnd there are pieces of 2/7 yards each.
The pieces to be bought will be:
= 4 ÷ 2/7
= 4 × 7/2
= 14
He'll buy 14 pieces.
Learn more about division on:
brainly.com/question/28119824
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(PLEASE HELP!) (IM GIVING GOOD POINTS!)
Yutto is writing a paper, and he notices he can write 1.25 pages every 2 hours. He estimates he can finish the six-page paper in 6 hours.
Is his estimate reasonable, why or why not?
No, he incorrectly rounded 1.25 to 2.No, he incorrectly rounded 1 point 2 5 to
No, he incorrectly rounded 6 to 6.5.No, he incorrectly rounded 6 to
Yes, he correctly rounded 1.25 to 2.Yes, he correctly rounded 1 point 2 5 to
Yes, he found the exact time.
Answer:
No, he incorrectly rounded 1.25 to 2
Step-by-step explanation:
hope this helps :)
Answer:
No, he incorrectly rounded 1.25 to 2
Step-by-step explanation:
To find out how many pages Yutto writes in 1 hour we divide
1.25/2=0.625
Now we multiply
0.625×6=3.75
3.75≠6
So now we know that Yutto was incorrect so we can eliminate the last two options. Now how did he get his original estimate? For option A,
1.25 is rounded to 2
2/2=1
1×6=6
So the answer is A
Luzia ran the 400‑meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer:
53.5 sec
Step-by-step explanation:
avg = 54
(56.3+52.3+x)/3 = 54
56.3+52.3+x = 54*3=162
108.5+x = 162
x = 162-108.5=. 53.5
Answer:
53.5 sec
Step-by-step explanation:
Hope its right
What is the measure of angle 1?
Answer:
88
Step-by-step explanation:
92 and angle 2 are corresponding and 180-92= 88
Decide whether the given ordered pair is a solution to the system of equations.
-5x+y=12
y=-x
(-2,2)
Answer:
no
Step-by-step explanation:
Doesn't add to 12
[tex] - 5x + y = 12[/tex]
Add both sides 5x
[tex] - 5x + 5x + y = 5x + 12[/tex]
[tex]y = 5x + 12[/tex]
&
[tex]y = - x[/tex]
Thus :
[tex] - x = 5x + 12[/tex]
Add both sides x
[tex] - x + x = 5x + x + 12[/tex]
[tex]0 = 6x + 12[/tex]
Subtract both sides 12
[tex]0 - 12 = 6x + 12 - 12[/tex]
[tex] - 12 = 6x[/tex]
Switch sides
[tex]6x = - 12[/tex]
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{ - 12}{6} \\ [/tex]
[tex]x = - 2[/tex]
We found the x-coordinate of the solution point ; to find the y-coordinate we just need to put the value of x in one 0f the given equations :
[tex]y = - ( - 2) [/tex]
[tex]y = 2[/tex]
Thus ( - 2 , 2 ) is the solution to this system of equations.
What is the slope of the line that passes through the points (1, -7) and (-2,-7)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
its a straight line horizontally
Find the product of (x − 3)2. X2 6x 9 x2 − 9 x2 − 6x 9 x2 9.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x-3)^2[/tex] is [tex]x^2 - 6x + 9[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
For the given case, the product needed can be calculated as:
[tex](x-3)^2 = (x-3) \times(x-3) = x(x-3) - 3(x-3) = x^2 - 3x - 3x + 9\\\\(x-3)^2 = x^2 - (3+3)x + 9 = x^2 - 6x + 9[/tex]
(coefficients of like terms were added)
Thus, the product result of given expression is
[tex]x^2 - 6x + 9[/tex]
Learn more about product of polynomials here:
https://brainly.com/question/9106484
Answer:
x^2 - 6x + 9
Step-by-step explanation:
Hope this helps! :D
A farmer owns a total of 19 ducks and horses.
The ducks and horses have 64 legs altogether.
How many horses are there?
Answer:
6 ducks and 13 horses
Step-by-step explanation:
x ducks
19-x horses
2x+4(19-x)=64
2x+76-4x=64
4x-2x=76-64
2x=12
x=6 ducks
19-x = horses
19-6=13 horses
6 ducks and 13 horses
what is the slope that connects the two points ( -1,-2) and (4,4)
8th grade math.
Answer:
6/5
Step-by-step explanation:
rise/run
I hope this is right! :D
Answer:
The slope would be 6/5
Is 5x+2 equivalent to 5x+2x ?
Answer:
I don't think so
Step-by-step explanation:
If I remember (based on memory) it's not equivalent
Reasoning: there's a different amount of Xs
Answer:
Please answer my question if you can, and gl understanding this! <3
Step-by-step explanation:
No, for if we subtract them, when we cancel out the 5x, 2, the integer, will not be equal to 2x, for not only is 2 already there, it is also being multipled by an integer. It possibly can equal though, if x was either 0, or positive 1, but if the x is not given, then no, they're not equivalent.
please can you help me on this mathswacth question?
Answer:
84 cm
Step-by-step explanation:
the area of a parallelogram is the how tall is it times it by the how long the base
(H x B)
the answer is 84 cm
please hurry i’m super stressed
The area of a rectangle is 168 cm^2. The rectangle has a perimeter of 52 cm. What are the dimensions of the quadrilateral?
Answer:
12 cm by 14 cm
Step-by-step explanation:
The area is given by ...
A = LW
The perimeter is given by ...
P = 2(L +W)
Substituting the given values, we have ...
168 = LW
52 = 2(L +W)
The second equation can be used to find an expression for L:
26 = L +W . . . . . divide by 2
L = 26 -W . . . . . subtract W
Using this in the first equation, we have ...
168 = (26 -W)(W)
W² -26W +168 = 0
Factors of 168 are ...
168 = (-1)(-168) = (-2)(-84) = (-3)(-56) = (-4)(-42) = (-6)(-28) = (-7)(-24)
= (-8)(-21) = (-12)(-14)
Only the last factor pair (-12, -14) has a sum of -26, so the equation factors as ...
(W -12)(W -14) = 0
Solutions are W=12, and W=14. The corresponding values of L are 14 and 12.
The quadrilateral has dimensions of 12 cm and 14 cm.
Tell how much each person gets when they share equally.
3 friends share 5 pounds of trail mix.
Answer:
Each person will get .6 of a pound
Step-by-step explanation:
If you divide 3 by 5 you get .6.
Given sin 0 and angle 0 is in Quadrant II, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.
sin = 3/7
1 = sin²0 + cos²0
cos²0 = 1 - 9/49
cos²0 = 40/49
cos0 = √(40) / 7
since its in Quadrant 2 the sin is positive and cos is negative
cos0 = - √(40) / 7
Express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.
By simplifying the given expression we will get that:
18*√8 = 36*√2
How to find an equivalent expression?
Here we start with:
18*√8
We can rewrite 18 as:
18 = √324
Replacing that in our expression we get:
√324*√8 = √(324*8) = √(2,592)
Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).
If we divide 2,592 by 2, we get:
2592/2 = 1296
Then we can rewrite:
√2592 = √(2*1296) = √2*√1296 = √2*36
So this is the expression we wanted:
18*√8 = 36*√2
If you want to learn more about square roots, you can read:
https://brainly.com/question/8952483
Answer:
[tex]36\sqrt{2}[/tex]
Step-by-step explanation:
The largest square factor under the radical is 4. This gives us the factorization [tex]\sqrt{8} =\sqrt{4} * \sqrt{2}[/tex].
Thus,
[tex]18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})[/tex]
[tex]= 18*2\sqrt{2}[/tex]
[tex]= 36\sqrt{2}[/tex]
Hope this helps!
the perimeter of a rectangular pool is 5656 meter. if the length of the pool is 1616 meter then find its width
pls explain full
Answer:
Length= 1616 m
Perimeter= 5656 m
= 2X L+ B
Breadth= Perimeter- Length /2
= 5656m - 1616 m
= 4040 /2
= 2020 m
Please mark as Brainliest
I need help with this problem please and thank you
a) [tex]x^5-x^3[/tex]
[tex]x^3\left(x^2-1\right)[/tex] ........take out x³
[tex]x^3\left(x+1\right)\left(x-1\right)[/tex] ......separated (x²-1)
b) [tex]3x^2-75[/tex]
[tex]3\left(x^2-25\right)[/tex] ........took out 3.
[tex]3\left(x+5\right)\left(x-5\right)[/tex] .......separated (x²-25)
c) [tex]3x^5y+4x^4y-5x^2y[/tex]
[tex]x^2y\left(3x^3+4x^2-5\right)[/tex] ............takeout x²y at the front.
d) [tex]81x^3-125[/tex]
[tex]81x^3-125[/tex] ......cannot be factorised much more further.
Solution:
Part - A:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x⁴ (GCF), which can factorize completely. This will subtract 4 from the exponents.
=> x⁵ - x³=> x⁴(x - 1)Part - B:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by 3 (GCF), which can factorize completely. This will divide 3 from the terms.
3x² - 753(x² - 25)3(x + 5)(x - 5)Part - C:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x²y (GCF), which can factorize completely.
3x⁵y + 4x⁴y - 5x²y=> x²y(3x³ + 4x² - 5)Part - D:
Unfortunately, this expression can't factor with rational numbers. The expression results in 81x³ - 125.
The two triangles below are similar. What is the perimeter of triangle XYZ?
Answer:
24 units
Step-by-step explanation:
create a proportion:
15/20 = 6/XY
cross-multiply:
15·XY = 120
XY = 8
15/25 = 6/YZ
cross-multiply:
15·YZ = 150
YZ = 10
Perimeter:
6 + 8 + 10 = 24
Can someone help me
Step-by-step explanation:
I guess, the problem is to understand :
what means "average" ?
well, the average of a defined set of data points is the sum of the data divided by the number of data points (or samples).
that way you get a mean value for each time the system is "measured" (a data point is created).
each new measurement / data point changes the mean value (or average).
this is used all the time - in sports statistics (e.g. the average score of a team), in daily life (like the average height of a human being that defines sizes of clothes, beds, chairs, tables, even the typical height of ceilings and so on).
the average of these 8 data points is therefore :
(36+37+34+23+47+27+31+21)/8 = 256/8 = 32
so, if he wants to raise his average score to 35 with the results of the next 2 games, this has 2 things to be considered :
1. the number of days points will be then 8+2=10 (and not just 8).
2. we need to add 2 data points, so that the sum of all 10 data points divided by 10 is then 35.
(36+37+34+23+47+27+31+21+x+y)/10 = 35
(36+37+34+23+47+27+31+21+x+y) = 350
x + y = 350 - 256 = 94
that means, he has to score a total of 94 points in the next 2 games.
it does not matter, how many in any single game, as long as the sum of both games is 94.
since the question is phrased "how many in each of the next 2 games", we simply take the target average of these 2 games.
remember, sum/amount = 94/2 = 47.
so, he would have to score 47 points in each of the next 2 games to raise his general average score to 35.
bro somebody anybody answer these 2 questions i plead
Answer:
1. 4/5, 3/5, 4/3 || 2. x = 13.78
Step-by-step explanation:
1)
Sin = Opposite/Hypotenuse = 16/20 = 4/5
Cos = Adjacent/Hypotenuse = 12/20 = 3/5
Tan = Opposite/Adjacent = 16/12 = 4/3
So the answer is 4/5, 3/5, 4/3
2) The unknown side is the opposite, and 21 is the hypotenuse. Opposite/Hypotenuse is the sine function.
Sin(41) ≈ 0.656
0.656 = x/21
x = 13.776
The closest answer to this is 13.78
Find the value of x. PLS HELP ASAP!!!!!
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
the base length is 32
But we need the base angle for the x triangle so we say
[tex] \frac{32}{2} = 16[/tex]
[tex]20 = hypothenus \\ 16 = adjacent \\ [/tex]
[tex]opposite \: =[/tex]
[tex] {opp}^{2} + {adj}^{2} = {hyp}^{2} [/tex]
[tex] {opp}^{2} + {16}^{2} = {20}^{2} [/tex]
[tex] {opp}^{2} = {20}^{2} - {16}^{2} \\ {opp}^{2} = 400 - 256 \\ {opp}^{2} = 144 \\ opp = \sqrt{144} \\ opp = 12 \\ x = 12[/tex]
Jade is a real estate agent and is paid an annual salary of $18 000 plus a commission of 2.5% on
all sales. She is also paid a car allowance of $50 per week. What was Jade’s total yearly income
if she sold $1 200 000 worth of property?
Using proportions, it is found that Jade's total yearly income was of $50,600.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, Jade's income is composed by:
Fixed annual salary of $18,000.Car allowance of $50 per week, for 52 weeks.2.5% on commissions of $1,200,000.Hence:
[tex]T = 18000 + 50(52) + 0.025(1200000) = 50600[/tex]
Jade's total yearly income was of $50,600.
More can be learned about proportions at https://brainly.com/question/24372153
Solve the inequality
Answer:
[tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]\frac{3x}{2} \leq 9[/tex]
multiply by 2 to cancel
[tex]3x\leq 18[/tex]
Divide by 3:
[tex]x\leq 6[/tex]
Hope this helps
Quincy uses 2 cups of vinegar in his salad dressing recipe. How much vinegar would Quincy use to make 1/2 of a recipe?
Surface Area of Cylinder=2πrh+2πr2
Where r is the radius of the cylinder and h is the height of the cylinder.
Find the surface area when r is 8 inches and h is 8 inches.
A. 160π in²
B. 154π in²
C. 288π in²
D. 256π in²
Answer:
D. [tex]256\pi\ in^2[/tex]
Step-by-step explanation:
To do this, we need to plug in the given values into the equation:
[tex]SA=2\pi rh+2\pi r^2\\SA = 2\pi 8(8)+2\pi 8^2\\SA=2\pi 64+2\pi 64\\SA=128\pi + 128\pi\\SA=256\pi \ in^2[/tex]