Answer:
Step-by-step explanation:
x = small box and y = large box
30x + 40y = 330
y = 2x
30x + 40(2x) = 330
30x + 80x = 330
110x = 330
x = 330/110
x = 3 <===== 3 small boxes
y = 2x
y = 2(3)
y = 6 <=== 6 large boxes
check...
30x + 40y = 330
30(3) + 40(6) = 330
90 + 240 = 330
330 = 330 (correct)
What percent of 20
is 16
well 4 is basically 1/5 of 20, so that would be about 20%
and since 4 x 4 is 16, my guess is that 16 is 80% of 20
Answer: 80%
Step-by-step explanation: To answer the question what percent of 20 is 16, we translate the question into an equation.
So we have "what percent" that's x, "of 20" means times 20, "is 16" = 16. So now we have the equation (x)(20) = 16.
Now to solve for x, since x is being multiplied by 20, we need to divide by 20 on both sides of the equation. On the left side of the equation the 20's cancel and we have x and on the right side of the equation we have 16 divided by 20 which is 0.8.
Now, remember that we want to write our answer as a percent so we need to convert 0.8 into a percent.
We can convert a decimal into a percent by moving the decimal point two places to the right so we can change 0.8 to a percent by simply moving the decimal point two places to the right and we have 80%.
This means that 80% of 20 is 16.
Find the equation in slope - intercept form that describes a line through (2,4) with slope 0
Answer:
y=4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=0(x-2)
y-4=0
y=0+4
y=4
on the fast train Yvonne and Lisette traveled 760 kilometers in 4 hours what was the trains average rate of speed
Answer:
190 km an hour
Step-by-step explanation:
88+88+88+88+88+88+88+88 times 88=_________
If somebody creates a question like this for free for 100 points i'll do another one of these and award yo brainliest,
Answer:
It's your friend at school. 8360 is your answer.
Step-by-step explanation:
88 + 88
= 176 + 88
= 264 + 88
= 352 + 88
= 440 + 88
= 528 + 88
= 616 + 88 =
704 x 88
= 8360
Answer:
8,360
Step-by-step explanation:
88 + 88 + 88 + 88 + 88 + 88 + 88 + 88 × 88 is our problem.
Instead of adding all of these 88's together, we will just multiply 88 by 8 because there are 8 of these 88's.
That will leave us with: 704
But that is not our answer.
We still have one more step, and it is to multiply 704 by 8.
After we do that we will have: 8,360 as our answer.
I hope this helps! :>
The solution of a +b > 12 is a > -3. What is the value of b?
Step-by-step explanation:
[tex]a + b > 12 \\ [/tex]
but
[tex] \\ a > - 3 \\ [/tex]
if
[tex]a = - 3 \\ then \: \\ a + b > 12 \\ - 3 + b > 12 \\ b > 12 + 3 \\ b > 15[/tex]
Answer:
its -3
Step-by-step explanation:
What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81 a 1 = 1 and r = one-third a 1 = one-third and r = 1 a 1 = 1 and r = 3 a 1 = 3 and r = 1
Answer:
a₁ = 1 and r = 3Step-by-step explanation:
[tex]1+3+9+27+81\\\\a_1=1,\ a_2=3,\ a_3=9,\ a_4=27,\ a_5=81\\\\r=\dfrac{a_{n+1}}{a_n}\Rightarrow r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=\dfrac{a_5}{a_4}\\\\r=\dfrac{3}{1}=\dfrac{9}{3}=\dfrac{27}{9}=\dfrac{81}{27}=3[/tex]
Good evening ,
Answer:
a₁ = 1 r = 3Step-by-step explanation:
Since it’s a geometric series then
a₁ = 1 ( because 1 is the first term of the series)
3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.
:)
Can u guys PLEASE answer this question ASAP using the table below
Becky earns $633.81 for a 40 hour week. Any overtime is paid at double-time.
a) Using the tax schedule below, what is the tax payable on Becky's normal wage?
b) How many hours overtime can she work in a year and still remain in the same tax category?
Answer:
Tax on her normal wage is $ 6755
She can work 176 hours in a year and still remain in the same tax category
Step-by-step explanation:
Becky earns $633.81 for a 40 hour week.
Her normal monthly wage is $ 633.81 *4 = $ 2535.24
Her annual income is $ 2535.2 *12= $ 30,422.88
Tax on her annual income is $30,422.88- $ 20,700= $9722.88
Tax on $ 20,700 is $ 3060
Tax on remaining $ 9722.88 is 0.38*9722.88= $36,95
Total tax is $ 3060 + $ 3695= $ 6755
She can earn up to ( $ 36,000- $ 30, 423=) $ 5577 to remain in the same tax bracket.
She earns $633.81/40= $ 15.84 in one hour
She gets twice the wage for the overtime $ 31. 69
No of hours she can work = $5577/ $ 31.69 = 175.98 almost 176 hours
What is the measure in degrees of 2 show your work explain your answer
Help
Answer:
45 degrees
Step-by-step explanation:
because 2 and 5 are vertical angles they are therefore congruent by definition, 5 is half of one and one is a right angle so measure angle 2 = 45 degrees
Answer:
50
Step-by-step explanation:
The total of all 6 angles make a circle, which equals 360°. Using the information below the figure,
2 * m∠5 = 90°, since 2 * m∠5 = m∠1 and ∠1 is a right angle.
Because ∠1, ∠5, and ∠6 are on one side of line L, they must equal 180°, and if ∠1 equals 90°,
m∠5 + m∠6=90°.
Since 2 * m∠5=m∠1 and m∠1=90°, m∠1 must be 45°. And by Transitive Property, m∠6 also equals 90°.
If the total measure of the angles is 360° and ∠1, ∠5, and ∠6 add up to 180°, ∠2, ∠3, and ∠4 must also add to 180°.
m∠6=m∠3 - 20°. We know that m∠6 is 45°, so we put that into an equation. I am going to use x as the measure of ∠3.
45=x-20 >>> 20+45=x-20+20 >>> 20+45=x >>> 65=x >>> x=m∠3 >>> m∠3=65
m∠3=m∠4, so m∠3+m∠4=65+65, or 130. And like I said above, ∠2, ∠3, and ∠4 must add to 180°. 180 minus 130 (the measure of ∠3 + ∠4) = 50, which has to be the measure of ∠2
How do you do this equation: 9|5x+8|=54
Answer (2 answers):
x = -2/5, x = -14/5
Step-by-step explanation:
First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.
9|5x+8|=54
|5x+8| = 54/9
|5x+8| = 6
Remember how absolute values turn everything positive? For example
|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.
|5x+8| = 6 and |-(5x+8)| = 6
now solve the first equation.
(Just remove the absolute value sign and solve it normally)
5x+8 = 6
5x = -2
x = -2/5
Now solve the other equation
-(5x+8) = 6
-5x - 8 = 6
-5x = 14
x = -14/5
Evaluate 18 - (2 + 6h), if h= 2
Good morning,
Answer:
if h= 2 ⇒ 18 - (2 + 6h) = 4.
Step-by-step explanation:
if h= 2 Then 18 - (2 + 6h) = 18 -(2+6×2) = 18 - 14 = 4.
:)
Percent change, "a price of a dirt bike dropped from $872 to $600"
Answer:
Percent change is −31.19%.
Step-by-step explanation:
It is given that "a price of a dirt bike dropped from $872 to $600".
Initial price = $872
New price = $600
We need to find the Percent change.
[tex]\text{Percent change}=\dfrac{\text{New price - Initial price}}{\text{Initial price}}\times 100[/tex]
[tex]\text{Percent change}=\dfrac{600-872}{872}\times 100[/tex]
[tex]\text{Percent change}=\dfrac{-272}{872}\times 100[/tex]
[tex]\text{Percent change}=-31.19266[/tex]
[tex]\text{Percent change}\approx -31.19[/tex]
Therefore, the percent change is −31.19%.
Final answer:
The chance change in the price of the dirt bike is-31.2, indicating a drop in price from$ 872 to$ 600.
Explanation:
To calculate the chance change in the price of a dirt bike that dropped from$ 872 to$ 600, we follow this formula given in the reference Chance change = (( change in value)/( original value)) × 100
First, we find the change in value, which is the new price abated from the original price $ 600-$ 872 = -$ 272 also, we divide this change by the original price -$ 272/$ 872 ≈-0.312
Eventually, to find the chance change, we multiply this bit by 100 -0.312 × 100 = -31.2 This means the price of the dirt bike dropped by31.2.
1. 112 in 8 hours
2.150 miles in 6 gallons
Answer:
first step divide 112 by 8 which is going to give you 14 per hours. second step 150 by 6 is going to give you 25 per hours
I'm assuming that you want to find the unit rate of both scenarios.
I'm going to assume that you meant 112 miles in 8 hours.
Divide to find the unit rate: 112 / 8 = 14 miles per hour.
150 miles in 6 gallons
Divide to find the unit rate: 150 / 6 = 25 miles per gallon.
Best of Luck!
A company sell earbuds for $17 each. At the end of the week,they have sold $731 worth of earbuds.how many earbuds did they sell? Write and solve an equation to find the answer
Answer:
43 earbuds
Step-by-step explanation:
Let x be the number of earbuds sold over the week
This implies that
1 earbud:$17
x earbud:$731
Writing an equation, we get
[tex] \frac{1}{17} = \frac{x}{731} [/tex]
cross multiplying, we obtain
17x=731
Dividing through by 17,we get
x=43
-2x-16+0
Solve for X
Answer:
x = -8
Step-by-step explanation:
-2x-16+0 = 0
Combine like terms.
-2x-16 = 0
Add 16 to both sides (to isolate the -2x from -16)
-2x = 16
Divide both sides by -2 to isolate the x from -2
x = -8
Lydia's kitchen as about 410 square feet of wall area. One roll of wallpaper covers about 23 square feet. How many rolls of wallpaper will lydia need to paper the walls of the kitchen?
Answer:
410 / 23 = 17.8260869565
Lydia would need about 18 rolls of wallpaper to paper the walls of her kitchen.
EXTRA POINTS IF ANSWERED FAST: Kevin recorded the distances he ran last week. The total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday. How many miles did Kevin run on Wednesday? PLZZZZ ANSSWWWEEERRR
Answer:
[tex]5\frac{2}{3}[/tex] miles.
Step-by-step explanation:
Kevin recorded the distances he ran last week in the table attached to this question.
Now, the total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday.
Hence, {x + (x + 9) + (x + 4)} = {2x + (4x - 2)}
⇒ 3x + 13 = 6x - 2
⇒ 9x = 15
⇒ [tex]x = \frac{15}{9} = \frac{5}{3}[/tex]
Therefore, he ran on Wednesday = x + 4 = [tex]\frac{5}{3} + 4 = \frac{17}{3} = 5\frac{2}{3}[/tex] miles. (Answer)
Answer: 9 miles
Step-by-step explanation:
x + x + 9 + x +4 = 2x + 4x-2
Collecting like terms
x + x + x +9 + 4 = 2x + 4x -2
Collect like terms
3x +13 = 6x -2
3x - 6x = -2 -13
-3x = -15
Divide both side by -3
x = 5
Therefore ; total number he ran on Wednesday
x + 4
If x = 5
Therefore total number he ran on Wednesday = 5+4
= 9
Evaluate. 12+4⋅3−15 Enter your answer in the box.
Answer:
the answer is 1.3
Step-by-step explanation:
12+4.3 is 16.3
16.3-15 is 1.3
Answer:
9
Step-by-step explanation:
PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
So, the first thing you would do is Multiply:
12+4*3-15
12+12-15
Then Add:
24-15
Finally Subtract:
9
The sum of 2 consecutive integers is -95 what are they
Answer:
The two integers are -47 and -48.
Step-by-step explanation:
Let the two consecutive integers be [tex]$ (n - 1) $[/tex] and [tex]$ n $[/tex].
Given that their sum is -95.
⇒ (n - 1) + n = - 95
⇒ 2n - 1 = - 95
⇒ 2n = - 94
Dividing by 2 throughout, we get:
n = - 47
⇒ n - 1 = - 47 - 1 = - 48
Therefore, the two integers should be - 47 and - 48.
What is the y intercept of (-4,5) and (1,-7.5
write an equation of the line that passes through (-4, 4) and is perpendicular to the line y=1/2x + 1
Answer:
y-4=-2(x+4)
Step-by-step explanation:
Perpendicular means negative reciprocal of the slope.
y-y1=m(x-x1)
y-4=-2(x-(-4))
y-4=-2(x+4)
The equation of the line that passes through the point (-4, 4) and is perpendicular to the line [tex]y = \frac{1}{2}x + 1[/tex] is [tex]y = -2x - 4[/tex].
To find the equation of the line that passes through the point (-4, 4) and is perpendicular to the line [tex]y = \frac{1}{2}x + 1[/tex], we need to do the following steps:
Determine the slope of the given line:
The slope of the given line [tex]y = \frac{1}{2}x + 1[/tex] is [tex]\frac{1}{2}[/tex].
Find the slope of the perpendicular line:
The slopes of two perpendicular lines are negative reciprocals of each other. Therefore, if the slope of the given line is [tex]\frac{1}{2}[/tex], the slope of the perpendicular line will be [tex]-2[/tex] (since [tex]-1 \div \frac{1}{2} = -2[/tex]).
Use the point-slope form to find the equation:
The point-slope form of a line is [tex]y - y_1 = m(x - x_1)[/tex], where [tex](x_1, y_1)[/tex] is a point on the line, and [tex]m[/tex] is the slope.
Here, the point is [tex](-4, 4)[/tex] and the slope [tex]m = -2[/tex].
Substituting these values into the point-slope form, we get:
[tex]y - 4 = -2(x + 4)[/tex]
Simplify the equation:
Distribute the slope on the right side:
[tex]y - 4 = -2x - 8[/tex]
Add 4 to both sides to solve for [tex]y[/tex]:
[tex]y = -2x - 4[/tex]
Take a factor out of the square root: 4sqrt450
Put a positive factor back into the square root:-5sqrt0.6
please help
Answer:
4[tex]\sqrt{450}[/tex] = 4[tex]\sqrt{25 * 18}[/tex]
= 4 × 5 [tex]\sqrt{18}[/tex]
= 20 [tex]\sqrt{18}[/tex]
= 20 [tex]\sqrt{9 * 2}[/tex]
= 20 × 3 [tex]\sqrt{2}[/tex]
= 60 [tex]\sqrt{2}[/tex]
-5 [tex]\sqrt{0.6}[/tex] = -5 [tex]\sqrt{0.6}[/tex]
= - [tex]\sqrt{25 * 0.6}[/tex]
= - [tex]\sqrt{25 * \frac{3}{5}[/tex]
= - [tex]\sqrt{15}[/tex]
Steps Explanation:
simplify 450 to 25 * 18now we can take the square root of 25 to give 5, which is factored out.follow this step to the end till it is completely simplifiedFor the second part, factor in 5 by squaring it to give 25 and simplify to the endIf g(x)=1/x were shifted 4 units to the left and 4 units up what would the new equation be?
The new equation will be:
[tex]g(x) =\frac{1}{x+4}+4[/tex]
OR
[tex]g(x) = \frac{x+5}{x+4}[/tex]
Step-by-step explanation:
The function transformations are defined as:
Shifting function upwards b units
[tex]f(x) => g(x) = f(x)+b[/tex]
Shifting functions to the left b units
[tex]f(x) => g(x) = f(x+b)[/tex]
Given function is:
[tex]g(x) = \frac{1}{x}[/tex]
Shifting the function 4 units to the left will give us:
[tex]g(x) => g(x+b)\\= \frac{1}{x+4}[/tex]
Now shifting the function 4 units upwards
[tex]g(x) = \frac{1}{x+4} + 4[/tex]
Simplifying
[tex]g(x) = \frac{1+x+4}{x+4}\\= \frac{x+5}{x+4}[/tex]
The new equation will be:
[tex]g(x) =\frac{1}{x+4}+4[/tex]
OR
[tex]g(x) = \frac{x+5}{x+4}[/tex]
Keywords: function, transformations
Learn more about functions at:
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The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x).
What is the unit rate, expressed in kilometers per minute?
Answer:
[tex]4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]
Step-by-step explanation:
The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x). This graph passes through the point (75,30). This means that in 30 minutes (x = 30), it was traveled 75 kilometers.
To find unit rate, divide the number of kilometers by the number of minutes:
[tex]\dfrac{75}{30}=\dfrac{25}{6}=4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]
A cone has a diameter of 6 cm and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?
A) 1/3(3.14)(3cm)^2(18cm)
B) 1/3(3.14)(6cm)^2(18cm)
C) 1/3(3.14)(18cm)^2(3cm)
D) 1/3(3.14)(18cm)^2(6cm)
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Step-by-step explanation:
Given
Diameter of Cone = d = 6 cm
Radius will be:
r = d/2 = 6/2 = 3 cm
Height of cone = h = 3d = 18 cm
The volume of cone is given by:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Putting the values
[tex]V = \frac{1}{3} (3.14)(3)^2(18)[/tex]
Hence,
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Keywords: Volume, cone
Learn more about volume at:
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Evaluate 2/3x when x=9/4
Answer:
3/2
Step-by-step explanation:
Plug x into the equation.
We get 2/3(9/4)
Multiply the 2 fractions. Final answer, 3/2.
Two different ways to solve 1/4x-5=3/4x-12
Answer:
Step-by-step explanation:
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2/2 - 1/4 show answer subtracting fractions
Answer:
3/4
Step-by-step explanation:
2/2=1
1-1/4=4/4-1/4=3/4
Answer:
3/4
Step-by-step explanation:
1. Cancel 2.
1 - 1/4.
2. Get the same dominators.
1 X 1/4 X 4/4
3. Simplify.
4/4 - 1/4.
4-1/4
3/4
Can someone help me with these problems? I'm in k12 and this assignment was in classkick, so if anyone already completed this and can help, please do. I also am going to be asking some more questions, if you can help with those too. Thanks! (Will give brainliest.)
Answer: Domain = { -3 , 6 , 5 , -6}
Range = { 7 , 2 , -1 , -6 }
Step-by-step explanation:
considering the points given
[tex]x_{1}[/tex] = -3 [tex]y_{1}[/tex] = 7
[tex]x_{2}[/tex] = 6 [tex]y_{2}[/tex] = 2
[tex]x_{3}[/tex] = 5 [tex]y_{3}[/tex] = -1
[tex]x_{4}[/tex] = -9 [tex]y_{4}[/tex] = -6
This shows that that is relationship between the values of x and the values of y.
All the values of x represent the domain and all the values of y represent the range.
Therefore :
Domain = { -3 , 6 , 5 , -6}
Range = { 7 , 2 , -1 , -6 }
cross product property
Using the cross product property on this proportion gives us the following equation:
20 (2x - 9) = 10 (9)
Use the distributive property and multiply
40x - 180 = 90
Add 180 to both sides
40x = 270
Divide 40 from both sides
x = 270/40
Simplify fraction
x = 27/4
This should be your answer. Let me know if you need any clarifications, thanks!
The cross product is a type of multiplication between vectors that results in a vector product. It has the distributive property and is anticommutative.
Explanation:The cross product is a type of multiplication between vectors that results in a vector product. It is denoted by the symbol A x B and is also known as the vector product.
The cross product has the distributive property, which allows us to distribute a vector across the sum of two other vectors. For example, A x (B + C) = (A x B) + (A x C).
The cross product is anticommutative, meaning that the order in which we multiply two vectors matters. A x B = -B x A.
Learn more about Cross product here:https://brainly.com/question/29097076
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In a school, only 13 out of 15 student participate in a competition.what is the probability of the student who do not makes it to the competition?
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
Number of students participating in the competition = 13.
Total number of students in the school = 15.
Thus ,
the number of students who did not make to this competition =
Total number of students - number of students participated
= 15-13 = 2.
Now ,
probability of the student who do not makes it to the competition
= fraction of students who did not make to this competition from the total number of students .
=[tex]\frac{2}{15}[/tex].