Answer:
D. y < 128
Step-by-step explanation:
-1 + y/8 < 15
y/8 < 15 + 1
y/8 < 16
y < 16 × 8
y < 128
Answer:
Y<128
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
1/8y-1<15
Step 2: Add 1 to both sides.
1/8y-1+1<15+1
1/8y=16
Step 3: Multiply both sides by 8.
(8)*(1/8y)<(8)*(16)
Y<128
Simply
(3x^2 y^3/x^3)^3
The answer is 27y^9/x^3
if multiple choice the answer is 27x^6 y^9/x^9
Pictures so you can see
Answer:
[tex]=\frac{27y^9}{x^3}[/tex]
Step-by-step explanation:
[tex]\left(\frac{3x^2y^3}{x^3}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{3x^2y^3}{x^3}\right)^3=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(3x^2y^3\right)^3:\quad 27x^6y^9\\=\frac{27x^6y^9}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(x^3\right)^3:\quad x^9\\=\frac{27x^6y^9}{x^9}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]
[tex]\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\=\frac{27y^9}{x^{9-6}}\\\mathrm{Subtract\:the\:numbers:}\:9-6=3\\=\frac{27y^9}{x^3}[/tex]
Four cups of water are added to a 20 cup bowl of punch that is 75% juice. What percentage of the new punch is juice?
Answer:
15%
coz thats the ans
Answer:
The new punch is 62.5% juice.
Step-by-step explanation:
First we find how many cups of juice are in the punch. To do this we take 75% of 20, which is 15. We can confirm 15 is correct by doing 15 / 20 = 0.75, or 75%
Next we add four cups of water, bringing our total amount of cups to 24. We doing the last equation from above except with 24 cups instead of 20.
15 / 24 = 0.625, or 62.5%
A school organization sells T-shirts for a fundraiser. Youth sizes sell for $10 each, and adult sizes sell for $15 each. The organization sells a total of 220 shirts for $2,375. How many adult-sized T-shirts did the organization sell?
Answer:
35 adult shirts were sold
Step-by-step explanation:
10y+15a=2375
y+a=220
y=220-a
10(220-a)+15a=2375
2200-10a+15a=2375
2200+5a=2375
5a=175
a=35
35 adult shirts were sold.
If cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answer: Sin 23 = 2/5
Step-by-step explanation:
If cos 67 degrees is close to 2/5. That is, approximately,
Cos 67 = 2/5
Multiply the numerator and the denominator by 50
Cos 67 = 100/250
From trigonometry ratio,
Cos Ø = adjacent/hypothenus
Where the
Adjacent length = 100 cm
Hypothenus length = 250 cm
Po = opposite length = 100cm
If the degree = 23
The closest length will be
Sin Ø = Opposite/ hypothenus
Sin 23 = 100/250
Divide both the numerator and the denominator by 50
Sin 23 = 2/5
Answer:
40 cm
Step-by-step explanation:
If a large tree is 22 feet tall and a smaller tree is 3/4 of the larger tree's height, then how tall is the
smaller tree?
Answer:It should be 16.5 or 16 1/2.
Step-by-step explanation:
22•3/4
What is 42.8 on its standard form???
Answer:
[tex]4.28 \times 10^{1}[/tex]
Step-by-step explanation:
[tex]42.8 \times 10^0=42.8[/tex]
[tex]4.28 \times 10^{1}=42.8[/tex]
Answer:
42.8 x 10^0
Step-by-step explanation:
A. Standard Form
Ax + By = C.
A, B, C are integers (positive or negative whole numbers)
No fractions nor decimals in standard form.
Traditionally the "Ax" term is positive.
does anybody know the answer to this equation? // * ANSWER ASAP *
Answer:
radius
Step-by-step explanation:
AJ is half the distance across the circle (radius).
The points (-11, r) and (-7,5) lie on a line with slope
3
4
Find the missing coordinate r.
Answer:
r = 2
Step-by-step explanation:
Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)
m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )
5 - r = 3 ( subtract 5 from both sides )
- r = - 2 ( multiply both sides by - 1 )
r = 2
Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.
Answer:
5, 7, 9
Step-by-step explanation:
Using the information given we get:
[tex]5x-7=2z[/tex]
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]
Add 7 to both sides
[tex]5x=2x+15[/tex]
Subtract 2x from both sides
[tex]3x=15[/tex]
Divide both sides by 3
[tex]x=5[/tex]
Using these equations:
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
and
[tex]x=5[/tex]
We get:
[tex]x=5\\y=7\\z=9[/tex]
Use the following information for #18
Connor makes $120 for every 10 hours he works.
#18 How much does Connor make per hour?
Answer:
$12
Step-by-step explanation:
u do 120 divided by 10 which gives u 12 which gives u per hours
hope this helps
Help asap plzz
-3x + 7 = -8
Answer:
x=5
Step-by-step explanation:
-3x+7=-8
Bring 7 to the other side, it becomes negative
-3x=-8-7
Signs are same on rhs so u add
-3x = -8+-7= -15
Bring -3 to the other side n divide
therefore,
x=-15/-3
= +5 (two negatives become positive)
Hope it helps!
Answer:
x = 5
Step-by-step explanation:
→Subtract 7 from both sides:
-3x + 7 = -8
-3x = -15
→Divide both sides by -3:
x = 5
15 POINTS!!!
Solve 3(−3−3x)+4=−5.
The solution is x=___
Using Equations to Compare Linear Functions
Consider the function and its inverse:
f(x) =
) = x -2
-(x) = (x + 2)
The slope, a, of the inverse function is
and the x-intercept of the inverse function is at x =
Intro
Answer:
[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=\frac{x}{3}-2[/tex]
[tex]f^{-1}(x)=a(x+2)[/tex]
To find: slope, a, of the inverse function and the x-intercept of the inverse function
Solution:
Let [tex]y=f(x)=\frac{x}{3}-2[/tex]
[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]
So, [tex]f^{-1}(x)=3(x+2)[/tex]
On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]
To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]
The slope, a, of the inverse function is 3 , and the x-intercept of the inverse function is at x = -2 .
please answer this !!!!!
Answer:
The slope is -3/1.
Step-by-step explanation:
I need help due today online school sucks I only need the answer to 6 and 7
Answer:
6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,
30 glasses = x6
45 glasses = x 9
60 glasses = x 12
75 glasses = x15
= 30, 45, 60,75
But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n then 55 = 11n and stands out as 11 boxes as an offset amount of glasses where 5 are in each box.
7. Robert is incorrect as 25 x 5 = 125 and not 120
as 120 and 125 glasses can be divided to check
125/25 = 5 and could be correct if he wanted spare glasses = 1 spare box.
But when we check 120/25 = 4.8 so this would be too many boxes as he would only need 24 boxes.
24 x 5 = 120 glasses.
Step-by-step explanation:
The figure is made of rectangular prisms. What is the volume?
6 cm
15 cm
10 cm
3 cm
6 cm
3 cm
3 cm
3 cm
318 cm
225 cm
13
159 cm
Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18
Answer:
b) -185/18
Slope of the line [tex]m = \frac{-185}{18}[/tex]
Step-by-step explanation:
Explanation:-
Given two co-ordinates are
[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]
[tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]
On simplification, we get
[tex]m = \frac{-185}{18}[/tex]
Suppose the sample space for a continuous random variable is 0 to 50. If the
area under the density curve for the variable from 0 to 38 is 0.76, what is the
area under the density curve from 38 to 50?
A. 0.34
B. 0.924
C. 0.76
D. 0.24
Answer:
0.24
Step-by-step explanation:
18. Use an inequality symbol (<, >,=, s) to compare -3 +7_-10 - 2
A. s
B.>
C. =
D.<
Answer:
-3 +7 > -10 - 2
Step-by-step explanation:
Given
-3 +7_-10 - 2
Required
Compare using any of the given inequality symbols
We start by solving both sides of the inequality
- 3 + 7 _ -10 - 2
(-3 + 7) _ (-10 - 2)
(4) _ (-12)
Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);
Hence, the _ symbol can be replaced by the greater than symbol.
(4) _ (-12) can then be rewritten as
(4) > (-12) or
- 3 + 7 > -10 - 2
From the list of given options, option B is correct
What do I do that will help me remember what I should do for problems like this
What is the value of 4x- 7 when x=4?
Answer:
9
Step-by-step explanation:
4x- 7
Let x=4
4*4 - 7
16 -7
9
Answer:
9
Step-by-step explanation:
4(4)-7=16-7=9
I need help please thanks
Answer:
1/6
Step-by-step explanation:
The number 100 is decreased to 36. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
50%
Step-by-step explanation:
Factor completely 40xy2 − 36x2y. (4 points)
4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)
Answer:
4xy(10y - 9x).
Step-by-step explanation:
40xy2 − 36x2y
The Greatest Common Factor (GCF) of 40 and 36 is 4.
GCF of x and x^2 is x,
GCF of y^2 and t is y.
So GCF = 4xy.
and the factors are:
4xy(10y - 9x).
Which would be used to solve this equation? Check all that apply.
p/3=12
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution
Step-by-step explanation: Help I help
Which properties justify the steps taken to solve the system? {3x−2y=104x−3y=14 Drag and drop the answers into the boxes to match each step.
Answer:
Just took it!
Step-by-step explanation:
The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:
Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}
Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}
Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}
Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}
Therefore, the solution to the system is (x, y) = (2, -2).
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If the measure of arc AB is 50 degrees what is the measure of its inscribed angle ACB?
Answer:
87
Step-by-step explanation:
or 130. let me know if I'm wrong
If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
The measure of arc AB = 50°
The measure of its inscribed angle ACB = ?
Here, ACBP will make a quadrilateral
And, the sum of opposite angles of quadrilateral is 180°
So, ∠ACB + ∠AB = 180°
⇒ ∠ACB = 180° - 50°
⇒ ∠ACB = 130°
Hence, the measure is 130°
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What is the value of x? answers: A) 76° B) Impossible to determine C) 56° D) 62°
Answer:
C) 56 deg
Step-by-step explanation:
The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.
28 + y = 90
y = 62 deg
The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.
The sum of the measures of the angles of a triangle is 180 deg.
62 + 62 + x = 180
124 + x = 180
x = 56
Answer: C. 56 deg
A man measured his height and found 5.7 feet. However, after he carefully measured his height a second time, he found his real height to be 5 feet.What is the percent error the man made the first time he measured his height?
Answer:
percentage error = 12.28%
Step-by-step explanation:
5 x 0.14 = 0.7
5 x 1.14 = 5.7
as increase is not the same as error decrease.
We use the same numbers 12.28% = 0.1228.
5.7 x 0.1228 = 0.69996 = 12.28%
5.7 - 0.69996 = 5.00004 foot. As decrease.
And find it is correct.
His error therefore was 12.28% out.
As we work the first numbers 5.7 and can only x by a number to see 5ft
We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot. (5.00004) ft.
Answer:
14%
Step-by-step explanation:
percent error = (experimental measure - real measure)/(real measure) * 100%
percent error = (5.7 ft - 5 ft)/(5 ft) * 100%
percent error = (0.7 ft)/(5 ft) * 100%
percent error = 0.14 * 100%
percent error = 14%
3/11 x 3 1/4 Answer this question
Answer: 39/44
Step-by-step explanation:
3 1/4 = 13/4
13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44
The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.
To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.
To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.
3 1/4
= (3 x 4 + 1) / 4
= 13/4
Now we can multiply 3/11 by 13/4:
(3/11) x (13/4)
= (3 x 13) / (11 x 4)
= 39/44
Therefore, the product of 3/11 and 3 1/4 is 39/44.
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