Answer:
x = 4
Step-by-step explanation:
-6x + 4 = -20, Subtract 4 on both sides
-6x = -24, Divide -6 on both sides
x = 4
Help Me Please. and I will help you
Answer:
[tex]AB = 8.38[/tex]
Step-by-step explanation:
Given
[tex]AC = 9[/tex]
[tex]BC =10[/tex]
[tex]\angle B = 52[/tex]
Required
Determine AB
This question will be answered using the cosine law.
[tex](AB)^2 = (AC)^2 + (BC)^2 - 2(AC)(BC)\ \cos \angle B[/tex]
Substitute the expected values
[tex](AB)^2 = 9^2 + 10^2 - 2 * 9 * 10 * cos(52)[/tex]
[tex](AB)^2 = 81 + 100 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* 0.6157[/tex]
[tex](AB)^2 = 70.174[/tex]
Take square roots of both sides
[tex]AB = \sqrt{70.174[/tex]
[tex]AB = 8.38[/tex] -- approximated
5/6 × 1/5= 1/6. How the answer came 1/6? Explanation needed.
Answer:
see below
Step-by-step explanation:
5/6 × 1/5= 1/6
Rewrite the fractions
5/5 * 1/6 = 1/6
1 * 1/6 = 1/6
1/6 = 1/6
Answer:
below
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{5} [/tex]
divided 5 by 5
[tex] 5 \div 5 = 1 [/tex]
multiply 1 by 1/6
[tex] 1 \times \frac{1}{6} [/tex]
hence,
[tex] = \frac{1}{6} [/tex]
How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0
Answer:
Following are thew solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]
n = the number of work cycles for 95 confidence interval
z-score = 1.96
So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]
[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]
[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]
[tex]= 8.342943396\\\\[/tex]
[tex]n = 69.6047045[/tex]
[tex]= 70[/tex]
Using the sample size formula, the number of samples required is 919.
Standard deviation, σ = 0.376From the data given :
Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376Using the sample size relation thus:
[tex] n = (\frac{T_{critical}σ}{E})^{2}[/tex] E = Margin of Error = 5% = 0.05Tcritical at 99%, df = 5 = 4.032 (T distribution table)Substituting the values into the equation :
[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]
[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]
Hence, the sample size required is 919.
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In the figure, if the measure of ∠1 = 112o, what's the measure of ∠12?
Answer:
the measure of angle 12 is 68degrees
100 Points and Brainliest to whoever helps me!
Answer:
thirsty
Step-by-step explanation:love pionts
What is the equation of the line that passes through the points (0,-7) and (5,-1) put your answer in fully reduced form
Answer:
the answer is y=6/5x-7
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-(-7)/5-0
m=6/5
y-y=m(x-x¹)
y-(-1)=6/5(x-5)
y+1=6/5x-6
-1 -1
y=6/5x-7
y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5
Answer:
8.75
Step-by-step explanation:
7/4 = 1.75 and ?/5 (5x1.75) = 8.75
Which of the following systems of equations is an example of one where substitution is the best method?
A.)5x+3y=15
-3x+6=12
B.)y=2/7y+11
3x-4y=-24
C.)4x-5y=20
-6x+2y=-42
D.)x=4
Y=11
Answer:
B
Step-by-step explanation:
B is the best example where substitution is the best method since you already have one where y = something and you can plug -2/7x + 11 into the bottom equation for y and solve it that way. A and C make you get x or y by itself first first substitution would work and D already gives you the answers. B is the best since its already set in that format.
why can you use fraction multiplication to check the answer to a fraction division problem? How do you use multiplication to check a division problem
Answer:
Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.i hope this helps:)
Please help, solve a and b
Answer:
AE and BD use the same lines for both triangles so the angles for C are the same. this means that all the angles are congruent between both triangles.
Step-by-step explanation:
Answer:
The distance across the river d=175ft
Step-by-step explanation:
As◇ ABC& ◇ EDC are similar, BC/CD=AB/ DE
4x/7x=100/d
d=100×7/4=175
What’s 4x4x2-4 in a fraction over 2
The result as a fraction of 2 will be 58/2
What are fractions?Fractions are ratio of two integers. For instance, the ratio of a to b is expressed as a/b
Given the expression 4x4x2-4, this can be further expressed as:
4x4x2-4
= (4^2*2) - 4
= (16 * 2) - 4
= 32 - 4
= 28
Expressing the result as a fraction of 2 will be 58/2
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At Hearth and Home the price for 2 candles is $8.00. At Homeland the price for 3 candles is $15.00. How many dollars will you save if you buy 6 candles from Hearth and Home instead of Homeland?
Answer:
answer is 6
Step-by-step explanation:
hard to explain but you have to find the price of 1 candle
Help me with this question Pleaseee
Answer:
The answer is 81°
Step-by-step explaination:
To start, the top right angle and the bottom left angle are alternate interior angles, making them congruent. The same justification goes for the angles in the top left and bottom right. With this in mind, 37° + 44° = 81°. Every triangle's angles always add up to 180°, meaning that 180° - 81° = 99°. Because angle n and the angle we just found to be 99° are supplementary, they also add up to 180°, therefore 180° - 99° = 81° which is the value of angle n.
What is the measure of angle A in the triangle?
Answer:
Angle A = 50°
Step-by-step explanation:
(2x - 10) + (x + 30) + 70 = 180
3x = 180 + 10 - 30 - 70
3x = 90
x = 90/3
x = 30
A = 2x -10
A = (2 * 30) - 10
A = 60 - 10
A = 50
The function g is defined by the following rule. g(x) = 5x +1
The table for the function is,
x -3 -2 1 4 5
g(x) -14 -9 6 2 26
What is a function?A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given a function g(x) = 5x + 1
to find the values of g(x) for given values of x
when x = -3
g(x) = 5x + 1
g(-3) = 5(-3) + 1
g(-3) = -14
when x = -2
g(-2) = 5(-2) + 1
g(-2) = -9
when x = 1
g(1) = 5(1) + 1
g(1) = 6
when x = 4
g(4) = 5(4) + 1
g(4) = 21
when x = 5
g(5) = 5(5) + 1
g(5) = 26
Hence the values for g(x) are -14, -9, 6, 21, and 26 respectively.
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you buy 11 bagels with a 20$ bill how m if change do you receive? how many bagels could you buy?
Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to of its height to prevent spills.
What is the approximate volume of water in Anju's cup?
Answer:
V = 167.55
Step-by-step explanation:
V = pir^2 h/3
V = pi(4)^2 (10/3)
The approximate volume of water in Anuj's cup is 42 cubic cm.
What is volume?Volume is a measure of capacity that an object holds.
Formula for finding the volume of cone
volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]
where,
r is the radius of cone
h is the height of cone
π = 3.14
According to the given question
paper cups are of the shape of cone.
and,
diameter = 8cm
⇒ radius = [tex]\frac{8}{2}[/tex] = 4cm
the approximate volume of water in cup = [tex]\frac{1}{3} \pi r^{2} h[/tex]
=[tex]\frac{1}{3}[/tex]×[tex]2^{2}[/tex]×π×10
=[tex]\frac{1}{3}[/tex]×4×3.14×10
= 41.86 = 42 cubic cm.
Hence, the approximate volume of water in Anuj's cup is 42 cubic cm.
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write an equatiob of line in slope intercept from passing through (-10,-8) and parallel to y=1/5x-3
I’ll give brainlest I don’t know the answer:/ someone help bruh
Answer:
(4,2)
Step-by-step explanation:
its where the point intersects which is (4,2)
Hannah is working two summer jobs, making $18 per hour lifeguarding and $9 per hour clearing tables. Last week Hannah worked twice as many hours clearing tables as she worked hours lifeguarding hours and earned a total of $144. Graphically solve a system of equations in order to determine the number of hours Hannah worked lifeguarding last week, x,x, and the number of hours Hannah worked clearing tables last week, yy.
Step-by-step explanation:
18/hour life guarding and 9/hour clearing tables. so 9 divided by 144 gives you ur hours then u just divide by 2 to get life guarding hours pls tell me if u need help
hi i’m bad a math so if you could please solve this thx 5/6 - ( 1/8 * 3/4)
Answer:
71/96 = 0.73958
Step-by-step explanation:
The first one is the answer the second one is that in decimal form
Answer:
the answer is equals to
71/96
Grade 6 - End of term assessment
Question 7
A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is
9 feet in length. What is the greatest number of 15-inch pieces the seamstress
can cut from 5 of these rolls of ribbon?
Show your work.
Answer:
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Step-by-step explanation:
Given
Total length of one roll of ribbon = 9 feet
As the pieces have to be cut into inches, we will convert the measurement in feet to inches
As there are 12 inches in one feet, 9 feet will be equal to:
9*12 = 108 inches
Now first of all, we have to see how many 15 inches pieces can be cut from one role
So,
[tex]=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2[/tex]
So the seamstress can cut 7 15-inch long pieces from a roll.
Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:
[tex]= 5 * 7 =35[/tex]
Hence,
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
I have 86 chocolate chip cookies and 42 sugar cookies what is the greatest number of identical packages that I can make
Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.
Write an equation for the line that passes through the point -3,2 and is parallel to line 4X + 2Y= -10
9514 1404 393
Answer:
2x +y = -4
Step-by-step explanation:
The equation of the given line can be simplified by dividing all of the numbers by 2:
2x +y = -5
The parallel line can have the same coefficients of x and y, but will have a different constant. The constant will be appropriate to the given point, so will be ...
2x +y = constant
2(-3) +(2) = constant = -6 +2 = -4
The parallel line is ...
2x +y = -4
Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. His sister says that at that price, each drink would cost just over $2.00. Is she correct, and how do you know? If she is not, how would Devon’s sister find the correct unit price?
Answer:
Step-by-step explanation:
Devon's sister is incorrect.
Note 6 drinks thats cost $2.99
2.99 divided by 6 is $0.50
Thus each drink is approx. $0.50
She would find it if she divided total number of drinks by the total price
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x 2) true?
Answer:
[tex]x = -56[/tex]
Step-by-step explanation:
Given
[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]
Required
Find x
[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]
Open brackets
[tex]0.75x + 15 = 2 + 0.5x - 1[/tex]
Collect Like Terms
[tex]0.75x - 0.5x = 2 - 1 - 15[/tex]
[tex]0.25x = -14[/tex]
Solve for x
[tex]x = -\frac{14}{0.25}[/tex]
[tex]x = -56[/tex]
StartFraction 2 Over n EndFraction = two-thirds
a.
n = 30
c.
n = 3
b.
n = three-fourths
d.
n = 1 and one-third
Answer:
3 Kfc
Step-by-step explanation:
2/3 times 9/2 is 18/6 which gives you 3
PLEASE HELP I GOT 5 MINUTES!!!
Put each equation in slope-intercept form (y = mx + b)
y = 2(x− 3) + 1
Answer:
y = 2x - 5
Step-by-step explanation:
[tex]y = 2(x− 3) + 1 \\ \\ y = 2x - 6 + 1 \\ \\ y = 2x - 5 \\ [/tex]
What is the rate change of the linear function that has a graph that passes through the points (2,9) (-1,3)
The linear function is y = 3x + 6. Then the rate of change of the linear function will be 3.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The linear equation that is passing through the points (2,9) and (-1,3).
Then we have
y - 3 = [(3 - 9)(-1 - 2)] (x + 1)
y - 3 = (-6) / (-2) (x + 1)
y - 3 = 3x + 3
y = 3x + 6
Then the rate of change of the linear function will be
y' = 3
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Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis? They are diameters of concentric circles. They share the same midpoints. They are perpendicular to each other. They share the same endpoints.
Answer:I am pretty sure the answer is
C. "They are perpendicular to each other."
Step-by-step explanation:
For a shape to be reflected, it must be reflected across a line.
The true statement about the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other
Given that:
Shape: rectangle LMNOReflection line: x-axisWhen the shape is reflected across the x-axis, we have the following perpendicular and congruent lines
L x-axis and L' x-axis M x-axis and M' x-axis N x-axis and N' x-axis O x-axis and O' x-axisHence, the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other
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