Answer: (p/6 + q) + 8
Step-by-step explanation:
In Stephanie's carpenter shop, she made three-legged stools and four-legged chairs. She looked at her day's output and counted 55 legs and 16 seats. How many stools and how many chairs did Stephanie complete that day?
Show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem.
Answers. 230 is the answer that I got
Use grouping symbols to make each statement true 31.) 25 - 8 x 3 = 51 32.) 9 + 4 x 5 - 3 = 17
Answer:
31. (25 - 8) x 3 = 51
32. 9 + 4 x (5 - 3) = 17
Step-by-step explanation:
grouping symbols
31.) 25 - 8 x 3 = 51
(25 - 8) x 3 = 51
Do the parentheses first
17 * 3 = 51
51=51
32.) 9 + 4 x 5 - 3 = 17
9 + 4 x (5 - 3) = 17
Parentheses first
9 + 4 * 2 = 17
Multiply
9+8 = 17
Add
17=17
Mrs. Dellett took up archery as a hobby. On her first attempt, she only scored 18 points.
Every attempt after that, she increased her score by 24 points. How many points did she score on her 9th attempt?
OA. 24
OB. 198
O C. 200
OD. 210
The points scored by Mrs. Dellett on her 9th attempt is 210.
Given, Mrs. Dellett took up archery as a hobby.
On her first attempt she scored 18 points.
then every attempt after that, she increased her score by 24 points.
first attempt = 18 points
after this her score increased to 24 points on every attempt.
second attempt = 18+24 = 42
third attempt = 42+24 = 66
fourth attempt = 66+24 = 90
fifth attempt = 90 + 24 = 114
sixth attempt = 114 + 24 = 138
seventh attempt = 138 + 24 = 162
eight attempt = 162 + 24 = 186
ninth attempt = 186 + 24 = 210
Hence the option D is correct.
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I WILL GIVE BRAINLIST!!
Which postulate would prove that triangle ABC triangle DEC?
A) ASA
B) SAS
C) SSS
D) AAS
Answer:
ASA
Step-by-step explanation:
1) the angles are congruent where they intercept in blue
2) the sides that are congruent are between the two congrunet angles the blue ones and the given ones
find x, y and z HELPSS mathh
Answer:
[tex]\boxed{\sf y=37^o}[/tex]
[tex]\boxed{\sf x=74^o}[/tex]
[tex]\boxed{\sf z=25^o}[/tex]
Step-by-step explanation:
Let's first solve for y:-
*Linear pairs are supplementary angles, meaning there sum should be 180° *
[tex]\sf 2y^o+106^o=180^o[/tex]
[tex]\sf 2y=180-106[/tex]
[tex]\sf \cfrac{2y}{2} =\cfrac{74}{2}[/tex]
[tex]\boxed{\sf y=37^o}[/tex]
*Consecutive angles are also supplementary angles = 180°*
[tex]\sf x=2y[/tex]
[tex]\sf x=2(37)[/tex]
[tex]\boxed{\sf x=74^o}[/tex]
By corresponding angles,
[tex]\sf 4z+6=106[/tex]
[tex]\sf 4z+6-6=106-6[/tex]
[tex]\sf \cfrac{4z}{4} =\cfrac{100}{4}[/tex]
[tex]\boxed{\sf z=25^o}[/tex]
_____________________
Hope this helps!
Have a good day!
Philip buys a car from a friend and will pay his friend
the same amount of money each month until the car
is paid for. The following graph and table give the
amount of money in dollars Philip owes his friend, as
a function of the amount of time in months. which of the following conclusions could be made from this functional relationship?
the time to complete a bridge varies inversely with the square root of the number of people working. if 9 people can complete the job in 75 days then how long would it take 25 people?
If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.
Let T be the time and L be the Labor (Number of people working on the bridge).
T ∞ 1/√L (Inverse relationship)
T = K/√L ----------------------------- (1)
Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.
According to the question,
Time (T) = 75 days and
labor (L) = 09
From the equation (1), we get,
T = K / √L
⇒ 75 = K/√9
⇒ 75= K/3
⇒ K= 225
First, the relationship between these variables is:
T = 225/√L
Therefore, how long it will take 25 people to do it means that we should look for the time.
T=225/√L
⇒ T= 225/√25
⇒ T= 225/5
⇒ T= 45 days.
therefore, 25 people needs 45 days to complete the job.
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Jaylan makes limeade using
3
4
cup water per
1
5
cup lime juice. Wanchen makes limeade using
3
5
cup water per
1
2
cup lime juice. Find the unit rates of water (cups) per lime juice (cups). Whose limeade has a weaker lime flavor? Enter your answer as a proper fraction or a mixed number. jaylans contains how many cups of water per lime juice
The unit rate of the number of cups of water per cup of lime juice are;
Jaylan;
Unit rate is 2.2[tex]\overline 6[/tex] cups of water per cup of lime juiceWanchen;
Unit rate is 2.91.[tex]\overline {6}[/tex] cups of water per cup of lime juiceWhat is a unit rate?Unit rate indicates the rate of an item for a quantity of one of another item such that when the quantitative relationship is expressed as a ratio, the denominator will be one.
The content of limeade Jaylan makes are;
34 cup water for every 15 cup lime juiceThe ingredient of the limeade Wanchen makes are;
35 cups of water per 12 cups of lime juiceThe unit rate of water (cups) per lime juice (cups) is therefore;
Jaylan; 34 cups of water for every 15 cups of lime juice
Therefore;
34/15 cups of water for 1 cup of lime juice
34/15 = 2.2[tex]\overline 6[/tex]
The unit rate of the drink Jaylen makes is 2.2[tex]\overline 6[/tex] cups of water per cup of lime juice
Wanchen; 35 cups of water per 12 cups of lime juice
Therefore;
35/12 cups of water per cup of lime juice
35/12 = 2.91[tex]\overline{6}[/tex]
The unit rate is 2.91[tex]\overline 6[/tex] cups of water per cup of lime juice
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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
The polynomial function with third degree, zeros of −3, −1, and 4, and a y-intercept of −13 is y = -13/12 (x³ - 13x + 12)
Polynomial function:
polynomial function means a functions of single independent variables, in which variables can occur more than once, raised to an integer power.
Given,
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
And we need to construct a polynomial function with the stated properties and reduce all fractions to lowest terms.
We know that the standard form for the third degree polynomial function is written as,
=> y = K (x + zeros1) (x + zeros2) (x + zeros3)
The third degree, zeros of the function is -3, -1 and -4.
Now, we have to apply it on the general form,
=> y = K (x -3) (x - 1) (x + 4) ----------------------(1)
Here we know the value of y intercept is -13 then the value of x is 0.
So, it can be written as,
=> -13 = K(0 - 3) (0 - 1) (0 + 4)
=> -13 = K (12)
Therefore, the value of K = -13/12
Now, apply the values on the equation (1), then we get,
=> y = -13/12 (x -3) (x - 1) (x + 4)
Therefore, the third degree polynomial function is,
=> y = -13/12 (x³ - 13x + 12)
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a certain type of equipment is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilograms. how is the variance of the sample mean changed when the sample size is (a) increased from 64 to 196? (b) decreased from 784 to 49?
According to the central limit theorem, given a population with mean μ and standard deviation σ, if a suitably large random sample (n ≥ 30) is drawn from the population with permutation, the distribution of the sample mean will be approximately normally distributed. Standard Error is known to be the square root of the variance. if a given variance increases, so its standard error also.
Then the mean of the sample mean is given by
[tex]\mu_ {x} =\mu[/tex]
and the standard deviation of the sample mean is given by
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} }[/tex]
The standard deviation of the sample mean is inversely proportional to the sample size n
so if n increases, the standard deviation decreases and vice versa.
(a) Sample size increased from 64 to 196.
As mentioned above, the standard deviation decreases as the sample size increases.
Therefore, increasing the value of n from 64 to 196 reduces the standard deviation of the sample mean.
n = 64 sample mean standard deviation:
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} } \\\sigma_{x} = \frac{\ 5.6}{\sqrt{64} } \\\\\sigma_{x} = 0.7[/tex]
n = 196 sample mean standard deviation:
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} } \\\sigma_{x} = \frac{\ 5.6}{\sqrt{196} } \\\\\sigma_{x} = 0.4[/tex]
sample mean standard deviation decreased from 0.7 to 0.4 n was 64 When it increased to 196.
Therefore the variance is also decreases.
(b)
decreace the sample size, increase the standard deviation.
Therefore, as the value of n decreases from 784 to 49, the standard deviation of the sample mean increases.
Standard deviation of sample mean for n = 784:
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} } \\\sigma_{x} = \frac{\ 5.6}{\sqrt{784} } \\\\\sigma_{x} = 0.2[/tex]
Standard deviation of sample mean for n = 49:
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} } \\\sigma_{x} = \frac{\ 5.6}{\sqrt{49} } \\\\\sigma_{x} = 0.8[/tex]
Standard deviation of sample mean increased from 0.2 to 0.8 while, n increased from 784 Then 49 decreases.
Therefore, the variance is also increases.
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6. In parallelogram ABCD find m¿A. (G.CO.11)
D
B. 70°
C. 110°
D. 200°
A
(6x +20)°
(4x+10°
6
Answer: b
Step-by-step explanation:
The rectangular floor of a classroom is 26 feet in length and 28 feet in width. A scale
drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the
floor in the scale drawing?
x² - 10x = 100
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
Show your working
Answer
Answer:
16.2
Step-by-step explanation:
16.18034 to 1 decimal place = 16.2
If it 2 decimal place =16.18
Annika’s older sister cousin borrowed 800$ to repair her car she will pay off the loan after 2years by paying back the principal plus 4.5% simple interest for each year. How much will she pay in interest?
Answer:
Step-by-step explanation:
she will pay $80 in interest.
Lily ordered a replacement part for her
desk. It was shipped in a box that
measures 4 in. by 4 in. by 14 in. What is
the greatest length in whole inches that
the part could have been?
Thus the largest length is 15 inches
Size (l) is 14 inches.
Size (w) = 4 inches.
Height is 4 inches (h).
The distance between one bottom corner and the opposite top corner is known as d. Find s, the diagonal across the bottom of the box, first.
[tex]w^2 + l^2 = s^2[/tex]
Replace the prescribed measures.
[tex]4^2 + 14^2 = s^2[/tex]
Simplify.
[tex]16 + 196 = s^2[/tex]
[tex]21^2= s^2[/tex]
To determine d, use the expression for s.
[tex]h^2 + s^2 = d^2[/tex]
Plug in s2 = 212 and h = 4.
4^2 + 21^2 = d^2
Simplify.
16 + 21^2 = d^2
228 = d2
On both sides, take the square root.
√228 = √d2
15.1 ≈ d
Therefore, the part's maximum possible length was 15 inches.
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Situation:
A farmer in China discovers a mammal
hide that contains 30% of its original
amount of C-14.
N = Noe-kt
No inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k
= 0.0001
t = time, in years
Find the age of the mammal hide to the
nearest year.
Enter the correct answer.
DONE
The age of the mammal is 3567 years.
Change the given numbers' letters in the equation to match:
N ="NOekt"
N-amount following t years
If not, the initial sum
K=0.0001t, where t=the number of years
Change the given numbers' letters in the equation to match:
0.70 = 1 * e^-0.0001t
Consider the two sides' logarithms:
t = -0.1549 / (-0.0001 * 0.43429) log0.70 = loge-0.0001t -0.1549 = -0.0001t * 0.43429 t = 3566.74
The age is 3,567 years, rounded to the nearest year.
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Mrs Tan worked at a jewellery shop and sold a gold bracelet. If she wanted to make a profit of 52%, she would need to sell the bracelet at $1216. How much profit would she get if she sold it at $2012?
If she sold the gold bracelet at $2012, the profit would be $1212
Let original price of the gold bracelet be x
Mrs Tan wanted to make a profit of 52%
The selling price would be $1216
Selling price = x + 52% of x
1216 = x + (52/100)x
1216 = 152/100x
x = 1216(100/152)
x = 800
The original price is $800
The price at which she sells the gold bracelet is 2012
Profit = selling price - original price
= 2012 - 800
= 1212
Therefore, if she sold the gold bracelet at $2012, the profit would be $1212
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determine the relative displacement of one end of the tapered plate with respects to the other end when it is
The relative displacement of the given case is δ = [tex]\frac{ph}{Et(d2-d1)}ln(\frac{d2}{d1} )[/tex]
Given;
To get the axial load-related relative displacement of one end of the tapered plate concerning the other end.
Let 'd' be the displacement;
We know,
[tex]w = d1 + \frac{(d2-d1)x}{h} = \frac{d1h+(d2-d1)x}{h}[/tex]
To calculate the relative displacement;
δ = [tex]\int\limits {\frac{p(x)}{A(x)E} } \, dx =p/E \int\limits {\frac{1}{\frac{d1h+(d2-d1)x}{h}t } } \, dx[/tex]
δ = [tex]ph/Et\int\limits^h_0 {\frac{dx}{d1h+(d2-d1)x} } \,[/tex]
δ = [tex]\frac{ph}{Et(d2-d1)}[ln(1+\frac{d2-d1}{d1}) ][/tex]
δ = [tex]\frac{ph}{Et(d2-d1)}ln(\frac{d2}{d1} )[/tex]
Therefore, the Relative displacement of the given case is δ = [tex]\frac{ph}{Et(d2-d1)}ln(\frac{d2}{d1} )[/tex]
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A certain fraction, if reduced, is equal to ⅘. If 3 is added to the numerator, the new fraction is equal to 1. What is the fraction?
Let x = numerator
Let y = denominator
Answer: x = 12, y = 15
Step-by-step explanation: 12/15 reduces to 4/5 because 12 divided by 3 is 4 and 15 divided by 3 is 5. 12 + 3 is 15 so if you add 3 to the numerator, you get 15/15, which is equal to 1.
the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 118 chips. determine the 28th percentile
The 28th percentile for the number of chocolate chips in the bag is 1192.206
To determine the 28th percentile for the number of chocolate chips in the bag, we find the z-score for the 28th percentile.
Found using a z-table or z-calculator, the z-score for the 28th percentile is -0.583
The formula for finding X (the number of items in a given percentile) is:
X = M + Z(S.D.)
Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.
So for the 28th percentile,
X = 1261 + (-0.583)(118)
X = 1261 - 68.79 = 1192.206
Hence the 28th percentile id 1192.206
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Jina is riding on a bike course that is 40 miles long. So far, she has ridden 16 miles of the course. What percentage of the course has Jina ridden so far?
Answer:40%
Step-by-step explanation: Take 16 divided by 40 and you get .04, which equals 40 percent. Another way to think about it is this way: if 40 miles is the total distance, every 4 miles is 10% of the total. So 16 has to be 40%.
whats the answer to this
A Linear equation in point slope form using the first point 3/4h , 9 in that can be used to determine the level of chocolate syrup in dispenser after x hours is y = -4x + 12 .
In the question ,
it is given that
in 3/4 hours the the level of chocolate syrup was 9 inch ,
So , the first point is (3/4,9) .
in 5/4 hours the level of chocolate syrup in the dispenser was 7 inch .
So , the second point is (5/4,7)
to find the linear equation we first need to find the slope .
Slope = (7-9)/(5/4-3/4)
= -2/(2/4)
= -4
So , the equation in slope intercept form having point (3/4 , 9) and slope -4 is .
(y - 9) = -4(x - 3/4)
y - 9 = -4x + 3
y = -4x + 3 + 9
y = -4x + 12
Therefore , The linear equation is y = -4x + 12 .
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e trigonometry to work out the size of
angle x.
Check the picture below.
[tex]tan(x) =\cfrac{\stackrel{opposite}{10}}{\underset{adjacent}{4}}\implies tan(x)=\cfrac{5}{2}\implies x=tan^{-1}\left( \cfrac{5}{2} \right)\implies x\approx 68.20^o[/tex]
Make sure your calculator is in Degree mode.
Determine whether each ordered pair is a solution of the inequality. x+2y>10
The ordered pair of a solution of the inequality are (10, 0) and (0, 5).
The given inequality is x+2y>10.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Graph the inequality by finding the boundary line, then shading the appropriate area.
The solution of the inequality is (10, 0) and (0, 5).
Hence, the ordered pair of a solution of the inequality are (10, 0) and (0, 5).
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PLEASE HELP FAST
the question is on the screenshot
Answer:
Since 1 scoop of ground coffee makes 1 cup of coffee, Andy can make 24 cups of coffee from the jar.
Step-by-step explanation:
2. A line goes through the points (2,10) and (-2,4).
(a) What is the slope of the line? Show your work
(b) Write the equation of the line in point-slope form using the point (2, 10). Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.
The slope of the line is 3/2, Equation of the line in point-slope form ( y - 10) = 3/2 (x-2), and The equation of the line in slope-intercept form
y = (3/2) x - 13
How do you find equation of a line?Using the slope formula, calculate the slope. To find the y-intercept (b), use the slope and one of the points.
Once you know the values for m and b, you can enter them into the slope-intercept form of a line (y = mx + b) to derive the line's equation.
Therefore,
A line goes through the points (2,10) and (-2,4).
Slope = (y2-y1)/(x2 -x1)
= (4 - 10) / (-2 - 2)
= -6/-4 = 3/2
The equation of the line in point-slope form using the point (2,10)
Slope = 3/2
equation of the line in point slope form :
(y - y1) = m (x -x1)
(y - 10) = 3/2 (x-2)
y = mx + c
Simplifying the above equation, then we get
2 = 3/2 × 10 + c
c = 2 - 15
c = -13
equation of the line is
y = (3/2)x - 13
2y = 3x - 26
the slope-intercept equation of the line
y = (3/2) x - 13
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[tex]\frac{x}{3}[/tex]=4.5
Answer:
Step-by-step explanation:
Ok:
1. First write as equation!
x/3=4.5
2. Isolate the variable on the left side. Remember if a variable or number goes over equal sign, it becomes opposite
x/3=4.5
x=4.5*3
x=13.5
3. Double Check as always!!
13.5/3= 4.5
TRUE
Answer: 13.5
Answer:
13.5 is the answer ..hopefully this helps
Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism 10cm wide by 12 cm long. The rock displaces 1800cubed (3)
How high is the rock?
The height of the block that has dimensions of 10 cm and 12 cm and a volume of 1,800 cubic centimeters is 15 cm
What is the volume of a rectangular prism?A rectangular prism is a figure that has six faces that are rectangles.
The dimensions of the rock are;
Width of the rock = 10 cm
Length of the rock = 12 cm
Volume displaced by the rock = 1,800 cubic centimeter
Height of the rock = Required
Let h represent the height of the rock, we get;
Volume of a rectangular prism, V = Length × Width × Height
Volume of the rock = 10 × 12 × h = 1,800
h = 1,800 ÷ (10 × 12) = 15
Where the volume of the rock is 1,800 cubic centimeter, the height of the rock is 15 centimeters
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I need help with this please
Answer:
D
Step-by-step explanation: 5 are crossed rows by 3 and then 7 by 5 are shaded in and than is 2 different numbers in together multiplied equals 1.500 which is D
1. A car is 180 inches long. A truck is 90% longer than the car. How long is the truck?
€ 1611
Sund 19 x6m 19rito
lliw doum wodazis1 101A
A. 162 inches
B. 260 inches
sing erit, fi joi ysą of Inow ode nodW SS2 is bssing aaw tedi allendmu ns triguod
101
esw isdi
C. 342 inches
Azi xst 29162 TOP vd batnyp
went Christmas shopping. Her total was $150. She has a coupon for 40%
D. 360 inches
Stavoms Inuopeib 19d asw fedW
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Using the percentage, the truck is 342 inches long. So the option C is correct.
In the given question we have to find the length of the truck.
As given that, a car is 180 inches long.
A truck is 90% longer than the car.
The length of the car is 180 inches.
Truck is longer than the cars is 90%.
So the length of the truck = 180+180*90%
The percentage represent in the ratio of 100.
So the length of the truck = 180+180*90/100
Simplifying
The length of the truck = 180+162
The length of the truck = 342
Hence, the truck is 342 inches long. So the option C is correct.
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