Answer:
59
Step-by-step explanation:
x+(x-9)+(x+12)=180
3x+3=180
3x=177
x=59
Question 6 (1 point) Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 400 ft? of fabric. What are the possible side lengths of the tablecloth? A. 11 ft x 11 ft B. 11 ft x 2 ft C. 60.5 ft x 2 ft D. 60.5 ft x 60.5 ft
The required possible side length of the tablecloth is 11ft x 11ft.
What is the square?
A square is for sided regular polygon, where the length of all sides is identical and the angle between the adjacent side is 90°.
Given the following parameters
Area of fabric =121 ft² of fabric.
She wants to make a square tablecloth for her dining room table.\
Area of the square = a²
121 = a²
a = √121
a = 11 ft
Thus, the required possible side length of the tablecloth is 11ft x 11ft.
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pls help me on algebra here is screenshot
Answer:
The answer to the question provided is option 2.
Matemáticas resolver problemas
Sheena receives change of $7.55 after paying $20 bill.
How much is the change Sheena receives?Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.
Therefore,
Sheena buys three items, one sandwich and two pretzels.
Given the rate of sandwich = $6.95
Rate of pretzels = $2.75 each
So rate of two pretzels = $2.75 x 2 = $5.5
Total amount paid = $20
To find the change she receives ,
Total payment paid - total amount of items
Total amount for items = $6.95 + $5.5
= $12.45
Change receives = $20 - $12.45
= $7.55
Therefore the change Sheena receives is : $7.55.
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Olivia picked 1,005 from the orchards bushes she divided them evenly to 8 baskets. How many are in each baskets? How many are left over?
Answer:
124, 3 left over
Step-by-step explanation:
Answer:
oh man dat aint gon fit she gonna have to buy more baskets
Step-by-step explanation:
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
Two students, Claude and Diane, were asked to use synthetic division and the Remainder Theorem to find the value of f(2) given f(x)=2x^3+5x−6. Their work is shown here.
Claude's Work 2−−|220445813−626|20
Diane's Work 2−−|220−4−45813−6−26|−32
Part A: Which student correctly used synthetic division to find f(2)?
Part B: What is the value of f(2)?
Part C: Is x−2 a factor of 2x3+5x−6? In other words, is x=2 a zero of f(x)?
Part D: What are all the methods that can be used to find out if x−2 is a factor of 2x3+5x−6?
Answer:
Step-by-step explanation:
Part A
In applying the synthetic division, the polynomial would be fully expressed as
2x³ + 0x² + 5x - 6
The coefficients are 2, 0, 5 and - 6
The working becomes
2| 2 0 5 -6
4 8 16
2 4 13 10
The student that correctly used synthetic division to find f(2) is Claudia
Part B
The value of f(2) is
2(2)^3+5(2) - 6
= (2 × 8) + 10 - 6
= 16 + 10 - 6 = 20
Part C
x - 2 is not a factor of 2x³ + 5x - 6 because there is a remainder of 20.
Part D
The methods that can be used to find out if x - 2 is a factor of 2x³ + 5x - 6 are synthetic division, long division, remainder theorem
Solve for x . − 9 x + 2 > 18 AND 13 x + 15 ≤ − 4
Answer:
x<−
9
--
16
and x≤−
13
--
19
Step-by-step explanation:
Jorge heard that as a general rule, he should save at least 10% of his take-home pay. If Jorge’s take-home pay is $2950 per month, what is the minimum amount per year that he should save?
Answer:
$295
Step-by-step explanation:
2950 · 0.10 = 295
someone help me please
PLZ HELP ILL MARK BRAINLIEST!!!
A football player lost 20 yards on the first play. On the second play, he gained 12 yards. How many yards ahead or behind is he from where he started? (Hint: draw yourself a number line to visualize this problem)
The football player is 8 yards behind
If you wanted to do a number line you could start from 0 - 20 and count down 12 yards. the remaining pegs you have left are what it is. so 8 yards.
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Liam is currently twice as old as Sally. 4 years ago, Liam was three times as old as Sally. How old is Liam now?
Answer:
16
Step-by-step explanation:
L = 2 * S
L-4 = (S-4) * 3
L-4 = 3S - 12
L = 3S - 8
2S = 3S - 8
-S = -8
S = 8
L = 16
Answer:
16
Step-by-step explanation:
Write the ratio for sin A.
sin A =
(Type an integer or a simplified fraction.)
The calculated ratio for the sine the angle A has its value to be 8/17
Writing the ratio for sin A.The ratio for sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
This ratio is commonly denoted as sin(θ), where θ is the angle of interest.
Mathematically, we can express this as:
sin(θ) = opposite / hypotenuse
Using the above, we have
opposite = 8
hypotenuse = 17
So, we have
sin(A) = 8/17
Hence, the ratio is 8/17
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Find the area of the rectangle on this centimetre grid.
Answer:
A = 35 cm²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
by counting the squares on the sides
length = 7 cm and width = 5 cm , then
A = 7 × 5 = 35 cm²
Need help finding the parallel and perpendicular slope
Answer:
Step-by-step explanation:
(x₁, y₁) = (19 , -4) & (x₂ ,y₂) = (17, -20)
\(Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(= \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8\)
m = 8
Parallel lines have same slope.
Parallel slope = 8
Slope of perpendicular line = \(\frac{-1}{m}\)
Perpendicular slope = \(\frac{-1}{8}\)
Evaluate the expression when c=4 and y=-5.
C-8y
Refer to the attachment.
\(\huge\text{Hey there!}\)
\(\large\textsf{c - 8y}\\\large\text{= -4 - 8(-5)}\\\large\text{= -4 - (-40)}\\\large\text{= -4 + 40}\\\large\text{= 36}\\\\\large\boxed{\text{Therefore, your answer: 36}}\huge\checkmark\\\\\large\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}\)
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
y-5x 7x + xy x = 0 and y = 4
Answer:
x(7y)x(7y)
Step-by-step explanation:
The given expression: 7(xy)7(xy)
i.e. a product of 7 and xy.
The operation used here: Multiplication.
Commutative property of multiplication :-
a\times b=b\times aa×b=b×a for any numbers a and b.
Associative property of multiplication :-
a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.
Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]
=(x7)y=(x7)y [Commutative property of multiplication]
=x(7y)=x(7y) [Associative property of multiplication]
Kemani Walker
Law of Sines
Jun 15, 9:29:00 PM
?
In ATUV, t = 820 inches, m/U=132° and m2V=25°. Find the length of u, to the
nearest inch.
Answer: u =
Submit Answer
The length of u, to the nearest inch, is 1818 inches.
To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.
In this case, we'll use the following formula:
a/sin(A) = b/sin(B) = c/sin(C)
Let's label the sides and angles of the triangle:
Side a = u (length of u)
Side b = t (820 inches)
Side c = v (length of v)
Angle A = m/U (132°)
Angle B = m2V (25°)
Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)
Now, we can use the Law of Sines to set up the equation:
u/sin(A) = t/sin(B)
Plugging in the given values:
u/sin(132°) = 820/sin(25°)
To find the length of u, we'll solve this equation for u.
u = (820 \(\times\) sin(132°)) / sin(25°)
Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:
u ≈ (820 \(\times\) 0.9397) / 0.4226
u ≈ 1817.54 inches
Rounding to the nearest inch, we have:
u ≈ 1818 inches
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Water flows through a pipe at a rate of 9 quarts every 3.5 years. Express this rate of flow in cups per day. Round your answer to the nearest hundredth.
Find the slope between points (4,-5) and (5,-1)
Answer:
4
Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4
Jen's mother bought 45 pound of New England cherries for $245. How much would it cost her (in dollars) to buy one pound of New England cherries?
Answer:
Step-by-step explanation:
45 pounds cost 245 dollars
1 pound costs x
Set up a proportion
45/1 = 245 / x Cross Multiply
45x = 245 Divide by 45
45x/45 = 245/45
Answer x = $5.44
Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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3x+2=11 what is the answer
x = 3
Step-by-step explanation:Hi there !
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3
Good luck !
Here are some fractions. One of them is not equivalent to three tenths. Which fraction?
A. 6/20
B. 12/40
C. 30/100
D. 15/60
E. 24/80
Answer:
D. 15/60
Step-by-step explanation:
The equivilent fractions to 3/10 are:
3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200...
Here is the website you can find that: https://coolconversion.com/math/equivalent-fractions/__3/10_
15/60 is not on there.
Hope this helped you!!!A tree is standing next to a 80 foot high building. At the same time of day, the tree has a 36 foot shadow, while the building has a 32 foot shadow. How tall is the tree rounded to the nearest foot?
A: 80 feet
B: 72 feet
C: 90 feet
D: 25 feet
Answer:
A, 80
Step-by-step explanation:
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
The probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
What is probability?
Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1.
To find the probability that a randomly selected adult has an IQ between 93 and 117, we need to standardize the distribution using the z-score formula, and then find the area under the normal distribution curve between those two z-scores.
The z-score formula is:
z = (x - μ) / σ
where x is the IQ score we are interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
For the lower bound of 93, the z-score is:
z = (93 - 105) / 20 = -0.6
For the upper bound of 117, the z-score is:
z = (117 - 105) / 20 = 0.6
Now, we need to find the area under the normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this probability. Using a calculator, we can use the normalcdf function:
normalcdf(-0.6, 0.6, 0, 1)
This gives us a probability of 0.6827.
Therefore, the probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
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Based on the information marked in the diagram, AABC and ADEF must be
congruent.
A
O A. True
O B. False
Answer:
B. false
Step-by-step explanation:
they might be congruent.
the answer is based on the question of the given information is sufficient, so that they MUST BE congruent.
no, the given information is not sufficient.
we need at least 3 pieces of information to be sure.
like
the lengths of all 3 sides (SSS).
or 2 angles and the length of their enclosed side (ASA).
or 2 sides and the size of their enclosed angle (SAS).
or other corresponding pieces of information.
here we have only 2 pieces of information :
1 side and 1 angle.
e.g. EF could be a tiny little bit shorter than BC. we could not see that in the graph but the would not be congruent.
I need help with this
Answer:
(x -14)² +(y -7)² = 1²
Step-by-step explanation:
You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.
Equation of a circleThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...
(x -14)² +(y -7)² = 1²