Answer:
4.75 per T-shirt
Step-by-step explanation:
Divide 14.25 by 3
X-8-3X-10
Use distributive property
Answer:
5x-10
Step-by-step explanation:
8x-3x-10
first you subtract 3from 8 and get 5 just add the x so your left with 10
Answer:
-2(x+9)
Step-by-step explanation:
x-8-3x-10
-4x-18
-2(x+9)
Hope it helps you
Each of 16 students measured the circumference of a tennis ball by four different methods, which were: A: Estimate the circumference by eye B: Measure the diameter with a ruler, then compute the circumference C: Measure the circumference with ruler and string D: Measure the circumference by rolling the ball along a ruler
Answer:
Following are the solution to the given equation:
Step-by-step explanation:
Please find the complete question in the attachment file.
In point a:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=22.8[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187[/tex]
In point b:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.6875[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251[/tex]
In point c:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=21[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179[/tex]
In point d:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.8375[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438[/tex]
Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure
8,6,and 3. Can triangles TUV and XYZ be similar polygons?
A. Yes. Regardless of the lengths of the sides, you can always join them by angles that
form similar triangles.
B. Yes. The ratio of 12:6 is the same as the ratio of 6:3.
C. No. The ratio 12:6 is the same as the ratio of 6:3.
D. No. The ratio of the longest sides is 12:8 and the shortest sides is 6:3.
find the percentage increase of a rectangle
Answer:
your question is quite different. I do not understand properly
What is the value of p2 + r3, when p = 2 & r = 3?
answer is 13
I hope it helpful
Answer:
The value of p² + r³, when p = 2 & r = 3
(2)²+(3)³=4+27=31
31 is the right answer.In the supply-and-demand schedule shown above, at the equilibrium price, the quantity supplied is _____ and the quantity demanded is _____. 0, 500 200, 200 400, 0
Answer:
200, 200
Step-by-step explanation:
Find the slope of the line graphed below.
Answer: 3/2
Step-by-step explanation:
To find the slope, you want to take the two points and plug it into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. That will find the slope. The points are (-5,-4) and (-1,2).[tex]m=\frac{2-(-4)}{-1-(-5)} =\frac{6}{4}=\frac{3}{2}[/tex]
Now, we know that the slope is [tex]m=\frac{3}{2}[/tex].
A recreational court is twice as long as it is wide. if the perimeter is 210 feet, find the width and length .
Answer:
The court has a length of 70 feet, and a width of 35 feet.
Step-by-step explanation:
We know two things:
the the length is twice the width
l = 2w
We also know that the perimeter is 210 feet. Noting that the perimeter of a rectangle is equal to twice its length plus twice its width, we can say:
210 = 2w + 2l
Now we can substitute the first definition of l into the second equation:
210 = 2w + 2(2w)
And now we can solve for w:
210 = 2w + 2(2w)
210 = 2w = 4w
210 = 6w
w = 210 / 6
w = 35
Now that we have w, we can plug that into our first little equation to find l:
l = 2w
l = 2 × 35
l = 70
So the width of the court is 35 feet, and it's length is 70.
Which set of ordered pairs represents y as a function of X?
A {(-3,-1), (2, -1),(5,2)}
® {(-3,-1), (2, 2), (-3,2)}
© {(-3,-1),(5,2), (-3,2)}
D {(-3,-1), (2, 2), (2,5)}
Answer:
A
Step-by-step explanation:
A. Here is why:
In a function, each x maps to exactly one value of y.
In B and C, x = -3 maps to both -1 and 2, is they are not functions.
9+4f-7z use f=6 and z=5
Answer:
-2
Step-by-step explanation:
9 + 4f - 7z
Use what they have given you
f = 6
z = 5
Now that you have those, all you need to do is substitute them into the expression
9 + 4f - 7z
9 + 4 (6) - 7 (5)
9 + 24 - 35
33 - 35
-2
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer: -2
9 + 4f - 7z
Use what they have given you
f = 6
z = 5
Now that you have those, all you need to do is substitute them into the expression
9 + 4f - 7z
9 + 4 (6) - 7 (5)
9 + 24 - 35
33 - 35
-2
Select the correct answer.
Which expression in factored form is equivalent to this expression?
4(x2 – 2x) – 2(x2 – 3)
A. (2x − 3)(x + 1)
B. 2(x + 1)(x + 3)
C. (2x + 3)(x + 1)
D. 2(x - 1)(x – 3)
Took the test. This is the answer.
Answer:
D. 2(x - 1)(x – 3)
Step-by-step explanation:
4(x2 – 2x) – 2(x2 – 3)
We would first of all expand the expression given
This becomes
= 4x2 - 8x - 2x2 + 6
Rearrange to enable us simplify
4x2 - 2x2 - 8x + 6
= 2x2 - 8x + 6
Factorize
2 (x2 - 4x + 3)
factorizing further using the factors of 3 that add up to -4
2(x2 - x - 3x + 3)
pick out the common factors
2(x(x-1) -3(x-1)
2(x-1)(x-3)
Option D. 2(x - 1)(x – 3) is right
Using the Factor Theorem, the factored form equivalent to this expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem, the expression is:
[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]
[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]
[tex]2x^2 - 8x + 6 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].
Hence:
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]
Hence, the expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
You can learn more about the Factor Theorem at https://brainly.com/question/24380382
350 kilometers in 5 hours i dont get it
Answer:
I cant see the question
Step-by-step explanation:
Find the equation of the line parallel to the line g(x) = -0.01x + 2.01 through the point (1, 2).
Answer:
Baka renejay to HAHAHHA
how do you explain 15 video games to 18 video games in ratios and rates?
15 vg
18 vg
Just put a line in-between them to make a fraction.
Penny reads 13 pages in 1/4 hour. What is the unit rate for pages per hour? For hours per page?
Answer:
52 pages per 1 hour
Step-by-step explanation:
If Penny reads 13 pages in 1/4 of an hour you need to multiply 13 by 4 to see how many pages she will read in 1 hour.
The unit rate:
52 pages per hour.
0.02 hours per page.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
To find the unit rate of pages per hour, we need to convert 1/4 hour to hours first.
1/4 hour = 0.25 hour
Then, we can use the formula:
Unit rate = Pages ÷ Time
Unit rate = 13 pages ÷ 0.25 hour
Unit rate = 52 pages per hour
To find the unit rate of hours per page, we can use the reciprocal of the previous unit rate:
Unit rate = Time ÷ Pages
Unit rate = 0.25 hour ÷ 13 pages
Unit rate = 0.0192 hours per page
Rounded to the nearest hundredth, the unit rate is 0.02 hours per page.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
5. Murphy obtains a 15/5 balloon mortgage to finance $113,500 at 4.95%. How much principal and interest will he have already pald when his balloon payment is due? (2 points)
$85,433.10
O $70,863.13
O $52,781.40
O $53,676.00
Answer:
$278.15×60= $16688.969
Step-by-step explanation:
Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk
To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:
Formula for monthly payments
A= P×r×r(1+r)^n/(1+r)^n-1
Where A= monthly payments
P= mortgage loan value
r= interest rate on loan
n= number of payments = 15×12= 180 monthly payments
Substitute :
A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1
A= $113500×0.0495×296.104/5980.90
A= $113500×0.0495×0.049508
A= $278.15
To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment
60×$278.15= $16688.969
Alyssa's cat weighs 12 pounds, which is 3/8 of the weight of her dog. Use the equation 3/8d=12 to find the weight of Alyssa's dog.
Answer:
0.5 pounds!
Step-by-step explanation:
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly correctly without making mistakes
Answer:
648 cups, 3 fluid ounces
Step-by-step explanation:
You need to know that 1 cup = 8 fluid ounces (fl. oz).
convert to fl. oz:
1296 cups = 10368 fl.oz.
total fl.oz. = 10368+6 = 10374
10374 / 2 = 5187 fl.oz.
= 648 cups and 3 fluid ounces
a sequence of payment made at equal time period is a/an'????
Answer:
Annuity.
Step-by-step explanation:
A sequence of payment made at equal time period is called an annuity.
Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Additionally, the time period between each payment is called payment period.
The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.
Max walks 10 meters in 4 seconds what is his walking rate in meters per second
Answer:
2.5 m/s
Step-by-step explanation:
10/4 gets the answer. it is just distance over time
Answer: 2.5 m/s
Step-by-step explanation:
a red knot is flying at the average speed of 37 miles per hour. the red knot has flown 296 miles. how many hours has it been tracked
Answer:
time = distance / rate
time = 296 miles / 37 mile per hour
time = 8 hours
Step-by-step explanation:
What expression can be used to find the nth term in the sequence 5,7,9, 11,...?
2n - 3
n + 2
n - 3
2n + 3
Answer:
The required expression which can be used to find the nth term in the sequence is:
[tex]a_n=2n+3[/tex]
Hence, the fourth option i.e. 2n+3 is the correct option.
Step-by-step explanation:
Given the sequence
5, 7, 9, 11,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]7-5=2,\:\quad \:9-7=2,\:\quad \:11-9=2[/tex]
The difference between all the adjacent terms is the same and equal to
d = 2
So
a₁ = 5d = 2Thus, the nth term of the sequence is
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substitute a₁ = 5 and d = 2 in the sequence
[tex]a_n=2\left(n-1\right)+5[/tex]
[tex]a_n=2n+3[/tex]
Therefore, the required expression which can be used to find the nth term in the sequence is:
[tex]a_n=2n+3[/tex]
Hence, the fourth option i.e. 2n+3 is the correct option.
Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5
A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2
Answer:
D- y=1/3x-1/2
Step-by-step explanation:
I believe that the slope needs to be opposite and the reciprocal
A random survey of enrollment at 35 community colleges across the United States yielded the following figures:
6,416; 1,550; 2,110; 9,351; 21,830; 4,299; 5,945; 5,722; 2,827; 2,046; 5,481; 5,202; 5,855; 2,749; 10,011;
6,356; 27,000; 9,415; 7,683; 3,202; 17,502; 9,200; 7,380; 18,315; 6,557; 13,714; 17,767; 7,491; 2,769;
2,861; 1,264; 7,284; 28,165; 5,081; 11,624.
Assume the underlying population is normal.
a. Which distribution should you use for this problem? Explain your choice.
b. Construct a 95% confidence interval for the population mean enrollment at community colleges in the United States.
i. State the confidence interval.
ii. Sketch the graph.
Iii. Calculate the error bound.
c. What will happen to the error bound and confidence interval if 500 community colleges were surveyed? Why?
Answer:
(6243.99, 11014.53) ; 2385.27 ; (7998.17, 9260.34) ;
Step-by-step explanation:
Given the data:
6416; 1550; 2110; 9351; 21830; 4299; 5945; 5722; 2827; 2046; 5481; 5202; 5855; 2749; 10011; 6356; 27000; 9415; 7683; 3202; 17502; 9200; 7380; 18315; 6557; 13714; 17767; 7491; 2769; 2861; 1264; 7284; 28165; 5081; 11624
Using calculator :
Sample mean, m= 8629.25714
Sample standard deviation, s = 6943.92362
1.) T test distribution ;
Sample size, n = 35
Confidence interval (C. I) : m ± Zcritical * s/sqrt(n)
n = sample size = 35
Tn-1,0.025 = t34, 0.025 = 2.0322
C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(35))
C.I = 8629.25714 ± 2385.2689
Lower bound = 8629.25714 - 2385.2689 = 6243.98824
Upper bound = 8629.25714 + 2385.2689 = 11014.52604
(6243.99, 11014.53)
Error bound :
E = t34, 0.025 * (s/sqrt(n))
E = 2.0322 * 6943.92362 / sqrt(35)
E = 2.0322 * 1173.7373
E = 2385.27
C.)
If n = 500
C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(500))
C.I = 8629.25714 ± 631.08285
Lower bound = 8629.25714 - 631.08285 = 7998.17429
Upper bound = 8629.25714 + 631.08285 = 9260.33999
(7998.17, 9260.34)
Error bound :
E = t34, 0.025 * (s/sqrt(n))
E = 2.0322 * 6943.92362 / sqrt(500)
E = 2.0322 * 310.54170
E = 631.08
Both the error margin and the confidence interval reduces due to large sample size.
How is Solve this equation
M + A = 68 and M = A + 24
Hi there! :)
[tex]\large\boxed{A = 22 \text{ , } M = 46 }[/tex]
We can solve by setting both equations equal to the same variable.
We are given that M + A = 68 and M = A + 24. The easiest variable to set both equal to would be M.
Rearrange the first equation by subtracting A from both sides:
M = -A + 68
Now that both equations equal to M, we can set the two equal to each other:
-A + 68 = A + 24
Add A to both sides:
68 = 2A + 24
Subtract 24 from both sides:
44 = 2A
Divide both sides by 2:
A = 22.
Plug this back into an equation to solve for M:
M + 22 = 68
M = 68 - 22
M = 46.
100 points for answer
As far as I can tell, your graph is correct.
If you look at the x-axis of the graph, you'll see that the graph crosses it when x is 0, 1, 2, 3, and 4. The asymptotes are halfway in between these points, so if you find the midpoints between each set of points, you'll get 0.5, 1.5, 2.5, and 3.5. These are your answers.
Step-by-step explanation:
The answer of this questions is 0.5,1.5,2.5,3.5What is the perimeter of the figure
Answer:
61cm
Step-by-step explanation:
23 + 23 + 5 + 5 + 5 = 61
hope this helps...
Answer:
The perimeter of the figure is 61 cm
Step-by-step explanation:
The Perimeter of a Shape
It's the sum of all the external side lengths of the shape.
The figure shows a compound shape made of an equilateral triangle and a rectangle.
The external sides are two sides of the triangle and three sides of the rectangle:
P = 5 cm + 5 cm + 23 cm + 23 cm + 5 cm =61 cm
The perimeter of the figure is 61 cm
On Wednesday, how many total kilograms of flour were prodľiced at plant #1 and
plant #2 combined?
Answer:
110,000 kg
Step-by-step explanation:
Just look at the kilos of flour produced on Wednesday from both plants and add them together :)
If two angles are supplementary do they form a straight angle ?
Answer:
Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.
Ally made 60 donuts on Friday. She made 3x donuts on Wednesday and 2x donuts on Thursday. How much donuts did she make in all?
Answer:
Step-by-step explanation: 60 x 3= 380
2 x 60= 270
270 + 380= 810