Answer:
256
Step-by-step explanation:
Use a formula to find the are.
6 - 7 (4k + 2) = ??
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
you don't have to answer them all but help me out !!
Answer:
1. 10n
2. 3x^2z^2
3. 2(9n^3 - 3n^2 + 3n - 1)
4. (Put the same thing)
5. There are no common factors so it is completely factored out.
Step-by-step explanation:
For 1, you gotta find the gcf of the numbers and the variables. So, the common factor of 90, 70, 70, and -80 is 10. Nothing else greater than 10 divides these numbers. For the variables, only "n" is the GCF, as there is one "n" and all the other numbers have n^2 and etc.
For 2, same thing, you have to find the gcf for the numbers and the variables.
3. same thing ;-; (gcf is 2 btw, nothing divides the variables because 2 has no "n".
4. theres nothing that divides the numbers or the variables. So, the gcf is just 1.
The human body is made up of about 9.3% hydrogen. What is the amount of hydrogen contained in a person who weighs 140 pounds? Round you answer to the hundredths place
Answer:
We know that for a human body 9.3% of its total mass is hydrogen.
Now we have a person with a mass of 140 lb.
Then we have that the 100% of the mass is 140lb, the 9.3% of this is hydrogen.
We can write:
9.3% = X
100% = 140lb
We want to find the value of X (mass of hydrogen)
Then we can take the quotient of these two equations to get:
(9.3%/100%) = X/140lb
Now we can isolate the variable X to get:
(9.3%/100%)*140lb = X = 13.02 lb
So this person has about 13.02 lb of hydrogen in his/hers body.
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
[tex]\to df = n - 1 = 71-1= 70[/tex]
In point B:
[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898
[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]
find the mean 8,10,7,3,9,6,4,1
Corinna rowed 4/5 mile on a rowing machine in 1/6 hour. What is her rowing rate in miles per hour
Answer: 8.20 miles I believe
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121
Answer:
121
Step-by-step explanation:121 ! just got it right.
Answer:
D)
Step-by-step explanation:
on edge
Which equation represents a line passing through the point (8, 9) with a slope of 3?
A) y = 3x - 15
B) y = 3x - 8
C) y = 3x + 33
D) y = 3x + 9
Answer:
a
Step-by-step explanation:
basically the number with x is always the slope and I really just put the equations into a inspire and got the answer by which one matched
The equation of line passing through the point (8, 9) with a slope of 3
will be;
⇒ y = 3x - 15
Option A is true.
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The slope of the line = 3
And, The point on the line = (8, 9)
Now,
Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Hence, The equation of line passing through the points (8, 9) with slope '3' is defined as;
⇒ y - y₁ = m (x - x₁)
⇒ y - 9 = 3 (x - 8)
⇒ y - 9 = 3x - 24
⇒ y = 3x - 24 + 9
⇒ y = 3x - 15
Thus, The equation of line passing through the point (8, 9) with a slope of 3 will be;
⇒ y = 3x - 15
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As in Example 1, suppose a die is rolled. Find each probability.
PLEASEEEE HELP I WILL MAKE YOU BRAINIEST
Answer:
14
Step-by-step explanation:
Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.
Hope this helps!
Both angles form a right angle which is 90 degrees.
Angle 2 would equal 90 degrees - angle 1
Angle 2 = 90 -34 = 56
So now we know 4x = 56
To find x divide both sides by 4
X = 14
There are 20 monkeys in a zoo. There are 4 times as many lions monkeys as lions. How many lions are there
holt mcdougal chapter 7 online answer key
Answer:
saan po yung pic hindi kopo maindihan
Need the answer to angle 1 angle 2 and angle 3
Answer:
angle 1= 120 and angle 2 and 3 = 30
Step-by-step explanation:
Answer:
answer is below
Step-by-step explanation:
angle1=120°
[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°
you are in talks to settle a potential lawsuit. the defendant has offered to make annual payments of 23000 29000 56000 and 84000 to you each year over the next four years respectively. all payments will be made at the end of the year. if the appropriate interest rate is 4.5 percent what is the value of the settlement offer today
Answer:
The defendant has offered to make annual payments of $23,000, $29,000, $56,000, and $84,000 to you each year over the next four years,
Write An Equation
Write an equation for a parabola that opens up, is narrower than [tex]y=x^{2}[/tex], and has vertex (2, -5)
Write an equation for a parabola that opens down, is wider than [tex]y=x^{2}[/tex], and has vertex (-4, 3)
Answer:
1) y = 2(x - 2)² - 5
2) y = -(x + 4)² / 2 + 3
Jennifrr is flying a kite. The kite has an angle of elevation of 51 degrees and us flying on a 40 feet of string. If jennifer is holding the end of the string 6 feet off the ground, how high above thr ground is the kite? 45.6 ft 37.1 ft 54.7ft 31.2 ft
Answer:
37.1 ft
Step-by-step explanation:
Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.
Let the length of the vertical side be y.
sin 51° = y/40
y = 40 * sin 51°
y = 31.1
The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.
31.1 ft + 6 ft = 37.1 ft
Answer: 37.1 ft
Can somebody please help me with this question?
To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)
(5-2) · 180 = 3 · 180 = 540.
Now, all we have to do is add up all of the angles:
75 + 126 + 126 + 81 + c = 540
c = 132
Do the following conditions make a unique triangle, more than one triangle or no triangle possible?
60°, 30°, 90°
a
unique triangle
b
more than one triangle
c
no triangle possible
Answer:
a- unique triangle
Step-by-step explanation:
30°-60°-90° is a special triangle so the answer is a
In triangle PQR, find the measure of angle P .
Answer:
P=0.94619355852°
Step-by-step explanation:
Use cos:
cosA=adjacent/hypotenuse
cosP=33.8/57.8
P=arccos(0.5847750865)
P=0.94619355852°
Answer:
54.1
Step-by-step explanation:
If you put the reverse cos sign and divide 33.8 by 57.6 you get 54.069…
that’s the answer. In the calculator it should look like this (check attached image)
the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer leg
Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
shorter leg is 8inches shorter than the longer leghypotenuse is 8inches longer than the longer leglonger leg = x inchesPythagorean Theorem:
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
More Painful Solving:
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
Answer:
>
Step-by-step explanation:
Answer:
c for me
Step-by-step explanation:
hope that helps you
Brainliest for correct answer
Answer:
A
Step-by-step explanation:
The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:
Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y
Randy had to hang a rectangular mirror on a wall. The length of his mirror was ⅚ yards long and ¾ yards wide. What is the area of the mirror?
Answer:
5/8
If you multiply 3/4 by 5/6 you will get 5/8
Help me please. This is due later today.
Answer:
2:5 i THINK
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Step-by-step explanation:
Answer:
the size of the matrix 2x3
Step-by-step explanation:
just remember that rows are horizontal and columns are vertical hope this helps you out
A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)
Answer:
the answer is D
Step-by-step explanation:
i got it right and so would you ;)
The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.
How to calculate confidence interval for population mean ?If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.
Then, we get the confidence interval in between the limits;
[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]
The confidence interval for the mean of the population is (40.5, 41.5).
Hence,option D is correct.
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change 7 3/8 from a mixed. number to to an improper fraction
Answer:
59/8
Step-by-step explanation:
Multiply the whole number by the denominator.
[tex]7 * 8 = 56[/tex]
Add the numerator to the product.
[tex]56 + 3 = 59[/tex]
Write the sum over the denominator.
[tex]\boxed{\frac{59}{8}}[/tex]
Hope this helps.