Answer:
40 and 32
Step-by-step explanation:
This is a linear systems equation problem.
a + b = 72
a = b - 8
Use substitution. Substitute b-8 for a in a+b=72
b-8+b=72
2b-8=72
add 8 to both sides
2b=80 (divide both sides by 2)
b = 40
Plug the value of b into the a=b-8
a=40-8
a=32
Check: 40 + 32 = 72 So the two integers are 40 and 32
what is the relevance of the background of the study in your research paper?
Answer:
The relevance of the background is to give more insight into a topic you are researching. It can provide clarifying information to your reader.
Hope this helped and have a great day,
Ginny
Step-by-step explanation:
Consider the inequality. Which value of x is a solution to the inequality?
Answer:
12-4
6+3
Step-by-step explanation:
4 time 3 equals 12
3 times 2 equals 6
Nia solved the equation -1.98 = 5.2 v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation to make sure her answer is reasonable.
Which of the following shows a good check of her answer?
-2 = 5(-2) + 13
-1 = 5(-2) + 13
-3 = 5(-2) + 13
-2 = 5(-3) + 13
Answer:
you can obviously round the -2.9 to -3, check they distributed -3 to one and thats the answer!
Sales commissions: A company studied two programs for compensating its sales staff. Nine salespeople participated in the study. In program , salespeople were paid a higher salary, plus a small commission for each item they sold. In program , they were paid a lower salary with a larger commission. Following are the amounts sold, in thousands of dollars, for each salesperson on each program
Salesperson
Program 1 2 3 4 5 6 7 8 9
A 55 22 34 22 25 61 55 36 68
B 53 24 36 28 31 61 58 38 72
Required:
Can you conclude that the mean sales differ between the two programs? Use the α = 0.05 level of significance
Using the t-distribution, it is found that since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
At the null hypothesis, it is tested if the mean sales do not differ between the two programs, that is, the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if they differ, that is:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The mean and the standard errors for each sample are:
[tex]\mu_1 = 42, s_1 = 5.9675[/tex]
[tex]\mu_2 = 44.56, s_2 = 5.6177[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_2 - \mu_1 = 44.56 - 42 = 2.56[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{5.9675^2 + 5.6177^2} = 8.1957[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{2.56 - 0}{8.1957}[/tex]
[tex]t = 0.31[/tex]
The critical value for a two-tailed test, as we are testing if the mean is different of a value, with 9 + 9 - 2 = 16 df and a significance level of 0.05 is [tex]|t^{\ast}| = 2.12[/tex]
Since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
A similar problem is given at https://brainly.com/question/13873630
Function or non functional ? Pls help :c
Answer:
none functional
was I right?
Step-by-step explanation:
someone please help me on this anyone pls no link :(
9514 1404 393
Answer:
The correct answer is marked. (8·3)
Step-by-step explanation:
The order of operations requires that you start with by evaluating expressions in parentheses. Within parentheses, the order of operations applies, so you need to do multiplication before addition.
In this expression, the multiplication operation inside the parentheses is performed first. That is, you first compute 8·3.
_____
Additional comment
After that, you do the subtraction, to get ...
11 ÷ (-12) +2⁴
Then the exponential term is evaluated, and you have ...
11 ÷ (-12) +16
The division will result in a fraction, making it ...
(-11/12) +16
And, finally, the addition gives you ...
15 1/12
domain for f(x) = -0.25(x − 4) 2 − 6
Answer:
The domain will be (-8,8), {x|x E R}
Step-by-step explanation:
The -8,8 has to be sideways on the right. Thats the answer.
Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share and the other at $7.25 a share, how many of each did she sell?
Answer:
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Step-by-step explanation:
Quantity Equation:: x + s = 62 shares
Value Equation::: 6.50x+7.25s = 433 dollars
---------------------------
Modify for elimination:
6.5x + 6.5s = 6.5*62
6.5x + 7.25s= 433
-----------------------------
Subtract and solve for "s":
0.75s = 30
-----
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Hope this helps
Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?
Answer:
$1343
Step-by-step explanation:
The equation would be
x= 1580 (1-0.15)
x represents how much he actually pays.
1-0.15=0.85.
1580×0.85=1343
I need help on my algebra test. I’m reaching out because I’m really stuck and have no teachers available. Can you help me solve for y?
where is the question?
đối với hai bài toán ước lượng cho u p
Chuong2: ƯỚC LƯỢNG THAM SỐ, môn thống kê ứng dụng
toby used 4 inches of tape to wrap a gift how much tape will he need to wrap 5 more of the same gift?
Answer:
20
Step-by-step explanation:
4*5 = 20%
4 friends share 5 pizzas equally how much pizza did each friend get
Answer:
10
Step-by-step explanation:
deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40
what would reason 4 and 5 be??
Step-by-step explanation:
These 2 are given at the top:
∠DEG≅∠FGE
DE≅GF
Theres also this:
EG≅GE
because they are the same side.
I'm not sure what the dropdown options you get are, but this is how I would answer.
ΔDEG≅ΔFGE because of SAS congruency
DG≅EF because the triangles are congruent, and therefore all corresponding sides and angles are congruent
brainliest? :)
select the reasons
options for #3
- definition of a quadrilateral
- if two lines are parallel and cut by a transversal, then the alternate interior angles are congruent
options for #5
- ASA congruence property
- SAS congruence property
- definition of a quadrilateral
Step-by-step explanation:
Givens:
ParallelogramQR || TSQT || RSQS ≅ SQWith that information, we can figure out the rest.
∠RQS≅∠TSQ and ∠QSR≅∠SQT --- these are alternate interior angles, on opposite sides of the transversal QS while between parallel lines
Finally, ΔQST≅SQR because of ASA.
===============
sorry that took so long, I severely overcomplicated things before seeing the simple solution
A parabola having its axis vertical passes through three points A(0,0), B(1,0), and C(5,-20) respectively. Determine the coordinates of the vertex of the parabola.
Answer:
(1/2, 1/4)
Step-by-step explanation:
This is gonna be long. The x coordinate of a parabola's vertex = -b/2a. Now we have to find the equation of the parabola. Using the given points and plugging them into y=ax^2 + bx + c, we can determine:
0 = c
0 = a + b
-20 = 25a + 5b
After rearranging and solving, we get:
b = -a
-20 = 20a
a = -1
b = 1
y = -x^2 + x
Now we can find the x coordinate of the vertex, which is 1/2. After plugging this into our parabola, we get a y coordinate of -1/4 + 1/2 = 1/4. Therefore, the vertex is located at (1/2, 1/4).
Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
orange divide by 3?
Step-by-step explanation:
looking at the graph, it looks like orange is 3x the length of black,
so black will be Orange/3
50 points! Help (Vectors)
The magnitude of a vector a is the length of the vector.
We write it ||a||
We can draw a right triangle and apply the pythagoras theorem. The magnitude of a will be the hypotenuse :
||a||² = 3² + 3²
||a||² = 9 + 9
||a||² = 18
||a|| = √18 = √(9*2) = 3√2 ≈ 4.24
So the answeer is 4.24
Good Luck
l
Choose all sets that contain the number 5.
Natural numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
Real numbers
Whole numbers
Natural numbers
Real nunbers
What is the average number of 20 14 28 18
Step-by-step explanation:
Avg = 20 + 14 + 28 + 18 /4
Avg = 80/4 = 20
Evaluate. 3⋅23+52−18÷6 need help ASAP
The required value of the given numerical expression is 118, as evaluated by including the PEMDAS rule in the expression.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.
The given numerical expression would be below as:
⇒ 3⋅23 + 52 − 18 ÷ 6
Using the PEMDAS rule in the above expression,
⇒ 3⋅23 + 52 − 18 ÷ 6
Apply the multiplication operation,
⇒ 69 + 52 − 18 ÷ 6
Apply the division operation,
⇒ 69 + 52 − 3
Apply the addition operation,
⇒ 121 − 3
Apply the subtraction operation to get
⇒ 118
Therefore, the evaluated value of the given expression would be 118.
Learn more about the PEMDAS rule here :
https://brainly.com/question/20876480
#SPJ5
What number is missing from the table of equivalent ratios
8 is missing for the table
let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?
The value of P - Q as described in the question above is; P -Q = 2.
According to the question;
P = number of primes less than 100Q = number of primes less than 90Since, we are required to determine what the value of P-Q is;
The value of P-Q is simply the number of primes between 90 and 100.
The prime numbers between 90 and 100 are; 91 and 97.
Therefore, P - Q = 2.
Read more;
https://brainly.com/question/22257959
Which of the following shows the
Commutative Property?
A 3 + 6 = 6-3
B 3X 6 = 6 = 3
C 3X 6 = 6 - 3 X (3 X 2)
D 3 X 6 = 6 X 3
Answer:
D
Step-by-step explanation:
Commutative switchs the numbers but not with subtraction or divion
Answer:
it is D I know because it is the opposite
A shirt that normally cost $30 is on sale for $21.75 what percent of the regular price is the sale price
Answer: 72.5%
Step-by-step explanation:
I used trial and error to figure this out.
I first found a quarter of 30 which is 7.5, so the percentage is near 75% since when 7.5 is times by 3 it becomes 22.5 which is close. Then I found what one is by dividing 30 by 100 and guessed the percentages getting closer to the answer basing on whether my last answer was to low or high and found 72.5% of 30 is 21.75 so the answer is 72.5%.
I Need help asap PLS HURRY
I'm going to pick a number between 0 and 10 inclusive, multiply it by 5, add 7 to the result, multiply that sum by 2, then pick a number between 0 and 10 to add to my product, then subtract 6. My result is 45. What is the product of the two numbers I picked?
We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.
First, you pick a number between 0 and 10, let's say that the number is N.
Then multiply it by 5 and add 7, so we get:
(5*N + 7)
Now we multiply this by 2
2*(5*N + 7)
Now we add another number between 0 and 10, let's call it M.
We need to add that to the product, and then subtract 6, and that will be equal to 45.
2*(5*N + 7) + M - 6 = 45
Now let's simplify the expression:
2*(5*N + 7) + M = 45 + 6 = 51
10*N + 14 + M = 51
10*N + M = 51 - 14 = 37
10*N + M = 37
With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]
So the only two solutions are:
N = 3 and M = 7
such that:
10*3 + 7 = 30 + 7 = 37
So the two numbers you picked are 3 and 7.
If you want to learn more, you can read:
https://brainly.com/question/2263981
Select the correct answer
Consider the given solids with the dimensions shown. Which solids are similar?
Aonly figure 1 and figure 2
B.only figure 2 and figure 3
c.only figure 1 and figure 3
D. all three figures
E none of the figures
only figure 1 and figure 3 are similar.
What is similarity?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.
If we take the ratio of three side as
16:9:12
(4)²:(3)²:(2√3)²
Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.
If we take the ratio of three side as
64:36:48
(8)²:(6)²:(4√3)²
Comparing the ratios of both figure, the figure 3 has twice the measurement of figure 1 sides.
Hence, only figure 1 and 3 are similar.
Learn more about this concept here:
https://brainly.com/question/12670209
#SPJ1
Henry can run 2.5 miles in 1/4 of an hour if he maintains the same pace how many miles can Henry run in 1 1/2 hours
Answer:
Since Henry runs 2.5 miles every 15 minutes, he runs 5 miles in 30 minutes, 7.5 miles in 45 minutes, and 10 miles every 60 minutes.
explanation: just trust me
Answer:
60 minutes
Step-by-step explanation:
I hope this would help
Solving an Inequality
Quick
Check
15
To solve the inequality
m/-7<14, what should be done to both sides?
O Divide both sides by 14.
Divide both sides by -7.
O Multiply both sides by 14.
O Multiply both sides by - 7
Answer:
D. Multiply both sides by -7
Step-by-step explanation:
So solving would look like this
m/-7 < 14
m > -2
Remember when multiplying by a negative the sign flips, hope that helps :)