Answer:
x = -4
Step-by-step explanation:
Subtract 17 on both sides to get 6x = -24 then divide 6 to both sides to get your answer of x = -4
First, you need to get 6x by itself. So you would subtract 17 from both sides. After that you should have 6x= -24.Then you need to get x by itself. You divide 6 from both sides. The answer is x= -4.
Hope this helps!!
The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?
Answer:
$1,126.37
Step-by-step Explanation:
Given:
Account balance for:
Month 1 = $1285.12
Month 2 = $961.36
Month 3 = $1132.63
Required:
Average balance of account
SOLUTION:
Average balance of account = sum of account balance for the 3 months ÷ 3
Average balance of account = [tex] \frac{1285.12 + 961.36 + 1132.63}{3} [/tex]
Average balance of account = [tex] \frac{3,379.11}{3} [/tex]
Average balance of account = [tex] 1,126.37 [/tex]
Answer:
$1,126.37
Step-by-step Explanation:
Given:
Account balance for:
Month 1 = $1285.12
Month 2 = $961.36
Month 3 = $1132.63
Required:
Average balance of account
SOLUTION:
Average balance of account = sum of account balance for the 3 months ÷ 3
Average balance of account =
Average balance of account =
Average balance of account =
A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 600 600 viruses would differ from the population proportion by greater than 3% 3 % ? Round your answer to four decimal places.
Answer:
The probability is [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.07[/tex]
The mean of the sampling distribution is [tex]\mu_p = 0.07[/tex]
The sample size is n = 600
Generally the standard deviation is mathematically represented as
[tex]\sigma_p = \sqrt{\frac{p (1 -p)}{n} }[/tex]
=> [tex]\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }[/tex]
=> [tex]\sigma_p = 0.010416 [/tex]
Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as
[tex]P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )[/tex]
Now add p to both side of the inequality
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )[/tex]
Now converting the probabilities to their respective standardized score
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)][/tex]
From the z-table
[tex]P(Z \le 2.88) = 0.9980[/tex]
and
[tex]P(Z \le -2.88) = 0.0020[/tex]
So
[tex]P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020][/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]
Which of these terms does not describe polygon A’B’C’D?
A. Rotation
B. Transformation
C. Reflection
D. Image
The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.
What is reflection?In terms of geometry, a reflection should be known as the flip, It should be considered as the mirror image of the shape. The image should reflect via the line that we called as the reflection line.
When it should be at reflection so each and every point in the figure should be equidistant with respect to the another figure.
hence, The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.
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Solve the inequality 3(k-9) > 3k + 6.
Answer:
No solution
Step-by-step explanation:
Solving inequalities is similar to solving equations. First let's distribute the 3 with (k-9)
[tex]3(k - 9) > 3k + 6[/tex]
[tex]3k - 27 > 3k + 6[/tex]
(Subtract 3k from both sides)
[tex] - 27 > 6[/tex]
[tex] - 33 > 0[/tex]
(Subtract 6 from both sides. You can also add 27 to both sides. You will get the same answer.)
This inequality is invalid. There are no values of k that make the inequality true.
Answer:
No solution
Step-by-step explanation:
Write the number that balances the equation. (14 • 3)8 = 16(7 • __________)
Answer:
1.5
Step-by-step explanation:
I'm thinking that if the number on the outside of the parentheses is doubled, then everything else on the inside will be halved.
The width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Which equations represents how to find the length and the width?
Answer:
x+x+x+12+x+12=156
width is 33
length is 45
Step-by-step explanation:
for for the width we will substitute it for x, and for the length we will substitute for x + 12 since the width is 12 cm less than the length. and, we know that to find the perimeter, you just have to add the widths and lengths. and since the perimeter is given the equation is:
x+x+x+12+x+12=156
width is 33
length is 45
Find the missing side
Answer:
x= 40
Step-by-step explanation:
the way to figure out a cale factor is to divide a new side by an old side, in this case you could divide 24 by 15 to get 1.6
multiply the side congruent to x by 1.6, so 25 and 1.6
you should get 40
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5
Answer:
y = negative two-thirds x + 5
y = -2/3x + 5
Hope this helps :)
Answer:
y = negative two-thirds x + 5
Step-by-step explanation:
A number increased by 22% of itself is 488
Model the statement in an equation.
Answer:
idk,i need the same answer
Step-by-step explanation:
What number is 10 times greater than 0.03?
Answer:
0.3
Step-by-step explanation:
0.03×10= 0.3
Greater than would mean to multiply
The number is 10 times greater than 0.03 is 0.3 .
What does greater than means ?Greater than is used when a quantity or number is bigger or larger than the second or rest quantities or numbers.
According to the question
The number is 10 times greater than 0.03
i.e
As we need 10 times greater than 0.03
we will multiply 10 to 0.03
0.03 * 10 = 0.3
Hence, the number is 10 times greater than 0.03 is 0.3 .
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9)
If l||m and jik,
find the value of y.
(6y + 7)°
1
(5x)
(7x + 24°
m
k
A 7
B) 13
C) 18
D) 65
jump roping
spinning in circles
eating gummy bears
finger painting
9514 1404 393
Answer:
C) 18 eating gummy bears
Step-by-step explanation:
The angles indicated with x-expressions are supplementary, so we have ...
(5x) +(7x+24) = 180
12x +24 = 180 . . . collect terms
x +2 = 15 . . . . . . divide by 12
x = 13 . . . . . . . . . subtract 2
Then the obtuse angle is ...
7x +24 = 7(13) +24 = 115
__
The angle marked with a y-expression is a corresponding angle to this, so has the same measure.
6y +7 = 115
6y = 108 . . . . subtract 7; next divide by 6
y = 18
Answer:
y=18
Step-by-step explanation:
5x+7x+24=180
12x+24=180
12x=156
x=13
6y+7+65=180
6y+72=180
6y=108
y=
what is the solution of the equation 2/5x - 4 = 26
Answer:
x=75
Step-by-step explanation:
2/5x=26+4
2/5x=30
2x=30*5
2x=150
x=150/2
x=75
Answer: x=75
Step-by-step explanation:
PLZ HELP! I WILL MARK YOU BRAINLIEST!
Answer:
6
Step-by-step explanation:
[tex]\sqrt[3]{216}[/tex] = 6
Which equation has only one unique solution?
A. |3-x| = 3
B. Ix-2| - 7 = 7
C. 9 - |2x - 1| = 9
D. -4|x| + 1 = -3
Answer:
c
9-|2x-1|=9
|2x-1|=9-9
|2x-1|=0
2x-1=0
2x=1
x=1/2
-2(x - 5) = -14
What does x equal in this equation
Answer:
Step-by-step explanation:
-2(x-5)=-14
-2x+10=-14
-2x=-14-10
-2x=-24
-x=12
x=-12
The bakery made 110 pumpkin muffins. They will be packed
in boxes with 8 muffins in each box. About how many boxes
will there be?
Answer:
118
Step-by-step explanation:
you should have learned this in 1st grade
Answer: 14 boxes
Step-by-step explanation:
Divide 110 by 8 and you get 13.75. You will then round up to the nearest hole number to make sure that almost all the boxes have 8 muffins in each.
Please can someone please tell me how to do thisss
Answer:
Rotate it 90°
Step-by-step explanation:
First graph D(-3, -10)
And a rotation of 90° clockwise is when you move the shape to the left 90°.
And that’s it
Answer:
I have a set of rules that should help you:
When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)
IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer -10, 3
-Hope this helps
Step-by-step explanation:
The line parallel to y = −x that passes through (5, 5.5). The equation of the line that passes through (5, 5.5) is y =
The line parallel to y = -x has the same slope, which is -1, because parallel lines have the same slope.
So you plug 5 and 5.5 into the equation y = -x + b.
5.5 = -5 + b
Add 5 to both sides.
10.5 = b
So, y = -x + 10.5
plz help asap im being timed and i only have 20 minutes left
Answer:
first question is B
second F
third C
fourth pretty sure its C
last C
Step-by-step explanation:
x– 5x + 19 = 10 + 2x – 3
Answer:
x=-6
Step-by-step explanation:
x-5x+19=10+2x-3
-4x+19=10+2x-3
-4x+19=7+2x
19=7-2x
12=-2x
x=-6
Answer:
x = 2
Step-by-step explanation:
x - 5x + 19 = 10 + 2x - 3
-4x +19 = 7 + 2x
-2x -2x
-6x + 19 = 7
-19 -19
-6/-6x = -12/-6
x = 2
a) Sheetal has eight Rs 5. coins. After purchasing 1 kg of tomatoes, only one coin left with her. What is the price
of 1 kg of tomatoes? b)The shopkeeper has 46 kg 750 g of tomatoes in his stock. He sells 28 kg 850 g of
tomatoes. What is the weight of tomatoes that are left?
Step-by-step explanation:
please check the attached picture..and rotate it
An artist is making a scale model of A statue on the model 2 inches represents 1 foot on the actual statue which graph best represents this relationship
Answer:
0.166667
Step-by-step explanation:
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
Answer:
324 calories
Step-by-step explanation:
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
The unit rate for calories per cup = calories per cup
3/4 cup serving = 81 calories
3 cups of cereal = x calories
We Cross Multiply
3/4 × x = 81 × 3
x = (81 × 3) ÷ 3/4
x = 243 × 4/3
x = 324 calories per cup
There are 324 calories in 3 cups of cereal
Factor: 3(5x+2)(5x-2)
Please help ME!!! I need help
need help asap thanks !!
Answer:
a-16= -5
Step-by-step explanation:
a-16 = -5
1.) Add 16 on both sides of the equal sign to get a by itself.
-That leaves you with.
a= 11
If the 8th graders raise 2/3 of their fundraising goal of $240, how much money have they raised?
Answer:
$160 do you need the work?
Answer:
$160
Step-by-step explanation:
Money raised = 2/3 of 240
[tex]=\frac{2}{3}*240\\\\=2*80\\\\[/tex]
= $ 160
The temperature in Montreal was -8° C. In New York the temperature was 11° C. How many degrees warmer was the temperature in New York?
Answer:
19
Step-by-step explanation:
14 boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.
Answer:
7
Step-by-step explanation:
GCF of 14 and 21 is 7
Your eccentric Aunt Isabella sends money to each niece and nephew on his or
her birthday, She gives each child $10 on his or her first birthday. On each
birthday thereafter, you and your cousins get $20 more than on the birthday
before. How old will you be when you have received a total of $4,000 from
Aunt Isabella?
How old will you be when you have Received a total Of $4000 from aunt Isabell?
Answer:
20 years old
Step-by-step explanation:
Given
Base Amount = $10
Additional Amount = $20
Required
Determine the number of years where the total will accumulate to $4000
This question represents Sum of an AP series.
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]
Such that:
[tex]S_n = 4000[/tex]
[tex]a = 10[/tex]
[tex]d = 20[/tex]
Substitute these values in the above formula:
[tex]4000 = \frac{n}{2}(2 * 10 + (n - 1) * 20)[/tex]
[tex]4000 = \frac{n}{2}(20 + 20n - 20)[/tex]
[tex]4000 = \frac{n}{2}(20n)[/tex]
[tex]4000 = \frac{20n^2}{2}[/tex]
[tex]4000 = 10n^2[/tex]
Divide through by 10
[tex]400 = n^2[/tex]
Take square root of both sides
[tex]20 = n[/tex]
[tex]n = 20[/tex]