Answer:
30.31 inches.
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
Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.
Answer:
[tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]
Vertex: (1, -9)
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
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.
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
(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girls? (Do not include any words in your answer.) Your answer
Answer:
100
Step-by-step explanation:
160 * (5/8) = 100
what is the rule for the reflection?
Answer:
Rules for Reflections
Step-by-step explanation:
hope this helps :)
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]
Factor: 3(5x+2)(5x-2)
please answer fast
(0,3);slope=-2
Answer:
y = -2x + 3
Step-by-step explanation:
plug what you know into y=mx+b3 = -2(0)+b3 = 0 + bb = 3The 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.
find the values of a and b
Answer:
Im not sure about a but, b= 38
Step-by-step explanation
b: 90 - 52 = 38
*90 because it is a right angle
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
A local farm has a 0.75 acre field that was planted with 26,100 corn plants. one acre is equivalent to 43,500 square feet.
Assuming the same planting density, how many corn plants could they plant on a field with an area of 80,000 square feet?
The options are:
A. 34,800
B. 48,000
C. 60,000
D. 64,000
E. 100,000
(Please answer this as fast as possible)
Answer:
D
Step-by-step explanation:
So first what you want to do is find how many acres you're working with. Since you know that one acre is 43,500 square feet, you can find the number of acres you're working with by dividing 80,000 theoretical square feet by your given conversion:
80,000/43,500 is 1.83908045977
After this what you want to do is divide the theoretical acres by the conversion that was given to you in the problem:
1.83908045977/.075 is 2.45210727969
Now that you have this number, you would multiply the number of corn plants that you have in order to get the theoretical number of plants that you could plant on an area of that theoretical size of 80,000 square feet:
2.45210727969 times 26,100 is 64,000 even.
The number of corn plants that could be planted on 80,000 square feet is : 64000.
What is an acre?An acre is a unit for expressing the area of big shapes and objects like fields, farm lands.
Analysis:
If 1 acre is equivalent to 43500square feet, then 0.75 acre would be
0.75 x 43500 = 32625 square feet.
If 325625 square feet produce 26,100 corn plants , then 80,000 square feet would produce : [tex]\frac{80000 x 26100}{32625}[/tex] = 64000 corn plants.
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whats the difference between irrational and rational numbers
Answer:
difference between irrational and rational numbers:
Rational numbers: They are numbers which can be expressed in the form of p/q and q is not equal to 0
Examples: 3=3/1 , 0=0/1 , 17=17/1
Irrational Numbers: They are numbers which cannot be expressed in the form of p/q where q is not equal to 0
Example: Root 2, 1. 1517825278235............... , 45.87812254.............
this is the major difference between irrational and rational numbers.
THERE ARE STILL MORE BUT THIS IS THE BASIC DIFFERENCE.
PLEASE HELP ME!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER THIS CORRECTLY!
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
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:
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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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]
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:
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=
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
David begins the summer with a savings of $54.00 more than Fatima. David’s job
pays $8.25 per hour. Fatima’s job pays $9.75. If they both work the same amount of
time each day, how many hours of work will it take David to have as much money as
Fatima? Write an inequality and then solve.
Answer:
36 hours (1 1/2 days, 351$ )
Step-by-step explanation:
create a linear system and solve.
8.25x + 54 = 9.75x
_______________
-8.25x -8.25x
_______________
54 = 1.5x
_______________
1.5 x = 54
_______________
÷ 1.5. ÷1.5
_______________
x = 36.
if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation
x = 36 -> 8.25(x) + 54 = 9.75(x)
8.25(36) + 54 = 9.75(36)
297 + 54 = 351
351 = 351
________________________________
David's budget >= 54$
Fatima's budget >= 0$
The required inequality is 8.25x + 54 = 9.75x
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
Collect like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Hence, it will take 36 hours for David to have as much as Fatima.
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-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
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
1+1+1+1+1+1+1+1 / 5x10-2+60=?
Answer:
I think your answer would be 13.5
Step-by-step explanation:
5 x 10 = 50
50 - 2 = 48
48 + 60= 108
108 / 8 = 13.5
Answer:
8/340.
Step-by-step explanation:
First thing to do is add up all of the ones. I know that it = 8, so we now have 8/. Now to figure out what the rest is... oh! I know! It's 5 x 68, which is 340, Meaning we know have 8/340.
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
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: