Answer: x=7
Step-by-step explanation:
To solve for x, you want to use algebraic properties.
20+8(x-11)=-12 [distribute]
20+8x-88=-12 [combine like terms]
8x-68=-12 [add both sides by 68]
8x=56 [divide both sides by 8]
x=7
Now we know that x=7.
A bag has 16 blue, 20 red, and 24 green marbles. What fraction of the marbles in the bah are blue?
Answer:
4/15
Step-by-step explanation:
total: 16 + 20 + 24 = 60
16 are blue
then:
the fraction of blue marbles:
16/60 = 4/15
Please help! Will give brainliest.
Your cost for each light saber is $2.45 plus you have to pay a fixed weekly fee of $250 for the booth. You plan to sell each light saber for $4.15.
Write an expression that represents the profit for selling (n) light sabers in a given week.
How many light sabers must you sell in order to make a positive profit? (Profit>=0)
In order to make a positive profit, you would have to sell at least (blank) light sabers.
$4.15n - ($250 + $2.45n)
Now that we have our expression, let's set it greater than or equal to 0
$4.15n - ($250 + $2.45n) >= 0
Let's simplify the left side.
$4.15n - $250 - $2.45n >= 0.
Combine like terms.
$1.7n - $250 >= 0
Add $250 to both sides.
$1.7n >= $250
Divide both sides by $1.7
n >= 148
You would need to make 148 light sabers to make a positive profit.
Tom, Kwasi, and Juan purchased a large pizza to share. If Tom ate of
the pizza, Kwasi ate of the pizza, and Juan ate of the pizza, what
fractional part of the pizza was eaten?
The perimeter of the triangle below is 99 units. Find the length of side WX.
Write your answer without variables.
X
4z
wx = 0
Х
V
2 + 2
3z + 1
w
Check
Answer:
14
Step-by-step explanation:
Perimeter= 99
XV+VW+WX=99
4z+3z+1+z+2=99
8z+3=99
8z= 96
z=96/8
z= 12
WX= z+2= 12+2= 14.
Hope it helps :-)
solve for x, UV and TV
We know that TV = TU + UV. Let's plug the values from the picture into our equation.
x + 25 = 9 + 2x + 28.
Let's combine like terms on the right side.
x + 25 = 2x + 37
Subtract 37 and x from both sides.
-12 = x
TV = x + 25 = -12 + 25 = 13
UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4
Answer:
.
Step-by-step explanation:
An employment agency sells its services to companies
There are 7 fewer cups than plates. There are 4 cups. How many plates are there?
Answer:
-3 plates
Step-by-step explanation:
Subtract 7 - 4 = 3. Since there are 7 FEWER plates then you add a negative sign in front of it.
Urgent please answer
Answer:
24
Step-by-step explanation:
-12 x -2 = 24
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{24}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 12( - 2)}[/tex]
[tex] \dashrightarrow{ \sf{( - 12) \times ( - 2)}}[/tex]
Multiplying or dividing a negative integer by a negative integer gives a positive integer
i.e ( - ) × ( - ) = ( + )
( - ) ÷ ( - ) = ( + )
[tex] \dashrightarrow{ \boxed{ \sf{24}}}[/tex]
Hope I helped!
Best regards! :D
Which of the following describes the quotient of 3 and -21? A. The quotient is undefined. B. The quotient is an integer. C. The quotient is a rational number. D. The quotient is an irrational number.
Answer:
pretty sure its B. The quotient is an integer
Step-by-step explanation:
A number n minus 10 is no more than 25.
Answer: n - 10 ≤ 25
Step-by-step explanation:
racional o irracional 1/9
Answer:
rational or racional
Step-by-step explanation:
Jennifer is 3 years older than twice Zack’s age. The sum of their ages is 21. What are their ages?
Answer:
Jennifer is 15 and Zack is 6
Step-by-step explanation:
z+ (2z+3)=21
z+2z+3-3=21-3
z+2z=18
3z=18
3z/3=18/3
z=6
so plug 6 in for all the variables and their ages are
Zack-6
Jennifer-15
67000000 in scientific notation
Answer:
6.7 * 10^7
Step-by-step explanation:
Multiples of six and 8
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,
Step-by-step explanation:
Simplify the following fraction 25/100
Answer:
1/4
Step-by-step explanation:
25 goes into 100 four times
Round 2,516 to the nearest hundred.
Answer:
2,500
Step-by-step explanation:
The mean and standard deviation of a normal distribution are 150 and 12
respectively. What percentage of values lie between:
a) 138 and 162
b) 126 and 174
c) 126 and 162
d) 162 and 174
a) (150 - 138) / 12 = 1 deviation or 34%
(162 - 150) / 12 = 1 deviation or 34%
34% + 34% = 68%
b) (150 - 126) / 12 = 2 deviations or 47.5%
(174 - 150) / 12 = 2 deviations or 47.5%
47.5% + 47.5% =95%
c) (150 - 126) / 12 = 2 deviations or 47.5%
(162 - 150) / 12 = 1 deviation or 34%
47.5% + 34% = 81.5%
d) (162 - 150) / 12 = 1 deviation or 34%
(174 - 150) / 12 = 2 deviations or 47.5%
This problem is a little different. We have to subtract 34% from 47.5%
47.5% - 34% = 13.5%
Sally used 3/4 cup of milk to make pancakes, 5/8 cup of milk to make scrambled eggs, and 1/2 cup of milk to make biscuits. How many cups of milk did Sally use altogether?
Answer:
1 7/8 cups
Step-by-step explanation:
This is a addition problem. You need to add three fractions, so you need a common denominator.
The LCD is 2, 4, and 8 is 8.
3/4 + 5/8 + 1/2 =
= 6/8 + 5/8 + 4/8
= 15/8
= 1 7/8
Answer: 1 7/8 cups
The sum of the measures of the angles of a triangle is 180. The sum of the measure of the second and third angle is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and ,z represent the measures of the first second and third angles
Answer:
x = 30 degrees
y = 67 degrees
z = 83 degrees
Step-by-step explanation:
Since x, y , and z are the angle measure for the first, second and third angle respectively, we can write the following equations following the statements given:
The sum of the measures of the angles of a triangle is 180:
(1) x + y + z = 180
The sum of the measure of the second and third angle is five times the measure of the first angle:
(2) y + z = 5 x
The third angle is 16 more than the second:
(3) z = y + 16
Now we solve the system of three equations. We use the third equation to replace z in the second one:
y + (y + 16) = 5 x
then : 2 y = 5 x - 16; then y = 2.5 x - 8
So , now we can replace this expression for y in the third equation:
z = (2.5 x - 8) +16 = 2.5 x + 8
and finally we made the replacements of y and z shown above in bold, in the first equation:
x + (2.5 x - 8) + (2.5 x + 8) = 180
x + 5 x = 180
6 x = 180
then x = 180/6 = 30 degrees
From this, we get the value of the other angles:
y = 2.5 (30) - 8 = 67 degrees
z = 2.5 (30) +8 = 83 degrees
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16. a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams. b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams. c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
Answer:
a)0.099834
b) 0
Step-by-step explanation:
To solve for this question we would be using , z.score formula.
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.
a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.
Standard Deviation = √variance
= √0.16 = 0.4
Standard deviation = 0.4
Mean = 21.37
x = 20.857
z = (x-μ)/σ
z = 20.857 - 21.37/0.4
z = -1.2825
P-value from Z-Table:
P(x<20.857) = 0.099834
b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.
z score formula used = (x-μ)/σ/√n
x = 20.857
Standard deviation = 0.4
Mean = 21.37
n = 100
z = 20.857 - 21.37/0.4/√100
= 20.857 - 21.37/ 0.4/10
= 20.857 - 21.37/ 0.04
= -12.825
P-value from Z-Table:
P(x<20.857) = 0
c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages
Answer:
Noelle: 20 Dad: 54
Step-by-step explanation:
The age of Noelle's Dad is 6 less than 3 times Noelle's age looks like this:
d=3n-6
While the sum of their two ages is 74, looks like this:
n+d=74
The system is:
{d=3n−6
{n+d=74
Now, substitute the first equation into the second equation and solve for n.
n+(3n−6)=74
4n-6=74
Add 6 to both sides
4n=80
Divide both sides by 4
n=20 (<---- Noelle's Age!)
Now plug n into the second equation
d=3(20)-6
d=60-6
d=54 (<---- Noelle's Dad's Age!)
I NEED AN ANSWER NOW ASAP
Answer:
Apparently i cant see the photo im am so sorry but do need pints.
Step-by-step explanation:
Answer:
option b & option c & option d
Step-by-step explanation:
option a: The left side − 0.475 is not less than the right side − 0.5 , which means that the given statement is false.
option b: The left side − 0.3 is less than the right side 0.1 , which means that the given statement is always true.
option c: The left side 9.05 is greater than the right side − 9.72 , which means that the given statement is always true.
option d: The left side 1.5 is equal to the right side 1.5 , which means that the given statement is always true.
can somebody help me !
Answer:
[tex] \angle 1[/tex]
Step-by-step explanation:
[tex] \angle 1[/tex] is not congruent to [tex] \angle 6[/tex]
solve. 20 x 10⁵ = what i only have 5 minutes to answer this
Answer:
2000000
Step-by-step explanation:
20 x 100,000
Answer:
2000000 or 2×10^6
Step-by-step explanation:
[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]
7/8 divided by 6 help me NOW please
Answer:
0.14583333333
Step-by-step explanation:
0.14583333333
simplify. can you please help? I don’t know how to do negative exponents. And I forgot how to do exponents.
Find the perimeter of the square in the coordinate plane below. Round your answer to two decimal places.
Answer:
11.31 units
Step-by-step explanation:
Find the distance of line segments AB, BC, CD, AD using the distance formula.
Chelsea earned $85
while babysitting. She
spent $42 on gas for her
car and $17 on dinner
with a friend. How much
money does she have
now?
Answer:
$85-$42-$17=$26
Step-by-step explanation:
I guess I was help full for u
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Shaniqua has a piece of red scrapbooking ribbon that is 2.715 inches long. She also has a piece of pink ribbon that is 3.154 inches long. How much longer is the pink ribbon than the red ribbon?
thank you
Answer:
0.439 in.
Step-by-step explanation:
This is a subtraction problem.
3.154 in. - 2.715 in. = 0.439 in.
Answer:
.439
Step-by-step explanation:
udnsksjdjxjxjxnxndndjdb pee
1-89. On graph paper, draw the quadrilateral with vertices A(–1, 3), B(4, 3), C(–1, –2), and D(4, –2).
Step-by-step explanation:
this is the answer
in graph
please mark me as the brainliest I really need it