Don’t mod this look at picture
Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.
Answer:
17550 solutions
Step-by-step explanation:
Given that:
y1 +y2+y3+y4=27
where;
(yi ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex] )
The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.
i.e
[tex]\bigg(^{27}_{4} \bigg)[/tex]
∴
The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]
[tex]= \dfrac{27!}{4!(27-4)!}[/tex]
[tex]= \dfrac{27!}{4!(23)!}[/tex]
[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]
[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]
[tex]= \dfrac{421200}{24}[/tex]
= 17550 solutions
Vincent bought a TV for $467.00. Sales tax is 8.7%. How much money will Vincent have to pay in sales tax?
Question 8 options:
$0.41
$4.06
$406.29
$40.63
Answer:
40.63
Step-by-step explanation:
8.7% of 467 is 40.629 but rounds to 40.63
Answer:
D. $40.63
Step-by-step explanation:
8.7% of $467 = 0.087 × 467 = $40.629
40.629 rounds up to $40.63
Show your work
125-12%
Answer:
110
Step-by-step explanation:
Jonah was skiing at a constant rate of 100 feet every 4 minutes. What is the slope of a like to represent jonahs's skiing?
Answer:
m=25
Step-by-step explanation:
100/4
The video game store is having a 25% off sale on all video games. How much money will Sandra save if she buys a game that originally
cost $49.952
9. Solve each equation.
(1 Point)
-16 = 0.26
a.) b = -71
b.) b = -80
c.) b = -83
d.) b = -74
Answer:
b = -80
Step-by-step explanation:
-16 = 0.2b
-16/0.2 = b
-80 = b
x = 2 - y
3x - 10 = y
i have to find y
please help
If a is half b , and b is twice c , then a:c=
Answer: a/c = 1
a/b = 1/2 => a = 1/2 .b
b/c = 2 => c = 1/2 .b
=> a/c = (1/2.b)/(1/2.b) = 1
Step-by-step explanation:
If a is half b, and b is twice c, then the fraction a:c will be 1.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.
As per the given,
a is half b ⇒ a = b/2
b is twice c ⇒ b = 2c
By substitution,
a = (2c)/2
a = c
a:c = 1:1 = 1
Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".
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Please help me please
Answer:
To be honest I don't know I just need some points 1+1=2
Step-by-step explanation:
Which graph represents y - 1 = 2(x - 2)?
Answer: there isn’t a graph shown
Step-by-step explanation:
What is the length of the line?
Answer:
4 units
Step-by-step explanation:
Answer:3/4
Step-by-step “ time/ distance?
Predict if the product will be greater than, less than or equal to the second factor 4/5 x 1 2/5 = y
Answer:
The product will be less than the second factor.
Step-by-step explanation:
Given the expression
[tex]\frac{4}{5}\:\times \:1\frac{2}{5}\:=y[/tex]
solving to determine the product value
[tex]y=\:\frac{4}{5}\times \:\:1\frac{2}{5}[/tex]
[tex]=\frac{4}{5}\times \frac{7}{5}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{4\times \:7}{5\times \:5}[/tex]
[tex]=\frac{28}{5\times \:5}[/tex]
[tex]=\frac{28}{25}[/tex]
As the value of the second factor is:
[tex]1\frac{2}{5}=\frac{7}{5}=1.4[/tex]
And the product value is:
[tex]y=\frac{28}{25}=1.12[/tex]
It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.
i.e. 1.12 < 1.4
Thus, the product will be less than the second factor.
Angela has 30 packs of Pokemon cards each pack contains 20 cards how many packs of Pokemon cards does and Angela have
Answer:
600 cards
Step-by-step explanation:
30*20= 600
Answer:
30 packs of cards
Step-by-step explanation:
You literally answered your own question "Angela has 30 packs of Pokémon cards"
Now if your wanting to know how many cards she has it would be 600 because 30 * 20 = 600
or if you wanted you could do it this way:
2 * 3 = 6
10 * 10 = 100
6 * 100 = 600
Factor the expression using the GCF.
4x + 8
Answer:
The common factors for 4,8 are −4,−2,−1,1,2,4 - 4 , - 2 , - 1 , 1 , 2 , 4 .
Step-by-step explanation:
There ya go, mate.
The greatest common factor of the expression 4x + 8 will be 4.
What is the highest common factor?The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
As per the given expression,
4x + 8
The highest number that can be take common in the above expression is 4 as,
4(2x + 2)
Thus, 4 will be the GCF.
Hence "The greatest common factor of the expression 4x + 8 will be 4".
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a(-1 1)b(1 -2)c(0 -4) rotated 270 degrees by the origin
Given:
Consider the three points are A(-1,1), B(1,-2) and C(0,-4).
These points rotated 270 degrees by the origin.
To find:
The coordinates of points after rotation.
Solution:
If a figure rotated 270 degrees by the origin, then
[tex](x,y)\to (y,-x)[/tex]
Using this rule of transformation, we get
[tex]A(-1,1)\to A'(1,1)[/tex]
[tex]B(1,-2)\to B'(-2,-1)[/tex]
[tex]C(0,-4)\to C'(-4,0)[/tex]
Therefore, the points after rotation are A'(1,1), B'(-2,-1) and C(-4,0).
Is the relation a function?
{(14,9), (15,8), (8, 7), (1,9), (15, 2)
Answer:
No the relation is not a function
Step-by-step explanation:
This is because there are 2 x factors that have the value of 15. (15,8) and (15,2)
in order to make this a function you would have to change the one of the x factor of the 2 ratios:
(15,8) and (15,2)
Please help me with this
Answer:
6.7
Step-by-step explanation:
1150 ÷ 15 (these are not the same problem 7000 ÷ 62 also i will mark brainlest 4 first answer if u never have been brainlest
Answer:
76.666. . . and 112.9032258064516
Step-by-step explanation:
Can you help me with this question please
Answer: x=70
Step-by-step explanation:
The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age
13, 14, 15, 16, 18
Probability
0.01, 0.28, 0.30, 0.25,0.15,0.01
A. 15.28
B. 15.64
C. 15.34
D. 15.36
Answer: 15.28
Step-by-step explanation:
The expected value for the age of a randomly chosen student is,
⇒ 15.28
Given that:
Total number of students,
⇒ n = 1500,
And, Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Now,
We can Calculate the expected value as shown below,
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38
Therefore, The expected value for the age of a randomly chosen student is 15.38.
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21. A plumber charges a flat fee plus a cost per hour. Customer 1 is charged $114
for a job that takes 3 hours. Customer 2 is charged $170 for a job that takes 51
hours. What is the cost for a job that takes 8 hours?
A. $198
B. $254
c. $284
D. $840
Answer:
B. $254
Step-by-step explanation:
Flat Fee: $30
Cost per hour: $28
Customer 1: 3(28) + 30 = 114
Customer 2: 5(28) + 30 = 170
Customer 3: 8(28) + 30 = 254
Marcus is a car salesman and he earned an 8% commission on his monthly sales last month his sales total was $95,342 how much commission was he paid
Answer:
7627.36
Step-by-step explanation:
95342 * 8% = 7627.36
Answer:
Marcus earns 15% commission on his total sales at work.
Suppose Marcus's sales totaled $725 last week. How much did he earn in commission?
A.
$833.75
B.
$616.25
C.
$108.75
D.
$10.88
Step-by-step explanation:
If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:
Answer: 50%
Step-by-step explanation:
(6000-4000)/4000= 2000/4000
=2/4=1/2
(1/2)100=50
What the slope of (4, 1) and (-8, -1)
Answer:
1/6
Step-by-step explanation:
Find the slope of regular BC
What is the coefficient in the following expression?
5a2 - 7
Answer:
5 is the coefficient
Step-by-step explanation:
The following histogram shows the height of basketball players what would be the best estimate of average height ?
A. 75in
B. 82in
C. 85in
D. 80in
Answer:
D
Step-by-step explanation:
22% of 152
HELP WHATS THE ANSWER
Answer:
14.47
Step-by-step explanation:
Nadine saw that there was 4/5 of a pie left after their family picnic. Each slice of pie was 1/15 of the total pie. How many slices of pie are left?
Given:
4/5 of a pie left after their family picnic.
Each slice of pie was 1/15 of the total pie.
To find:
The number of remaining slices of pie.
Solution:
Let x be the number of remaining slices of pie.
Part of total pie in one slice = [tex]\dfrac{1}{15}[/tex]
Remaining part of total pie in x slices = [tex]\dfrac{1}{15}x[/tex]
According to the question, 4/5 of a pie left after their family picnic.
[tex]\dfrac{1}{15}x=\dfrac{4}{5}[/tex]
Using cross multiplication, we get
[tex]5\times x=15\times 4[/tex]
[tex]5x=60[/tex]
Divide both sides by 5.
[tex]x=12[/tex]
Therefore, the remaining number of slices of pie is 12.