Answer: x = 20/3 = 6.667
Step-by-step explanation:
Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667
On average, a person spends $240 every 3 months on their cellphone bill . What would the price for 1 month. How much would this person pay over the course of 1 year?
Answer:
$960
Step-by-step explanation:
price of one month = total expense/ number of month
= 240/3= $80
therefore persons annual expenses = 80*12= $960
Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.
Answer:
6 dimes & 10 quarters
Step-by-step explanation:
Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.
d + q = 16
0.1d + 0.25q = 3.1
Solve the first equation for d and plug into the second equation.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Answer: 6 dimes & 10 quarters
Benjamin has 6 dimes and 10 quarters.
What is linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Given that two equations,
d + q = 16
0.1d + 0.25q = 3.1
Where q represents the number of quarters in his wallet, and d represents the number of dimes.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Hence Benjamin has 6 dimes and 10 quarters.
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d Problems
The enrolment of our school is 800. If 35 % are girls
a. What fraction are girls?
b. What fraction are boys?
Answer:
Step-by-step explanation:
g=800(0.35)=280
a. 280/800=7/25
b. 520/800=13/20
13 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.002. For each smoker the probability of dying during the year is 0.02. Find the probability that a policy holder who died last year was a smoker.
Answer:
.6
Step-by-step explanation:
Using Bayes' theorem
While s = smoker
n = nonsmoker
D = died
P(s) = .13
P(n) =.87
P(D/s) =0.02
P(D/n) =0.002
P(s/D) = ??
[tex]P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6[/tex]
If you answer these questions i will give you free point's. (Answer all of them pls)
1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.
Answer:
1. 4
2.40
3. 28
4.11
5.12
6. 1
7. 1200
Step-by-step explanation:
please help me out. is it A B C D?
I am having trouble on figuring out how to write this out to solve it.
The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign
the formula may be h^2x h squared x for expanding using sum/difference
4x-5y=11 and 8x-5y=27
Answer:
y = -1 , x = 4
Step-by-step explanation:
(4x - 5y = 11) x8
(8x - 5y = 27) x4
32x - 40y = 88
- - -
32x - 20y = 108
[0. 20y = -20] divide both by 20
y = -1
8x - 5y = 27
8x - 5(-1) = 27
8x = 27 + 5
8x = 32 ( divide both by 8)
x = 4
The difference of four times a number and seven is 21. Find the number.
Answer:
7
Step-by-step explanation:
4x-7=21
4x=28
x=7.....
The number is 7.
We have a sentence - "The difference of four times a number and seven is 21".
We have to find the number.
Express the statement - "The difference of 40 and 20 is equal to n" in the form of expression.The expression representing the above statement is -
n = 40 - 20 = 20
According to the question, we have -
The difference of four times a number and seven is 21.
Assume the number be x.
Therefore -
4x - 7 = 21
4x = 28
x = 7
Hence, the number is 7.
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While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi
Answer:
9.6 m
Step-by-step explanation:
let 'x' be distance traveled
196 = 3.14(6.5)x
196 = 20.41x
x = 196/20.41
x = 9.6
Pls help I need a good grade asap
Answer:
8n+12=36, triplets are 8 years old
Step-by-step explanation:
total age is 36
one of them is 12 years old so -> 36-12 = 24
three triplets so 24/3 = 8
there are three 8 years olds and one 12 year old. n = 3
Answer:
Step-by-step explanation:
3n + 12 = 36
3n = 24
n = 8 (the triplets)
another child: 12 years
A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?
A.
This line is parallel to the line whose equation is y = 2x – 7.
B.
The line has a positive slope.
C.
The y-intercept is 7.
D.
The point (1, 4) lies on the line.
Step-by-step explanation:
alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a
Solve the inequality 2n – 1 < 39
Answer:
n < 20
Step-by-step explanation:
2n – 1 < 39
Add 1 to each side
2n – 1+1 < 39+1
2n < 40
Divide each side by 2
2n/2 < 40/2
n < 20
#5:20 < 6+(-7x)
HINT! What is an equivalent way to write 6+ (-7x)?
What letter from the chart above matches the
solution to this inequality? Type your answer as a
CAPITAL letter.
Answer:
the answer i got was x<-2
Step-by-step explanation:
Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?
Answer: Derivative or y = mx + b
Step-by-step explanation:
Take the m value from the standard form equation:
y = mx + b
Or, the second way, is to take the derivative of the function and plug in your x value for your slope.
The derivative of a linear function is very easy to take, so it boils to preference
1. Find the permeter of the triangle
(6x + 2) cm
(x- 4)cm
(3x + 1) cm
The length of a rectangle multiplied by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and width.
Answer:
W=1 4/5 feet
L= 2 2/5 feet
Step-by-step explanation:
3L = 4W L = 4W/3
2L+2W = 8 2/5
Substitute L
2(4W/3)+2W = 8 2/5
8W/3+2W = 8 2/5
multiply both sides by 3
8W+6W = 24 6/5
14W = 25 1/5
Divide both sides by 14
14W/14 = (25 1/5)/14
W = (126/5)/14 = 9/5 = 1 4/5
Substitute for W
L = 4(1 4/5)/3
L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5
The perimeter is an enclosed area of any two or one-dimensional shape.
The perimeter of a rectangle is given by:
[tex]\rm P = 2 ( L + B )[/tex]
The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].
This can be calculated by:
Given,
Perimeter (P) = [tex]\rm 8 \dfrac{2}{5} feet[/tex]Let,
Length = LWidth = WSince,
3L = 4W
[tex]\rm L = \dfrac{4W}{3}[/tex]
Substituting the value of L in the equation of perimeter:
[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]
[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]
Now multiplying the left and right sides by 3 we get:
[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]
[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]
Now divide both sides by 14:
[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]
[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]
[tex]\rm W = 1 \dfrac{4}{5}[/tex]
Now substituting the value of W, length can be calculated:
[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]
[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]
[tex]\rm L = 2 \dfrac{2}{5}[/tex]
Therefore, length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].
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What is the circumference of a circle if d = 7 feet? Use 3.14 for π
43.98 feet
18.85 feet
47.12 feet
21.98 feet
A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with replacement; that is, each selected ball is replaced in the box before the next selection is made. Determine the probability that at least one color will be missing from the 10 selected balls.
Answer:
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Determine the probability that at least one color will be missing from the 10 selected balls.
Red missing:
Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:
(0.8)^10 = 0.1074
White missing:
55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:
(0.75)^10 = 0.0563
Blue missing:
45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:
(0.45)^10 = 0.0003
Total:
0.1074 + 0.0563 + 0.0003 = 0.164
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Russ walks
7
10
mile to school.
How far has he walked when he has covered
5
8
of the distance to school?
Answer:
If he walks 7/10 miles to school, and you want to find 5/8 of that distance, you have to multiply the 2 fractions together. So he has walked 7/16 miles when he has covered 5/8 of the distance to school. thank me later
Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >
Answer:
<
Step-by-step explanation:
hhahaha
4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)
Answer:
Lisa invest "$2180.81" in her bank.
Step-by-step explanation:
The given values are:
On Lisa's 62nd birthday,
she withdraw = $10,000
The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.
⇒ [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]
⇒ [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]
⇒ [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]
⇒ [tex]= 10000\times 16.4436\times 0.0132[/tex]
⇒ [tex]=2180.81[/tex] ($)
Solve the parallelogram for x MARKINF people as brainlist
Answer:
in the question there must be the area of the parallelogram given...
Length of time for a shower and the amount of water used
A. Positive association
B. Negative association
C. No association
Which playwright has only seven surviving plays, and many people consider his Oedipus Rex the greatest Greek tragedy?
Aeschylus
Sophocles
Euripides
Aristophanes
Answer:
its b Sophocles
Step-by-step explanation:
got it right
At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.
Answer:
3.75Step-by-step explanation:
a number which is now a rattional number is a
Answer:
??? Incomplete sentence
Step-by-step explanation:
Find the lateral area of a rectangluar prism with ?
Answer:
40 Squared units
Step-by-step explanation:
[tex]A=2*2*4+2*2*6=40[/tex]
673. Решите уравнения:
1) x: 5,8 = 365;
3) x: 8,1 = 0,15;
2) x : 8,4 = 2,3;
4) x: 0,22 = 4,9.
Answer:1 ) x: 5.8 = 365
Step-by-step explanation:
x = 365 × 5.8
x = 2117
2117: 5.8 = 365
2) x: 8.4 = 2.3
x = 2.3 × 8.4
x = 19.32
19.32: 8.4 = 2.3
3) x: 8.1 = 0.15
x = 0.15 X 8.1
x = 1.215
1.215: 8.1 = 0.15
4) x: 0.22 = 4.9
x = 4.9 x 0.22
x = 1.078
1.078: 0.22 = 4.9
The temperature early in the morning is 15 °C. The temperature increases by 2 °C for every hour for the
next 5 hours. Write a function for the temperature in degrees Celsius.
f(h)=