Answer:
27,28,and29
Step-by-step explanation:
27+28+29=84
For example:
x+(x+1)+(x+2)=84
3x+3=84
3x=81
x=27
Now since x=27,replace the x
21+1=28
28+1=29
27+28+29=84
Hopes this helps :)
The three consecutive numbers whose sum is 84 is 27, 28 and 29.
Given the question to find three consecutive numbers whose sum is 84.
Consecutive numbers are numbers which lies next to each other in the set of counting numbers.
Let x be the starting number in the set of counting numbers.
Then the next consecutive number to it is x + 1.
And the next consecutive number to this is x + 2.
So we have,
x + x + 1 + x + 2 = 84
Adding like terms,
3x + 3 = 84
Subtracting 3 from both sides,
3x = 81
Dividing by 3 on both sides,
x = 27
So, x + 1 = 27 + 1 = 28
x + 2 = 27 + 2 = 29
Hence the numbers are 27, 28 and 29.
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If you can answer 5 questions in an hour, how many questions can you complete in 3 hours? HINT: Use the proportion 5 questions : 1 hour :: X questions : 3 hours.
Answer:
15
Step-by-step explanation:
1 hr: 5
2 hr: 10
3 hr: 15
If you can answer [tex]5[/tex] questions in an hour, then in [tex]3[/tex] hours you will complete [tex]15[/tex] questions.
What is proportion ?Proportion the equality of any two ratios is called a proportion. i.e. [tex]\frac{a}{b} :: \frac{c}{d}[/tex]
According to the question,
Let Number of questions to be completed in 3 hours [tex]= X[/tex],
So,
[tex]\frac{5 Question}{1 Hour} :: \frac{X Question}{3 Hours}[/tex]
⇒ [tex]X=15[/tex]
Hence, we can say that in [tex]3[/tex] hours you will complete [tex]15[/tex] questions.
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What is 35 million in scientific notation
Let F(x)=-7x-12 and g(x)=13-3x. What is f-g?
Answer:
[tex] (f - g)x = -4x - 25 [/tex]
Step-by-step explanation:
Given:
[tex] f(x) = -7x - 12 [/tex]
[tex] g(x) = 13 - 3x [/tex]
Required:
[tex] (f - g)x [/tex]
SOLUTION:
[tex] (f - g)x = f(x) - g(x) [/tex]
[tex] f(x) - g(x) = (-7x - 12) - (13 - 3x) [/tex]
[tex] = -7x - 12 - 13 + 3x [/tex]
Collect like terms
[tex] = -7x + 3x - 12 - 13 [/tex]
[tex] (f - g)x = -4x - 25 [/tex]
Does the table represent a linear or nonlinear function? Explain.
Х
-3
1
5
9
y
20
36
44
60
Answer:
this represents a nonlinear function because there is no set slope, or in other words, you cannot draw a straight and exact line between each point
the area of a square sports arena is 10,000 m². What are the dimensions of the sports arena on the map? Show your work.
Answer:
sorry I don't no the answer
A jar of marbles contains 120 marbles the larger jar of marbles contains one and 56 times as many marbles how many marbles are in the larger jar
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6,0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Plz help!!!!
Make it 4x23=3sx=32 Thats so simple,,,,,
Answer: O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6,0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Step-by-step explanation:
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6,0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
The difference of a number and 6 is the same as 5 times the sun of the number and 2 what’s is the number
Answer:
-4
Step-by-step explanation:
let x equal the unknown number
x-6 = 5(x + 2)
You need to distribute the 5
x-6 = 5x + 10
Then subtract x from 5x
-6 = 4x + 10
Subtract the 10 from -6
-16 = 4x
Divide
-4 = x
Shoes are on sale for
15% off the regular
price. The discount is
$6. What is the regular
price of the shoes?
Answe: She also received a coupon for 15% off the sale price. ... in price, in percentage terms, between the initial price of the shoes and the sale price?. The first way is to find the amount of the discount and subtract from the original price
Step-by-step explanation:
The DVD player shows the time of day as 1:43.
The movie still has 53 minutes to run.
What time will the DVD player show at the end of the movie?
Answer:
The answer is 2:36
Step-by-step explanation:
The answer is 2:36 because 1:43 plus 56 minutes later would be 2:36
Which measurement is most accurate to describe the distance from Los Angeles to New York City?
4,000 km
6,000 m
8,000 mm
50 km
Answer:
4,000km
Step-by-step explanation:
I need help with this integral question! It is short and easy if you know what you're doing. Due in an hour! Thanks!!!
Answer:
[tex]\int _{-3}^4 R(n)dn =7[/tex]
Step-by-step explanation:
Definite Integrals
One of the properties of the definite integrals called This is called internal addition is:
[tex]\int _a^b f(x)dx=\int _a^c f(x)dx+\int _c^b f(x)dx[/tex]
We are required to find
[tex]\int _{-3}^4 R(n)dn[/tex]
And we are given:
[tex]\int _{-3}^0 R(n)dn =12[/tex]
[tex]\int _{0}^4 R(n)dn =-5[/tex]
Thus, applying the internal addition property:
[tex]\int _{-3}^4 R(n)dn =\int _{-3}^0 R(n)dn+\int _{0}^4 R(n)dn[/tex]
[tex]\int _{-3}^4 R(n)dn =12-5=7[/tex]
[tex]\boxed{\int _{-3}^4 R(n)dn =7}[/tex]
Plz solve this for me
6lb-18oz
Answer:
78oz or 4.875lb
Step-by-step explanation:
6lb = 96oz
96 - 18 = 78oz
or
18oz = 1.125lb
6lb - 1.125lb = 4.875lb
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2. Solve 6x = 48 for x.
a. x = 8
b. x = 288
c. x = 42
d. x = 54
Answer:
The answer is A.
Step-by-step explanation:
Brandon has a cup of quarters and dimes with a total value of $3.80. The number of quarters is four less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Step-by-step explanation:
q+d= 3.80
2d - 4= q
2(8)-4=12
12q + 8d
3.00+ .80= 3.80
Daisy's Flower Shop sold 135,648 flowers during its first year. The second year, the shop sold 9,751 more flowers than it did its first year. The third year, it sold 1,344 more flowers than it did in the second year.
How many flowers did the shop sell during the three years?
Daisy's Flower Shop sold flowers during the three years.
Answer: 427,790
Step-by-step explanation
first year- 135648
second year - 135648+9751= 145399
third year- 145399+1344= 146743
Add all of them together= 427,790
Solve for w. 4P = 2w - 8b Explain in words or with numbers.
Answer:
[tex]w=2(P+2b)[/tex]
Step-by-step explanation:
[tex]4P=2w-8b[/tex]
Switch sides:
[tex]2w-8b=4P[/tex]
Add 8b to both sides:
[tex]\2w-8b+8b=4P+8b[/tex]
[tex]2w=4P+8b[/tex]
Divide both sides by 2:
[tex]\frac{2w}{2}=\frac{4P+8b}{2}[/tex]
[tex]w=2P+4b[/tex]
Factor out the common factor (2):
[tex]w=2\left(P+2b)[/tex]
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).
Answer:
(f+g)(x) = [tex]3x^{2} - 6[/tex]
Step-by-step explanation:
First, lets understand what (f+g)(x) means.
(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).
So, this is what the equation looks like when you substitute the functions in to (f+g)(x):
(f+g)(x) = [tex](2x^{2} +1) + (x^{2} -7)[/tex]
Now, combine like terms and Simplify:
(f+g)(x) = [tex]3x^{2} - 6[/tex]
This is your final answer.
A tank in the shape of a hemisphere with a radius r = 7 ft is full of water to a depth of 3 ft. Set up the integral that would find the work W required to pump the water out of the spout. Use the location of the origin and the direction of the positive axis as specified in the different parts. hemisphere Note: Use 62.5 lb/ft3 as the weight of water.
(A) The origin is at the top of the tank with positive y variables going down. dy
(B) The origin is at the bottom of the tank with positive y-values going up. dy
Answer:
4 feet is with nothing
Step-by-step explanation:
A certain form of cancer is known to be found in women over 60 with probability of 0.07. A blood test exists for the detection of the disease, but the test is not infallible. In fact, it is known that 10% of the time the test gives a false negative (i.e. the test incorrectly gives negative result when the woman actually has the cancer) and 5% of the time the test gives false positive (i.e. incorrectly gives a positive result when the woman actually does not have the cancer). What is the probability that a randomly selected woman over 60 will test positive?
Answer:
Throughout the segment below, the definition including its particular question is mentioned.
Step-by-step explanation:
The probability of developing cancer
= 0.07
The probability of someone not getting cancer
= 1 - 0.07
= 0.93
Provided that if women have cancer, the risk of someone not testing positive is:
= 0.10
Therefore, if a female requires cancer, the risk of testing positive
= 1 - 0.10
= 0.90
The Probability of positive test
= 0.055 (whenever a woman does not have cancer)
Therefore, whenever a woman does not have cancer, the risk of not testing positive will be:
= 1 - 0.05
= 0.955
Now,
By using the law of conditional probability, we get
⇒ [tex]P(\frac{B}{A} ) = \frac{P(A \ and \ B)}{P(A)}[/tex]
⇒ [tex]P (A \ and \ B) = P(A)\times P(B)[/tex]
⇒ P (having cancer as well as positive tests) = P(having cancer) × P(Effective results, because she has cancer)
⇒ [tex]0.07\times 0.90[/tex]
⇒ [tex]0.063[/tex]
Correspondingly,
P (not getting cancer and testing effective or positive)
= [tex]0.93\times 0.05[/tex]
= [tex]0.04655[/tex]
P (with a good test result)
= [tex]0.063 + 0.0465[/tex]
= [tex]0.1095[/tex]
Which number is the additive inverse of -10 1/4
Answer:
:)))))))))))))))))))))))))))))
10 1/4
Answer:
I hope this helps
Step-by-step explanation:
What is the exact simple interest on 150-day loan of 2,350 at %10
Answer:
96.58
Step-by-step explanation:
The formula for simple interest is ...
I = Prt
where P is the principal, r is the rate, and t is the time period in years.
Exact interest is computed using 365 days per year, so the time period is ...
t = 150/365
Then the interest is ...
I = 2350(0.10)(150/365) = 96.58
Write a question that represents the following equation: 22 − n = 15 .
Answer:
Maya had 22 cookies she gave out 7 to her classmates, how many does she have now?
The value of equation 22 − n = 15 is 7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Equation: 22 − n = 15
Now, Subtract 22 from both side
22 - n - 22 = 15 - 22
-n = -7
Now, multiply both side by (-1)
n= 7
Hence, the value of n is 7.
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find the slope, vertical intercept and horizontal intercept of (2,9) and (4,3)
Answer:
M = - 3
Step-by-step explanation:
Find the Slope:
Slope is equal to the change in y over the change in x
, or rise over run.
m = [tex]\frac{change in Y}{change in X}[/tex]
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Substitute in the values of x and y into the equation to find the slope.
m = [tex]\frac{3-(9)}{4-(2)}[/tex]
Simplify.
m = [tex]\frac{-6}{2}[/tex]
m = -3
-13 1/5 times 4 2/5 hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhiiiii
Answer: Exact form - 1425/25
decimal form -58.08
mixed number form -58 2/25
Step-by-step explanation:
Use the midpoint formula
In a running race, the 200-meter dash is run in approximately 21 seconds. Estimate the time to run the 100-meter dash.
Answer fast!!!
Answer:
10.5 seconds.
Step-by-step explanation:
Remember that this is an estimate. It is meant for you to do in your head. It is not meant for Google or a calculator.
100 meters is 1/2 of 200 meters.
100 meters time is roughly 1/2 that for 200 meters.
21 seconds * 1/2 = 10.5 seconds.
Let a, b, and c be integers. Consider the following conditional statement:
If a divides bc, then a divides b or a divides c
Which of the following statements have the same meaning as this conditional statement, which ones are the negations, and which ones are not neither? Justify your answers using logical equivalences or truth tables.
A) If a does not divide b or a does not divide c, then a does not divide bc.
B) If a does not divide b and a does not divide c, then a does not divide bc.
C) If a divides bc and a does not divide c, then a divides b.
D) If a divides bc or a does not divide b, then a divides c. (e) a divides bc, a does not divide b, and a does not divide c.
Step-by-step explanation:
Given that the logical statement is
"If a divides bc, then a divides b or a divides c"
we can see that a must divide one either b or c from the statement above
A) If a does not divide b or a does not divide c, then a does not divide bc.
This is False because a can divide b or c
B) If a does not divide b and a does not divide c, then a does not divide bc.
this is True for a to divide bc it must divide b or c (either b or c)
C) If a divides bc and a does not divide c, then a divides b.
This is True since a can divide bc and it cannot divide c, it must definitely divide b
D) If a divides bc or a does not divide b, then a divides c.
This is True since a can divide bc and it cannot divide b, it must definitely divide c
E) a divides bc, a does not divide b, and a does not divide c.
This is False for a to divide bc it must divide one of b or c
Answer:
D
Step-by-step explanation:
If you are asked to rotate 270° counterclockwise that's the same as rotating what other angle of rotation and direction?
Answer:
90° clockwise
Step-by-step explanation:
90 degrees clockwise
when you rotate counterclockwise 270 degrees, (x,y) maps to (y,-x)
Hope this helps :-)
28 different ways.
2) {#2in text} List and count the different ways a president and treasurer can
be elected if the president must be a female.
Answer:
The different number of ways to select a female president and a treasurer is 8.
Step-by-step explanation:
The complete question is:
Find the number of ways that club N= {Alan, Bill, Cathy, David, Evelyn} can elect both a president and treasurer if the president must be a female.
Solution:
The male members are: Alan (A), Bill (B) and David (D)
The female members are: Cathy (C) and Evelyn (E)
The list of different ways to select a female president and a treasurer is:
{CA, CB, CD, CE, EA, EB, ED and EC }
The number of ways to select a female president: [tex]{2\choose1}=2[/tex]
The remaining number of members of the club is, 4.
The number of ways to select a treasurer is, [tex]{4\choose1}=4[/tex]
The total number of ways to select a female president and a treasurer is,
2 × 4 = 8 ways.
What is the slope of the line through the points (8, −3) and (2, 1)?
A. −23
B. −13
C. 13
D. 23
Answer: D
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