Answer:
-7, -5, -3, -1
Step-by-step explanation:
Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:
[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]
[tex]3(2x + 6) = 4(x + 4) - 12[/tex]
[tex]6x + 18 = 4x + 16 - 12[/tex]
[tex]6x + 18 = 4x + 4[/tex]
[tex]2x = - 14[/tex]
[tex]x = - 7[/tex]
So the four consecutive odd integers are -7, -5, -3, and -1.
A line passes through the point (-9,5) and has a slope of 2/3 what is the equation in point-slope form for this line
Step-by-step explanation:
y-y1=m(x-x1)
y-5=2/3(x+9)
John is w years old. His sister is 16 years old and his brother is twice johns age all three siblings have a total age of 31
Answer:
Step-by-step explanation:
John's age = w
His brother's age = 2*w = 2w
His sister's age = 16 years
Total age of all siblings = 31
w + 16 + 2w = 31
w + 2w + 16 = 31
Combine like terms
3w + 16 = 31
Subtract 16 from both sides
3w = 31 - 16
3w = 15
w = 15/3
w = 5
[tex]\boxed{\text{John's age = 5 years }}[/tex]
His brother's age = 2w
= 2*5
= 10
[tex]\boxed{\text{John's brother's age = 10 years}}[/tex]
i don’t understand how to do this
Answer:
There is only 1 solution where x is greater than 3 that is on the line and that is where the line Crosse where x is 4.
Step-by-step explanation:
p(x>3) = p(x= 5) - p(x= 3)
= (Area of ∆ from x= 0 to x= 5)- (Area of ∆ from x= 0 to x= 3)
=[ 1/2•(5-0)•0.4] -[1/2•(3-0)• 0.4)]
= 1/2•0.4(5-3)
p(x>3) = 0.4
What is the area of the trapezoid? (-2, 6) (3,6) (-4,-6) (5.-6)
Answer:
84
Step-by-step explanation:
[tex]A[/tex]trapezoid= [tex]\frac{h(b_{1} + b_{2})}{2}[/tex]
Substitute the values into the equation: [tex]A=\frac{12(9 + 5)}{2}[/tex]
[tex]A=\frac{12(9 + 5)}{2}[/tex] (add 9 and 5)
↓
[tex]A=\frac{12(14)}{2}[/tex] (multiply 14 by 12)
↓
[tex]A=\frac{168}{2}[/tex](divide 168 by 2)
↓
[tex]A=84[/tex] (your answer)
Hope this helps! Have a good day! :)
1) Solve the inequality 20 – 62 < -10.
Hey there!
20 - 62 < -10
20 - 62
= -42
-42 < -10
Therefore, your answer is: [TRUE] because -42 is SMALLER than -10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the circumference of a circle with a radius of 0.5 feet, explain your answer.
Answer:
circumference equals about 3.14
Step-by-step explanation:
c=2pi times r
c=2 (3.14) times 0.5
c= about 3.14
Answer:
3.14(rounded to nearest hundredth)
__________________________________________________________
Solve by...First, use the formula for finding circumference by diameter;[tex]C = 2\pi r[/tex]
Which is the same as ↓
[tex]2\pi r = 2 * \pi * r(0.5)[/tex]
[tex]= 3.1415926535897932384626433832795[/tex]
Witch table matches?
Answer:
y=mx+b
Step-by-step explanation:
so i belive its c because half of 5 is 2.5 and the equation is y=0.5+14.
so half od 5 is 2.5+14=16.5
Need help 10 points
Which equation can be used to find the nth term of the sequence, an?
55, 50, 45, 40, 35, ...
an=60−5n
an=5n+60
an=5n+55
an=55−5n
Answer:
170 is the answer of mine
Answer:
an=5n-55 is the correct answer
Step-by-step explanation:
A formula for the perimeter of a rectangle is P=2(l+w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 64 centimeters and the width is 22 centimeters, what is the perimeter?
An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 4.60, which of the following is the correct statistical decision? a. Reject the null hypothesis with α = .05 but not with α = .01 b. Reject the null hypothesis with either α = .05 or α = .01 c. Fail to reject the null hypothesis with either α = .05 or α = .01 d. There is not enough information to make a statistical decision
Considering the p-value of the f-ratio, it is found that the correct option is given by:
a. Reject the null hypothesis with α = .05 but not with α = .01.
What is the relation between the p-value and the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.If it is less, it is rejected.In this problem, the test statistic is of F = 4.60, with 4 x 7 = 28 df between treatments and 7 df in a single treatment, hence, using a calculator, the p-value is of 0.0218, which is less than 0.05 but more than 0.01, meaning that option A is correct.
More can be learned about p-values and hypothesis tests at https://brainly.com/question/26454209
Can anyone please help im stick on this question!!!
Answer:
28
Step-by-step explanation:
The mean is adding up all the numbers and then dividing by the total amount of numbers.
So with that in mind, we can set up a equation with the missing number as x.
[tex]\frac{x+19+22+31}{4} = 25[/tex]
Then you just solve.
help asap its for my sis mathh
Answer:
The expression is:
[tex](5*6.50)+(3*24)-12=t[/tex]
The total Bella paid is:
$92.50
Step-by-step explanation:
5 shirts at $6.50 each
3 pairs of pants at $24.00 each
12 dollar discount
Let "t" be the total Bella paid.
[tex](5*6.50)+(3*24)-12=t[/tex]
[tex](32.50)+(3*24)-12=t[/tex]
[tex](32.50)+(72)-12=t[/tex]
[tex]32.50+72-12=t[/tex]
[tex]104.5-12=t[/tex]
[tex]92.5=t[/tex]
Find the center of the circle given by this equation:
Answer:
center is (5,3)
Step-by-step explanation:
[tex]x {}^{2} - 10x + y {}^{2} - 6y - 30 = 0 \\ x {}^{2} - 10x + y {}^{2} - 6y = 30 \\ add \: \: \: 25 \: \: and \: \: 9 \: oneach \: side \: to \: make \: perfect \: square \\ x {}^{2} - 10x + 2 + y {}^{2} - 6y + 9 = 25 + 30 + 9 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 64 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 8 {}^{2} [/tex]
percent sicount
A $44.00 video game is on sale for $28.60
A.20%
B.25%
C.30%
D.35%
E.40%
F.45%
Answer:
35%
Step-by-step explanation:
28.60 is what percent of $44 ?/100
28.60*100=2860 2860/44=65 100-65=35%
is the following a statistical question? How many quarts are in a gallon?
yes or no
Answer:
No
Step-by-step explanation:
A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.
5times5 =..:.::.please help
Answer:
25 Lol
Step-by-step explanation:
Answer:
Your answer is 25.
Step-by-step explanation:
I hope this helps you :)
pls mark brainleist :P
`
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W/ <3...
Tori
to how many decimal places are you supposed to 'estimate' the answer to?
Answer:
79.2135
Step-by-step explanation:
5.34 - 2.52 = 2.82
2.82 divided by 0.0356 = 79.2135
A homeowner is putting in a fireplace that has a 5 inch radius vent pipe. He needs to cut an elliptical hole in his roof to accommodate the pipe. If the pitch of his roof is 2/5 what are the dimensions of the hole
The dimensions of the hole when the homeowner is putting in a fireplace will be 10 inches and 10.77 inches.
How to calculate the dimensions?The width of the pipe will be:
= 5 × 2
= 10 inches.
The length of the pipe will be:
= (✓2² + ✓5²)/5 × 10
= ✓29/5 × 10
= ✓29 × 2
= 10.77 inches
In conclusion, the dimensions are 10 inches and 10.77 inches.
Learn more about dimensions on:
https://brainly.com/question/26740257
The two triangles shown are congruent.
Find the value of x
Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = [tex]\sqrt{625}[/tex] = 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Construct a box-and-whisker graph using the following data:
87, 94, 82, 78, 95, 91, 87, 83, 101, 83, 82, 77, 80, 102, 75
data given: {87, 94, 82, 78, 95, 91, 87, 83, 101, 83, 82, 77, 80, 102, 75}
arrange in ascending order:
75, 77, 78, 80, 82, 82, 83, 83, 87, 87, 91, 94, 95, 101, 102
Identify:
Q1 = 80Q2 = 83Q3 = 94IQR = 14Median = 83Plot box-and-whisker graph:
Which phrase represents this expression?
35÷(12−5)
Select each correct answer.
(1) 5 less than the quotient of 35 and 12
(2) 35 divided by the difference of 12 and 5
(3) the quotient of 35 and the difference of 12 and 5
(4) the total of 35 and 12 is subtracted by 5
Answer:
answer 2(35 divided by the difference of 12 and 5
Answer:
2 and3
Step-by-step explanation:
A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that. what are the first four terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?
$17
17+11 = $28
28+11 = $39
39+11 = $50
17 + 11(n-1) $$
n-1 because removes the first class of $17
meg made 3 gallons of lemonade for a group of campers. if each camper gets 1 cup of lemonade, how many campers can have lemonade?
A. 16
B. 26
C. 48
D. 60
Answer:
C
Step-by-step explanation:
1 gallon = 16 cups
3 gallons = 48 cups if each camper gets one cup of lemonade, it can serve 48 campers.
Find m < A
inscribed angles and arcs
Answer:
110°. b. b.
Step-by-step explanation:
..............
simplify each of the following fractions :
25
__
30
Answer:
25 / 30 = 5 / 6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
What is the volume to the nearest tenth of a cone that has a height of 17 meters and a base with a radius of 6 meters? Use 3.14 for π and round to the nearest tenth.
Answer:
640.6 m^2
Step-by-step explanation:
Formula
V = (1/3) pi * r^2 * h Substitute givens into the formula and solve
Givens
V = ?
pi = 3.14
r = 6 m
h = 17 m
Solution
V = (1/3) * 3.14 * 6 * 6 * 17
V = 640.56
Answer
V = 640.6 m^2 to the nearest 10th
Enrique makes $11.50 per hour and works 40 hours per week. He is single
and claims O withholding allowances. He estimates that he will spend $100
per month on qualified expenses. How much will he save per week in taxes
if he participates in his employer's cafeteria plan and has $100 per month
deducted before taxes? How much will he save in one year, or 50 weeks
of work?
Answer:
He makes 460 per week
Step-by-step explanation:
What information about the houses that is not shown in this data could affect housing prices? check all of the boxes that apply. the location of the houses the size of the houses the selling prices the conditions of the houses the value of the houses relative to other homes in the same area
The information about the houses that could affect housing prices are;
location...size...the conditions... value of the...What is price?prices serves as the amount of money expected or required for a payment of a value given.
Therefore, from base on the meaning of prices from economics, value of the houses relative to other homes in the same area can affect the price.
Learn more about prices at;
https://brainly.com/question/19104371
Answer:
Step-by-step explanation:
A B D E
Just did it on Edge!!!!
Riley has a fish tank in the shape of a rectangular prism like the one shown.
A box that measures 7 inches by 10 inches by 7 inches.
How much water can the tank hold?
24 cubic inches
70 cubic inches
119 cubic inches
490 cubic inches