Answer:
40.8
Step-by-step explanation:
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
Donna purchases 10 tickets to a state fair.
• She purchases 4 adult tickets for $48.
• The remaining tickets are child tickets, for which she pays a total of $42.
What is the ratio of the price of one adult ticket to the price of one child ticket?
A.
2 to 3
B.
4 to 3
C.
8 to 7
D.
12 to 7
12 to 7
Step-by-step explanation:
The ratio of the price of one adult ticket to the price of one child ticket is 12 to 7. The correct option is D.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Donna purchases 10 tickets to a state fair.
• She purchases 4 adult tickets for $48.
One ticket is 48/4 = 12
• The remaining tickets are child tickets, for which she pays a total of $42.
One ticket is 42/6 = 7
To find the ratio:
one adult ticket / one child ticket
= 12 / 7
or, 12 to 7.
Therefore, 12 to 7 is the required ratio.
To learn more about the ratio;
https://brainly.com/question/13419413
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Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport
3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports
How many students said they didn't like any sports
0 75
O 20
O 55
O 5
Answer:
5
Step-by-step explanation:
Add 1/5 + 3/4. Answer: 19/20 likes sports.
What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7? 3 9 27 63
Answer:
9
Step-by-step explanation:
i just did my test and i checked and it was right
Answer:
The answer is 9
Step-by-step explanation:
Just did the test and I got 100%
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
HELP PLEASE!! I NEED TO GET THIS TURNED IN
Answer:
the 10.5
Step-by-step explanation:
it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three
Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
oh i thought i knew this sorry man
Step-by-step explanation:
Answer:
7.10
Step-by-step explanation:
Sorry if this is wrong, just a guess:)
Simplified or expanded version of 8(4x-12)
Answer: 32x - 96
Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
if its total was $490 for the week, what was its average daily change?
Answer:
$70/day
Step-by-step explanation:
7 days = 490
1 day = X
Cross multiply
7X = 490
Divide both sides by 7
X=70
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
which number is bigger 1.59 or 1.955
Answer:
1.955 is bigger
Step-by-step explanation:
1.955>1.59
Answer:
1.955
Step-by-step explanation:
This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59
Which of the following volumes represent a perfect cube? Check all that apply. 1 in.3 4 in.3 8 in.3 12 in.3 25 in.3 27 in.3 64 in.3
Answer:
A, C, F, G (1 in.^3, 8 in.^3, 27 in.^3, 64 in.^3.)
Step-by-step explanation:
Answer:
A
C
F
G
Step-by-step explanation:
I got it right on the question.
Two forces act on a body so the resultant is a force of 68.3 pounds. The angles between the resultant and the forces measure 46 degrees and 38 degrees.
Answer:
A
Step-by-step explanation:
Use the equation given for sin
A line passes through the point (4, -6) and has a slope of -3/4. Which is the equation of the line
Answer:
A: y=-3/4x -3
Step-by-step explanation:
Sarah uses long division to convert a rational number x/y to its decimal form. Which of the following statement cannot be true?
a 10 miles per hour
b 15 miles per hour
c 30 miles per hour
d 65 miles per hour
====================================================
Explanation:
The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.
The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.
Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.
Subtract the two speeds to get 65-50 = 15 mph
Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)
Answer:
See below
Step-by-step explanation:
Part ALet number of days be d, then the equation is:
50d + 200*0.6 = 1620Part BSolution of the equation
50d + 120 = 162050d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50 ⇒ division property of equalityd = 30Part C30 days as aboveWrite the vocabulary word for this definition:
The number of units or spaces away a number is from zero
Answer:
i am not sure but may be ...absolute value
SLOPE AND PARALLELISM
COMMON CORE GEOMETRY PRACTICE
MEASUREMENT AND CONSTRUCTION
1. Graphically determine the slopes of the line segments that create shown below. Write your final
slopes in simplest form.
(a) AD
(b) CD
(c) AC
What is the equation of the line in slope-intercept form
Answer:
y=1/3x+45
Step-by-step explanation:
what is the quotient of 0.12/24.12
Answer:
0.00497512437
Step-by-step explanation:
but make sure to round it. it should be 0.005 rounded to the nearest thousandth place but make sure if im correct im not too sure.
PLEASE HELP WITH THIS, ITS FOR A TESTTT
Answer:
The answer is C
Step-by-step explanation:
Distribute first then combine like terms
Which table represents a nonlinear function?
A.
x y
2 -9
4 1
6 11
B.
x y
2 -14
4 -16
6 -18
C.
x y
2 0
4 6
6 16
D.
x y
2 -9
4 -6
6 -3
Answer:
C. 2 -9
4 -6
6 -3
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary
Answer:
6.4
Step-by-step explanation:
Help me pls what is the perpendicular line
Answer:
-2
Step-by-step explanation:
a computer backs up 324 megabytes of data in 5 minutes. WRITE AN EQUATION that represents the number of megabytes, m, that can be backed up in (t) minutes.
Answer:
64.8 x t = m
Step-by-step explanation:
324 / 5 = 64.8 :64.8 megabytes are produced every 1 minute
64.8 x t = m
What is the answer to 2r – 1 ≥ ‐3(r + 7)?
Answer:
r>−4
Step-by-step explanation:
On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded. Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1
Answer:
The linear equality y>x+1 is the right answer.
Answer:
The linear equality y>x+1 is the right answer.
Step-by-step explanation:
A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?
Answer:
1/2 teaspoons of salt per cup of sour cream
Step-by-step explanation:
multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.