Dennis has less than 70 min. to spend on some homework questions. He spent 10 min. on the first two questions. The rest of the questions will take 52 min. each.
Which statement describes the solution to this inequality?
Drag and drop the answer into the box.
Answers
Answer:
A. Dennis can complete less than 24 questions.
Step-by-step explanation:
Let x represent the remaining number of questions to be completed. He can complete each of them in 5/2 minutes each; this gives us the expression 5/2x.
He has already spent 10 minutes; this gives us 5/2x+10.
He has less than 70 minutes to spend; this gives us the inequality
5/2x+10<70
Subtract 10 from each side:
5/2x+10-10 < 70-10
5/2x < 60
Divide both sides by 5/2:
5/2x÷5/2 < 60÷5/2
x < 60/1 ÷ 5/2
To divide fractions, flip the second one and multiply:
x < 60/1 × 2/5
x < 120/5
x < 24
Answer:
Dennis can complete fewer than 24 questions.
Step-by-step explanation:
Related Questions
A concession stand sells hamburgers. The revenue from the hamburgers is (30x + 45) dollars. The price of a hamburger is $5. Write an expression that represents the number of hamburgers sold.
Answers
Answer:
5(6x+9)
Step-by-step explanation:
(30x+45)
30=(5)6x
45=(5)9
5(6x+9)
The original Volkswagen Beetle follows
a quadratic curve, write an equation if
the height is 5 feet long and the length
is 14 feet long. Show your work in the
sketchpads below.
Answers
Answer:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
Step-by-step explanation:
In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).
From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.
So, there are two ways in which we can build a quadratic equation:
Standard form:
[tex]y=ax^{2}+bx+c[/tex]
or
Vertex form:
[tex]y=a(x-h)^{2}+k[/tex]
Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)
So in this case: h=0 and k=5, which simplifies our equation a lot:
[tex]y=a(x-0)^{2}+5[/tex]
[tex]y= ax^{2}+5[/tex]
So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:
[tex]0=a(7)^2+5[/tex]
and now we can solve for a:
[tex]-5=49a[/tex]
[tex]a=-\frac{5}{49}[/tex]
so this completes our equation:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
whose graph looks like the one in the attached picture.
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Eighth grade
Y.8 Write a linear equation from a slope and y-intercept WHP
Learn with an example
A line has a y-intercept of -5 and a slope of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y =
Submit
Answers
Sorry don’t know
The cost to rent a moving van is $61 plus an additional $26 per hourIf a moving van rented for 17 hours, what is the cost? Write and solve an equation to find the answer.
Answers
Answer:
y = 503
Step-by-step explanation:
y=mx+b
y=26(17)+61
y=442+61
y=503
Help please simplify
Answers
Answer:
2
Step-by-step explanation:
1.) Simplify the numerator
2√2a/√2a
2.) Cancel the common factor of √2a
3.) The answer is 2
Hope this helps!!!!!
can someone please help with these what are they ?? SAS,SSS,HL,ASA,AAS
PLEASE IN ORDER
Answers
Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate questions and show some work.
Answers
Answer: pretty sure it's -1,1
M ( 3 , 1 )
Step-by-step explanation:
Answer:
J ( -1 , 1 )
M ( 3 , 1 )
Explanation:
When moving coordinates left = subtract from previous X position
When moving coordinates right = add from previous X position
When moving coordinates up = add from previous Y position
When moving coordinates down = subtract from previous Y position
Enter the slope of the line through the points (4, 15) and (4, 12). *
Answers
Answer:
-3/0 is the slope....or just -3.
Step-by-step explanation:
slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.
278×125 k12k12k1k1k21k21k2k1212k1k21kk21k21k21k2k1k21k2
Answers
Answer:
275 × 125 = 34,375Hope this helps!! Please consider marking brainliest! Have a good one!!
Step-by-step explanation:
2 7 5
× 1 2 5
+ 1 3 7 5
+ 5 5 0
+ 2 7 5
= 3 4 3 7 5
log16^*+log4^*+log2^*=7
Answers
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Given
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Required
Solve for x
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Change base of 16 and base of 4 to base 2
[tex]\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7[/tex]
Express 16 and 4 as 2^4 and 2^2 respectively
[tex]\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7[/tex]
The above can be rewritten as:
[tex]\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7[/tex]
[tex]log_22 = 1[/tex]
So, we have:
[tex]\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7[/tex]
[tex]\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7[/tex]
Multiply through by 4
[tex]4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4[/tex]
[tex]log_2(x) + 2}log_2(x) + 4log_2(x) = 28[/tex]
[tex]7log_2(x) = 28[/tex]
Divide through by 7
[tex]\frac{7log_2(x)}{7} = \frac{28}{7}[/tex]
[tex]log_2(x) = 4[/tex]
Apply the following law of logarithm:
If [tex]log_ab = c[/tex] Then [tex]b = a^c[/tex]
So, we have:
[tex]x = 2^4[/tex]
[tex]x = 16[/tex]
Rafael Is going on a trip to the beach with his family. The price of a hotel room is $120.85 per night. The family is sharing one room. The total bill before taxes is $483.40. How many nights are Rafael and his family staying in the hotel?
Answers
Answer:
They spend four nights
Step-by-step explanation:
Divide 483.40 by 120.85
what is 20ft to 8yd in a fraction in simplest form
Answers
Answer:
5/6
Step-by-step explanation:
9 cm. 12 cm. 15 cm
Is this a right triangle or not a right triangle
Answers
Answer:
It is a right triangle.
Step-by-step explanation:
bro isnt that a scalene triangle
Martha read 1/6of her library books on Saturday and 5/12 of her book on Sunday, how much more does Martha have left to read
Answers
Answer: She has 5/12 left of her book to read as well
Step-by-step explanation:
Martha read 1/6 books on Saturday and 5/12 books on Sunday, then the books left to read will be 5/12.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
Books read by Martha on Saturday = 1/6
Books read by Martha on Sunday = 5/12
Then, the number of books left to read is,
1 - (1/6 + 5/12)
Take LCM as 12,
[12 - (2 + 5)]/12
= (12 - 7)/12
= 5 / 12
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
For each incorrect answer on a test, the teacher changes the total points possible by −4 points. The total number of points possible on a test is 64. If a student has 9 incorrect answers, what will be that student’s score?
Answers
Answer:
-4×9=-36
then 64-36=28
pls help find x of this and help me understand how to find it :)
Answers
180=42+x+76+x+78
180=2x+196
2x=-16
x=-8
Have a nice day :)
Please help!!!!!!!!!
Answers
Answer:
alternative interior
What is the answer for this plz??? I will mark brainliest!!!
Answers
Answer: 59 1/2
Step-by-step explanation:
Answer:
The new elevation is -92 [tex]\frac{1}{8}[/tex] ft.
Step-by-step explanation:
-75 [tex]\frac{3}{4}[/tex] = -75[tex]\frac{6}{8}[/tex]
-75 [tex]\frac{6}{8}[/tex] + -16 [tex]\frac{3}{8}[/tex] = -91 [tex]\frac{9}{8}[/tex] = 92 [tex]\frac{1}{8}[/tex]
Solve the real-world situation by using the substitution method.
One smartphone plan costs $30 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $60 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes. The system of equations lbrace c = 30 + 8d c = 60 + 3d can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?
Both plans would cost $_____
if _____ gigabytes of data are used.
Answers
C=30+8d Data usage here would be 9= and the program would cost $102
C=60+3d. Data usage here would be14=and this program would cost $102
Problem ID: PRABJVTY
Answers
Answer:
I'm confused too I'm sorry
A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.
Please help me with question I don’t get it.
Answers
Answer:
49 pints of water
Step-by-step explanation:
that's the answer to the question
Answer: 49 pints
Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.
help me pls .................
Answers
Answer:
b
Step-by-step explanation:
please answer fast! teehee
Answers
Answer:
y = 9
Step-by-step explanation:
∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.
Therefore,
m<KHL = m<FHL
Thus:
6y = 4y + 18
6y - 4y = 18 (subtraction property of equality)
2y = 18
y = 18/2 (division property of equality)
y = 9
Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........
Pls hurry I’m being timed
Answers
Answer:
I think the answer is A
Step-by-step explanation:
makes sense
I'm right in Clare eponymous and lemonade on the street they have to recipes to choose from Emma's recipe called for the juice of five lemons and two cups of water close recipe calls for the juice of 2 lemons and what were the first breast recipe taste more lemony
Answers
Answer:
1234567
Step-by-step explanation:
Suppose that 45% of all babies in a particluar hospital are boys. If 8 babies born in the hospital are randomly selected, what is the probability that fewer than of them are boys?
Answers
Answer: 0.0385 is the probability.
Step-by-step explanation:
Need help ASAP!!!!
Which two ratios form a proportion?
Answers
Answer:
C
Step-by-step explanation:
Pls make me brainliest
Answer:
The answer is C 1/2 and 7/14
Two equivalent ratios for a proportion
To determine whether the two ratios form a proportion, you can compare them using a common denominator
1/2 = 7/14
1x7 = 7
2x7 = 14
7/14 = 7/14
What is the first step to solve the following system of equations using substitution?
X-y=-1
2x-y=3
Answers
Answer: Add to both sides
Step-by-step explanation:
5y + 3y + 5 ≤ ‐2(2y + 4)
Answers
Answer:
y≤−13/12
Step-by-step explanation:
Answer:
y ≤ -13/12 or y = (-oo, -13/12]Step-by-step explanation:
5y + 3y + 5 ≤ ‐2(2y + 4)8y + 5 ≤ - 4y - 88y + 4y ≤ -8 - 512y ≤ -13y ≤ -13/12ory = (-oo, -13/12]C. Use the activity series of metals to predict the products of the following single-replacement
reaction. Explain your answer. (1 point)
NiCl2 + Fe →
Answers
Answer: NiCl2 + Fe
Iron is above nickel in the activity series, so iron will replace nickel like this:
NiCl2 + Fe → FeCl2 + Ni
Cu(OH)2 is insoluble, so it will form a precipitate.
Step-by-step explanation:
hope this helps =)