Engineers are digging a 3200-foot-long tunnel at a constant rate. After 5 months, the engineers still need to dig 1700 feet to finish the project. How much time does it take to complete the tunnel from start to finish?
Will the engineers have enough time if the project was started in December 2020 and the deadline to finish the project was in August 2021? Please explain your answer for yes or no.
Hint:
y=mx+b (slope-intercept form)
x=time
y=distance
b=3200
Start & Finish: ??
Total length=3200ft
Left over=1700ft after 5 months of digging
help/
Answer:
Part A answer: 10 2/3 months
Part B answer: No
Step-by-step explanation:
Using what we gathered from the word problem, and the hint, we know that y = distance, x = time, and b = 3200.
3200 is the total number of ft meant for the hole to be dug. If we've been digging for 5 months, and we have 1700 ft yet to be dug, then after 5 months we have dug (3200 - 1700 =) 1500 ft in 5 months.
-1500 ft/5 months = 300 ft/month
-Digging the final 1700 ft will take 5 2/3 months
^ Using this information, we know that the total number of months it takes to dig the entirety of the tunnel is 10 2/3
In the second part of the problem, we're asked to determine whether or not a deadline of August 2021 was enough time to complete the 10 2/3 month-long project if the digging began in December of 2020.
If said project commenced in December 2020, and the deadline was August 2021, then there would be 1, 2, 3, 4, 5, 6, 7, 8... Roughly 8 1/2 months to complete the tunnel. 10 2/3 months is > (greater than) 8 1/2 months. So, no. That start-to-finish deadline would not be enough time.
Good luck!!
The work of a student to find the dimensions of a rectangle of area 6 + 8x and width 2 is shown below:
Step 1: 6 + 8x
Step 2: 2(4) + 2(6x)
Step 3: 2(4 + 6x)
Step 4: Dimensions of the rectangle are 2 and 4 + 6x
In which step did the student first make an error and what is the correct step? (1 point)
A
Step 3; 2 + (4 + 6x)
B
Step 3; 2 + (4 ⋅ 6x)
C
Step 2; 2(4) + 2(4x)
D
Step 2; 2(3) + 2(4x)
Answer:
its D
Answer
Step-by-step explanation:
I just did it btw
⚠️MATH QUESTION⚠️ Angle Similarity
Answer:
5 in.
Step-by-step explanation:
If you can see, Triangle ABE has the side with 10 in. and 25 in. on the other side and Triangle FCD has one side with 15 inches, so the bottom one should be 5 in. because decreasing size.
Presley graphed a system of equations, and the graph showed two parallel lines. What does this mean?
A. The system of equations has one solution
B. The system of equations has no solution
C. The systems of equations had infinite solutions
D. Presely made a mistake in her graphing
Answer:
i think the answer is C
Step-by-step explanation:
im so sorry if im wrong
The radius of a circle is 8 millimeters. What is the circle's circumference?
Answer:
uh what is a circumference
Step-by-step explanation:
Answer:
16 π or 50.26548246 mm (you can use either)
Step-by-step explanation:
1) 8 x 2 = 16
2) 16 x π = 16 π or 50.26548246
2+2/3 squared Times 63 divided by 9/2
Answer:
5.11111111111 is your answer
Step-by-step explanation:
PLEASE HELP ANSWER WHAT U CAN (you don't have to solve the whole page) HELP
Answer:
How u can check to see if clara is right is that you can replace O with 14 and then times 6 and 14 which will get you 84. 84-72= 12
Step-by-step explanation:
This is for question 3 :))
Blood that enters the left side of the heart has just left the lungs and contains ___ to be delivered to the body’s cells.
Please help I will reward brainliest
Answer:
The answer is oxygen
Step-by-step explanation:
I took the test and got this correct. Here were the options:
capillaries
oxygen
carbon dioxide
waste products
Please hep Im on a time crunch
Hello can someone’s help me with this?
Answer:
10 or 100
Step-by-step explanation:
I think it is 10
Can someone help? Please?
Answer:
I believe it might be 30 or 1.2
Step-by-step explanation:
It would've been 6/30 but since is it says it's a whole number you would have to add all the numbers together to get how many marbles you have in all.
I hope this is right, if it's not I'm sorry!
A parabola has the same vertex as the parabola y = 3(x − 1)^2 + 6 and has a y-intercept of −7. What is the equation of the parabola?
A. y = 3(x − 1)^2 − 7
B. y = −13(x − 1)^2 + 6
C. y = −13(x − 7)^2
D. y = −3(x − 6)^2 + 7
ILL GIVE BRAINLIEST
PLZ HELP
Answer:
⅓ (9/4 × 12) - 2
Explanation:
the key to solving this question is not to fill in the answer in order of the question, because "two less than" means that the -2 should go at the end. 9 × ¼ = 9/4.
the rest should be self-explanatory but do comment on this answer if you'd like me to explain it. i hope this helps! :D
Answer:
⅓ (9/4 × 12) - 2
Step-by-step explanation:
the key to solving this question is not to fill in the answer in order of the question, because "two less than" means that the -2 should go at the end. 9 × ¼ = 9/4.
How many solutions will this system have?
A. Infinitely many solutions
B. No clue
C. No solution
D. One solution
Answer:
one line over another is infinitely many solutions or to the letter A
hope it helps you and pls brainlies
A student has earned a 96%, 75%, 60%, 75%, and 97% on her unit tests. What is the student's median unit test score? Enter your answer in the box. median = %
Answer:
75 is the median
Step-by-step explanation:
60% , 75%, 75%, 96%, 97%
75 is in the middle
Please help I will reward brainliest
Answer: yes it is bc it has more than 5 sides
Answer:
No
Step-by-step explanation:
Polygon has 5 sides
This is 6
PLS HELP ASAP I BEG YOU
Help me with PART B!!! Use image to help!!
Determine the value of ? in the figure below.
7 is the answer...........
Complete the statement with a situation and unit of your choice. Then answer the question and draw a diagram.
A small _____________ holds 75% as much a large _____________.
1.if the small holds 36 units, how much does the large hold?
2.draw a diagram to illustrate.
Answer:
bucket
48
Step-by-step explanation:
1. A small bucket holds 75% as much as a large bucket
2. 2.draw a diagram to illustrate. "48"
Hue is arranging chairs. She can form 2 rows of a given length with 2 chairs left over, or 6 rows of that same length if she gets 14 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.
Please help. You will get some points.
Answer:
1) x: small #; y: large #
4y = 7x
x + y = 22
----------------
-7x + 4y = 0
x + y = 22
---multiply the second equation by -4------
-7x + 4y = 0
-4x - 4y = -88
----solve------
-11x = -88
x = 8
---substitute with any of the equation above i chose the very first one------
4y = 7(8)
4y = 56
y = 14
x = 8; y = 14
2) x = small #; y = large #
y - x = 15
5x = y - 9
----after rearranging, solve-----
-x + y = 15
5x - y = -9
-4x = 6
x = -1.5
--------substitute--------
-(-1.5) + y = 15
1.5 + y = 15
y = 13.5
x = -1.5; y = 13.5
3) x = lemon cream; y = fudge cookie
3x + 2y = 400
2x + 3y = 425
----multiply the first equation by -2, multiply the second equation by 3------
-6x - 4y = -800
6x + 9y = 1275
----solve------
5y = 475
y = 95
--------substitute--------
3x + 2(95) = 400
3x + 190 = 400
3x = 210
x = 70
x = 70; y = 95
A specific shade of red nail polish requires 7 parts red to 2 parts yellow. A mixture contains 35 quarts or red and 8 quarts of yellow. How can you fix the mixture to make the correct shade of red?
Answer: add 2 more yellow
Step-by-step explanation:
use the ratio 7 to 2 to solve for 35 to x
[tex]\frac{7}{2} =\frac{35}{x} \\70=7x\\x=10[/tex]
for 35 quarts of red, you will need 10 quarts of yellow to keep the ration proportional. Since it has 8 parts yellow, you need to add 2 more yellow
HELP I NEED THIS IN A BIT, ITS FOR MATH SOMEONE HELP ME PLEASEEE
Answer:
What is jada's mistake?
Is she make plus first not divided as its wrong she should substitute first by 30 and then divided it so it goes as
Step-by-step explanation:
30÷6 then answer (5) + 3
That's the correct one
A whale is at the surface of the ocean to breathe. The whale swims down 300 feet to feed. The whale is now 300 feet below sea level. *
True
False
The whale swims down 150 more feet . What is the whale’s elevation now? Refer to #5. CHECK ALL BOXES THAT HAVE A CORRECT ANSWER. *
- 450 feet
450 feet below sea level
150 feet below sea level
- 150 feet below sea level
A rectangle has an area of 24 square units and a side length of 2 and 3/4 units. Find the other side length of the rectangle. WRITE YOUR ANSWER LIKE THE FOLLOWING: 2 and 1/3 *
For each number, name it's opposite. 28
9. negative 10.4
10. 0
11. 0.875
12. Solve: 5x = 2/7
Answer:
True
Step-by-step explanation:
can someone help me with this problem please:
Write and solve the inequality for each word problem. Show work.
1. The waiter makes $10 per hour plus $65 in tips. He wants to earn AT LEAST $150. How many hours should he work?
2. Matteo was told he could spend AT MOST $80 to spend at the mall. He bought lunch for $25. He wants to buy phone cases for his friends. If the phone cases cost $5. How many phone cases can he buy?
Answer:
Step-by-step explanation:
1. [tex]10x+65\geq 150[/tex] and solve for x
[tex]10x+65\geq 150\\[/tex]
-65 -65
[tex]10x\geq 85[/tex]
/10 /10
[tex]x\geq 8.5[/tex] The waiter has to work at least 8.5 hours.
2. [tex]5x+25\leq 80[/tex] and solve for x
[tex]5x+25\leq 80[/tex]
-25 -25
[tex]5x\leq 55[/tex]
/5 /5
[tex]x\leq 11[/tex] Mateo can buy at most 11 phone cases.
Brainiest if correct please help
Answer:
A.
Step-by-step explanation:
Supplementary angles are angles that add up to 180°
<TUS measures 90°
<QUN measures 90°
Both angles added together equals 180°
Antonia wants to buy a television that costs $600, including taxes. To pay for the television, she will use a payment plan that requires her to make a down payment of $240, and then pay $68.50 each month for 6 months. What is the percent increase from the original cost of the television to the cost of the television using the payment plan?
Answer:
8.3% higher
Step-by-step explanation:
651 for payment plan, 51 $ more
51/600 x 100 = percentage
HELPPPPPPPPPPPPPPPP 6TH GRADE MATH AP EX HELPPPPPPPPPPPPPPPPPPP
A number cube that has sides numbered 1 through 6 is rolled 276 times. How many times would you expect the result to be a number greater than 1?