Answer:
a) eight and seven ninths minus three and four sixths
Step-by-step explanation:
The required result is [tex]5\frac{6}{54}[/tex]
a)
[tex]8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9} -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}[/tex]
b)
[tex]6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9} -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}[/tex]
c)
[tex]4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9} +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}[/tex]
d)
[tex]3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9} +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}[/tex]
Answer: A
Step-by-step explanation: I did the assesment
PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)
Answer:
The answer is y=8/3x-1
Step-by-step explanation:
7-(-1)/3-0
=8/3
y-y=m(x-x¹)
y-7=8/3(x-3)
y-7=8/3x-8
+7 +7
y=8/3x-1
Scale on a floor plan is 1 inch 8 feet what actual distance is represented by a distance of 2.6 inches on the floor plan?
Answer:I’m pretty sure it’s b (20.8)
Step-by-step explanation:
8. A school raffle sold 480 tickets. Students were charged $1/ticket and teachers $5/ticket. The total receipts were $560. How many of each ticket were sold? 9. An airplane travels 5432 km. On the outward trip it took 7 hours with the wind. On the return trip, it took 8 hours against the wind. What was the speed of the plane and the speed of the wind? (Remember: distance = speed x time)
Answer:
8. Number of student tickets = 460
Number of teacher tickets = 100
9. Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
Step-by-step explanation:
8.
Let number of students' tickets = [tex]x[/tex]
Let number of teachers' tickets = [tex]y[/tex]
Total number of tickets = 480
[tex]x+y=480[/tex] ...... (1)
Price for one student's ticket = $1
Price for one teacher's ticket = $5
Total money collected by the tickets = $560
[tex]x +5y = 560[/tex] ...... (2)
Subtracting (1) from (2):
[tex]4y = 80\\\Rightarrow y = 20[/tex]
By equation (1):
[tex]x = 460[/tex]
Number of student tickets = 460
Number of teacher tickets = 100
9.
Let the speed of airplane in still air = [tex]u[/tex] km/hr
Let the speed of air = [tex]v[/tex] km/hr
Total distance = 5432 km
Time taken with the wind = 7 hours.
Speed with the wind = [tex]u+v[/tex] km/h
Time taken against the wind = 8 hours.
Speed with the wind = [tex]u-v[/tex] km/h
Using the formula:
Distance = Speed [tex]\times[/tex] Time
[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]
[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]
Adding (1) and (2):
[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]
By equation (1):
[tex]v = 48.5\ km/hr[/tex]
Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *
Answer:
55%
Step-by-step explanation:
The total number of questions gotten correctly = 22
The total number of questions to be answered = 40
The percent of questions Joan got correctly is calculated as:
(The total number of questions gotten correctly/The total number of questions to be answered) × 100
22/40 × 100
= 55%
Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?
Answer: 3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
Step-by-step explanation:
step 1
LET I set of necklace and bracelet be represented as ( A bracelet and a necklace)
if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet for a set
Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9
= 9 4/9 inches.
Step 2
IF a set (One necklace and bracelet) can use = 9 4/9 inches
and Total wire used = 28 1/3inches
Then Number of necklaces and bracelet sets that can be made from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches
=85/3 / 85/ 9 = 85/3 x 9/ 85 = ( 85 cancels 85 )
9/3 = 3
3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
what method is this?
What is the value of x?
Answer:
45
Step-by-step explanation:
Answer:
value of x=1
Step-by-step explanation:
I need help please!!
Answer:
y=-2x+5
Step-by-step explanation:
thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!
Valentina bought 12 puzzles each with the same number of pieces. The total amount of pieces is 19,200. How many pieces are in each puzzle box?
Answer: 1600
Step-by-step explanation:
If there is a total amount of 19200 pieces within 12 puzzle boxes, then we'll have to divide 19200 by 12.
19200 ÷ 12 = 1600.
In conclusion, 1600 pieces are in each puzzle box.
Hope this helps!
Answer:
1,600 pieces per puzzle
Step-by-step explanation:
19,200/12= 1,600
you divide because you have the total amount of puzzle pieces and you have the amount of puzzles so
Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .
Answer:
y= 3/4x + 6.4
Step-by-step explanation:
If your teacher asks why it's so specific tell them you used desmos <3
What is the difference between 2 2/3 - 1 2/3
Answer:
1
Step-by-step explanation:
Subtract
Since they have the same denominator you can subtraact normally
so 2 2/3- 1 2/3
That would be 1
1. 3, 12, 48,_,_,_
Find the missing terms in each geometric sequence
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
Please answer!!!! And show work if possible!!!!!
Step-by-step explanation:
Triangles ABX and DCX are similar.
Since they are similar, AX/DX = AB/DC.
Hence AX/2.8 = 8/4 and AX = 5.6.
I’ll mark as BRANLIEST!!
Please help me!!
40 POINTS!!!
Step-by-step explanation:
Notice that B = {1, 3, 5, 7} and C = {0, 2, 4, 6, 8, 10}.
A U B = {1, 3, 5, 7}.
B ∩ C = { }.
A U C = {0, 1, 2, 4, 5, 6, 7, 8, 10}.
what is the positive value of x in the following expression?
[tex]2x ^{2} - 7x - 4[/tex]
Answer:
x = 4
Step-by-step explanation:
Given
2x² - 7x - 4
To solve for x , equate the expression to zero
2x² - 7x - 4 = 0 ← in standard form
(x - 4)(2x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus the positive value of x is x = 4
Answer:
x=4
Step-by-step explanation:
Hope this helped have an amazing day!
Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i
2.4 millimetres into meter is 0.0024.
Answer:
0.0024 meters
Step-by-step explanation:
Using conversion.
Hope this helps!
xoxo,
cafeology
on Saturday, Jasmine used her cell phone for 36 minutes. on Sunday she used her cell phone for 18 minutes more than on Saturday. find the ratios of the number of minutes jasmine used her phone for on Saturday to the total number of minutes she used i for on Saturday and Sunday. express your answer in simplest form
Tom had $55.85. He bought a shirt for $14.86, pants for $25.88, and socks for $5.76. Explain (using a sentence) how Tom can estimate the amount of money he has left. Then find the estimate. Round your answer to the nearest dollar.
HURRY! I HAVE FINALS :(
Answer:
$9.35
Step-by-step explanation:
14.86+25.88+5.76=46.5
55.85-46.5=9.35
Answer:
The rounded number would be nine
Step-by-step explanation:
It would be nine because you convert 55.85 to 56 then convert 14.86 to 15 convert 25.88 to 26 and convert 5.76 to 6 then subtract all of that to get nine hope it helps
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
Your cellphone bill in august was $61.43,which was $21.75more than your bill in July.Your cell phone bill in July was $13.62 less than your bill in June.what was your cell phone bill in June?
Answer:
53.3
Step-by-step explanation:
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12 more feet to get a better look at a coral reef.
Complete question :
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
more feet to get a better look at a coral reef.
What is the scuba diver's final position relative to sea level?
Answer:
- 22 feets
Step-by-step explanation:
Given that:
Starting position of scuba diver = 10 feets below sea level = - 10 feets
Then a further descent of 12 feets in other to get a better look of the coral Reef
Further descent = - 12 feets (below sealevel)
Hence, Final position of the scuba diver will be:
Starting position + depth of further descent
(-10 + - 12) feets
-22 feets
Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?
Answer: [tex]61.9miles/hr[/tex]
Step-by-step explanation:
given data:
distance travelled by the car = 195 miles
time taken = 3 hours and 15mins
solution
average speed of the car
[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]
Answer:
The average speed is [tex]v=60 miles/h[/tex]
Step-by-step explanation:
The equation of the average speed os given by:
[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)
here:
Δx is just 195 miles
Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)
So we just need to put this into the equation (1)
[tex]v=\frac{195}{3.25}[/tex]
Therefore, the average speed is [tex]v=60 miles/h[/tex]
I hope it helps you!
Daryl opens his shop at 8:30 AM and closes it at 7:50 PM. How long is the shop open?
Answer:
11 hours 20 minutes
Step-by-step explanation:
HELP!Please answer these for me?:)))
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
Simplify 12−3l+5(4−l)
Answer:
−8+32
Step-by-step explanation:
...................
Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 per mile driven. Alejandro has $350 to spend on the rental car fees. Write an inequality to determine how many miles Alejandro can afford to drive.
Answer:
(199+0.32)minus 350
Step-by-step explanation:
199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
what conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0
Answer:
x=-3
Step-by-step explanation:
If x=-3, then
x³+x²-2x+12=-27+9+6+12=-27+27=0
If this is true, then x+3 is a factor. So:
x³+x²-2x+12/x+3=x²-2x+4
So the factors of x³+x²-2x+12 are:
(x+3)(x²-2x+4)
((x²-2x+4) has no real roots)........