Answer:
720 miles
Step-by-step explanation:
A car uses 8.4 liters of petrol for a 112 mile journey.
In 1 litres = [tex]\dfrac{112}{8.4}\ \text{miles}[/tex] of journey
We need to find far should the car be able to travel on a full tank of petrol i.e. 54 litres of petrol.
[tex]54\ l=\dfrac{112}{8.4}\times 54\\\\=720\ \text{miles}[/tex]
So, the car can travel 720 miles when it holds 54 lirres of petrol.
Please Help! Will give 15 points!!!
4. Find the sum of (0.75x - 12y) and (-5 + 6y - 0.5x)
Show each step of your work.
5. Which expression(s) is/are equivalent to 8-2(5x-3). Show your work to justify your decision.
a. 6(5x-3)
b. 8-10x+6
c. 8-(10x-6)
d. 8-10x-6
e. -10x+14
6. In math class, students are attempting to simplify the expression written on the board: 7 - 2 (3 - 8x)
Three students make an attempt at a first step:
Len writes: 5 (3 - 8x)
Monty writes: 7 - 2 (-5x)
Nailany writes: 7 - 6 - 16x
Do you agree with any of the students? Explain your reasoning for each one.
Answer:
yo i only got number 4 for you but here it goes.......: 0.70x+18y-5
Step-by-step explanation:
(0.75x - 12y) + (-5 + 6y - 0.5x)
regroup to the variables : (0.70x-0.5x) + (12y+ 6y-5)
put it together: (0.70x)+(18y-5)
you cant add unlike terms so you remove the parenthesies and your done.
what is (10 - 3 x 2) to the power of 2?
Please help!
Answer:
The answer is 16
Step-by-step explanation:
Multiply -3 by 2
(10-6)^2 ^2=power
subtract 6 from 10
4^2
Raise 4 to the power of 2
16
.
Answer:
16
Step-by-step explanation:
= (10 - 3 x 2) ^ 2
= (10 - 6) ^ 2
= 4 ^ 2
= 16
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Can you explain LCM and GCD please?
(Least Common Multiple and Greatest Common Divisor)
Answer:
I got you lol
Step-by-step explanation:
Let's say you want to calculate the GCD and LCM of two numbers: 12 and 28. First, determine the prime factorizations of 12 = 2 × 2 × 3 and 28 = 2 × 2 × 7. The GCD is the string that is present in both sets of factorizations, i.e., 2 × 2 = 4. The LCM is the greatest power of all exponents; 2 × 2 × 3 × 7 = 84.
simply put, The Least Common Multiple (LCM) of two integers a and b, usually denoted by LCM (a, b), is the smallest positive integer that is divisible by both a and b.
GCD is the largest number that divides 2 numbers equally and gives remainder 0.
The student council made a pront of $3,000 on a car wash. If they invest the money at 5% interest
compounded yearly, how much money would they have in four years?
Answer:
$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Step-by-step explanation:
We are given:
Principal Amount = $3000
Interest Rate r = 5% or 0.05
n=1 (compounded yearly)
Years t= 4
We need to find future value (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values in formula and finding future value A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375[/tex]
So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
find the measure of y
please
Answer:
y=140
Step-by-step explanation:
if it's an option
bologna is hot dog pancakes! ;)
Answer:
cool
Step-by-step explanation:
I have no idea what this means but good on u:)
Answer: haha is it weird that i want bologna now lol
Step-by-step explanation: have a nice night :)
Question 2 (1 point)
In a football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals. The team scores six times. Write
and solve a system of equations to find the number of touchdowns and field goals that the home team scored.
Answer:
(2,4)
Step-by-step explanation:
Equation 1:
x+y=6(for the 6 times they scored)
x=-y+6
Equation 2:
7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)
7(-y+6)+3y=26(replace x with -y+6)
7y+42+3y=26(distrubite property)
-4y+42=26
-4y= -16
y= 4
Now that we know that y is equal to 4:
x+4=6
x=2
The number of touchdowns and field goals that the home team scored are 2 and 4 respectively
Let the number of points touch down be xLet the number of -point field goals be yIf the team scored six-time, this is expressed as;
x + y = 6
y = 6 - x ........................ 1
If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;
7x + 3y = 26 ...................2
Substitute equation 1 into 2 to have:
7x + 3(6-x) = 26
7x + 18 - 3x = 26
4x + 18 = 26
4x = 26 - 18
4x = 8
x = 2
Recall that y = 6 - x
y = 6 - 2
y = 4
Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively
Learn more on simultaneous equations here: https://brainly.com/question/6597041
I need help plz asap
================================================
Explanation:
Check out the diagram below.
Segment BD cuts angle EBC in half
So the two smaller pieces DBC and DBE are congruent. Let's call them x.
Let's make y = angle EBA.
Note how the diagram shows the angles x, x, and y forming a straight angle. So we can say
x+x+y = 180
2x+y = 180
y = -2x+180
We'll use this later.
For now, focus on triangle DEB. Angle E is 90 degrees and angle B is x.
D+E+B = 180
28+90+x = 180
x+118 = 180
x = 180-118
x = 62
Which means
y = -2x+180
y = -2*62+180
y = -124+180
y = 56
Now focus on triangle BEA. We have B = 56, E = 90 and A = z
B+E+A = 180
56+90+z = 180
146+z = 180
z = 180-146
z = 34
which is the measure of angle A.
What is the product of d – 9 and 2d2 + 11d – 4?
Answer:
yes
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rocket and find the time the rocket was in the air.
Step-by-step explanation:
The height, h in feet, of a rocket is given by, where t is time in seconds.
[tex]h=-16t^2+64t+190[/tex] ...(1)
We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
So, it will reach its maximum height in 2 seconds.
Now put t = 2 in equation (1) as follows :
[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]
So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.
HELP ASAP I ONLY HAVE 6 MINUTES LEFT!!
I'll give brainliest to the answer I like best!!
find the radius diameter circumference and area of the circular object (one of these measurements is given in the problem). Round all answers to the nearest whole number.
The tires on a mining truck are 14 ft tall.
Radius: _____ft
Diameter: _____ft
circumference: _____ft
area: _____ft
Step-by-step explanation:
diameter=14ft
radius=7ft
circumference=2πr
=2×3.142×7
=43.988ft
=44ft(to the nearest whole number)
Area= πr2
=3.142×7×7
=153.958ft
=154ft(nearest whole number)
The temperature in Australia is 95 degrees and decreasing at a rate of 4 degrees per day. The temperature in the US is 40 degrees and is increasing at a rate of 5 degrees per day. For how many days will Australia be warmer or the same as the US?
Answer:
For 6 days
Step-by-step explanation:
Here, we want to find the number of days at which Australia will have a bigger temperature or the same temperature as US
95 degrees, decreasing at 4 degrees per day
40 degrees, increasing at a rate of 5 degrees per day
let the number of days be x
In x days, temperature of Australia will be 95-4x
In x days, temperature of US will be 40 + 5x
For the temperature to be same;
40 + 5x = 95 - 4x
95-40 = 5x + 4x
9x = 55
x = 55/9
x = 6.111 which is approximately 6
For 6 days, the temperature in Australia will be warmer , on the 7th day, the US temperature becomes warmer
A possible reason for inaccurate measurement
Answer:
Random Errors. Random errors are ones that are easier to deal with because they cause the measurements to fluctuate around the true value. ...
Systematic Errors. ...
What Causes Measurement Errors? ...
Instrument Errors. ...
Calibration. ...
Instruments Getting Old. ...
Operator Errors. ...
Measurement Location Errors.
Step-by-step explanation:
Which Figure is a rotation of the Blue Figure?
A
B
C
D
For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?
Answer:
40 rubber bands are needed
5 rubber bands will be left from 5 bags of of rubber band
Step-by-step explanation:
Each student will need five rubber bands.
There are eight students
Total rubber bands needed = rubber bands per student × number of students
= 5 × 8
= 40
Total rubber bands needed = 40
Rubber bands come in bags of nine.
Number of bags needed = Total rubber bands needed / number of rubber bands in each bag
= 40 / 9
= 4.44 bags
It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5
5 rubber bands bags will be bought which = 5 × 9
= 45 rubber bands
Only 40 rubber bands are needed
Left over rubber bands = 45 - 40
= 5 rubber bands
Select the correct answer
Which statement is true about the slope of the graphed line?
A the slope is negative B the slope is positive. C the slope is negative D the slope is undefined
Answer:
the slope is positive B
Answer: The answer is B hope that helps you!!
Step-by-step explanation:
i just need the last 2 boxes. PLZ HELP
Answer: first box: 1/8
second box: 4
Step-by-step explanation:
The ratio of boys to girls in Ms. Alper’s math classes is 5 ∶ 7. If there are 60 boys in all of her classes, how many girls are there ?
Plz help im so dumb ;-;
Answer:
I think it's 80 I'm sorry if I'm wrong
Answer:
the person above is incorrect I think it may or may not be 75
PLEASE HELPPPPP MEEE♥️♥️♥️♥️
Answer:
[tex](.2246 \\ 5513[/tex]
help immediate i will mark you brainliest
Answer:
What's the question?
A stick is 20cm long.A student makes a 5% error in measuring the stick. find two possible values for the student's measurement
The two possible measurements given by the student are :
19 cm or 21 cmGiven the Parameters :
Length of stick = 20 centimeters Percentage Error in measurement = 5%The length of the error in measurement can be calculated thus :
Percentage error in measurement × length of stick 20 cm × 5% = 1 cmTherefore the student's measurement can be expressed as :
Actual measurement ± actual length 20 - 1 or 20 + 1 19 or 20Therefore, the possible measurements of the student are 19 or 21 cm
Learn more : https://brainly.com/question/18796573
A cell phone tower casts a shadow 150 feet long. A tree nearby that is 30 feet tall casts a shadow that is 20 feet long. How tall is the cell phone tower
Answer:
[tex]90,000^{3}[/tex] (90,000 cubed)
Step-by-step explanation:
150 x 30 x 20
y’all what is 1/7=1/7x-3
Answer:
x=22
Step-by-step explanation:
Addison's office recycled a total of 12 kilograms of paper over 6 weeks. After how many weeks will Addison's office recycle 10 kilograms of paper?
Answer:
5 weeks
Step-by-step explanation:
is she recycles 12 in 6 weeks that's 2 per week. So 2x5=10
Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.
y=9+9 because when you take that factor off you add 8 + 1
TPPC 22345 is a non-real time plan. What does non-real time mean?
The equation that represents the linear relationship is y =
Will give brainlist
Answer: Y=150
Step-by-step explanation: SIMPLE MATH
Sandra can run 5 miles per hour. Write an equation to show the relationship between the amount of hours, h, and the total distance, d. Explain how you got your answer.
Answer:
d=5h because the number of hours run multiplied by 5 would equal the
total distance.
I don’t understand
2(2a-7b) do we put it as 4a-18b or 4a-18
Answer:
2(2a-7b) = 4a-14b
Step-by-step explanation:
You have to multiply both the numbers inside brackets (2a,7b) with 2 .....
Help find domain and range
Answer:
Another way to identify the domain and range of functions is by using graphs.
Step-by-step explanation:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Answer:
Answer is 13
Step-by-step explanation:
Putting 3 in x
5.3-2
15-2