Sam is making a delivery to a store. The total trip will be 410 miles. He is driving at a constant rate of 65 miles per hour. He has already driven 20 miles. How much longer will it take him to get to the store?
Answer:
6 hours
Step-by-step explanation:
20 + 65x=410
65x=390
x=6
12 Units to the right of zero on a number line
Answer:
12
Step-by-step explanation:
0 + 12 = 12
Answer:
12
Step-by-step explanation:
the 2 numbers 12 units away from 0 are 12 and -12
since it's to the right of 0, it's positive
18% as a fraction in its simplest form
Answer:
9/50
Step-by-step explanation:
18% = 18/100
GCF of 18 and 100 = 2
(18 ÷ 2)/(100 ÷ 2)
9/(100 ÷ 2)
9/50
what is the slope between (5,0) and (6,0)
Answer:
m=0
Step-by-step explanation:
Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..
He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.
What is the percentage profit on the sheep?
Answer:
Let's define:
G = cost of a goat
S = cost of a sheep.
We know that the total cost for a goat and a sheep is £120, then:
S + G = £120
And the cost of the goat is twice the price of the sheep, then:
G = 2*S
To solve this system, we can just replace the second equation into the first one, then we get:
S + (2*S) = £120
3*S = £120
S = £120/3 = £40
This means that each sheep costs £40
And the cost of a goat is:
G = 2* £40 = £80.
Now we know that he sold both of them, where:
s = price of the sheep
g = price of the goat.
We know that he sold both of them for £180, then:
s + g = £180
And the profit of the sheep is twice the profit of the goat, then:
(s - S) = 2*(g - G)
(s - £40) = 2*(g - £80)
s - £40 = 2*g - £160
Then we have a system of equations:
s + g = £180
s - £40 = 2*g - £160
To solve this, we first could isolate g in the first equation:
g = £180 - s
Replacing this in the other equation we get:
s - £40 = 2*( £180 - s) - £160
s - £40 = £360 - 2*s - £160
s - £40 = £200 - 2*s
s + 2*s = £200 - £40 = £160
3*s = £160
s = £160/3 = £53.33
Then the percentage profit for the sheep is:
percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%
Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.
Write the equation of the line with a slope of 10 that goes through the point (8. -2) in Slope-Intercept and Point-Slope Form.
Slope-Intercept Form:
Answer:
Slope-Intercept: y = 10x - 82 Point Slope form: y + 2= 10(x - 8)
Step-by-step explanation:
To create a Slope-Intercept form, you need to first find the y-intercept. To do that, you need to plug in the coordinates in the eqaution so far, y = 10x +b.
y = 10x +b.
-2 = 10(8) + b
-2 = 80 + b
-82 = b
y = 10x - 82
Point Slope form: y + 2= 10(x - 8)
If you make $400 a week for exactly 2 months how much do you have?
Answer:
$3200
Step-by-step explanation:
4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib
Answer:
2/7
Step-by-step explanation:
There are 7 days in a week, and 2 days start with the letter T.
A farmer is painting his silo. A typical can of paint covers 400 squared meters. How many cans of paint will the farmer need to buy in order to paint the entire exterior of the silo?
Answer:
about 13 cans of paint
Step-by-step explanation:
To find how many cans the farmer needs to buy, you need to know the surface area of both the cone and cylinder.
The way to find the SA of the cone would be area = 3.14 x r^2 + 3.14 x r x sqrt(r^2 + h^2).
SA= 1976.0617791 m^2.
The way to find SA of the cylinder under the cone would be 3.14 x d x (d / 2 + h).
A = 3097.6103564 m^2
Then you have to add 1976.0617791+3097.6103564 which gives you 5,073.8. (5,073 being total surface area of the silo)
Next divide that by 400.
5,073.8/400 = 12.7
He would need to buy about 13 cans of paint to be able to paint the entire silo.
Select all the system of equations that have exactly one solution
A- y=2x+1
y=x+2
B- -x+10
-x+12
C- y=3x+1
y=3x+7
D- y=4x
y=x-6
Answer:D
Step-by-step explanation:
What's the greatest common factor of 30 and 15 and 60
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet
and the volume of each large box is 22 cubic feet. A total of 22 boxes of paper were
shipped with a combined volume of 324 cubic feet. Write a system of equations that
could be used to determine the number of small boxes shipped and the number of
large boxes shipped. Define the variables that you use to write the system.
Answer:
10 small boxes and 12 large boxes
Step-by-step explanation:
Let x = number of large boxes
Let y = number of small boxes
We are told that;
volume of each small box = 6 cubic feet
volume of each large box = 22 cubic feet.
Total volume = 324 ft³
Thus;
6x + 22y = 324 - - - (eq 1)
We are told that 22 boxes of paper were shipped.
Thus; x + y = 22 - - - (eq 2)
Making x the subject in eq 2 gives;
x = 22 - y
Put 22 - y for x in eq 1;
6(22 - y) + 22y = 324
132 - 6y + 22y = 324
16y = 324 - 132
16y = 192
y = 192/16
y = 12
So, x = 22 - 12 = 10
Correct answer pleaseeeee
A financial analyst constructs a statistical model to represent the market shares of several similar companies.She then collects data over the next month to evaluate her model.At the end of the month,she finds that for one of the companies,the difference between her model and the data is 5%.
She decides to collect dats for an additional two months. If her model is valid,what could she except from the total data collected after three months?
A.)The difference between the data and the model will get larger.
B.)it is important to predict how the difference between the data and the model will change.
C.)The difference between the data and the model will get smaller
D.) The difference between the data and the model will stay the same
Answer:
D
Step-by-step explanation:
The difference between the percentage of the data and the model will stay the same.
Answer:
will get smaller.
Step-by-step explanation:
plz help me with these questions tomorrow is my exam and i need to practice them
Answer:
good luck !!!!!!!
hope this help for you !!!!!
help me pls not too much!!
Can someone help me with this?
Answer:
I think it's y= +10
not sure tho :))
please help me this is all my grade!!!!
Please help! would really appreciate it.
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude² = hypotenuse²
15² + altitude² = 17²
225 + altitude² = 289
altitude² = 289 - 225
altitude² = 64
altitude² = 8²
altitude = √8²
altitude = 8
P = 8 + 15 + 17 = 40 units
[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]
I really need help on this one I
Answer:
60
Step-by-step explanation:
60
39 mm 52 mm What is the length of the hypotenuse?
Answer:
65
Step-by-step explanation:
a^2 + b^2 = c^2
39^2 + 52^2 = c^2
1,521+2704 = c^2
4,225 = c^2
Find the square root of both
65 = c
work out the gradient of a line which has a gradient of 2 and passes through the point (1,4).
help i don't know what to do and im tired
Answer:
1. Shade 7 boxes in.
If 100% is 400 each 10% segment would be 40 and in order to get 70% (or 280) we shade in 7 boxes.
2. The football team scored 280 points. We get this number by multiplying .70 by 400
3. Marcy would spend more money.
To do this problem we multiply the percent by how much they have to get how much they spend.
Stephenson: 12% of 200$
.12 x 200 = 24$
Marcy: 8% of 350$
.08 x 350 = 28$
A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature.
A number line going from negative 2 to positive 2.
Which numbers are solutions of the inequality? Choose all that apply.
–2
0
1
–10
–3
–1
Answer:
its 145
Step-by-step explanation:
Answer:
D: –10
Step-by-step explanation:
edge2020
A ferris wheel can accommodate 50 people in 15 minutes. How many people could ride the ferris wheel in 3 hours?
Answer:
this is how you solve it
Step-by-step explanation:
so how many times can 15 fit in 1 hour
4 times right?
15 x 4 = 60
theres 3 hours
60 x 3 = 120!
120 is ur answer
hope this helps
have a great day
stay safe
I need help please ??
Answer:
a. 2(4*8 + 8*6 + 4*6)
2(32+48+24)
2(104)
208 in^2
b. 4*8*6 = 192 in^3
convert 5 km into millimeters
Answer:
5000000mm
im smart
Answer:
5,000,000mm
Step-by-step explanation:
1km = 1000m
1 m = 100cm
1cm = 10 mm
5km = 5000m
5000m = 500,000cm
500,000cm = 5,000,000mm
the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height
Answer:
6 cm
Step-by-step explanation:
Exercise 5<br />Part 1<br />Calculate by justifying the measurement of angles: CAD and CDA<br />B<br />45<br />432<br />35.35<br />Part 2<br />1) give the value of BD 92<br />2) show that AD = V50<br />3) show that AC = 50<br />3) calculate the exact value of CD<br />30<br />Part 3<br />Check that x is the difference between the perimeters of triangles ABC and ABD<br />Part 4<br />1) Give the exact value of the area of ABD then that of ACD<br />2) Complete with the exact value then approximate: area of ABD =<br />X area of ACD
how much simple interest is earned on 3,500 in 3 1/2 years interest rate of 1.5%
Answer:
Loan amount
3,000
$
Interest
1.5
%
Payment
45
$
/
per year
Step-by-step explanation:
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST