3. =1260
Step-by-step explanation:
3.= 9×(32+108)
= 9×140
= 1260 .
An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?
Answer:
The system of linear equations that can be used to determine the time that each of the trains has been traveling is:
E + W = 4 ....... Equation 1
95 E + 110W = 400 ......Equation 2
Hence,
An Eastbound train has been travelling for = (E) = 2.67 hours
A Westbound train has been travelling for = (W) = 1.33 hours
Step-by-step explanation:
An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?
Speed = Distance/Time
Distance = Speed × Time
Let the time
An Eastbound train = (E)
A Westbound train = (W)
E + W = 4 hours ....... Equation 1
95mph × E + 110mph × W = 400 miles
95 E + 110W = 400 miles ......Equation 2
The system of linear equations that can be used to determine the time that each of the trains has been traveling is:
E + W = 4 ....... Equation 1
95 E + 110W = 400 ......Equation 2
E = 4 - W
We substitute 4 - W for E in Equation 2
95 (4 - W) + 110W = 400
380 - 95W + 110W = 400
Collect like terms
95W - 110W = 400 - 380
15W = 20
W = 20/15
W = 1.3333333333 hours
≈ 1.33 hours
E = 4 - W
E = 4 - 1.33 hours
E = 2.67 hours
Therefore,
An Eastbound train has been travelling for = (E) = 2.67 hours
A Westbound train has been travelling for = (W) = 1.33 hours
What is the volume of the prism below?
A. 150 cubic units
B. 300 cubic units
C. 55 cubic units
D. 1,500 cubic units
Answer:
the answer is B.300.Don't forget to mark brainliest
Answer:
a
Step-by-step explanation:
Write in slope intercept form an equation of the line that passes through the given points. (0,4) (4,8) and (-2,3) (-4,4)
Answer:
y-8=1(x-4)
Step-by-step explanation:
I used the equations y-y/x-x and y-__y__=__m__(x-__x__)
Please help I have been stuck for 2 HOURS!
TY
Which numbers are integers?Check all that apply.
O 15
-9
0
0 -3,128
4.76
Ur welcome
Answer:
15, -9, and 0
Step-by-step explanation:
Integers are whole numbers like; -3, -2, -1, 0, 1, 2, 3, and so on. Fractions and decimals are not integers because they are parts, not wholes.
Answer:
The one at the top is the answer. She is smart lol
Step-by-step explanation:
Good job whoever posted that pic!!!!!
<33333
Good job nakylanicole
If m ACD=100 degree,then m ECB=[?]
Answer:
100
Step-by-step explanation:
They are the same.
Hope I helped!
Answer:
100°
Step-by-step explanation:
ACD=ECB=100°
[Vertical opposite angles are equal]
The vertices of a triangle are as follows: (6, -3), (1, 5), and (8, -4) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle?
Simplify 7.6 - 23
help me pleaseeee
Answer:
-15.4
Step-by-step explanation:
Simply just means "solve" or "make the equation shorter"
Answer:-15.4
Step-by-step explanation:
six cats catch six mice in six minutes. how many cats are needed to catch 60 mice in 60 minutes
Answer:
10 cats
Step-by-step explanation:
If there are 10 cats, they all will catch 6 mice each, which means 60 mice in total. If they catch 6 mice in 6 seconds, that means they will catch 60 mice in 60 seconds. You need 10 cats to get this task done
Katana has a shelf that is 5 feet long.She wants to paint a design along 7/10 of the shelf. How many feet of the shelf will katana paint a design
Answer:
7.14285714286
Step-by-step explanation:
you basiclly just divide 5 by 7/10 or 5/1 divided by 7/10
help, brainliest to whoever answers
determine the area of a circle whose circumference is 70
Whoever answers gets brainlist!
Answer:
Its A and C
Step-by-step explanation:
√73= 8.54
Its on the left side of 9 and on the right side of 7.
Ruben can paint 6 1/2 square meters per hour at the same rate how many square meters can he paint in 2 1/2 hour.?
Answer:
The number of square meters that Ruben can pain in 2 1/2 hours is:
16 1/4m²
Step-by-step explanation:
a) Data and Calculations:
Number of square meters that Ruben can pain in one hour = 6 1/2m²
Therefore, every 1/2 half he can paint 3.25m² or 3 1/4m²
In two hours, he can pain 6 1/2m² * 2 = 13m²
Using the same rate, in 2 1/2 hours, he can pain =xm² (0r 13m² + 3 1/4m²)
x = 6.5 * 2.5
= 16.25
= 16 1/4m²
b) Since Ruben can paint 6 1/2m² in one hour, he can then paint more square meters, multiplied by 2.5 in 2 1/2 hours. This means that he will be doubling the square area he can paint in 2 hours and painting half of the square area in 1/2 hour's time, given his speed.
How many square meters can he paint in 2 1/2 hour is 65/4 square meters
Given:
Square meters per hour= 6 ½
Number of hours =2 ½
Let x represent how many square meters he can paint in 2 1/2 hour
First step is to convert the mixed numbers to improper fractions
6 ½= 13/2
2 ½ = 5/2
Now let determine how many square meters he can paint in 2 1/2 hour
x=(13/2)× (5/2)
x= 16.25 or 65/4
Inconclusion How many square meters can he paint in 2 1/2 hour is 65/4 square meters.
Learn more here:
https://brainly.com/question/14170216
Harold cut 18 1/2 inches off a rope that was 60 inches long.
Answer:
41.5?
Step-by-step explanation:
is that it to the question or is there more?!?!
Answer:
0.42
Step-by-step explanation:
60-18= 42
42/100=0.42
(Hope this helped! :D)
Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Marty’s earnings last week?
Answer:
Step-by-step explanation:
Marty's earnings = 8.50 x 19.5 = 165.75
How far will 25 N of force stretch a spring with a spring with a spring constant of 125 N/m?
Answer:
-0.656168ft
Step-by-step explanation:
If Spring force constant (k) is 125 N/m
And the force is (F) 25 N ,
then the spring displacement (Δx) -0.656168
Equation used:
Knowing Hooke's law, we can write it down it the form of a formula:
F = -kΔx
F is the spring force (in N);
k is the spring constant (in N/m); and
Δx is the displacement (positive for elongation and negative for compression, in m).
Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by function f. If Steve has $5,000 in the account 20 weeks after the account is opened, which TWO of the following must be true?
The missing options are:
[tex]A.\ f(20) =5,000[/tex]
[tex]B.\ f(5000) = 20[/tex]
C. In the xy plane, point (20, 5,000) is on the graph y = f(x).
D. In the xy plane, point (5,000,20) is on the graph y = f(x)
Answer:
[tex]A.\ f(20) =5,000[/tex]
C. In the xy plane, point (20, 5,000) is on the graph y = f(x).
Step-by-step explanation:
Given
Represent amount with y and weeks with x
So, we have:
x = 20 when y = 5000
Required
Select 2 correct options
A point on a graph can be illustrated using [tex](x,y)[/tex]
So, when x = 20 and y = 5000 ----- given
[tex](x,y)[/tex] implies that:
[tex](x,y) = (20,5000)[/tex]
We got [tex](20,5000)[/tex] by substituting 20 for x and 5000 for y
From the list of given options, the above represented of (x,y) is illustrated in option C
Represent (x,y) as a function, we have:
[tex]y = f(x)[/tex]
Substitute values for x and y
[tex]5000 = f(20)[/tex]
Reorder
[tex]f(20) = 5000[/tex]
The above is illustrated in option A
Hence, A and C answers the question
In 2010, the population of some countries was 1,200,000 people. From 2010 to 2050, the population is expected to increase by 50%. Find the expected population of the country in 2050.
The population of the country in 2050 is expected to be ______people. (Simplify your answer.)
Answer:
7,200,000
Step-by-step explanation:
You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.
Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31
Answer:
january 5 :12
january 10:22
Step-by-step explanation:
Answer:
16 pennies512 pennies1073741824 penniesStep-by-step explanation:
We can see a pattern:
Days >> Pennies1 >> 1= 2^02 >> 2= 2^13 >> 4 = 2^24 >> 8 = 2^3...n >> 2^(n-1)So
January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 pennies2 1/7 divided by 1 2/5
The graph shows the probability of cardiovascular disease by age and gender
Answer:
Can you add a screenshot or better quality image so I can answer
Step-by-step explanation:
The price of a notebook has Risen to $9.61today. Yesterday’s price was $9.72 Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer: 1.1%
Step-by-step explanation:
$9.72 - $9.61 = .11
.11/9.60 = 0.01145833 x 100 = 1.1458333 round to the nearest tenth = 1.1%
I need someone to give me the stupidest answer ever and Ill give all my points and brainliest
Answer:
otay wait why am i here?
Find the slope of the line that passes through (64, -7) and (54, 67).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-37/5 because you subtrace both y values on the numerator to get 74 and on the bottom you do the same for x and get -10 and then you simplify to get -37/5
A car drives 120 miles in 2 hours Find the speed
Answer:
60 miles per hour
Step-by-step explanation:
Divide 120 miles by 2 hours and you get 60 miles per hour.
Answer:
60 mph
Step-by-step explanation:
120/2=60
If the car drives 120 miles in 2 hours, divide 120 by 2 to get the unit rate
A certain shows two s. A is long but is long on the . What is the unit rate for per on this ? If B is long, how long is B on the ? The unit rate is nothing () per .
Answer:
44
Step-by-step explanation:
Pauline Romer has taken a $100000 mortgage loan on her house at an interest rate of 3 percent per year. If the mortgage calls for 20 equal annual payments, what is the amount of each payment?
Answer:
5000
Step-by-step explanation:
Using the mortgage interest principle, the amount of equal payment to be made ls $8000
Mortgage payment = $100000
Interest rate = 3%
The total amount to repayed can be calculated thus :
Mortgage payment × interest rate × timeNumber of annual payments = 20
Total repayment = 100000(1 + (0.03 × 20))
Total repayment = 100000 + 60000 = $160,000
Amount of each payment = $160000 / 20 = $8000
Therefore, the amount to be repayed annually is $8000
Learn more : https://brainly.com/question/18904995
Someone please help me with this (look at the image above)
9514 1404 393
Answer:
a) base: 29.4377 cm
b) hypotenuse: 30.7827 cm
c) area: 132.470 cm²
d) perimeter: 69.2204 cm
Step-by-step explanation:
a) The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(17°) = (9 cm)/base
base = (9 cm)/tan(17°) = 29.4377 cm
__
b) The sine relation could be used in the same way to find the hypotenuse:
hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm
However, we're instructed to use the Pythagorean theorem. So, we have ...
hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm
__
c) The area is half the product of the base and height:
A = 1/2bh
A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²
__
d) The perimeter is the sum of side lengths:
P = base + hypotenuse + height
P = (29.4377 +30.7827 +9) cm = 69.2204 cm
NEED HELP ASAP WILL MARK BRAINLIEST
Answer:
Its the second one....
Step-by-step explanation:
Answer:
11x+12
Step-by-step explanation:
3x + 2x+2 + x+10 + 5x= 11x+12