Answer:
C. 13 gallons
Step-by-step explanation:
150 divided by 6 is 25. 325 divided by 25 is 13.
To travel 325 miles the van needs C. 13 gallons of gas.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A van travels 150 miles on 6 gallons of gas.
So, In one gallon the van travels (150/6) = 25 miles.
∴ To travel 325 miles the van needs (325/25) = 13 gallons of gas.
learn more about the unitary method here :
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3 to the fourth power +9
Answer:
81
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
Answer: 90
Step-by-step explanation:
3 to the fourth power = 81
81 + 9 = 90
for what value of x is the equation 2x-3 over -3+4 =3 true
Answer:5
Step-by-step explanation:
......
The 7th grade class is going on a trip to Disneyland there are 162 learners and 24 LF's attending the trip one bus can hold 65 people how many buses do they need to order to take everyone to Disneyland
Answer: about 3 buses
Step-by-step explanation: 162+24=186 and 65*3=195 so 3 buses is enough
Hope this helps:)
The width of a rectangle is 5 times its length. The perimeter is
53.
Find the width and length of the rectangle.
HELP. MATH FINAL DUE SOON....
Answer:
L = x
W = 5x
P = 2 (L + W)
53 = 2(x + 5x)
53 = 2(6x)
53 = 12x
x = 4/5/12
L = 4/5/12
W = 22/1/12
Suck please help thanks
If a survey is selected at random, what is the probability that the student is a girl who chose apple as her favorite fruit
Answer:
0.15
Step-by-step explanation:
Total number of students surveyed = 300
From the table,
(Girl n apple) = 46
P(girl n apple) = 46 / 300 = 0.153
The white Christmas tree is 7.55m tall.the green Christmas tree is twice as tall as the white Christmas tree which is 0.454m taller the golden Christmas tree. What is the total height of the 3:Christmas tree? A 37.296m b .372.96m.c.3729.6m.d.37296
help me guys
The white Christmas tree is 7.55m
Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m
High golden Christmas tree: 15.1m - 0.454m = 14.646m
The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m
Choose: A 37.296m
Help!!!!!!Solve for X. Round to the nearest tenth of a degree, if necessary.
Type SSS, SAS, ASA, AAS, or HL to justify why the two larger triangles are congruent. B с AC = DB D Enter
Answer:
HL
Step-by-step explanation:
The two larger triangles shown in the diagram above each has a corresponding leg that is congruent to each other (BC = BC).
Also, we are given that the hypotenuse AC of one is congruent to the hypotenuse DB of the other.
This satisfy the Hypotenuse-Leg Congruence Theorem. Thus, the two larger triangles are congruent based on the HL Congruence Criterion which says two triangles are congruent if the leg and hypotenuse of one is congruent to the corresponding leg and hypotenuse of the other.
PLEASE HELP QUICK!!!
COMPOUND INTEREST!!!
$600 is deposited in an account that pays 7% annual interest, compounded continuously. What is the balance after 5 years?
9514 1404 393
Answer:
$851.44
Step-by-step explanation:
The balance is given by the formula ...
A = Pe^(rt) . . . . principal P, interest rate r, t years
Using the given numbers, we find the balance to be ...
A = $600·e^(0.07·5) ≈ $851.44
What is the value of N in this proportion 16/40= 8/n
Answer:
n = 20
Step-by-step explanation:
[tex]\frac{16}{40} = \frac{8}{n}[/tex]
Cross multiplication would result in:
16 * n = 8 * 40
16n = 320
n = 320 / 16
n = 20
Therefore the value of "n" in this proportion is 20.
Hope this helps!
PLS ANSWER RN
What is the area of AJKL?
Answer:
8.5
Step-by-step explanation:
slope of the line that contains KL
(y2 - y1)/(x2-x1)
(0-1)/(7-3)
m = -1/4
slope of the line that contains JK
(5-1)/(4-3)
m = 4
the linea are perpendicular so triangle is right
area = (leg1 x leg2)/2
KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]
KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]
area = (√17)^2/2 = 17/2 = 8.5
PLEASE HELP ASAP/ SOON
THANK YOU
Find the sum, if it exists, of the infinite geometric series that is related to the infinite geometric sequence {1,521, ; 1,369 ; 1,232; ...}. Round the value of r to the nearest hundredth, if needed
S = 16,643
S = 15,210
The infinite geometric series diverges.
S = 12,560
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
what is the solution set for this inequalty? -8x + 40> -16
Answer:
x < 7
Step-by-step explanation:
-8x + 40> -16
Subtract 40 from each side
-8x + 40-40> -16-40
-8x >-56
Divide each side by -8, remembering to flip the inequality
-8x/-8 < -56/-8
x < 7
An alligator if drawn at the scale of 1:84. In the drawing, it is 5.9 cm long. How long is the actual alligator? i am having troubles please help.
Answer: r
Step-by-step explanation:
Answer:
495.6 cm, or 4.956 m
Step-by-step explanation:
1:84 means that a centimeter on the drawing has to be multiplied 84 times in order to find the real length. Therefore, 5.9 x 84 = 495.6
A two dimensional shape with four angles
Answer:
A rectangle I think
Gor is running a bakery. He has made a street sign to direct people to his
bakery. He painted one side of the post and sign. What is the painted area?
15 in
15 in
8 in
50 in
6 in
A. 390 square inches
B. 585 square inches
Answer:
B.
Step-by-step explanation:
The street sign is composed of two rectangles and 1 triangle.
Painted area = area of triangle + area of rectangle 1 + area of square
✔️Area of triangle = ½bh
b = 15 in.
h = 8 in.
Area of triangle = ½*15*8 = 60 in.²
✔️Area of rectangle 1 = L*W
L = 50 in.
W = 6 in.
Area = 50*6 = 300 in.²
✔️Area of Square = s²
s = 15 in.
Area = 15² = 255 in.²
✅Painted area = 60 + 300 + 225 = 585 in.²
Answer:
B. 585 square inches :)
Step-by-step explanation:
the parabola y=-x^2+12x-11 has an axis of symmetry of x=6. which of the following represents its range?
1) y>-11
2)y<25
3)y<6
4)y>10
(all of the ">/<" are underlined ones)
Answer: 1) y>-11
Step-by-step explanation:
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
Complete all the problems.
1.
X - 6 = -24
Solve for x.
Answer:
x= -18
Step-by-step explanation:
x= -24 + 6
Add -24 and 6.
x= -18
Answer:
X = -18
Step-by-step explanation:
You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.
1. Set up your equation
X - 6 = -24
+6 +6
2. Solve out
X - 6 = -24
+6 +6
X = -18
Answer: -18
A man bought a house for 3600 Naira he repairs the house with 150 Naira if he sold the house for 4950 Naira . Find his percentage profit
Step-by-step explanation:
profit%=
[tex] \frac{selling \: price - cost \: price}{cost \: price} \times 100\%[/tex]
[tex] \frac{4950 \: naira - 3600 \: naira + 150 \: naira}{3750 \: naira} \times 100\%[/tex]
[tex] \frac{4950 - 3750}{3750} \times 100\%[/tex]
[tex] \frac{1200}{3750} \times 100\%[/tex]
=36%
What do the value of
(5 1/3)^3
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....A tortoise and hare are competing in a race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
If we want to compute the number of seconds needed for the hare to finish the race, which of the following procedures should be used?
A. Solve g(t)=0 for the value of t.
B. Solve g(t)=1000 for the value of t.
C. Evaluate g(0).
D. Solve f(t)=g(t) for the value of t.
E. Evaluate g(1000).
Answer:
g(t) = 0; solve for t
Step-by-step explanation:
Given
Options (a) to (e)
Required
Which of the options is true
From the question, we understand that: g(t) represents hare's time to complete the race
At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.
Take for instance:
[tex]g(t) = 10 - t[/tex]
The time to complete the race is: g(t) = 0
So, we have:
[tex]0 = 10 - t[/tex]
Collect like terms
[tex]t = 10[/tex]
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Linear equation
Linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).
Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Find out more on Linear equation at: https://brainly.com/question/13763238
Select all that are true for Triangle PQR
In other words, only choice A and choice D are false.
====================================================
Explanation:
An included angle is one between two given sides. Think of the angle sandwiched in between.
For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.
In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.
------------------------
For choices D through F, we'll just take this logic in reverse.
The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.
Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.
------------------------
Overall, we have four true statements and they are choices B, C, E and F.
A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38) (−5, −38) (5, 38) (5, −38)
Answer:
(5,38)
Step-by-step explanation:
Use graphing calculator and the answer should be the point where the line crosses each other.
Answer:
5,38
Step-by-step explanation:
its correct!
Goldilocks needs to find at least 12 lbs gold and 18 lbs silver to pay monthly rent. Each day in Mine 1 she finds 2 lbs gold and 2 lbs silver. Each day in Mine 2, she finds 1 lb gold and 3 lbs silver. Set up and solve using either LPsolve or on-line solver How many total days in the mines
Answer:
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Step-by-step explanation:
Requirement : 12 Ibs gold and 18 Ibs silver to pay monthly rent
Mine 1 ; 2 Ibs of gold , 2Ibs of silver.
Mine 2; 1 Ib of gold , 3 Ibs of silver
using LP
Gold : aX1 + bX2 ≥ 12 ---------- ( 1 )
Silver: cX1 + dX2 ≥ 18 --------- ( 2 )
where; X1 = days spent in Mine 1
X2 = days spent in Mine 2
Total days spent in mines : X1 + X2 =
a = Gold found in mine 1 = 2
b = Gold found in mine 2 = 1
c = silver found in mine 1 = 2
d = silver found in mine 2 = 3
Back to equations 1 and 2
2X1 + X2 ≥ 12 ----------- ( 3 )
2X1 + 3X2 ≥ 18 ------------ ( 4 )
solving equations 3 and 4
= 0 + 2X2 ≥ 6 ∴ X2 ≥ 3 days ( days spent in mine 2 )
Input value into ( 3)
2X1 ≥ 12 - 3 = 9
∴ X1 ≥ 4.5 days ( days spent in mine 1 )
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
A classic data set for investigating categorical variables deals with the RMS Titanic. The Titanic sank in the North Atlantic Ocean on April 15, 1912. There were more than 2,000 passengers and crew on board and more than 1,500 did not survive. The data set titanic.jmp located with this homework contains data on 887 passengers. For each passenger, the variables Class (class of the passenger) and Survived (whether or not the passenger lived) were recorded. A main question of interest is whether there is an association between class and survival.
(a) Use JMP to obtain the distribution of the variable Survived. See the Categorical Data JMP guide for any additional help. This is the marginal distribution of Survived. Write down the marginal distribution below (give the categories of Survived and the proportions in each category).
(b) One variable that could be associated with the survival of a passenger is their Class. In studying this relationship, which variable is the explanatory variable? Circle the appropriate answer.
Class Survived
(c) Use JMP to obtain a contingency table and mosaic plot of the relationship between the Class of a passenger and whether or not they Survived. Change the contingency table so that it includes only the Count and Row % values. Print out the output and turn it in with this assignment. See the Categorical Data JMP guide for any additional help.
(d) Give the conditional distribution of Survived given that the passenger was in First class.
(e) Compare this conditional distribution to the overall marginal distribution of Survived from part (a). Are the two distributions similar to each other, or are they different? Explain.
(f) Based on the contingency table and mosaic plot, does it appear there is an association between Class and Survival?
Determine the area for the figure below.
Answer:
Area = 18
Step-by-step explanation:
Trapezoid formula is Area = (a + b) * h/2
Area = 5 + 7 * 3/2
Area = 18
Problem Solving
Find the exact solution of each equation for 0 and greater than or equal to q and less than 2pi.
4 cos^2q=3
HELP ASAP
I NEED HELP
Answer:
1;27
Step-by-step explanation: