The local amusement park is a popular fleld trip destination. This year the senior class at the High
School planned their senior class trip there. The school had to take 24 total vehides between vans
Vand buses. There are 752 total students in the senior class. Each van holds 8 students and each
bus can hold 43 students. How many vans and buses did they have to take?
Answer:
8 vans16 busesStep-by-step explanation:
The given relations can be written as two equations in two unknowns. These can be solved by any of the ususal methods.
__
SetupLet v and b represent the numbers of vans and buses used, respectively.
v + b = 24 . . . . . 24 vehicles were taken
8v +43b = 752 . . . . 752 students were transported
__
SolutionPerhaps the easiest solution is that afforded by a graphing calculator. It shows the solution to be ...
v = 8 . . . . vans required
b = 16 . . . . buses required
__
You can eliminate the v variable by subtracting 8 times the first equation from the second.
(8v +43b) -8(v +b) = (752) -8(24)
35b = 560 . . . . . simplify
b = 16 . . . . . . divide by 35
v = 24 -16 = 8 . . . . . find v from the first equation
They had to take 8 vans and 16 buses.
chocolate milk cow answer
Answer:
what?
Step-by-step explanation:
Answer:
Please tell me what this means.
What is the slope of a line parallel to a line whose slope is -5/2?
A) -5/2
B) -2/5
C) 2/5
D) 5/2
Answer:
A) -5/2
Step-by-step explanation:
Parallel lines have same slope.
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 79.6
Step-by-step explanation:
[tex] \sin( 0) = \frac{opp}{hyp} [/tex]
↓
[tex] \sin(31) = \frac{41}{x} [/tex]
↓
[tex]x = \frac{41}{sin31} [/tex]
↓
x = 79.6
Helpppp :(((( 75 points and brainliest!!!! for good answers only
cos Θ =4/5 and sin Θ<0. Identify the quadrant of the terminal side of Θ and find sin Θ.
option B
Cos theta is positive and sin theta is negative in quadrant IV
[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]
We have to find opposite side using Pythagorean theorem.
x² + 4² = 5²
x² + 16 = 25
x² = 25- 16
x² = 9
[tex]\sf x =\sqrt{9}\\\\x = 3[/tex]
[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]
Common ratio of -1,1,4,8,…
Step-by-step explanation:
-1,1,4,81-2,2-1,6-2,10-2=-1,1,4,8 is my answerFor which division problems should you write the first digit of the quotient in the hundreds place? Choose all that apply. A. 734 ÷ 6 B. 803 ÷ 10 C. 1,090 ÷ 19 D. 5,280 ÷ 48 E. 9,765 ÷ 26
Step-by-step explanation then the answer:
Hey there, I think this question may be a circle all. So the questions with the answer (quotient) being in the hundreds place would be A, D, and E. Those all have quotients in the hundreds place.
PLEASE PLEASE HELP FASSTT
Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
Step-by-step explanation:
Volume of a cone = 1/3 x π x r^2 x h
= 1/3 x 3.14 x (8)^2 x (18)
= 1/3 x 3.14 x 64 x 18
= 1/3 x 3.14 x 1,152
= 1/3 x 3.14 x 1,152
= 1,205.76
= 1,205.8 m^3
*Note*: Alter the pi according to the question always.
question 79 and 80. can someone please help me? thanks to whoever does
Answer:
divide it into a triangle and a segment then use Pythagoras thereom
Is this right? Please hurry and answer
Answer:
right answer
Step-by-step explanation:
A guy name Mac answered a similar question so it’s right.
Whoever explains and puts the right answer will get Brainlisted
Answer:
A
Step-by-step explanation:
The moving averages and exponential smoothing methods are appropriate for a time series exhibiting _____. a. a cyclical pattern b. seasonal effects c. trends d. a horizontal pattern
Answer:
b
Step-by-step explanation:
please teach me how to do this
Check the picture below.
[tex]\cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{38.4}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{2(19.2)}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{1}{2} \\\\\\ 36=18+x\implies 18=x[/tex]
help with homework please!!!!!!
Susan went to a store and bought 3 items. each item cost the same. she spent 12 . how much did each item cost?
Answer:
4 dollars
Step-by-step explanation:
12 divided by 3 is 4
y=(1+2z+3z^3)(5z+8z^2-Z^3)
Answer:
Step-by-step explanation:
multiplying the first bracket with the second (step by step)
= 1( 5z + 8z^2 - z^3) +2z ( 5z + 8^2 - z^3 )+3z^3 (5z + 8^2- z^3)
= 5z + 8z^2 - z^3 + 10z^2 + 16z^3 - 2z^4 + 15z^4 + 24z^5 -3z^6
=5z + 16z^2 + 15z^3 + 17z^4 + 24z^5 -3z^6
Find the sum of the first 6 terms of the following sequence. Round to the nearest
hundredth if necessary.
324,
54,
9….
Answer:
388.79 (nearest hundredth)
Step-by-step explanation:
Given sequence: 324, 54, 9, ...
Therefore:
[tex]a_1=324[/tex]
[tex]r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16[/tex]
Sum of a finite geometric series:
[tex]S_n=\dfrac{a_1-a_1r^n}{1-r}[/tex]
Sum of the first 6 terms → n= 6:
[tex]\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}[/tex]
So
[tex]\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}[/tex]
[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}[/tex]
[tex]\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79[/tex]
=
Which of the following is the inverse of y=3"?
Answer:
[B] [tex]y=log_3x[/tex]
Step-by-step explanation:
Given:
[tex]y=3^x[/tex]
Exchange the variables:
[tex]x=3^y[/tex]
Putting the variable y on the left side of the equation:
[tex]3^y=x[/tex]
Applying the logarithm properties:
[tex]y=log_3(x)[/tex]
Thus,
[tex]f^-^1=log_3(x)[/tex]
Hence, the answer is [B] [tex]y=log_3x[/tex]
~lenvy~
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
A
Step-by-step explanation:
8-3=5
9/10 -4/10 =5/10
since 5/10 can be simplified to 1/2, it is A
⚠️⚠️⚠️HELP PLS I NEED HELP ⚠️⚠️⚠️
Answer:
8 , 6 , 12
Step-by-step explanation:
What is the area of the figure?
Answer:
20 m^2
Step-by-step explanation:
Area of base rectangle + area of triangle atop the rectangle = total area
8x 2 + 1/2 4 * 2
16 + 4 = 20 m^2
Is x greater than less than or equal to 46 degree
© An object has a mass of 420 kg and a volume of 7 m3.
Find the density of the object in kg/m3.
Answer:
See below
Step-by-step explanation:
you want kg/m^3 so just divide
420 kg / 7 m^3 = 60 kg/m^3
What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0.99 1.65 1.96 2.58
The value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.
What is normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.The confidence level is 95% when finding the margin of error for the mean of a normally distributed population from a sample.
The critical z score value for the confidence level of 95% is 1.96 and +1.96 standard deviation.
Thus, the value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.
Learn more about the normally distributed data here;
https://brainly.com/question/6587992
Answer:
1.96
Step-by-step explanation:
its 1.96 or c on edge 2020
10. A parallelogram has an area of 37
parallelogram is 4 feet, how many feet is the base
square feet. If the hein
A parallelogram has an area of 37 square feet. If the height of the parallelogram is 4 feet, how many feet is the base?
Answer:The base of the given parallelogram is
Step-by-step explanation:Area of a parallelogram is defined as the product of its base and height respectively. Mathematically;
→ Area of parallelogram = base * height
By substituting the given values in the formula, we get the following results:
→ 37 = base * 4
→ base = 37/4
→ base = 9.25
Hence, the base of the given parallelogram is 9.25 feet.
Additional information:Let's know something more about a parallelogram.
What is a parallelogram?
A parallelogram is a special type of quadrilateral whose opposite sides are parallel and hence its opposite angles are also parallel.
What is the formula of a parallelogram?
Let ‘B’ be the base and ‘H’ be the height of a parallelogram then its area is given by,
→ Area of parallelogram = B * H
What is unit of parallelogram?
The unit of a parallelogram is square units.
Help! IXL is so frusturating. it would be great if I could get some help.
Answer:
I would say about 60%
Step-by-step explanation:
since odd numbers are 3 of the 5 total cards 3/5 gets you 60% likely to pull qn odd number.
PLEASE HELP THIS IS TRIGONOMETRY!!!
[tex]\text{Given that, }\\\\~~~~~~~~~\sin \theta = \dfrac 35\\\\\implies \sin^2 \theta = \dfrac 9{25}\\\\\implies 2\sin^2 \theta = 2 \times\dfrac{9}{25}\\\\\implies 1-\cos 2\theta = \dfrac{18}{25}\\\\\implies \cos 2\theta = 1-\dfrac{18}{25}\\\\\implies \cos 2 \theta = \dfrac 7{25}[/tex]
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the sum of all the angles in a triangle is 180°
65°+20°+x = 180°
85°+x = 180°
x = 95°
hope it helps...!!!
Ava opened a account first oak with 5000$. Zoe started an account with 4000$ l. No additional deposit or withdrawal from this account. Hiw much more money will be in avas account than zoes at the end of three years
Answer:
This isnt much of an answer just something to help-
Try doing A(1 + B)^I