One Friday night, two large groups of people called Centerville Taxi Service. The first group
requested 3 sedans and 2 minivans, which can seat a total of 21 people. The second group
asked for 3 sedans and 3 minivans, which can seat a total of 27 people. How many
passengers can each type of taxi seat?
Answer:sedan can hold 3 people and a minivan can hold 9 people.
Step-by-step explanation:
Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B
So 3A + 2B = 21 and 3A + 3B = 27
If we subtract the equations we can solve for B
3A + 3B = 27
-3A - 2B = 21
___________
B = 6
Now we know Each minivan can hold 6 passengers and we can solve for A.
3A + 3B = 27
3A + 3(6) = 27
3A + 18 = 27
- 18. -18
__________
3A = 9
A =3
You can check this by solving the other equation.
3A + 2B = 21
3(3) + 2(6) = 21
9 + 12 = 21
Hope that helps
.18 g = ___ kg ANSWER IF YOU KNOW PLEASE :(
Answer:
.18 grams equals .00018 kilograms
Answer:
.00018 kg
Step-by-step explanation:
To get from grams to kilograms, you divide by 1000, so you have to divide .18 by 1000. 0.18/1000 = .00018, so the answer is .00018 kg
2x + 10 degrees solve for x
Each angle = 60 o Explanation: The two alternate interior angles provided are: ( 2 x + 10 ) o and, ( 3 x − 15 ) o A pair of alternate interior angles as per property ,have equal values. ( 2 x + 10 ) o = ( 3 x − 15 ) o ( 10 + 15 ) o = 3 x − 2 x 25 o = x So, angle 1: ( 2 x + 10 ) o = 2 × 25 + 10 = 60 o angle 2: ( 3 x − 15 ) o = 3 × 25 − 15 = 60 o
Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.
Answer:
13-13i
Step-by-step explanation:
2(5+i)-3i(5+i)
10+2i-15i-3i²
10-13i+3
13-13i
Juan has a piece of fabric with a length of 5/9 yard and a width of 3/10 yard. What is the area of Juan's piece of fabric? Enter your answer as a fraction in simplest form by filling in the boxes.
The area of the given cloth is 1/6 yards².
What is an area?The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.So, the area of the cloth:
The length of the cloth is 5/9 yards.The breadth of the cloth is 3/10 yards.So, we know that it is a rectangular cloth.
Area of rectangle: l × bCalculate the area as follows:
l × b5/9 × 3/1015/901/6 yards²
Therefore, the area of the given cloth is 1/6 yards².
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PLEASEEEEE HELP MEE will give brainliest
I'm not sure if it's correct...........
Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).
Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
f(x) = 2x + 7g(x) = x-3To determine
f(g(-2)) = ?In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
Help I only have a few hours till I fail this course!!!!!!!!!
Store A charges $4 for 5 apples, store B charges $6.75 for 9 apples. Which one is a better deal? WHY?
Answer: well it depend on ir ur trying to spend the most money or least
Step-by-step explanation: Stora A because you would have to pay that much and u get alot of apples, also because you didt spend alot of money on appels
Store B because that alot of appels that can probaly last a while and u can make stuff with it
Answer:
The second one
Step-by-step explanation
Find the worth of one apple
5/4=0.8
0.8x9=7.2
The second one is less expensive.
there are 3 more games of cribbage being played than games of chess being played. how many of each game are being played. explain and show your reasoning
Answer:
Step-by-step explanation:
8 chess & 11 cribbage
What is 47 rounded up by a factor of 10
Answer:
50...?
Step-by-step explanation:
please answer my question and I will mark branliest
Answer:
3/4
Step-by-step explanation:
Pleasee help me I’ll mark u brainliest!!
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
In this picture B,D, and Fare
midpoints. AC=50, CE=60, and
BD=35
DF=[?]
Answer:
25
Step-by-step explanation:
The smaller triangle is constructed by joining the 3 midpoints. Every line in that smaller triangle is parallel and 1/2 the size of the line not joined by the 2 given midpoints.
In this case 1/2 AC = 1/2 * 50 = 25
The length of DF = 25
Help pls yall i will give brainliest
Answer:
B.
Step-by-step explanation:
Match each graph to its equation below.
The correct matching will be given as A-1, B-3, and C-2.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The general equation is given below.
y = ax²
If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.
If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.
Graph A is upward and shrinks parabolas so the equation will be y = x⁸.
Graph B is downward parabolas so the equation will be y = -3x⁸.
Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.
Then the correct matching will be given as A-1, B-3, and C-2.
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PLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELPPLS HELP
Answer:
I believe y equals 0
Step-by-step explanation:
sorry If i am wrong
please help me s+5s=
Answer:
s+5s=6s
Step-by-step explanation:
not sure if im right but hope this helps
Answer:
6s
Step-by-step explanation:
s+5s = 1s + 5s = 6s
how can you determine if two figure are identical
You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the temperature at the top of the mountain?
For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F
Given:
Temperature at the bottom of the mountain is 74°F
The top of the mountain is 5500 feet above you
Change (reduction) in temperature is 3.3 X 5500 / 1000
= 18.15°F
Temperature at the top of the mountain is 74°F – 18.15°F
= 55.85°F
Use SUBSTITUTION to solve the system
y=4x
2y-2x=12
The table shows the weights y
of x
pints of blueberries.
Number of Pints, x
0 1 2 3 4 5
Weight (pounds), y
0 0.8 1.50 2.20 3.0 3.80
a. Graph the data shown in the table using the coordinate plane provided to the right.
Question 1
b. A line that could best approximate the points could go through which two points below?
A line that could best approximate the points could go through Response area.
(0,0)
and (5,3.75)
(2,1.50)
and (4.5,2.25)
(0,0)
and (2,2.25)
Question 2
c. Use the points you chose in part (b) to write an equation of the line.
y=
y
=
d. Use the equation to predict the weight of 10 pints of blueberries.
Ten pints of blueberries weight about pounds.
e. Blueberries cost $2.25 per pound. Use the equation to predict how much 10 pints of blueberries will cost, to the nearest cent.
Ten pints of blueberries will cost about $
$
.
Question 3
PointMove
UndoRedoReset
PintsWeight (pounds)
The table that shows the relationship between the weights of pints of blueberries is a linear regression function
The equation of the line is y = 0.75xTen pints of blueberries weigh about 7.5 pounds.Ten pints of blueberries will cost about $16.875The graphThe table entry is given as:
x 0 1 2 3 4 5
y 0 0.8 1.50 2.20 3.0 3.80
See attachment for the graph
The points on the lineA line that could best approximate the points could go through the origin (0,0) and (5,3.75)
The line equationWe have the points to be (0,0) and (5,3.75)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_2}{x_2}x[/tex]
So, we have:
[tex]y = \frac{3.75}{5}x[/tex]
[tex]y = 0.75x[/tex]
Hence, the equation of the line is y = 0.75x
The weight of 10 pints of blueberriesThis means that x = 10.
So, we have:
y = 0.75 * 10
y = 7.5
Hence, ten pints of blueberries weigh about 7.5 pounds.
The cost of 10 pints of blueberriesThe unit rate is $2.25 per pound
Ten pints of blueberries weigh about 7.5 pounds.
So, the cost of 10 pints is:
Cost = 7.5 * 2.25
Cost = 16.875
Ten pints of blueberries will cost about $16.875
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whats the answer to 2 x 2 x 4 x 4 x 4 x 5 x 5 x 5 x 5 use expoments for the answer
Answer:
160,000
Step-by-step explanation
[tex]2^{2} X 4^{3} X 5^{4}[/tex]
2 x 2 = 4
4 x 4 x 4 = 64
5 x 5 x 5 x 5 = 625
4 x 64 x 624 = 160,000
1. two acute vertical angles
2. two obtuse adjacent angles
Answer:
there is not enough information provided to answer this question
Step-by-step explanation:
I'm sorry
Answer: but what’s the question
Step-by-step explanation:
Theirs not much provided
PLEASE HELP ME
ILL GIVE YOU BRINIEST
Answer:
it is the second one
Step-by-step explanation:
3-1- 1 2/3 as a fraction
Answer:
Step-by-step explanation:
4/3
Hope it helped you.
Plz mark me brainliest.
A student is riding a bicycle and sees a traffic light that is 50 feet away.The vertical distance between the traffic light and the student is 14 feet.The student also notices a helicopter at an angle of elevation of 82°.The helicopter is directly above the traffic light.To the nearest tenth of a foot ,what is the vertical distance between the student and the helicopter?
Answer:
50-14= your answer .
82-your answer
Step-by-step explanation:
The vertical distance between the student and the helicopter is 341.5 feet.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Given that, a student is riding a bicycle and sees a traffic light that is 50 feet away.
Here, sinx°= 14/50
sinx°=0.28
x°=16.26°
Now tan16.26°=14/p
0.2916=14/p
p=14/0.2916
p=48
tan82°=v/48
7.1153=v/48
v=7.1153×48
v=341.5 feet
Therefore, the vertical distance between the student and the helicopter is 341.5 feet.
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The brown gerbil eats 30 pallets each day. The brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil. The family has 200 pallets of food left. For how many days can they feed both of the gerbils ?
Answer: 5 days
Step-by-step explanation:
Let the number of pallets that the tan gerbil eat be x.
Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:
(4 × x) - 10 = 30
4x - 10 = 30
4x = 30 + 10.
4x = 40
x = 40/4
x = 10
The tan gerbil eats 10 pallets per day.
Both gerbil eats (30 + 10) = 40 gerbils per day.
Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:
= 200 / 40
= 5 days
Kayla has bank account with $250. She goes to Dunkin Donuts and buys the same meal of $8.25 each day. How much money does she have in her account after going to Dunkin 5 days in a row?
Answer: $208.75
Step-by-step explanation:
8.25x5= 41.25 250-41.25= 208.75
Answer:
$8.25 x 5 days = $41.25
$250 - $41.25 = $208.75
Kayla has $208.75 in her bank after going to Dunkin' Donuts five days a row.
Step-by-step explanation:
PLS mark as brainliest answer, please??
thanks
How long does it take the snall to crawl 76 inches? Enter your answer as a decimal number.
Answer:
How long is the snail, what is its terminal velocity, what kind of snail, and also wheres the the graph or picture?
Step-by-step explanation:
Tayler enlarged triangle A proportionally. She made each side 2.5 times as long. Use the drop-down menus to complete the statements below.
Answer:
Cheater LOL JK
Step-by-step explanation:
Im here for the points so like PAY ATTENTION IN CLASS AND STOP CHEATING CHILD