Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
The number of vans used is three and the number of sedans is two
Let :
v represent the number of vans
s represent the number of sedans
The following equations can be gotten
7v + 5s = 31 equation 1
v + s = 5 equation 2
The elimination method would be used to solve for v and s
Multiply equation 2 by 7
7v + 7s = 35 equation 3
Subtract equation 1 from 3
2s = 4
s = 4/2
s = 2
Substitute for s in equation 2
v + 2 = 5
v = 5 - 2
v = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
express following
Following numbers in the
Standard form: 3.091403
for you
Answer:
[tex]3.10* 10^0[/tex]
Step-by-step explanation:
Given
[tex]3.091403[/tex]
Required
Express in standard form
A number in standard form can be expressed as:
[tex]a * 10^b[/tex]
Where
[tex]1 \leq a \leq 10[/tex]
i.e.
a is between 1 and 10 (inclusive) and preferable, a should be in 2 decimal places
We have that:
[tex]3.091403[/tex] is between 1 and 10.
So, in standard form it is:
[tex]3.091403 * 10^0[/tex]
Approximate to 2 decimal places
[tex]3.10* 10^0[/tex]
Hence, the standard form of [tex]3.091403[/tex] is [tex]3.10* 10^0[/tex]
2/3y + 1 =1/6y + 8
y = ?
Answer:
21
Step-by-step explanation:
solved it
Right 2 units and down 7 units
Answer:
-3.5
Step-by-step explanation:
Rise over run
I CAN GIVE BRAINLIEST!!!!!!
Answer: 2/1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Line is passing through the points (2, 3) & (5, 9)
Slope = (9 - 3)/ (5 - 2) = 6/3 = 2
Slope of the line is 2.
Angie and her friends ate 3/4 of a pizza. Her brother Joe ate 2/3 of what was left, How much of the original pizza did Joe eat? Please and thank you!
Sharon uses 1 1/2 cups of sugar to make 2 batches of cookies. How much sugar will she use to make 6 batches of Cooke’s?
Answer:
8 Batches
Step-by-step explanation:
Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.
plis help
Find the distance from the origin to the graph of 6x+3y+2=0
a.
0.33
b.
0.31
c.
0.3
d.
0.32
Answer:
Step-by-step explanation:
B is the answer
Suppose that from a standard deck, you draw three cards without replacement. What is the expected number of spades that you will draw
Answer: The expected number of spades that you will draw is 0.751 spades
Step-by-step explanation:
The expected value can be calculated as:
∑xₙ*pₙ
Where xₙ is the n-th event, and pₙ is the probability of that event.
First, let's count the possible events and calculate the probability for each one.
x₀ = drawing 0 spades.
Out of 52 cards, we have only 13 spades, then 52 - 13 = 39 are not spades.
Then the probability of not drawing a spade in the first draw is:
p1 = 39/52
In the second draw we will have a card less than before in the deck (so we have 38 cards that are not spades, and 51 cards in total), then the probability of not drawing a spade is:
p2 = 38/51
And with the same reasoning, in the third draw the probability is:
p3 = 37/50
The joint probability for this event will be:
p₀ = p1*p2*p3 = (39/52)*(38/51)*(37/50) = 0.413
Second event:
x₁ = drawing one spade.
Let's suppose that in the first draw we get the spade, the probability will be:
p1 = 13/52
In the second draw, we get no spade, then the probability is:
p2 = 39/51
in the third draw we also get no spade, the probability is:
p3 = 38/50
And we also have the case where the spade is drawn in the second draw, and in the third draw, then we have 3 permutations, this means that the probability of drawing only one spade is:
p₁ = 3*p1*p2*p3 = 3*(13/52)(39/51)*(38/50) = 0.436
third event:
x₂ = drawing two spades:
Let's assume that in the first draw we do not get a spade, then the probabilities are:
p1 = 39/52
p2 = 13/51
p3 = 12/50
And same as before, we will have 3 permutations, because we could not draw a spade in the second draw, or in the third, then the probability for this case is:
p₂ = 3*p1*p2*p3 = 3*( 39/52)*(13/51)*(12/50) = 0.138
And the last event:
x₃ = drawing 3 spades.
The probabilities will be:
p1 = 13/52
p2 = 12/51
p3 = 11/50
And there are no permutations here, so the joint probability is:
p₃ = p1*p2*p3 = (13/52)*(12/51)*(11/50) = 0.013
Now we can calculate the expected value:
EV = 0*0.413 + 1*0.436 + 2*0.138 + 3*0.013 = 0.751
The expected number of spades that you will draw is 0.751 spades
Which of the following was included in the “Declaration of the People”?
Texians wanted the Constitution of 1824 reestablished.
Texians wanted George Washington to be president instead of Santa Anna.
Texians considered themselves independent from Mexico,
The people of Texas want more restaurants.
Answer:
C
Step-by-step explanation:
Texas was not around during George Washington so that cant be correct
Texas was not around during the constitution of 1824
Texas did not want more restaurants lol
So Texans considered themselves independent from Mexico is correct
Answer:
Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves independent from Mexico is correct
took it on edge 2020 and got it write with this
Given that 12x=15y, identify the ratio of x to y in simplest form.
Answer:
I got 4x=5y sorry if i'm wrong
The hypotenuse of a right triangle is 13ft long. The longer leg is 7ft longer than the shorter leg. Find the side lengths of the triangle.
Answer:
The side lengths are 5, 12, 13
Step-by-step explanation:
These are the side lengths we know before we have solved the problem.
a= x b= x+7 c= 13
If we put this into the Pythagorean theorem, we get
[tex]13^{2} = x^{2} +(x+7)^{2}[/tex]
Expand
[tex]169 = 2x^2+14x+49\\[/tex]
Subtract 169 from both sides
[tex]0 =2x^2+14x-120[/tex]
Solve using the quadratic formula
a= 2 b= 14 c= -120
[tex]\frac{-14\pm \sqrt{14^2-4\cdot \:2\left(-120\right)}}{2\cdot \:2}[/tex]
[tex]x= \frac{-14\pm \:34}{2\cdot \:2}[/tex]
If we separate the solutions we get
[tex]x= \frac{20}{4} = 5[/tex]
and
[tex]x= \frac{-48}{4} = -12[/tex]
Since this is a question about length, we can ignore the negative.
So the longer leg is 12ft and the shorter leg is 5ft
The shorter length is 5feet and the longer length is 12 feet
Let the shorter leg = x
Let the longer leg = x+7
Therefore,
x² + (x+7)² = 13²
x² + x² + 14x + 49 = 169
Collect like terms
2x² + 14x + 49 - 169 = 0
2x² + 14x - 120 = 0.
Divide by 2
x² + 7x - 60
By using quadratic equation
x² + 12x - 5x - 60
x(x + 12) - 5(x + 12)
Therefore, x - 5 = 0
x = 0 + 5.
x = 5
The shorter length is 5ft
Longer length = 5+7 = 12 feet
Read related link on:
https://brainly.com/question/19574344
$2665 is compounded annually at a rate of 9% for 1 year
Answer:
$2675
Step-by-step explanation:
An electrician charges (1) an initial fee of $20 and then $30 per hour. What type of graph does this represent?
an increasing only graph
a decreasing only graph
an increasing and decreasing graph
Answer:
this is an increasing graph. of y = 30x + b
Step-by-step explanation:
since all that is happening is that people are adding money, the graph just goes up and up
in the given figure, the side BC is produced to
the points o and E both sides. Prove that
ABE + ACD+ BAC = 180
pls pls pls pls help
Answer:
im guessing it says they give $5 to the father
if that is the case then the answer is c
Step-by-step explanation:
the cost for fudge at candy lane is represented by the table.the graph the cost for similar fudge that best fudge shop sell. a. the unit rate for fudge at candy lane to equal the unit rate at best fudge shop. B.the unite rate for fudge at best fudge shop is less than unit rate at candy lane. C.the unite rate for fudge at candy lane is less than the unit rate at best fudge shop. D cost 3 pounds of fudge at best fudge shop is less than the cost of a pound of fudge at sweet treats
Answer:
B
Step-by-step explanation:
The correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a table that shows the cost for fudge at candy lane. The graph represents the cost for similar fudge that best fudge shop sell.
The slope of straight line represented by the table -
m[1] = (16 - 8)/(2 - 1)
m[1] = 8
The slope of the line plotted on graph -
m[2] = (9 - 6)/(3 - 2)
m[2] = 3
The slope is the measure of unit rate. Therefore, the unit rate of best fudge is less than unit rate of candy cane.
The cost 3 pounds of fudge at best fudge shop = 3 x 3 = $9
The cost 1 pound of fudge at candy lane = $8
Hence, cost 3 pounds of fudge at best fudge shop is greater than the cost of a pound of fudge at sweet treats.
Therefore, the correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.
To solve more questions on straight line graphs, visit the link below-
brainly.com/question/2954112
#SPJ6
[Refer to the image attached for table and graph]
Explain how to solve the equation.
B - 7 = 12
Answer:
So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number
Step-by-step explanation:
Have a great day
1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
HELP FIVE STARS,THANKSAND BRAINLIEST (if your right)!!
What is the y-coordinate of the point shown in the graph?
P.S the graph is in the picture above.
Answer:
-7
Step-by-step explanation:
the full coordinate would be 3,-7. just line up the number directly above it and to the left/right and write it down x,y
Look at the equation. y=2x−2 Which situation is best described by the equation?
A. The temperature at 2.00AM 2°c and rises 2°C each hour for x hours
B. The temperature at 2.00AM is -2°C and rises 2°C each hour for x hours
C.The temperature at 2:00AM is 2°C and drops 2°C each hour for X hours
D. The temperature at 2:00AM is -2°C and drops 2°C each hour for x hours.
Answer: A
Step-by-step explanation:y=2x−2 2.00AM 2°c and rises 2°C each hour for x hours
Nisha did the work below to solve an equation.
Step 1 7b+3.2b-5=18.92
Step 2 10.2b-5=18.92
Step 3 5.2b= 18.92
Step 4 b=3.64.
In which step did Nisha make her first error?
Step 1
Step 2
Step 3
Step 4
Answer:
Step 3.
Step-by-step explanation:
When 10.2b - 5 = 18.92, you cannot combine the unlike terms together on the left side to get 5.2b. Instead, add 5 to both sides:
10.2b = 18.92 + 5 = 23.92.
Answer: step 3
Step-by-step explanation:
please help i have no idea
Triangle PQR is rotated 180 clockwise about point m and the image of point p is p and the image of point r is r what are the coordinates of the image of point Q
Answer:
Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?
Step-by-step explanation:
Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?
Answer:
9 cm
Step-by-step explanation:
2.5x4=10
What is the formula and slope of (18, -7) and (18, 2)
Answer:
Step-by-step explanation:
Coordinate points: (18, -7) and (18,2)
m= rise / run or [tex]\frac{ y_2 - y_1} {x_2 - x_1}[/tex]
m = slope
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
So your rise is...
2 - (-7)
and you run is...
18 -18
Rise = 9
Run = 0
Now, do you see the issue...
You can not have a number over 0 (* a great way to remember is N/0 spells no: "N" being number and "0" being zero)
The slope or the equation 9 / 0 (9 divided by 0 or 9 over 0) is ERROR in the calculator which means the slope of these points are undefined
The line is vertical when this happens
*Side Note: if you were to have 0 as you rise and 9 as your run, 0/9 is ok because that means you have a zero slope meaning that you have a horizontal line
0 divide by 9 is zero
pls help! will give brainliest!!!
Answer:?????
Step-by-step explanation:
what do u need help with/?//???/???
How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy
Answer:
2.25
Step-by-step explanation:
1.5 / 0.666 (repeating) = 2.25
Answer:
There are 2 one-quarter cup servings in 1 half cup
In 5.25 cups there are 21 one-quarter cup servings
Step-by-step explanation:
So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.
21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups
how much does 18cm are in mm
Rosabell had 27 posters for the parade, she droppd 19 while marching in the parade. how many does she hav left.
Which function is represented by this graph
y=-1/2x +3 it's last one