Answer:
the number of students in each van : 14
Step-by-step explanation:
a = how many students fit into a van
b = how many students fit into a bus
School A: 4a+7b=448 (1)
School B: 9a+14b=910 (2)
(1) => b = (448-4a)/7
subs to (2) => 9a+ 2(448-4a) = 910
=> a = 14
=> b =56
9.
A line passes through (–7, –5) and (–5, 4).Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.
A. y + 5 = 9/2(x – 7); –9x + 2y = 53
B. y – 5 = 9/2(x + 7); –9x + 2y = –53
C. y + 7 = 9/2(x + 5); –9x + 2y = 31
D. y + 5 = 9/2(x + 7); –9x + 2y = 53
Answer:
D. y + 5 = 9/2(x + 7); –9x + 2y = 53
Step-by-step explanation:
The equation:
y - y 1 = ( y2 - y1 ) / ( x2- x1) * ( x - x1 )
y - ( - 5 ) = ( 4 + 5 ) / ( - 5 + 7 ) * ( x - ( - 7 ) )
y + 5 = 9/2 ( x + 7 )
y + 5 = 9/2 x + 63 /2 / * 2
2 y + 10 = 9 x + 63
- 9 x + 2 x = 53
Answer:
C ) y + 5 = 9/2 ( x + 7 ) ; - 9 x + 2 y = 53
Option C is correct
Step-by-step explanation:
Point slope form:
The equation of line is given by:
....[1] where m is the slope and a point lies on the line.
Given that:
A line passes through (-7,-5) and (-5,4).
Calculate slope:
Slope is given by:
Substitute the given values we have;
Simplify:
Substitute thee value of m and (-7, -5) in [1] we have;
Simplify:
⇒
Using distributive property :
Subtract 9x from both sides we have;
Subtract 10 from both sides we have;
Therefore, an equation for the line in point-slope form is and the equation in standard form using integers is
graph f(x)=3x+5 and g(x)=3x-2
Answer:
Two parallel lines
Step-by-step explanation:
the slopes are the same: slope = 3
f(x) 3x + 5 g(x) = 3x - 2
Pick at least three x values and find their corresponding values for y. Remember the f(x) and g(x) represent y
f(x) = 3x + 5 g(x) = 3x - 2
y = 3x + 5 y = 3x - 2
let x = 0 y = 3(0) + 5 y = 3(0) - 2
y = 5 y = -2
Ordered pair (0, 5) (0, -2)
Let x = 1 y = 3(1) +5 y = 3(1) - 2
y = 8 y = 1
ordered pair (1, 8) (1, 1)
Let x = -1 y = 3(-1) + 5 y = 3(-1) - 2
y = 2 y = -5
ordered pair (-1, 2) ( -1, -5)
Locate the ordered pairs and draw the graph on the lines.
you will graph two parallel lines
The distance, d in meters, that an accelerating object travels is given by
d=1/2*a*t^2
, where a is the acceleration rate in meters per second squared
and t is the time in seconds. A motorbike accelerates from a stop with
an acceleration of 40 meters per second squared over a distance of 60
meters. About how many seconds did the motorbike travel?
A. Between 4 and 5 B. Between 2 and 3 C. 1
D. Between 1 and 2 E. 2
Answer:
B.Between 2 and 3
Step-by-step explanation:
60÷40
=3/2
Which choice shows the product of 23 and 39?
(23)(39) = 897
23 · 39 = 777
23 + 39 = 62
23 x 39 = 677
Answer:
(23)(39)
Step-by-step explanation:
When you have to look for the "product" of two numbers, it implies multiplication.
With this, get rid of 23 + 39 = 62 as an answer.
Now simply enough, multiply 23 by 39,
23 * 39 = 897
Meaning that A. (23)(39) = 897 is the answer.
what is the volume of a cube 4cm length 4cm height 4cm width
Answer:
64
Step-by-step explanation:
because the formula for the volume of a cube is edge (4) to the power of 3
4 to the power of 3 is 64
2
1. A local zoo had 750 visitors on Saturday. If
20% of the guests traveled Prom out of town,
how many local guests visited the zoo on
Saturday?
Answer:
600
Step-by-step explanation:
Prouvez par récurrence que quel que soit n EN\{0}, on a
1/1.2 + 1/2.3 + …. + 1/ n.(n+1) v= 1- 1/n+1
The left side is equivalent to
[tex]\displaystyle \sum_{k=1}^n \frac1{k(k+1)}[/tex]
When n = 1, we have on the left side
[tex]\displaystyle \sum_{k=1}^1 \frac1{k(k+1)} = \frac1{1\cdot2} = \frac12[/tex]
and on the right side,
[tex]1 - \dfrac1{1+1} = 1 - \dfrac12 = \dfrac12[/tex]
so this case holds.
Assume the equality holds for n = N, so that
[tex]\displaystyle \sum_{k=1}^N \frac1{k(k+1)} =1 - \frac1{N+1}[/tex]
We want to use this to establish equality for n = N + 1, so that
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]
We have
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = \sum_{k=1}^N \frac1{k(k+1)} + \frac1{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+1} + \frac1{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+2}{(N+1)(N+2)} + \frac1{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+1}{(N+1)(N+2)}[/tex]
[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]
and this proves the claim.
Biggest to smallest 0.012, 0.100, 0.001 0.101
Answer:
0.101,0.100.0.012,0.001
Step-by-step explanation:
Hello!
All you have to do is look at it's place. The tenth place is the largest decimal so that would be your largest.
Answer:
0.1, 0.101, 0.12, 0.001
lim x -4 sqrt x+20 - sqrt 12-x x^ 2 +3x-4 =
Step-by-step explanation:
[tex] = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{ {x}^{2} + 3x - 4 } [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{(x + 4)(x - 1)} \times \frac{ \sqrt{x + 20} + \sqrt{12 - x} }{ \sqrt{x + 20} + \sqrt{12 - x } } [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{ {( \sqrt{x + 20} )}^{2} - {( \sqrt{12 - x} )}^{2} }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{x + 20 - 12 + x }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2x + 8}{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2 \cancel{(x + 4)}}{ \cancel{(x + 4)}(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2}{(x + 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \frac{2}{( - 4 + 1)( \sqrt{ - 4 + 20} + \sqrt{12 + 4} ) } [/tex]
[tex] = \frac{2}{( - 3)( \sqrt{16} + \sqrt{16}) } [/tex]
[tex] = \frac{2}{( - 3)(4 + 4)} [/tex]
[tex] = \frac{2}{( - 3)(16)} [/tex]
[tex] = \frac{1}{( - 3)(8)} [/tex]
[tex] = - \frac{1}{24} [/tex]
The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
Answer:
The length is 16 and the width is 19.
Step-by-step explanation:
We'll represent width with the letter w, and length with l.
w = l + 3
The perimeter is all four sides, so perimeter = 70ft = (2w) + (2l)
We will replace w with l + 3.
70 = 2(l + 3) + (2l)
2 (l + 3) = (l + 3) + (l + 3)
and 2l = l + l, so
70 = l + 3 + l + 3 + l + l = 4l + 6
We subtract 6 from both sides.
64 = 4l
then we divide both sides by 4
16 = l
Remember width = length + 3, so
16 + 3 = w
19 = w
Just to check:
2(length) + 2(width) = perimeter
2(16) + 2(19) = 70
32 + 38 = 70
You have 130 feet of fencing to build a rectangular sheep pen. What is the area of the
largest pen you can build?
HELP ASAP
Answer:32.5
Step-by-step explanation:
What is a triangle with at least two congruent sides called?
Daniel sells bracelets for $0.5 each. How many bracelets can he sell for $6.35
Answer:
He can sell 12 bracelets.
Step-by-step explanation:
6.35/0.5 will give u your answer!
Find The sales price. Round to the nearest cent. Show your work
$800.25 smart TV; 56% discount
A plane travel 216 miles per hour
Work out an estimate for how many seconds it takes to travel in 1 mile.
please help ASAPPPPPPPPPPP
Answer:
TanQ=20/21
Step-by-step explanation:
since we know that
TanQ= opposite/Adjacent
so we are going to calculate for the adjacent using Pythagoras theorem
a^2+b^2=c^2
20^2+b^2=29^2
400 + b^2=841
b^2=841-400
√b^2=√441
b=21
so our tanQ= opp/adj
tanQ=20/21
Trayvon enters a competition to guess how many balls are in a barrel. Trayvon’s guess is 63 balls. The actual number of balls is 60. What is the percent error of Trayvon’s guess?
Answer:
+5%
Step-by-step explanation:
Trayvon's guess, 63, is 3 higher than the actual number of balls. We compare 3 to 60: 3/60, or 1/20. Multiplying this result by 100%, we get 5%. The percent error is 5%.
Just say 1,2,3,4,5,6 or 7 and there are more than 1 answer WORTH 90 POINTS!! HELP ME
Play Station Plus costs $60.00 for a yearly (12 Months) subscription. What is the unit price per month?
Show your work. And Explain why you pick that answer!
Damaris cut three strips of paper to use as the three sides of a triangle. The first two strips are 6 inches and 9 inches long, respectively. Which length could be the length of the third side of Damaris’s triangle?
Using triangle concepts, it is found that the length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.
In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.
Considering 6 inches and 9 inches the smallest sides:
[tex]x < 6 + 9[/tex]
[tex]x < 15[/tex]
Considering 9 inches as the greater side:
[tex]x + 6 > 9[/tex]
[tex]x > 9 - 6[/tex]
[tex]x > 3[/tex]
The length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.
A similar problem is given at https://brainly.com/question/24175053
Is -1 bigger than 32 positive
No, -1 is less than 32.
-1<32
-1 is in the negatives, so its less
Hope that helped:)
which of the following is gravity not responsible for?
Full question
8. Which of the following is NOT a role of gravity in erosion?
A. It moves glaciers down slope.
B. It loosens the land materials ANSWERC. In mountains, it moves down large slabs of rocks.
D. It acts as agents of mass wasting like landslides, fall, mudflows, and avalanches
At summer camp there are 40 boys out of 70 campers.what is this ratio written in simplest form
Answer:
4/7 is the simplified answer !!
i will give brainliest if you give me the right answer.
[tex]\red{➤}\:[/tex][tex]\sf \dfrac{6+8x}{2} = 5x[/tex]
[tex]\\[/tex]
To Find:-[tex]\orange{☛}\:[/tex][tex]\sf Value \:of \: x [/tex]
[tex]\\[/tex]
Solution:-[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{6+8x}{2} = 5x \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 6+8x= 5x×2 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 6+8x= 10x \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 8x-10x= -6 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf -2x = -6 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf x = \frac{-6}{-2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x = 3}} \\\end{gathered} [/tex]
Remember-On Transfering the terms to other side of equation-
+ changes to -
- changes to +
× changes to ÷
÷ changes to ×
Select all ratios equivalent to 3:2.
13:1
26:10
24:16
guys please help i’m so confused
Answer:
4
Step-by-step explanation:
(x1,y1)(x2,y2)
(2,8) (0,0)
0-8 / 0-2 = -8/-2
simplify -8/-2 = 4
Answer:
4.
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
- that is rise / run.
We use the points (2, 8) and (2,0) ( - the last point is vertically below (2,8) and is on the x axis)
Here y2 = 8, y1 = 0, x2 = 2 and x1 = 0.
So the slope = (8-0)/(2-0)
= 4
why is the imposter sus?1???111
Answer:
Step-by-step explanation:
Because he do be sussing
what is 0.2857142857 rounded to the nearest whole percent? pls help me
29% would be the answer if you are rounding up
A small dog bowl holds 75% as much as a large dog bowl.
If the small bowl holds 36 tablespoons of dog food, how much does the large
hold?
Answer:
48 tablespoonsStep-by-step explanation:
A small dog bowl holds 75% as much as a large dog bowl.
This can be expressed as:
s = 0.75l, where s - volume of small bowl, l - volume of large bowlWe are given s = 36 tablespoons, then the value of l is:
36 = 0.75ll = 36/0.75l = 48 tablespoonsAnswer:
48
Step-by-step explanation:
[tex]36 \div 75\% \\ \frac{36}{0.75} \\
multiply \: the \: numerator \: and \: the \: denominator \: with \: the \: same \: whole \: number \\ \frac{3600}{75} \\ = 48[/tex]
What is the correct answer
Answer:
Mia
Step-by-step explanation:
The slope is 6 using y = mx + b where m is the slope
Ordered pair (0, 4) and (-1, -2) are points on the blue line. Check to see if the slope = 6.
Slope = (change in the y-values)/(change in the x-values)
Slope = (-2 - 4)/(-1 - 0)
Slope = -6/ -1
Slope = 6
Therefore Mia is correct.
