Answer:
B
Step-by-step explanation:
A salesman made a trip of 420 miles by bus and train. He traveled 3 hours by bus and 5 hours by train. If the train averaged 12 mph more than the bus, find the rate of each.
Answer:
The speed at which the buss made the trip was 45 mph and the train was 57 mph.
Step-by-step explanation:
The average speed is given by:
speed = distance / time
Therefore we can manipulate it to give us the distance:
distance = speed*time
The time distance of each stage of his trip summed must be equal to the total distance of the trip. Since he made a trip in two legs, one by bus that lasted 3 h at a speed of "x" and one that lasted 5 hours at a speed of "x + 12". We have:
420 = 3*x + 5*(x + 12)
3*x + 5*(x + 12) = 420
3*x + 5*x + 60 = 420
8*x = 420 - 60
8*x = 360
x = 45 mph
The speed at which the buss made the trip was 45 mph and the train was 57 mph.
Answer:
45 mph
Step-by-step explanation:
Given that ACDE, CBFG, and ABIH are squares and the side of the equilateral △ABC is 1 in. Find the square of the value of the shaded area.
Answer:
6.75
Step-by-step explanation:
The shaded area amounts to two congruent equilateral triangles. Each has a side length of 2(1 in)cos(30°) = √3 in.
The height of an equilateral triangle with side length √3 is ...
height = (√3 in)sin(60°) = 3/2 in
Then the area of the two equilateral triangles is ...
A = bh = (√3 in)(3/2 in) = 3√3/2 in^2
The square of the numerical value of the area is ...
A^2 = ((3/2)(√3))^2 = 27/4 = 6.75
The square of the shaded area is 6.75.
Find the mean absolute deviation for the set below.
104, 86, 357, 532, 70, 93, 260, 89, 171, 429
Answer:
430
Step-by-step explanation:
Answer: 430
Step-by-step explanation:
what’s the verdict boys
Answer:
[tex]y=\frac{1}{26}x-2[/tex]
Step-by-step explanation:
[tex]x-26y=52\\\mathbf{y=mx+b}\:\mathrm{is\:the\:slope\:intercept\:form\:of\:a\:line\:where}\:\mathbf{m}\:\mathrm{is\:the\:slope\:and}\:\mathbf{b}\:\mathrm{is\:the}\:\mathbf{y}\:\mathrm{intercept}\\\mathrm{Convert\:to\:slope\:intercept\:form}:\quad y=\frac{1}{26}x-2\\x-26y=52\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\x-26y-x=52-x\\\mathrm{Simplify}\\-26y=52-x\\\mathrm{Divide\:both\:sides\:by\:}-26\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}[/tex][tex]\mathrm{Simplify}\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Simplify\:}\frac{-26y}{-26}:\quad y\\\frac{-26y}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{26y}{26}\\\mathrm{Divide\:the\:numbers:}\:\frac{26}{26}=1\\=y[/tex]
[tex]\mathrm{Simplify\:}\frac{52}{-26}-\frac{x}{-26}:\quad -\frac{52-x}{26}\\\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{52-x}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{52-x}{26}\\y=\frac{1}{26}x-2\\\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=\frac{1}{26}x-2[/tex]
What operation do you do to the exponents when you are told to multiply ?
What property is this called
5(3x+6)
Solve the following problem 2x+4+5x=8x-6
PLEASE I NEED HELP URGENT
Answer:15x+-2
Step-by-step explanation:
you add 2x+5x+8x=15x
then you add 4+-6
solve for x and y...............
Answer:
9. [tex]x=30, y=10\sqrt{3}[/tex]
11. [tex]x=5\sqrt{3}, y=10\sqrt{3}[/tex]
Step-by-step explanation:
9)
[tex]\sin x=\dfrac{10}{20}\\x=\sin^{-1}\left( \dfrac{1}{2} \right)=30^{\circ}\\y=\sqrt{20^2-10^2}=\sqrt{400-100}=\sqrt{300}=10\sqrt{3}[/tex]
11)
[tex]\tan 60= \dfrac{15}{x}\\x=\dfrac{15}{\tan 60}=5\sqrt{3}\\y=\sqrt{(5\sqrt{3})^2+15^2}=\sqrt{75+225}=\sqrt{300}=10\sqrt{3}[/tex]
Hope this helps!
Answer:
9 for x..................
which expressions are equal to 10^5? select all answers
Answer: 10*10*10*10*10
Step-by-step explanation:
20 points . Find the geometric mean of 5/4 and 80
Answer:
3.636478334
Step-by-step explanation:
2x + 3y = 6
x y
0 2
3 0
A line is described using the equation 2x + 3y = 6. The table lists the coordinates of two points on the line, the y-intercept and the x-intercept. Find the slope of this line.
A) The slope is 2.
B) The slope is 3.
C) The slope is −3/2
D) The slope is −2/3
Answer:
D)The slope is -2/3
Step-by-step explanation:
First, put this equation in slope-intercept form by subtracting 2x on both sides:
2x+3y=6
-2x. -2x
Your equation should be:3y=-2x+6
Then, divide the whole equation by 3 since y has to be by itself
3y=-2x+6
---- ------
3. 3
Your equation should be y=-2/3x+6
Since the slope in slope-intercept form is m in y=mx+b, -2/3×=m
Final answer:D) The slope is -2/3
Find the missing angles and sides
Step-by-step explanation:
m∠1 = 180-100 = 80
m∠2 = 180-150 = 30
m∠3 = 180-(80+30) = 180 - 110 = 70
using the law of sine :
AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))
=2.66044443119
CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588
What is the slope of the line y = 8?
Answer:
the slope of the line y=8 is 0
Step-by-step explanation:
0
A local diner purchased a jukebox for 9400. The business makes a down payment of 1000 and agrees to pay 36 payments of 275 per month find the finance charge.
$10,900
$3,600
$1, 500
$8,400
Answer:
Option (3). $1500
Step-by-step explanation:
Cost price of the jukebox = $9400
Down payment made by the diner = $1000
Diner agreed to pay the rest amount by $275 per month for 36 months
Total amount to be paid by the diner = Down payment + monthly payments
= 1000 + 275×36
= 1000 + 9900
= $10900
Finance charge = 10900 - 9400
= $1500
Therefore, option (3). 1500 will be the answer.
im braindead, i dont know.
Answer:
-8-(-11)-7= -4
B
Plug it in. Hope this helped!
helpppp asappp
solve 2|x+1|=8
Answer:
x = 3 x = -5
Step-by-step explanation:
2|x+1|=8
Divide each side by 2
2/2|x+1|=8/2
|x+1| = 4
There are two solutions to an absolute value, one positive and one negative
x+1 = 4 x+1 = -4
Subtract 1 from each side
x+1 -1 = 4-1 x+1-1 = -4-1
x = 3 x = -5
Answer:
x=3 and -5
Step-by-step explanation:
to start with when you work with equations there will be two answers, no solution set or the answer will be 0. in this case there are two answers.
2/x+1/=8(first you remove all the things that are extra to the equation)
2 2
/x+1/=4 in this case it has two answers because 4 is greater than 0.
so you remove the bracket.
x+1=4 or x+1=-4
x=4-1 x=-4-1
x=3 x=-5
There are 57 ounces of cereal in 5 boxes. At this rate, how many ounces of cereal are in 8 boxes?
Answer:
91.2
Step-by-step explanation:
If there is 57 ounces in 5 boxes and you divide 57 by 5 you'll get 11.4. After that you should times 11.4 by 8 to get 91.2 ounces
Answer:
91.2 ounces
Step-by-step explanation:
Let's make a proportion using this setup:
ounces/boxes=ounces/boxes
There are 57 ounces in 5 boxes, and x ounces in 8 boxes.
57 ounces/5 boxes= x ounces/8 boxes
57/5=x/8
Now we have to solve for x. x and 8 are being divided. To undo this, multiply both sides by 8, because multiplication is the opposite of division.
8*57/5=x/8*8
The 8s on the right will cancel, so we are left with:
8*57/5=x
8*11.4=x
91.2=x
There are 91.2 ounces in 8 boxes
Evaluate piecewise functions
Pls answer
Answer:
-23
Step-by-step explanation:
x = -5 lies in the last piece
h(-5) = 4(-5) - 3
= -20 - 3
= -23
Step-by-step explanation:
Step 1: Find which piece-wise function it is in
Equation 1 → x < -7
Let x = -5 → (-5) < -7 ← False
Equation 2 → -7 ≤ x < -5
Let x = -5 → -7 ≤ (-5) < -5 ← False
Equation 3 → x ≥ -5
Let x = -5 → (-5) ≥ -5 ← True
Step 2: Find the value of h(-5)
[tex]h(-5) = 4x - 3[/tex]
[tex]h(-5) = 4(-5) - 3[/tex]
[tex]h(-5) = -20 - 3[/tex]
[tex]h(-5) = -23[/tex]
Answer: [tex]h(-5) = -23[/tex]
Which of the following relations are NOT functions? Select all that apply.*
(1,3), (3,7), (5,11), (7,15), (9,19)
(1,3), (1,7), (5,11), (5,15), (9,19)
(-2,4), (-1,1),(0,0), (1,1), (2,4)
(2,4), (1,1),(0,0), (1,-1), (2,-4)
(6,3), (4,1), (2,1),(0,-1), (-2,-3)
(1,3), (3,11), (3,7), (7,15), (9,19)
O (1,3), (3,7), (5,11), (9,15), (9,19)
Answer:
Going from 1 to 7. The not functions are 2,4,6, and 7
Step-by-step explanation:
How you can determine if its a function is if all x values are different. Vertical line test.
Using the function concept, it is found that these following relations are not functions:
(1,3), (1,7), (5,11), (5,15), (9,19)
(2,4), (1,1),(0,0), (1,-1), (2,-4)
(1,3), (3,11), (3,7), (7,15), (9,19)
(1,3), (3,7), (5,11), (9,15), (9,19)
A relation is a function if one input is mapped to only one output.In the relation (1,3), (1,7), (5,11), (5,15), (9,19), the input 1 is mapped to the output 3 and to the output 7, so it is not a function.In the relation (2,4), (1,1),(0,0), (1,-1), (2,-4), the inputs 2 and 1 are mapped to multiple outputs, so it is not a function.In the relation (1,3), (3,11), (3,7), (7,15), (9,19), the input 3 is mapped to the outputs 11 and 7, so it is not a function.In the relation (1,3), (3,7), (5,11), (9,15), (9,19), the input 9 is mapped to the outputs 15 and 19, so it is not a function.A similar problem is given at https://brainly.com/question/12463448
Which describes a correct way to construct a scatterplot?
A) When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
B) When analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable.
C) When analyzing the number of registered voters by age, age is the dependent variable.
D)When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
Answer:b
Step-by-step explanation:
Took quiz
Answer:
A
Step-by-step explanation:
I took the test
the quotient of 4 and the number plus 17 is 5
Answer:
-1/3
Step-by-step explanation:
I am assuming you mean 4/x + 17 = 5
in 1900, greenville had a population of 4000 people. Greenville's population increased by 100 people each year. Springfield had a population of 1000 people. Springfields population increased bu 4% each year. In what year were the populations about equal?
Answer: year 1948
Step-by-step explanation:
1900 is our t = 0
The population of Greenville can be written as:
G = 4000 + 100*t
the equation for Springfield can be written as:
S = 1000*(1.04)^t
we want to find the value of t that makes S(t) = G(t)
4000 + 100*t = 1000*(1.04)^t
(4000 + 100*t) = 1.04^t
4 + 0.1*t = 1.04^t
now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:
4 = 1.04^t - 0.1*t
You will find that the correct value is t = 48
So we can assume that in year 1948 the populations will be about the same.
PLEASE HELP?!?!
Sorry for all the questions but PLEASE HELP!!!
What is the scale factor for this dilation? Please show your work
Answer:
Dilation factor is 2/3
Step-by-step explanation:
Look at both flat lines (M to S and M' to S') and find their lengths.
M to S = 9 units
M' to S' = 6 units
The triangle has gotten smaller so the dilation factor is a fraction
new/original = 6/9 = .66666666 or 2/3
Dilation factor is 2/3
guys 100 points. What is the formula of a cube?
Answer:
L x W x H
Yeet
:3
−6x+14<−28 OR 9x+15≤−12
Answer:x>7 or x ≤ -3
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Step-by-step explanation:
Answer:
x> 7 OR x ≤−3
Step-by-step explanation:
−6x+14<−28 OR 9x+15≤−12
Solve them separately and then put back together
−6x+14<−28
Subtract 14 from each side
-6x +14-14 <-28-14
-6x <-42
Divide each side by -6, remembering to flip the inequality
-6x/-6 > -42/-6
x> 7
9x+15≤−12
Subtract 15 from each side
9x +15-15 ≤−12 -15
9x ≤−27
Divide each side by 9
9x/9 ≤−27/9
x ≤−3
Can anyone help me out
Answer:
jamilla is not correct because she messed up. She is WRONG. and the reason is because she didnt add and divide properlly
Step-by-step explanation:
Plot the points (-8,7) and (5,7) on the coordinate plane below
Answer:
ok here you go
Step-by-step explanation:
i cant really plot them for you but i will help explain how to plot them.
the x-axis is the horizontal plane on the graph. the y-axis is the vertical plane on the graph. every coordinate has both a x and y point.
for you the x would be -8 and the y would be 7. first, you would go accross the x-axis to -8 and then go up to positive seven. you would be in the fourth quadrent in the graph. then you would do the same to the other pair. remember, (x,y)
How many integers are there…
Between m and n, including m and n,
Between m and n, not including m and n?
Answer:
there are infinite integers.
The price of gasoline was 96¢ a gallon
before it went up 25%. How much did
it go up?
Josh has a rewards card for a movie theater. He receives 15 points for becoming a rewards card holder. He earns 3.5 points for each visit to the movie theater. He needs at least 55 points to earn a free movie ticket. Which inequality can Josh use to determine x, the minimum number of visits he need s to earn his first free movie ticket? *
a. 55 ≥ 3.5x + 15
b. 55 ≥ 15x + 3.5
c. 55 ≤ 3.5x + 15
d. 55 ≤ 15x + 3.5
Answer:
C. 55 [tex]\leq[/tex] 3.5x + 15
Step-by-step explanation:
i found it on google
Answer:
c
Step-by-step explanation:
You are given these direccions begin at the origin move right 4 units then down 3 units what ordered pair have you just graphed
Answer:
(4, -3)
Step-by-step explanation:
The origin is at (0,0). When you move right or left, you change the x-coordinate, or the first coordinate. You moved right which is in the positive direction so now your coordinate is (4,0).
When you move up or down, you change the y-coordinate, or the second coordinate. You moved down which is in the negative direction so your final coordinate is (4, -3).
Answer:
4,-3
Step-by-step explanation:
i got it
will mark bianleast 10 pontis
Which equation could be used to find the perimeter of a rectangle that has a width of 10 inches and a length of 20 inches?
P = 2·10 + 2·10
P = 20·10
P = 2·20 + 2·10
P = 10 + 20
Answer:
P = 2·20 + 2·10
Step-by-step explanation:
there are 2 sides for width, and 2 sides for length, as easy as