Answer:
15 and 5 hours.
Step-by-step explanation:
Call x the time taken by the first chap, and y the second.
[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]
Let's divide by 5 and play with the LHS of the first equation a bit:
[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.
[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]
Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)
Answer:
[tex]y = \frac{-8}{3}x - 8[/tex]
Step-by-step explanation:
Solving for the equation of the line with two points:
Let's remind ourself of the slope - intercept formula: [tex]y = mx + b[/tex]
We first have to find the slope of the line. This is found by using the formula :
[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]
We have to find the change in y (Δy) and divide it by the change in x (Δx)
We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept
Step 1: SlopeLet's use the slope formula
[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]
Slope = -8/3
Step 2: Y - InterceptTo find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)
[tex]y = \frac{-8}{3}x + b[/tex]
[tex]0 = \frac{-8}{3}(-3) + b[/tex]
[tex]0 = \frac{24}{3} + b[/tex]
[tex]0 = 8 + b[/tex]
[tex]b = -8[/tex]
Step 3: EquationLet's input our slope and y - intercept to the equation [tex]y = mx + b[/tex]
Slope = -8/3
Y - Intercept = -8
Equation: [tex]y = \frac{-8}{3}x - 8[/tex]
-Chetan K
I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?
The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows
(a) The number line solution contains zero
Using algebra, we have;
The given quadratic inequality is; -x² + 4 ≥ x + k
The number line solution is the expression of the solution on the number line.
We have;
-x² + 4 ≥ x + k
-x² - x + 4 - k ≥ 0
Dividing by (-1), we get;
x² + x - 4 + k ≤ 0
When - 4 + k = -2
k = 2, we get;
x² + x - 4 + 2 ≤ 0
x² + x - 2 ≤ 0
(x - 1)·(x + 2) ≤ 0
Given that the result of the product is less than zero, we have;
((-3) - 1)·((-3) + 2) > 0
Therefore, the solution are;
x ≤ 1, or x ≥ -2
Which gives
-2 ≤ x ≤ 1
Using diagram;The solution of the above inequality includes 0 as shown in the attached number line
Graphically;The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1
(b) There are no solution to the inequality
In the present case, we have;
((-1)² - 4×(-1) × (4 - k) < 0
17 - 4·k < 0
[tex]k > \dfrac{17}{4}[/tex]
Let k = 5, we have;
-x² + 4 ≥ x + k
-x² - x + 4 - 5 ≥ 0
-x² - x -1 ≥ 0
The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real
roots to inequality, and -x² - x -1 is not equal to zero.
GraphicallyPlease find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0
(c) The solution is a single number
-x² + 4 ≥ x + k
When k = x + 5, we have;
0 ≥ x² + 2·x + 1
0 ≥ (x + 1)²
Therefore;
The only solution is; x = -1
Using diagrams:
Please find attached the solution of the function on the number line
GraphicallyThe graph of the function showing only one intercept is attached
Learn more here:
https://brainly.com/question/11982012
Increase 1000 in the ratio 2:5
Answer:
1400
Step-by-step explanation:
2/5×1000=400
1000+400=1400
Step-by-step explanation:
Let the new quantity be x.
x:1000=2:5
x/1000=2/5
(multiply both side by 1000)
[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]
[tex]x = 400[/tex]
i don't know what this means someone help?????
Answer:
2
Step-by-step explanation:
so 10÷2=5 6÷2=3 3/5
that what u need?
Answer:
the answer would be 2
Step-by-step explanation:
Can someone pls help me
Solve for x
Please show your work
Answer:
Hence, the value of x is 9°
Step-by-step explanation:
7x + 14 = 9x - 4. [(Corres. ∠s]
⇛ 7x - 9x = -4 - 14
⇛-2x = -18
⇛x = -18÷-2
⇛x = 18/2
∴ x = 9
NOW,
7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.Read more:
Similar Question
find the measure of angle 1, given that AB || CD...
https://brainly.com/question/3983123?referrer
In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.
Answer:
50 cm²
Step-by-step explanation:
We know that PQRS is a paralleogram so we know that RS = PQ.
We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²
What is the value of x? If necessary leave your answer in the simplest radical form.
Explanation:
This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is
long = short*sqrt(3)
We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse
hypotenuse = short*2
9w = -54
what does w =
Answer:
w = -6
Step-by-step explanation:
[tex]9w=-54~(Given)\\\\\frac{9w}{9}=\frac{-54}{9}~(Divide~9~on~both~sides)\\\\w=-6~(Simplify)[/tex]
please help me :) there is a picture
Shonda has $125. She spends 35% of the money she has on a concert ticket. How much did Shonda pay for the concert ticket?
Answer:
$43.75
Step-by-step explanation:
125 x .35 = $43.75
2^-3 x 3^-2
what’s the answer?
Answer:
1/72Step-by-step explanation:
[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex][tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]
[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]
Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.
4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2
Answer:
Graphs shown below.
4.) x-intercept: (3,0) y-intercept: (0,-2) slope: 2/3
5.) x-intercept: none y-intercept: (0,4.5) slope:0
6.) x-intercept: (3,0) and (-1,0) y-intercept: (0,-1) slope: none
#4 is blue graph, #5 is green graph, #6 is red graph
Step-by-step explanation:
** #4 is blue graph, #5 is green graph, #6 is red graph **
Sarah pays $48.00 each month to keep her house insured. If her house is valued at $223,050, about how much is Sarah paying per $100 in homeowners insurance annually? a. $0.13 b. $0.26 c. $1.55 d. $3.09
Answer:
The answer is B, $0.26
Step-by-step explanation:
$48 * 12 =$576
- 12 months in a year
$223,050 / $100 =$2230.50
$576 / $2230.50 =$0.26
IF ANYONE IS A GENIUS AT MATH PLZ HELP AND ANSWER MY LATEST QUESTION!! I RLLY NEED HELP, IM LITERALLY GONNA CRY!!! IF YOU CAN'T FIND IT, BELOW IS AN IMAGE OF THE MATH SCENARIOS THAT I NEED HELP WITH!!! PLZ EXPLAIN EACH AND EVERY PART.
Answer:
Step-by-step explanation:
im not a genius at math, but i will give it a shot
scenario 3:
let m= cost per minute for WDE, let b= flat fee for WDE
42.5=50m+b
65=100m+b
subtract the two equations
65-42.5=50m
m= .45 (this is the cost per minute on WDE wireless)
plug in m=.45 into the first equation
42.5=50(.45)+b
b= 20 (this is the fixed monthly fee for WDE wireless)
HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate
htr has the equation .25x+30
WDE has the equation .45x+30
set them equal to each other and solve for x .25x+30=.45x+20
x= 50 minutes
Scenario 4:
Same deal as last question, let m=cost/movie, b=flat fee
41.25=5m+b
57.5=10m+b
subtract the two equations and solve for m
57.5-41.25=10m-5m+b-b
m= 3.25 (slope)
b=25 (y intercept)
y=3.25x+25
y=3.25(125)+25 = 431.25
3.25x+25=2.75x+35
.5x= 10
x= 20
Anybody know the answer?????
(REPOST) STATION 3 ! 40 POINTS
Answer:
Great valley
Mercury
Liberty
Delta
International
Step-by-step explanation:
Liberty Express: 128.333
Mercury speed: 130
International speed: 122.666666
Delta Eagle speed: 125
Great Vally speed: 130.5
distance/time=speed
Order:
Great valley
Mercury
Liberty
Delta
International
What is the solution set of (x - 2)(x - 3) = 2?.
Can someone solve this for me please? I would be very thankful <3
Answer:
running speed is horse power
so up with horse
it will tell its power
go and denge it
so you will get your answer by this process
(a) 35.8 + 10 need answer
Calculate the exact value of 0.428 ×2.75
- BRAINLIEST ANSWERER
Scored 12 out of 39 in the test work out the percentage
Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4
Answer:
its the second option under the first one... which is more than likely C.
Step-by-step explanation:
What is the least common denominator of 11/12 5/6 1/5
Answer:
11/12 = 132
5/6 = 30
1/5 = 5
All of the numbers after the equal sign, are LCDs of the fraction.
Have a great day friend! :D
Answer:
60
Step-by-step explanation:
two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time
Answer:
350L 375ML
Step-by-step explanation:
Bài 43 sgk trang 225 và làm thêm giùm mình phần d và phần e trong ảnh nhoa :>
Answer:
Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.
Step-by-step explanation:
Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.
Find the values of x and y
Answer:
y=30
x=60
Step-by-step explanation:
The triangle has all sides equal therefore all the angles are equal.
For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.
Therefore y=90-60
=30
x=180-(30+90)
=60
The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?
Answer: $30,800
Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.
Travis Scott sold 38 papers in 2 hours. At that rate, how many papers would he sell in 3 hours?
Answer:
none cuz Travis don't sell papers
Step-by-step explanation:
I'm kidding so 38 ÷ 2 = 19 so 38 + 19 or 19 × 3 = 57
Can someone help:(( graph y=2x
Answer:
Look at the attached screenshot
Step-by-step explanation:
Slope is 2.
Since y-intercept is not given, we can assume that it is 0.
Answer:
Step-by-step explanation:
Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:
x y
0 0
2 4
3 6 (and so on).
Plot this (0, 0) (it's the origin). Next plot either (2, 4) or (3, 6) (or both). Then draw a line through these points.
1. Which of the following situations could be represented by the equation y = - 2x + 88
a) Trey has traveled 2 miles and continues to travel ala speed of 88 miles per a hour b) Greg bas $88 in a short term savings account, and he deposits $2 each day. c) The temperature in Williamsburg Is 88° and increases about 2° each houn d) Priscilla is grading her homework and has an 88 so far. She will lose 2 points
Answer:
Y = -44 (hope this helps :)
Step-by-step explanation:
=2Y+88
We move all terms to the left:
-(2Y+88)=0
We get rid of parentheses
-2Y-88=0
We move all terms containing Y to the left, all other terms to the right
-2Y=88
Y=88/-2
Y=-44
Answer:
its D
Step-by-step explanation:
I got this correct in schoology
