A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.
The speed at which he walks is 7.7km/hr
The formula for calculating the distance is expressed as;
distance = speed * time
Let the speed moved by the man be x
If the man walks for 2 hours at a certain speed, his distance will be 2x km
If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr
If he goes 77km altogether, hence;
2x + 4(2x) = 77
2x + 8x = 77
10x = 77
x = 77/10
x =7.7km/hr
Hence the speed at which he walks is 7.7km/hr
Learn more here: https://brainly.com/question/13262646
Where , the distance between the points ( a, c) and ( b, c) is ( ) units
Answer:
I would love to help but there is no upload. Would you mind creating a new question with a picture or data of the graph
Step-by-step explanation:
find an equation for the line below
Answer:
y = 1/3 x + 14/3
Step-by-step explanation:
We can identify the two points shown easily.
They are (-2, 4) and (4, 6).
First, we find the line of the slope of the line that contains those two points.
slope = m = (y2 - y1)/(x2 - x1) = (6 - 4)/[4 - (-2)] = 2/6 = 1/3
Now we use one point and the slope to find the y-intercept.
y = mx + b
Let's use point (4, 6) and the slope, 1/3.
6 = (1/3)(4) + b
18/3 = 4/3 + b
b = 18/3 - 4/3
b = 14/3
The equation is
y = mx + b
y = 1/3 x + 14/3
Suppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter?
Using the interpretation of a confidence interval, it is found that approximately 950 of those confidence intervals will contain the value of the unknown parameter.
A x% confidence interval means that we are x% confident that the population mean is in the interval.
Out of a large number of intervals, approximately x% will contain the value of the unknown parameter.In this problem:
95% confidence interval.1000 samples.0.95 x 1000 = 950
Hence, approximately 950 of those confidence intervals will contain the value of the unknown parameter.
A similar problem is given at https://brainly.com/question/24303674
consider the system of equations. which shows an equivalent system of equations?
see attatched
Answer:
A.
Step-by-step explanation:
All choices show the first original equation.
Each choice shows a different second equation.
Take the second original equation:
6x + 5y = 30
Multiply both sides by -5.
-30x - 25y = -150
Answer: A.
Solve for x in terms of y if 3x - 5 = y.
Answer:
5/3
Step-by-step explanation:
y= 3x - 5
Replace y with 0
0 = 3x -5
Rewrite the equation as
3x−5=0
Add 5 to both sides of the equation.
3x=5
Divide each term by 3 and simplify.
x = 5/3
Hope this helped :)
Calculate the perimeter of a square with a side length of 3ft
The perimeter of a square is the length of one side multiplied by 4 ( the number of sides)
3 ft x 4 sides = 12 ft.
Perimeter = 12 ft.
pls help i’ll mark brainliest!!
Interpret the slope of the function in the terms of the problem.
25 ml of water are lost every hour
5 ml of water are lost every hour
10 ml wat are lost every hour
2mL of water are lost
can someone pls help me … I really need help
Answer:
It's the last one!
Step-by-step explanation:
Help please im struggling fighting demons rn
Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.
How many sit-ups did Matthew complete?
What's the kinetic energy of an object that has a mass of 12 kilograms and moves with a velocity of 10 m/s?
Answer:
Step-by-step explanation:
Assuming it has no spin
KE = ½mv²
KE = ½(12)10²
KE = 600 J
find the zscore which the area to the left is 0.46
Answer:
Z ≈ -0.100
Step-by-step explanation:
A suitable calculator, spreadsheet, or table of the normal distribution can tell you the answer. Attached in the result using a spreadsheet. The function arguments are (area, mean, standard-deviation).
Z ≈ -0.100
Could I get help on this?
Answer:
returning the collateral
What equation represents this graph?
find four rational numbers between -5 and 8
Answer:
4.3, 4,5, 5.4, and 5.5
Step-by-step explanation:
Classify: −4m+21(m−1)≤15m+2(m−1).
Answer:
[tex]\boxed{\sf All\: real\: numbers}[/tex]
Step-by-step explanation:
[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]
Apply Distribution law:
[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]
Combine like terms:
** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]
[tex]\sf 2(m-1)[/tex]
[tex]\hookrightarrow 2m-2[/tex]
-----------------------------------------
[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]
Combine like terms:
** [tex]\sf 15m+2m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]
Add 21 from both sides:
[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]
[tex]\longmapsto\sf 17m\le \:17m+19[/tex]
Subtract 17m from both sides:
[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]
[tex]\longmapsto\sf 0\le \:19[/tex]
Therefore, the solution of the inequality: All real numbers
_____________________________________________
PLZ HELP ASAP IS FOR IMPORTANT ASSIGNMENT Find the function that represents the relationship shown in the
table below and explain how you determined the equation by
showing your solution and adding statements to explain your
steps.
X
0
1
2
3
4
ON
у
-5
9
16
23
N
Edit
View
Insert
Format
Tools
Table
Answer:
Step-by-step explanation:
Solve for m.
35m>−30
a. m>−50
b. m<−50
c. m>−18
d. m<−18
Answer:
A.
m>-50
i asked for all the quizzes answers on my questions and i will tell you!
Step-by-step explanation:
k12
Answer:
m<-50
Step-by-step explanation:
If you paid $160 in interest to a loan company for the use of $10000 of or 30 days, what annual simple interest rate did they charge?
Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.
Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...
Which expression is equivalent to 3.5 B +4.5+0.5 B -0.5-1.5 B?
Answer:
+4.5B+0.5B-1.5B+0.5‐0.5+0.5
one of the acute angles of a right angle triangle is 35 degree find the measure of the acute angle.
Answer:
55°
Step-by-step explanation:
One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°
125°+ Unknown acute angle = 180°
Unknown acute angle = 180°-125°
Unknown acute angle =55°
Answer:
55°
Step-by-step explanation:
One triangle 180° 90+35 =125-180=55°
Abigail earned $10.26 for babysitting her cousin for 3 hours. How much did she earn in each hour?
Divide total earned by number of hours:
10.26/3 = $3.42
She earned $3.42 per hour
Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3
Answer:
24 R1
Step-by-step explanation:
how is 7 square root 2 is equal to 49?
Answer:
Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.
Suppose y varies directly with x. If y=16 when x= 8, find x when y=10
Answer:
5
Step-by-step explanation:
By question,
=> y = kx
When y = 16 , x = 8
=> 16 = x(8)
=> x = 2
When y = 10 ,
=> 10 = 2x
=> x = 5
Answer:
5
it is the correct answer
3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5
Answer:
[tex]5x^2 - 4[/tex]
Step-by-step explanation:
For shifted down a function you have to follow the next structured:
[tex]f(x) - c[/tex]
In our case is:
[tex]x^2 - 4[/tex]
Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:
[tex]f(cx)[/tex]
In our case is:
[tex]5x^2[/tex]
Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:
[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]
Then evaluate for a number, for example 5:
[tex]f(5) = 25\\g(5) = 5[/tex]
the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.
So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".
So combine the two transformation and get [tex]5x^2 - 4[/tex]
Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days
[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]
Answer:13:5
Hope it helps.
Do comment if you have any query.
geomtry plz help me 15 pointz
Answer:
m∠R=76°
Step-by-step explanation:
∠STR=∠RST=(2x+2)° (base angles of isos triangle)
2(2x+2)+(3x+1)=180 (angle sum of triangle)
4x+4+3x+1=180
7x+5=180
7x=180-5
=175
x=175÷7
=25
Hence, m∠R = (3x+1)°
= [3(25)+1]°
= (75+1)°
= 76°
Answer:
m∠R=76º
Step-by-step explanation:
All angles in a triangle add up to 180º.
The triangle given is an isosceles triangle.
(2x+2)+(3x+1)+(2x+2)=180
Remove parentheses.
2x+2+3x+1+2x+2=180
Collect like terms.
7x+2+1+2=180
Add.
7x+5=180
Subtract 5 from both sides of the equation.
7x=175
Divide 7 from both sides of the equation.
x=25
m∠R=(3x+1)º
3x25+1=76º
m∠R=76º
Hope this helps :)
Mr. Morton sold
bird houses to stores he started the week with 60 he sold 10 to one store and divided the rest between five other stores how many bird houses he’s so to each of the other five stores
Answer:
10
Step-by-step explanation: