Given:
The equation is
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
To find:
The values of m and b.
Solution:
We have,
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
Using distributive property, we get
[tex]8x-12-mx-5=5x+b[/tex]
On combining like terms, we get
[tex](8-m)x+(-12-5)=5x+b[/tex]
[tex](8-m)x-17=5x+b[/tex]
On comparing both sides, we get
[tex](8-m)=5[/tex]
[tex]-m=5-8[/tex]
[tex]-m=-3[/tex]
[tex]m=3[/tex]
And,
[tex]b=-17[/tex]
Therefore, m = 3 and b = 17.
Note: All options are incorrect.
A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,
What distance would it cover in 7 hours?
Answer: I think is 420 miles in 7 hours
hope this helps :D
Step-by-step explanation:
Answer:
A train would cover 180 miles in 3 hours, So in 6 hours it will cover 360 miles, in 7 hours it will cover 420 miles.
Step-by-step explanation:
150 miles → 2 1/2 hours = 150 minutes
x miles → 3 hours = 180 minutes
(150 × 180) ÷ 150 = x miles
27,000 ÷ 150 = x miles
180 = x miles
Dave answered 28 questions out of 40 correct on a test. What percent did he answer correctly?
Answer:
70 percent
Step-by-step explanation:
first divide your part by your total: 28/40
then multiply the result by 100
so, 28/40=0.7. 0.7×100=70 percent
An object was moving at a rate of 18.2 feet per second for 38.5 seconds. How far did the object travel?
Answer:
700.7
Step-by-step explanation:
You're looking for distance. So all you have to do is 18.2 x 28.5 and you'll get your answer.
Hope this helps. :)
The distance travelled 700.7 feet
What is speed- distance formula?Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,Distance = Speed X Time, and Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.given:
speed= 18.2 ft/ sec
time= 38.5 sec
So,
speed= Distance/ time
distance= speed * time
= 18.2 * 38.5
= 700.7 feet
Learn more about speed here:
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Look at the equation below.
d=(ri+r2)t
Which of the following shows the equation solved correctly for 11?
O ri=
n1 = 12
T =
det
T2
r = -2
O T1= .
dra
Answer:
D
Step-by-step explanation:
Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
sin(–60°)
cos(–60°)
cos(60°)
sin(60°)
Answer:
A. sin(-60°)
Step-by-step explanation:
test on edge
Answer of given expression is sin(-60°)
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given expression,
sin(20°)cos(80°) – cos(20°)sin(80°)
∵ sin(A-B) = sinA.cosB – cosA.sinB
∴ sin(20°-80°)
So, sin(-60°)
Learn more about Trigonometric functions
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Solve
6x + 5 = 3x + 14
Answer:
x = 3
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
6x + 5 − 3x = 3x + 14 − 3x
3x + 5 = 14
Step 2: Subtract 5 from both sides.
3x + 5 − 5 = 14 − 5
3x = 9
Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{9}{3}[/tex]
x = 3
Hope it helps!!
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
6x + 5 = 3x + 14
Simplify the equation, then we have
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 3
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
More about the solution of the equation link is given below.
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What is the distance from. P to n, shown in the figure?
A. -3
B. 1
C. 4
D. 5
Answer:
-5
Step-by-step explanation:
y2-y1/x2-x1
0-5/4-3
-5/1
f (x)=-x2 + 4x, solve for f(3)
Answer:
f(3) = 6
Step-by-step explanation:
F(3)=-(3)2+4(3)
f(3) = -6 + 12
f(3) = 6
Order the values from least to greatest
|-7|
-2
|-6|
-6
10
Answer:
-6, -2, |-6|, |-7| 10
Step-by-step explanation:
HELP!!
Are triangles ABC and ALM congruent
A. Yes by AA
B. Yes by SSS
C. Yes by SAS
D. They are not similar
Answer:C
Step-by-step explanation:
Care to help please!!
Answer:
M= the slope or the gradient
B= the y-intercept
y= the output value
x= the input value
Step-by-step explanation:
Answer:
m = 2
b = 8
y = 2x+8
10.15-10.16 with fractions
Find the area please ASAP
Answer:
30 units ^2
Step-by-step explanation:
area of triangle = (base × height) / 2
2b/3-5=3 what is the value of b
Answer:
‒3
Step-by-step explanation:
2b/3‒5=3
2b=3(3‒5)
2b=3(‒2)
2b=‒6
2b/2=‒6/2
b=‒3
you can proof as the following(by replace ‒3)
2(‒3)/3‒5=3
‒6/‒2=3
3=3
i hope it helps you
Estimate the value of 13 (between which two whole number)
Answer:
C
Step-by-step explanation:
between three and four
Which relationship is an inverse variation?
x 2 4 6 8
f(x) 12 6 4 3
x 1 2 3 4
f(x) –1 –2 –3 –4
x 1 2 3 4
f(x) 4 16 36 64
x 2 4 6 8
f(x) 6 12 18 24
The relation that is an inverse variation is the one in the first table:
x 2 4 6 8
f(x) 12 6 4 3
Which relation is an inverse variation?An inverse variation between two variables x and y can be written as follows:
y = k/x
Where k is a constant.
Notice that x is on the denominator, so, as x increases, the value of y decreases.
Now, for example if we use the values of the first table:
x 2 4 6 8
f(x) 12 6 4 3
The first pair is (2, 12)
Replacing that in the inverse variation formula we get:
12 = k/2
12*2 = k
24 = k
For the second pair (4, 6) we will get:
6 = k/4
6*4 = k
24 = k
And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).
So this is the correct answer.
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Choose the equation for the line in slope-intercept form.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (4,-1), (0,-3) and (-4,-5).
A. y=2x+3
B. y=12x+3
C. y=12x−3
D. y=−12x−3
BRAINLIEST ANSWER! please show the steps
-6k-24 > = 6 (1-2k)
Answer:
Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k
Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.
6k>=30 Divide. 6/6 and 30/6 and your answer is 5
Can anyone please help me with number 2 ❤️
Answer:
[tex]A = 101.5825591635[/tex]°
Step-by-step explanation:
We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)
So we want to solve for angle A.
We do this by using:
[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]
Here we have:
a = 36
b = 27
c = 19
So we plug in to get:
[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]
[tex]cos(A)=-0.20077972709[/tex]
[tex]A = 101.5825591635[/tex]°
15 1/2 + 12 2/3 + 10 3/4 as a mixed number in simplest form help asap
Answer:
37 23/12
Step-by-step explanation:
First, make them all have a common denominator.(12) Then, multiply as needed. Lastly, add all three number together.
Answer:
38 11/12
Step-by-step explanation:
Turn all denominators to 12. what you do the the bottom due to the top.
find the length of the angle inducated for each trapezoid.
First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.
the first one:
the angle P =90⁰
the angle Q=90⁰
So you do the deduction:
360⁰-90⁰-90⁰-65⁰= 115⁰
the second one:
the angle F=60⁰
so you do the same thing as number one:
360⁰-60⁰-60⁰= 240⁰
240⁰/2= 120⁰
Voilà!
solve for the perimeter
Answer:
can you provide more information and explain
Step-by-step explanation:
What is the slope of the line? (Picture)
For each representation below, decide if it is a function. justify your answer. ( I literally don’t understand this please help, THANK YOU!:)
Answer:The Answer is Answer is B
The temperature of a liquid is changing by -4.32 degrees celsius per minute. What will be the temperature change, in degrees Celsius over a period of 6.5 minutes?
Answer:
-28.08 degrees celsius
pls help how do you do this??
-1 1/5 * 6 -1 5/6 * 5
-1 6/30 divided by -1 25/30
-4/30
i think thats the answer sorry if im wrong :(
If two distinct lines intersect, which is NOT necessarily true?
The lines are perpendicular.
consider the following figure
Answer:
that look like complementry and supplementry angles
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
The Batmobile broke down so Batman went to the car dealership to purchase a new car. Batman negotiated the price of his car to an even $40,000. If Batman pays 8% tax for his car, how much will he pay total with tax?
(Please also show work)
Answer:
$43,200
Step-by-step explanation:
40,000*0.08=3,200
40,000+3,200=43,200
Hope this helps!
which set of numbers represents a Pythagorean triple
6,9,12
7,10,12
16,18,25
27,36,45
Answer:
27,36,45
Step-by-step explanation:
Pythagorean theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]6^{2}+ 9^{2}\\ =117\\\neq 12^{2}[/tex]
[tex]7^{2}+ 10^{2}\\ =149\\\neq 12^{2}[/tex]
[tex]16^{2}+ 18^{2}\\ =580\\\neq 25^{2}[/tex]
[tex]27^{2}+ 36^{2}\\ =2025\\= 45^{2}[/tex]