y Varies directly as the product of M and N and inversely as their
Sum. if y = 4, when N=2 and m= 1, What is the value of y when M=6
and N=5.​

Step-by-step explanation:

A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.

find her speeds for both parts of the journey.

:

let s = his original speed

then

(s+9) = the increased speed

:

Write a time equation; time = dist/speed

146%2Fs = 164%2F%28%28s%2B9%29%29

cross multiply

164s = 146(s+9)

164s = 146s + 1314

164s - 146s = 1314

18s = 1314

s = 1314/18

s = 73 km/h is his original speed

:

Answer:

Step-by-step explanation:

For the multiplication of two matrices, number of columns in 1st matrix should be equal to the number of rows of the 2nd matrix.

In the given question,

1st matrix → [tex]\begin{bmatrix}2 & 8 & 1\\ 0 & 5 & -2\end{bmatrix}[/tex]

Number of columns in this matrix = 3

2nd matrix → [5 2 1]

Number of rows in this matrix = 1

Therefore, number of columns in 1st matrix are not equal to the number of rows in the 2nd matrix.

Therefore, multiplication of matrices given in the picture is "Impossible".

Answer:

impossible

Step-by-step explanation:

accellus

Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.

Step-by-step explanation

Just took a test on this, I passed

Answer:

domain :- (-4, 1, 4,5)

Range:- (-3,0,0,2)

Step-by-step explanation:

Answer:

domain :- (-4, 1, 4,5)

Range:- (-3,0,0,2)

Hope this helps! :)

Answer:

Mehmed II

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Answer:

(b)26

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Answer:

rectangle

Step-by-step explanation:

Answer:  Rectangle

Step-by-step explanation: Hope this helps ! :)

Answer:

x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1

Answer:

(A) V = π(8)²h

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

Answer:

Lesser returns > T bills

Higher risks > A-rated bonds

Costly and time consuming > Property

No steady cash flow > stocks

Step-by-step explanation:

I just took the test

Answer:

∠POM and ∠POR

Step-by-step explanation:

Step-by-step explanation:

angle POM and angle QRT

Answer:

B

Step-by-step explanation:

A(-3 , 3) -> A'(-9 , 9)

B(3 , 3) -> B'(9 , 9)

C(3 , 0) -> C'(9 , 0)

A'B'C' is a dilation of ABC about the origin with factor of 3

ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement

Answer: 10 miles

Step-by-step explanation:

You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:

3x = 30.00

and then divide both sides by 3:

x = 10

So she traveled 10 miles.

The Taxi ride was 10 miles.

An equation is an expression that shows the relationship between two or more numbers and variables.

We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out the miles she traveled.

Then subtract 3.20 from both sides:

3x = 30.00

then divide both sides by 3;

x = 10

Therefore, she traveled 10 miles.

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Answer:

let base = 6cm

perpendicular =x cm

hypotenuse =10cm

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

10²=x²+6²

100-36=x²

x=√64=8cm

the measure of the other leg is 8cm

The measure of the other leg of the right triangle is equal to 8 cm.

Given the following data:

To find the measure of the other leg, we would apply Pythagorean's theorem:

Mathematically, Pythagorean's theorem is given by the formula;

[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]

Opposite = 8 cm

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Answer: Never produce a rational numbers

Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

Answer:

5

Step-by-step explanation:

Answer:

Jacoby is correct.

Step-by-step explanation:

Shop A= $6 ÷ 2 = $3/pound

Shop B= $15 ÷ 5 = $3/pound

Answer:

100 miles

Step-by-step explanation:

Given data

let the number of miles driven be x

and the total charge for x miles be y

Hence the expression for the total charge is

Rapid Rental Car

charges a $55.00 rental fee plus $0.25 per mile driven.

y= 55+0.25x--------------1

Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.

y= 45+0.35x--------------2

Equate 1 and 2

55+0.25x= 45+0.35x

collect like terms

55-45=0.35x-0.25x

10=0.1x

x= 10/0.1

x= 100 miles

Hence the mile is 100 miles

Answer:

172,872÷6=28,812.33 I believe this is the answer

Answer:

10

Step-by-step explanation:

4(1)+2(3)=10

Nora would score 10 and for  x free throws and y three point shots x + 3y.

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

points on free throws = 1

points on 4 free throws = 4x1 = 4

and  points on 2 three point shot = 2x3 = 6

total points are 4 + 6 = 10

and if she made x free throws then points are = 1x

and for y three point shots = 3y

total points for x free and y three point shots

x + 3y

Hence the points are 10 and x + 3y.

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Answer:

148 degrees

Step-by-step explanation:

360 - 74 - 138 = 148 degrees

Answer:

13000m

Step-by-step explanation:

Given data

Total distance travelled=  65,000

Number of days= 5 days

Hence the distance covered per day is

= 65,000/5

=13000m

Therefore the distance covered per day is 13000m