Which of the following are true?

Answer:

see below (I hope this helps!)

Step-by-step explanation:

T = WP [ M² - (M - S)² ]

T = WP [ M² - (M² - 2MS + S²) ]

T = WP (2MS - S²)

T = 2WPMS - WPS²

T + WPS² = 2WPMS

M = (T + WPS²) / (2WPS)

Full question :

A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?

Answer:

4% loss(percentage loss on cost price)

Step-by-step explanation:

we will be employing algebra in solving this problem :

20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange

Say x oranges bought at 3Rs per orange=3Rsx

Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange

Say x oranges bought at 3Rs per orange=2Rsx

Total Cost Price = 3Rsx + 2Rsx = 5Rsx

He then sells all oranges at 25 for 60 Rs

Therefore price per orange=60/25=12/5Rs

since he sold x+x oranges(from the above calculations)

Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs

Profit or loss=24x/5-5x=-x/5

therefore we have a loss =-x/5

Percentage of loss(on cost price)

=x/5÷5x∗100=

=1/25∗100=4%

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 308 m²

The length of a rectangle is 6 meters less than twice its width is written as

l = 2w - 6

Substitute this into the above formula and solve for the width

We have

308 = (2w - 6)w

2w² - 6w = 308

2w² - 6w - 308 = 0

Divide both sides by 2

We have

w² - 3w - 154 = 0

( w + 11)( w - 14) = 0

w + 11 = 0 w - 14 = 0

w = - 11 w = 14

Since the width cannot be negative

w = 14

Substitute w = 14 into l = 2w - 6

That's

l = 14(2) - 6

l = 28 - 6

l = 22

Therefore

length = 22cm

width = 14cm

Hope this helps you

Answer:

x^2 +14x+49

Step-by-step explanation:

Area = length * width

        = ( x+7) * ( x+7)

       FOIL

    first: x^2

    outer: 7x

   inner: 7x

    last: 7*7 = 49

Add them together

x^2 +7x+7x + 49

Combine like terms

x^2 +14x+49

Answer:

4 hours 7 minutes

Step-by-step explanation:

Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.

Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:

.1 + .143 = .243

The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:

.243x = 1   Divide each side by .243

x = 1/.243

x ≈ 4.115

Let's convert .115 to minutes by multiplying by 60

.115 * 60 = 6.9 round to 7 for 7 minutes

It will take them around 4 hours 7 minutes to clean the attic.

Answer:

1/7

Step-by-step explanation:

If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.

Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.

Answer:

only (12) has a linear pair

Step-by-step explanation:

Recall that for two angles to be called a "Linear Pair", they need to satisfy several conditions:

1) The two lines must intersect at a shared point (i.e common vertex)

2) The two angles must be adjacent (i.e immediately next to one another)

3) The two angles must add up to 180 degrees.

In our case,

in (9), the angles are not adjacent and  they do not add up to 180 deg, so this is NOT a linear pair

in (10), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair

in (11), the lines do not intersect at a shared point(they do not have a common vertex). Plus we cannot be 100% sure that they add up to 180 deg. Hence this is not a linear pari

in (12), we can see that the angles satisfy all 3 conditions above. This is a linear pair.

Answer:

b

Step-by-step explanation:

Answer:add 3

Step-by-step explanation:

Answer:

The value of x in this equation is -4.

Step-by-step explanation:

2(4x - 6) = 4(3x - 7)

Distribute 2 to (4x - 6) and distribute 4 to (3x - 7)

8x - 12 = 12x - 28

Subtract 12x form both sides of the equation.

-4x - 12 = -28

Add 12 to both sides of equation.

-4x = 16

Divide -4 on both sides of the equation.

x = -4

The value of x is -4.

Answer:

x=4

Step-by-step explanation:

Starting with 2(4x-6) you apply the distributive law: a(b-c) = ab - ac

a =2,  b=4x, c=6

2(4x-6) = 2*4x-2*6 Then multiply the numbers 2*4

8x-2*6 = multiply 2*6

8x-12

Then for 4(3x-7) you apply the distributive law.

a =4, b=3x, c=7

4*3x-4*7 multiply 4*3

12x-4*7 multiply 4*7

12x-28

Then the equation would be 8x-12 = 12x-28. Add 12 to both sides.

8x=12x-16 Subtract 12x to both sides

-4x=-16 divide both sides by -4

then you'll get Positive 4 as your x.

Answer:

[tex]\Large \boxed{\mathrm{Water}}[/tex]

Step-by-step explanation:

Hydrogen and oxygen are elements that form the compound known as water.

Water comes pouring out, it drips, it dribbles, and it comes from a spout.

Answer:

Water

Step-by-step explanation:

Most of the water in our world is a combination of "ordinary" hydrogen atoms with "ordinary" oxygen atoms, but there are actually three different istopes (atomic varieties) of hydrogen and each of those can combine with oxygen to give a different kind of water.

If deuterium (hydrogen whose atoms contain one neutron and one proton instead of just one proton by itself) combines with oxygen, we get something called heavy water, which is about 10% heavier than normal water.

Similarly, tritium (hydrogen with two neutrons and one proton) can combine with oxygen to make something called super heavy water.

Water comes pouring out it drips and it dribbles and it comes from a spout​.

Answer:

D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.

Step-by-step explanation:

In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.

42 is not the slope because it is the y-intercept.

D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.

Answer:

D.

Step-by-step explanation:

The slope is the coefficient of n ( the month) which is 23.

This means the stock increases each month by a factor of 23.

Answer:

Step-by-step explanation:

[tex]3+11t-9u\\t = 9\\u =11\\\\3+11(9) -9(11)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:11\left(9\right)\::\quad 99\\=3+99-9\left(11\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\left(11\right)\::\quad 99\\=3+99-99\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+99-99\:\\:\quad 3[/tex]

Answer:

[tex] - 19[/tex]

Step-by-step explanation:

[tex]3 + 11t - 9u = 3 + 11(9) - 9(11) = 3 + 99 - 121 = - 19[/tex]

Answer:

21

Step-by-step explanation:

Use PEMDAS

P ---> Parenthesis

E ----> Exponents

M & D -------> Multiplication & Division

A & S ------> Addition & Subtraction

5 + 4*(8 - 6)² = 5 + 4*(2)²

                     = 5 + 4*4

                     = 5 + 16

                     = 21

Answer:

f(-9) = 279

Step-by-step explanation:

f(x) = 4x^2 + 7x + 18

f(-9) = 4(-9)^2 +7(-9) + 18

       = 4(81) - 63 + 18

       = 324 - 63 + 18

       = 279

hope this helps! Its the answer key to something almost exact

The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

12 people fit comfortably in a 5 by 5 feet area.

Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.

The fractions:

12/25 = x/(5280×10)

After cross multiplication:

25x = 633600

x = 633600/25

x = 25344

Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer: Answer is in the step.

Step-by-step explanation:

The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.

Answer:

2.14285714286 or 2 1/7 gummy bears

Step-by-step explanation:

15/7=2.14285714286 or 2 1/7

Answer:

Hello! Answer below, with an picture too :)

Step-by-step explanation:

:::::: [tex]2[/tex] [tex]1/7[/tex]

The answer is 2 1/7 or 2 R 1

Steps:

So we do 15 divided by 7.

[tex]\sqrt[7]{15}[/tex]

***********************************

0 2

....................

7 ⟌ 1 5

- 0

.............

1 5

- 1 4

.............

1

Steps below in the picture, too!

By:✨RobloxYt✨

(Picture attached)

Answer: True

Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median

Answer:

x = 18/25

Step-by-step explanation:

(4/5)² = 2x - 4/5

16/25 = 2x - 4/5

16/25 = 2x - 20/25

36/25 = 2x

x = 18/25

Answer:

x= 18/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circular shape.

the problem also requires that we find the perimeter of the circular track

the expression for the perimeter of a circle is given as

[tex]C= 2\pi r[/tex]

Given

diameter of the circular track = 75 meters

radius of circular track = d/2 = 75/2= 37.5 meters

Substituting our data into the expression for perimeter we have

[tex]C= 2*3.142 *37.5\\\\C= 235.65[/tex]

Approximately the length is 235 meters.

Answer:

The answer is

Step-by-step explanation:

To solve the radicals make sure that they both have the same radical

That's

Simplify 3√28 in order to combine the radicals

We have

So we now have

Using the rules of surds

That's

Simplify the expression

We have

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex]4\sqrt{7}+3\sqrt{28}=4\sqrt{7}+3\sqrt{2*2*7}\\\\\\ =4\sqrt{7}+3*2\sqrt{7}\\\\\\= 4\sqrt{7}+6\sqrt{7}\\\\\\=(4+6)\sqrt{7}\\\\\\ =10\sqrt{7}[/tex]

Answer:

7

Step-by-step explanation:

Prime factors of 4732:

As we see if we remove 7 from the factors list, we get the perfect square of 2²×13²= 26²

So the number by which 4732 should be divided is 7

Answer:

x = 7.5

Step-by-step explanation:

We see that in order to find x, we need to use tangent, which is opposite over adjacent.

Step 1: Set up equation

tan37° = x/10

Step 2: Multiply 10 on both sides

10tan37° = x

Step 3: Evaluate

x = 7.53554

Step 4: Round

x = 7.5

Answer:

137

Step-by-step explanation:

the way to get it is that part that looks like a square inside the triangle is 90 so when you finish getting all the sides the answer will give you 137

Answer:

75 miles squared

Step-by-step explanation:

First we have to convert 1 inch = 5 miles to square miles as that is what we are trying to get

So, 1 inch squared = 25 miles squared

To get 75 miles squared, we multiply both sides by 3.

So 3 * 1 inch squared = 3 * 25 miles squared

Gets us 3 inch squared = 75 miles squared

Answer:

17

Step-by-step explanation:

3x + 2y = 3(3) + 2(4) = 9 + 8 = 17

Answer:

[tex]\huge\boxed{17}[/tex]

Step-by-step explanation:

[tex]3x+2y\\\\\text{When: }\boxed{x=3; y=4}\\\\3(3)+2(4)\\\\3*3+2*4\\\\9+8\\\\\boxed{17}[/tex]

Answer:

x = -1, 2

Step-by-step explanation:

Step 1: Write out equation

(x - 2)(3x + 3) = 0

Step 2: Solve each individual root

x - 2 = 0

x = 2

3x + 3 = 0

3x = -3

x = -1

Step 3: Arrange from least to greatest

-1 < 2

So x = -1, 2

Answer:

x = -1    x = 2

Step-by-step explanation:

(x-2)(3x+3)=0

Using the zero product property

x-2 =0    3x+3 =0

x=2       3x = -3

             x = -3/3

             x = -1

so you divide the rational number if the decimal on both sides if one is greater and the other less than the number that's greater should have the greater sign. but, if theres a number that's less then you should put the less than sign and if both numbers are the same number you should put the equal sign