1) Each student has 2 shoes. How many shoes are there for 8 students?

Answer:

  (x, y) = (9, 17)

Step-by-step explanation:

Any two pairs of equations can be used to form a system of equations that will give appropriate values of x and y. Let's set the upper and lower left expressions equal to the middle one.

  2x +3y -20 = 4x +5y -72 . . . . upper left = middle

  52 = 2x +2y . . . . . . . . add 72-2x-3y

  x + y = 26 . . . . . . . . . . divide by 2

and ...

  5x -2y +38 = 4x +5y -72 . . . . lower left = middle

  110 = -x +7y . . . . . . . . . . . . . add 72-5x+2y

Now we have two equations in two unknowns that will give us the common values of x and y. Adding these equations eliminates x and gives the value of y:

  (x +y) +(-x +7y) = (26) +(110)

  8y = 136 . . . . . . . . simplify

  y = 17 . . . . . . . . . divide by 8

  x = 26 -y = 26 -17 = 9

The values of x and y that make all of these expressions equal are ...

  (x, y) = (9, 17)

The value they are equal to is ...

  2x +3y -20 = 2(9) +3(17) -20 = 18 +51 -20 = 49

__

Check

  upper right = 9 -4(17) +108 = 9 -68 +108 = 49

  lower right = 3(9) -17 +39 = 27 -17 +39 = 49

Answer:

Step-by-step explanation:

Let the third side is x.

According to Triangle-angle-bisector theorem, we have the possible ratios:

or

Solve for x in each case:

1)

2)

Answer:

50

Step-by-step explanation:

Because if the tringles are equal they'll be the same amount (110) 50+60= 110

Answer:

The probability of choosing a red marble is 35%.

Step-by-step explanation:

Total marbles: 17

[tex]\frac{6}{17} = 0.35[/tex]

Answer:

[tex]tan(A) = \frac{4}{3}[/tex]

Step-by-step explanation:

Here we see tan(B) has opposite side of 12 and adjacent of 9

using the formula:

[tex]tan(A) = \frac{opposite }{adjacent}[/tex]

[tex]tan(A) = \frac{12}{9}[/tex]

[tex]tan(A) = \frac{4}{3}[/tex]

Answer:

[tex]\textsf{tan(A)}=\frac{4}{3}[/tex]

Step-by-step explanation:

The trig ratio for tan is:  [tex]\textsf{tan}(x)=\mathsf{\frac{O}{A}}[/tex] where

For angle A:

O = 12

A = 9

[tex]\implies \textsf{tan(A)}=\frac{12}{9}\\\\\implies \textsf{tan(A)}=\frac{4}{3}[/tex]

Answer:

x= 1

Step-by-step explanation:

The value of y = -5x

Plug it in the equation of y + 4x = -1

So it becomes, -5x + 4x = -1

Combine like terms which are -5x and 4x which equals to -x

Eliminate the negative sign because x cannot be negative. Apply that to -1. It becomes 1.

Hope you find this helpful!

Answer:

Step-by-step explanation:

Equation 1: y = -5x

Equation 2: y + 4x = -1

Step 1. Substitute y in equation 2 using equation 1

You would get, -5x + 4x = -1

Step 2. Combine like terms

-x = -1

Step 3. Cross out the negatives

x = 1

Step 4. Substitute x in Equation 1 to get y

y = -5(1)

y = -5

Hope this helps :)

Have a great day!

Answer:

g= h(3j+7)

     ---------

          4

Step-by-step explanation:

4g = h(3j + 7)

4g = h*3j+h*7

Answer:

$26.75 per scarf

Step-by-step explanation:

3 scarves = $80.25 (quite expensive)

1 scarf = $80.25/3

1 scarf = $26.75

Answer:

$8.75 because 26.25 divided by 3 equals 8.75.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = [tex]\frac{hb}{2}[/tex]

h = 10 cm , b = 17 cm

A = 10 × 17 ÷ 2 = 85 cm²

Check the picture below.

so let's simply get the area of each of the triangular faces and the base and sum them all up.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2\left[ \cfrac{1}{2}(100)(40) \right]}~~ + ~~\stackrel{\textit{left and right}}{2\left[ \cfrac{1}{2}(50)(40) \right]}~~ + ~~\stackrel{base}{(100\cdot 50)}} \\\\\\ 4000~~ + ~~2000~~ + ~~5000\implies 11000~m^2[/tex]

Step-by-step explanation:

4

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

Answer:

80%

Step-by-step explanation:

Based on the given conditions: (18 - 10)÷10

Calculate the sum or difference: 8/10

Cross out the common factor: 4/5

Convert to percentage: 80%

Answer: 80%

Answer:

80%

Step-by-step explanation:

Based on the given conditions, formulate: (18-10) ÷ 10

Calculate the sum or difference: 8/10

Cross out the common factor: 4/5

Convert to percentage: 80%

Answer: 80%

Hope this helps

[tex]\frac{ - 5}{2} \: by \: \frac{5}{7} [/tex]

[tex] - 3.5[/tex]

Answer : [tex] - 3.5[/tex]

Answer:

1a) A chemical compound is a chemical substance composed of many identical molecules composed of atoms from more than one element held together by chemical bonds. A molecule consisting of atoms of only one element is therefore not a compound.

1b)An ionic compound formed by acid-base reactions and without those ions is called a salt. Water is definitely one of the most important inorganic compounds to all living things. It is a compound comprised of two hydrogen atoms and one oxygen atom.

The four major classes of biological macromolecules are carbohydrates, lipids, proteins, and nucleic acids.

2a)Regulates body temperature. Moistens tissues in the eyes, nose and mouth. Protects body organs and tissues. Carries nutrients and oxygen to cells.

2b)If a cell is seriously deprived of water,

this lack of water would most likely affect

the cell's enzymes because:

• The cytoplasm and plasma

membrane would not function

properly

Both the plant and animal cell needs

water in order to perform their basic

functions which include transport of

materials, waste distribution, production

of genetic information, and many more.

As a result of this, we can see that there

would be a serious problem if any

of these cells are deprived of water

which would lead to the cytoplasm and

plasma membrane to partially shut

down because they would not be able to

engage in protein synthesis and other

important functions.

3a)Carbohydrates provides energy rich for organic compounds made of elements carbon, hydrogen and oxygen. The lipids contain the element nitrogen. The carbohydrates contain the only elements carbon, hydrogen, and oxygen.

3b)Organic nitrogen occurs in many forms, including amino acids, proteins, nucleic acids, nucleotides, and urea.

3c)A carbohydrate has only Carbon, Hydrogen and Oxygen, with the hydrogen and oxygen in the ratio 2:1. A protein is made of amino acids. ... So without nitrogen atoms the compound can not be a protein.

Answer:

16

Step-by-step explanation:

The number after 15 s 16.

Answer:

D. 1 has a lower absolute value

Step-by-step explanation:

D is the answer because -4 is negative and can never be more than a positive number like 1.

Answer:

D

Step-by-step explanation:

because 1 have 1 absolute value and -4 have 4 absolute value

since 4 is greater than 1

so 1 have lower absolute value

Answer:

2 1/2   (2.5)

Step-by-step explanation:

Multiply all the numbers then divide by 1/2

Answer:

18 buttons

Step-by-step explanation:

2 buttons per shirt times the number of shirts (9) gives an answer of 18

Answer:

no

Step-by-step explanation:

√(2*10= √20= 4.47

2*√10= 6.32

Answer:

No.

Step-by-step explanation:

[tex]=\sqrt{2*10}\\\\=2\sqrt{5}[/tex]

[tex]=2\sqrt{10} \\\\=2\sqrt{10}[/tex]

2√5≠2√10

Answer:

  a. length: 20-2x; width: 12-2x; height: x

  b. V = 4x^3 -64x^2 +240x

  c. cubic trinomial

  d. 262.7 cubic inches maximum for a 2.4 inch square

  e. 15 × 7 × 2.5 inches for 262.5 in³ volume

Step-by-step explanation:

If the square cut from each corner has side length x, the dimensions are ...

__

The volume is the product of length, width, and height.

  V = LWH

  V = (20 -2x)(12-2x)(x) = 4(x-10)(x-6)x = 4(x^2 -16x +60)x

  V = 4x^3 -64x^2 +240x

__

The volume function is a cubic trinomial.

__

The maximum volume will be found where the derivative of the volume function is zero.

  V' = 12x^2 -128x +240 = 0

  x^2 -32/3x +20 = 0 . . . . divide by 12

  (x -16/3)^2 = 76/9 . . . . . complete the square

  x = (16 -√76)/3 ≈ 2.4 . . . . size of the square

  V = 4(2.4)(10 -2.4)(6 -2.4) ≈ 262.7 . . . cubic inches

The maximum box volume is about 262.7 cubic inches when the square is about 2.4 inches on each side.

__

A graphing calculator shows there to be two solutions for a volume of 262.5 cubic inches. The rational solution is x = 2.5 inches. The box dimensions would be ...

Answer:

Amy puede hacer 4 conjuntos.

Step-by-step explanation:

La solución sería

Se sabe que un conjunto de vestir se compone de camisa o blusa, pantalones, zapatos y cinturones, aunque este ultimo es opcional.

Lo que haremos es esto, empezamos a coger una pieza de cada prenda para armar un conjunto.

Primer conjunto:

1 blusa, 1 pantalón, 1 cinturón, y 1 par de zapatos.

Y esto quedaría así: 3 pantalones, 6 blusas, 1 cinturón y 4 pares de zapatos.

Segundo conjunto:

1 blusa, 1 pantalón, 1 cinturón y 1 par de zapatos.

Esto quedaría así: 2 pantalones, 5 blusas, 0 cinturones, 3 pares de zapatos. Sabemos que el cinturón es opcional, así que podemos continuar.

Tercer conjunto:

1 blusa, 1 pantalón y un par de zapatos.

Esto quedaría así: 1 pantalón, 4 blusas, 0 cinturones y 3 pares de zapatos.

Cuarto conjunto:

1 blusa, 1 pantalón y un par de zapatos.

Esto quedaría así: 0 pantalones, 3 blusas, 0 cinturones y 2 pares de zapatos. Como en un conjunto el pantalón es prioridad, al no tener más pantalones los conjuntos quedarían hasta aquí.

¡Recuerda!

No es lo mismo organizar tu ropa en conjuntos, a que hagas variaciones con ella.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{2}~,~\stackrel{y_1}{8})\qquad D(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x + 2}{2}~~~ ,~~~ \cfrac{ y + 8}{2} \right)~~ = ~~\stackrel{\stackrel{M}{\downarrow }}{(-2~~,~~2)}\implies \begin{cases} \cfrac{x+2}{2}=-2\\[1em] x+2=-4\\ \boxed{x=-6}\\[-0.5em] \hrulefill\\ \cfrac{y+8}{2}=2\\[1em] y+8=4\\ \boxed{y=-4} \end{cases}[/tex]

Answer:

6 hours.

Step-by-step explanation:

since that is true we can use trial and error. if every km took an hour it would take six hours up and 4 hours down but they said they were twice as fast going down so that means it would take 2 hours going down. 6 add 2 is 8 which is our total meaning that 6 hours is the right answer

Hi there!!

  If you need  X to be solved then the answer is X=Y over 5+3 and if your looking for the answer for Y then the answer is Y=5x−15

When you are solving for X you will need to use the distributive property so you can multiply 5 by X-3.

Y=5x-15. Once you've done that then you need to swap sides so all of the variables are on the same side as each other  (they need to be on the left side) 5x-15=Y.

Then you need to add 15 to both of the sides to make it look like this     ->5x=Y+15

When that's done you then need to divide both sides by 5 so it then looks like this when done.

5x over 5= Y+15 over 5

When you divide this by 5, it then undoes the multiplication by 5.

X= Y+15 over 5

Finally, you need to divide Y+15 by 5

X=Y over 5 plus 3

When solving for Y, all you will need to do is use the distributive property to multiply 5 by X-3.

I REALLY HOPE THIS HELPED YOU OUT AND THAT I DIDN'T WASTE YOUR TIME WITH A WRONG ANSWER . BUT IF THIS WAS CORRECT THEN YOU ARE VERY WELCOME

Answer:

Step-by-step explanation:

The total amount is $2.41.

If the are 23 pennies, then the amount excluding the pennies is:

This amount comprises quarters, nickels and dimes.

Each of them is multiple of 5:

Any amount made by the combinations of these has to be multiple of 5 cents. But the sum is $2.18, which is not multiple of 5 cents.

It means Henry can't make it.

Answer:

yes

Step-by-step explanation:

The 2 base angles of an isosceles triangle are congruent.

66° + 66° + 48° = 180° ( sum of angles in a triangle )

Thus the triangle is isosceles with base angles = 66° and vertex = 48°

[tex] \rightarrow \: \sf \dfrac{10}{100} \times 1500[/tex]

[tex] \\ \\ [/tex]

[tex] \rightarrow \: \sf 10 \times 15[/tex]

[tex] \\ \\ [/tex]

[tex] \rightarrow \: \sf 150[/tex]