a) 5
11 + 4
3
add the following rational number

Answer:

1 4/8 or 1 1/2

Step-by-step explanation:

1 whole of a pizza is 8/8 and then add 4 slices left from the 12 slices,

so they sold 1 1/2 pizza

Answer:

please see the photo above for detailed analysis.

Answer:

3060 [tex]cm^{2}[/tex]

Step-by-step explanation:

Find the cross-sectional area first of the trapezium

[tex]\frac{1}{2} (a+b)h[/tex]

So,  [tex]\frac{1}{2}(6+34)15[/tex]

which is 40 / 2 x 15 = 20 x 15 = 300 [tex]cm^{2}[/tex]

Since there are 2 trapeziums (on the front and back): 300 x 2 = 600[tex]cm^{2}[/tex]

Find the Area of the Rectangles

The first rectangle on the top would be: 6x30 = 180 [tex]cm^{2}[/tex]

The slanted rectangle on the right would be: 25x30 = 750 [tex]cm^{2}[/tex]

The rectangle on the bottom would be: 30x34 = 1020 [tex]cm^{2}[/tex]

The hidden rectangle on the left would be: 17 x 30 = 510 [tex]cm^{2}[/tex]

So by combining all these calculations, you will get the total surface area which is:

600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 [tex]cm^{2}[/tex]

Answer:

Look to explanation

Step-by-step explanation:

The question says the original mosaic  is surrounded by a 3 inch by 5 inch frame.  The length has 5 squares & the width has 3 squares, so that means each square is an inch long.

1.  Perimeter is adding up how long all the sides are.  So for the original you add 3 + 5 + 3 + 5 = 16 inches

2.  Area is length x width, so we multiply 3 x 5 = 15 inches squared

3.  Since each square is an inch, to find the length we add up all the squares & we get 10.  Then we do the same for the width & get 6.  To figure perimeter, we add up all the sides  10 + 6 + 10 + 6 = 32 inches

4.  Area is length x width, so 10 x 6 = 60 inches squared

5.  For the original we needed 16 inches of steel.  For the larger one, we needed 32 inches.  32 inches is 2x bigger than 16.

6.  For the original we had an area of 15 inches squared.  For the larger one we had 60 inches squared.  60 is 4x bigger than 15.

Answer: C

Step-by-step explanation:

Answer:

Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula,

[tex]~~~~~(x+5)^2 = 16\\\\\implies x+5 = \pm\sqrt{16}\\\\\implies x+5 = \pm 4\\\\\implies x =-5 \pm 4\\ \\\implies x = -9~~ \text{or}~~~x=-1[/tex]

14.    People who buy a pair of shoes from the store

15    did not include those who visited the store, but did not buy a pair of shoes

16.    every 5th buyer

Answer:

x > 20/7

good luck on your test <3

Answer:

5.6 x [tex]10^{4}[/tex]

Step-by-step explanation:

7 x 8 = 56

[tex]10^{-2}[/tex] x [tex]10^{5}[/tex] = [tex]10^{3}[/tex]

56 x [tex]10^{3}[/tex]

5.6 x [tex]10^{4}[/tex]

Answer:

The answer is

[tex]5.6 x 10^{4}[/tex]

Answer:

12

Step-by-step explanation:

Answer:

A. (12= 6) + 7 = 12

Step-by-step explanation:

Answer:          Double= 314m2

AStep-by-step explanation:

Answer:

60m2

Step-by-step explanation:

Answer:

  (d)  68 m²

Step-by-step explanation:

The figure can be decomposed into two congruent trapezoids, each with bases of 12 m and 5 m, and height 4 m. The formula for the area of a trapezoid can be used.

__

  A = 1/2(b1 +b2)h . . . . . area of one trapezoid with bases b2, b2; height h

  A = 1/2(12 m +5 m)(4 m) = 34 m²

The area of the hexagon is double this:

  hexagon area = 2 × 34 m² = 68 m².

Answer:

see below

Step-by-step explanation:

l,w,h  are all = 4 in

sa = 4x4 * 6 = 96 in^2

The inequality that can be used to represent the situation is x + 15 ≥ y

Let

The inequality:

x + 15 ≥ y

This means, the number of pages read plus 15 pages read tonight is greater than or equal to the total number of pages in the textbook.

Learn more about inequality:

https://brainly.com/question/25275758

Answer:

Step-by-step explanation:

Change a=2b to y=2x.

a/y = # of shirts Wanda has
b/x = # of shirts Will has.

Will has double the amount Wanda has each time.

The values of a through e that make these two relations inverses of each other. a = b = c = d = e = are:

This refers to the function of a function f that undoes the operation of f. The inverse of f exists if and only if f is bijective. It is also known as reciprocals.

Now, if we assume that y = g(x) and y = h(x) are inverse of each other, where g(x) and h(x) are two different functions.

Then if a = g(b) then b = h(a).

Now, in the given table from the complete question, we would have

a = - 3.8, b = - 2.6, c = 1.7, d = 4.4 and e = 1.0 as the values of the function in inverse.

Read more about inverses here:
https://brainly.com/question/14379760

Answer:

Step-by-step explanation:

The volume formula

Given

Find the volume by substituting the values into formula

Area of base=8.15cm²

Volume

Answer:

4

Step-by-step explanation:

4 (4) + 2 = 18

16 + 2 = 18

18 = 18

Answer:

Step-by-step explanation:

1:

Solve 4(1) + 2 = 18:

1 is false.

2:

Solve 4(2) + 2 = 18

2 is false.

3:

Solve 4(3) + 2 = 18

3 is false.

4:

Solve 4(4) + 2 = 18

4 is true.

Correct answer is 4.

Answer:

D.11 in

Step-by-step explanation:

isosceles triangles have two congruent sides

The missing side length is congruent with the longer side ( this is pretty obvious )

If the longer side has a length of 11in and the missing side is congruent to the longer side then the missing side length equals 11 in

Answer:

See below ~

Step-by-step explanation:

Question 1

2/3 _ 7/12

Question 2

5/8 _ 3/6

#1

The sign should be

#2

So

Answer:

48, 55, 73

Step-by-step explanation:

A Pythagorean triple are integers that can be entered in the Pythagorean theorem and be true

A common example is 3, 4, 5 because

[tex]3^{2} +4^{2} =5^{2}[/tex]

So here, you want to plug in the 8 for the x in the equation and 3 for the y

Then, what you are looking for is when the equation looks like

[tex]a^{2} + b^{2} = c^{2}[/tex]

So:

[tex](8^{2}+3^{2})^{2} = (8^{2} - 3^{2})^{2} + (2(8)(3))^{2}[/tex]

Simplify:

[tex]73^{2} = 55^{2} + 48^{2}[/tex]

We can see that the numbers in here follow the pythagorean theorem, where c = 73, b = 55, and a = 48

So the triple is 48, 55, and 73

Answer:

48,55,73

Step-by-step explanation:

Answer:

A.11

Step-by-step explanation:

5×5+6-4*（2+3）=25+6-4*5=11

Answer:

x=4

y=3

Step-by-step explanation:

substitute into one of the equations

9x+17=x+49

x=4

y=4+49

y=53

Answer:

well if it's 8 on bottom that means it has to be 8 on top and the right side add these together and you have perimeter

Answer:

[tex]y = - 5x + 17[/tex]

Step-by-step explanation:

[tex]i n \: slope \: intercept \: form \: y = mx + c \\ for \: the \: \: liear \: equaton = 5x + y = 17 \\ y = - 5x + 17[/tex]

Answer:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]

Step-by-step explanation:

Replace the questions marks with letters:

[tex]\dfrac{12x^{a}-18x^8+bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

[tex]\textsf{Apply the fraction rule}\quad \dfrac{a+b+c}{d}=\dfrac{a}{d}+\dfrac{b}{d}+\dfrac{c}{d}[/tex]

[tex]\implies \dfrac{12x^{a}}{cx^d}-\dfrac{18x^8}{cx^d}+\dfrac{bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

Taking the second term and calculating the coefficient of the denominator:

[tex]\implies -\dfrac{18x^8}{cx^d}=3x^f[/tex]

[tex]\implies \dfrac{-18}{c}=3[/tex]

[tex]\implies c=\dfrac{-18}{3}=-6[/tex]

Taking the first term, substituting the found coefficient of the denominator and calculating the coefficient e:

[tex]\implies \dfrac{12x^{a}}{cx^d}=\dfrac{12x^{a}}{-6x^d}=ex^{11}[/tex]

[tex]\implies e=\dfrac{12}{-6}=-2[/tex]

Taking the third term, substituting the found coefficient of the denominator, and calculating the coefficient of the numerator and the exponent:

[tex]\implies \dfrac{bx^6}{cx^d}=\dfrac{bx^6}{-6x^d}=7x[/tex]

[tex]\implies 6-d=1\implies d=5[/tex]

[tex]\implies \dfrac{b}{-6}=7 \implies b=-42[/tex]

Taking the first term, substituting the found coefficient and exponent of the denominator and the found coefficient e, and calculating the exponent of the numerator::

[tex]\implies \dfrac{12x^{a}}{cx^d}=ex^{11}[/tex]

[tex]\implies \dfrac{12x^{a}}{-6x^5}=-2x^{11}[/tex]

[tex]\implies a-5=11 \implies a=16[/tex]

Taking the second term, substituting the found coefficient and exponent of the denominator, and calculating the exponent f:

[tex]\implies -\dfrac{18x^8}{cx^d}=-\dfrac{18x^8}{-6x^5}=3x^f[/tex]

[tex]\implies f=8-5=3[/tex]

Substituting all found letters:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]