question 8b , thanks

Answer:

10.61

Step-by-step explanation:

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

Answer:

5=1

4=5

i don't really know for the third one sorry but it's more than 11

Step-by-step explanation:

Answer:

y = 3/4x +7/2

Step-by-step explanation:

slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value

x difference /y difference = 3/4 = slope

y = 3/4x

to find y-intercept, add a variable

y = 3/4x + B

then add the first x and y value point numbers into equation

0 = 3/4(4) + B

-3 = B

put back B into equation.

y = 3/4x - 3 which is the linear path the biker is going

now you can use another variable to find the new bike path

y = 3/4x + A

plug in the x value 2 and y value 5 from (2,5)

5 = 3/2 + A

A = 7/2

there-fore the new line which is parallel to the old line is:

y = 3/4x +7/2

Answer:

-3/2

Step-by-step explanation:

To find the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

   = (-48- -24)/(19 -3)

   = (-48+24)/(19-3)

   = -24/16

   = -3/2

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope of a line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)[/tex]

Substitute into slope formula:

[tex]m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}[/tex]

Answer:

A. 15s < 200

Step-by-step explanation:

Which inequality represents how many pairs of shorts, s, the coach can buy?

A. 15s < 200

B.15s > 200

C. 15s <(with line under)200

D 15s >(with line under)200

Let

s = cost of eat short

Number of students (Short) = 15

Less than (<)

The inequality:

Number of short * cost of each short < $200

15 * s < 200

15s < 200

s < 200/15

s < $13.333333333333

Answer:A. 15s < 200

Step-by-step explanation:A. 15s < 200

Answer:

11: 12

Step-by-step explanation:

Let the number of oranges and pears Mr Lynch have initially be x and p respectively.

x -10= ½p

2(x -10)= p

p= 2x -20 -----(1)

Since Mr Lynch did not give any pears away, the number of pears at the end is the initial number of pears.

p= 24

Substitute p= 24 into (1):

2x -20= 24

2x= 24 +20 (+20 on both sides)

2x= 44

x= 44 ÷2

x= 22

[tex] \frac{x}{p} = \frac{22}{24} [/tex]

[tex] \frac{x}{p} = \frac{11}{12} [/tex]

Thus the ratio of orange to pears in the beginning is 11: 12.

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

[tex]h \: = 24d[/tex]

Answer:

A = 16 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )

Then b = 4 and h = 4 , so

A = 4 × 4 = 16 units²

Answer:

sdfghjkl

Step-by-step explanation:

Answer:

[tex]5 \sqrt{2} [/tex]

Answer:

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Answer: ∠TRS and ∠VRW  (Choice B)

========================================================

Explanation:

Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.

Notice how lines TW and SV intersect to form an X shape.

The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.

Answer:

B ∠TRS and ∠VRW

Step-by-step explanation:

Answer:A(1,-5)

B(6,-8)

Step-by-step explanation:

Answer:

it would be line to zero slope that's all I can do for u pal maybe..

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

Answer:

y = 4

Step-by-step explanation:

[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]

Answer:

y = 4

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

y = 4

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

[tex]s^2+10s+25=s^2+895[/tex] and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

Answer:

Step-by-step explanation:

Let the number of apples given to his friends = x

To represent the number of apples Johnny has, subtract the apples given to his friends from 14

Number of apples with Johnny = 14 - x

Answer:

Step-by-step explanation:

x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:

[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get

[tex]x^2 =18225[/tex] so

x = [tex]\sqrt{18225}[/tex] and

x = 135

X=7

c is the answer:

[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]

Step-by-step explanation:

where the model step by step explanation

Answer:

Step-by-step explanation:

[tex]2 \sqrt{20} + 8 \sqrt{45} - \sqrt{80} [/tex]

[tex] = 2 \sqrt{2 \times 2 \times 5} + 8 \sqrt{3 \times 3 \times 5} - \sqrt{2 \times 2 \times 2 \times 2 \times 5} [/tex]

[tex] = 2(2 \sqrt{5} ) + 8(3 \sqrt{5} ) - (4 \sqrt{5} )[/tex]

[tex] = 4 \sqrt{5} + 24 \sqrt{5} - 4 \sqrt{5} [/tex]

[tex] = 24 \sqrt{5} (ans)[/tex]

Answer:

[tex]\huge\boxed{24\sqrt5}[/tex]

Step-by-step explanation:

[tex]2\sqrt{20}+8\sqrt{45}-\sqrt{80}\\\\=2\sqrt{4\cdot5}+8\sqrt{9\cdot5}-\sqrt{16\cdot5}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5\\\\\text{we know}\ a\sqrt{b}=a\cdot\sqrt{b},\ \text{and}\ \sqrt{a}=b\iff b^2=a\\\\\text{Therefore}\\ 2\sqrt{4}=2\cdot\sqrt4=2\cdot2=4\\8\sqrt9=8\cdot\sqrt9=8\cdot3=24\\\sqrt{16}\cdot\sqrt5=4\cdot\sqrt5=4\sqrt5\\\\\text{Therefore}[/tex]

[tex]=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5=4\sqrt5+24\sqrt5-4\sqrt5\\\\=(4+24-4)\sqrt5=24\sqrt5[/tex]

Step-by-step explanation:

Option D

As time increases, the temprature of soup decreases..

hope it helps

If die is rolled two times, find the probably of getting "1'twice.

[tex] {1}\{36} [/tex]

Feel fre e too ask me

Please understand it

#BrainliestBunch

x=30°

Answer:

Cos x°=adjacent/hypotenuse

Cos x°=45/52

x°=Cos-¹(45/52)

x°=30°

Answer:

Area= Base x height

Area= 7 x 12 inch

Area= [tex]84inch^{2}[/tex]

Brainliest please