Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?

Answer:

Step-by-step explanation:

P = 2b + a = 100

A = b * a

a = 100 - 2b

A = b(100 - 2b) = 100b - 2b^2

dA/db = 100 - 4b

100 - 4b = 0

b = 25

a = 50

#1

6pints=6(2)=12cups

1-D

#2.

16pints=

#3

8fluid ounces=1gallon.

3(C)

Answer: #1

1pint=2cups

6pints=6(2)=12cups

1-D

#2.

16pints=

16(2)=32cups=8quarts

#3

8fluid ounces=1gallon.

3(C)

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

[tex]\frac{BC}{sinA}=\frac{AB}{SinC}[/tex]

[tex]\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}[/tex]

[tex]BC[sin(68.4)] = 646 [sin(18.6)][/tex]

[tex]BC = \frac{646*sin(18.6)}{sin(68.4)}[/tex]

[tex]BC = \frac{646 * 0.3190}{0.9298}[/tex]

[tex]BC = 221.63[/tex]

[tex]BC = 222[/tex] meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

Step-by-step explanation:

sec X = WX/XY = 37/12 = 3 1/12

or 3.083

Answer: 23 cm

Step-by-step explanation:

Given

[tex]a=3.5\ cm\\b=9.4\ cm[/tex]

Triangle in the figure is right-angled triangle. Therefore, Pythagoras theorem can be applied. Suppose the unknow length of the triangle is x

[tex]\Rightarrow x^2=a^2+b^2\\\Rightarrow x^2=3.5^2+9.4^2\\\Rightarrow x^2=12.25+88.36\\\Rightarrow x^2=100.61\\\Rightarrow x=10.03\ cm[/tex]

The perimeter of triangle is the sum of the lengths of sides.

[tex]\text{Perimeter }P=3.5+9.4+10.03\\\Rightarrow P=22.93\ cm\approx 23\ cm[/tex]

Answer:

P(A or B) = 39%

Step-by-step explanation:

If A and B are mutually exclusive, they cannot occur at the same time, therefore their probabilities are added. This means P(A or B) = P(A) + P(B) = 23% + 16% = 39%

Answer:

A.r>3

Step-by-step explanation:

r-1+1 >2+1 [adding '1'on both side]

we add 1 on both side to cancel the - 1 from L.H.S.

so, r > 3

HOPE THIS HELPS YOU!

Answer:

How are you? 1

Step-by-step explanation:

Answer:

Dimitri's will have 3547.8 more than Briana

Step-by-step explanation:

but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps

Answer:

(B)

They intersect at (8, 1)

Answer:

(3,4) -> (8,3)

(-2,4) -> (3,3)

(-2,5) -> (3,4)

The triangle is translated 5 units to the right and 1 unit down.

Step-by-step explanation:

Add 5 to each x on the (x,y) coordinate and subtract 1 from each y.

Answer:

x + y = 4 ,  x − y = 2

x + 2 y = 4 ,  x − y = − 3

x 2 − y = 2 ,  2 x − y = − 1

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

x-8=2x-4

+8        +8

---------------

x=2x+4

-2   -2

-----------

-x=4

-1    -1

----------

x=-4

Answer:

C

Step-by-step explanation:

1. Absolute values are in the shape of a V, so the answer is automatically C.

2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.

Answer:

- 81, 8.54, 8 13/29, 8.6

Step-by-step explanation:

Answer:

22 cm long

eeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

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

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

Answer:

umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments

Step-by-step explanation:

have a good rest of your day tho :) ❤

Answer:

Two figures are similar if they have the same SHAPE but not necessarily the same size.

Given:

The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

[tex]V=(side)^3[/tex]

[tex]V=a^3[/tex]

It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex]  cubic meter.

[tex]a^3=\dfrac{1}{8}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{1}{2}[/tex]

Now, the perimeter of each face of a cube is:

[tex]P=4a[/tex]

Where, a is the side length of the cube.

Putting [tex]a=\dfrac{1}{2}[/tex], we get

[tex]P=4\times \dfrac{1}{2}[/tex]

[tex]P=2[/tex]

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

Answer: It's 2 meters

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]

We have:

[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]

Answer:

D) 10x - 24

Step-by-step explanation:

Bc I know maths a lot

Answer:

Step-by-step explanation:

"half of R" it is:   [tex]\dfrac R2[/tex]

"y cubed" it is:   [tex]y^3[/tex]

Therefore, half of R subtracted from y cubed is:  [tex]y^3-\dfrac R2[/tex]

Answer:

1. (7x+2)

2. 2 - 3x/4

Answer:

B & F

Step-by-step explanation:

(±√14 - 4)/3 =>

(√14 - 4)/3 or (-√14-4)/3

Answer:

c

Step-by-step explanation:

Answer:

your answer is option number C 9mm

Answer:

Refer to the attachment [tex]\Huge{\blue{\nearrow}}[/tex]

Step-by-step explanation:

[tex]\setlength{\unitlength}{1.1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(1,3){6.4}}\put(25,30){\line(1, - 3){6.4}}\put(20,7){\line(3,1){68.5}}\put(20,52.8){\line(3, - 1){68.5}}\put(25,30){\circle*{1}}\put(88,30){\circle*{1.2}}\put(22,30){\sf O}\put(31,6){\sf A}\put(31,52){\sf B}\put(90,28.5){\sf P}\multiput(25,30)(3,0){21}{\line(2,0){1.8}}\qbezier(81.5,32)(78,30)(81,27.5)\qbezier(76,30)(74.5,28)(76,26)\put(33,45){\line(1,3){1.1}}\put(30,45.8){\line(3, - 1){3.2}}\put(30.5,14){\line(3,1){3.2}}\put(33.5,15){\line(1, - 3){1.1}}\put(21,18){\sf 6 cm}\put(73,30.8){\sf 120^\circ$}\put(69,26){\sf 60^\circ$}\end{picture}[/tex]

View the ans from Web for complete diagram.

Answer:

I hate edge :l

Answer:

-4, 0, 3, 5

Step-by-step explanation:

The number line is being counted by ones. So when it's complete, it would be like this:

-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6

Hope this helps!!

Answer: -4, 0, 3, 5.

Step-by-step explanation: