Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?

Answer:

A) x = 2.5

B) x = 7/3

Step-by-step explanation:

A) 4x - 1/2 = x + 7

4x - x = 7 + 1/2

3x = 7.5

x = 7.5/3

x = 2.5

B) 3x + 2 = 2x + 13/3

x +2 = 13/3

x = 13/3 - 6/3

x = 7/3

I hope this helps!

Answer:

p = 2a-22

a= p-20

these will help you find the actual value

Step-by-step explanation:

this is not for the actual value

pierre = p

alex = a

p = a+20

p-20 = a

p+22 = 2a

p = 2a-22

Answer:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.

Step-by-step explanation:

hope it helps, God bless!

Answer:

1

Step-by-step explanation:

It has 1 lines of symmetry

Hopes this helps

#ViolentJax

Answer: 176 cubic cm

Step-by-step explanation:

Formula for finding volume is l x w x h

The first rectangle on the bottom:

2 x 2 x 8 = 32

The second rectangle next to it:

3 x 6 x 8 = 144

Now add the two values to get the volume of the figure

144 + 32= 176

we should find perimeter.

45+40+50=135m.

then, we should multiply 135 and rate of per meter.

135×60=8100Rs.

820 miles

how far the airplane can travel in an hour.

x= v × t

x= 820 × 1

x= 820 miles

so, the airplane can travel 820 miles per hour.

Answer: Angle A = 120 degrees.

Step-by-step explanation:

Answer:

50 degrees sorry if wrong

Step-by-step explanation:

Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

Answer:

Square Root of 162 ~ 12.727

Step-by-step explanation:

Simply do the Pythagorean Theorem!

a^2 + b^2 = c^2

This case we're solving for the long side which is the hypothenuse.

9^2+9^2= c^

81+81=c^

162=c^

Square root of 162

Which is 12.727

We know that 2+2 is 4.

34 - 4 is 30.

Therefore, the legnth, a, is half of thirty.

30/2 = 15

a = 15

[tex]\bf a= 15\;\; millimetetrs[/tex]

Step-by-step explanation:

perimeter: 34 millimetetrs

perimeter= [tex]\tt a+2+a+2=34[/tex]

[tex]\tt 2a+4=34[/tex]

[tex]\tt 2a+4-4=34-4[/tex] (Subtract 4 from both sides)

[tex]\tt 2a=30[/tex] (Simplify)

[tex]\tt \cfrac{2a}{2}=\cfrac{30}{2}[/tex] (Divide both sides by 2)

[tex]\tt a=15[/tex]

Therefore, a= 15 millimetetrs.

~

Answer:

12. Octagon, Regular

13. Triangle, Regular

14. Rectangle, Irregular

15. Pentagon, Irregular

Step-by-step explanation:

Irregular vs. regular boils down to whether the sides and angles of the figure are all equal. In figures 14 and 15, the sides are clearly not all the same length, so they are irregular.

Answer:

6,264

Step-by-step explanation:

Answer:

6264

Step-by-step explanation:

72 x 8 = 576

576 x 10 = 5760

72 x 7 = 504

5760 + 504

6264

Step-by-step explanation:

[tex] \tan(2x) = 1.5[/tex]

Take the arc tangent,

[tex] \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) [/tex]

[tex]2x = 56.3[/tex]

[tex]x = 28.15[/tex]

b.

[tex](3 \cos(x) + 1)(2 \cos(x) + 3) = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0[/tex]

[tex]6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0[/tex]

[tex](6 \cos(x) + 5)( \cos(x) + 1) = 0[/tex]

Set each factor equal to zero.

[tex]6 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) = - 5[/tex]

[tex] \cos(x) = - \frac{5}{6} [/tex]

[tex]x = \cos {}^{ - 1} ( \frac{5}{6} ) [/tex]

[tex]x = 146.4[/tex]

For the second factor,

[tex] \cos(x) + 1 = 0[/tex]

[tex] \cos(x) = - 1[/tex]

[tex]x = 180[/tex]

So the answer for the second one is

146.4 and 180.

Shannon mistakenly mixed up angles A and B. Notice the side 9 is opposite angle B and not angle A.

She should replace every copy of uppercase A with uppercase B. Also, she should replace lowercase 'a' with lowercase b

This is what her steps should look like

[tex]\frac{\sin B}{b} = \frac{\sin C}{c}\\\\\frac{\sin B}{9} = \frac{\sin 125^{\circ}}{12}\\\\B= \sin^{-1}\left(\frac{9*\sin 125^{\circ}}{12}\right) \approx 37.9^{\circ}\\\\[/tex]

Then we can find angle A like this

[tex]A+B+C = 180\\\\A = 180 - B - C\\\\A \approx 180 - 37.9 - 125\\\\A \approx 17.1^{\circ}\\\\[/tex]

Angle A is approximately 17.1 degrees.

Answer:

i cant really tell because there is no real explannation

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If two secants are drawn from a point outside a circle, then product of one secant segment and its external part equal the product of the other secant segment and its external part.

(Secant-Secant Power Theorem)

(JG)(JH) = (JM)(JK)

(16) X (7) = (8+X)(8)

112=64+8X

8X=48

X=6

two correct answers :

x = -2c

or

x = -2b - 2c

Answer:

c

Step-by-step explanation:

the number(1) with the place value hundreth has nothing after it so it stays the same

Answer:

I believe the answer would be 717. Correct me if I'm wrong but that is what I believe the answer is.

Step-by-step explanation:

Since the answer is talking about hundredth, you would look at the decimal.

The decimal states that its .51, which means it could not be 716, since the decimal is less than 50, so your answer SHOULD be B). 717

Answer:

A. 840 miles

B. 14 miles per gallon

Step-by-step explanation:

A. 14 mi. per gal. x 60 = 840 miles

B. 350 mi./25 gal. = 14 miles per gallon

hope this helps :)

1. The truck can travel 840 miles on 60 gallons of gas.

2. The truck's gas mileage is 14 miles per gallon.

Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.

a)  We have, 25 gallons of gas corresponds to 350 miles.

Let's set up the proportion:

25/350 = 60/x

25x = 350 (60)

25x = 21,000

x = 21,000 / 25

x = 840

Therefore, the truck can travel 840 miles on 60 gallons of gas.

b) The truck can travel 350 miles on 25 gallons of gas.

Gas mileage = Distance / Gas consumed

Gas mileage = 350 miles / 25 gallons

Gas mileage = 14 miles per gallon

Therefore, the truck's gas mileage is 14 miles per gallon.

Learn more about Proportion here:

https://brainly.com/question/26974513

#SPJ2

Answer:

Each instalment = £27.45

Step-by-step explanation:

Given:

Remaining balance to be paid = Price of work trolley - deposit

                                                   = £59.90 - £5

                                                   = £54.90

If the remaining balance is to be paid in 2 instalments:

Cost of each instalment = remaining balance ÷ 2

                                        = £54.90 ÷ 2

                                        = £27.45

Answer:

The answer is D.

Step-by-step explanation:

Find the boundary line, and then just shade the area.

y < 1/2x + 2

Answer:

d

Step-by-step explanation:

2023

Answer:

4

Step-by-step explanation:

smart

Answer: umm what did you say?

Step-by-step explanation:

Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

109.36 to nearest hundredth

A= pi x r x r

= pi x 5.9 x 5.9

= 109.3588....

Hope this helps!