b) give reasons for your answer

Answer:

452.389342 cubic inches

Step-by-step explanation:

The volume of a sphere is calculated using the formula V = 4/3 pi r^3

to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.

from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.

Note that this is only the volume of 1 sphere, so we multiply by 4

and we get 452.389342 cubic inches

Answer:

452.4

Step-by-step explanation:

Radius of each sphere: 24/4/2=3

Formula for volume: (4pir^3)/3

Formula for 4 spheres: 4 times (4pir^3)/3

Substitute 3 for r

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

A = Thomas bumps into Madeline at school

B = Thomas call Madeline on the phone

X = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event U given that another events V has already occurred is:

[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]

The law of total probability states that:

[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]

         [tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]

Compute the value of P (B|X) as follows:

[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]

             [tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

Answer:

84%

Step-by-step explanation:

Its the correct answer

Answer:

i think 9.8 but im not sure

Step-by-step explanation:

The distance between points M and N is; 9.8 meters.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.

Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:

NM/19.6 = 7.4/(2×7.4)

Solving;

NM = 19.6/2

NM=  9.8 meters.

This follows that, the ratio of corresponding sides of congruent triangles are equal.

The distance between points M and N is; 9.8 meters.

Read more on congruent triangles;

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Answer:

AD :  DC is 2:3

Step-by-step explanation:

The parameters given are;

Point B ∈ AC

AB : BC = 2:1

Point D ∈ AB

AD : DB = 3:2

Therefore, whereby we sum the ratios, we have;

For AC

AB = 2/(2+1)×AC = 2/3×AC

BC = 1/3×AC

For AB

AD = 3/(3+2)×AB = 3/5×AB

DB = 2/5×AB

We are required to find AD:DC

Given that AD = 3/5×AB and AB =  2/3×AC

We have;

AD = 3/5×2/3×AC = 6/15 AC

DC = DB + BC =  2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC

DC = 3/5×AC

AD :  DC = 6/15 AC : 3/5×AC = 2:3.

Answer:

x=10

Step-by-step explanation:

set it up and solve

2x-1=x+9

2x=x+10

x=10

Answer:

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Step-by-step explanation:

[tex]12y^2-20y+3[/tex]

-20y can be written as -2y + -18y.

[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]

Factor out 2y from the first expression and factor out 3 from the second expression.

[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]

Factor out the common term 6y-1.

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Answer:

-4

Step-by-step explanation:

(4-2)^3 - 3*4

PEMDAS

P arentheses

(2)^3 - 3*4

E xponents

8 -3*4

MD  multiply and divide from left to right

8 - 12

AS add and subtract from left to right

-4

Answer:

-4

Step-by-step explanation:

When solving an expression, use PEMDAS!

4-2 = 2

2^3 (Cubed means to the 3rd) = 8

3 x 4

8-12 = -4

Answer:

Here is the answer ...... Check out it

Step-by-step explanation:

An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.

Hope it helps ☺️ CLICK on ♥️

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

Answer:

3/20

Step-by-step explanation:

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( green) = green/total = 5/10 = 1/2

Replace

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( red) = red/total = 3/10

P(green,replace, red) = 1/2 * 3/10 = 3/20

Answer: y = 6

Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.

Answer:

85.4054%

Step-by-step explanation:

3.16/3.7 × 100

Divide.

0.854054 × 100

Multiply.

= 85.4054

Answer:

500 mg

Step-by-step explanation:

amount of dextrose in  35 ounce Pedialyte = 2500 mg

dividing LHS and RHS by 35

amount of dextrose in  35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg

Thus,

amount of dextrose in  1 ounce Pedialyte = 500 /7 mg

since we have to find amount of dextrose in  7 ounce Pedialyte

we multiply LHS and RHS by 7

Thus,

amount of dextrose in  1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg

amount of dextrose in  7 ounce Pedialyte = 500 mg

Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.

Step-by-step explanation:

4unit is 35

1unit is 35/4 which is 8.75

Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

Answer:

0.4

Step-by-step explanation:

To decrease something by 60% you multiply by 0.4

Answer:

0.4

Step-by-step explanation:

Say you have an object that costs $100.

Now 60% of $100 is $60.

Subtract $60 from $100 and you get $40.

Now $100 × [tex]x[/tex] = $40

[tex]x=0.4[/tex]

$100×0.4=$40

You need to multiply it by 0.4

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]

Which gives;

[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]

The correct option is 10 m.

Answer:

-2x + 85 = 5x - 48

85 = 7x - 48

7x = 133

x = 19

BC = -2(19) + 85

BC = -38 + 85

therefore, BC = 47

Step-by-step explanation:

Answer:

5 hours and 50mins

Step-by-step explanation:

8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins

Hope this helps :)

Answer:

x=2, y=1

Step-by-step explanation:

4x+8y=16

4x-8y=0

Add the two equations together:

8x=16

Divide both sides by 8:

x=2

Plug this back into one of the original equations to find y:

4(2)-8y=0

8-8y=0

y=1

Hope this helps!

Answer:

x, y = (0, 0)

Step-by-step explanation:

photo math broo

Answer:

(3+2m)(3-2m)

Step-by-step explanation:

(3+2m)(3-2m)

Answer:

Brainliest? I solved both!

Step-by-step explanation:

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

Dividing both sides by 24

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

Now the area using Heron's Formula

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = [tex]\sqrt{48(48-24)(48-32)(48-40)}[/tex]

Area = [tex]\sqrt{48(24)(16)(8)}[/tex]

Area = [tex]\sqrt{147,456}[/tex]

Area = 384 cm²

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

Answer:

did u ever get hte answers for this ?

Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

Learn more about Scatter Plot:

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