Which expression means the same as “subtract 3 from 7 and then multiply by 4”

Answer:

oooooh Mathswatch.a=3/12  b=7/12

Step-by-step explanation:

a=You need to list all the probability out

There is a total of 24 possibility and 6 of them are the same colour. Simplify it, it becomes 3/12

b= see the photo. (sorry the photo wasn't too good, I am on a computer)

There are a total of 14 combination that has one red counter in it, simplify it, it is 7/12

A) The probability that the two counters will be the same colour is; ¼

B) Probability that exactly one of the counters will be red is; P(exactly one counter is red) = 7/12

We are told that he has 2 bags of counters;

First bag;

- 2 red counters

- 1 blue counter

Second bag;

- One red counter

- One blue counter

- two yellow counters

A) He takes a counter from both bags, probability that they will be same colour is;

RR or BB

Now, P(RR) = ⅔ × ¼ = 2/12

P(BB) = ⅓ × ¼ = 1/12

Thus;

P(both same colour) = 2/12 + 1/12

P(both same colour) = ¼

B) Probability that exactly one of the counters will be red;

The possible combinations in this way that have a red is 14.

Meanwhile total possible combinations is 24.

Thus;

P(exactly one counter is red) = 14/24

P(exactly one counter is red) = 7/12

Read more at; https://brainly.com/question/16601588

Answer:

Area of Shaded Region: 189 square centimeters

Step-by-step explanation:

~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~

1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = 135 cm^2

2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by   ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ 54 cm^2

3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ 189 cm^2

Area of Shaded Region: 189 square centimeters

Answer:

x = 96

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

(1/3)x - 4 (+4) = 28 (+4)

(1/3)x = 28 + 4

(1/3)x = 32

Next, multiply 3 to both sides:

(3)(1/3)x = (32)(3)

x = 32 * 3

x = 96

x = 96 is your answer.

~

Answer:

96=x

Step-by-step explanation:

Add 4 to each side

1/3x= 32

multiply 3 on each side to cancel out the fraction

x=96

Answer:

6 pi

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The diameter is 2 so the radius is 1/2 d = 1

V = pi (1)^2 * 6

V = 6 pi

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

Answer:

36 elves

Step-by-step explanation:

Using proportions

We have space for 30 more giants

30 giants     x elves

------------- = ----------

120  full      144 elves  full

Using cross products

30*144 = x*120

Divide each side by 120

30*144/120 = 120x/120

36 = x

We can have 36 elves

Answer:

12/5 cm^3

Step-by-step explanation:

When you try and figure out volume, you want to multiply all of the sides a shape in order to get it.

The formula for volume is L x W x H

Now let's substitute all of the units with it's corresponding numbers:

L=3

W=4/3

H=3/5

Then just multiply:

3*4/3 = 4

4*3/5=12/5

Then you get the answer 12/5 cm^3

Answer:

[tex]2 \frac{2}{5} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ = 3 \times \frac{4}{3} \times \frac{3}{5} \\ = \frac{36}{15} {cm}^{3} \\ = 2 \frac{6}{15} {cm}^{3} \\ = 2 \frac{2}{5} {cm}^{3} [/tex]

hope this helps

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Answer:

All real numbers

Step-by-step explanation:

The range is the possible output values

This is a line and the output goes from negative infinity to positive infinity

The range is all real numbers

Answer:

A

Step-by-step explanation:

Since it's a straight line, it extends from negative infinity to positive infinity

Answer:

Step-by-step explanation:

The solutions are

x=2,x=3

Explanation:

x2−5x+6=0

Here we can first factorise the expression and then find the solution:

Factorising by splitting middle term

x2−2x−3x+6=0x(x−2)−3(x−2)=0(x−2)(x−3)=0

Equating the two factors with zero to obtain solutions:

x−2=0,x=2x−3=0,x=3

Answer:

x + 5x + 6

x + 3x + 2x +6

x(1 + 3) + 2(x + 3)

(x + 3) (x+2) = 0

x = -3 (or) x = -2

Answer:

The volume would increase 8 times

Step-by-step explanation:

The volume of a cube is given by the following formula:

Volume = side^3

With a volume of 125 cm3, we have:

125 = side^3

Now, if we double the length of the side, we have that:

New volume = (2*side)^3

New volume = 8*side^3

New volume = 8 * 125 = 1000

So the ratio of the new volume over the old volume is:

New volume / Volume = 1000 / 125 = 8

So the volume increased 8 times.

Answer: 17.2

Step-by-step explanation:

You must use the law of sines, which says that sinA/a = sinB/b = sinC/c, where the side is the side across from the angle.

the length of side a = 16m, and the angle A = 25.

the length of side b = x, and the angle B = 27

1. sinA/a = sinB/b

2. sin25/16 = sin27/x

3. x(sin25)/16 = sin27

4. x = 16sin27/sin25

5. x = 17.2

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

Answer:

0.5

Step-by-step explanation:

Answer:

answer is 0.5 just got it right

Step-by-step explanation:

Answer:

4 - x / 9

Step-by-step explanation:

x should be by itself

Answer:

Step-by-step explanation:

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

You have to convert them so they have a common denominator

A common multiple of all these is 24

3/4 --> 18/24

5/12 --> 10/24

1/2 --> 12/24

1/4 --> 6/24

2/3 --> 16/24

Now you can easily compare the values

The correct order would be:

D B C E A

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Answer:

Order is DBCEA (1/4, 5/12, 1/2, 2/3, 3/4)

Step-by-step explanation:

Reason that is the order is if you make everthing have a common denominator of 12 you get:

A=9/12

B=5/12

C=6/12

D=3/12

E=8/12

If you rearrange and simplify again you get the order of DBCEA or 1/4, 5/12, 1/2, 2/3, 3/4

Answer:

The y intercept of Function A is greater than the y intercept of Function B.

Step-by-step explanation:

-3 is greater than -4.

Answer:

3/16 of an onion

Step-by-step explanation:

3/4 onion divided by 4

3/4÷4

Copy dot lip

3/4 * 1/4

3 /16 of an onion

Answer:

[tex] \frac{3}{16} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{4}{1} \\ \frac{3}{4} \times \frac{3}{4} \\ = \frac{3}{16} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

2,683.34

Step-by-step explanation:

A=p(1+r/n)^nt

P=A/(1+r/n)^nt

A=20,000

r=12.7%=0.127

t=15

n=12

P=?

P=20,000/(1+/0.127/12)^12.7*15

=20,000/(1+0.0106)^190.5

=20,000/(1.0106)^190.5

=20,000/7.4534

P=2,683.3391

Approximately

P=2,683.34

Answer:

1.056 seconds

Step-by-step explanation:

Solution:-

- When a ball is thrown vertically in air from a height of "so" from the ground at a velocity of " vo " it follows a parabolic trajectory. The ball undergoes its upward motion against gravity. Hence, it has negative acceleration of a = -g = -32 ft/s^2.

- When the balls reaches its maximum height in air, it starts its downward journey under the complete influence of gravity; hence, it accelerates with a = +g = 32 ft/s^2.

- The entire trajectory of the ball is governed by the constant acceleration "a" due to gravity and neglecting any other effects on the ball i.e air resistance.

- There are three kinematic equation of motion valid for any particle undergoing independent one dimensional motion with constant acceleration.

- For vertical trajectory the displacement "h" from the ground is given by the second kinematic equation of motion:

                  h - so = vo*t + 0.5*a*t^2

                  h = vo*t + 0.5*a*t^2 + so

Where the parameters are given as:

                so = 2 feet

                vo = 15 ft/s

                a = - 32 ft/s^2

Therefore we have:

                  h = 15*t + 0.5*(-32)*t^2 + 2

                  h = -16t^2 + 15t + 2

- To determine the amount of time the ball is in air the displacement is given by the distance from the ground. The journey starts when the ball is thrown from height "so" and ends when it strikes the ground; hence, at h = 0 ft.

                0 = -16t^2 + 15t + 2

                0 = 16t^2 -15t - 2

- Use the quadratic formula to solve for time "t":

               [tex]t = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a} \\\\at^2 + bt + c = 0[/tex]

- Plug in the respective constants:

                [tex]t = \frac{15+/-\sqrt{15^2 - 4*16*-2} }{32} \\\\ t = \frac{15+/-18.78829 }{32} \\\\t = 1.056 s[/tex]

- The total time for ball in air would be 1.056 seconds. ( Neglect the negative value of time )

Answer:

7

Step-by-step explanation:

just took the test on edg2020

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

In the given figure, AD=5x+3 and BC=38.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

In the parallelogram ABCD, AD=BC

So, 5x+3=38

⇒ 5x=35

⇒ x=7

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

Learn more about the parallelogram here:

https://brainly.com/question/19187448.

#SPJ6

Answer:

it is written in scientific notation

Answer:

Total Cost (T)=  .80a+1.25c

T= a+c

Step-by-step explanation:

This equation has 2 variables. It also has 2 equations

Step-by-step explanation:

"identity" means an operation that does nothing.

For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.

For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.

Answer:

Step-by-step explanation:

a₃=a-(3-1)d

=a-2d=3⇒equation 1

a₁₁=

=a-10d=11⇒eq 2

by elimination method

eq2-eq1

-8d=8d=-1

substituding in eq1 a=1

hope this helps

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Hey!!!

Here's your answer

-9*4=-36

So the right answer -36.

Hope it will help you

Good luck on your assignment

Answer:

-36

Step-by-step explanation:

-9*4 = -(9*4) = -36

Answer:

20 hours

Step-by-step explanation:

20x20

Answer: 20 hours

Step-by-step explanation:

Hour=60 min

20 cakes=60 min

400 ÷ 20 = 20 hours

Answer:

GDC

Step-by-step explanation:

Answer:

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Step-by-step explanation:

See below;

Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,

Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,

Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8

Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Answer:

A =13.5 yd^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 (4.5) ( 6)

A =13.5 yd^2

Answer:

22.5

Step-by-step explanation:

7.5ydx6yd

=45yd

45yd/2

=22.5yd^2

The answer is A it is correct.

Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.

Step-by-step explanation:

Answer:

$2195.80

Step-by-step explanation:

For a initial principal, P compounded with period k over n years at an annual interest rate, r, the amount (A(n)) at the end of n years is determined using the function:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

In the given case:

P=$1800

n=4 years

r=5%=0.05

Since it is compounded quarterly, Period, k=4

Therefore, the amount of money in the account after 4 years is:

[tex]A(n)=1800(1+\frac{0.05}{4})^{4*4}\\=1800(1+0.0125)^{16}\\=1800(1.0125)^{16}\\=\$2195.80[/tex]

After 4 years, there will be $2195.80 in the account.