What is the surface area of the composite solid? a rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. a rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters. 119 m2 146 m2 162 m2 174 m2

The equation represents 21 seats and 30 wheels will be given as B.

u + 2b = 30

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 21 seats and 30 wheels.

u is the number of unicycles and b is the number of bicycles.

There are total 21 seats

⇒  u+b=21

unicycle has 1 wheel and bicycle has 2 and total there are 30 wheels

⇒ u+2b=30

Hence,the equation represents 21 seats and 30 wheels will be given as B.  u + 2b = 30

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Answer:

A

Step-by-step explanation:

since the triangles are congruent , then corresponding sides are congruent

AC = OD

8x - 6 = 3x + 9 ( subtract 3x from both sides )

5x - 6 = 9 ( add 6 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.

The rate is equal to distance divided by time. For example,

Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.

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Answer:

C

Step-by-step explanation:

Answer:

15/56

Step-by-step explanation:

5 people have a license

3 people don't

? = Probability that first person has a license and second does not

We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.

P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.

P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.

P1 and P2 are dependent events, thus P(1,2) = P1 * P2.

P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56

The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.

Because it decreases in value until the minimum value, then it increases again.

After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.

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Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

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Answer: 24

Step-by-step explanation: 3*2*2*2=24

You can build 24 sundaes

Answer:

See below for answers and explanations (with attached graph)

Step-by-step explanation:

It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:

[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]

Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:

[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]

Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.

Answer:

30%, or 1/3

Step-by-step explanation:

If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.

Hope this helps! :)

Answer:

12/5 hours

Step-by-step explanation:

Let the total area to be painted be X

Let S be the rate at which Sally paints and J be the rate at which Joe paints

We have:
X/S = 4 hours (1)

X/J = 6 hours (2)

(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)

From (3) and (4)
J/S = 2/3 or J =2/3 × S

If they both paint at the same time time taken is

X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours

Answer:

252m^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).

we just plug in the values.

2(12 x 6) + 2(12 x 3) + 2(6 x 3)

= 2(72) + 2(36) + 2(18) then simplify

= 144 + 72 + 36

= 252

Answer:

hope this help you

Step-by-step explanation:

[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]

Answer:

0,9917

Step-by-step explanation:

3.2 - 1.09 = 2.11

2.11 multiplied by 0.47 = 0.9917

Answer:

5,790.0425

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

A regular hexagon consists of 3 main characteristics:

Answer: Here u go

Step-by-step explanation:

The graph that shows a dilation would show the reduction or enlargement of the original figure (see attachment).

Dilation is defined as a form of transformation where a figure is enlarged or reduced by scale factor. Simply put, a dilation is a process of resizing an original image.

The image containing the referenced graphs is missing. However, the image below shows what a dilation is.

Thus, the graph that shows a dilation would show an enlargement or reduction.

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Answer:

10 girls and 11 boys

Step-by-step explanation:

That is the answer!!

Answer:

There are 10 girls and 11 boys.

Step-by-step explanation:

Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.

Answer:

x = 117.8

Step-by-step explanation:

The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.

Taking the tan value of the listed angle :

tan 50° = x/99

1.19 = x/99

x = 1.19 × 99

x = 117.8 (nearest tenth)

Step-by-step explanation:

[tex] = 2(x + 3) + 3(x - 4)[/tex]

[tex] = 2x + 6 + 3x - 12[/tex]

[tex] = 2x + 3x + 6 - 12[/tex]

[tex] = 5x - 6[/tex]

...

Answer:

Step-by-step explanation:

Let h be the height of the door

and w be its width

The statement “The height of the door is I foot more than twice its width”

can be translated mathematically like this :  h = 2w + 1

Let’s solve the equation for w:

h = 2w + 1

⇔ 2w = h - 1

[tex]\Leftrightarrow w=\frac{h-1}{2}[/tex]

now , if the door is 7 feet high then it’s width is equal to :

[tex]\Rightarrow \frac{7-1}{2} =\frac{6}{2} =3 \ ft[/tex]

Answer:

3 feet

Step-by-step explanation:

It mentions that the height of the door is 1 foot more than twice its width.

The width of a door of height 7 feet will be :

Answer:

9p = 54

Step-by-step explanation:

19p = 10p + 54

Subtract 10p on both sides,

19p - 10p = 54

9p = 54

Step-by-step explanation:

my dear this is very very simple

you can definitely solve it by yourself.

just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.

19p = 10p + 54

so grouping like terms:

10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign

so we have,

19p -10p = 54

since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)

so we get:

9p = 54 ( 9 apples = 54)

option (A)

Hope this helps.

Ace that assignment.

Good luck ✅.

you're super free to ask any further questions okay.

Step-by-step explanation:

remember (always remember) : a probability is desired cases divided by total possible cases.

what is our total here ?

1388 students at this school

what are our desired cases here ?

every student, who bikes to the school : 207

so, the probability that a randomly picked student is biking to the school is

207/1388 = 0.149135447...

so, b. is the right answer.

please let me know what is not clear to you.

we solved now many probability questions together, but this is very, VERY basic, and you could not do it.

so, what is not "clicking" with you ? what do you need explained ?

Answer: B

Step-by-step explanation:

    This equation is in y = mx + b form, also known as slope-intercept form.

   First, we will look at the y-intercept. Our y-intercept is -3, so the line will hit the y-axis at -3. This rules options A and C as incorrect.

   Next, we will look to the slope. The slope is positive, 2 4/7, so the line will be going "up the stairs" from the bottom left to the top right. This rules out option D as incorrect, leaving us with our answer: B.

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Answer: 45,28,13

Step-by-step explanation:

Firstly let’s call integer 3

‘x’

Following the information given the following equations can be constructed:

integer 3 = x

integer 2 = 2+2x because 2x represents 2 times integer 3 (which is x) and plus two

integer 1 =3((2x+2)-x) what we have written is the difference between integer 2 (which was (2x+2)) and integer 3 which was x and simply multiply the result of that subtraction by 3

next we can treat them like their own variables almost.

integer 1 + integer 2 + integer 3 =86

so now plug in the equations we have constructed for each integer:

(3((2x+2)-x)) + (2x+2) + x = 86

to make it easier to read please see the image attached below to solve for x

After you have gone through the image I have included you should notice x= 13 great we got one integer! (Integer 3)

now plug in 13 into our integer equations :

integer 2: 2(13)+2= 28

Therefore integer 2 is 28

integer 1: 3((2(13)+2)-(13))=
3((28-13)

3(15)

45

Therefore integer 1 is 45.

and integer 3 is x which as we now know is equal to 13

Answer:

D

Step-by-step explanation:

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,

J-(2,2)

A-(4,4)

--

G-(-2,-2)

C-(-4,-4)

--

H-(4,4)

B-(8,8)

Answer:

true

Step-by-step explanation: