Select the correct answer. Consider the following system of equations.

Considering the formulas for the area and the perimeter of the rectangle, the one with the desired measures is given as follows:

a length of 3 units and a width of 4 units.

Considering a rectangle of length l and width w, we have that:

For a rectangle with a length of 3 units and a width of 4 units, we have that:

Hence it is the correct option.

More can be learned about the area and the perimeter of a rectangle at https://brainly.com/question/10489198

#SPJ1

Answer:

A 2 19/64

Step-by-step explanation:

change the proper fractions into mixed fractions then remember to reciprocate the number at your right hand then calculate good day.

Answer:

12

Step-by-step explanation:

There are 175 students out of the 1,000 would you expect to prefer a silver car.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car.

Now, We have there are 14 students out of 80 prefer silver car for their first car.

Hence, By using proportion, we get;

⇒ 14/80 = x / 1000

⇒ 14 × 1000 / 80 = x

⇒ x = 175

Thus, There are 175 students out of the 1,000 would you expect to prefer a silver car.

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ1

Answer:

                     175

（￣︶￣）↗　

Step-by-step explanation:

The value of expression is -(x- 4y/3 + 5z/3)

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

1/3 · (-3x + 4y - 5z)

= 1/3(-3x) + 1/3 *4y + 1/3* (-5z)

= -x +4/3*y -5/3 *z

=-(x- 4y/3 + 5z/3)

Hence, 1/3 · (-3x + 4y - 5z)= -(x- 4y/3 + 5z/3)

Learn more about this concept here:

https://brainly.com/question/9655268

#SPJ1

Answer: y = 2x - 6

Step-by-step explanation:

   Let us turn the second given equation into slope-intercept form to match the first equation.

8x - 4y = 12

8x - 12 = 4y

4y = 8x - 12

y = 2x - 3

   Now, parallel lines have the same slope. This is the m value.

y = 2x - 3

   \/

y = mx - 6

y = 2x - 6

    Read more about your question here which includes parallel slopes:

         https://brainly.com/question/2406233

Answer:

multiply 1/2 by each element in the matrix

Step-by-step explanation:

6. 32

39 15

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:False [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: y + 15 = 30[/tex]

[ subtract 15 on both sides ]

[tex]\qquad \tt \rightarrow \: y + 15 - 15 = 30 - 15[/tex]

[tex]\qquad \tt \rightarrow \: y = 15[/tex]

Here, actual value of y is not the same as it is in statement, so the statement is wrong.

Answer: Relative frequency and probability are similar terms and the answer to both of them are the same. What I mean is that, even if the question asks for probability or relative frequency, the answer will remain the same. The basic difference is that relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.
We can write the probability in the help of a normal formula,

P(A) is the probability of an event “A” n(B) is the number of favorable outcomes. n(S) is the total number of events in the sample space.

One more thing you might need to know is that, in probability, and means multiplication and or means addition.
And = multiplication
Or = addtion

So from the above equation, n(S) , the total number " 10 + 7 + 3" is 20.

i) 2/20 and in simplified terms, 1/10
ii) 7/20 * 3/20 = 21/400
iii) 1/20
iv) 13/20

∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
    hope it helped
┗━━━━━━━┛

Answer:

A

Step-by-step explanation:multiply both sides by two, then subtract b and c from both sides to get a on the right side by itself

Answer:

О A      a = 2s - b - c

Step-by-step explanation:

S = (a+b+c)/2

2s = a + b +c

2s - b - c = a

The question was incomplete. Below you will find the missing image.

Only the Saki's triangle can be solved using law of cosines.

Law of cosines formula is used to find missing including angle or missing side.
It is used in SAS and SSS triangles.
If a, b & c are three sides and C be the vertices opposite to side c then,
c²=a²+b²-2ab×CosC
Here in the given image we see that,
In Anna's triangle, there is one side and one angle.
So, it is not possible to solve with law of cosines.
In Yuna's triangle, there are two angles and one side.
So, also it is not possible to solve with law of cosines.
In Carley's triangle, there are three angles.
Also in this case, law of cosines it not possible to use.
In Saki's triangle, there are three sides are given. So, it is a SSS triangle.
We can apply the law of cosines here in this triangle.

Learn more about law of cosines here :
https://brainly.com/question/4372174
#SPJ10

½×½ which will be ¼

Step-by-step explanation:

because

Probability that the starting player wins:

[tex]P_{n} =[/tex]  m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]

Let us say that the probability that the first player wins is [tex]P_{n}[/tex]. Then this can be happen in two ways:

If the first player wins in the first move which has a probability: m /n + m

If the first player wins after the second move which has a probability :

n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]

Therefore by the law of probability,

[tex]P_{n} =[/tex]  m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]

This will allow us to find out the probability of first player winning the game recursively.

Know more about probability,

https://brainly.com/question/31828911

#SPJ2

Answer:

f(a+2)=3a+11/a+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan 45=1

[tex]tan 2\alpha =\frac{2tan\alpha}{1-tan^2\alpha } \\put~\alpha =22.5\\2\alpha =2 \times 22.5=45\\tan~2\alpha =tan~45=1\\1=\frac{2tan \alpha }{1-tan^2\alpha} \\1-tan^2\alpha =2 tan\alpha \\ tan^2\alpha +2tan \alpha -1=0\\tan\alpha =\frac{-2 \pm\sqrt{4+4} }{2} \\=-1\pm\sqrt{2} \\\alpha =22.5\\so ~tan~\alpha ~is~positive.\\so ~tan~\alpha =\sqrt{2} -1[/tex]

Step-by-step explanation:

9.25( 18.4 - 2.12)

9 × 25 ( 18×4 - 2× 1.2) (multiply)

9.25 ( 72 - 2.4) ( calculate)

9×25×69.5 (calculate)

(answer) 1566

Answer:

9800 cm^2

Step-by-step explanation:

The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2

Answer:

[tex]\huge\boxed{\sf 38\%}[/tex]

Step-by-step explanation:

Total members = 500

Total percentage = 100%

Percentage of male members = 62%

= 100% - male members

= 100% - 62%

= 38%

[tex]\rule[225]{225}{2}[/tex]

Answer:

310 members or 38% are female

Step-by-step explanation:

100% - 62%male = 38% female

or (62 × 500) ÷ 100 = 310 females

Answer:The end of immigration quotas in the 1960s led to

a significant decrease in safe places for refugee immigrants.

a significant increase in discrimination against immigrants.

a significant increase in the number of Asian immigrants.

a significant decrease in the number of Asian immigrants.

Step-by-step explanation:

Answer:

A. Corresponding Angles

Step-by-step explanation:

1. ∠4 and ∠6 = 180°

2. ∠3 and ∠5 = 180°

3. So, ∠5 and ∠6 are the same angles.

Answer:

Step-by-step explanation:

Find the volume of the sample container.

Given:

Volume formula:

Substitute to get:

Find the volume of the trace element, using the given proportion:

1) Either [tex]\ell \parallel p[/tex] or [tex]\ell[/tex] ∦ [tex]p[/tex] (only two possibilities)

2) Assume [tex]\ell \parallel p[/tex] (one of two possibilities)

3) [tex]\angle 1 \cong \angle 2[/tex] (if two parallel lines are cut by a transversal, the corresponding angles are congruent)

4) But [tex]\angle 1[/tex] is not congruent to [tex]\angle 2[/tex] (given)

5) So [tex]\ell[/tex] ∦ [tex]p[/tex] (only other possibility)

The formula should he use willl be 3.14(2). Option B is correct.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

Given data;

Radius,r = 6 feet

Diameter,d=2

Circumfererenc,C

The circumferrence of the circle is;

C=πD

C= 3.14 × 2

The formula should he use willl be 3.14(2).

Hence, option B is correct.

To learn more about the area, refer to the link;

https://brainly.com/question/11952845

#SPJ1

The surface area of the composite figure is 714 sq. in.

Let, a be the edge of the cube.

Then, surface area of the cube = 6a² square unit

Let, length of the cuboid = l unit

Width of the cuboid = w unit

Height of the cuboid = h unit

Then, surface area of the cuboid = 2(lw+lh+hw) square unit

Given, edge of cube = 4 in.

∴ Surface area of cube = (6×4²) sq. in. = 96 sq. in.

Now, given, length of cuboid = 15 in.

Width of the cuboid = 10 in. & height of the cuboid = 7 in.

∴ Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.

                                                = 2{150+105+70} sq. in.

                                                = 2{325} sq. in. = 650 sq. in.

Here, we have to find the surface area of the composite figure.

We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.

So, we have to subtract 2(4×4) sq. in. = 32 sq. in.

∴ The surface area of the composite figure = (650+96-32) sq. in.

                                                                        = 714 sq. in.

Learn more about composite figure here :

https://brainly.com/question/27915109

#SPJ10

Answer:

1/3

Step-by-step explanation:

the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3

a) 26 teenagers are in the group.   21+3+2=26

b) 21 like to drink coffee or tea only.    (3 like both and 2 like neither, so 21 enjoy one or the other)

Answer:

missing side lengths are

leg 1 is 4√2

leg 2 is 4√2

hypotenuse is 8

Step-by-step explanation:

leg 1 is y

leg 2 is 4√2

45-45-90 right triangle means

legs are equal

the longest side is the hypotenuse which is

x

pythagorean theorem =

a² + b² = c²

a and b are the legs

c is hypotenuse

(4√2)² + (4√2)² = c²

4√2 = √16*2 = √32

(√32)² + (√32)² = c²

32 + 32 = c²

64 = c²

take the square root of both sides

√64 = √c²

8 = c

c = 8

Answer:

the value of x is 115

Step-by-step explanation:

hope I helped

please mark me as brainlyst