.
What is y + 3 = 7(2 – 2) written in standard form?

Answer:

first option

Step-by-step explanation:

Given

[tex]\frac{15}{x}[/tex] + 6 = [tex]\frac{9}{x^2}[/tex]

Multiply through by x² to clear the fractions

15x + 6x² = 9 ( subtract 9 from both sides )

6x² + 15x - 9 = 0 ( divide through by 3 )

2x² + 5x - 3 = 0 ← in standard form

Consider the factors of the product of the coefficient of x² and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 3 = - 6 and sum = + 5

The factors are + 6 and - 1

Use these factors to slit the x- term

2x² + 6x - x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x + 3) - 1(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(2x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5

Solution set is { - 3, 0.5 }

Answer:

Step-by-step explanation:

Given the total God diva chocolate contained in a box to be equal to 52 identical chocolates.

If 31 have caramel filling, the amount of walnut filling will be 52-31 = 21. This means 21 remaining chocolate will contain walnuts.

Probability = expected number of outcomes/total outcome

If we are to find the probability that the chocolate chosen at random contains walnuts, then our expected outcome will be 21 and the total outcome will be total God diva chocolate contained in the box  which is 52.

The probability that the chocolate chosen at random contains walnuts = 21/52

Answer:

48

Step-by-step explanation:

We have that the volume of a cylinder is given by:

 V = pi * (r ^ 2) * h

In this case we know the diameter, we know that the radius is half the diameter like this:

r = d / 2

r = 8/2

r = 4

Now we know that the V equals 768 pi

we replace and we have:

768 * pi = pi * (4 ^ 2) * h

768 = 16 * h

h = 768/16

h = 48

Therefore the value of x would be 48 cm

Answer:

Step-by-step explanation: to answer this question I need to know what 1 inch to a mile is. like    every one inch= 12 miles

Answer:

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]

Calculate the difference

[tex] = \frac{ - 4}{2 - (2)} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 4}{2 + 2} [/tex]

Add the numbers

[tex] = \frac{ - 4}{4} [/tex]

Any expression divided by its opposite equals -1

[tex] = - 1[/tex]

Hope this helps..

Best regards!!

Answer:

Step-by-step explanation:

5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180

Answer:

no, the values would be above 180º

Step-by-step explanation:

if...

(4x - 9) + (2x + 3) + y = 180

(5x + 30) + y = 180

then...

(4x - 9) + (2x + 3) = 5x + 30

so...

6x - 6 = 5x + 30

x = 36

plug it in.

4(36) - 9 = 135

2(36) + 3 = 75

already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.

Answer:

7+n

Step-by-step explanation:

More indicates that we are adding an amount to n.

So since it is 7 more, we need to add 7 to n.

Note that an expression does not include an equal sign, so we are done.

Other commonly seen phrases are:

less than ->  indicates subtraction

product of -> indicates multiplication

divided by -> division

Answer:

[tex]2\sqrt{2} +2\sqrt{5}[/tex]

Step-by-step explanation:

i just got this one right

the kite has two pairs of congruent sides. using the distance formula, the two shorter sides=[tex]\sqrt{2}[/tex] (since there are two of those length sides, you multiply it by two). Again with the distance formula, the two longer sides=[tex]\sqrt{5}[/tex] (also multiply this by two).this gives the answer c or [tex]2\sqrt{2}+2\sqrt{5}[/tex]

Answer:

The answer is c [tex]\sqrt[2]{2}[/tex] + [tex]\sqrt[2]{5}[/tex] units. just took the test

Step-by-step explanation:

Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

Answer:

Misty is the more consistent employee

Step-by-step explanation:

The given data are

Misty: 11, 13, 12, 14, 10, 16, 14

Brock: 8, 15, 10, 11, 16, 10, 9

The mean of Misty's successfully answered questions = ∑x/n = 90/7 = 12.86

Misty's data standard deviation = √(∑(x - μ)²/n) = 1.884

The mean of Brock's successfully answered questions = ∑x/n = 79/7 = 11.29

Brock's data  standard deviation = √(∑(x - μ)²/n) = 2.81

Therefore, based on the value of the standard deviation which is a measure of variability, whereby the standard deviation of Brock's number of successfully answered questions is larger than the standard deviation of Misty's number of tech supported successfully answered questions, Misty is the more consistent employee.

Answer:

B

Step-by-step explanation:

A coin has two sides so there is a 50% chance of getting heads or tails.

Answer:

a) 1/4

b) 3/4

c) 1/4

Step-by-step explanation:

Possible outcomes of two tosses of a coin:

HH

HT

TH

TT

There is a total of 4 possible outcomes.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

a) 2 heads

HH     <-------  1 desired outcome

HT

TH

TT

p(2 heads) = 1/4

b) at least 1 head

HH   \  

HT      }     <------ 3 desired outcomes

TH    /

TT

p(at least 1 head) = 3/4

c) no heads

HH

HT

TH

TT    <------- 1 desired outcome

p(no heads) = 1/4

Answer:

Inclusive means that we'll use the signs ≤ and ≥. Let's call the variable in our inequality as x. Therefore, the answer is -5 ≤ x ≤ -1.

Answer:

7

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2.

We were given 49pi. This means that 49=r^2.

The square root of 49 is 7.

So our radius is 7.

Hope this helps! <3

Answer:

The answer is below

Step-by-step explanation:

AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4

In a parallelogram, consecutive angles are supplementary and opposite sides are equal.

Therefore for parallelogram ABCD, AB = CD, CB = AD

Since AD = CB (opposite sides of a parallelogram are equal):

x + 8 = 5y + 4

5y - x = 8 - 4

5y - x = 4             (1)

∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:

16 - x + 2y + 13 = 180

2y - x + 29 = 180

2y - x = 180 -29

2y - x = 151             (2)

To find x and y, subtract equation 1 from equation 2:

3y = -147

y = -49

Put y = -49 in equation 2

2(-49) - x = 151

x = -98 - 151

x = -249

Answer:

21x³y^4

Step-by-step explanation:

7xy(3x^2y^3)=

21x³y^4

Answer:

21x^3y^4

Step-by-step explanation:

Multiply each term:

21x^3y^4

Plz mark me brainliest!!

Answer:

Step-by-step explanation:

34+23F=175

23F=175-34=141

F=141/23≈6.13

so he buys more 7 bags

Using proportions, it is found that Sergei needs to buy 7 bags.

-----------

1 bag - 23 kilograms

x bags - 141 kilograms

Applying cross multiplication:

[tex]23x = 141[/tex]

[tex]x = \frac{141}{23}[/tex]

[tex]x = 6.1[/tex]

Rounding up, he needs to buy 7 bags.

A similar problem is given at https://brainly.com/question/23536327

Answer:

[tex]\displaystyle \sin \theta = \frac{4}{5}[/tex] if [tex]\displaystyle \cos\theta = -\frac{3}{5}[/tex] and [tex]\theta[/tex] is in the second quadrant.

Step-by-step explanation:

By the Pythagorean Trigonometric Identity:

[tex]\left(\sin \theta\right)^2 + \left(\cos\theta)^2 = 1[/tex] for all real [tex]\theta[/tex] values.

In this question:

[tex]\displaystyle \left(\cos\theta\right)^2 = \left(-\frac{3}{5}\right)^2 = \frac{9}{25}[/tex].

Therefore:

[tex]\begin{aligned} \left(\sin\theta\right)^2 &= 1 -\left(\cos\theta\right)^2 \\ &= 1 - \left(\frac{3}{5}\right)^2 = \frac{16}{25}\end{aligned}[/tex].

Note, that depending on [tex]\theta[/tex], the sign [tex]\sin \theta[/tex] can either be positive or negative. The sine of any angles above the [tex]x[/tex] axis should be positive. That region includes the first quadrant, the positive [tex]y[/tex]-axis, and the second quadrant.

According to this question, the [tex]\theta[/tex] here is in the second quadrant of the cartesian plane, which is indeed above the [tex]x[/tex]-axis. As a result, the sine of this

It was already found (using the Pythagorean Trigonometric Identity) that:

[tex]\displaystyle \left(\sin\theta\right)^2 = \frac{16}{25}[/tex].

Take the positive square root of both sides to find the value of [tex]\sin \theta[/tex]:

[tex]\displaystyle \sin\theta =\sqrt{\frac{16}{25}} = \frac{4}{5}[/tex].

Answer:

[tex]f(x) = (x+1)^2 +2[/tex]

Step-by-step explanation:

Well you complete the square and get,

[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]

Then you use the binomial formula to get,

(x + 1)^2 + 2

Thus,

f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.

Hope this helps :)

Answer:

Step-by-step explanation:

                +2d+30    +2d+30

                    ÷(-15)      ÷(-15)

my mistake it's actually d= -30/19 sometimes I forget you put them in fractions

Answer:

83

Step-by-step explanation:

You're given two vertical angles, and vertical angles are congruent. This means that (6x - 7) = (4x + 23); x = 15. Plug it into ABC (which is (6x - 7)) to get 6(15) - 7 = 90 - 7 = 83

Answer:

y = - 49

Step-by-step explanation:

Given

7x - 2y = 35 ← substitute x = - 9 into the equation

7(- 9) - 2y = 35, that is

- 63 - 2y = 35 ( add 63 to both sides )

- 2y = 98 ( divide both sides by - 2 )

y = - 49

Answer:

[tex]\boxed{y = -49}[/tex]

Step-by-step explanation:

=> [tex]7x-2y = 25[/tex]

Given that x = -9

=> [tex]7(-9)-2y = 35[/tex]

=> [tex]-63 -2y = 35[/tex]

Adding 63 to both sides

=> [tex]-2y = 35+63[/tex]

=> [tex]-2y = 98[/tex]

Dividing both sides by -2

=> [tex]y = 98/-2[/tex]

=> [tex]y = -49[/tex]

Answer:

What is the question

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

I did the test, also, take the people multiply by score, u get 66 total, divided by 19=number of students, is 3.5-ish

The mean for gymnastic score is, 3.5

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown in table.

Now, We get;

The mean for gymnastic score is,

= ((1×0)+(1×1)+(2×2)+(6×3)+(4×4)+(3×5)+(2×6)) / 19

= 3.47

= 3.5

Thus, The mean for gymnastic score is, 3.5

Learn more about the addition visit:

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Answer:

158.73 yd

Step-by-step explanation:

A picture of the situation is needed, investigating I could find a related one, in the same way the important thing is the solution, the data can be exchanged. I attach the drawing.

Let use the formula of the law of cosine:

c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos C, to solve the problem

Let the third side be c, we replace:

c ^ 2 = 375 ^ 2 + 240 ^ 2 - 2 * 375 * 240 * cos 16 °

c ^ 2 = 198225 - 173027.10

c ^ 2 = 25197.9

c = 158.73

So the distance is 158.73 yd

Answer: the right answer is 195.4

Step-by-step explanation: this guy does not what's happening

Answer:

The answer is

Step-by-step explanation:

If 2cm is 8 feet on the drawing then since 4 is the double of 8,

16 would be the width

8·2=16

For the length, 4 is two less than 6 so, to find the width,

Add 16+2=18

Therefore,

The answer is C.

Length=18 Width=16

Answer:

Length = 24 ft, width = 16 ft

Step-by-step explanation:

The scale is 2 cm (drawing) = 8 ft (real).

The drawing length is 6 cm.

6 cm is 3 times 2 cm

Multiply both sides of the scale by 3.

3 * 2 cm = 3 * 8 ft

6 cm = 24 ft

The real length is 24 ft.

The drawing width is 4 cm.

4 cm is 2 times 2 cm

Multiply both sides of the scale by 2.

2 * 2 cm = 2 * 8 ft

4 cm = 16 ft

The real width is 16 ft.

Answer:

Length = 24 ft, width = 16 ft

Answer:

Equation:-  [tex]x + y = 38.50[/tex]

Solution of x:-  [tex]x = 38.50 - y[/tex]

Step-by-step explanation:

Given

Total Purchase = $38.50

Required

Determine the equation for finding the cost of a bear

From the question; we understand that the cost of 1 bear is represented with x

Solving further; by representing the cost of 1 football uniform with y

So;

[tex]1\ bear + 1\ uniform = 38.50[/tex]

Substitute x for 1 bear and y for 1 uniform to give us an equation

[tex]x + y = 38.50[/tex]

Solving for x (Subtract y from both sides)

[tex]x +y - y = 38.50 - y[/tex]

[tex]x = 38.50 - y[/tex]

The equation can't be solved further

a+b+c=68

b-3=a

c-5=b

now just solve the system of equations, substitue so that there are only b's in the equation:

a+b+c=68

(b-3) + b + (b+5) = 68

3b=66

b=22

Therefore Barbara is 22

The required age of barbar is 22 years.

Alice, Barbara, and Carol are sisters. Alice is 3 years younger than Barbara, and Barbara is 5 years younger than Carol. Together the sisters are 68 years old.  How old is Barbara to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Let the age of Alice, Barbara and Carol are a, b and c.

Age Alice is 3 years younger than Barbara,

a = b - 3     - - - -(1)

Age Barbara is 5 years younger than Carol

b = c - 5

c = b + 5     - - - -(2)

Together the sisters are 68 years old i.e.

a + b +c =68

From equation 1 and 2

b - 3 + b + b +5 = 68

3b + 2 = 68

3b = 66

b  = 33

Thus, the required age of barbar is 22 years.

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Answer        

6B+7X-9Y+19

Step-by-step explanation:

Answer:

1131 cubic inches.

Step-by-step explanation:

The front side of the figure contains a rectangle and a semicircle.

Area of rectangle is

[tex]A_1=length\times breadth[/tex]

[tex]A_1=11\times 12[/tex]

[tex]A_1=132\text{ in}^2[/tex]

Radius of semicircle is

[tex]r=17-11=6\text{ in}[/tex]

Area of semicircle is

[tex]A_2=\dfrac{1}{2}\pi r^2[/tex]

[tex]A_2=\dfrac{1}{2}\pi (6)^2[/tex]

[tex]A_2\approx 56.55[/tex]

Area of front side is

[tex]A=A_1+A_2=132+56.55=188.55\text{ in}^2[/tex]

Let front side is the base of prism and height is 6 in. So, volume of given figure is

[tex]V=\text{Base area}\times height[/tex]

[tex]V=188.55\times 6[/tex]

[tex]V=1131.3[/tex]

[tex]V\approx 1131\text{ in}^3[/tex]

Therefore, the required volume is 1131 cubic inches.