Given the equations below what is the value of ab?
10b-9a=6
b-a=1

Answer:

1.5*w^2 + 15*w + 36

Step-by-step explanation:

We have to make the width of the portrait be 'w'

 in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w

Frame width is 3 inches on all sides.

Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.

I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.

From the figure, we have to:

AB = 3 + w + 3 = w + 6

BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6

We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,

Area = (w + 6) * (1.5 * w + 6)

Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36

Area = 1.5*w^2 + 15*w + 36

That is, the expression for the framed portrait area in terms of the width 'w' is:

1.5*w^2 + 15*w + 36

Answer:

The product x time y is zero (0)

Step-by-step explanation:

Notice that you are given a system of two equations with two unknowns, so, let's proceed to find the unknowns by the method of substitution (easiest since it is very simple to find "y" in terms of 'x" from the second equation).

Then we use that expression to substitute for "y" in the first equation and solve for x:

[tex]6x=42+y\\y=6x-42\\Then:\\2x-9y=14\\can\,\,be\,\,written\,\,as:\\2x-9(6x-42)=14\\2x-54x+372=14\\-52x=-364\\x=(-364)/(-52)\\x=7[/tex]

Now we use this result in the substitution equation to find the value of "y":

[tex]y=6x-42\\y=6\,(7)-42\\y=42-42\\y=0[/tex]

Then, the product x times y is:   7 times 0 = 0

The product renders zero (0)

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

By solving a system of equations we will see that the correct option is A.

First, let's define the variables:

First, we know that 70 tickets were sold, so:

x + y = 70

And we know that they reached $804, then we have:

x*$10 + y*$12 = $804

Then our system is:

x + y = 70

x*$10 + y*$12 = $804

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:

x = 70 - y

Now we can replace that in the other equation to get:

(70 - y)*$10 + y*$12 = $804

$700 - y*$10 + y*$12 = $804

$700 + y*$2 = $804

y*$2 = $804 - $700 = $104

y = $104/$2 = 52

So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.

If you want to learn more about systems of equations, you can read:

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100% + 5% = 105 %

105/100 x 40$ = 42$

Answer:

hi the answer is 2$

Step-by-step explanation:

40 divided by 10 is 4 divided by 2 is 2

tell me if you need any more help please mark as brainliest

Answer:

not B

Step-by-step explanation:

I took the test

Answer: y = 3

Step-by-step explanation:

14/y - 2/3 = 4

14/y = 4 + 2/3

14y = 14/3

y = 3

Answer:

3

Step-by-step explanation:

"" = x^(0.5*(-2))*y^(-0.25*(-2))*z^(-2) = x^(-1)*y^(0.5)*z^(-2) =

(1/x^1)*y^(0.5)*(1/z^2) = 3

Answer:

Third one.

Step-by-step explanation:

The exponent negative 2 applies to all that's in the bracket. So, x^1/2 times exponent negative 2 equals x to the power negative one. And y to the power negative half and z to the power negative 2. Therefore, x^-1 = 1/x and y^1/2 remains same and z^-2 = 1/ z^2.

Answer:

40

Step-by-step explanation:

To find the maximum we need to find the vertex. We can do this by writing the equation in vertex notation by completing the square.

A(w) = -w(w - 80)

= -w² + 80w

= -(w² - 80w) = -(w - 40)² + 160

The vertex is then (40, 160) and since we are looking for the value of w it will be 40.

Answer:

137

Step-by-step explanation:

The degrees of the inscribed arc of 43 is 43 * 2 = 86

Since the total degrees in a circle is 360, x is equal to

(360-86)/2 = 137

Answer:

x = 137

Step-by-step explanation:

opposite angles are supplementary when they are in a quadrilateral inscribed in a circle

43+x = 180

Subtract 43 from each side

x =180-43

x=137

Answer:

Vertical asymptote x= 1

Horizontal asymptote y= -1

Step-by-step explanation:

Answer:

no asymptotes

Step-by-step explanation:

since y=-3x-1-1 is not a ratinal expression there are no asymptotes.

Description:

Formula:  length * width * height    (L*W*H)

volume of larger prism

vp=45/4 ft^3 =11.25

vs=1/2*1/2*1/2

vs=0.125 ft^3

n=vp/vs

n= 11.25/.125

n=90

Answer: 90 smaller cubes will completely fill in the prism

Please mark brainliest

Hope this helps.

Answer:

About 198.6 feet

Step-by-step explanation:

This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.

Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:

[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]

Now, let's do it for the upper part, which we'll call y:

[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]

Adding these together, you get a height of approximately 198.6 feet. Hope this helps!

Answer:

answer is 198.6

Step-by-step explanation:

Answer:

The number of sweets in the 10th bag is 53

Step-by-step explanation:

Given

Let the Number of sweets in a bag  be represented by x and frequency be represented by f

The table is as follows

x   F

39 1

40 2

41 5

42 0

43 1

Mean = 42

Required

How many sweets are in the 10th bag?​

Represent the number of sweets in the 10th bag by y;

The table becomes

x   F

39 1

40 2

41 5

42 0

43 1

y   1

The mean of observation is calculated using the following formula;

Mean = ∑fx/∑f

Where ∑ means summation

fx means f * x; i.e. product of frequency and number of sweets

f represents frequency;

Calculating ∑fx

∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1

∑fx = 39 + 80+ 205 + 0 + 43 + y

∑fx = 367 + y

Calcuating ∑f

∑f = 1 + 2 + 5 + 0 + 1 + 1

∑f =  10

Recall that

Mean = ∑fx/∑f and Mean = 42;

So, Mean = ∑fx/∑f becomes

[tex]42 = \frac{367 + y}{10}[/tex]

Multiply both sides by 10

[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]

[tex]420 = 367 + y[/tex]

Subtract 367 from both sides

[tex]420 - 367= 367 -367 + y[/tex]

[tex]53 = y[/tex]

[tex]y = 53[/tex]

Hence, the number of sweets in the 10th bag is 53

The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.

Given :

The following steps can be used in order to determine the total number of sweets in the 10th bag:

Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.

Step 2 - The formula of mean is given below:

[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]

Step 3 - Now, substitute the values of the known terms from the given table in the above expression.

[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]

Step 4 - Simplify the above expression.

[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]

So, the total number of sweets in the 10th bag is 53.

For more information, refer to the link given below:

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Answer:

x = 12, y = 16

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AD}{PS}[/tex] = [tex]\frac{DC}{SR}[/tex] , substitute values

[tex]\frac{20}{2x+6}[/tex] = [tex]\frac{18}{27}[/tex] ( cross- multiply )

18(2x + 6) = 540 ( divide both sides by 18 )

2x + 6 = 30 ( subtract 6 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

-------------------------------------------

and

[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{DC}{SR}[/tex] , substitute values

[tex]\frac{y}{24}[/tex] = [tex]\frac{18}{27}[/tex] ( cross- multiply )

27y = 432 ( divide both sides by 27 )

y = 16

Answer:

8.4375

Step-by-step explanation:

multiply 2.5 times 2.25 times 1.5

lenght x width x height

Answer:

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.

Answer:

x = -3/4

Step-by-step explanation:

15/4 - 7x = 9

When solving these types of equations, you want to isolate the variable

Subtract 15/4 from both sides to get

-7x = 21/4

Divide both sides by -7 to get

x = -3/4

Answer:

x = -3/4

Step-by-step explanation:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The triangles are similar so we can use ratios

8       32

---   = -----

8+5    32+x

Using cross products

8(32+x) = 32(13)

Divide each side by 8

(32+x) = 32(13)/8

32+x = 4*13

32+x =52

Subtract 32

x = 20

Answer:D subtraction property of equality

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I'm not sure if I read your question right, but if one angle is 90 and the other should be half the angle 90, the other angle must be 45. Thus, this would create a 45-45-90 triangle. There is no other possibility if one of the angles must be half that of the 90 degree angle.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

18

Answer:

B= 3xy

Step-by-step explanation:

6xy^3= 2ₓ3ₓ x ₓyₓyₓy

9x^2y= 3ₓ3ₓ x ₓ x ₓ y

common factors = 3, x , y

HCF:  3 ₓ x ₓ y

     =3xy

Answer:

Step-by-step explanation:

A linear function is a line which, in slope-intercept form, follows

y = mx + b,

where m is the slope and b is the y-intercept.

The only one that follows that form is B. B can be rewritten as

[tex]y=\frac{1}{3}x+2[/tex]

and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.

A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.

B is the one you want.

Answer: 10.8

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this.

a^2 + b^2 = c^2

6^2 = 36

9^2 = 81

36 + 81 = 117

square root of 117 is 10.8

Answer:

0

Step-by-step explanation:

(f-g)(x) = 12-sqrt(x)

plugging in 144, we get 12 - 12 = 0

one could also do f(x)-g(x) which would yield 24-24=0

Answer:9p

Step-by-step explanation: