* Find the length of BD.
A

Given:

Cost of lunch = $40

Rate of sales tax = 15%

Rate of tip = 20% on $40.

To find:

The amount Damon pay.

Solution:

We have,

Cost of lunch = $40

Rate of sales tax = 15%

[tex]\text{Sales tax}=\dfrac{15}{100}\times 40[/tex]

[tex]\text{Sales tax}=6[/tex]

Rate of tip = 20% on $40

[tex]\text{Tip}=\dfrac{20}{100}\times 40[/tex]

[tex]\text{Tip}=8[/tex]

Now,

Total amount = Amount + Sales tax + Tip

                      = [tex]40+6+8[/tex]

                      = [tex]54[/tex]

Therefore, Damon pays total $54.

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

Answer:

40 cm is 8% of 5 m

Step-by-step explanation:

40 cm / 5m

= 40cm / 500cm

= 4/50

= 2/25

= 8%

Answer: 1/4

Step-by-step explanation: Typing steps

Find the Slope

(−1, −2) , (3, −1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  ---------------

    change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m =  -----------

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

       m = −1 − (−2) /3 − (−1)

Simplify the numerator.

Multiply −1 by −2.

       m =  −1 + 2 /3 − (−1)

Add −1 and 2.

       m =  1/3 − (−1)

Simplify the denominator.

Multiply −1 by −1.

       m = 1/3 + 1  

Add 3 and 1.

        m =  1/4

Answer:

The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.

Step-by-step explanation:

Given the system of equations

2.4x - 1.5y = 0.3

1.6x + 0.5y = -1.3

solving the system of equations

[tex]\begin{bmatrix}2.4x-1.5y=0.3\\ 1.6x+0.5y=-1.3\end{bmatrix}[/tex]

Multiply 2.4x - 1.5y = 0.3 by 2

Multiply 1.6x + 0.5y = -1.3 by 3

so the system of equations becomes

[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.8x+1.5y=-3.9\end{bmatrix}[/tex]

so

[tex]4.8x+1.5y=-3.9[/tex]

[tex]-[/tex]

[tex]\underline{4.8x-3y=0.6}[/tex]

[tex]4.5y=-4.5[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.5y=-4.5\end{bmatrix}[/tex]

solve 4.5y = -4.5 for y

[tex]4.5y=-4.5[/tex]

Multiply both sides by 10

[tex]4.5y\cdot \:10=-4.5\cdot \:10[/tex]

Refine

[tex]45y=-45[/tex]

Divide both sides by 45

[tex]\frac{45y}{45}=\frac{-45}{45}[/tex]

Simplify

[tex]y=-1[/tex]

For 4.8x - 3y = 0.6, plug in y = -1

[tex]4.8x-3\left(-1\right)=0.6[/tex]

[tex]4.8x+3\cdot \:1=0.6[/tex]

[tex]4.8x+3=0.6[/tex]

Multiply both sides by 10

[tex]4.8x\cdot \:10+3\cdot \:10=0.6\cdot \:10[/tex]

Refine

[tex]48x+30=6[/tex]

Subtract 30 from both sides

[tex]48x+30-30=6-30[/tex]

Simplify

[tex]48x=-24[/tex]

Divide both sides by 48

[tex]\frac{48x}{48}=\frac{-24}{48}[/tex]

simplify

[tex]x=-\frac{1}{2}[/tex]

or

[tex]x = -0.5[/tex]

Thus,

(x, y) = (-0.5, -1)

Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.

Answer: table 1.

Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount

Answer:

y-10=2/3(x-8)

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)

Answer:

5,070

Step-by-step explanation:

Answer:

14.6

Step-by-step explanation:

I have to say I hate it is a celebrity worth knowing about a person

Answer:

18y+30y+14y+150°+142=540

62y+292=540

subtract 292 from both sides

62y= 248

divide 62

y=4°

Answer:

Slope -1 , y intersept is (0,4)

Answer:

Y intercept=4 and the slope is -1/1 or -1

Step-by-step explanation:

The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1

Step-by-step explanation:

Your question is not well understood

Answer: There are 8 jars in the package.

Step-by-step explanation:

Given: Weight of each jar = 18 ounces

Weight of box = 6 ounces

If weight of package = 150 ounces , then the weight of all jars (only) = 150-6 ounces = 144 ounces

Number of jars = (Weight of all jars) ÷ (Weight of each jar)

= (144 ÷ 18)

= 8

Hence, there are 8 jars in the package.

Answer: 12 + 21y

Step-by-step explanation:

Answer:

12 + 21y

Step-by-step explanation:

Answer:

A. [tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]

Step-by-step explanation:

Given, slope formula = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

To find an equivalent equation, let's make [tex] y_1 [/tex] the subject of the formula.

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Cross multiply

[tex] 1(y_2 - y_1) = m(x_2 -x_1) [/tex]

[tex] y_2 - y_1 = m(x_2 - x_1) [/tex]

Subtract [tex] y_2 [/tex] from both sides

[tex] y_2 - y_1 - y_2 = m(x_2 -x_1) - y_2 [/tex]

[tex] - y_1 = m(x_2 - x_1) - y_2 [/tex]

Divide both sides by -1

[tex] \frac{- y_1}{-1} = \frac{m(x_2 -x_1) - y_2}{-1} [/tex]

[tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]

Answer:

a. Multiplication property of equality

b. Distributive property

c. addition property of equality

Step-by-step explanation:

The first one is wrong because you are multiplying the 2 on both sides to make it equal. There was nothing that they substituted for.

The second one will be the distributive property not the subtraction property of equality. They distributed the 2 into the [tex]\frac{1}{2}x[/tex] and the [tex]-5[/tex]. So that clears up that this step was the distributive property.

This one will be the addition property of equality because when you have a negative number you do the inverse so they added the 10 on both sides. Therefore it's the addition property of equality.

Answer:

B

Step-by-step explanation:

Answer:

256 m and 3840 m²

Step-by-step explanation:

The 3 part of the ratio represents 48 m , then

48m ÷ 3 = 16 m ← value of 1 part of the ratio, so

5 parts = 5 × 16 m = 80 m

Then breadth = 48 m and length = 80 m

perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m

area = lb = 80 × 48 = 3840 m²

Answer:

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Step-by-step explanation:

Answer:

56.55m³

Step-by-step explanation:

use a calculator, not brainly

Answer:

2......... ..... ..m.......... ..

Answer:

Cost of one CD = $9.98

Step-by-step explanation:

Total cost = $214.60

Total shipping and handling fee = $15.00

Number of CDs = 20

Cost of 20 CDs = Total cost - Total shipping and handling fee

= $214.60 - $15.00

= $199.60

Cost of one CD = $199.60 / 20

= $9.98

Cost of one CD = $9.98

Answer:

$9.98

Step-by-step explanation:

took a test and got the question right (this was the answer)

Answer:

d

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.

Thus the 2 base angles are congruent with measure 45°

Hence y = 45

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

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{2}[/tex]

Answer:

1014.73 in³/s

Step-by-step explanation:

We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.

Now, to find the rate of change of volume, we differentiate it with respect to time. So

dV/dt = d(πr²h)/dt

= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt

= 2πrh × dr/dt + πr² × dh/dt

when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).

So, dV/dt = 2πrh × dr/dt + πr² × dh/dt

= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)

= 1190π - 867π

= 323π in³/s

= 1014.73 in³/s

Answer:

[tex]\mathrm{A.\: 39.3}[/tex]

Step-by-step explanation:

Let [tex]h[/tex] represent the height of the two smaller triangles in this figure. Because all three triangles are similar, we can set up the following proportion:

[tex]\frac{33}{h}=\frac{h}{y}[/tex], for [tex]y=x-33[/tex].

We can solve for [tex]h[/tex] using the Pythagorean theorem on the second largest triangle:

[tex]33^2+h^2=36^2,\\h=\sqrt{36^2-33^2},\\h=\sqrt{207}[/tex].

Now plugging in [tex]h=\sqrt{207}[/tex] into our proportion [tex]\frac{33}{h}=\frac{h}{y}[/tex], we can solve for y:[tex]\frac{33}{\sqrt{207}}=\frac{\sqrt{207}}{y}[/tex].

Cross-multiply to get:

[tex]33y=207,\\y=\frac{207}{33},\\y\approx 6.3[/tex].

Since we [tex]y=x-33, y+33=x[/tex].

Therefore, our answer is:

[tex]x=33+y=33+6.3=\fbox{$\mathrm{A.\: 39.3}$}[/tex].

Answer:

m∠BCD = 24°

Step-by-step explanation:

By the theorem,

"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."

m(∠BOD) = 2(m∠BFD)

                = 2(78°)

                 = 156°

Therefore, m(arc BD) = m∠BOD = 156°

Since, m(arc BD) + m(arc BFD) = 360°

156° + m(arc BFD) = 360°

m(arc BFD) = 360 - 156

                   = 204°

Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".

m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]

              = [tex]\frac{1}{2}[204 - 156][/tex]

              = 24°

Answer:

16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Step-by-step explanation:

we need to determine if the ratios form the proportions.

16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]

If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]

So, finding cross product and checking:

[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]

Since the cross product is equal i.e. 81=81 so, the ratios are proportional.

The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) [tex]\frac{34}{9},\frac{25}{7}[/tex]

If the ratios are proportional, their cross product will be equal. i.e.

[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]

So, finding cross product and checking:

[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]

Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.

The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Answer:

C. 35 square centimeters

Step-by-step explanation:

What we need for this question:

The edges of a cube are 5 centimeters each.

The face diagonal is about 7 centimeters. (actually 7.0710678118655 cm)

To find the cross sectional area here, multiply 5 cm by 7 cm.

5 cm * 7 cm

35 cm² is your final answer, so C is the answer.

Answer:

It is C. 35 square centimeters

Step-by-step explanation: