The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answer:

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

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (4,-1) and (0,3)

[tex]m=\displaystyle\frac{-1-(-3)}{4-0}\\\\m=\displaystyle\frac{2}{4}\\\\m=\displaystyle\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into  [tex]y=mx+b[/tex] :

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

2) Determine the y-intercept (b)

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

The y-intercept occurs when x=0. Because we're given that (0,-3), the y-intercept is therefore -3.

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

I hope this helps!

Answer:

301.75$

Step-by-step explanation:

have a good day

Answer:

116 remainder 1

116 1/3

116.333

Step-by-step explanation:

Answer:

116 with a remainder of 1

Step-by-step explanation:

Picture below shows step by step work

Hopefully this helps!

Brainliest please?

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

Answer:

1dm = 10cm

Simple as it is

Answer:

The term “Deci” means one-tenth, and therefore decimetre means one-tenth of a meter. Since a meter is made up of 100 cm, one-tenth of 100 cm is 10 cm. Thus one decimeter measures 10 cm.

Step-by-step explanation:

hope it's help!

#letusstudy

#Staysafe!

#brainly

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

Answer 1 3/5 meter below sea level

In this case, a diver goes into two different location expressed with "meters below sea level" unit. To know the distance between the two location, then you need to subtract it.

Step-by-step explanation:

Distance = 2nd location - 1st location

Distance = 8 1/5 meter below sea level - 6 3/5 meter below sea level= 1 3/5 meter below sea level

Answer:

60%

Step-by-step explanation:

0.(6) is just not proper mathematical format.  

I will assume you meant 0.6.

Then the equivalent percentage would be 0.6(100%), or 60%

108 ft square

Step by step

5x8 is 40

3x4 is 12 x 1/2 is 6.

Again, 3x4 is 12 x 1/2 is 6

8x4 is 32

8x3 is 24

Add that all tigether and its 108

Answer: y=11 y=5 y=4 y=5 y=7 y=3

Step-by-step explanation:yknow

Answer:

40, 60, 80

Step-by-step explanation:

angles are 40, 3x, 4x

40+ 3x + 4x = 180

40 + 7x = 180

7x = 180 - 40

7x = 140

x = 20

so the angles are 40, 60, 80

[tex] - 4x + 2 \\ \\ [/tex]

Answer:

3x - 1 = 4x - 10

-1 = x - 10

9 = x

Step-by-step explanation:

10-1=4x-3x

9=X

this is the answer with steps

1

Step-by-step explanation:

Answer:

The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.

Step-by-step explanation:

Let,

Now, substuting all the given values in the formula to find the value of x.

[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]

[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]

Hence, the value of x is 20.

Now, we know the value of x. So, calculating the dimensions of cuboid :

Length = 3x

Breadth = 2x

Height = x

[tex]\rule{300}{2.5}[/tex]

answe:

102/13.65= 7.47m/s

then multoply by 3600 to get per hour

26.9 km/h

Answer:the number that divides a division problem

Step-by-step explanation:the divisor divides the another number for the answer

hope this helps!

Answer:

-8,-6,-3,7,9,10

Answer:

16, 25, 36

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:

[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]

So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)

Answer:

x² - 2x = 0

Step-by-step explanation:

a = 0 ; b = 2

x² - (a +b)x + ab = 0

x² - (0 +2 )x + 0*2 = 0

x² - 2x = 0

Answer: x> or equal to -5

Step-by-step explanation:

5x – 6 – 8x ≤ 9

Combine the lioe numbers

-3x-6≤ 9

+6 to both sides

-3x≤ 15

Divide by a -3 to both sides

X>or equal to -5

Hope that helps

Answer: Choice C

==========================================================

Explanation:

Recall that the form

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

can be abbreviated to

[tex]z = r*\text{cis}(\theta)[/tex]

The "cis" stands for the first letters of "cosine i sine" in that order.

The original fairly messy quotient can be shortened down to

[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]

We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.

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

Now we'll use this rule to divide two complex numbers

[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]

As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.

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

Let's apply that idea to what your teacher gave you

[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]

That last step then converts directly to the expression shown in choice C.

Answer:

y ≥ -0.5

Step-by-step explanation:

First, we can substitute 4 in for x in the inequality.

4 - 2y ≤ 5

Now, to solve for y, we start by subtracting 4 from both sides:

-2y ≤ 1

And divide by -2.  When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign.  This gives us:

y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5

Therefore, the possible values of y are -0.5 or greater.

Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.

Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.

Answer:

thx for points ....,..................

10 nickels = $0.50

10 dimes = $1.00

So- 10 nickels + 10 dimes = $1.50

Answer $12.25

Step-by-step explanation: edmentum