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emmainna [20.7K]
2 years ago
6

Aubrey's dinner cost $85. She tips the waitstaff 30%, for excellent service.

Mathematics
1 answer:
Olin [163]2 years ago
6 0
30% is equal to 0.3 (found by dividing the percentage by 100). Then we multiply the cost of dinner, $85, by 0.3 to find an answer of $25.50.

Answer: $25.50
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Is (4, -2) the solution of the system of equations shown
Advocard [28]

No, because if you substitute (4, -2) into x and y in each equation, they are not the same as the value on the right side of the equation.

2(4) + 4(-2) = - 2

8 + -8 = -2

0 = -2 <---- this is not correct.

-4(4) + -2 = -14

-16 + -2 = -14

-18 = -14 <----- this is not correct.

8 0
3 years ago
Point E is the midpoint of AB and point F is the midpoint
GREYUIT [131]

The options are;

1) AB is bisected by CD

2) CD is bisected by AB

3) AE = 1/2 AB

4) EF = 1/2 ED

5) FD= EB

6) CE + EF = FD

Answer:

Options 1, 3 & 6 are correct

Step-by-step explanation:

We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.

The only line passing through point E is line CD.

Thus, we can say that line AB is bisected by pine CD. - - - (1)

Also, since E is midpoint of Line AB, it means that;

AE = EB

Thus, AE = EB = ½AB - - - (2)

Also, we are told that F is the mid-point of CD.

Thus;

CF = FD

Point E lies between C and F.

Thus;

CE + EF = CF

Since CF =FD

Thus;

CE + EF = FD - - - (3)

5 0
3 years ago
An organization will give a prize to a local artist. The artist will be randomly chosen from among
MrRissso [65]
8/18 HAPPY NEW YEAR!!!!!!!!!!!!!!
7 0
3 years ago
Read 2 more answers
Write the word sentence as an equation.
Mrrafil [7]

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

54 = x+9

x+9 = 54

54-9=x

54-x = 9

3 0
3 years ago
Find the distance between the given points: (2, -2) and (-4, 7)
sasho [114]

Answer:

3\sqrt{13}

Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, where (x_1, y_1) and (x_2, y_2) are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

x_1=2\\y_1=-2\\x_2=-4\\y_2=7

Now substitute those values into the formula and solve

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\sqrt{(-4-2)^2+(7--2)^2}

Simplify

\sqrt{(-4-2)^2+(7+2)^2}

\sqrt{(-6)^2+(9)^2}

Square the numbers under the radical

\sqrt{36+81}

Add the numbers under the radical together

\sqrt{117}

Simplify the square root

3\sqrt{13}

Hope this helps!

6 0
3 years ago
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