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3 years ago

Matt paid 55$ at a restaurant. the amount included a 10% tip. What was the check amount before the tip?

Mathematics

2 answers:

Nataly_w [17]3 years ago

7 0

50$0 was the amount paid at the restaurant

BigorU [14]3 years ago

4 0

$50.
As 50 + 5 (10% of $50) = $55.

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X÷4+9=12 plzzzzzzzzzzzzzzz help step by step

xeze [42]

So we are trying to solve for x so in order to do that we need to get x by itself on one side of the equal sign

first we are going to combine like terms on each side of the equal side

so on the left side we see 4+9 these are booth whole numbers not attached to a variable so we can simplify this by adding these two values together making our equation: x/13 = 12

our x is still not by itself so in order to get it by itself we need to get rid of that 13

we need that x is being divided by 13 so in order to get rid a divided value we have to do the opposite to both sides - multiply by 13 on each side!

x/13 x 13 = x
12 x 13 = 156

so our equation is now:
x = 156

is our x by itself on one side of the equal sign? yes! so our x value is 156

6 0

3 years ago

Please help me asap!

dusya [7]

7. Law of cosines

a² = b² + c² - 2bc cos A

where a is the side opposite to ∠A and b and c are adjacent sides to ∠A.

Here, a=BC= 3.8

b=CA =4.8

c = AB = 3.2

Substituting the values in the formula,

3.8² = 4.8² + 3.2² - 2(4.8)(3.2) cos A

30.72 cos A =23.04 + 10.24 -14.44=18.84

cos A = 18.84/30.72 = 0.6133

∴ cos A =0.6133

8. It is a right angled triangle.

Pythagoras theorem

hypotenuse² = Perpendicular² + base²

Here, hypotenuse = 6.7, base = 5.4

Perpendicular² = 6.7² -5.4²=44.89 - 29.16 =15.73

Perpendicular = √15.73 = 3.966 = 3.97

∴ The length of the missing side is 3.97.

9. Given: Side of new cube = 5 * Side of original cube

Let the side of the original cube measure 1 unit.

So, volume of original cube = side³ = 1

The side of new cube = 5 * 1 =5 units

So, volume of new cube = side³ = 5³ =125

The volume of the bigger cube is 125 times larger than the original cube.

10. Given : Height of the cone = 7 in

Radius of the base of the cone = 2 in

Volume of cone = (1/3) πr²h

=(1/3)π(2²)(7)

=29.32 cubic inches

∴ Volume of the cone is 29.32 cubic inches.

11. The given equation is:

x² -18x +10 =0

(x² -18x + 9²) +10 -9² =0

(x-9)²-71 =0

(x-9)² =71

x-9 =√71

x = 9 + √71

∴ x = 9+√71

7 0

3 years ago

1. Use the number line to find the coordinate of the midpoint of segment<br> BD.

Greeley [361]

Answer:

the answer would be 9.

Step-by-step explanation:

i had this question on my test.

8 0

3 years ago

If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?

Sergio [31]

Answer:

$\overline {R'S'} = 3 {\overline {RS} }$

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

The center of dilation = Point <em>Q</em>

Therefore;

The length of the segment, ${\overline {S'Q'} }$ = 3 × The length of the segment, ${\overline {SQ} }$

Similarly;

The length of the segment, ${\overline {R'Q'} }$ = 3 × The length of the segment, ${\overline {RQ} }$

By Pythagoras theorem, we have;

${\overline {R'Q'} }^2 = {\overline {R'S'} }^2 + {\overline {S'Q'} }^2$

Therefore;

${\overline {R'S'} }^2 = {\overline {R'Q'} }^2 - {\overline {S'Q'} }^2 = \left ({3 \times \overline {RQ} } \right) ^2 - \left (3 \times {\overline {SQ} } \right) ^2 = 9 \times \left (\overline {RQ} } ^2 - {\overline {SQ} } ^2 \right) = 9 \times {\overline {RS} }^2$