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Viktor [21]
3 years ago
13

You ran into Pedro's for a quick lunch and spent

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

The total answer is $14.16 because the tip would be $2.16 so add it with 12 and you get $14.16.

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After the addition of an acid, a solution has a volume of 90 milliliters. The volume of the solution is 3 milliliters greater th
11111nata11111 [884]

Answer: 21.75\ milliliters

Step-by-step explanation:

Let be "x" the original volume of the solution (in milliliters) before the acid was added and "y" the volume of the solution (in milliliters) after the addition of the acid.

Set up a system of equations:

\left \{ {{x+y=90} \atop {y=3x+3}} \right.

Applying the Substitution Method, you can substitute the second equation into the first equation and then solve for "x":

x+y=90\\\\x+(3x+3)=90\\\\4x+3=90\\\\x=21.75

6 0
3 years ago
HELP ASAP<br> What is the measure of ZDBE?<br> A. 120°<br> B. 45°<br> C. 75°<br> D. 60°
kolezko [41]
B. 45 degrees is the answer
4 0
2 years ago
Read 2 more answers
HELP?
poizon [28]
My "work" is to enter the equations into a graphing calculator and let it show me the answers--just as your "work" is to copy the question to Brainly.

The solutions are
  (x, y) = (-0.5, 7.5)
  (x, y) = (3, 25)

_____
When you equate the expressions for y, you get the quadratic
  2x² -5x -3 = 0
  (2x +1)(x -3) = 0
  x = -1/2 or 3
  y = 5(x +2) = 15/2 or 25

4 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
V125BC [204]

Answer:

Y= x-7

Step-by-step explanation:

5 0
2 years ago
A new gas- and electric-powered hybrid car has recently hit the market. The distance traveled on 1 gallon of fuel is normally di
Doss [256]

Answer:

a) P [ Z > 70 ]  = 0.1075  or 10.75 %

b)  P [ Z < 60 ] = 0.1038   or  10.38 %

c)  P [ 55 ≤ Z ≤ 70 ] =  0.8882   or 88.82 %

Step-by-step explanation:

Normal Distribution  μ = 65    and σ = 4

a) The probability of the car travels more than 70 miles per gallon is:

P [ Z > 70 ]  =  (Z-μ) ÷ σ  ⇒   P [ Z > 70 ] = (70-65) ÷4     P [ Z > 70 ] = 1.25

the point 1.25 corresponds at values, from left tail up to 70 so we must go and look for the area for the point 1.24 which is 0.8925. Then we have the area or probability of all cars traveling up  to 70 miles therefore  we have to subtract 1 -0,8925

P [ Z > 70 ]  = 0.1075  or 10.75 %

b)The probability of the car travels less than 60 miles per gallon is:

P [ Z < 60 ]  = ( 60 - μ ) ÷  σ ⇒  P [ Z < 60 ] = (60-65)÷ 4    P [ Z < 60 ] = -1.25

Again -1.25 corresponds to 60 miles per gallon threfore we move to the left and find for point -1.26  which area is 0.1038 so

P [ Z < 60 ] = 0.1038     10.38 %

c) P [ 55 ≤ Z ≤ 70]

For  point  Z = 70 or 1.25 (case a above)  P [ Z ≤ 70] = (70-65)÷4  

P [ Z ≤ 70] = 1.25

In this case we got the whole area from the left tail up to 1.25

P [ Z ≤ 70]  = 0.8944 (includes the area of the point from the left tail up to the point assocciated to 55 miles and for that reason we have to subtract that area)

P [ Z ≥ 55 ]  = (55-65) ÷ 4     P [ Z ≥ 55 ] = -2.5  and the area is 0.0062

So P [ 55 ≤ Z ≤ 70 ] =  0.8944 - 0.0062  = 0.8882

8 0
3 years ago
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