answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katena32 [7]
2 years ago
14

(Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 96 had automatic transmission, and 76 had power

steering. 4 cars had all three of these extras. 19 cars had none of these extras. 23 cars had only air conditioning, 61 cars had only automatic transmissions, and 28 cars had only power steering. 11 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not power steering?
a) 37

b) 4

c) 7

d) 28

e) 24

Mathematics
2 answers:
Delvig [45]2 years ago
8 0

Answer:

e) 24

Step-by-step explanation:

Please see attachment

Shalnov [3]2 years ago
3 0

Answer:

Option E.

Step-by-step explanation:

Given information:

Air conditioning = 88

Automatic transmission = 96

power steering = 76

All three = 4

None of these extras = 19

Only air conditioning = 23

Only automatic transmissions = 61

Only power steering = 28

Both automatic transmission and power steering = 11

Place these values and draw a venn diagram as shown below.

Calculation for missing values:

11-4=7

96-61-4-7=24

88-24-4-23=37

From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.

Therefore, the correct option is E.

You might be interested in
The circle will be dilated by a scale factor of 6. What is the value for n if the expression nPI represents the circumference of
IgorLugansk [536]
A dilation by a scale factor of 6 will cause the radius to increase by a factor of 6. So r_{new} = 6r. If we plug this value of r into the formula for the circumference of a circle we get C = 2\pi r_{new} = 2\pi *6r = 12\pi r

So basically N = 12r. You haven't given me any original radius, so I can't give you a constant for N, but if you do have that original radius you can just plug that into 12r.

Based on your comment, N = 12 * 9 = 108 inches
8 0
2 years ago
Read 2 more answers
Seven students cut 5 and three-fourths inches of thread from a spool for a school project. What number represents the change in
Kitty [74]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
Read 3 more answers
Ethan and Leo start riding their bikes at the opposite ends of a 65-mile bike path. After Ethan has ridden 1.5 hours and Leo has
Ksenya-84 [330]

let Leo's speed = x mile/hr

so Ethan speed = (x + 6) miles per hour

Distance = Speed × Time

so distance traveled by Leo in 2 hours = x × 2 = 2x

and distance traveled by Ethan in 1.5 hours = 1.5( x + 6 ) = 1.5x + 9

since  they meet on the path , After Ethan has ridden 1.5 hours and Leo has ridden 2 hours , so together the have traveled on complete path that is 65 miles.

⇒  distance traveled by leo in 2 hours + distance traveled by Ethan in 1.5 hours = 65

⇒  2x + 1.5x + 9 = 65

⇒ 3.5x = 56

⇒ x = 16

Hence Leo's speed = x miles/hr = 16 miles/hour

and Ethan's speed = (x + 6) miles/hr = 16 +6 = 22 mile/hour

6 0
2 years ago
According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.

3 0
2 years ago
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the followin
svp [43]

Answer:

a) 1+2+3+4+...+396+397+398+399=79800

b) 1+2+3+4+...+546+547+548+549=150975

c) 2+4+6+8+...+72+74+76+78=1560

Step-by-step explanation:

We know that a summation formula for the first n natural numbers:

1+2+3+...+(n-2)+(n-1)+n=\frac{n(n+1)}{2}

We use the formula, we get

a) 1+2+3+4+...+396+397+398+399=\frac{399·(399+1)}{2}=\frac{399· 400}{2}=399· 200=79800

b) 1+2+3+4+...+546+547+548+549=\frac{549·(549+1)}{2}=\frac{549· 550}{2}=549· 275=150975

c)2+4+6+8+...+72+74+76+78=S / ( :2)

1+2+3+4+...+36+37+38+39=S/2

\frac{39·(39+1)}{2}=S/2

\frac{39·40}{2}=S/2

39·40=S

1560=S

Therefore, we get

2+4+6+8+...+72+74+76+78=1560

5 0
2 years ago
Other questions:
  • A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
    12·2 answers
  • Use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle. Show all work for full credit.
    11·1 answer
  • A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
    8·1 answer
  • Use complete sentences to describe the range of the sine function.
    13·1 answer
  • Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB
    14·1 answer
  • Which type of function best models the data shown on the scatterplot?
    10·2 answers
  • Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths
    12·2 answers
  • An article reports Sales have grown by 30% this year to $200 million, what were sales before the growth?
    13·1 answer
  • An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A)
    5·1 answer
  • Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!