1answer.
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
inessss [21]
3 years ago
12

A survey of 398 children given at a local elementary school showed that 175 like chocolate ice cream, 225 like pistachio ice cre

am, and 123 do not like chocolate or pistachio ice cream. how many children like both chocolate ice cream and pistachio ice cream?
Mathematics
1 answer:
Maru [420]3 years ago
3 0
225-175=50
175-50=125
125 chidren liked both chocolate and pistachio ice cream.
Check: 398-123=275
275-125=150
225-125=100
175-125=50
100+50=150
150-150=0
You might be interested in
6. HELP
brilliants [131]
16/32 = P/100
Cross multiply
p(32) = 16(100)
32p = 1600
divide by 32 on both sides
p = 50 %
7 0
3 years ago
Which of the following is the best graph of the point below
Svet_ta [14]
There’s no graph belowww
3 0
2 years ago
The square of a whole number is between 1500 and 1600. The number must be between—?
mel-nik [20]
It is 39^2 or 1521, not sure which one you want.
5 0
3 years ago
What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

(x^2 - 4x) - (x + 4)

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

7 0
2 years ago
You are selling tickets for a high school basketball game. student tickets cost $3 and general admission cost $5. you sell 350 t
pickupchik [31]
a+b=350 => a=350 - b

3a + 5b = 1450
3(350-b)+b=1450
1050-3b+5b=1450
2b=400
b=200
a=150


5 0
2 years ago
Other questions:
  • Define the term perpendicular. What kind of angles do perpendicular lines create?
    12·2 answers
  • Why is 3 plus pi irrational?
    5·1 answer
  • Two experiments are to be performed. The first can result in any one of m possible outcomes. If the first experiment results in
    9·1 answer
  • Two functions are represented in different formats.
    12·1 answer
  • Write 8 in scientific notation
    7·1 answer
  • Question 6 of 9 Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 2 1 4 -mi
    13·1 answer
  • Victoria purchased 0.6lbs of deli ham for $4.71. What is the cost of ham per pound?
    11·1 answer
  • Which of the following are valid probability distributions?
    12·1 answer
  • 3(x-2) <br> I don’t know how to do this
    5·2 answers
  • Help ASAP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!