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
sergiy2304 [10]
3 years ago
15

The fifth graders are planning a pizza party. Each fifth grader will eat two slices of pizza with a favorite topping. One-half o

f the students want pepperoni. One-fourth of the students want xtra cheese. One-eighth of the students want sausage. Four students want mushrooms. How many students select a favorite topping for their pizza slices?
Mathematics
1 answer:
icang [17]3 years ago
4 0
32 students choose a favorite topping for their slices.

Let x be the total number of students.

1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.

We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x

We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x


Combining like terms:
7/8x+4=x

Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x

Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
You might be interested in
Solve 5n=20 math right now please
maksim [4K]

Answer:

n=4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 6% interest, what is the immediate effect on the money suppl
Aleksandr [31]
<span>60,000 - 4% = ? Just do this and you will get your answer. </span>
3 0
3 years ago
Read 2 more answers
The sequence 2, 3, 5, 6, 7, 10, 11, $\ldots$ contains all the positive integers from least to greatest that are neither squares
sergeinik [125]
The 400th term is 425.

There are floor(√400) = 20 squares in the range 1..400, so the 400th term will be at least 420. There are floor(∛420) = 7 cubes in the range 1..400, so the 400th term may be as high as 427. However, there are \lfloor\sqrt[6]{427}\rfloor=2 numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 = 425.
7 0
3 years ago
Please help. Screenshot attachedn
NARA [144]

Answer:

x = -0.17   and    x = -5.83

Step-by-step explanation:

We are asked to solve the quadratic equation

x^2+6\,x+1=0

We use the quadratic formula using a = 1, b = 6 and c = 1

for a general quadratic equation of the form: ax^2+bx+c=0

Then, the solutions are given by;

x=\frac{-6+/-\sqrt{36-4\,(1)\,(1)} }{2} =\frac{-6+/-\sqrt{32} }{2}

which produces the two following answers (rounded to two decimals):

x = -0.17   and    x = -5.83

8 0
3 years ago
If f(x) = x^2 +4, find f'(1)
marissa [1.9K]

Answer:

f'(1x) = 2x

or

f'(0) = 4

Step-by-step explanation:

Hope this helps if not im sorry

5 0
2 years ago
Other questions:
  • I move east a distance of 4km, south a distance of 2 km, and then west a dostance of 1km. What is the cartesian cordinates relat
    15·1 answer
  • Given line segment AC with the endpoint A(4,6) and midpoint B(-2,3), find the other endpoint C
    13·1 answer
  • A hiker starts hiking at the beginning of a trail at a point which is 200 feet below sea level. He hikes to a location on the tr
    8·1 answer
  • In a survey of 3,803 adults concerning complaints about​restaurants, 1,470 complained about dirty or​ ill-equipped bathrooms and
    13·1 answer
  • Which expression below gives the average rate of change of the function h(x)=4^(x+2)+7 on the interval –3 ≤ x ≤ 5?
    10·2 answers
  • A father's age is eight years more than three times his sons age. the mothers agee is eighteen years more than to times the sons
    15·2 answers
  • PLEASE ANSWER ASAP! ​
    15·2 answers
  • Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range?
    5·1 answer
  • Which of the following is the coefficient in the algebraic expression 2x+4?
    12·2 answers
  • Some friends are going to play laser tag. The cost of one game is $7.50. Each friend also purchase a drink for $3.50. Write an e
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!