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
madam [21]
3 years ago
12

Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade. Mrs. Benson has how many math assignmen

ts left to grade.
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Mrs. Benson has 184 math assignments left to grade.

<u>Step-by-step explanation:</u>

Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:

Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.

⇒ x = 46+\frac{80x}{100}

⇒ x -\frac{80x}{100}= 46

⇒ \frac{100x-80x}{100}= 46

⇒ \frac{20x}{100}= 46

⇒ \frac{x}{5}= 46

⇒ x=230

Now , Assignments left to grade is :

⇒ 230-46

⇒ 184

Therefore , Mrs. Benson has 184 math assignments left to grade.

You might be interested in
Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

5 0
3 years ago
Given that p is an integer , q= -12 and the qupteint of p/q is -3 find p
Masteriza [31]

q=-12,\ \dfrac{p}{q}=-3\\\\\text{therefore}\\\\\dfrac{p}{-12}=-3\qquad\text{multiply both sides by (-12)}\\\\\boxed{p=36}

4 0
3 years ago
Rationalize the denominator and simplify.<br> 6<br> 15 - 3
Rzqust [24]

Answer:

a)6 =  \frac{6}{1} = 6  \:  \:  \: b)15 - 3 =  \frac{15}{3} = 5

5 0
2 years ago
Which expression is equivalent to ? Assume
stepan [7]

Answer:

b/a

Step-by-step explanation:

Given,(b^-2)/a*(b^-3)

or,(b^-2+3)/a

or,b/a

7 0
3 years ago
Read 2 more answers
Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)
DIA [1.3K]

Answer:

x - 11

Step-by-step explanation:

Let f(x) = -5x - 4 and g(x) = 6x - 7.

f(x) + g(x)

I like to line them up vertically

-5x - 4

6x - 7

--------------

x-11

8 0
3 years ago
Other questions:
  • If a copier contains 60% letter-size paper and 40% legal-size paper, what is the ratio of letter-size paper to legal-size paper?
    12·2 answers
  • (-5ab+4a+4) - (2ab-1)
    12·2 answers
  • Multiply and simplify (x-9)(x-3)
    14·2 answers
  • -5(5x-4)==============
    10·1 answer
  • Darius created a factor tree and wrote the prime factorization of 60 shown here.
    7·1 answer
  • Please help fasttttttt
    9·1 answer
  • Determine which is the better buy. 7 kilograms of wood for $13.65 or 5 kilograms of wood for $7.50. What is the unit price for e
    7·1 answer
  • I need help on this.
    8·1 answer
  • If y varies inversely as x and y=37 when x=33, find y if x=5
    5·1 answer
  • In a research report, the researcher provides the following information: The seven men were ages 32 to 45 (M
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!