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
BaLLatris [955]
1 year ago
14

There were 20 pumpkins in a garden. One fourth of the pumpkins were too small, one tenth were too large, and one half were just

the right size. The rest were not ripe yet. How many of the pumpkins were too small?
Mathematics
2 answers:
rosijanka [135]1 year ago
7 0

Answer:

5 pumpkins

Step-by-step explanation:

It is said that one fourth of the pumpkins is too small, so:

\frac{pumpkins-that-are-too-small}{total-amount-of-pumpkins}=\frac{1}{4}

This means one out of every four pumpkins is too small.

But we have a total of 20 pumpkins, not four, so we just need to multiply our real total amount of pumpkins with the ratio given and then we find the amount of pumpkins that are too small:

\frac{pumpkins-that-are-too-small}{total-amount-of-pumpkins}*total-amount-of-pumpkins

=pumpkins-that-are-too-small

So; filling in the numbers:

\frac{1}{4} *20 = \frac{1*20}{4}=\frac{20}{4}=5

Monica [59]1 year ago
5 0

Answer: 5 pumpkins

Step-by-step explanation:

      Since one-fourth of the pumpkins were too small, we will find one-fourth of 20 by dividing, then multiplying.

One fourth = \frac{1}{4} = 0.25

20 * 0.25 = 5

           5 pumpkins were too small.

You might be interested in
HELP!! Please answer 9 and ten with solution needed!!
sashaice [31]

Answer:

m=7 z=-12

Step-by-step explanation:

expand brackets:

8m+24=5m+45

Change sides:

8m-5m=45-24

3m=21

<u>m=7</u>

<u />

<u>z-6</u>    =  <u>3</u>

2z         4

Coss multiply:

4z-24=6z

4z-6z=24

-2z=24

Divide both sides by -2:

z=-12

4 0
2 years ago
Use the Quadratic Formula to solve the equation 4x^2−7=4x.
tino4ka555 [31]

Answer:

\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}

Step-by-step explanation:

\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2

6 0
3 years ago
Fill in the other coordinate for the line 7x - 5y =21:(4 , ?)
inessss [21]
<span>7x - 5y =21
-7           -7
5y  =     14
----        -----
5            5
y=   2.8
(4,2.8)</span>
7 0
2 years ago
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
5 0
3 years ago
Please help will give brainliest if you give proper answer
atroni [7]
On IV the answer is C
3 0
3 years ago
Read 2 more answers
Other questions:
  • How are a histogram and a dot plot different
    6·2 answers
  • Find the slope, if it exists, of the line containing the points (3,-1) and (3, -6).
    14·1 answer
  • Nicole is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Nicol
    13·1 answer
  • Sorry, this is for my school stuff and this is the only way I can get the pictures.
    9·1 answer
  • If the volume of a cube is 216cm³, what is it's length​
    6·1 answer
  • Y = 2x - 3<br> y = 2x + 1
    12·1 answer
  • Mr. &amp; Mrs. Dargen spent $46.25 on a meal, about how much should they<br> leave for a 18% tip?
    15·1 answer
  • Help i really have no clue not sure where to start
    10·2 answers
  • Pleseeeee help me fast
    5·1 answer
  • Find the values of m&amp;n if x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!