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
Flura [38]
3 years ago
10

Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into eac

h glass?
Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

1/8

Step-by-step explanation:

16 (cups in a gallon ) divided by 2=8=1/8

You might be interested in
1/4d=1/5g(g+e)-h <br> solve for d<br> Please show your work.
loris [4]

Answer:

See below

Step-by-step explanation:

To solve for d, multiply both sides of the equal sign by 4.

4(1/4d) = 4 (1/5g(g+e)-h)

4/4d = 4(1/5g^{2} + 1/5ge - h)

d = 4/5g^{2} + 4/5ge - 4h

5 0
3 years ago
1.
Eddi Din [679]

Answer:

a) y=\dfrac{5}{2}x

b) yes the two lines are perpendicular

c) y=\dfrac{5}{4}x+6

Step-by-step explanation:

a) All this is asking if to find a line that is perpendicular to 2x + 5y = 7 AND passes through the origin.

so first we'll find the gradient(or slope) of 2x + 5y = 7, this can be done by simply rearranging this equation to the form y = mx + c

5y = 7 - 2x

y = \dfrac{7 - 2x}{5}

y = \dfrac{7}{5} - \dfrac{2}{5}x

y = -\dfrac{2}{5}x+\dfrac{7}{5}

this is changed into the y = mx + c, and we easily see that -2/5 is in the place of m, hence m = \frac{-2}{5} is the slope of the line 2x + 5y = 7.

Now, we need to find the slope of its perpendicular. We'll use:

m_1m_2=-1.

here both slopesm_1 and m_2 are slopes that are perpendicular to each other, so by plugging the value -2/5 we'll find its perpendicular!

\dfrac{-2}{5}m_2=-1.

m_2=\dfrac{5}{2}.

Finally, we can find the equation of the line of the perpendicular using:

(y-y_1)=m(x-x_1)

we know that the line passes through origin(0,0) and its slope is 5/2

(y-0)=\dfrac{5}{2}(x-0)

y=\dfrac{5}{2}x is the equation of the the line!

b) For this we need to find the slopes of both lines and see whether their product equals -1?

mathematically, we need to see whether m_1m_2=-1 ?

the slopes can be easily found through rearranging both equations to y=mx+c

Line:1

2x + 3y =6

y =\dfrac{-2x+6}{3}

y =\dfrac{-2}{3}x+2

Line:2

y = \dfrac{3}{2}x + 4

this equation is already in the form we need.

the slopes of both equations are

m_1 = \dfrac{-2}{3} and m_2 = \dfrac{3}{2}

using

m_1m_2=-1

\dfrac{-2}{3} \times \dfrac{3}{2}=-1

-1=-1

since the product does equal -1, the two lines are indeed perpendicular!

c)if two perpendicular lines have the same intercept, that also means that the two lines meet at that intercept.

we can easily find the slope of the given line, y = − 4 / 5 x + 6 to be m=\dfrac{-4}{5} and the y-intercept is c=6 the coordinate at the y-intercept will be (0,6) since this point only lies in the y-axis.

we'll first find the slope of the perpendicular using:

m_1m_2=-1

\dfrac{-4}{5}m_2=-1

m_2=\dfrac{5}{4}

we have all the ingredients to find the equation of the line now. i.e (0,6) and m

(y-y_1)=m(x-x_1)

(y-6)=\dfrac{5}{4}(x-0)

y=\dfrac{5}{4}x+6

this is the equation of the second line.

side note:

this could also have been done by simply replacing the slope(m1) of the y = − 4 / 5 x + 6 by the slope of the perpendicular(m2): y = 5 / 4 x + 6

8 0
3 years ago
Decrease 216 by 37 1/2%
Anon25 [30]

Step-by-step explanation:

In this question we need to decrease 216 by 37\dfrac{1}{2}\% or 37.5 %.

For this, firstly find 37.5 % of 216.

37.5\%\ \text{of}\ 216=\dfrac{37.5}{100}\times 216\\\\=81

Now subtracting 81 from 216 to find decrease of 216 by 37.5 %.

So,

216-81 = 135

Hence, 135 is the decrease of 216 by 37.5 %.

8 0
3 years ago
what is the value of y if x=8
shutvik [7]

Answer:y=7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Plz help pwetty pwetty pweeze
guapka [62]

Answer:

What is the question??

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 2 What is the minimum amount of information you need in order to calculate the slope of a line?
    9·2 answers
  • Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a spade fo
    8·1 answer
  • Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a
    9·1 answer
  • A go kart speed is 607,200feet per hour what is the speed in miles per hour.
    8·2 answers
  • The length of an object is measured as 65.8 centimeters what is this measurement in scentific notation
    10·1 answer
  • Linear regression describes the extent to which _______ predicts ________. X; Y the predictor variable; the criterion variable t
    8·1 answer
  • Please help, timed! Will mark brainliest!!
    12·1 answer
  • I NEED ANSWERS RIGHT NOW
    6·1 answer
  • Graph the equation,<br> y = 5x - 5
    5·2 answers
  • Mike discovered that the pool in his backyard is leaking slowly. The pool holds 15,434 gallons of water, and is leaking at a rat
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!