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
ikadub [295]
2 years ago
9

150 adults complete a survey

Mathematics
1 answer:
lesya [120]2 years ago
7 0

Answer:

7 : 8

Step-by-step explanation:

150 adults complete a survey. 80 are women. Thus the ratio of number of men to number of women . Therefore the number of men to number of women be 7 : 8

You might be interested in
A farmer has enough feed to last his 15pigs for 20days. How long would the feed last if he had 10pigs​
ddd [48]

40/3 days, (13.33 days)

Step-by-step explanation:

Set up the equation, 15/20 = 10/x, and then use cross mutiply to solve it.

10 * 20 = 15x, x = 200/15 = 40/3

Why?

b/c if each pig eats the same amount of food, then the ratio between the number of pigs and days should remain constant.

5 0
2 years ago
What is 32% of 75.write your answer underneath?
Leviafan [203]
Do you mean 0.75? Or 75? If you meant 32% of 75 it's 24.... But if you meant 32% of 0.75 it's 0.24.

Hope this helps! <3 
8 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
A giraffe at the zoo is 5 meters tall. Name something else that is about 5 meters tall.
WITCHER [35]

Answer:

telephone pole

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Figure Ais reflected across the line to create figure A’
topjm [15]
What about it? What is your question that ur asking
4 0
3 years ago
Other questions:
  • 2x -9 &lt; 7<br> Please answer
    9·1 answer
  • how would I find out length and with when the area is 1500 square yards and the length is 20yards longer than width
    13·1 answer
  • A factor tree for 61 that is not nothing
    15·1 answer
  • Which statement is incorrect?
    12·1 answer
  • Please help. <br> Giving 20 points.
    14·1 answer
  • How to divide 33 photos into two groups so that the ratio is 4 to 7
    8·1 answer
  • Which of these inferences about the two debate teams are true? Check all that apply.
    10·2 answers
  • The sector of a circle is shown below. It has a radius of 10 centimeters and a central
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B4a%20%7B%7D%5E%7B6%7D%20%7D%20%20%5C%3A%20%20%2B%20%20%5Cfrac%7B2%7D%7Ba%2
    8·1 answer
  • What am I supposed to do? Someone please help I frl will Lu.v 697 forever
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!