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
zavuch27 [327]
3 years ago
5

Natasha, Mark and Henry share some sweets in the ratio 5:4:4. Natasha gets 35 sweets. How many more sweets does Natasha get over

Henry?
Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

7 sweets

Step-by-step explanation:

This is because the constant of proportionality is 7 since 35/5 since it is the ratio for Natasha. Since 7 is the constant of proportionality, you multiply it by the difference of the ratios. In this case, Natasha and Henry have a difference of 1 in ratios. Since it is a difference of 1, you multiply that by the constant of proportionality, 7. 7 X 1 is equal to 7, so Natasha gets 7 more sweets than Henry.

You might be interested in
The eccentricity e of an ellipse is defined as the number c/a, where a is the distance of a vertex from the center and c is the
Anna71 [15]

Answer:

Check below, please.

Step-by-step explanation:

Hi, there!

Since we can describe eccentricity as e=\frac{c}{a}

a) Eccentricity close to 0

An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle. (Check picture, please)

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1 \:(Ellipse \:formula)\\a^2=b^2+c^2 \: (Pythagorean\: Theorem)\:a=longer \:axis.\:b=shorter \:axis)\\a^2=b^2+(0)^2 \:(c\:is \:the\: distance \: the\: Foci)\\\\a^2=b^2 \\a=b\: (the \:halves \:of \:each\:axes \:measure \:the \:same)

b) Eccentricity =5

5=\frac{c}{a} \:c=5a

An eccentricity equal to 5 implies that the distance between the Foci has to be five (5) times larger than the half of its longer axis! In this case, there can't be an ellipse since the eccentricity must be between 0 and 1 in other words:

If\:e=\frac{c}{a} \:then\:c>0 , and\: c>0 \:then \:1>e>0

c) Eccentricity close to 1

In this case, the eccentricity close or equal to 1 We must conceive an ellipse whose measure for the half of the longer axis a and the distance between the Foci 'c' they both have the same size.

a=c\\\\a^2=b^2+c^2\:(In \:the\:Pythagorean\:Theorem\: we \:should\:conceive \:b=0)

Then:\\\\a=c\\e=\frac{c}{a}\therefore e=1

7 0
3 years ago
the national flag of scotland has a white diagonal on a blue backround Tracy is sewing a scottish flag she knows that the length
dybincka [34]

Answer:

12 feet

Step-by-step explanation:

By Pythagoras theorem, a²+b²=c², where c represents the diagonal and a and b represents the other sides of a right angled triangle

As a flag is a rectangle, the two triangles cut would be  right angled triangles

Therefore, a²+9²=15²

a²+81=225

a²=144

a=√144

a=12 feet

7 0
3 years ago
One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is $30^\circ$. what is the number of in
Alik [6]
Ok

in a 30-60-90 right triangle, if the leg oposite the 30 degree angle is x then the hypontuse is 2x

if the leg oposite the 30 degree angle is 12 inches then the hypontuse is 12*2 or 24 inches
4 0
3 years ago
Where is the answer to the expression 4 − 8 located on a horizontal number line?
Lady_Fox [76]

Answer:

8 units to the left of 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the midpoint of the segment with two endpoints (4,-6) and (-2,-3)? Put your answers in decimal from, if applicable.
Ber [7]
Answer: 1,-4.5

Explanation: you can find this by finding the difference in y and the difference in x. The difference in x is -6, and the difference in y is +3. All you have to do after that is divide that by 2: -3,1.5, than add that to the first coordinate. That should be the midpoint.
4 0
2 years ago
Other questions:
  • Belinda is digging a round flower garden in her backyard. She has 19 feet rubber edging to place round the garden. What is the a
    15·1 answer
  • Hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp h
    13·1 answer
  • U = { x | x is the name of one of the states of in the US}
    9·1 answer
  • The perimeter of (the distance around) ABCD is 66, and DC is twice as long as CB. How long is AB?
    7·1 answer
  • Find the sum using the number line.10+( -5​) Move the point on the number line as needed to choose the correct value for the sum
    14·1 answer
  • Elections In a mayoral election, the number of votes for the incumbent was
    12·1 answer
  • The price of a video game system dropped by 18%. What is the current price if it used to be $140?
    15·1 answer
  • The points in the table lie on a line. Find the slope of the line
    6·1 answer
  • Help on this please I’d appreciate it
    6·1 answer
  • ESTIMATE 87.4 x 26.67
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!