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dybincka [34]
3 years ago
13

Simon makes 30 cakes he gives 1/5 of the cakes to Sali. He gives 10 percent of the 30 cakes to Jane what fraction of the 30 cake

s does he have left?
Mathematics
2 answers:
pav-90 [236]3 years ago
8 0

Answer:

7/10

Step-by-step explanation:

0.1 = \frac{1}{10}

1/5

30 × 1/10 = 3

30 × 1/5 = 6

6+3 = 9

30 - 9 = 21

21/30 simplified = 7/10

Ilya [14]3 years ago
4 0

Answer:

7/10

Step-by-step explanation:

Total number of cakes made by Simon = 30 cakes.

Number of cakes gave to Sali =

1/5 Of total cakes = 1/5 x 30 = 6 cakes.

Number of the cakes gave to Jane = 10% of 30 cakes

10/100 as a decimal 0.10.

10% of 30 cakes = 0.10 times

30 = 3 cakes.

Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane

30-6-3 = 21

21 cakes left.

21/30 = 7/10

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Kiran mixes \frac{3}{4}
Serhud [2]

Step-by-step explanation:

7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.

Step-by-step explanation:

We are given that,

The amount of ingredients needed for the trail mix are,

Raisins = \frac{3}{4}

4

3

cup

Peanuts = 1 cup

Chocolate chips = \frac{1}{2}

2

1

cup

Since, Kiran needs to make 10 cups of the trail mix.

The amount of ingredients needed will be,

Raisins = \frac{3}{4}\times 10

4

3

×10 = \frac{30}{4}

4

30

= 7.5 cups

Peanuts = 1 × 10 = 10 cups

Chocolate chips = \frac{1}{2}\times 10

2

1

×10 = 5 cups

Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.

6 0
3 years ago
Read 2 more answers
Arjun has to stick by his budget. his salary is $112,000 after taxes. he divides his
geniusboy [140]
I hope this helps you :)

6 0
3 years ago
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y - 1 = 0?
DiKsa [7]
Y=-4x+6
or if you need it in the original format
4x+y-6=0
8 0
3 years ago
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Brainliest and 20 points asap
-Dominant- [34]

Answer:

ΔXOY ≅ ΔZOW ⇒ proved down

Step-by-step explanation:

* Lets study some facts on the circle

- If two chords equidistant from the center of the circles,

 then they are equal in length

* the meaning of equidistant is the perpendicular distances

 from the center of the circle to the chords are equal in length

* Lets check this fact in our problem

∵ XY and WZ are two chords in circle O

∵ OT ⊥ XY

- OT is the perpendicular distance from the center to the chord XY

∵ OU ⊥ WZ

- OU is the perpendicular distance from the center to the chord WZ

∵ OT ≅ OU

- The two chords equidistant from the center of the circle

∴ The two chords are equal in length

∴ XY ≅ WZ

* Now in the two triangles XOY and ZOW , to prove that

 they are congruent we must find one of these cases:

1- SSS ⇒ the 3 sides of the 1st triangle equal the corresponding

               sides in the 2nd triangle

2- SAS ⇒ the two sides and the including angle between them

                in the 1st triangle equal to the corresponding sides and

                including angle in the 2nd triangle

3- AAS ⇒ the two angles and one side in the 1st triangle equal the

                corresponding angles and side in the 2nd triangle

* Lets check we will use which case

- In the two triangles XOY and ZOW

∵ XY = ZW ⇒ proved

∵ OX = OZ ⇒ radii

∵ OY = OW ⇒ radii

* This is the first case SSS

∴ ΔXOY ≅ ΔZOW

4 0
3 years ago
Suppose that x and y vary inversely and that y=1/6 when x=3. Write a function that models the inverse variation and find y when
juin [17]

Answer:

The Inverse variation states a relationship between the two variable in which the product is constant.

i.e x \propto \frac{1}{y}

then the equation is of the form: xy = k where k is the constant of variation.

As per the given information: It is given that x and y  vary inversely and that y = 1/6 when x = 3.

then, by definition of inverse variation;

xy = k                                      ......[1]

Substitute the given values we have;

3 \cdot \frac{1}{6} = k

\frac{1}{2} = k

Now, find the value of y when x = 10.

Substitute the given values of x=10 and k = 1/2, in [1] we have;

10y = \frac{1}{2}

Divide both sides by 10 we get;

y = \frac{1}{20}

therefore, a function that models the inverse variation is; xy = \frac{1}{2} and value of  y = \frac{1}{20} when x = 10.



4 0
3 years ago
Read 2 more answers
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