All categories

3 years ago

Fiona, Peter and Angad share some sweets in the ratio 4:5:1. Fiona gets 40 sweets. How many sweets are there altogether?

Mathematics

2 answers:

steposvetlana [31]3 years ago

8 0

Answer:

100

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 + 1 = 10 parts

Fiona gets 40 sweets which is 4 parts of the ratio

Divide Fiona's share by 4 to find the value of one part of the ratio

40 ÷ 4 = 10 ← 1 part of the ratio

The total number of sweets is 10 parts , thus

number of sweets in total = 10 × 10 = 100

ivanzaharov [21]3 years ago

5 0

100
if Fiona gets 40 sweets out of 4 parts of the ratio 40 divided by 4 = 10 therefore each part of the ratio is equal to 10 sweets. 4+5+1= 10 and 10x10= 100 so there is 100 sweets altogether

You might be interested in

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Nikolay [14]

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

$3x+(3)(x)+(y)(3)$

$=3x+3x+3y$

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

7 0

3 years ago

In the accompanying figure, triangle ABC has coordinates A(0,3), B(7,3), C(7,7). What is the area of triangle ABC in square unit

lora16 [44]

Look at the picture.

$A_\triangle=\dfrac{bh}{2}$

$b=7,\ h=4\\\\A_\triangle=\dfrac{7\cdot4}{2}=14$

Answer: D. 14 units²

5 0

3 years ago

Read 2 more answers

Determine the slope of the line below. A.-3/2 B.2/3 C.3/2 D.-2/3

natali 33 [55]

It should be A) -3/2

6 0

3 years ago

The acceleration of a Maserati (sports car) is proportional to the difference between 250 km/h and its velocity. If the car can

Igoryamba

Answer:

a) The differential equation for the velocity is given by

(dv/dt) = k(250 - v)

b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾

With units of km/h

Step-by-step explanation:

Acceleration, a ∝ (250 - v)

But acceleration is widely given as dv/dt

(dv/dt) ∝ (250 - v)

(dv/dt) = k(250 - v)

where k = constant of proportionality

(dv/dt) = k(250 - v)

b) (dv/dt) = k(250 - v)

dv/(250 - v) = k dt

∫ dv/(250 - v) = ∫ k dt

- In (250 - v) = kt + c (where c is the constant of integration)

v(0) = 0; meaning, at t = 0, v = 0

- In 250 = 0 + C

c = - In 250 = - 5.52

- In (250 - v) = kt - 5.52

In (250 - v) = 5.52 - kt

250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾

v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾

With units of km/h

i hope this work for you

and sory if im wrang

4 0

2 years ago

John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be twice Mary'

Nana76 [90]

Answer:

Option 2 is correct that could be used to solve the problem.

Step-by-step explanation:

Present age of Mary is x

And present age of John is y

Since, john is 5 years older than Mary hence, we get

y=x+5

In 10 years twice john's age is decreased by Mary's age by 35

2(y+10)-(x+10)=35

hence, Option 2 is correct which could be use to solve the problem.

4 0

3 years ago

Read 2 more answers