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2 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]2 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]2 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

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Annette [7]

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2 years ago

In a school, 130 students are sixth graders. If 52% of the students in the school are sixth graders, how many students are there

emmasim [6.3K]

Answer:

250

Step-by-step explanation:

52%-> 130

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2 years ago

What is the equation of the line that passes through (-2, 2) and (1, -4)?

poizon [28]

Answer:

y = - 2x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = $\frac{-4-2}{1+2}$ = $\frac{-6}{3}$ = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 2), then

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - 2x - 2 ← equation of line

3 0

2 years ago

How many 1 inch cubes do you need to fill a cube with an edge length of 7/12 foot

grigory [225]

Answer:

[you need 343 1 inch cubes]

Step-by-step explanation:

A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.

——————

[volume of a cube if the edge length is L, is L x L x L or L cubed]

A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed

——————

This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.

To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:

343/1=343 so you need 343 1 inch cubes.

6 0

2 years ago

Solve step by step solution then only i can do it plxx

Anuta_ua [19.1K]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

$\longrightarrow$ $\sf b=6$

$\therefore$ $\overline{BC}=6cm$

BD=BC+CD

$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

$\longrightarrow$ $\sf h^2=8^2+15^2$

$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

$\longrightarrow$ $\sf h={\sqrt {64+225}}$

$\longrightarrow$ $\sf h={\sqrt {289}}$

$\longrightarrow$ $\sf h=17cm$

$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

3 0

2 years ago