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2 years ago

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Mathematics

1 answer:

Leokris [45]2 years ago

5 0

Answer: She is correct because each ratio is equivalent to 5:1, except for the last one, which is 1:5

5/1 = 5:1

10/2 = 5:1

25/5 = 5:1

10/50 = 1:5

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Hi my sister is at school so I'm on her account

svlad2 [7]

Yo answer to yo question is d

5 0

2 years ago

A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc d

Serjik [45]

Answer:

mini disc diameter:disc diameter

14cm:21cm = 7:10.5 = 3.5:5.25 = 1:1.5

4 0

2 years ago

After breaking your penny bank, you notice that you have $4.87 in quarters ($0.25), dimes ($0.10), nickels ($0.05), and pennies

ira [324]

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of dimes be 'x'.

Let the number of nickels be ' $\dfrac{3}{2}x$ '.

Let the number of pennies be $\dfrac{3}{2}\times 2x=3x$

Let the number of quarters be '3x-34'.

As we know that

1 quarter = $0.25

1 dime = $0.10

1 nickel = $0.05

1 penny = $0.01

According to question, we get that

$0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14$

So, the number of pennies is given by

$3x=3\times 14=42$

Hence, Option 'c' is correct.

3 0

2 years ago

Determine the measure of an angle (in radians) that cuts off an arc length of 6.4 inches in a circle with a 6.4 inch radius.

serg [7]

1 radian
because s= r × angle measurement in radian
we have s= arc , r = radian so we got the value

5 0

2 years ago

Can anyone help with these ? I'll give brainlyiest to anyone that can help with all of them! :) Thank you in advance .

Julli [10]

Answer:

1. (a) A function is a mapping $f:x\rightarrow y$ where there should be different values of y for different x.

So, given ordered pairs:

(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)

It is not a function because there are multiple y values for single x-value.

Option 2 is correct.

(b) We need to find range of the function f(x)= -4x +1

So, we have given the domain which means the value of x we will put thses given values of x to find y

Values of y is the range in a function

So, given domain is: {-5,-1,0,2,10}

When $x= -5$

$y=-4(-5)+1=21$

When $x=-1$

$y=-4(-1)+1=5$

when $x=0$

$y=-4(0)+1=1$

when $x=2$

$y=-4(2)+1=-7$

when $x=10$

$y=-4(10)+1=39$

So, Range is: {-39,-7,1,5,21}

Option 1 is correct.

(c) We have given a function $v(c)=98c$

Where c is the number of cup jug of milk which is 16.

Put c=16 in given function

$v(c)=98\cdot 16$

$v(c)=1568$

So, c=16, v(c)=1568 is reasonable domain and range of the function.

Option 1 is correct.

(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)

So, the inverse means values of x and y interchange.

So, the required inverse is: (2,1) ,(4,3) ,(8,6)

Option 3rd is correct.

2. We need to find the inverse of given scatter plot in which we have to find the inverse

So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)

So, in inverse values of x and y interchange

So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)

Attached is the scatter plot inverse

Graph 1 is correct.

3.We have been given a function:

$f(x)=3x$

So, f(x)=y

That is $y=3x$

We will find x from above equation we get

$x=\frac{y}{3}$

Now, interchange x and y

$y=\frac{x}{3}$

$\Rightarrow f(x)=\frac{x}{3}$ is the required inverse

Therefore, option 3rd is correct.

5 0

2 years ago