Determine the equation of a line parallel to the line y = 3 that contains the point (2,-3).

A variety pack of chocolates contains chocolate candies with different fillings. one eighth of the candy has coconut filling, 5/

tino4ka555 [31]

<u>Answer</u> : the number of candies having chocolate cream filling $=26$

Percent of candy has peanut butter filling = 31.25%

Fraction of candy is orange or chocolate cream = $\frac{9}{16}$

<u>Explanation:</u>

Part of candy has coconut filling = $\frac{1}{8}$

Part of candy has peanut butter filling = $\frac{5}{16}$

Part of candy has orange cream filling = $\frac{5}{32}$

Remaining will be chocolate cream filling

= $1-\frac{1}{8}-\frac{5}{16}-\frac{5}{32}\\=1-\frac{4+10+5}{32}\\=1-\frac{19}{32}\\=\frac{32-19}{32}\\=\frac{13}{32}$

Now, we have number of candies with coconut filling =8

so, $\frac{1}{8}\times x=8$ , where x is the total number of candies ,

x = 8×8=64

So, the number of candies having chocolate cream filling=

$\frac{13}{32}\times 64\\=26$

Percent of candy has peanut butter filling = $\frac{5}{16}\times 100\\=\frac{125}{4}$

∴Percent of candy has peanut butter filling = 31.25%

Fraction of candy is orange or chocolate cream

$=\frac{5}{32}+\frac{13}{32}\\=\frac{18}{32}\\=\frac{9}{16}$

∴Fraction of candy is orange or chocolate cream = $\frac{9}{16}$

8 0

3 years ago

Express the standard notation: 8.48x10 to the 4th power

Over [174]

4th power
$0.00848 \times {10}^{4}$

8 0

4 years ago

It used to take Lizzy 11 minutes to run a mile. Now she runs the mile in 8 minutes. What is the percent of increase in her speed

Olegator [25]

Answer:

g

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (4 points) There will be no change to the gr

Dima020 [189]

Answer:

the y-intercept is 22 spaces higher.

Step-by-step explanation:

I don't know, what special operations you want to express with 3(5)x.

as it is written this simply means

3×5×x

no exponents or other special things are visible.

but it should not matter.

whatever is the first function is unchanged the first part of the second function.

so, the only difference is the "+ 22" part.

and that simply means that all y values (the functional result values) are increased by 22.

you know that "f(x) =" has the same meaning as "y =".

and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.

4 0

2 years ago

If anyone could help me with this I'd be really grateful.

Lostsunrise [7]

Answer:

d = 9

Step-by-step explanation:

Calculate the slope m of line AB and equate the result to 3

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

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)

m = $\frac{21-6}{d-4}$ = $\frac{15}{d-4}$ = 3 ( multiply both sides by d - 4 )

15 = 3(d - 4), that is

15 = 3d - 12 ( add 12 to both sides )

27 = 3d ( divide both sides by 3 )

9 = d

8 0

3 years ago