BRAINLIEST IF ANSWERED QUICKLY Daniel bakes 420 cakes.
He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate.
2/7 of the cakes are vanilla cakes.
35% of the cakes are banana cakes.
The ratio of the number of lemon cakes to the number of chocolate cakes is 4 : 5.
Work out the number of lemon cakes Daniel bakes.

Answer:

the range is 13

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The word range simply means that you have to find the DIFFERENCE}\\\large\text{between the LARGEST number and the SMALLEST number.}\\\large\text{The word difference simply means SUBTRACT.}\\\\\large\text{The \underline{largest number}}\rightarrow\large\text{\bf 70}\\\large\text{The \underline{smallest number}}\rightarrow\large\text{\bf 57}\\\\\\\\\ \huge\text{70 - 57 = \bf 13}[/tex]

[tex]\boxed{\boxed{\large\text{Therefore, your \underline{answer} is: \huge\bf {13}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The answer is in the picture below, i didn't know how to put it in words sorry.

Step-by-step explanation:

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

Answer: Ted

Step-by-step explanation:

Answer:

214.2mm

Step-by-step explanation:

To find area (I'm assuming a rectangle since you didn't specify)  All you need to do is multiply the two to find area.

Answer:

C. 336 ways

Step-by-step explanation:

Plz mark as brainliest! :D

Answer:

C.

Step-by-step explanation:

Just use this

Rise = 1

-----------

Run = 2

That finds the slope for the + whatever you just have to look at the Y-value aka the straight up/down line

Answer:

60 * 40% = 24

Step-by-step explanation:

just use a calculator

Answer:

LCD-3x(x+2)

Final answer- x2-4x+4/ 3x2+6x

Step-by-step explanation:

okay so LCD is 3*x*(x+2)

= 3x(x+2)

so multiyling the fist expresion by x+2 and the second by x we get

2x+4+ x2-6x/ 3x(x+2)

= so

x2-4x+4/3x(x+2)

x2-4x+4/ 3x2+6x

if my answer helps please mark as brainliest.

Answer: X = 12, Y = 5

Step-by-step explanation:

4x-27 = x+9

   +27      +27

4x = x + 36

-x     -x

3x = 36

3x/3 = 36/3

X = 12

3y + 19 = 11y - 21

     +21          +21

3y + 40 = 11y

-3y           -3y

40 = 8y

40/8 = 8y/8

Y = 5

The values of x and y are 12 and 5, respectively

The given parameters are:

The slant sides of an isosceles trapezoid are equal.

So, we have:

[tex]EH =FG[/tex]

This gives

[tex]4x - 27 = x + 9[/tex]

Collect like terms

[tex]4x - x = 27 + 9[/tex]

[tex]3x = 36[/tex]

Divide through by 3

[tex]x = 12[/tex]

Also, the diagonals of an isosceles trapezoid are equal.

So, we have:

[tex]EG = FH[/tex]

This gives

[tex]3y + 19 = 11y - 21[/tex]

Collect like terms

[tex]11y - 3y =19 + 21[/tex]

[tex]8y = 40[/tex]

Divide through by 8

[tex]y = 5[/tex]

Hence, the values of x and y are 12 and 5, respectively

Read more about isosceles trapezoid at:

https://brainly.com/question/10187910

Answer:

They are equivalent.

Step-by-step explanation:

Answer:

20 is 80 of 25

Explanation:

20x10/8=25

A percentage is a way to describe a part of a whole. 20 is 80% of 25.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the number be x. Therefore, we can write,

80% of x = 20

0.80 × x = 20

x = 20/0.8

x = 25

Hence, 20 is 80% of 25.

Learn more about Percentages:

https://brainly.com/question/6972121

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Answer: cool

Step-by-step explanation:

Answer: ok

Step-by-step explanation: ok

Answer:

The answer is below

Step-by-step explanation:

Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.

Since the supplement weighs 16 lb, hence:

x + y + z = 16          (1)

Also supplement contains thirteen times as much mulch as iron. Therefore:

x = 13z

x - 13z = 0     (2)

The supplement also has twice as much potassium as iron, hence:

x = 2y

x - 2y = 0          (3)

solving equations 1, 2 and 3 simultaneously gives:

x = 10.1 lb, y = 5.1 lb, z = 0.8 lb

This means that the soil supplement contains 0.8 lb of mulch

Answer:

First one should be 309 second one should be 624 I may be wrong though since I haven't done volume in years

Step-by-step explanation:

:)

Answer:

A is 381 for the whole thing

B is 792 i think i am not one hundred percent sure on this one but it should be right

Step-by-step explanation:

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = [tex]\frac{distance}{time}[/tex]

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = [tex]105^{o}[/tex]

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bcCos A

   = [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) Cos 105

   = [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) x (-0.2588)

   = 2.5 x [tex]10^{7}[/tex] + 9 x [tex]10^{6}[/tex] + 7764000

   = 41764000

a = [tex]\sqrt{41764000}[/tex]

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

Answer:770000

Step-by-step explanation:

That how much they made

Answer:

€8988.75

Step-by-step My bad that's not the answer

Answer:

A=11

Step-by-step explanation:

11-13=2 and 2 is less than 3

Answer:

Step-by-step explanation:

Input:

a - 13<3

a<16

Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.

Step-by-step explanation:

The median is the middle number in the sequence.

To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.

The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.

Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.

The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.

Given  the data sets of two sets of quiz scores,

Sample A = 5, 5, 5, 5, 5

sample B = 2, 2, 2, 2, 17

mean is the average of total samples,

mean of sample A = (5 + 5+ 5 + 5 + 5 )/5

mean of sample A = 5

Mean of sample B = (2 + 2 + 2+ 2 + 17)/5

mean of sample B = 5

since the mean of both sample are same,

median is the central digit of sets

median of A is 5 and the median of B is 2,

so the median of sample A is larger than sample B.

Hence option D is correct.

Learn more about  central tendency;

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Answer:

[tex]t= 7.67[/tex]

[tex]t= 10.13s[/tex]

Step-by-step explanation:

Solving (a):

[tex]H=-16t^2+122t+5[/tex]

Required: Time to hit the ground

This means that H = 0

So, we have:

[tex]0=-16t^2+122t+5[/tex]

Rewrite as:

[tex]16t^2-122t-5=0[/tex]

Solve for t using:

[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]t= \frac{122 \± \sqrt{(-122)^2 - 4*16*-5}}{2*16}[/tex]

[tex]t= \frac{122 \± \sqrt{15204}}{2*16}[/tex]

[tex]t= \frac{122 \± 123.3}{32}[/tex]

Split:

[tex]t= \frac{122 + 123.3}{32}[/tex] or [tex]t= \frac{122 - 123.3}{32}[/tex]

[tex]t= \frac{245.3}{32}[/tex] or [tex]t= \frac{-1.3}{32}[/tex]

[tex]t= 7.67[/tex] or [tex]t= -0.0406[/tex]

Time can not be negative. so: [tex]t= 7.67[/tex]

Solving (b):

[tex]h=-16t^2+162t+0.2[/tex]

Required: Time to hit the ground

This means that h = 0

[tex]0=-16t^2+162t+0.2[/tex]

Rewrite as:

[tex]16t^2-162t-0.2= 0[/tex]

Solve for t using:

[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]t= \frac{162 \± \sqrt{(-162)^2 - 4*16*-0.2}}{2*16}[/tex]

[tex]t= \frac{162 \± \sqrt{26256.8}}{32}[/tex]

[tex]t= \frac{162 \± 162.04}{32}[/tex]

[tex]t= \frac{162 + 162.04}{32}[/tex] or [tex]t= \frac{162 - 162.04}{32}[/tex]

[tex]t= \frac{324.04}{32}[/tex] or [tex]t= \frac{-0.04}{32}[/tex]

Time can not be negative. So:

[tex]t= \frac{324.04}{32}[/tex]

[tex]t= 10.13s[/tex]

Answer:

Perimeter = 155.6 m

Step-by-step explanation:

Notice from the diagram, that the 55 meters long diagonal is the hypotenuse of a right triangle who has equal legs. Then we can use Pythagoras to find the length of the equal legs of the square:

[tex]hyp^2 = leg_1^2 + leg_2^2\\55^2 = 2\,*\,leg^2\\3025=2*leg^2\\leg=\sqrt{\frac{3025}{2} } \\leg\approx 38.89 \,\,meters[/tex]

Therefore, the perimeter of the square playground is 4 times this value:

Perimeter = 38.89 m *4 = 155.56 m

Since they want the answer rounded to the nearest 10th, we write:

Perimeter = 155.6 m

Answer:  I. 38.9 II. 155.6

Step-by-step explanation:

So we are working on 2 isosceles right triangles formed by the diagonal and two sides as it has two sides of the same length and two 45 degree angles. The two equal sides of an isosceles triangle are known as 'legs' whereas the third or unequal side is known as the 'hypotenuse'

The sides of isosceles right triangles have a peculiar relationship, 1:1:√2, and one way to find the sides is to use the "pattern formula," which only applies to these triangles:

Hypotenuse= Leg*√2

We don't know the answer to the legs yet, so we have to divide both sides by √2.

L= H/√t2= 1/2H*√2. Since our hypotenuse is 55:

L= 1/2*55*√2= (55*1)/2*√2= 27.5*√2

The square root of 2 is 1.414, so multiply:

27.5*1.414= 38.9 (the length of each side.)

If you want to simplify the equation a little more, here is another way of writing it;

sides length²*2=diagonal length².

Since we know each side length, all we have to do to find the perimeter of the square is to:

Perimeter = 4*side

155.6 = 4*38.9

Hope that can help!

Answer: 72cm by 108cm

Step-by-step explanation:

basically, take your numbers so, 4 / 30 in a fraction form, then take a random letter, i'm using n and put n / 540 (this also will be the same for 810!)

n x 30 = 30n, 4  x 540 = 2160, divide that by 30  (which is 72) then do the SAME process but with 810 (which then you get 108) and BAM you got your answer. good luck!

Answer:

x = -2

Step-by-step explanation:

Multiply both sides by 3 to get rid of the fraction:

x - 10 = -12

Add 10 to both sides:

x = -2

Answer:

it would have a range of 6

Step-by-step explanation:

im guessing that u ment 4 and ten not 104 so ya

Answer:

i got no clue

Step-by-step explanation:

ignc

answer =

y = kx ⇒

k = y/x = 5/7