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3 years ago

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Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 do

zen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?

1 answer:

PIT_PIT [208]3 years ago

8 0

oh and I know you can get from a

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A rectangular garden hasblengtg and width as given by thr expression below length 4-7(3x+4y) eifth 3x(-2y) write a simplifird ex

Dima020 [189]

Perimeter of a rectangle = 2(l+w)
Length = 4-7(3x+4y)
=4-21x-28y
Width = 3x(-2y)
=-6xy
Perimeter
=2(4-21x-28y-6xy)
Answer = 8-42x-56y-12xy

8 0

3 years ago

Find the average value of the function on the given interval.<br> f(x)=(2x-1)1/2; [1,13]

Leni [432]

Answer:

The average value of the function on the given interval 6.5.

Step-by-step explanation:

Consider the given function is

$f(x)=\dfrac{2x-1}{2}$

We need to find the average value of the function on the given interval [1,13].

$f(x)=\dfrac{2x}{2}-\dfrac{1}{2}$

$f(x)=x-0.5$

The average value of the function f(x) on [a,b] is

$Average=\dfrac{1}{b-a}\int\limits^b_a {f(x)} \, dx$

Average value of the function on the given interval [1,13] is

$Average=\dfrac{1}{13-1}\int\limits^{13}_{1} {x-0.5} \, dx$

$Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}$

$Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]$

$Average=\dfrac{1}{12}[78-0]$

$Average=6.5$

Therefore, the average value of the function on the given interval 6.5.

6 0

3 years ago

after five years of earning interest at an annual rate of 4% and investment has earned $1,200 in interest determine the amount o

loris [4]

Answer:

$6000

Step-by-step explanation:

$1200/5years =$240/1yr

$240=4%

:. 1%=$60

Initial investment =$60*100%=$6000

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4 years ago

Giving brainiest, thank you, and follow<br>find the missing side length, m.

Rus_ich [418]

Answer is 5
brainliest?

6 0

3 years ago

Read 2 more answers

Find a in degrees.<br> 3<br> V58<br> 7 <br> ?

s344n2d4d5 [400]

Answer:

23.20°

Step-by-step explanation:

All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.

<h3>Trig relation</h3>

The tangent of the angle is the ratio of opposite and adjacent sides:

Tan = Opposite/Adjacent

Here, that means ...

tan(α) = 3/7

To find the value of α, we need to use the inverse tangent function, also called the arctangent function.

α = arctan(3/7) ≈ 23.19859°

α≈ 23.20°

3 0

2 years ago