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4 years ago

Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.

2 answers:

8 0

The width is 18.

step by step:
1. 2 lengths are 20 which is 20+20 that's 40.
2. 76-40= 36
3. Two widths are 36 cm.
4. so do 36÷2 and that equals 18

a_sh-v [17]4 years ago

4 0

The formula of a perimeter of a rectangle:

P = 2(w + l)

We have P = 76 cm and l = 20 cm.

Substitute:

2(w + 20) = 76 use distributive property

(2)(w) + (2)(20) = 76

2w + 40 = 76 subtract 40 from both sides

2w = 36 divide both sies by 2

w = 18

<h3>Answer: the width = 18 cm</h3>

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

Can you please answer this for me

Vsevolod [243]

Answer:

you are on the right track

Step-by-step explanation:

the second ones right so you are right :)

3 0

3 years ago

Marta said 50 + one-half m = 120 is an equation, while Maribel argued that it is an expression. Determine who is correct and exp

In-s [12.5K]

Answer:

Marta

Step-by-step explanation:

We are given that

$50+\frac{1}{2}m=120$

We have to find who is correct and explain.

We know that

Equation: It is mathematical sentence that combines numbers and variables which shows the equality of two expressions.

Example:

$x+y=3$

Expression: It is mathematical phrase that combines numbers and variables

using mathematical operators.It can be evaluated but not solved.

Example:

$x+y$

By definitions

$50+\frac{1}{2}m=120$

It is in equation form.

Therefore, Marta is correct.

3 0

3 years ago

Read 2 more answers

Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay

abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

$r=6.5\%=\frac{6.5}{100}=0.065$

$t=\text{141 days}=\frac{141}{365}\text{ year}$

$A=\$78001+0.065\times \frac{141}{365})$

$A=\$7800(1+0.065\times 0.38630136986)$

$A=\$7800(1+0.025109589041)$

$A=\$7800(1.025109589041)$

$A=\$7995.85479$

$A\approx \$7995.85$

Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

8 0

3 years ago

Pamela called nine repair shops for quotes for auto repairs. The prices are $139, $150, $345, $99, $167, $155, $140, $200, and $

ASHA 777 [7]

Answer:

Step-by-step explanation:

The prices of quoted of auto repairs are as listed below;

$139, $150, $345, $99, $167, $155, $140, $200.

For her to check whether there is an outlier in the data, she needs to find the mean of the set of data. An outlier is a value in a set of a data that varies considerably from other data in a dataset. It may be larger or smaller than other set of datas. An outlier can affect the decision of a set of data to be analysed if nor taken care of.

From the data, the possible outliers are $99 and $345

Mean of the data = sum of all the prices/sample size

xbar = \sum Xi / N

Xi are individual datas

\sum Xi = $139+$150+$345+$99+$167+$155+$140+$200+$160

\sumXi = $1555

Sample size = 9

Mean = $1555/9

Mean = $172.78

Hence the value that would best represent the central tendency is $177.78

5 0

3 years ago

Given the perimeter of a rectangle and either the length or​ width, find the unknown measurement using the appropriate formula.

Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.