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aleksklad [387]

3 years ago

9

The rectangle shown has a perimeter of 98 cm and the given area. Its length is 7 more than 5 times its width. Write and solve a

system of equations to find the dimensions of the rectangle.

1 answer:

Anettt [7]3 years ago

3 0

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

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Simplify expression please thank you

Nataly_w [17]

Answer:

$f(x)=-63xy^8$

Step-by-step explanation:

$f(x)=(-9x^4y^6)(7x^{-3}y^2)$

$f(x)=(-63x^{4-3}y^{6+2})$

$f(x)=-63xy^8$

7 0

3 years ago

1. Simplify: <br> a. -2(4ab3)2 b. 6a-5 * 2a4 <br><br> SHOW ALL WORK PLEASE THANK YOU!

marusya05 [52]

A. $-2(4ab^{3} )^{2}$
$-2(16a^{2}b^{6})$
$-32a^{2}b^{6}$

b. $6a^{-5} * 2a^{4}$
$(6*2)a^{-5+4}$
$12a^{-1}$

6 0

4 years ago

Read 2 more answers

Stephanie needs to cover her yard with 4103/4ft2 of soil she has enough for 125 ft2 in one bag and 65 ft 2 in another bag how mu

Evgen [1.6K]

Answer:

Stephanie requires 835.75 square feet more amount of soil to cover her yard.

Step-by-step explanation:

Given:

Total square feet of yard she need to cover with soil = $\frac{4103}{4}\ ft^2$

$\frac{4103}{4}\ ft^2$ can be rewritten as 1025.75 square feet.

Total square feet of yard she need to cover with soil = $1025.75\ ft^2$

Amount of soil in one bag = $125\ ft^2$

Amount of soil in other bag = $65\ ft^2$

Total Amount of soil she has is equal to sum of Amount of soil in one bag and Amount of soil in other bag.

Framing the equation we get;

Total Amount of soil she has= $125+65 = 190\ ft^2$

Now We need to find the Amount of soil she required more to cover the yard.

Amount of soil she required more is equal to difference of Total Amount of soil she has and Total square feet of yard she need to cover with soil.

Framing the equation we get;

Amount of soil she required more = $1025.75-190= 835.75\ ft^2$

Hence Stephanie requires 835.75 square feet more amount of soil to cover her yard.

6 0

3 years ago

The temperature on a February moming is -6° Celsius at 6 am. If the temperature drops 2 degrees by 7 am, rises 3 degrees between

MrMuchimi

Answer:

-24degC

Step-by-step explanation:

-6degC dropping by 2degC leads to -8degC (2degC colder, higher value negative numbers are colder as negative numbers increase in the opposite direction of positives)

so next -8degC rising by 3degC which is 3degC hotter(less negative) will give -5degC

the finap drop by 9degC makes the final temperature -5 -19 = -24degC(similar reasoning)

if you want a more straightforward method to doing these sorts of questions, just take temperature rise : add the value it rose by and temperature fall/drop: subtract the value it dropped/falled by.

7 0

3 years ago

Read 2 more answers

Two arithmetic means between 3 and 24 are -

defon

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

<h3>What is arithmetic mean?</h3>

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;

$t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}$

The second and 3rd term are:

$A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}$

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Learn more about the arithmetic mean here;

brainly.com/question/14831274

#SPJ1

8 0

3 years ago