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3 years ago

9

The length of a rectangle is 8cm less than twice it's width find the the dimensions of the rectangle if the area is 120cm(2)

1 answer:

Anton [14]3 years ago

5 0

Answer:

15 cm

Step-by-step explanation:

so:

if A= b x h and web have b Just Do the inverse formula:

H = a/b h=120/8 = 15 cm

Sorry for my bad English but I'm italian

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Weights of different sandwiches in two lengths are shown in the table.

Alexandra [31]

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

Cheese sandwich $\frac{1}{4}$ $\frac{3}{4}$

Chicken salad sandwich $\frac{3}{4}$ $1\frac{3}{4}$

Egg salad sandwich $\frac{2}{3}$ $1\frac{1}{3}$

For cheese sandwich proportion

$\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16$

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

$\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}$

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich proportion

$\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9$

So, egg salad sandwich is proportional to its length

6 0

2 years ago

Use the drop-down menus to choose steps in order to correctly solve 1+2b−13=12−4b−2b for b. Pls help

MrMuchimi

b=3

I found this out by subtracting and adding on both sides.

8 0

2 years ago

Read 2 more answers

WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"

Feliz [49]

Recall Euler's theorem: if $\gcd(a,n) = 1$ , then

$a^{\phi(n)} \equiv 1 \pmod n$

where $\phi$ is Euler's totient function.

We have $\gcd(9,32) = 1$ - in fact, $\gcd(9,32^k)=1$ for any $k\in\Bbb N$ since $9=3^2$ and $32=2^5$ share no common divisors - as well as $\phi(9) = 6$ .

Now,

$37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} = 32\cdot\left(32^{(\cdots)}\right)^6$

where the $c_i$ are positive integer coefficients from the binomial expansion. By Euler's theorem,

$\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9$

so that

$32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9$

7 0

1 year ago

Please help me with c this is confusing also is b correct?

OlgaM077 [116]

Answer: See attached.

Step-by-step explanation:

6 0

2 years ago

Consider the following system of equations. StartLayout Enlarged left-brace 1st row negative 10 x squared minus 10 y squared = n

ziro4ka [17]

These 2 equations has no solution and the equations are independent of each other.

<u>Step-by-step explanation:</u>

-10x² -10y² = -300 ----a

5x² + 5y² = 150 ---- b

While trying to solve this,

We can multiply the eq. b by 2 so we will get eq. c and then add to eq. a we will get 0 as the solution.

10x² + 10y² = 300 ----c

-10x² -10y² = -300 ---a

Everything cutoff, we will get 0, and there is no solution to these equations.

4 0

3 years ago

Read 2 more answers