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2 years ago

Without looking it up- what is -2317 - (-5294)?

Mathematics

2 answers:

vovangra [49]2 years ago

4 0

Answer:

=2977

Step-by-step explanation:

-2317 - (-5294)

-2317 + 5294

2977

Dafna1 [17]2 years ago

3 0

2977
-2317-(-5294)=
2977

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Tell me how you got the answer

Anvisha [2.4K]

Answer:

x = 18; y = 20

Step-by-step explanation:

Triangles KLM and KNO are similar, so the ratios of the lengths of corresponding sides are equal.

KL/KN = LM/NO

10/30 = 6/x

Cross multiply.

10x = 6 * 30

10x = 180

x = 18

KL + LN = KN

10 + y = 30

y = 20

8 0

2 years ago

12 is 90% of what number?<br><br><br> with steps

a_sh-v [17]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here 12 is 90% of a number.
So we can say that 90% of That number is 12 .
In this way we can get the the number

<h3><u>Solution</u><u>:</u><u>-</u></h3>

Let,

the number=x

<h3>According to the question ,</h3>

${:}\longrightarrow$ $\sf 90\% \:of \;x=12$

We know 90%=90/100
so add it

${:}\longrightarrow$ $\sf {\dfrac {90}{100}}\times x=12$

${:}\longrightarrow$ $\sf {\dfrac {90x}{100}}=12$

Now use cross multiplication method

${:}\longrightarrow$ $\sf 90x=12\times 100$

${:}\longrightarrow$ $\sf 90x=1200$

Now interchange sides .

${:}\longrightarrow$ $\sf x={\dfrac {1200}{90}}$

${:}\longrightarrow$ $\sf x={\dfrac {200}{15}}$

Answer will come in decimals so we take approximate value.

${:}\longrightarrow$ $\sf x=13.3$

${:}\longrightarrow$ $\sf x=approximately \:13$

$\therefore$ The number is 13.

6 0

2 years ago

Identify the excluded values of this product. Then rewrite the product in simplest form.

lara [203]

$\frac{6 {y}^{2} + 18y - 60 }{3 {y}^{2} - 12y } \times \frac{ {y}^{2} - 16 }{ {y}^{2} + 2y - 8} \\ \\ \frac{ {6y + 30y - 12y - 60}^{2} }{3y(y - 4)} \times \frac{ {(y)}^{2} - ( {4)}^{2} }{ {y}^{2} + 4y - 2y - 8 } \\ \\ \frac{6y(y + 5) - 12(y + 5)}{3y(y - 4)} \times \frac{(y + 4)(y - 4)}{y(y + 4) - 2(y + 4)} \\ \\ \frac{(6y - 12)(y + 5)}{3y(y - 4)} \times \frac{(y + 4)(y - 4)}{(y + 4)(y - 2)} \\ \\ \frac{6(y - 2)(y + 5)}{3y(y - 2)} \\ \\ \frac{2(y + 5)}{y} .$

8 0

1 year ago

1. Simplify. 5–1(3–2)

konstantin123 [22]

Answer with explanation:

Using following law of indices

$1.x^a \times x^b=x^{a+b}\\\\2. (x^m)^n=x^{mn}\\\\ 3. x^{-n}=\frac{1}{x^n}\\\\4. \frac{x^m}{x^n}=x^{m-n}$

$1.5^{-1}\times 3^{-2}=\frac{1}{5}\times\frac{1}{3^2}\\\\=\frac{1}{5\times9}\\\\=\frac{1}{45}\\\\2. \frac{mn^{-4}}{p^0*q^{-2}}=\frac{mq^2}{n^4}\\\\ 3.0.0042=4.2\times 10^3\\\\4.6.12 \times 10^3=6.12 \times 1000=6120\\\\ 5.0.5 \times(8\times10^5})=\frac{1}{2}\times8 \times 10^5=4\times 10^5\\\\6. (9 \times 10^3)^2=9^2 \times (10^3)^2=81 \times 10^6\\\\7.( \frac{1}{2}a^{-4}\times b^2 )_{a=-2,b=4}{\text{or}}( \frac{1}{2}a^{4}\times b^{-2} )_{a=-2,b=4}=\frac{1}{2}\times (-2)^{-4}\times(4)^2{\text{or}}=\frac{1}{2}\times (-2)^{4}\times(4)^{-2}=\frac{16}{2\times16}=\frac{1}{2}$

$9. (4\times x\times y^2)^3\times (xy)^5=4^3\times x^3\times (y^2)^3\times x^5 \times y^5\\\\=64\times x^{3+5}\times y^{5+6}\\\\=64x^8y^{11}\\\\10.(2\times t^3)^3(0.4\times r)^2=2^3 \times (t^3)^3\times (0.4)^2 \times r^2=8\times t^9 \times 0.16 \times r^2=1.28r^2t^9$