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3 years ago

I'm thinking of a number. It is either more than 19 or less than 13.

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

Answer:

is this a trick question?

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The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se

Rina8888 [55]

Answer:

Step-by-step explanation:

$x,\ y-the\ numbers\\\\\text{The sum of four times a number and five times another number is -28:}\\\\4x+5y=-28\\\\\text{The sum of nine times the first number and two times the second number is 11:}\\\\9x+2y=11\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}4x+5y=-28&\text{multiply both sides by2}\\9x+2y=11&\text{multiply both sides by (-5)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+10y=-56\\-45x-10y=-55\end{array}\right}\qquad\text{add both sides of the equation}$

$.\qquad-37x=-111\qquad\text{divide both sides by (-37)}\\.\qquad\qquad\boxed{x=3}\\\\\text{Put the value of x to the first equation:}\\\\4(3)+5y=-28\\12+5y=-28\qquad\text{subtrac 12 from both sides}\\5y=-40\qquad\text{divide both sides by 5}\\\boxed{y=-8}$

3 0

3 years ago

Simplify: –3(y + 2)2 – 5 + 6yWhat is the simplified product in standard form?

sweet-ann [11.9K]

Answer by Mimiwhatsup:

$\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6\\=-6\left(y+2\right)-5+6y\\-6\left(y+2\right)\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=-6,\:b=y,\:c=2\\=-6y+\left(-6\right)\cdot \:2\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-6y-6\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12\\=-6y-12\\=-6y-12-5+6y\\\mathrm{Simplify}\:-6y-12-5+6y\\Group\:like\:terms\\=-6y+6y-12-5\\\mathrm{Add\:similar\:elements:}\:-6y+6y=0\\=-12-5\\$

$\mathrm{Subtract\:the\:numbers:}\:-12-5=-17\\Answer is: =-17$

6 0

4 years ago

A farmer's land is separated into sections of size 2 1/5 acres. Suppose there are 2 2/9 such sections. How many acres of land do

Margarita [4]

Answer:

$\frac{44}{29}$

Step-by-step explanation:

The computation of the number of acres of land does the farmer owns is as follows:

Given that

the land of the farmer would be separated into size of $2 \frac{1}{5}$ acres

And, the sections would be $2 \frac{2}{9}$

So,

The number of acres would be

$= 2 \frac{1}{5} + 2 \frac{2}{9}\\\\= \frac{11}{5} + \frac{20}{29}$

Now just multiply the denominator and numerator straight across

$= \frac{11 \times 20 }{5 \times 29} \\\\= \frac{220}{145} \\\\= \frac{44}{29}$

7 0

3 years ago

Write an expression to represent the phrase, "6 of one thing plus half a dozen of the other"

yawa3891 [41]

'of' means multiply
half a dozen means 12/2=6

6 of one thing means 6 times x
plus means ad
half a dozen of another mean 6 times y

they are added

6x+6y

2 variables
it says 'of the other' so they are diferent

4 0

4 years ago

What is 16 divided by 1/4

Digiron [165]

The answer for this equation is 4

6 0

3 years ago

Read 2 more answers