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2 years ago

There are 18 packets of sweets and 12 boxes of sweets in a carton.

Mathematics

1 answer:

olga55 [171]2 years ago

8 0

Answer:

the mean of the number of sweets in the boxes is 20

Step-by-step explanation:

that is the solution above

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What is the value of x? Round to the nearest tenth. Please Help

Elodia [21]

Answer:

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm$

Substitute:

$x^2+20.2^2=(14.7+x)^2$ use (a + b)² = a² + 2ab + b²

$x^2+408.04=14.7^2+(2)(14.7)(x)+x^2$ subtract x² from both sides

$408.04=216.09+29.4x$ subtract 216.09 from both sides

$191.95=29.4x$ divide both sides by 29.4

$x\approx6.5\ cm$

7 0

4 years ago

What is the slope of the line shown?

Anarel [89]

Hello!

$\large\boxed{Slope = -\frac{1}{2}}$

Use the slope formula along with provided points to solve for the slope.

We can use the points (-4, -1) and (0, -3) and plug these values into the equation:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{-3-(-1)}{0-(-4)} \\\\m = \frac{-2}{4} \\\\m = -\frac{1}{2}$

4 0

3 years ago

Read 2 more answers

Can anyone help me with my math i'm really behind on it.

statuscvo [17]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How do I factor out a constant before factoring out a quadratic? Factor completely: 3w^2-3w-90

pantera1 [17]

$3w^2-3w-90 =0 \ \ \:3 \\ \\w^2- w-30 =0 \\ \\a=1 , \ b= -1 , c= -30 \\ \\\Delta =b^2-4ac = (-1)^2 -4\cdot1\cdot (-30) =1+120=121 \\ \\w_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{1-\sqrt{121}}{2 }=\frac{ 1-11}{2}=\frac{-10}{2}=-5$

$w_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{1+\sqrt{121}}{2 }=\frac{ 1+11}{2}=\frac{12}{2}=6 \\ \\ Answer:\\ \\ w^2- w-30 =(x+5)(x-6)$

3 0

3 years ago

Solve –15 = 4m – 7. –32 2 –12 –2

Shkiper50 [21]

Answer:

-2 =m

Step-by-step explanation:

–15 = 4m – 7

Add 7 to each side

–15+7 = 4m – 7+7

-8 = 4m

Divide each side by 4

-8/4 = 4m/4

-2 =m

4 0

3 years ago