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3 years ago

10.) A meat shop sold 4 1/6 pounds of sausage and 4 times as much burger as sausages. How

Mathematics

1 answer:

meriva3 years ago

6 0

16 2/3

you just need to multiply 4 1/6 by 4

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The longer leg of a right triangle is 6cm longer than the shorter leg and also 1cm longer than the hyptenese. find the perimeter

CaHeK987 [17]

X - a leg (x > 6);
x - 6 - a leg;
x + 1 - a <span>hypotenuse;</span>
Use the Pythagorean theorem
$(x+1)^2=x^2+(x-6)^2$

Use: $(a\pm b)^2=a^2\pm2ab+b^2$

$x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}$

$x=7+\sqrt{14}\\x-6=1+\sqrt{14}\\x+1=8+\sqrt{14}$

The perimeter:

$7+\sqrt{14}+1+\sqrt{14}+8+\sqrt{14}=16+3\sqrt{14}$

5 0

3 years ago

Need help on math You have a meal at a restaurant. The sale tax is 8% . You leave a tip for the waitress that is 20% of the pret

DerKrebs [107]

Answer: $18

Step-by-step explanation:

Let x= Pretax price of the meal.

Given: Sales tax = 8%

Tip percent = 20%

As per given ,

Amount spent = ( Pretax price) + (Sales tax ) of (Pretax price) + (Tip percent)of (Pretax price)

= x+ 8% of x + 20% of x

= x +0.08+0.20x

= 1.28x

∵ Amount spent = $23.04

So,

$1.28x=23.04\\\\\Rightarrow\ x=\dfrac{23.04}{1.28}\\\\\Rightarrow\ x=18$

Hence, the pretax price of the meal= $18.

4 0

3 years ago

Molly and James tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in t

Katyanochek1 [597]

Add all the numbers then divde by how many numbers there are so the total divde by 8

5 0

3 years ago

Please need help on this

artcher [175]

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation $(x-h)^2 + (y-k)^2 = r^2$ and is (h,k) from it. Notice h and k are the opposite value as in the equation.

First write the equation in this form.

$x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0$

Complete the square with each variable to find what numbers should go in place of the question marks.

$(8/2)^2 = 4^2 = 16$

$(-14/2)^2 = -7^2 = 49$

Add 16 and 49 to both sides of the equation.

$x^2 + 8x + 16 + y^2 - 14y + 49 + 56 = 16 + 49\\(x+4)^2 + (y-7)^2 + 56 = 65\\(x+4)^2 + (y-7)^2 = 9$

So the center is (-4,7) and the radius is 3.

5 0

3 years ago

Soooo Hard<br> Please someone help me

Alisiya [41]

$\frac{1}{2} ( \frac{2}{3} + \frac{3}{4}) \\ = \frac{1}{2} ( \frac{2 \times 4}{3 \times 4} + \frac{3 \times 3}{4 \times 3} ) \\ = \frac{1}{2} ( \frac{8}{12} + \frac{9}{12} ) \\ = \frac{1}{2} ( \frac{8 + 9}{12} ) \\ = \frac{1}{2} ( \frac{17}{12} ) \\ = \frac{1 \times 17}{2 \times 12} \\ = \frac{17}{24}$
The answer is 17/24

8 0

3 years ago