Pudding has 120 calories in 2 ounces. How many calories are in 8 ounces of the pudding?

-x + 5y = 13 x - y = 15

aivan3 [116]

Answer:

x-y-15=15-15

x-y-15=0

hope this helps :)

3 0

3 years ago

Read 2 more answers

The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme

kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

= 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ $A=P(1+\frac{r}{100} )^n$

On substituting the values, we get

⇒ $100000=76000(1+\frac{6.2}{100} )^n$

⇒ $(1+0.062)^n=\frac{100}{76}$

On taking log both sides, we get

⇒ $n \ log_e(1.062)=log_e(\frac{100}{76} )$

⇒ $n=\frac{ln(\frac{100}{76} )}{ln(1.062)}$

By putting the values of log, we get

⇒ $=4.5622$

or,

⇒ $=4.6$

5 0

3 years ago

Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.

Llana [10]

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

${c}^{2} = {a}^{2} + {b}^{2}$

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

${hypo.}^{2} = {12}^{2} + {9}^{2}$

${hypo.}^{2} = 225$

$hypo. = \sqrt{225}$

$hypo. = 15 \: \: units$

We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :

$radius = diameter \div 2$

$radius = 15 \div 2$

$radius = 7.5 \: \: units$

6 0

3 years ago

△ABC∼△DEF , △ABC has a height of 14 centimeters, and △DEF has a height of 6 centimeters. What is the ratio of the area of △ABC t

Kamila [148]

Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9

8 0

4 years ago

Read 2 more answers

C+-c=0 Identity Property Associative Property Communtative Property Inverse Property

Zanzabum

Answer:

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7 0

3 years ago