MATHEMATICS HIGH SCHOOL

Are these ratios equivalent?18 children : 12 adults
16 children : 20 adults
yes
no

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

If product of mean = product of extreme, then ratios are equivalent.

18 : 12 :: 16:20

Product of mean = 12 * 16 = 192

Product of extreme = 18 * 20 = 360

Not equivalent ratios

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A large candy bar was 120 calories. Thesmaller candy bar has 16 percent less
calories. How many calories does the
smaller candy bar have?

Answers

The smaller chocolate bar has 100.8 calories. To find this multiply 120*0.16 to find the “16 percent less” which equals 19.2 less calories. Then subtract 19.2 from 120 to get 100.8

Hope this helps!

Answer: 119
The candy bar has 119 calories

Does the following graph represent a function?

Answers

Step-by-step explanation:

no.

in a function every x-value has exactly one associated y- value.

but this is clearly violated for x between about -4.5 and -3.5, where every x-value has 3 different associated y-values.

e.g. at x = -3, we get y = 0.5, -2 and -4.25.

Rachel is using grouping to find the factors of a quadratic expression. She has reached the step shown below. Determine the factored form and the standard form of the quadratic polynomial. Factored form: (3x - 4)(x + 2) Standard form: 3x2 + 2x - 8 Factored form: (3x + 2)(x + 4) Standard form: 3x2 + 2x + 8 Factored form: (3x - 2)(x - 4) Standard form: 3x2 - 2x - 8 Factored form: (3x + 4)(x - 2) Standard form: 3x2 - 2x + 8 Reset Submit Rewriting Expressions: P Unanswered

Answers

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

If the factored form is given by

$(3x-4)(x+2)$

Then its standard form will be given by

$(3x-4)(x+2)\n\n=3x^2+6x-4x+8\n\n=3x^2+2x+8$

if factored form is given by

$(3x+2)(x+4)$

Then its standard form will be given by

$(3x+2)(x+4)\n\n=3x^2+12x+2x+8\n\n=3x^2+14x+8$

Hence, only first option is correct.

Answer:

Factored form: (3x-4)(x+2)

Standard form: 3x^2+2x-8

Step-by-step explanation:

3x(x+2)-4(x+2)=(3x-4)(x+2)

3x(x+2)-4(x+2)=(3x^2+6x)-(4x+8)

=3x^2+6x-4x-8

=3x^2+2x-8

Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Answers

x-weigh of Ted
y-weigh of Julie
z-weigh of Mike

x=2y
z=3y
x+y+z=210lbs

2y+y+3y=210
6y=210 /:6
y=35 lbs
x=2y=2*35=70 lbs
z=3y=3*35=105 lbs

Which is a complete list of factors of each term in the expression 15 + 20x?

Answers

Answer:

Step-by-step explanation:

Our term is 15+20x

we can divide it to : 15 and 20x

15 : it can be divided by 1 , 3 , 5 , 15

so the factors are : (1,3,5,15)

20x : to make it easy start with 20

20 can be divided by : 1 , 2 , 4 ,5 ,10 , 20

then add x :

so the factors of 20 x are :

1 , 2 , 4 , 10 , 20 , x , 2x , 4x , 5x , 10 x , 20x

Answer:

15: 1, 3, 5, 15

20x: 1, 2, 4, 5, 10, 20, x ^_^

Step-by-step explanation:

What is the value of cose in the diagram below?

Answers

The value of cos θ is,

⇒ cos θ = 0.6

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos θ = 0.6

Learn more about the circle visit:

brainly.com/question/24810873

#SPJ7

Answer:

$cos \theta = 0.6$