All categories

3 years ago

Sam is 4 times as old as Allie. Write an equation to model this situation.

2 answers:

7 0

Hi there!

Your answer is A, S=4A. S is representing Sam's age and the 4 is representing how many times older Sam is than Allie. Allie is represented by the variable A.

Notice I said "4 is representing how many times older Sam is than Allie."
A variable next to a number means to multiply, and times =multiply. Isn't the 4 next to the A?

Hope this helps!

Rzqust [24]3 years ago

5 0

The answer is A. S= 4A. Sam = Allie x 4

You might be interested in

PLS HELP ! Will give brainliest!

Rasek [7]

Given:

The quadratic equation is :

$16x^2-20x-6=0$

To find:

The quadratic formula for the given equation after substituting the values.

Solution:

If a quadratic equation is $ax^2+bx+c=0$ , then the quadratic formula is:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have,

$16x^2-20x-6=0$

In this equation, $a=16,b=-20,c=-6$ .

Substituting $a=16,b=-20,c=-6$ in the above formula, we get

$x=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(16)(-6)}}{2(16)}$

Therefore, the required quadratic formula for the given equation after substituting the values is $x=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(16)(-6)}}{2(16)}$ .

3 0

3 years ago

100 POINTS+BRAINLIEST: 8TH GRADE MATH PT 3- Write equations by simplifying polynomials Tyyy

d1i1m1o1n [39]

Answer:

d. 3x + 6 = 26

Step-by-step explanation:

Definitions

Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
Even number: an integer that is exactly divisible by two. For example, 2, 4, 6, 8 are all positive even numbers.
Consecutive: following one after the other in order.

The sum of three consecutive even integers

Let x be the first even integer.

As there is a difference of 2 between consecutive even integers, the next even integer after x will be (x + 2).

Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive even integers is twenty-six" is:

x + (x + 2) + (x + 4) = 26

To solve

⇒ x + (x + 2) + (x + 4) = 26

⇒ x + x + 2 + x + 4 = 26

⇒ 3x + 6 = 26

(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).

7 0

2 years ago

Read 2 more answers

Problem page the longer leg of a right triangle is 1ft longer than the shorter leg. the hypotenuse is 9ft longer than the shorte

LenKa [72]

Hello,

To solve this problem we want to use the Pythagorean Theorem.
The pythagorean theorem states that for a 90° triangle,

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

where a and b represent the two legs of the triangle, and c represents the hypotenuse.

Let a = the longer leg and b = the shorter leg.
If the longer leg of the triangle is 1 foot longer than the shorter leg, then
a = b +1.

If the hypotenuse is 9 feet longer than the shorter leg, then c = b + 9.
Using the equations we created, we can plug them into the Pythagorean Theorem to solve for a, b, and c.

Doing this, we have:
$a^{2} + b^{2} = c^{2}$
$(b+1)^{2} + b = (b+9)^{2}$

Expanding this, we get $b^{2} + 2b + 1 + b^{2} = b^{2} + 18b + 81

 2b^{2} + 2b + 1 = b^{2} + 18b + 81

 b^{2} + 1 = 16b + 81

 b^{2} = 16b + 80
 
b^{2} - 16b - 80 = 0

$

Solving for b, we get b = 20, and b = -4.
The length of the side of a triangle cannot be negative, so we know that b = 20.

However, we should check this with the original question to make sure it checks out.

a = b + 1
a = 20 + 1 = 21

c = b + 9
c = 20 + 9 = 29

So, we have a = 21, b = 20, and c = 29. (Also, 20-21-29 is a well known Pythagorean triple)
Using the Pythagorean Theorem, we have:

$21^{2} + 20^{2} = 29^{2}$
441 + 400 = 841
841 = 841, checks out.

So, the shorter leg is 20 feet, the longer leg is 21 feet, and the hypotenuse is 29 feet.

Hope this helps!

7 0

3 years ago

359 +314= <img src="https://tex.z-dn.net/?f=359%20%2B%20314" id="TexFormula1" title="359 + 314" alt="359 + 314" align="absmid

vlabodo [156]

The correct answer is 673
9+4= 13
5 turns into a 6 so it’s 6+1 = 7
3+3 = 9

6 0

3 years ago

-19+3x-11+2x=2 What the answer

Vladimir [108]

Answer:

Step-by-step explanation:

x = 32/5

Decimal Form:

x = 6.4

Mixed Number Form:

x = 6 2\5

8 0

3 years ago

Read 2 more answers