All categories

4 years ago

2 fifths of a number is 14. what is the number?

1 answer:

6 0

In math

"of" means times (x)
"is" means equals (=)
"a number" is your unknown which you can call anything but we'll call x

2/5 of a number is 14

Translation...

2/5 * x = 14

Divide each side by 2/5 to isolate x. To divide a fraction, multiply the reciprocal of the divisor (flip the numerator and denominator).

x = 14 * 5/2
x = 70/2
x = 35

2/5 of 35 is 14.

You might be interested in

Can someone help me with this math problem

PSYCHO15rus [73]

Answer:

It is congruent to the angle F, as they are similar triangles.

3 0

2 years ago

I need help with this did I get this right

Roman55 [17]

I think the answer is C

6 0

3 years ago

Justify your reasoning

love history [14]

Answer:

Yes

Step-by-step explanation:

You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).

We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).

So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,

7 0

3 years ago

Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros. Write the function in sta

NeX [460]

Answer:

$f(x)=x^3+(3+\sqrt{5})x^2+(6\sqrt{5}-18)x$

$f(x)=x^3+3x^2+\sqrt{5}x^2-18x+6\sqrt{5}x$

Step-by-step explanation:

A polynomial function with 3 zeroes is going to be of degree 3, so we're going to have at least least 3 factors of the form $x-a$ , where a is a zero of the function. For three zeroes a, b, and c, we'd have the factors $x-a,\ x-b,$ and $x-c$ , making our function look like

$f(x)=(x-a)(x-b)(x-c)$

Substituting our roots for a, b, and c:

$f(x)=(x-(-6))(x-0)(x-(3-\sqrt{5}))\\=(x+6)(x)(x-3+\sqrt{5})$

To write this function in standard form, we can expand from left to right:

$f(x)=(x^2+6x)(x-3+\sqrt{5})\\=(x^2+6x)x-(x^2+6x)3+(x^2+6x)\sqrt{5}\\=x^3+6x^2-3x^2-18x+\sqrt{5}x^2+6\sqrt{5}x\\=x^3+3x^2+\sqrt{5}x^2-18x+6\sqrt{5}x$

At this point, we could either leave it as is, or group the coefficients for the $x^2$ and $x$ terms to get

$f(x)=x^3+(3+\sqrt{5})x^2+(6\sqrt{5}-18)x$

7 0

4 years ago

The number of words carla can type varies directly with the number of minutes she types. carla can type 114 words in 3 minutes.

Orlov [11]

114 words /3 minutes = 38 words/minute

The amount of words she can type per minute is directly related to the number of minutes she types. So it is a linear equation.

y = 38 * x

In three minutes (x = 3), y = 114 words.

7 0

4 years ago