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Alex
3 years ago
8

Ten times the square of a non-zero number is equal to sixty times the number.

Mathematics
2 answers:
Kamila [148]3 years ago
8 0

Answer:

The number is 6

Step-by-step explanation:

This is a word problem and we must tackle it as such

Let's begin by translating it into mathematical expressions then solve the problem

Firstly

1.Let say the number is x

2.The square of the number is x²

3.Now 10 times the number is 10x²

4. 60 times the number is 60x

Now equating item 3 and 4 as stated by the problem is a gateway to our solution

Therefore

10x²=60x

Dividing both sides by x

We have

10x²/x=60x/x

10x=60

Dividing both sides by 10 we have

x=60/10

x=6

Mice21 [21]3 years ago
7 0
Let x be the nonzero number.
10 x^{2} =60x \\  \frac{1}{10x}(10 x^{2} =60x) \\ x=6
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Help!!!!!<br> factor 3^2+15x-42
nydimaria [60]

Answer:

3(5x−11)

Step-by-step explanation:

32+15x−42

15x−33

=3(5x−11)

8 0
2 years ago
HELP ME RN PLEASEEEE<br> [WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]
VMariaS [17]

Answer:

\boxed {\boxed {\sf d= \sqrt{34}}}

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

  • x₁= -2
  • y₁= -1
  • x₂= 3
  • y₂= 2

Substitute the values into the formula.

d= \sqrt {(-2-3)^2+(2--1)^2

Solve the parentheses.

  • -2 -3 = -5
  • 2--1 = 2+ 1 = 3

d= \sqrt{(-5)^2+(3)^2

Solve the exponents.

  • (-5)²= -5*-5= 25
  • (3)²= 3*3=9

d= \sqrt{25+9}

Add.

d= \sqrt{34}

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.

6 0
2 years ago
Read 2 more answers
Please help me i don't know what to do <br> please show your work
Diano4ka-milaya [45]
<h3>Distributive Property</h3>

The distributive property lets you group or ungroup terms using parentheses. It lets you multiply an external factor by every term in parentheses, expressing the result as a sum:

... a(b + c) = ab + ac . . . . . . factor <em>a</em> multiplies the terms <em>b</em> and <em>c</em>

and it lets you remove a common factor from different terms, putting that factor outside parentheses:

... ab + ac = a(b + c)

The letters <em>a</em>, <em>b</em>, <em>c</em> here can stand for any number or expression.

<h3>Homework</h3>

20. To do this problem, you need to eliminate the parentheses using the distributive property. Then, "collect terms," which is another application of the distributive property. The external factor outside the parentheses is (-2/3). Multiply that by each term in parentheses, and add the results.

After that, recognize that c is a factor of two of the terms. Add their coefficients to simplify that sum to one term.

-\dfrac{2}{3}(12c-9)+14c=\left(-\dfrac{2}{3}\right)(12c)+\left(-\dfrac{2}{3}\right)(-9)+14c=-8c+6+14c\\\\=c(-8+14)+6\\\\=6c+6

22. You are to evaluate the expression with x=2 two ways: as is, and after you simplify it by combining like terms.

<u>As is:</u>

-8x+5-2x-4+5x\\=-8(2)+5-2(2)-4+5(2)\\=-16+5-4-4+10\\=-9

<u>Simplified:</u>

-8x+5-2x-4+5x\\=x(-8-2+5)+(5-4)=-5x+1\\=-5(2)+1=-10+1\\=-9

I prefer simplifying the expression first. The number of calculations and chances for error are reduced.

23. It is convenient to check for equivalence after simplifying both expressions.

<u>First Expression:</u>

8x^2+3\left(x^2+y\right)=8x^2+3x^2+3y=11x^2+3y

<u>Second Expression:</u>

7x^2+7y +4x^2-4y=(7+4)x^2+(7-4)y=11x^2+3y

The simplified forms of the expressions are identical, so we conclude the expressions are equivalent.

25. The area of a rectangle is the product of its length and width. Here, you are asked to simplify the product of (3+x) ft and 3 ft.

((3+x)\,\text{ft})(3\,\text{ft})=(3\,\text{ft})\cdot (3\,\text{ft})+(x\,\text{ft})\cdot (3\,\text{ft})=9\,\text{ft}^2+3x\,\text{ft}^2\\\\=(3x+9)\,\text{ft}^2

In the last form of this expression, we have used "standard form" which has the degree of the variable decreasing in terms left to right. The units are factored out to make the expression a bit less cumbersome.

3 0
3 years ago
Read 2 more answers
Find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°​
kati45 [8]

Answer:

(190-5a)°

Step-by-step explanation:

Sum of internal angles of a triangle equals to 180°

If the third angle is x, then we have:

  • (2a-32)°+(3a+22)° +x = 180°
  • (5a- 10)° +x= 180°
  • x= (180+10-5a)°
  • x= (190-5a)°

The third angle is: (190-5a)°

6 0
3 years ago
Mr. kasberg rides his bike at 6 mph to the bus station. he then rides the bus to work, averaging 30 mph. if he spends 20 minutes
SIZIF [17.4K]
Convert 20 min to hrs: 20/60 = 1/3 hr
Let t = time on the bikethent-(1/3) = time on the bus
Write a dist equation Dist = speed * time:Bike dist + bus dist = 26 mi6t + 30[t-(1/3)] = 26:6t + 30t - 10 = 2636t = 26 + 1036t = 36t = 1 hr on the bike
6 mph for 1 h = 6 mi from house to the bus station
Check solution by finding the distance6(1) + 30(2/3) =6 + 20 = 26 mi                       
4 0
3 years ago
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