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storchak [24]
3 years ago
8

Which correctly completes this number sentence?

Mathematics
2 answers:
mamaluj [8]3 years ago
5 0
First w have to figure out the solution o the right side of the equation
So (insert long line here) = 8+32

We simplify it
(Insert long line here) = 40
So, you hen ask yourself what options are equal to 40 ( which is the second option)

Option b
valkas [14]3 years ago
4 0

Answer:

40

Step-by-step explanation:

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Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 30 minutes for the la
Anuta_ua [19.1K]

Answer:

60 minutes for the larger hose to fill the swimming pool by itself

Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

takes 30 minutes for the larger hose to fill the swimming pool by itself

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

<u>To find LCM of 20 and 30</u>

LCM (20, 30) = 60

<u>To find the efficiency </u>

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

x = 60/30 =2

x + y = 60 /20 = 3

Therefore efficiency of y = (x + y) - x =3 - 2 = 1

so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes

8 0
3 years ago
Find the inverse of the following function. f(x) =^3squareroot x + 12<br><br> I NEED AN ANSWER NOWW
makkiz [27]

Answer:

(x - 12)²/9

Step-by-step explanation:

y = 3sqr(x) + 12

Make x the subject:

y - 12 = 3sqrt(x)

(y - 12)/3 = sqrt(x)

Square both sides

(y - 12)²/9 = x

Interswitch variables

inverse function is:

(x - 12)²/9

If f(x) = (x + 12)^⅓

Then,

y = (x + 12)⅓

y³ = x + 12

y³ - 12 = x

f inverse:

x³ - 12

3 0
3 years ago
Read 2 more answers
Complete the simplified ratio:<br> 0.2 : 3.75
sesenic [268]

Answer:

1: 18.75

Step-by-step explanation:

We multiply both sides by 5.

4 0
3 years ago
Read 2 more answers
PLEASE HELP IM BEING TIMED I WILL MARK BRAINLY
vesna_86 [32]

We don't have the scatter plot

8 0
3 years ago
The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.
andrezito [222]

Answer:

Given the equation: 3x^2+10x+c =0

A quadratic equation is in the form: ax^2+bx+c = 0 where a, b ,c are the coefficient and a≠0 then the solution is given by :

x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a} ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}

Simplify:

x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}

Also, it is given that the difference of two roots of the given equation is 4\frac{2}{3} = \frac{14}{3}

i.e,

x_1 -x_2 = \frac{14}{3}

Here,

x_1 = \frac{-10 + \sqrt{100- 12c}}{6} ,     ......[2]

x_2= \frac{-10 - \sqrt{100- 12c}}{6}       .....[3]

then;

\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}

simplify:

\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}

or

\sqrt{100- 12c} = 14

Squaring both sides we get;

100-12c = 196

Subtract 100 from both sides, we get

100-12c -100= 196-100

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve x_1 , x_2

x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}

or

x_1 = \frac{-10 + \sqrt{100- 96}}{6} or

x_1 = \frac{-10 + \sqrt{4}}{6}

Simplify:

x_1 = \frac{-4}{3}

Now, to solve for x_2 ;

x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}

or

x_2 = \frac{-10 - \sqrt{100- 96}}{6} or

x_2 = \frac{-10 - \sqrt{4}}{6}

Simplify:

x_2 = -2

therefore, the solution for the given equation is: -\frac{4}{3} and -2.


3 0
3 years ago
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