MATHEMATICS HIGH SCHOOL

10 + X/3 = 13 what does The X Equal to?

Answers

Answer 1

Answer:

Answer:

X = 9

Step-by-step explanation:

In this question we have provided an equation that is 10+X/3 =13. And we're asked to find the value ofX .

Solution:-

$\longmapsto \qquad \: 10 + (X)/(3) = 13$

Step 1: Multiplying with 3 on both sides :

$\longmapsto \qquad \:(10 + (X)/(3) ) * 3=13*3$

Now by using distributive property multiplying 3 with 10 as well as X/3 :

$\longmapsto \qquad \: (10 * 3) + ( \frac{X}{ \cancel{3}} * \cancel{3}) = 13 * 3$

On calculating further , We get :

$\longmapsto \qquad \: 30 + X = 39$

Step 2: Subtracting with 30 on both sides :

$\longmapsto \qquad \: \cancel{30} + X - \cancel{30} = 39 - 30$

On calculating further , We get :

$\longmapsto \qquad \: \purple {\underline{{\boxed{\frak{X= 9}}}}}$

Henceforth,value ofX is9.

Verifying:-

Now we are checking whether our answer is correct or wrong by substituting values of x in given equation . So ,

10 + X/3 = 13

10 + 9/3 = 13

10 + 3 = 13

13 = 13

L.H.S = R.H.S

Hence , Verified .

Therefore,our value for x is correct.

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Answer 2

Answer:

Answer:

$\Large{\boxed{\sf x = 9}}$

$\n$

Explanation:

Given equation:

$\sf 10 + (x)/(3) = 13$

$\n$

Subtract 10 from both sides:

$\sf 10 + (x)/(3) - 10 = 13 - 10 \n \n \sf (x)/(3) = 3$

$\n$

Multiply both sides by 3:

$\sf 3 * (x)/(3) = 3 * 3 \n \n \n \boxed{\boxed{\sf x = 9}}$

$\n \n$

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A total of $8000 is invested: part at 7% and the remainder at11%. How much is invested at each rate if the annual interest is $760?

Answers

1.) .07x + .11y = 760
2.) x + y=8000

we can solve the second equation for either x or y

y= 8000 - x
or
x=8000 - y

plug 1 of those in to equation 1 (I'll use y=8000 -x)

.07x + .11(8000 -x) = 760

.07x + 880 - .11x = 760

-.04x +880 = 760

-.04x = -120

x=3000

So 3000 is invested in 7%
5000 is invested in 11%

Check

(3000 x .07) + (5000 x .11) = 720

210 + 550 = 760

Success!

HURRY Am I correct is it reduction or enlightenment will mark brainlest!
I picked reduction

Answers

Answer:To determine if the dashed triangle is a dilation image of the solid triangle with the center at the origin, and whether it is an enlargement or a reduction, we need to compare the corresponding side lengths of the triangles.

Given that the dashed triangle has vertices A'(-8, -12), B'(8, 12), and D'(-4, 16), let's calculate the side lengths of the solid triangle and the dashed triangle.

1. Solid triangle side lengths:

- Side AB: Distance between A(4, 6) and B(-4, -6)

AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((-4 - 4)^2 + (-6 - 6)^2)

= sqrt((-8)^2 + (-12)^2)

= sqrt(64 + 144)

= sqrt(208)

2. Dashed triangle side lengths:

- Side A'B': Distance between A'(-8, -12) and B'(8, 12)

A'B' = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((8 - (-8))^2 + (12 - (-12))^2)

= sqrt((16)^2 + (24)^2)

= sqrt(256 + 576)

= sqrt(832)

Comparing the side lengths, we have sqrt(832) for the dashed triangle and sqrt(208) for the solid triangle.

Since sqrt(832) is greater than sqrt(208), this means the dashed triangle is larger than the solid triangle.

Therefore, the dashed triangle is an enlargement.

The correct answer is "enlargement."

Please let me know if there's anything else I can help you with.

Step-by-step explanation:

Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard. The circumference of the circle is 75.36 cm. What is the diameter? (Use 3.14 for .)

Answers

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

$C =2\pi r$

where r is the radius of the circle.

Putting values, we get,

$75.36 = 2* 3.14* r\n\nr = (75.36)/(2* 3.14)\n\nr=12$

Diameter of circle =

$d=2r\nd=2* 12=24\text{ cm}$

Thus, the diameter of circle is 24 cm.

An airplane flew for 8 hours at an airspeed of x miles per hour (mph), and for 7 more hours at 325 mph. If the average airspeed for the entire flight was 350 mph, which of the following equations could be used to find x ? A. x + 325 = 2(350)
B. x + 7(325) = 15(350)
C. 8x – 7(325) = 350
D. 8x + 7(325) = 2(350)
E. 8x + 7(325) = 15(350)

Answers

E. 8x+7(325)=15(325)

It would include the 8 hrs. of x miles per hour and the 7 hrs. of 325 miles per hour, giving the total miles. Then, as you eliminate, you can find out what (x) is.

Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent this situation, where x represents Oscar’s age.

Answers

Let Oscar be x years old
Lois is x+3 years old

ATQ

$\n \sf\longmapsto x+x+3\leqslant 20$

$\n \sf\longmapsto 2x+3\leqslant 20$

$\n \sf\longmapsto 2x\leqslant=17$

$\n \sf\longmapsto x\leqslant (17)/(2)$

Answer:

let Oscar's years be x

• Oscar → x

• Lois → (x+3)

${ \rm{x + (x + 3) \leqslant 20}} \n \n { \boxed{ \rm{2x + 3 \leqslant 20}} }$

All circles are similar to each other.
a. True
b. False

Answers

Answer:

The correct option is a.

Step-by-step explanation:

The given statement is all circles are similar to each other.

A circle is the set of points in a plane that are equidistant from a given point which is known as circle.

Two figures are similar if their corresponding sides are proportional.

Circles are completely dependent on its radius. The radius of any two circles are proportional for any point on the circles.

The statement "All circles are similar to each other" is true.

Therefore the correct option is a.

The statement "All circles are similar to each other" is true.

We know that,

Circles are a type of geometric shape with unique properties that set them apart from other shapes.

The defining feature of a circle is its set of points that are equidistant from a fixed point, known as the center.

This means that circles have a constant diameter and radii, regardless of their size.

Additionally, a circle's circumference is always proportional to its diameter, which is represented by the mathematical constant π.

Due to these consistent properties, all circles are considered to be similar to each other.

This means that any two circles have the same shape, but may differ in size.

Hence,

The statement that all circles are similar to each other is a fundamental truth in geometry and mathematics.

Learn more about the circle visit:

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