[tex]\frac{-4}{5}x +7=-13[/tex] Find the value of x

Answer:

Jon is 10 years old

Step-by-step explanation:

This is solved using linear equations. We use the information given to make equations.

Let's use K for Kylie, E for Ellie, and J for Jon:

K = E + 5

K = J x 3

Now, we rearrange these equations so that K is on the right side:

E = K - 5

J = K/3

Now, with only one variable, we make a new equation:

K + (K - 5) +  (K/3) = 65

Simplify:

2K - 5 + K/3 = 65

Isolate k:

[tex]\frac{7k}{3}-15=65(3) = 195\\7k=196+15=210\\k = \frac{210}{7}=30[/tex]

Now we can plug K in to find Jon's age:

J = K/3

J = 30/3

J = 10

If Kylie is 5 years older than Ellie and triple Jon's age. If the sum of their ages is 65 then Jon is 12 years old.

Let's assume Jon's age is "J" years.

According to the given information:

1. Kylie is 5 years older than Ellie, so Ellie's age is "J + 5" years.

2. Kylie's age is triple Jon's age, so Kylie's age is "3J" years.

The sum of their ages is 65, so we can set up the equation:

J + (J + 5) + 3J = 65

Now, combine like terms:

5J + 5 = 65

Next, isolate "5J" by subtracting 5 from both sides of the equation:

5J = 65 - 5

5J = 60

Now, divide both sides by 5 to find the value of "J":

J = 60 / 5

J = 12

So, Jon is 12 years old.

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Answer:

48 inches.

Step-by-step explanation:

The triangle is an isoscele triangle.

An isosceles triangle is a triangle with two sides of the same length.

h is opposite of the other side of 48 inches and judging by the picture, it looks exactly the same, therefore the answer is 48 inches.

Answer:

48 inches

Step-by-step explanation:

the guy a bouve me is right

Answer:

its y=x-2

Step-by-step explanation:

If you do -3-2=-5 and if you keep applying that rule you will find that it equals y.

The option that represents the matching representation of the function table is; B: y = x - 2

From the function table given, we see that;

At x = -3, y = -5

At x = -1, y = -3

At x = 0, y = -2

At x = 4, y = 2

At x = 7, y = 5

Looking at the options, the correct one is Option B which is;

y = x - 2

This is because it is the only one that produces all the correct output values of y for corresponding input values of x.

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Answer:

Step-by-step explanation:

199.6  liter of oil

Answer:

No

Step-by-step explanation:

The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.

Answer:

y = x - 2 i think. Im sorry if im wrong..

kaii~

Answer: X, Y, X

Step-by-step explanation: If the x term becomes negative it was over the y axis, if the y term becomes negative it was over the x axis

Answer: 4 packs of blue, 3 packs of red.

Step-by-step explanation:

All you need to do is find the LCM which is 24, then divide. 24/8=3, and 24/6=4.

Answer:

(-5,7)- Quadrant 2

(8 1/2,-4)- Quadrant 4

(0,5)-y axis

Step-by-step explanation:

Step 1:  Determine where the point lies

(-5, 7) has a negative x value which means that it's either in the second or third quadrant.  Now looking at the y value and it being positive we know that we are in the second quadrant.

(8.5, -4) has a positive x value which means that it's either in the first or fourth quadrant.  Now looking at the y value and it being negative we know that we are in the fourth quadrant.

(0, 5) has a x value of 0 which means that our point lies on the y-axis.

Answer:

B. 5 : 21

Step-by-step explanation:

Vowels: a, e, i, o, u= 5 vowels

Constants: b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z: 21 constants

v : c

5 : 21

Answer:

5:21

Step-by-step explanation:

There is 5 vowels in the alphabet.

There is 21 consonant in the alphabet.

So it is 5:21

Answer:

4 hours

Step-by-step explanation:

If the train travels at ~80 kilometers per hour, you just divide the total distance (in this case, 320 kilometers) by the speed traveled (80 kilometers). 320/80 = 4 hours.

Answer:

136

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16= 136

Answer:

Whenever I hear Statistics I think of numbers and the different probabilities

and I also sometimes think of numbers but overall, it depends on the sense of how it is being talked about I hear it about/the subject when people talk about statistics.

Hope this helps!

Answer:

this is a 45 angle in the picture i hope this helps

Step-by-step explanation:

Step-by-step explanation:The given graph is a line graph, represents increasing and decreasing rainfall in six different years.The given graph misleads ,in terms of length, when amount of rainfall 4.6-3.9 is plotted with six different years 2006-2011. When rainfall decreases from 4.5 to 4.4, the decrease , in length of rectangle is less,should be equal, in comparison to when year increases from 2006 to 2007. It must be in the shape of Square.
Part B if instead of line graph, we will draw bar graph ,representing Amount of rainfall(4.5-3.0) on y axis in the month of July, to 6 different years from (2006-2011) on x axis,i think it will be least misleading.

Answer:

A is correct.

Explanation:

Given: (7,5) where (x, y)

Identify:

x = 7

y = 5

Go 7 units through x-axis, then move up 5 units along the y-axis.

Answer:

An address on a coordinate plane is made up of an x value and a y value that correspond to the x- and y-axes. This "address" is called a coordinate point, and is written in the form: (x,y). So, you would need to move 7 spaces right and 5 spaces up.

Hope this helps

Answer:

15.75

Step-by-step explanation:

first add

12+25+16+9+5+22+27+20=126

then divide by how ever many numbers there are in this case there's 8:

126÷8=15.75

Answer:

Its simple,

Its 1/2

Step-by-step explanation:

Because both odd and equal numbers are on a fair die,

The numbers on the die are 1 to 6

So 3 numbers are odd and they are 1,3,and 5

And the rest are even so....

Even = 3/6

Odd =3/6

So the answer is either 0.5 or

1/2

Answer:

x=6,y=4 equation form

or

(6,4) point form

Step-by-step explanation:

Answer:

dependent variable = g = gallons of water in pool

independent variable = m

g is dependent on the value of m

Step-by-step explanation:

Answer:

[tex]155 in^{2}[/tex]

Step-by-step explanation:

Hope this work helps

Answer:

Step-by-step explanation: <

Answer:

  (b)  1/3

Step-by-step explanation:

A function "zero" is a value of x that makes the value of the function be zero. It may also be called a "root" of the function. On a graph, it is an x-intercept.

The zeros are the solutions to the equation f(x) = 0. For a quadratic like the one given, there are two of them. For this function, they are distinct, so one will be larger than the other.

There are a number of ways the solutions to this equation can be found. Technology, in the form of a graphing calculator, can show you the x-intercepts easily (see attached). They are x=-2/5 and x=1/3.

We can also factor the equation. Doing this requires that we find factors of the product (15)(-2) = -30 that have a sum equal to the coefficient of x, +1. Here are some factor pairs:

  -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The corresponding sums are 29, 13, 7, 1. Hence the last factor pair, {-5, 6}, is the one we need.

Rewriting the 3-term polynomial to a 4-term polynomial by splitting the middle term using these factors, we have ...

  15x² -5x +6x -2 = 0

Factoring pairs of terms gives ...

  5x(3x -1) +2(3x -1) = 0

  (5x +2)(3x -1) = 0 . . . . . . . factor out the common factor

The product of these factors can only be zero of one of them is zero. (This is the "zero product rule.") Setting the factors to zero, we find the values of x that make f(x) = 0: the zeros of the function.

  5x +2 = 0   ⇒   x = -2/5

  3x -1 = 0   ⇒   x = 1/3

The zeros of the function are -2/5 and 1/3.

The larger zero is 1/3.

The area of  5 circles and 10 semicircles and 100 quarter circles stones which has the 10 inches radius is 10995.6 in².

The area of the circle is the space occupied by it. It can be given as,

A=πr²

Here, (r) is the radius of the circle.

The radius of one stone is 10 inches. Thus, the area of one circular stone is,

A=πr²

A=π(10)²

A=314.16 in².

There are total 5 circles and 10 semicircles and 100 quarter circles.  The area of 5 circle is,

A=5 x 314.16 in²

A=1570.8  in².

The area of circle is twice the area of semicircle and 4 times the area of quarter circle. Thus the area of 10 semicircle and 100 quarter circles is,

A(semicircle)=(10 x 314.16 in² )/2=1570.8  in².

A(quarter circle)= (100x 314.16 in² )/4=7854 in².

The total area is,

A=1570.8  +1570.8 +7854

A=10995.6 in².

Thus, the area of  5 circles and 10 semicircles and 100 quarter circles stones which has the 10 inches radius is 10995.6 in².

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Fractions are parts of a number. Decimals are fractions whose denominators are powers of 10. Percents are numbers out of 100. Therefore, you convert a fraction to a decimal, follow these steps:

[tex]3\frac{1}{4} = \frac{13}{4} = \frac{325}{100}[/tex]

[tex]\frac{325}{100}[/tex] = 3.25

3.25 × 100 = 325%

Your answer is D

Step-by-step explanation:

The semi-perimeter is:

s = (a + b + c) / 2

= (10 + 24 + 26) / 2

= 47

We will find the area of the triangle using the Heron's formula.

A = √[s (s - a) (s - b) (s - c)]

= √[47 (47 - 10) (47- 24) (47 - 26)]

= √10 × 37 × 23 × 21

= √ 56513

Answer:

45

Step-by-step explanation:

1 minute = 8 revolutions

x minutes= 360 revolutions

Divide 360 by 8

45

The wheel will make 360 revolutions in 45 minutes

Check your work:

If 45 minutes = 360 revolutions, and the wheel revolves 8 times per 1 minute, 8 revolutions x 45 minutes should equal 360 revolutions.

(it does)

Answer: Please give all parts of the question. 1a and 1b

Step-by-step explanation: