solve for x using the figure to the right​

Answer:

You can buy 6 bottles of paint if you buy 3 tubs of clay

Step-by-step explanation:

2x+6(3)=30 is 2x+18=30

30-18=12

12/2=6

The system of equation is solved and the x-intercept is (15, 0) and y-intercept is (0, 5)

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To graph the equation 2x + 6y = 30, we need to rewrite it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept

2x + 6y = 30

6y = -2x + 30

y = (-2/6)x + 5

y = (-1/3)x + 5

To interpret the intercepts, we look at the x-intercept and y-intercept of the graph

X-intercept: To find the x-intercept, we set y = 0 and solve for x

y = (-1/3)x + 5

0 = (-1/3)x + 5

(-1/3)x = -5

x = (-5) / (-1/3)

x = 15

The x-intercept is (15, 0), which means that when y = 0, we can buy 15 bottles of paint and no tubs of clay with the available $30

Y-intercept: To find the y-intercept, we set x = 0 and solve for y.

y = (-1/3)x + 5

y = (-1/3)(0) + 5

y = 5

The y-intercept is (0, 5), which means that when x = 0, we can buy no bottles of paint and 5 tubs of clay with the available $30

Hence , if 3 tubs of clay are purchased, we can buy 6 bottles of paint

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Answer: 51 degrees

Step-by-step explanation:

Angle sum of a triangle: 180 degrees

78 + 51 = 129

180 - 129 = 51

Answer:

[tex]x = \frac{3in(2)}{in(6)} - 2[/tex]

Solving steps:

[tex]-›6 {}^{x + 2} = 8[/tex]

Apply exponents rule

[tex]-›(x +2)in(6) = in(8)[/tex]

Solve for (x + 2) in(6) = in(8)

[tex]-›x = \frac{3in(2)}{in(6)} - 2[/tex]

[tex]\\ \rm\rightarrowtail 6^{x+2}=8[/tex]

[tex]\\ \rm\rightarrowtail (6)^{x+2}=2^3[/tex]

[tex]\\ \rm\rightarrowtail ln6^{x+2}=ln2^3[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln2+2ln3=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln3=3ln2-2ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln3=ln2[/tex]

[tex]\\ \rm\rightarrowtail xln3+xln2+2ln3=ln2[/tex]

[tex]\\ \rm\rightarrowtail (x+2)=\dfrac{ln8}{ln6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{ln8}{ln6}-2[/tex]

Another

[tex]\\ \rm\rightarrowtail (x+2)ln6=ln8[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=ln2^3[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail x+2=\dfrac{3ln2}{ln6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{3ln2}{ln6}-2[/tex]

Answer:

29

Step-by-step explanation:

substitute 4 for x into the function so 7x+1 would be (7*4)+1

7*4=28

28+1=29

Answer:

4!!!

Step-by-step explanation:

or 22

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Solving the linear equation 12.5 = -1.5 + b/0.1, value of b is 1.4

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution of this equation or we can solve this equation by adding or subtracting same number to both sides.

To solve  equation : 12.5 = -1.5 + b/0.1

Adding 1.5 to both sides

12.5 +1.5 = -1.5 +1.5 + b/0.1

14 = b/0.1

Multiply both sides by 0.1

0.1 *14 = 0.1(b/0.1)

1.4 = b

Therefore, the value of b on solving linear equation 12.5 = -1.5 + b/0.1 is 1.4

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Answer:

D

Step-by-step explanation:

-3 - (-3)(-1)

-3 - (3)

-6

Answer:

heads, heads, heads

tails, heads, tails

tails, tails, tails

heads, tails, heads

heads, heads, tails

tails, heads, heads

tails, tails, heads

heads, tails, tails

▬▬In Conclusion▬▬

8 combinations are possible.

Answer:

.60 per day

Step-by-step explanation:

3 dollars / 5 days = 60 cents per day  

5x.6=3

Answer:

1st blank = 12

2nd blank = 3

3rd blank = (-12)

4th blank = (-21)

Step-by-step explanation:

for the first problem, just remeber that "minus a negitive, equals plus a positive" then -9 + 12, equals a positive 3.

and for the 2nd problem, when there is no negitive on the 2nd term, just remeber that if you change the sign in the middle, change the sign that follows. so that -9 - 12 then turns into -9 + (-12).

hope this helped!

Answer:

28 cm per year

5.5 years

Step-by-step explanation:

In three years time, the height of the tree grew from 190 to 274, that's an increase of 84 cm. Divice that by the number of years it took. So you get this calculation:

(274-190)/3 = 28

When the tree was 344 centimeters tall, the increase was 344-190 = 154. Divide that by the 28 found earlier to get 154/28 = 5.5 years.

Step-by-step explanation:

the independent variable is "Time", as this simply processes independently of any number of people present.

the dependent variable is "Number of People" as this changes depending on the time of the day.

Answer:

Step-by-step explanation:

obtain a formula

insert the value of p dollars

multiply 50 by 0.10

add 25 + 5

So it takes 30 minutes for international minutes Thank You

^_^

We are told that c(16x + 14) = 32x + d

Now, if  16x + 4 is multiplied by 2 we will have:

2(16x+14)=32x+28

then 32x + 28 = 32x + d

Since C(16x+14) = 32x+d

and 2 (16x+14) = 32x + d

then c = 2, d = 28

Step-by-step explanation:

Identify the cost of 125 miles;

[tex]125 \times 0.12 = 15[/tex]

$15 for 125 miles.

Subtract 150 and 15;

[tex]150 - 15 = 135[/tex]

(Money remaining)

Divide 135 by 25 to identify how many days she can rent the car;

[tex]135 \div 25 = 5 \frac{2}{5} [/tex]

5 2/5 decreases to 5 as you can't rent a car for 5 2/5 days.

Answer: She can drive 125 miles and rent the car for 5 days.

Answer:

The value of x is 2.7320

Step-by-step explanation:

.

Answer:

5x = 81.2, in order to find out the value of x, we need to isolate the variable by performing inverse operations on both sides of the equation.

5x = 81.2, when we look at 5x we can see that x and 5 are being multiplied.

The inverse operation of multiplication is division so we divide by 5 from both sides:

5x  =  81.2.

÷5       ÷5

x = 16.24, and now since they want us to round to the nearest ten-thousandths, it is not needed because it does not reach the thousandths place so your answer is 16.24.

We can also double check this by replacing x with the value we found:

5x = 81.2

5(16.24) = 81.2

81.2 = 81.2, so it is correct because both match.

Answer: 1/3

Step-by-step explanation:

the card is not being replaced, so it is a dependent event.

Event A: picking an odd number

There are 4 cards total, and 2 odd numbered cards.

P(A) = 2/4 = 1/2

Event B: picking an even number.

There are now three cards total, because the card from Event A was not replaced. There are two even numbered cards.

P(B) = 2/3

P(A+B) = P(A) x P(B)

P(A+B) = 1/2 x 2/3 = 2/6 = 1/3

Answer:

Two negative symbols combine to make a positive sign.

A) 7 - (-3)

B) a - (-5)

C) a - (-b)

A) 7 + 3 = 10 - (the difference is 10, subtract 0).

B) a + 5 = a - (-5) (difference is 'a', subtract -5).

C) a + b = a - (-b) (difference is 'a', subtract -b).

How to write each expression as a difference

To compose each expression as a difference, we ought to discover a proportionate expression within the shape of "x - y". Let's do that for each expression:

A) 7 + 3:

To speak to this as a contrast, able to rework it as follows:

7 + 3 = 10 -

B) a + 5:

To speak to this as a contrast, able to revamp it as takes after:

a + 5 = a - (-5)

C) a + b:

To speak to this as a contrast, able to rework it as takes after:

a + b = a - (-b)

In each case, we changed the given expansion expression into a contrast by including or subtracting a term with the inverse sign (e.g., including -5 to speak to +5 as a contrast).

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Answer:

I believe the answer is (4x−9)(x+6)

Answer:

[tex]27x^{4}-x[/tex]

[tex]x^{3} +216[/tex]

[tex]x^{2} +6x+9[/tex]

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

i had the question on a test

The Linear Regression Equation has the form Y= a + bX. The reasonable prediction for the number of t-shirts sold is 18.

The Linear Regression Equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y-axis), X is the independent variable (i.e. it is plotted on the X-axis), b is the slope of the line and a is the y-intercept.

In order to calculate the reasonable prediction for the number of t-shirts sold, we need to find the function of the given graph below.

As we can see that the function of the graph is linear(line), therefore, we take two points, to find the value of the slope and the value of the constant.

[tex](x_1,y_1)=(10,25)\\(x_2,y_2)=(15,12)[/tex]

The value of the slope can be written as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{12-25}{15-10}=\dfrac{-13}{5}[/tex]

Now, substitute the value of any one point in the equation of the line,

[tex]y=mx+c\\\\y_1=\dfrac{-13}{5}x_1+c\\\\25=(\dfrac{-13}{5}\times 10)+c\\\\25=-26+c\\\\51=c[/tex]

As the price of the t-shirt is $13, therefore, the value of y(or the reasonable prediction for the number of t-shirts sold) can be found,

[tex]y=\dfrac{-13}{5}x+51\\\\y =(-2.6 \times 13)+51\\\\y = 17.2[/tex]

The value of the reasonable prediction for the number of t-shirts sold is 17.2 which is close to 18.

Hence, the reasonable prediction for the number of t-shirts sold is 18.

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Answer:

answer in picture

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

I do not have one sorry!

The value of the missing length in the triangle is b. 100

from the question, we have the following parameters that can be used in our computation:

The triangle

The height is calculated using the Pythagoras theorem as

h²= 60² - 36²

So, we have

h²= 2304

Evaluate

h = 48

Next, we have

(x -36) * 36 = 48 * 48

When evaluated, we have

x -36 = 64

So, we have

x = 64 + 36

Evaluate

x = 100

Hence, the value of x is 100

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Answer:

Using the "Pythagorean Theorem" formula:

a^2 + b^2 = c^2 we can find the hypotenuse of this triangle.

Replace the values of a, b, and c with it's actual values;

8^2 + 4^2 = __^2 ← our missing value

64 + 16 = 80, now we need to find the square root of 80:

√80 = 8.944, which equals to around 8.9.

so to rewrite:

8^2 + 4^2 = 8.9^2, so 8.9 is your answer.

Step-by-step explanation:

hopefully I think hope you will understand

Answer:

x= 8

x= -8

Step-by-step explanation:

|x+1| /3 = 3

|x+1| = 9

|x| + |1| = 9

|x| = 8

x= 8

x= -8

Answer:

Around 43 turns.

Step-by-step explanation:

Answer:

The answer is B. 9

Use cosine rule. In this case, I am using SOH and the right triangle:

sin 60°= a ÷ 6 root 3

(6 root 3)(sin 60°)= a

a=9

Step-by-step explanation:

Answer:

-1/3 is number one

Step-by-step explanation:

rearrange it so that instead of 19 - 9x = 22 it is -9x + 19 = 22 then subtract 19 from both sides of the equation then simplify.

Answer:

A

Step-by-step explanation:

solving the original equation

19 - 9x = 22 ( subtract 19 from both sides )

- 9x = 3 ( divide both sides by - 9 )

x = [tex]\frac{3}{-9}[/tex] = - [tex]\frac{1}{3}[/tex]

solving Maryanne's equation

- [tex]\frac{12}{5}[/tex] x + [tex]\frac{26}{5}[/tex] = 6 ( multiply through by 5 to clear the fractions )

- 12x + 26 = 30 ( subtract 26 from both sides )

- 12x = 4 ( divide both sides by - 12 )

x = [tex]\frac{4}{-12}[/tex] = - [tex]\frac{1}{3}[/tex]

solving Herb's equation

11 = 18x + 5 ( subtract 5 from both sides )

6 = 18x ( divide both sides by 18 )

[tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex] = x

Only Maryanne's equation has the same solution as the original equation

Answer:

y>1

Step-by-step explanation:

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