What is the value of x in the equation
3x - y = 30, when y = 15?

Answers

Answer 1

Answer:

x = 15

Step-by-step explanation:

3x - y = 30

Given;

y = 15

To find;

value of 'x'

Putting the value of y in the given equation;

3x - 15 = 30

3x = 30 + 15

3x = 45

x = 45/3

x = 15

Answer 2

Answer:

x = 15

Step-by-step explanation:

3x - y = 30let y = 153x - 15 = 303x = 30 + 153x = 45x = 45/3x = 15Let's check:3x - y = 303(15) - 15 = 3045 - 15 = 3030 = 30

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]


Related Questions

Identify the form of each equation.
2x + 8y = 5 is in (select)
V
y-9=5(x - 6) is in (select)
V
y = 7x + 6 is in (select)
V
9x - 2y = -6 is in (select)

Answers

Answer:

Step-by-step explanation:

The first one is in standard form;

the second one is in point-slope form;

the third one is in slope-intercept form;

the last one is in standard form

These are all lines, so as you can see, there are 3 different formats for writing the equation of a line.

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 40.0°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{WX}{VW}[/tex] = [tex]\frac{57}{68}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{57}{68}[/tex] ) ≈ 40.0° ( to the nearest tenth )

Enter an equation in point-slope form for the line.
Slope is 4 and (-2,-1) is on the line.
The equation of the line in point slope form is:

Answers

Answer:

[tex]y+1=4(x+2)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the slope and the point

[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]

I hope this helps!

What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)​

Answers

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

EXPRESS in power notation
1. -1/8
2. -64/27
Express in rational number
1. (-3/2)
2. (1/5)
simplify (-4/3)³(2/5)-⁴ ÷ (7/4) ​

Answers

Answer:

Solution given:

1:

-1/8=[tex]\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}[/tex]

2. -64/27

=[tex]\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}[/tex]

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=5/25

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

(-64*625/(27*16))*4/7

-2500/27*4/7

-10000/169

(-100/13)²

Steve's math homework took him 17 minutes. His science homework took him 22 minutes. How much time did it take Steve to finish his math and science homework?

Answers

Answer:

39 minutes for both

Step-by-step explanation:

22+17=39

Answer:

It took Steve 39 minutes to finish both his math and science.

Step-by-step explanation:

17+22=39

Steve is traveling from Atlanta to Houston, a distance of 704 miles. If he divides the trip into two parts,
which the ratio of the parts is 2:5, how many miles does he drive in each section?

Answers

Answer:

201.14 , 502.85

Step-by-step explanation:

704/7 = 100.57

2*100.57 = 201.14

5*100.57 = 502.85

A vertical light pole on a hillside casts a
shadow of 55 m long down the hill. If the
angle of elevation of the sun is 48.3° and the
angle of inclination of the hill is 21.4. Find
the height of the pole.

Answers

Answer: [tex]37.4\ m[/tex]

Step-by-step explanation:

Given length of shadow [tex]l=55\ m[/tex]

Hill inclination [tex]21.4^{\circ}[/tex]

Angle of elevation for sun [tex]48.3^{\circ}[/tex]

Suppose the length of the pole is [tex]h[/tex]

from the figure, and using sine rule. It can written

[tex]\Rightarrow \dfrac{55}{\sin 41.7^{\circ}}=\dfrac{h}{\sin 26.9^{\circ}}\\\\\Rightarrow h=55\cdot\dfrac{\sin 26.9^{\circ}}{\sin 41.7^{\circ}}\\\\\Rightarrow h=55\cdot 0.68011\\\Rightarrow h=37.40\ m[/tex]

What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth. Assume the label wraps around the entire height of the can and does not overlap. SHOW WORK..

Answers

Answer:

Area of label = 100 inch² (Approx.)

Step-by-step explanation:

Given:

Height of label = 8 inches

Diameter of label = 4 inches

Find:

Area of label

Computation:

Design of label = Rectangle

So,

Width of label = 2πr

Width of label = 2(3.14)(4/2)

Width of label = 2(3.14)(2)

Width of label = 12.56 inches

Area of label = Height of label x Width of label

Area of label = 12.56 x 8

Area of label = 100.48

Area of label = 100 inch² (Approx.)

The circumference of a circle is 11 pi ft. find its diameter, in feet​

Answers

Answer:

11 feet

Step-by-step explanation:

Use the circumference formula, C = [tex]\pi[/tex]d

Plug in 11[tex]\pi[/tex] as C, and solve for d:

C = [tex]\pi[/tex]d

11[tex]\pi[/tex] = [tex]\pi[/tex]d

11 = d

So, the diameter is 11 feet

The table shows the change in yards for 3 plays in a football game. Use the information below to complete statements below.

Answers

Answer:

Step-by-step explanation:

Kay do you just not know about "football"  ??  what was confusing you about this question??

question 1 )   play C

question 2)  play A

question 3)  13 less yards ,

Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5

Answers

Answer:

a.-8x-12y

Step-by-step explanation:

i hope it will help u

The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).

What are the perpendicular lines?

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

The equation of the line below which is given in the question

4x - 3y = 8

We have to determine which is perpendicular to the given equation of the line

First, we need to find the slope of the given equation.

4x - 3y = 8

- 3y = - 4x + 8

Divided by -3 into both sides of the above equation,

y = (- 4/-3)x + 8/(-3)

y = (4/3)x - 8/3

Comparing the above equation with the standard form of line y = mx + b

Here m is the slope of the line,  in this case, m = 4/3.

As per option (C),

- 3y = 8 + 4x

Divided by -3 into both sides of the above equation,

y = - 4/3x - 8/3

Here the slope of this line is - 4/3

Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.

Hence, the correct answer would be option (C).

Learn about the perpendicular lines here :

https://brainly.com/question/18271653

#SPJ2

how can you find the slope of a line and use it to
solve problems?

Answers

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

Using the graph, determine the equation of the axis of symmetry.​

Answers

Answer:

x = - 3

Step-by-step explanation:

The axis of symmetry passes through the vertex ( turning point ) of the graph and is a vertical line with equation

x = c ( c is the value of the x- coordinate of the vertex )

The vertex is (- 3, - 1 ) with x- coordinate - 3 , then

equation of axis of symmetry is x = - 3

Volume of this hemisphere give answer to one decimal place

Answers

Answer:

[tex] \implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3}\pi {r}^{3} \\ [/tex]

[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 8 \times 8 \times 8 \\ [/tex]

[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 512 \\ [/tex]

[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{22528}{21} \\ [/tex]

[tex]\implies \rm Volume_{(Hemisphere)} = 1072.8\: {cm}^{3} \\ [/tex]

Can someone help me with this task please? !!

Answers

Answer:

1. are you serious to ask ? it is written right there in the question itself. x=0, f(0)=y=6

2. the slope is 3

3. -4/3

4. $1.50 per book

5. -2

Step-by-step explanation:

1. the table itself says it for x=0. f(x) for x=0 is 6.

2. as explained do often already. the slope is the ratio of y/x showing how many units y changes, when x changes a unit or another surviving number of units.

the table shows when x increases by 1 unit, y increases by 3 units. so, the slow is 3/1 or simply 3.

3. again slope (see 2.).

going from M to N x increases by 4 units (from 1 to 5), and y decreases by 3 units (from 3 to 0).

so, the slope is y changes / x change = 4/-3 or simply -4/3

4. rate of change is

(f(a) - f(b)) / (a - b)

e.g.

(275 - 50) / (250 - 100) = 225 / 150 = 1.5

5. again very simple. which of the provided answer options appears in the f(x) column ?

the result of a function is the functional or y value calculated by the formula when responding the generic variable (like x) by the specified input value.

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

fijate bien

Step-by-step explanation:

15. Madison invested in a certificate of deposit for 4 years at a 6% interest rate. At the end of the 4 years, the value
of the certificate of deposit was $3,100. How much did Madison deposit originally?

Answers

Answer:

2455.49

Step-by-step explanation:

[tex]3100=x(1+.06)^4\\x=2455.490356[/tex]

1/2a=11

a=? P.S I am not in high school I am in 4TH GRADE!!!

Answers

Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22

Determine wether the graph shows a positive correlation, negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in this situation.

Answers

Answer:

the answer is C.

Step-by-step explanation:

in this situation as time passes, the number of quarts picked decreases.

hope it helps!

−5x−9y=3 plus 5x−9y=-2 ​

Answers

Answer:

-18y=1

Step-by-step explanation:

Sorry if this is wrong, I was just guessing...

What is the area of this figure

Help please

Answers

Step-by-step explanation:

A you see here, we have 3 different shapes. a Triangle, a big and small rectangle. Lets start with the triangle.

between the 8 in's, theres a gap. 5+4=9,

9+8+8=25. we have the length of the triangle.

9*25 divided by 2= 112.5. thats are area of the triangle.

for the bigger rectangle, 20*9=180, the area of the rectangle, and the smaller rectangle at the bottom is 16.

Now we add:

112.5+180+16=308.5  

hope this helps!

simplify 6÷[5{6÷(5-2)}]

answer correctly i will give brainliest.

Answers

Answer:

hope this helppppp youuu

the answer is 0.6 :)

Can someone help me with this math homework please!

Answers

Answer:

I'm pretty sure it is 0.75

Step-by-step explanation:

It is a3 so that means it is the 3rd answer in the sequence.

Answer:

The sequence is adding 0.25

hey are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound. How 0 35. much did the oranges appreciate (percent of increase)?

SHOW YOUR WORK.​

Answers

Answer:

Solution given:

in 1990

cost of orange[C.P]=$0.56

in 2003

cost of orange[S.P]=$0.86

now

increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3

Now

increased percent [profit%]=?

we have

profit%=profit/c.p*100%

=0.3/0.56*100=53.57℅

Therefore

the oranges appreciated by 53.57%

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Given:-are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound

Find:-percentage of increasing

Solution:-

we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.

so,

C.P of 1990=0.56$c.p of 2003=0.86$

[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]

we know that,

[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]

According to the question,

[tex]\sf{percentage_{(profit)}=\dfrac{0.3}{0.56}×100 }[/tex]

[tex]\sf{percentage_{(profit)}=\dfrac{5357}{100} }[/tex]

[tex]\sf{percentage_{(profit)}=53.57\% }[/tex]

Which of the following are square roots of the number below? Check all that apply.

36

Answers

Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain​

Answers

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, and the measure of each side of the triangle.

Answers

Given:

The ratio of the measures of the sides of a triangle is 3:4:5.

Its perimeter is 48 inches.

To find:

The scale factor as a decimal, and the measure of each side of the triangle.

Solution:

Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.

The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.

[tex]3x+4x+5x=48[/tex]

[tex]12x=48[/tex]

Divide both sides by 12.

[tex]x=\dfrac{48}{12}[/tex]

[tex]x=4[/tex]

Now, the measures of sides are:

[tex]3x=3(4)[/tex]

[tex]3x=12[/tex]

Similarly,

[tex]4x=4(4)[/tex]

[tex]4x=16[/tex]

And,

[tex]5x=5(4)[/tex]

[tex]5x=20[/tex]

Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.

Answer:

The scale factor is 4.

Sides are 12 inches, 16 inches, 20 inches.

Step-by-step explanation:

The ratio is 3 : 4 : 5 and the perimeter is 48 inches.

Let the scale is p.

The length of sides is 3 p , 4 p and 5 p.

So, the perimeter is

3 p + 4 p + 5 p  = 48

12 p = 48

p = 4

So, the scale factor is 4.

Sides are 12 inches, 16 inches, 20 inches.

what is the value of x that makes PQ || RS
a. 42
b. 55
c. 51
d. 100
pls give a step to step explanation if you can

Answers

Answer:

x = 55

Step-by-step explanation:

These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

3x-65 = 2x-10

Subtract 2x from each side

3x-2x -65 = 2x-2x-10

x-65 = -10

Add 65 to each side

x-65+65 = -10+65

x = 55

What is the value of y? 72

Answers

Answer:

D. 54

Step-by-step explanation:

54 + 54 = 108, and 72 + 180 equals 180 degrees.

This is due to the fact all angles in a triangle add up to 180 degrees.

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