Which equation can be used to determine the value of x?
(3x + 18) = 93
All of these
(3x + 18) + 93 = 90
(3x + 18) + 93 = 180
None of these

Answer:

1. 55.5

2. 54.5

Step-by-step explanation:

Use division to convert the fraction to a decimal:

1/4 = 1 ÷ 4 = 0.25

Multiply by 100 to get percent value:

0.25 × 100 = 25%

Answer:

1. 0.56

percentage: 56%

2. 0.55

percentage: 55%

Step-by-step explanation:

5/9 to decimal= 0.56

to percentage multiply by 100

same for the second one

Answer:

y = 113

Step-by-step explanation:

Two adjacent angles of a parallelogram are always supplementary.

Answer:

Step-by-step explanation:

he can travel only with this gas 30×18=540 miles one way.

Answer:

C

Step-by-step explanation:

what happens, when you rotate something around a pole ? what shape is the most outside point making around that pole ?

a circle, of course.

that means rotating the rectangle around the x-axis creates a round object (with the bottom area being a circle).

so, all answers about a prism (rectangular bottom shape) are automatically wrong.

again, just imagine to rotate a small sheet of paper around a pole (the x-axis acts like one in this scenario).

the result is a solid with a circular bottom area, and it maintains this shape all the way to the top.

it is a cylinder !

and what is its radius ?

well, the outermost point of the rectangle is 8 points away from the x-axis. when we rotate this rectangle, that attribute remains, of course. and every point on the side surface of the resulting cylinder has the same distance from the central x-axis : 8.

so, the radius is 8.

and the volume of a cylinder is

ground area × height = pi×r² × height

in our case

pi×8² × 5 (the width or "height" of the rectangle) = pi×64 × 5 = 320×pi

Given equations:

To find :

Put value of y of second equation (i.e y = 4x) in equation one (i.e x + y = 15)

➞ x + y = 15

➞ x + 4x = 15

➞ 5x = 15

Divide both LHS and RHS by 5

➞ (5x)/5 = 15/5

➞ x/1 = 3/1

➞ x = 3

Now put value of x in equation 2

{Note : value of x can be inserted both in equation 1 and 2}

➞ y = 4x

➞ y = 4 × 3

➞y = 12

Verification :

put value of x and y in equation 1 :

LHS = RHS

hence verified !

put value of x and y in equation 2 :

LHS = RHS

hence verified !

∴ Value of x and y is 3 and 12 respectedly .

REQUIRED ANSWER :

(x , y) = (3 , 12)

Answer:

(3, 12)

Step-by-step explanation:

Given equations:

Substitute Equation 2 into Equation 1 and solve for x:

⇒ x + 4x = 15

⇒ 5x = 15

⇒ x = 15 ÷ 5

⇒ x = 3

Substitute the found value of x into Equation 2 and solve for y:

⇒ y = 4(3)

⇒ y = 12

Therefore, the solution of the system is (3, 12)

The value of 'x' with rational denominator =

[tex] \frac{4 \sqrt{3} }{3} [/tex]

Step-by-step explanation:

cos =

[tex] \frac{adjacent \: side}{hypotenuse} [/tex]

cos 30 =

[tex] \frac{ \sqrt{3} }{2} [/tex]

given triangle is a right- angled triangle.

from the triangle,

cost 30 =

[tex] \frac{adjacent \: side}{hypotenuse} \: \: = \: \frac{2}{x} [/tex]

[tex] \frac{ \sqrt{3} }{2} \: = \frac{2}{x} [/tex]

√3x = 4

[tex]x \: = \: \frac{4}{ \sqrt{3} } [/tex]

Rationalising the denominator we get,

x =

[tex] \frac{4}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

x =

[tex] \frac{4 \sqrt{3} }{3} [/tex]

Therefore, the value of 'x' =

[tex] \frac{4 \sqrt{3} }{3} [/tex]

Answer:

it's 68...............

Answer:

68

Step-by-step explanation:

so 25% of x=17

17*4=68

Answer:

5 to the power of 9

Step-by-step explanation:

You have 5^7 over 5^-2.

The 5^-2 on the bottom can be handled by moving the whole thing UP across the fraction bar. This makes the -2 exponent into a positive 2 exponent.

5^7 / 5^-2

= 5^7• 5^2

Now, to multiply these, ADD the exponents.

5^7•5^2

= 5^9

Answer:

[tex] {144in}^{3} [/tex]

Step-by-step explanation:

The formula for the volume of a pyramid is

1/3(b*h)

b = base area

h = height

1/3(36*12)

1/3(432)

144

Volume is always cubed, so answer is

[tex] {144in}^{3} [/tex]

Answer:

12/25

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number whom makes its denominator equal the LCD.

[tex]\left(\frac{4 \cdot 10}{10 \cdot 10} \right) + \left(\frac{8 \cdot 1}{100 \cdot 1}\right) = \frac{40}{100} + \frac{8}{100}[/tex]

[tex]= \frac{48}{100}[/tex]

Find the new LCD(4).

[tex]\frac{48/4}{100/4} = \frac{12}{25}[/tex]

Answer:

D. [tex]y + 6 =- \frac{1}{4} (x+2)[/tex]

Step-by-step explanation:

We are given that a line is parallel to the line y=-1/4x-7 and passes through (-2, -6).

We want to write the equation of this line.

First, we need to know that parallel lines have the same slope.

In y=-1/4x-7, the slope of the line is -1/4; it is also the slope of the line parallel to it.

All of the answers in your system are written in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

As we already know the slope and the point, we can plug these values into the formula.

Starting with the slope; as found above, the slope is -1/4. Therefore, the equation will then be:

[tex]y-y_1=-\frac{1}{4} (x-x_1)[/tex]

Now substitute -2 and -6 as [tex]x_1[/tex] and [tex]y_1[/tex] respectively (note: we have NEGATIVE numbers, and SUBTRACTION in the formula, so we will end up subtracting a negative).

[tex]y--6=-\frac{1}{4} (x--2)[/tex]

We can simplify this to become:

[tex]y+6=-\frac{1}{4} (x+2)[/tex]

Therefore, D is the answer.

Answer:

y+6= -4(x+2)

Step-by-step explanation:

It is not possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs.

These are equations that is made of unknown variables.

Let the time she dances be x

Let the time she runs be y

If Jackie runs and dances for a total of 55 minutes every day, the;

x + y = 55 ............ 1

If She dances for 25 minutes longer than she runs, then;

x = y + 25 ............. 2

The pair of equation are x + y = 55 and x = y + 25

Substitute 2 into 1

y + 25 + y= 55

2y .= 30

y = 15

He spent 15 minutes running everyday

x = 55 - 15

x= 40minutes

It is not possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs.

Learn more on system of equation here: https://brainly.com/question/847634

#SPJ1

Answer:

a:x+y=55

x=y-25

b: x = 15 minutes

c: No

Step-by-step explanation:

Part A: x=y-25

x+y=55

Part B:if x-y=-25 / x+y=55

2x=30

x=15 minutes she runs.

Part C:No because 45 + 25 = 70 and 70+45 = 115 and 115>55

Answer:

A. 9x² - 7

Step-by-step explanation:

» Concepts

A monomial is an expression that consists of only one mathematical term.

A binomial is an expression that consists of only two mathematical terms joined by an addition (+) or subtraction (-) sign.

A polynomial is an expression that consists of three or more mathematical terms joined by an addition (+) or subtraction (-) sign.

» Solution

Given these definition, we can surely determine that A. 9x² - 7 is the correct answer because it's the only answer choice with only two terms. B is a polynomial, and C and D are monomials.

Answer:

12 degrees hopefully its right it might be wrong tho if its im sorry at least i tried to help

Step-by-step explanation:

Answer:

x^3 + 3x^2 - 16x - 48.

Step-by-step explanation:

(x - 4)(x + 3)(x + 4)

= (x - 4)(x + 4)(x + 3)

= (x^2 - 16)(x + 3)

= x^3 + 3x^2 - 16x - 48.

Answer:

D. They will always agree

Step-by-step explanation:

Correct me if I'm wrong

Answer:

45 degrees

Step-by-step explanation:

90 - 45 = 45

Answer:

[tex] \boxed{ \rm\angle P = \tt174{ {}^ \circ} }[/tex]

Step-by-step explanation:

Given,

In a quadrilateral.

To Find:

Solution:

We know that in quadrilateral MNPQ,

[tex] \rm \: \boxed{ \rm ∠M +∠ N +∠ P+ ∠Q = 360 ^{ \circ}}[/tex]

[tex] \rm \implies \: 48 {}^ \circ + 80 {}^ \circ + \angle P + \cfrac{1}{3} \angle \: P = 360 {}^{\circ}[/tex]

[tex] \rm \implies \angle P + \cfrac{1}{3}\angle P = 360 { {}^ \circ} - 48{ {}^ \circ} - 80 {{}^ \circ} [/tex]

[tex] \implies \rm \: \cfrac{4}{3} \angle P = 232 {{}^ \circ} [/tex]

[tex] \rm \: \implies \: \angle P = 232 {}^{\circ} \times \cfrac{3}{4} [/tex]

[tex] \rm \implies \: \angle P = 174{ {}^ \circ} [/tex]

Thus, ∠P will be 174° .

Answer:

Angle 1= 63°

Angle 2 = 21°

Angle 3 = 96°

Answer:

Undefined

Step-by-step explanation:

Answer:

[tex]slope = \frac{-15}{0}[/tex] = Undefined

Step-by-step explanation:

To find the slope of these two points we use the slope formula

[tex]slope = \frac{(y_{2} - y_{1})}{(x_{2}-x_{1})}[/tex]

[tex]slope = \frac{((-8) - 7)}{((-5)-(-5))}[/tex]

[tex]slope = \frac{-15}{0}[/tex]  The slope would be classified as undefined

Step-by-step explanation:

ang acb of arc amb= 130°

ang acb of arc apb = 230°

length of arc = 5*230/360 = 3.19 cm

The number of steps per mile for a person who is 64 inches tall will be 2354.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Some pedometers have a default setting that assumes that the number of steps a person must take to walk 1-mile decreases by 33 steps per 1-inch increase in height.

Suppose a person 72 inches tall makes 2,250 steps per mile.

70 inches tall makes 2150 steps per 1 mile.

For every inch of height gain, the count of steps required to walk a mile drops by 34.

If the count of steps is S and the height is h, we have the following issue.

S = 2150 - 34(h -70)

Therefore the linear model will be

S = 2150 -34(h - 70)

Now for h = 64, we have

S = 2150 - 34(64 - 70)

S = 2150 - 34 ( -6)

S = 2150 + 204

S = 2354

The number of steps per mile for a person who is 64 inches tall will be 2354.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

\log_{b}({b^x})=x

Step-by-step explanation:

hope this helps

Answer:

1

Step-by-step explanation:

3:3 = 1