Solve for x in the literal equation −4 = xy + z.

Answer:

[tex] 2 \dfrac{1}{4} [/tex]

Step-by-step explanation:

[tex] -5 \dfrac{1}{2} + 7 \dfrac{3}{4} = [/tex]

[tex] = -5 \dfrac{2}{4} + 7 \dfrac{3}{4} [/tex]

[tex] = 7 \dfrac{3}{4} - 5 \dfrac{2}{4} [/tex]

[tex] = 2 \dfrac{1}{4} [/tex]

Answer:

Her height would be 162.56 centimeters tall.

Step-by-step explanation:

There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.

30.48 x 5 = 152.4

Add the 4 extra inches so 4 inches in centimeters is 10.16

152.4 + 10.16 = 162.56

Answer:

£15

Step-by-step explanation:

Angad : Nick = 5 : 1

Let

Nick share = x

Angad share = x + £60

Angad : Nick

5 : 1 = x + £60 : x

5/1 = x + 60 / x

Cross product

5 * x = 1 * x + 60

5x = x + 60

5x - x = 60

4x = 60

x = 60/4

x = 15

Nick get £15

Answer:

We can write the equation for the first part of this problem as:

16

+

4

x

=

10

+

14

We can now solve for  

4

x

:

−

16

+

16

+

4

x

=

−

16

+

24

0

+

4

x

=

8

4

x

=

8

To find the value of  

8

x

we can multiply each side of this equation by  

2

:

2

×

4

x

=

2

×

8

8

x

=

16

Step-by-step explanation:

Answer:

Height of the building = 77 ft.

Step-by-step explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

                                                              ≈ 5 feet + [tex]\frac{3}{12}[/tex] ft

                                                              ≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]

[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]

h = [tex]\frac{55\times 5.25}{3.75}[/tex]

h = 77 ft

Therefore, height of the building will be 77 ft.

Answer:

2

Step-by-step explanation:

because 8 and 4 to get the shape smaller you divide it by 2 so you times 1 *2 to get the bigger one

Answer:

__________________the answer is C _____________

Answer:

C.

Step-by-step explanation:

The y intercept is when x=0

so (0, -7) is the y-intercept

slope is found when you subtract y-y1/x-x1

-10- (-7) / 9-0

-3/9

simplified is -1/3

slope is -1/3 and y intercept is (0, -7)

Answer:

jhvcvghvrxthrcftgv

Step-by-step explanation:

hkhvyyiytvhjh

Answer:

0.5cm

Step-by-step explanation:

Using the sine rule

Answer:

c = 0.5 cm

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{c}{sin15}[/tex] = [tex]\frac{2}{sin105}[/tex] ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c = [tex]\frac{2sin15}{sin105}[/tex] ≈ 0.5 cm ( to the nearest tenth )

Answer:

the expression is (36+5)³

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer: 12x^6y^3-28x^4y^5+8x^4y^4-4x^3y^4

Step-by-step explanation:

The requierd product of 4x³y³ and (3x³-7xy²+2xy-y) is:

12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The monomial and the polynomial are given in the question, as follows:

4x³y³ × (3x³-7xy²+2xy-y)

To find the product of the monomial 4x³y³ and the polynomial (3x³-7xy²+2xy-y), we need to multiply each term in the polynomial by the monomial and then add the results.

(4x³y³) × (3x³) = 12x⁶y³

(4x³y³) ×  (-7xy²) = -28x⁴y⁵

(4x³y³) ×  (2xy) = 8x⁴y⁴

(4x³y³) ×  (-y) = -4x³y⁴

⇒ 12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴

Therefore, the product of 4x³y³ and (3x³-7xy²+2xy-y) is:

12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴

Learn more about the polynomial here:

brainly.com/question/11536910

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Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

Answer:

There is not a proportional relationship

Step-by-step explanation:

The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.

Answer:

Yes, the proportional relationship is 9.50

Step-by-step explanation:

In the graph that you have attached this picture with, hours x 9.50 = pay.

Hope this helps :D

Answer:

(-5,8)

Step-by-step explanation:

The given equation y = -3x - 7 holds true for the ordered pair, so (-5, 8) is a solution. Thus, option third is correct.

To determine whether each ordered pair is a solution to the equation y = -3x - 7, we substitute the x and y values into the equation and check if it holds true.

For the ordered pair (8, -56):

y = -3x - 7

-56 = -3(8) - 7

-56 = -24 - 7

-56 = -31

The equation does not hold true for this ordered pair, so (8, -56) is not a solution.

For the ordered pair (-5, 8):

y = -3x - 7

8 = -3(-5) - 7

8 = 15 - 7

8 = 8

The equation holds true for this ordered pair, so (-5, 8) is a solution.

For the ordered pair (-9, -23):

y = -3x - 7

-23 = -3(-9) - 7

-23 = 27 - 7

-23 = 20

The equation does not hold true for this ordered pair, so (-9, -23) is not a solution.

For the ordered pair (4, 19):

y = -3x - 7

19 = -3(4) - 7

19 = -12 - 7

19 = -19

The equation does not hold true for this ordered pair, so (4, 19) is not a solution.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ4

Answer:

Company B will charge cheaper in 5 hours

Step-by-step explanation:

Step one:

Given data

Company A

charges $25 per hour and a $300 equipment fee

let the total be

A= 300+25t---------------1

Company B

charges $50 per hour and a $125 equipment fee.

let the total be

A= 125+50t---------------2

put t = 5 in the two expressions above

A= 300+25t---------------1

A= 300+25*5

A=300+125

A=$425

B= 125+50t---------------2

B= 125+50*5

B=125+250

B=$375

Answer:

A = 25t + 300 B = 50t + 125

company B is $50 cheaper than company A for 5 hours of landscaping

Answer:

2.5 ounces drip from the faucet per hour.

Step-by-step explanation:

You can figure this out by dividing the amount of water (7.5) by the hours (3).

7.5/3 = 2.5

To check your work you can do the same for the other combinations.

10/4=2.5, 12.5/5=2.5....

I hope this helped :)

Answer:

68

Step-by-step explanation:

F = 1.8(20)+32 = 68

Answer:

4x -12

Step-by-step explanation:

is that what u needed lol

Step-by-step explanation:

-24 ==== ( 2×-6=-12___-12×2= -24)

Answer:

hhhhhhh

Step-by-step explanation:jujujujjujjjju

Answer:

140

Step-by-step explanation:

The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140

x = 140

Answer:

$392

Step-by-step explanation:

Given the expression :

Total cost = 20a + 13c

a = adult

c = student

The total cost for 4 adults and 24 students

a = 4 ; c = 24

Total cost :

20(4) + 13(24)

80 + 312

= $392

Answer:

1) d 2) b

Step-by-step explanation:

1) 36÷24 = 1.5 15×1.5= answer

2) 4÷3.2= 1.25 7.5÷1.25= answer

Answer:

m = 2, b = 4.6

Step-by-step explanation:

The slope intercept formula is y = mx + b, So you can substitute for the values given.