1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gogolik [260]
3 years ago
7

Set y= 22x+4 and y= 14x+28 equal and solve algebraically

Mathematics
1 answer:
Doss [256]3 years ago
3 0

Answer:

x = 3; y = 70.

Step-by-step explanation:

When you set the two equations equal to each other you get:

22x + 4 = 14x + 28

This is a multi-step equation since the variable is on both sides of the equal sign.  In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other.  The first step for this equation is to get the variable on one side and the constants on the other.  Subtracting 14x from both sides:  22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28.  Next, subtract the 4 from both sides to get:  8x +4 - 4 = 28 - 4 or 8x = 24.  Lastly, divide both sides by 8 to get x = 3.  To solve for y, simply plug 3 in for 'x' in either of the initial equations:  y = (22)(3) + 4 = 70.

You might be interested in
Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living
Sliva [168]

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

7 0
3 years ago
Calculamos el volumen (V) de un prisma cuadrangular expresado en unidades cúbicas. Respondemos: ¿cómo se calcula?...............
Vadim26 [7]

Answer:

a) El procedimiento queda resumido en lo que sigue:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) La expresión para calcular el volumen del prisma (V), en unidades cúbicas, es:

V = w\cdot h \cdot l

Donde:

w - Ancho de la base, en unidades.

h - Altura de la base, en unidades.

l - Longitud del prisma, en unidades.

Step-by-step explanation:

a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) En consecuencia, se deriva la expresión para el volumen del prisma:

V = A\cdot l (1)

Donde:

A - Área de la base del prisma, en unidades cuadradas.

l - Longitud del prisma, en unidades.

V = w\cdot h \cdot l (2)

Donde:

w - Ancho de la base, en unidades.

h - Altura de la base, en unidades.

5 0
3 years ago
1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.
Lady_Fox [76]

Answer:

Step-by-step explanation:

Well is she wanted to make $80 “b” she would have to garden for 16 hours to make a maximum of $80

“C” if she wanted to make it out of babysitting she would have to work the same for 8 hours if she babysit

Workout : b part = 10+10+10+10+10+10+10+10 Key:10=2

:c part = 20+20+20+20. Key:20=2

Sorry I didn’t do a but just add all the things above and u get your answer

4 0
3 years ago
Y = x - 1
romanna [79]

Answer: The correct answer is the third option, (-3,-4).

Step-by-step explanation: You plug in 2x + 2 for y, given that y = 2x + 2.

2x+2 = x - 1

x = -3

Now, you plug in -3 for x in an equation.

y = -3 - 1

y = -4.

(-3, -4)

4 0
2 years ago
Read 2 more answers
Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach at high tide measured where 1
sergeinik [125]

Answer:

10 and 11

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • How to find the volume of the sphere with the formula
    11·1 answer
  • Identify the domain and range of the following graph.
    12·1 answer
  • Given the function f(x) = The quantity of 5x minus 3, divided by 4, which of the below expressions is correct?
    6·1 answer
  • Find simple interest on $5,523 principal deposited for seven years at a rate of 4.99%
    12·2 answers
  • Given that 1 pound equals 16 ounces, how many pounds are in 152 ounces?
    10·2 answers
  • Can someone answer this
    6·1 answer
  • C is 26 m2 and d is 36 m2
    9·2 answers
  • Please help!! ill give brainlist!
    6·1 answer
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND
    13·1 answer
  • What is an equation of the line that passes through (0,8) and (4,0)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!