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
soldi70 [24.7K]
3 years ago
15

Eight less than four times a number is less than 56. What are the possible values of that number?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

Answer:

x < 16

Step-by-step explanation:

Let the number be x

Four time the number = 4x

Eight less than four times the number = 4x - 8

Eight less than four times the number is less than 56,

          that is , 4x - 8  < 56

                      4x - 8 + 8 < 56 + 8                    [ adding both sides by 8 ]

                        4x + 0 < 64

                              4x < 64                             [ divide both sides by 4 ]

                                 x < 16

                         

You might be interested in
HELP ME PLS I DONT HAVE TIME
chubhunter [2.5K]

Answer:

A is true.......................b is false....................and c is false

Step-by-step explanation:

6 0
2 years ago
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
mina [271]

Answer:

The tip of the man shadow moves at the rate of \frac{20}{3} ft.sec

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

\frac{y - x}{y} = \frac{6}{15}

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = \frac{15x}{9\\} y = \frac{5x}{3}

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt} ----(1)

We are given \frac{dx}{dt} = 4 ft/sec. Plug in the equation (1), we get

\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0
3 years ago
Trent, Linda and Pam paint a poster that is 4 feet long. They each paint an equal amount. How many feet does each student paint
tester [92]
They each paint a part of the poster that is 1.333 or 1 1/3 feet long. Hope this helps:)
7 0
3 years ago
In order to solve for the variable in the equation 1-(x+2)+ 2X= 5(2x-5)- Mikel first applies the distributive property.
zhuklara [117]
The anwser to this is number 4
6 0
3 years ago
Solve the following system of equations.
Lerok [7]

Answer:

x=5 and y=-2

Step-by-step explanation:

3x+5y=5

-(7x+5y=25)

-4x=-20

x=5

plug 5 into one of the equations. 3(5)+5y=5

y= -2

3 0
2 years ago
Other questions:
  • The giant swallowtail is the largest butterfly in the United States.Its wingspan can be as large as 16 centimeters. What is the
    11·2 answers
  • Approximately how many of the world’s volcanoes occur along the Ring of Fire? 60 to 70 percent 70 to 80 percent 80 to 90 percent
    13·1 answer
  • A city lot has the shape of a right triangle whose hypotenuse is 2 ft longer than one of the other sides. the perimeter of the l
    8·1 answer
  • The coordinates of point L on a coordinate grid are (−2, −4). Point L is reflected across the y-axis to obtain point M and acros
    5·1 answer
  • Identify this conic section.<br><br> 9x 2 + 4y 2 = 36
    8·1 answer
  • An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
    7·1 answer
  • What is 17.5 as a whole number NO ROUNDING
    12·1 answer
  • christine and kaylani are using ribbon to decorate a project in their art class. the ratio of the length of christine's ribbon t
    15·1 answer
  • A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet p
    15·1 answer
  • (5,65) (7,71) slope
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!