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Akimi4 [234]
3 years ago
7

What is the solution for x In the inequality -3x+4<16

Mathematics
2 answers:
dolphi86 [110]3 years ago
8 0

Answer:

x > -4

Step-by-step explanation:

-3x + 4 < 16

-3x < 16 - 4

-3x < 12

-x < 4

x > -4

Evgen [1.6K]3 years ago
5 0

Answer:

x > -4

Step-by-step explanation:

-3x+4<16

Subtract 4 from each side

-3x+4-4<16-4

-3x < 12

Divide each side by -3, remembering to flip the inequality since we are dividing by a negative.

-3x/-3 > 12/-3

x > -4

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What is 3(x-5)-14=2(x-7)+2
Evgen [1.6K]

Answer: x = 7

Step-by-step explanation:

To solve the equation,

First step, open the bracket

3(x-5)-14=2(x-7)+2

3x -15 -14 = 2x -14 +2

Then, add the like terms

3x - 29 = 2x -16

Transpose the values at the right hand side to the left hand side

3x - 2x = -16 + 29

x = 7

5 0
3 years ago
A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length
Mila [183]

Volume of solid created  = 85m^{3}.

<u>Step-by-step explanation:</u>

We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length  of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube  - Volume of rectangular prism

Volume of cube = side^{3}

⇒ Volume1 = side^{3}

⇒ Volume1 = 5^{3}

⇒ Volume1 = 125m^{3}

Volume of rectangular prism = wlh

⇒ Volume2 = wlh

⇒ Volume2 = 5(4)(2)

⇒ Volume2 = 40m^{3}

Now,  Volume of solid created = Volume of cube  - Volume of rectangular prism

⇒ Volume of solid created  = Volume1 - Volume2

⇒ Volume of solid created  = 125m^{3} - 40m^{3}

⇒ Volume of solid created  = 85m^{3}

∴ Volume of solid created  = 85m^{3}.

8 0
3 years ago
You have 17 coins in pennies, nickels, and dimes in your pocket. The value of the coins is $0.47. There are four times the numbe
Anettt [7]
<span><em>12 pennies, 3 nickles, and 2 dimes</em>

p = number of pennies
n = number of nickles
d = number of dimes
p(1) + n(5) + d(10) = 47
that is, the number of pennies x 1 cent + number nickles x 5 cents
+ number of dimes x ten cents equals 47 cents
p = 4n
p + n + d = 17 
Substituting 4n for p in the above
4n + n + d = 17
5n + d = 17
Subtract 5n from each side
d = 17 - 5n
We will now substitute 4n for p and ( 17-5n ) for d in
the equation
p(1) + n(5) + d(10) = 47 
4n(1) +n(5) + (17-5n)(10) = 47

9n + 170 - 50n = 47
-41n + 170 = 47
Subtract 170 from each side
-41n = 47 - 170
-41n = -123
Divide each side by -41
n = 3
Since p = 4n
p = 4(3)
p = 12
Since p + n + d = 17
12 + 3 + d = 17
15 + d = 17
d = 2
So we have 12 pennies, 3 nickles and 2 dimes
12 + 3(5) + 2(10) ?= 47
12 + 15 + 20 ?= 47</span>
3 0
4 years ago
PLEASE HELP IM STUCK ON THIS
BabaBlast [244]
K + 8 > 24
k > 16

(16, infinity)
7 0
3 years ago
The diameter of a sphere is 4 centimeters.
ELEN [110]
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.

V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.

7 0
4 years ago
Read 2 more answers
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