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3 years ago

Solve. 4x + 10= 2x – 14

Mathematics

2 answers:

hammer [34]3 years ago

8 0

Answer:

x = -12

Step-by-step explanation:

Step 1: Subtract 2x from both sides

2x + 10 = -14

Step 2: Subtract 10 from both sides

2x = -24

Step 3: Divide both sides by 2

x = -12

dalvyx [7]3 years ago

4 0

Answer:

x = -12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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The area of a circle having radius 14 cm is<br> cm.<br> Use *<br> 22<br> 7

DaniilM [7]

Answer:

A=616cm²

Step-by-step explanation:

The question says to use

$\frac{22}{7}$

for pi, now that we know that we proceed like normal and do the formula like this.

$\frac{22}{7} {r}^{2} \\\frac{22}{7} \times 196 \\ = 616$

6 0

3 years ago

West middle school ordered 121 boxes of markers. If there are 22 teachers how many boxes does each teacher get? Write answer as

never [62]

The answer should be 5.5 because you have to divide it. The fraction would be 5 over 10

6 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

Help me solve this problem please

allochka39001 [22]

Answer:

Step-by-step explanation:

4^2+x^2 = 15^2

x^2 = 15^2 - 4^2 = 225-16 = 209

x=sqrt(209)

x = 14.46

6 0

3 years ago

The ratio of boys to girls who play soccer in Mr. Fraser’s class is 14:6. If there were 400students in the school, how many boys

ollegr [7]

Answer:

280

Step-by-step explanation:

Set up a ratio to solve.

Mr. Fraser's class has 20 soccer playing students, and 14 are boys.

14/20 = x/400

Cross multiply. 20x= 5600

Divide by 20 to solve

x= 280

5 0

2 years ago