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3 years ago

If 2x -3(x+4)=-5, Then x=

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

$2x-3(x+4)=-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\2x+(-3)(x)+(-3)(4)=-5\\\\2x-3x-12=-5\qquad\text{add 12 to both sides}\\\\-x=7\qquad\text{change the signs}\\\\x=-7$

kherson [118]3 years ago

3 0

The answer is -7

2x-3(x+4)=-5

Multiply by -3

2x-3x-12=-5

Collect like terms

-x-12=-5

Move constant to the right to change its sign

-x=-5+12

Add

-x=7

Change the signs

x=-7

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The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.

djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

where,

$r_1$ = radius of sphere = $\frac{Diamtere}{2}=\frac{8cm}{2}=4cm$

$r_2$ = radius of cylindrical wire = $\frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm$

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

$\frac{4}{3}\times r_1^3=r_2^2h$

$\frac{4}{3}\times (4)^3=(0.1)^2h$

$h=8533.33cm\approx 8533cm$

Therefore, the length of the wire is, 8533 cm

6 0

3 years ago

BE is a diagonal in the regular pentagon. What is the m

vovangra [49]

Hiiii have a great day BE and u add 33o

8 0

3 years ago

The median is 28; 16,24,x,48

Nookie1986 [14]

x = 32

To find the media, you take the middle number. If there is no discrete middle number, take the sum of the two closest to the middle and divide by 2.

(24 + x)/2 = 28

Multiply by 2 on both sides to get:

24 + x = 56

Subtract 24 from both sides to isolate the variable:

x = 56 - 24
x = 32

3 0

3 years ago

(1,-6,); (9,-8)<br> Slope <br><br><br><br><br> Best answer =branniest

nignag [31]

Answer:-1/4

Why? Slope=rise/run and can be found with the difference of y over the difference of x
-8- -6= -2
9-1= 8
so the slope is -2/8 but you have to simplify so you get
-1/4

Hope this helps

6 0

3 years ago

State the null and alternative hypotheses for the statistical test described below. Your answer should be an expression composed

Artyom0805 [142]

Answer:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

Step-by-step explanation:

For this question we need to take in count that the the claim that they want to test is "if the proportion is greater than 0.3". Our parameter of interest for this case is $p$ and the estimator for this parameter is given by this statistic $\hat p$ obtained from the info of sa sample obtained.

The sample proportion would be given by:

$\hat p = \frac{X}{n}$

Where X represent the success and n the sample size selected

The alternative hypothesis on this case would be specified by the claim and the complement would be the null hypothesis. Based on this the system of hypothesis for this case are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

And in order to check the hypothesis we can use the one sample z test for a proportion with the following statistic:

$z = \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}$

5 0

3 years ago

If 2x -3(x+4)=-5, Then x=​

If 2x -3(x+4)=-5, Then x=