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katrin2010 [14]
3 years ago
10

A bar of soap weighs as much as 3/4 of an identical bar plus 3/4 of a pound. How much does the bar of soap weigh?

Mathematics
1 answer:
Advocard [28]3 years ago
5 0
3/4=0.75
Since 3/4 (of the bar) + 1/4 (of the bar) equals a whole bar (1), and 3/4 (of the bar) + 0.75 equals the whole weight of the bar, 0.75 is 1/4 of the bar. 1/4 times 4 equals 1, and 0.75 times 4 equals 3, so the bar of soap weighs 3 pounds.
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Please help I will mark brainlist if correct
love history [14]
--------------------------------------------------------------------------
Equation
-------------------------------------------------------------------------- 
 y - 9  = -  \dfrac{1}{2} (x + 2)

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Rearrange the equation
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y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1  + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8

--------------------------------------------------------------------------  
slope of the perpendicular line
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slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------  
Substitute slope into equation y = mx + c
--------------------------------------------------------------------------- 
y = 2x + c

---------------------------------------------------------------------------  
Find y-intercept
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y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------  
Substitute y-intercept into the equation y = 2x + c
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y = 2x + 4

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Answer: y = 2x + 4
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3 0
3 years ago
What is 3x+4y=16 for x
sergiy2304 [10]
3x + 4y = 16           Write original equation     
3x + 4y - 4y = -4y + 16          Subtract 4y from each side
3x = -4y +16                    Simplify
3x/3 = -4y/3 + 16/3      Divide each side by three
x = -4y/3 +16/3             Simplify

I hope this helps!

4 0
2 years ago
What is the length of chord in O below?
victus00 [196]
Can you add the picture so im able to see and help :)
7 0
2 years ago
Read 2 more answers
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

The test statistics can be computed as:

t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!
marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

\angle CFE=\angle DAB

It is given that the angle DAB is 63 degree.

\angle CFE=63^{\circ}

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

BD=EC

BD=CD+DE

BD=8+10

BD=18

Therefore, the correct option is c.

4 0
2 years ago
Read 2 more answers
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