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3 years ago

N What is the solution to the equation 36 – 5x = 5 – 6(x - 4) ? 68bpoints

Mathematics

2 answers:

STALIN [3.7K]3 years ago

4 0

Step-by-step explanation:

36-5x=5-6(x-4)

36-5x=5-6x+24

-5x+6x=24+5-36

x=29-36

x=-7

stellarik [79]3 years ago

4 0

Answer:

x = -7

Explanation:

36 − 5x = 5 − 6(x − 4)

[ Simplify both sides of the equation ]

36 − 5x = 5 − 6(x − 4)

36 + −5x = 5 + (−6)(x) + (−6)(−4) [ Distribute ]

36 + −5x = 5 + −6x + 24

−5x + 36 = (−6x) + (5 + 24) [ Combine Like Terms ]

−5x + 36 = −6x + 29

[ Step 2: Add 6x to both sides ]

−5x + 36 + 6x = −6x + 29 + 6x

x + 36 = 29

[ Step 3: Subtract 36 from both sides ]

x + 36 − 36 = 29 − 36

x = −7

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In 4 hours, an experienced cook prepares enough pies to supply a local restaurant's daily order. Another cook prepares the sam

vodka [1.7K]

Answer:

$9\frac{1}{3}hours$

Step-by-step explanation:

Let third cook take x hours to prepare the same number of pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies= $\frac{y}{x}$

One experienced cook takes time to prepare enough pies =4 hours

In 1 hour , cook prepare pies= $\frac{y}{4}$

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies= $\frac{y}{7}$

All three cooks take time to prepare the same number of pies=2 hours

In 1 hour,all three cooks prepare pies= $\frac{y}{2}$

According to question

$\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}$

$y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}$

$\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}$

$\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}$

$\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}$

$x=\frac{28}{3}=9\frac{1}{3}$ hours

Hence, the third cook takes time to prepare the same number of pies alone= $9\frac{1}{3}hours$

8 0

3 years ago

What are the possible vaules of x it (4x-5)2=49?

d1i1m1o1n [39]

$\boxed{The\:value\:of\:x\:is\:7.375.}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$(4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375$

Therefore, the value of x is 7.375.

${ \bf{ \underbrace{To\:verify :}}}$

$(4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S$

Hence verifed.

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

8 0

3 years ago

Read 2 more answers

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

5 0

3 years ago

What is PIE???????????????????????????????????

SSSSS [86.1K]

Pi is approximately 3.14.
Or if you want precision, here's the first 1000 places...
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7 0

3 years ago

Read 2 more answers

Please help A. 63 B. 72 C. 81 D. 108

Tom [10]

Answer:

D.108 is correct.

Step-by-step explanation:

6*3 = 18

18*4 = 72

6*6 = 32

72 + 32 = 108

Have a nice day!

5 0

3 years ago