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soldier1979 [14.2K]

2 years ago

11

How do I do -4p-(1-6p)

1 answer:

patriot [66]2 years ago

8 0

Answer:

2p-1

Step-by-step explanation:

-4p-(1-6p)

when there is "-" in front of an expression, change the sign of each term of the expression.

-4p -1 + 6p

-4p + 6p =2p

2p -1

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In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows a

Dmitry_Shevchenko [17]

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 × 30

= 10 × 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 × 100

= 9 × 20

= 180 houses

6 0

2 years ago

Find the value of x please and thank you

Pachacha [2.7K]

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

$\angle DE F\cong \angle GEH$ (Common angle)

$\angle EDF\cong \angle EGH$ (Corresponding angle)

$\Delta DE F\sim \Delta GEH$ (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

$\dfrac{DE}{GE}=\dfrac{DF}{GH}$

$\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}$

$\dfrac{x+14}{x+5}=2$

$x+14=2(x+5)$

$x+14=2x+10$

Isolating variable terms, we get

$x-2x=-14+10$

$-x=-4$

$x=4$

Therefore, the value of x is equal to 4.

3 0

2 years ago

In humans, coral is sometimes used to replace sections of

Tom [10]

Coral is sometimes used to replace human bone

5 0

3 years ago

In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation

Rainbow [258]

Answer: C. $(29,\ 37.8)$

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

$\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}$

Given : Level of significance : $1-\alpha:0.99$

Then , significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=2.576$

$n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9$

$46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)$

Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides $(29,\ 37.8)$

5 0

3 years ago

What single percentage change is equivalent to a 15% increase followed by a 16% increase?

FromTheMoon [43]

Answer:

15% increased

=16% increased

=17% invreased

Step-by-step explanation:

8 0

2 years ago