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3 years ago

How to solve -13 - ¼h = 7

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

Answer h=-80
vvv STEP BY STEP vvv
Multiply both sides of the equation by
52-h=28

Move constant to the right-hand side and change its sign
-h=28+52

Add the numbers
-h=80

Change the signs on both sides of the equation
h=-80

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Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number La

mojhsa [17]

Answer:

$T= 8p+1$

Step-by-step explanation:

Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.

To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.

Solution :

Let total number of tomatoe plants be T

Since we are given that Lauryn grew tomato plants = p

We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.

⇒ $3p-5$

We are also given that Kent grew 6 more than 4 times the number Lauryn grew.

⇒ $4p+6$

So, total number of tomato plants :

⇒ $T= p+3p-5+4p+6$

⇒ $T= 8p+1$

Hence a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is $T= 8p+1$

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4 years ago

A(-5,-4) ——> A’ is a glide reflection where the translation is (x,y)—->(x+6,y), and the line of reflection is y=3. What ar

Nastasia [14]

Solution:

The Point in the coordinate plane is A(-5,-4).

Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is

$=\sqrt{(-5+5)^2+(3+4)^2}\\\\=7$

When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).

Now, the Point B is translated by the rule , (x,y)—->(x+6,y),

So,the point B is translated to, (-5+6,10)=(1,10)

Option C: (1,10) is the glide reflection of point A(-5,-4).

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4 years ago

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In the process of completing the square, 3x^2+7x-12 becomes x^2+7/4x=4. True or False

Ilia_Sergeevich [38]

Answer: False

Step-by-step explanation:

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3 years ago

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 day

irina1246 [14]

Answer:

P ( x_bar ≥ 51 ) = 0.0432

Step-by-step explanation:

Solution:-

- The random variable "X" denotes:

X : life expectancies of a certain protozoan

- The variable "X" follows normal distribution.

X ~ Norm ( 48 , 10.5^2 )

- A sample of n = 36 days was taken.

- The sample is also modeled to be normally distributed:

x ~ Norm ( 48 , ( 10.5 / √n)^2 )

- The sample standard deviation s = 10.5 / √n = 10.5 / √36

s = 1.75

- We are to investigate the the probability of sample mean x_bar ≥ 51 days:

P ( x_bar ≥ 51 )

- Standardize the results, evaluate Z-score:

P ( Z ≥ ( x_bar - u ) / s ) = P ( Z ≥ ( 51 - 48 ) / 1.75 )

P ( Z ≥ 1.7142 ).

- Use the standardized normal table and evaluate:

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Hence, P ( x_bar ≥ 51 ) = 0.0432

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3 years ago

I don’t get number 7

VikaD [51]

C because 43 divided by 50 is 0.86

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3 years ago

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