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3 years ago

y=−8x−3 x+y=7 Is (3,4) a solution of the system?

Mathematics

2 answers:

jekas [21]3 years ago

8 0

Answer: No

Step-by-step explanation:

Plug x and y into y=-8x-3 and calculate:

4 = -24 - 3

4 ≠ 27

Therefore (3,4) is not a solution of the system of equations.

Elden [556K]3 years ago

5 0

Answer:

Step-by-step explanation:

The given point does not satisfy the first equation.

y = -8(3) -3 = -27

4 ≠ -27 . . . . . the first equation is not satisfied.

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ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY IF YOU PUT A WRONG ANSW

balu736 [363]

Answer:

60 yd

Step-by-step explanation:

Volume is length x width x height. Therefore in this case, we do 4x3x5 which turns out to be 60. Also don't forget to add yd after your answer because this is measured in yards.

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3 years ago

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nadya68 [22]

Answer: B

Step-by-step explanation:

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3 years ago

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

<u>Solution 2:</u>

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

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3 years ago

The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of

raketka [301]

Answer:

2.28% probability that it will weigh less than 900 grams

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 910, \sigma = 5$

What is the probability that it will weigh less than 900 grams?

This probability is the pvalue of Z when X = 900. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{900 - 910}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

2.28% probability that it will weigh less than 900 grams

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3 years ago

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The fourth graders are going on a field trip to the Zoo. There are 83 students in the fourth grade. If tickets cost $26 each, ho

Sergeu [11.5K]

Answer:

Total trip cost = $2,158

Step-by-step explanation:

Given:

Cost of each ticket = $26

Number of student = 83

Find:

Total trip cost

Computation:

Total trip cost = Cost of each ticket x Number of student

Total trip cost = $26 x 83

Total trip cost = $2,158

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3 years ago

​ y=−8x−3 x+y=7 ​ Is (3,4) a solution of the system? ​

y=−8x−3 x+y=7 Is (3,4) a solution of the system?