Arrange the children in ascending order of their weights.
Nayana : 28.76 kg
Aman:32.63 kg
Asif: 32.36 kg
Alka: 31.05 kg
​

Answer:

x<_ 4

Step-by-step explanation:

first you distribute 5 to equal 5-35x+5 then you would carry the non variables to one side to be -35x>_-140 and the you would flip the sides because te variable is negative so it would be -35x<_ -140 the divid to get x<_4

7x - 2 = - 44

7x - 2 + 2 = - 44 + 2

7x = - 42

x = -42/7

x = -6

check

7 * (-6) + (-2) = - 42 - 2 = - 44

Answer:

7x+ (-2)=-44

x= -6

Step-by-step explanation:

you're welcome

Answer:

(-7, -3)

Step-by-step explanation:

Answer:

[tex] x = 20 [/tex]

Step-by-step explanation:

[tex] \frac{3}{5}x - \frac{1}{4}x = 7 [/tex]

The LCD is 20, so multiply both sides of the equation by 20.

[tex] 20(\frac{3}{5}x - \frac{1}{4}x) = 20 \times 7 [/tex]

[tex] 4 \times 3x - 5 \times x = 140 [/tex]

[tex] 12x - 5x = 140 [/tex]

[tex] 7x = 140 [/tex]

[tex] x = 20 [/tex]

Answer:

C

Step-by-step explanation:

we want to "isolate" h (height). that means "h" needs to be alone on one side of the equation, and all other factors need to be brought to the other side.

so, yes, we need to divide both sides by all factors of h : pi and r². only then will we have the isolated h on one side.

therefore, dividing both sides by pi is a good first step.

The percentage of the boys at the book fair is 6%

Percentages are used in mathematics as a decimal ratio expressed in a fraction of 100. It is represented with a symbol known as %.

At a book fair, the ratio of adults to children are:

7 : 3

The total number of people at the book fair = 7 + 3 = 10

The percentage of adults are:

[tex]\mathbf{=\dfrac{7}{10}\times 100\%}[/tex]

= 70% are adults

The percentage of children are:

 [tex]\mathbf{=\dfrac{3}{10}\times 100\%}[/tex]

= 30% are children

However, if from the children, 4 are girls and 1 is a boy.

The total number of children at the fair  = 4 + 1 = 5

The percentage of girls are:

[tex]\mathbf{=\dfrac{4}{5} \times 30\%}[/tex]

= 24%

The percentage of boys at the book fair is:

[tex]\mathbf{=\dfrac{1}{5} \times 30\%}[/tex]

= 6%

Learn more about percentages here:

https://brainly.com/question/24304697

71 = When Is St. Patrick’s Day?

St. Patrick’s Day is officially observed on March 17 each year, though celebrations may not be limited to this date. The significance of March 17 is that it’s said to be the date of St. Patrick’s death in the late 5th century (circa A.D. 493).

St. Patrick’s Day Dates

Year St. Patrick’s Day

2021 Wednesday, March 17

2022 Thursday, March 17

2023 Friday, March 17

2024 Sunday*, March 17

73 = 28

The price before the festive season is $488.75

Data;

To calculate the price before the festive season, we simply need to subtract 15% from $575.

[tex]\frac{15}{100} = \frac{x}{575} \\x = 86.25[/tex]

The increase in the ticket is $86.25., Let's calculate the price before the festive season.

[tex]$575 - 86.25 = 488.75[/tex]

The price before the festive season is $488.75

Learn more on percentage here;

https://brainly.com/question/25545513

#SPJ1

5m < 6m + 6

5m - 6m < 6

- m < 6

x > - 6

- 5 is ok

check

5 * (-5) = - 25

6 * (-5) + 6 = - 24

and - 25 < - 24 is correct

Answer:

1. 84in³

2. 180cm³

3. 600ft³

4. 360cm³

5. 312cm³

6. 15.6kg

7. 1.95kg

Step-by-step explanation:

1: V = Bh = (7x3)x4 = 84in³

2: V = Bh = 1/2(8x5) x 9

               = 20 x 9

               = 180cm³

3: V = Bh = 1/2(b1+b2) h    x     5

               = 1/2(20+10) 8    x     5

               = 15 x 8 x 5

               = 15 x 40

               = 600ft³

4: V = Bh = 1/2 (4x9) x 20

               = 18 x 20

               = 360cm³

5: Total volume = Volume of rectangular prism + Volume of triangular block

                          = (8.5 x 4 x 9) + 1/2(1.5 x 2) x 4

                          = 306 + 6

                          = 312cm³

6: divide 312cm³ by 20kg/cm³ to get the approx. mass:

              312/20 = 15.6kg

7: first find the volume of the friends Display:

                          = (4.25 x 2 x 4.5) + 1/2(0.75 x 1) x 2

                          = 38.25 + 0.75

                          = 39cm³

Now divide by 20 to find the approx. weight of the friends display:

39/20 = 1.95kg

Have a nice day! :)

Answer:

It is not true it is false.

Step-by-step explanation:

since 2^2+3^2=4^2

4+9=16

13≠16

Step-by-step explanation:

No.

2² + 3² = 4 + 9 = 13.

4² = 16.

13 ≠ 16.

Answer:

The area of the shaded region is

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find equivalent fractions, we multiply the numerator and the denominator by the same number, so we need to multiply the denominator of 7 by a number that will give us 21. Since 3 multiplied by 7 gives us 21, we can find an equivalent fraction by multiplying both the numerator and denominator by 3.Oct 4, 2021

Answer:  i am not sure

Step-by-step explanation:

let me look it up

Answer: -13/2

Step-by-step explanation: hope this helps plz mark as brainliest:)

Answer:

3000

Step-by-step explanation:

Answer:

the answer is 3000

Step-by-step explanation:

5000 -2000=3000

Answer:

5/4

Step-by-step explanation:

If the equation is

[tex] y = \dfrac{5}{4}x - \dfrac{7}{4} [/tex]

then the slope is the number multiplying x, so

slope = 5/4.

Answer:

5/4.

The x is a variable, not a multiplication sign.

The equation is

y=mx+b

the slope is the m.

Step-by-step explanation:

so you have to make an equation where you let x=the number, so it would be

x+(2/3)x+(1/4)x=5 3/4

you combine the like terms to get

(23/12)x = 5 3/4

multiply both sides by the reciprocal of 23/12 to isolate x, and you're left with

x=36/92, which simplifies to 9/23.

Answer:

See below

Step-by-step explanation:

Q1.

value.

The words to be interchanged are underlined. The function as per definition has exactly one output for each input.

Q2.

Part A

Part B

Answer:

below

Step-by-step explanation:

Question 1:

In a function, every output value corresponds to exactly one input value.

The words that should be switched around are "output" and "input". This is because every input should have have only ONE output.

Question 2:

The following graph fails the vertical line test and is not a function. (YES)

Using the vertical line test to test whether the vertical line passes through the graphed function more then once. If it does, its not a function. If it doesn't, it is a function. Sadly, the vertical lines pass the point on two separate occasions which makes it not a function.

The vertical line shows gives the points (4, 2) and (4, -2).

Best of Luck!

Problem 8

Answer: angle LSO and angle MSN

--------------

Explanation:

Vertical angles form when we intersect two line segments, lines, or rays. Vertical angles are opposite one another and they are always congruent.

=============================================

Problem 9

Answer: angle LMS and angle SMN

--------------

Explanation:

Adjacent angles share a common line, line segment, or ray. Think of two adjacent rooms sharing a common wall between them. In the case of the answer above, the two angles share the common segment SM (note how S and M are part of LMS and SMN)

When it comes to naming angles, the middle letter is always the vertex of the angle. This is the hinge so to speak. Or you could picture a pair of scissors. For angle LMS, the arms LM and SM are the two blades of the scissors while point M is where the blades meet.

=============================================

Problem 10

Answer: angle LSM and angle MSN

--------------

Explanation:

Same idea as problem 9. Now we're making S the middle letter. Something like angle LSM is the same as angle MSL.

In this case, the two adjacent angles form a straight line. We consider these two angles a linear pair.

=============================================

Problem 11

Answer: angle LSO and angle OSN

--------------

Explanation:

The term linear pair was discussed back in problem 10. So you could list those two angles again, or you could go with another pair as shown above. All that matters is that they are adjacent angles and they are supplementary angles (they add to 180 degrees). There are many possible answers.

Something like the angle pair angle LOS and angle NOS are adjacent angles, but they aren't supplementary. So we don't meet the condition of a linear pair here.

Answer:

Step-by-step explanation:

(x +1)² + (x +1)(5x - 3) = (x +1)(x+1) + (x +1)(5x - 3)

(x +10 is the common term. SO, we can take out (x+1)  

                                 =(x +1) [ x + 1 + 5x - 3]

                                 =(x + 1) (x + 5x + 1 - 3)   {Combine like terms}

                                  = (x +1)(6x  -2)

Answer:

The answer would be D.

Step-by-step explanation:

The answer would be D since 3 and -3 are opposite numbers (they are the same distance in units away from 0) and they add up to 0.

Hope this helps :)

Answer: The correct answer is D

Step-by-step explanation:

It’s D because -3 and 3 equal 0.

Answer:

total question = 30

question from ch 5 = 6

remaining questions = 30-6 = 24

ratio = 6 : 24 = 1 : 4 answer

Answer:

2.5 means “two and five tenths”, or  2+5/10 . Adding two positive numbers together will make a number that’s larger than either of those two numbers, so 2.5 is greater than 2.

Step-by-step explanation:

2.5 is greater than 2.

Hopefully this helps you!

-Keira

Using the t-distribution, as we have the standard deviation for the sample, it is found that it cannot be concluded that the diet has a long-term effect.

At the null hypotheses, it is tested if there is no difference in the weights, that is:

[tex]H_0: \mu_A - \mu_B = 0[/tex]

At the alternative hypotheses, it is tested if the weights decrease, that is:

[tex]H_1: \mu_A - \mu_B < 0[/tex]

Using a calculator, for each sample, we have that:

[tex]\mu_B = 210.8, s_B = 33.85, sE_B = \frac{33.85}{\sqrt{15}} = 8.74[/tex]

[tex]\mu_A = 207.2, s_A = 33.47, sE_A = \frac{33.47}{\sqrt{15}} = 8.64[/tex]

Hence, for the distribution of differences, we have that:

[tex]\overline{x} = \mu_A - \mu_B = 207.2 - 210.8 = -3.6[/tex]

[tex]s = \sqrt{sE_B^2 + sE_A^2} = \sqrt{8.74^2 + 8.64^2} = 12.3[/tex]

It is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Then:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{-3.6 - 0}{12.3}[/tex]

[tex]t = -0.29[/tex]

Considering a left-tailed test, as we are testing if the mean is less than a value, with a standard significance level of 0.05 and 15 + 15 - 2 = 28 df, the critical value is of [tex]t^{\ast} = -1.7[/tex].

Since the test statistic is greater than the critical value for the left tailed test, it cannot be concluded that the diet has a long-term effect, as the null hypothesis is not rejected.

To learn more about the t-distribution, you can check https://brainly.com/question/13873630

Step-by-step explanation:

it dropped to Celsius degree

Answer:

-1/4x

Step-by-step explanation:

Answer:

2 1/6

Step-by-step explanation:

How we calculate this is make the two fractions denominators the same so we can make them both 6.

for the 3 we times it by 2 and 2 by 3.

so our 2 fractions are now 2 4/6 and 3/6 Now

so if we take away 3 of 4 we get 1 so 2 and 4/6 is now 2 and 1/6

Meaning the 2 1/6 is what she has left so if she gives that all to her brother he gets that and there's your answer.

Hope it helps have a great afternoon:)

Answer: Hi

Step-by-step explanation: