6 blue slabs have a mean weight of 7 kg. 3 yellow slabs have a mean weight of 5 kg. 1 grey slab has a mean weight of 9kg. work out the mean of 10 slabs

Answers

Answer 1

Answer: 6.6kg

Step-by-step explanation:

6 blue slabs have a mean weight of 7 kg. The total weight of the 6 blue slabs will be:

= 6 × 7kg

= 42 kg

3 yellow slabs have a mean weight of 5 kg. The total weight of the 3 yellow slabs will be:

= 3 × 5kg

= 15kg

1 grey slab has a mean weight of 9kg.

To get the mean of the 10 slabs, we add their total weights together and divide by 10. This will be:

= (42kg + 15kg + 9kg)/10

= 66kg/10

= 6.6kg

Answer 2

Based on the information given the mean of 10 slabs is 6.6 kg.

Formulate

(9+5×3+6×7)/10

Calculate the quotient

9+15+6×7/10

9+15+42/10

Calculate the sum or difference

24+42/10

66/10

Reduce the fraction

33/5

Hence:

Mean=6.6 kg

Inconclusion  the mean of 10 slabs is 6.6 kg.

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Related Questions

Which statement most accurately describes what happens when a bar of chocolate melts? A. A physical change takes place that causes molecules to move slower. B. A physical change takes place that causes molecules to move faster. C. A chemical change takes place that causes molecules to move faster. D. A chemical change takes place that causes molecules to move slower.

Answers

Answer:

(B). A physical change takes place that causes molecules to move faster

Step-by-step explanation:

When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.

When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.

what is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)​

Answers

Answer:

y= -5x - 21

Step-by-step explanation:

parallel lines have the same slope, so you know the slope.

you need to use the point slope formula y-y1=m(x-x1)

with this equation, this looks like y - -1 =- 5(x - -4)

double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)

distribute the -5. you should get y + 1 = -5x - 20

subtract 1 to move it from the left side to the right and you get your answer!

y = -5x - 21

unit 1 test algebra 2

Answers

6) (-7,4) D or (4)

7) -7,0,5 A or (1)

8) 3x +5 C or (3)

9) 2 B or (2)

6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

We have,

6)

x² + 8x - 15 = 5x + 13

Rearranging the equation:

x² + 8x - 5x - 15 - 13 = 0

x² + 3x - 28 = 0

Now, factorize the quadratic equation:

(x + 7)(x - 4) = 0

Setting each factor equal to zero:

x + 7 = 0 or x - 4 = 0

Solving for x:

x = -7 or x = 4

7)

2x (x - 5) (x + 7) = 0

Setting each factor equal to zero:

2x = 0 or x - 5 = 0 or x + 7 = 0

Solving for x:

x = 0 or x = 5 or x = -7

8)

(x + 5) (x + 8 + 2x - 3)

Simplifying the expression inside the parentheses:

(x + 5) (3x + 5)

9)

x³ - 5x² + 2x + 13 = 5

Substitute each integer value from 0 to 10 into the equation and count the number of solutions.

Substituting each integer value,

x = 0,

x³ - 5x² + 2x + 13 = 5

0 - 0 + 0 + 13 = 5

13 = 5

Not true.

Similarly,

x = 2,

x³ - 5x² + 2x + 13 = 5

8 - 20 + 4 + 13 = 5

25 - 20 = 5

5 = 5

True.

x = 4,

x³ - 5x² + 2x + 13 = 5

64 - 80 + 8 + 13 = 5

85 - 80 = 5

5 = 5

True.

There are two integer solutions:

x = 2 and x = 4.

Therefore,

The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

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Which number line shows the graph of -2.75 -3
-2
-1
0
1
2
3
0
1
2.
3
-3 -2
-1
0
1
2 3
-3 -2
0
1
2.
3

Answers

Answer:

B.

Step-by-step Explanation:

The correct number line for -2.75 < x in the given options is the second diagram.

What is number line?

A number line is a picture of straight line that represents real numbers. These real numbers include both negative and positive numbers.

For the given expression which -2.75 < x, that is negative 2.75 is less than x or x is greater than negative 2.75.

On the number line, the arrow with unshaded circular bottom must start from -2.75 and point towards the right.

Thus, the correct number line in the given options is the second diagram or option B.

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I cant seem to understand this. Please, someone help :)

Answers

Answer:

76

Step-by-step explanation:

If (x+5) is one of the factors of the polynomial x3 + x2 - 32x - 60, find the remaining roots.

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

Step-by-step explanation:

Answer:

x = 5

x = 2

x = -6

Step-by-step explanation:

Use synthetic division to determine whether x – 4 is a factor of:

–2x5 + 6x4 + 10x3 – 6x2 – 9x + 4

For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:

completed division

Since the remainder is zero, then x = 4 is indeed a zero of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4, so:

Yes, x – 4 is a factor of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4

Find all the factors of 15x4 + x3 – 52x2 + 20x + 16 by using synthetic division.

Remember that, if x = a is a zero, then x – a is a factor. So use the Rational Roots Test (and maybe a quick graph) to find a good value to test for a zero (x-intercept). I'll try x = 1:

completed division

This division gives a zero remainder, so x = 1 must be a zero, which means that  x – 1 is a factor. Since I divided a linear factor (namely, x – 1) out of the original polynomial, then my result has to be a cubic: 15x3 + 16x2 – 36x – 16. So I need to find another zero before I can apply the Quadratic Formula. I'll try x = –2:

completed division

Since I got a zero remainder, then x = –2 is a zero, so x + 2 is a factor. Plus, I'm now down to a quadratic, 15x2 – 14x – 8, which happens to factor as:

(3x – 4)(5x + 2)

Then the fully-factored form of the original polynomial is:

15x4 + x3 – 52x2 + 20x + 16

= (x – 1)(x + 2)(3x – 4)(5x + 2)

Given that  x = -3 + sqrt(11)   is a zero of x4 + 6x3 – 7x2 – 30x + 10, fully solve the

equation x4 + 6x3 – 7x2 – 30x + 10 = 0.

Since they have given me one of the zeroes, I'll use synthetic division to divide it out:

completed division

(You will probably want to use scratch paper for the computations required when manipulating the radical root.) Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved

Since you only get these square-root answers by using the Quadratic Formula, and since the square-root part of the Formula is preceded by a "plus-minus" sign, then these square-root answers must always come in pairs. Thus, if x = -3 + sqrt(11) is a root, then so also must x = -3 - sqrt(11) be a root. So my next step is to divide by x = -3 - sqrt(11):

completed division

I had started with a fourth-power polynomial. After the first division, I was left with a cubic (with very nasty coefficients!). After the second division, I'm now down to a quadratic (x2 + 0x – 5, or just x2 – 5), which I know how to solve:

x = +/- sqrt(5)

Then the full solution is:

x = -3 +/- sqrt(11), +/- sqrt(5)

If you have studied complex numbers, then you may see a problem of the following type.

Given that 2 – i is a zero of x5 – 6x4 + 11x3 – x2 – 14x + 5, fully solve the

equation  x5 – 6x4 + 11x3 – x2 – 14x + 5 = 0.

They have given us a zero, so I'll use synthetic division and divide out 2 – i:

completed division

(You will probably want to use scratch paper for the computations required when doing complex division.)

Recall that, to arrive at a zero of 2 – i, they must have used the Quadratic Formula, which always spits out complex answers in pairs. That is, you get the imaginary part (the part with the "i") from having a negative inside the "plus or minus square-root of" part of the Formula. This means that, since 2 – i is a zero, then 2 + i must also be a zero.  So I'll divide by 2 + i:

completed division

This leaves me with a cubic, so I'll need to find another zero on my own. (That is, I can't apply the Quadratic Formula yet.) I can use the Rational Roots Test to help find potential zeroes, and a quick graph of x3 – 2x2 – 2x + 1 can help. I will try x = –1:

completed division

Now I'm down to a quadratic (x2 – 3x + 1, which happens not to factor), so I'll apply the Quadratic Formula to get:

x = (3 +/- sqrt(5))/2

Then all the zeroes of x5 – 6x4 + 11x3 – x2 – 14x + 5 are given by:

x = 2 - i, 2 + i, (3 - sqrt(5))/2, (3 + sqrt(5))/2, -1

Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?

Answers

Answer:

You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.

plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)

Answers

Answer:

2/3

Step-by-step explanation:

3-1/5-2=

2/3

If △EFG ≅ △HJK, complete each part.

Answers

Answer:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH

Step-by-step explanation:

Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.

Thus:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)

△EFG ≅ △HJK,

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE △JKH

Given that

△EFG ≅ △HJK,

Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.

Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are  equal to the corresponding angles of other triangle and  all the  sides of one triangle are equal to  corresponding sides of other triangle.

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE △JKH

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To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
400 milligrams
480 milligrams
550 milligrams
600 milligrams

Answers

Answer:

138/92*320 = 480 milligrams. ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds. 2.

Step-by-step explanation:

I hope I help :)

-8x + 2c = -3, for x

Answers

Answer:

x=3/8+c/4

Step-by-step explanation:

What is the answer to 3-(-8)

Answers

Answer:

11

Step-by-step explanation:

3 - (-8) = 3 + 8 = 11

Answer: 11

Step-by-step explanation:

This is because when you subtract a negative number from a positive you get a positive (here's a lil trick if you have 2 minuses In a row they become a plus sign) so the answer is 11

What is the slope,m, of the table?

What is the y-intercept,b, of the table?

What is the equation that represents the table?

Answers

Answer:

9

Step-by-step explanation:

Determine the equation of the line represented in the graph below.

y = 2/3x - 1
y = 3/2x - 1
y = 2/3x + 1
y = 3/2x + 1

Answers

y=2/3x-1

This is the answer because the y intercept is -1, which is what it is on the graph. The slope if 2/3 meaning you rise 2(go up 2 units) and run 3(go right 3 units) which can be seen between the points in the graph.

Answer:

2/3x-1

Step-by-step explanation:

Anyone know how to do this? pls explain how

Answers

23. 47
24. 11
25. 61
26. 43
27. 266
28. 9

What quadrant does -495 lie in?

Answers

It would lie between 180 and 220

Use an integer strategy to find each answer.
(-4) + (-8) + 11 – (-2)

Answers

Answer:

1

Step-by-step explanation:

(-4) + (-8) + 11 - (-2)

~Simplify

-4 - 8 + 11 + 2

~Subtract

-12 + 11 + 2

~Add

-1 + 2

~Add

1

Best of Luck!

if any of you guys know someone named shurmpy or molly plz tell me they real good freinds to me

Answers

Answer:

ok

Step-by-step explanation:

no clue what to do lol

Answers

Answer:

Thanks for the free points

Answer:

So, the answer for b is 20.

The way to figure this out is:

angle N is congruent to angle S

angle M is congruent to angle M

side NM is 10

because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)

Hope that helps! Let me know if it does! ;P

-2 1/2 divided by 3 1/2 ?

Answers

Step-by-step explanation:

[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]

Helpp me pls for this one

Answers

Answer:

5

Step-by-step explanation:

Select the correct answer.
How does Gary's character reflect the passage's theme?
A.
The character's dialogue reveals that heroes are people of very few words.
B.
The character demonstrates that all kids are afraid of being caught skipping class.
C.
The character illustrates that bullies do not care whom they push around.
D.
The character's transformation shows that the unlikeliest of people can be heroes.

Answers

Answer:

D?

Step-by-step explanation:

I think so

Answer:

D.The character's transformation shows that the unlikeliest of people can be heroes.

select the cost of 2 pounds of blueberries

$2

$4.50

$9

$14.00

Answers

The answer is $9 :).
9$ is the correct answer

Please help me with this is really important here is the picture

Answers

Answer:

constant speed 35

Step-by-step explanation:

at 1 hour its above 35. its a constant speed because its a straight line. is that complete enough for you moderator

the answer is the speed is 35

HELP PLS BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

83

Step-by-step explanation:

Answer:

x = 59

y = 83

Step-by-step explanation:

First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.

Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.

Using the Triangle Sum Theorem again, you will find that x is 59.

Is this isosceles triangle acute or equiangular?

Answers

Answer:

Equiangular triangle

Step-by-step explanation:

anyone know this ? for math , thank you

Answers

Answer: The  y=2

Step-by-step explanation:

Triangle DEF with vertices D(1, 2), E(3, 4), and F(1,4), is reflected across the y-axis, and then its image is reflected across the line y = x. Which single transformation moves the triangle from its starting position to its final position?​

Answers

Answer:

Reflect over the x-axis

The single transformation of the given triangle will be rotation clockwise 90°.

What is the transformation of graphs?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.

Graph reflection is the mirror image of a graph across any axis.

For example reflection of y = x about the x-axis like that.

Given vertices has plotted below.

As it is clear that if we rotate by 90° clockwise then we will get reflected across the line y = x.

For more information transformation of the graph,

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i need help with problem 16

Answers

All you need to do is divide. So the answer will be 2 cookies per minute

Answer:

she decorated two cookies per minute

Step-by-step explanation:

72 cookies divided by 36 minutes

I Got renegade Raider From Fortnite For Free add me and like heart me if you want to learn how to get it

Answers

Answer:

that's fake right?

Step-by-step explanation:

¯\_(ツ)_/¯

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