a , a , b and 40 are four numbers. a is the least number. 40 is the greatest number. The range of the four numbers is 14 The median of the four numbers is 30 Work out the value of a and the value of b .

Answers

Answer 1

Answer:

a=26

b=34

Step-by-step explanation:

a=(40-14=)26

and because there is an even amount of numbers in the sequence, 30 would have to be halfway between a and b making b 34


Related Questions

I’ll mark you if you’re right:)

Answers

Answer: z=74 , x=6

Step-by-step explanation:

Z = 74

12x+34=180-74

12x=72

x= 6

Answer:

x=6

z=74

Step-by-step explanation:

z and 74 are vertical angles and vertical angles are equal

z = 74

74 and 12x+34 are supplementary angles since they form a line. Supplementary angles  add to 180.  

74+ 12x+34 = 180

Combine like terms

12x+108 = 180

Subtract 108 from each side

12x = 180-108

12x = 72

Divide by 12

12x/12 = 72/12

x =6

Match the justification to each statement in the solution of x + 12.7 = -25.2.

Answers

Answer:

1) x+12.7=-25.2 is given

2)x+12.7-12.7=-25.2-12.7 is the subtraction property of equality(subtracting on both sides)

3)x+0=-37.9(add. inverse/simplification since we're simplifying the equation)

x=-37.9(identity property of addition since x+0 is just x)

Hope this helps!

PLS ANSWER BEFORE 7/12/18 THANK YOU!!!


Mrs. Herby bought some carrots. She put 2/5 of them on a platter and the rest in a plastic bag. If there were 8 carrots on the platter, how many carrots were there in the plastic bag?

Answers

the decimal answer is 4.8 so i think you would count it as just 4, please be the first person to give my brainliest :)))

Answer:

12

Step-by-step explanation:

Find the surface area

Answers

Answer:

Step-by-step explanation:

area of top=7×6=42 yd²

area of bottom=3×6=18 yd²

area of two rectangles=2[4×6]=48 yd²

area of two trapezoids=2[1/2(7+3)×3.5]=35 yd²

total surface area=42+18+48+35=143 yd²

which is the recursive formula for this geometric sequence? -16, -7, 2, 11,

Answers

Answer:

A

Step-by-step explanation:

[tex]a_{1}=-16\\c.d. d=-7-(-16)=-7+16=9\\a_{n}=a_{n-1}+d\\a_{n}=a_{n-1}+9[/tex]

Answer:

a1=-16

an=an-1+9

Step-by-step explanation:

This is for clarification for the person above who probably made it confusing for some people

Remember, the letter doesnt matter, because everyones test is in a different order.

A man has 2 pennies, 3 nickels, 1 dime, and 2 quarters. How many different sums of money can he make using one or more of these 8 coins? I’ll mark brainliest for the answer that includes an explanation :)

Answers

9514 1404 393

Answer:

  47

Step-by-step explanation:

There are 4 distinct coin values. The numbers of these are 2, 3, 1, 2. Adding 1 to this set gives us 3, 4, 2, 3, and the product of these numbers is 72.

This is the number of distinct subsets of the coins. However, even though a subset of the coins may be distinct, it may still have the same monetary value as another subset. There are 24 values that can be formed two ways:

  10, 11, 12, 15, 16, 17, 25, 26, 27, 35, 36, 37,

  40, 41, 42, 50, 51, 52, 60, 61, 62, 65, 66, 67

In general, these involve replacing a dime with 2 nickels, or a quarter with a dime and 3 nickels.

So, removing the value of 0 from the list of 72 possible values, along with these 24 duplicates, leaves a total of 47 different sums of money.

__

Those sums are ...

  1, 2, 5, 6, 7, 10, 11, 12, 15, 16, 17, 20,

  21, 22, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40,

  41, 42, 45, 46, 47, 50, 51, 52, 55, 56, 57, 60,

  61, 62, 65, 66, 67, 70, 71, 72, 75, 76, 77

Answer:47

Step-by-step explanation:

Randall built a scale model of a barn he wants to construct. What is the total volume of the model Round your answer to the nearest tenth.

3,254.0 cm^3
326.4 cm^3
3,100.8 cm^3
4,243.2 cm^3
1,305.6 cm^3

Answers

Answer:

2764.8cm³

Step-by-step explanation:

Looking at the diagram, the barn is a combination of 2 geometric shapes, a cuboid and Triangular prism

Step 1

Find the volume of the cuboid

Volume of the cuboid = Length × Width × Height

Length = 10cm

Width = 20.4cm

Height = 11.2cm

Volume = 10cm × 20.4cm × 11.2cm

Volume = 2284.8cm³

Step 2

Volume of Triangular prism = 1/2 × base × height × length

= 1/2 × 8 × 12 × 10

= 480cm³

Total volume = 2284.8cm³ + 480cm³

= 2764.8cm³


Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.

Answers

Is there any picture we can work with?

Find the missing length to the attached triangle.

Answers

Answer:

x = 135

Step-by-step explanation:

Use the right triangle altitude theorem and similar triangles.

x/81 = 225/x

x^2 = 81 * 225

x = 9 * 15

x = 135

Answer:

135

Step-by-step explanation:

Can anyone help me do this

Answers

Answer:

260% of 420=1092

166 2/3%of 60= 100

166 2/3% of 60 is 100

The diagram shows a wedge in the shape of a prism.
Angle BCF is a right angle.
A string runs diagonally across the wedge
from A to F.
Calculate the length A F.
Give your answer correct to 3 significant figures.

Answers

To 3 significant figures:
19.3 cm

One zero of the polynomial function f(x) = x^3 + x^2 + 20x is x = 0. What are the zeros of the polynomial function?
0, −5, −4
0, −5, 4
0, 5, −4
0, 5, 4

Answers

Answer: 0, −5, 4

Step-by-step explanation:

The given function is

[tex]f(x)=x^3+x^2-20x[/tex]

One of the zero of the given polynomial function is x=0.

To find other zeroes put f(x)=0

[tex]x^3 + x^2 - 20x=0\\\\\Rightarrow\ x(x^2+x-20)=0\ \ \ [\text{Taking x as common}][/tex]

That is

[tex]x^2+x-20=0[/tex] or [tex]x=0[/tex]

if [tex]x^2+x-20=0[/tex]

then [tex]x^2+5x-4x-20=0\ \ \ [\text{By using middle term splitting method}][/tex]

[tex]\Rightarrow\ x(x+5)-4(x+5)=0\\\\\Rightarrow\ (x+5)(x-4)=0\\\\\Rightarrow\ x=-5, 4[/tex]

So, the zeroes of f(x) are 0, −5, 4 .

Hence, the correct option is 0, −5, 4.

Given the parent function of f(x) = x^(4, what change will occurr when the function is changed to f((1)/(2) x))

Answers

Answer:

The graph of the function f( (1/2)x ) will expand across x-axis

Step-by-step explanation:

We have been given the function:

f(x) = x⁴

If we substitute x = (1/2)x into the given equation, we get:

f((1/2)x) = ( (1/2)x )⁴

We can simplify the equation

f((1/2)x) = = (1/2)⁴ x⁴

f((1/2)x) = = (1/16) x⁴

Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴

2) The volume of water in swimming pools in a local neighborhood are normally distributed. What is the percentage of
volumes that are within 3 standard deviation of the mean?

Answers

Answer:

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.

Step-by-step explanation:

We want to calculate the area under the curve within 3 standard deviations from the mean.

If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).

[tex]P(-3<X<3)=P(z<3)-P(z<-3)\\\\P(-3<X<3)=0.9987-0.0013=0.9973[/tex]

The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.

6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 ​ =2d− 2 13 ​

Answers

Answer:

So your answer is  d = -1/4 = -0.250

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*d-11/2-(2*d-13/2)=0

           13

Simplify   ——

           2

        11            13

 (6d -  ——) -  (2d -  ——)  = 0

        2             2

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          2d     2d • 2

    2d =  ——  =  ——————

          1        2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2d • 2 - (13)     4d - 13

—————————————  =  ———————

      2              2  

        11     (4d - 13)

 (6d -  ——) -  —————————  = 0

        2          2    

           11

Simplify   ——

           2

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          6d     6d • 2

    6d =  ——  =  ——————

          1        2  

4.2       Adding up the two equivalent fractions

6d • 2 - (11)     12d - 11

—————————————  =  ————————

      2              2    

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(12d-11) - ((4d-13))     8d + 2

————————————————————  =  ——————

         2                 2  

6.1     Pull out like factors :

  8d + 2  =   2 • (4d + 1)

 4d + 1  = 0

 4d + 1  = 0

7.1      Solve  :    4d+1 = 0

Subtract  1  from both sides of the equation :

                     4d = -1

Divide both sides of the equation by 4:

                    d = -1/4 = -0.250

Answer:

d = -1/4 = -0.250

Step-by-step explanation:

What is the formula for finding the area of a regular polygon with perimeter P and apothem length a? A. A = 1/2(Pa) B. a = PA C. A = Pa D. a = 1/2(PA)

Answers

Answer:

The answer is A.)  A=1/2(Pa)

Step-by-step explanation:

The area of a regular polygon with perimeter 'P' and apothem length 'a' is [tex]\frac{1}{2}Pa[/tex]    .

What is a regular polygon?

A polygon is a two-dimensional geometrical figure that has 'n' number of equal sides.

Given, the perimeter of the regular polygon is 'P'.

Apothem length of the polygon is 'a'.

Therefore, the area of a regular polygon is

[tex]= \frac{1}{2}Pa[/tex]

Learn more about a regular polygon here: https://brainly.com/question/4442699

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I have an interesting question and there are 15 points up for grabs. I will give thanks, 5 stars and brainliest to a correct answer! :)



Samir has 128 green apples, 56 red apples and 200 pink apples. He needs to put the apples in crates. The apples cannot be mixed within a crate, and Samir wants the same number of apples in each crate. How many apples should each crate be able to hold so that every crate is filled completely?

Answers

each crate should be able to hold 8 apples in each one

NO is parallel to ML. How long is OL?

2/3ft
6ft
8ft
12ft​

Answers

Answer:

Step-by-step explanation:

Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

Hence, KN/MN=KO/OL.......by bpt

i.e.= 3/9=2/OL

18/3=OL

6feet =OL

answer is b)6feet

pls mark brainliest if it helps

Rewrite the function by completing the square

Answers

Answer:

[tex](x+10)^2-186[/tex]

Step-by-step explanation:

What is the distance between (-2. 1/2,-3) and (1, -3)?

Answers

Answer:

3 1/2 (in fraction form but 11.2... something) hope this helps

Step-by-step explanation:

How many times will the digit '1' appear if we write all whole numbers from 1 to 999?

Answers

Answer: The number one occurs 300 times while writing the numbers from 1 to 999.

Step-by-step explanation:

Write 2.37 correct to 1 decimal place

Answers

Answer:

2.4

Step-by-step explanation:

The first decimal place is 3, the digit after that is 7 which is more or equal to 5. So add +1 to the 3, followed by zeros.

2.37 ⇒ 2.40

Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

b.)

[tex] \frac{7}{8} - \frac{1}{4} \times \frac{1}{2} [/tex]

Solve the ones multiplying first

That's

[tex] - \frac{ 1}{4} \times \frac{1}{2} = \frac{1}{8} [/tex]

Subtract

[tex] \frac{7}{8} - \frac{1}{8} = \frac{6}{8} = \frac{3}{4} [/tex]

c.)

[tex] \frac{5}{6} + \frac{2}{3} \div \frac{1}{4} [/tex]

Division first

[tex] \frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times 4 = \frac{8}{3} [/tex]

Add

Final answer is

[tex] \frac{5}{6} + \frac{8}{3} = \frac{5 + 10}{6} = \frac{15}{6} [/tex]

d.) [tex] \frac{5}{16} - \frac{11}{10} \div \frac{22}{5} [/tex]

Division first

That's

[tex] \frac{11}{10} \div \frac{22}{5} = \frac{11}{10} \times \frac{5}{22} = \frac{1}{4} [/tex]

Subtract

We have the final answer as

[tex] \frac{5}{16} - \frac{1}{4} = \frac{5 - 4}{16} = \frac{1}{16} [/tex]

g).

[tex]( \frac{3}{4} + \frac{2}{3} ) \times \frac{1}{2} [/tex]

Solve the terms in the bracket first

That's

[tex] \frac{3}{4} + \frac{2}{3} = \frac{9 + 8}{12} = \frac{17}{12} [/tex]

Multiply

We have the final answer as

[tex] \frac{17}{12} \times \frac{1}{2} = \frac{17}{24} [/tex]

j ). [tex]( \frac{10}{7} - \frac{1}{2} ) \times ( \frac{2}{3} + \frac{5}{6} )[/tex]

Solve all the terms in the bracket first

That's

[tex] \frac{10}{7} - \frac{1}{2} = \frac{20 - 7}{14} = \frac{13}{14} [/tex]

And

[tex] \frac{2}{3} + \frac{5}{6} = \frac{4 + 5}{6} = \frac{9}{6} = \frac{3}{2} [/tex]

Multiply

We have the final answer as

[tex] \frac{13}{14} \times \frac{3}{2} = \frac{39}{28} [/tex]

Hope this helps you.

on monday it took 5 builders to 3 1/2 hours to build a wall
on tuesday an identical wall was built but only 2 builders were available
each builder is paid £9.30 for each hour or part of and hour they work
work out how much each builder will be paid for the work completed on tuesday

Answers

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took [tex]3\dfrac{1}{2}[/tex] hours  ( i.e. [tex]\dfrac{7}{2}[/tex] hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : [tex]x_1y_1=x_2y_2[/tex]

Let x be the time taken by 2 builders, then

[tex]2\times x =5\times \dfrac{7}{2}[/tex]

[tex]\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75[/tex]

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

*PLEASE ANSWER* If a town has a density of 8 houses per block and there are 65 blocks in the town, how many houses are in the town? a.) 840 houses b.) 520 houses c.) 1040 houses d.) 2080 houses

Answers

Answer:

520

Step-by-step explanation:

65 blocks multiplied by 8 houses per block

Answer is 520
Don’t worry about this it’s extra space

What is the mean absolute deviation of the following numbers? 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4

Answers

The MAD is 4.32. To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean

The mean absolute deviation of the given Dataset is calculated to be approximately; 4.32

How to Calculate Mean Absolute Deviation?

We are given the data set; 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4

Let us first find the mean;

x⁻ = (18 + 14 + 0 + 7 + 5 + 7 + 10 + 7 + 6 + 9 + 12 + 3 + 14 + 4 + 11 + 16 + 0 + 10 + 9 + 5 + 0 + 16 + 11 + 2 + 4)/25

Mean; x⁻ = 200/25

x⁻ = 8

Using online Mean absolute deviation calculator, we have;

Mean absolute deviation = 4.32

Read more about Mean Absolute Deviation at; https://brainly.com/question/447169

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PLEASE HURRY Quadilateral abcd is inscribed in circle z such that AB is parallel to DC and m

Answers

Answer:

41°

Step-by-step explanation:

Looking at the attached diagram

A central angle of a circle is always congruent to its intercepted arc.

Therefore, m arc BC = m∠BZC

Again, m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.

This gives us the following results:

= m∠BZC = 82°

= m arc BC = m∠BZC

= m arc BC = 82°

= m∠BAC = 1/2 × 82°

= m∠BAC = 41°

Note that:

∠DCA ≅ ∠BAC because alternate interior angles are congruent.

So m∠DCA = m∠BAC.

Hence, m∠DCA = 41°.

Please help me with question eightttt thank you

Answers

Answer:

Question 8 should be 25.6 hours

Step-by-step explanation:

Since time = distance/speed.

We just replace the words with the appropriate numbers.

time =

[tex] \frac{ 3.84 \times {10}^{5} }{1.5 \times {10}^{4} } [/tex]

which equals 25.6

Gasoline prices are rising at a rate of 0.5% per month. What is their doubling time? By what factor will prices increase in one year? In six years?

Answers

Answer:

double: 1%

year6%

6 year: 36%

Step-by-step explanation:

can anyone help me on both please dont put stupid awsers to get the points

Answers

Answer: Ok for the second one because I don't really get the wording in the first one (thats cuz i SUCK at vocabulary) the answer is 756,100 and a number greater is any number from 756,073-756,149

Step-by-step explanation:

ok so 756072 rounds to 756100 because 72 is closer to 100 than it is to 0

from 50 on, you would round up so to round up to 756100 the smallest possible number is 756050 since the 50 will round up

the highest number is 756149 because from 50 onwards it will round to 756200 instead.

so you can choose any number from 756050-756149

take the L bro this is a stupid answer
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