Answer:
35
Step-by-step explanation:
We know that the mean is 15 and the median is 18. In order to solve this problem, we can work backwards. First, image the scenario:
15, 15, 15, 15, 15.
We want the median to be 18, we we can add 3 to the middle number and then subtract three from the first number (in order to keep the mean constant). Thus, we have:
12, 15, 18, 15, 15.
Now, we can subtract and add in order to find the largest number. For instance, we can subtract 11 from 12 and add that 11 to the last number:
1, 15, 18, 15, 26
Next, we can subtract 13 (not 14 because each of the numbers should be different) from the second number and add that to 26:
1, 2, 18, 15, 39.
Finally, the most we an do is to add 4 to the fourth number and subtract 4 from 39 because we want to keep the median 18. Thus:
1, 2, 18, 19, 35.
Each value is distinct.
The largest possible value is 35.
Answer:
35.
Step-by-step explanation:
Since the mean of the five different positive integers is 15, you can assume that they all add up to be 5 * 15 = 75. The median is 18, which means that the rest of the four numbers add to be 75 - 18 = 57, with two numbers higher than 18 and two numbers lower.
You want to find the highest possible values for the maximum, you want to have very low minimums (so you can keep the maximum high). Since the question asks for different positive integers, the lowest numbers you can have are 1 and 2. So far, you have 1, 2, and 18 in your data set, so you have 57 - 3 = 54 to work with for your maximum.
You still want the highest value for the largest of the integers, so the fourth number will be 19. That is because that is the lowest you can go that is still higher than the median. Then, in your data set, you will have 1, 2, 18, and 19, which add up to be 40.
Since all five numbers add to be 75, the maximum will be 75 - 40 = 35.
To make sure this is correct, check your work. 1 + 2 + 18 + 19 + 35 = 75. 75 / 5 = 15. The mean is 15. The middle number is 18, so the median is 18. All five are different positive integers.
And there you have it! The maximum possible value of the largest of these five integers is 35.
Hope this helps!
please help asap !!!!!!!!!
Answer:
D. 6\sqrt{5}-4\sqrt{7}
Step-by-step explanation:
[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]
Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-
Answer:
5.83 units
Step-by-step explanation:
Given is a right angled triangle.
Length of base = 2 - (-3) = 2+ 3 = 5 units
Height = 4 - 1 = 3 units
By Pythagorean theorem:
[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
When q = 15, r = 4
Find q when r = 7
Answer:
q = 18 ?
Step-by-step explanation:
This is not a complete question but ill give it a shot!
If we are following a pattern then we see q is 11 more than r.
So we do 11 + r (7) to get 18!
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Rewrite in simplest radical form x 5/6 x 1/6
Answer:
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]
Required
Rewrite in simplest radical form
Using laws of indices:
[tex]a^m/a^n = a^{m-n}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]
Solve Exponents
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]
Simplify exponent to lowest fraction
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]
Using laws of indices:
[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
This is as far as the expression can be simplified
In 1787, if an enslaved African was considered 3/5th of a person for representation in Congress,how many enslaved Africans would have been considered equivalent to 6 white Americans?
Answer:
10
Step-by-step explanation:
3/5 is 0.6 and 10 time 0.6 is 6.
hope this helps
Solve the equation 12x + 6y = 24 for x
Answers above
Answer:
D
Step-by-step explanation:
12x + 6y = 24
Subtract 6y on both sides.
12x = 24 - 6y
Divide 12 into both sides.
x = 24/12 - 6/12y
x = 2 - 1/2y
The solution for x in terms of y is x = 2 - (1/2)y
We have,
To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.
Starting with 12x + 6y = 24, we can subtract 6y from both sides:
12x + 6y - 6y = 24 - 6y
This simplifies to:
12x = 24 - 6y
Next, we divide both sides of the equation by 12 to solve for x:
(12x)/12 = (24 - 6y)/12
This gives us:
x = (24 - 6y)/12
x = 24/12 - 6y/12
x = 2 - (1/2)y
Therefore,
The solution for x in terms of y is x = 2 - (1/2)y
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If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of the perfect cube so obtained.
Answer:
Hi ,
Cube of a number :
_______________
For a given number x we define cube
of x = x × x × x , denoted by x^3.
A given Natural number is a perfect
Cube if it can be expressed as the
product of triplets of equal factors.
Now ,
Write given number as product of
prime .
8788 = 2 × 4394
= 2 × 2 × 2197
= 2 × 2 × 13 × 169
= 2 × 2 × 13 × 13 × 13
= 2 × 2 × ( 13 × 13 × 13 )
Here we have only triplet of equal
factors i.e 13
To make 8788 into perfect Cube we
have multiply with 2.
Now ,
2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )
17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect
Cube
I hope this will useful to you.
Is 15/3=v/7 a true proporation?
Answer:
15/3 = v/7 can be a true proportion.
Step-by-step explanation:
v is a variable, which means that technically any number can be put inside.
In this case, however, when you are solving for v, the numerator must be proportional to the denominator.
In the case of the question, the questioner multiplied ~2.33 to the denominator. Do the same to the numerator:
15 x 2.33 = ~34.95
If the variable v is ~34.95, then it is a true proportion.
help me please emergenceyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
the answer is 1
Step-by-step explanation:
you convert 1/2 to a decimal, 0.5, then subtract. 0.75 and 0.25 to get 0.5, and when you add those two it equals one.
Answer:
It would equal 1
Step-by-step explanation:
Convert 1/2 to 0.5 then it would be easier to solve.
0.75-0.25=0.5
0.5+0.5=1
Hope this helps!
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC? answers: Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE. Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC. No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent. No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
please answer ASAP please i need HELP ASAP thank you
Answer:
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Step-by-step explanation:
Data provided in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options
As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent
Therefore the last option is correct
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Data given in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.
As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Therefore the option D is correct.
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The following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.
Answer:
19 units
Step-by-step explanation:
In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units
The length of the side TU of the parallelogram is 19 units long.
What is a parallelogram?A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.
How to solve the given question?In the question, we are given a parallelogram STUV.
The length of the side TU is given as x + 10.
The length of the side VS is given as 3x - 8.
As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.
∴ TU = SV
or, x + 10 = 3x - 8
or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)
or, -2x + 10 = -8 (Simplifying)
or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)
or, -2x = -18 (Simplifying)
or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)
or, x = 9 (Simplifying).
Now, TU = x + 10 = 9 + 10 = 19.
∴ The length of the side TU of the parallelogram is 19 units long.
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Find the solutions to x2 = 24.
O A. x = 164
O
B. X =
+4v6
O C. x = +62
O D. x = +276
Answer:
x = ± 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
x² = 24 ( take the square root of both sides )
x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to solve.
Answer:
20 chickens
Step-by-step explanation:
2/8= 5/x
2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:
2/8=5/20
Therefore, with 5 roosters, there are 20 chickens.
I need help with this plz...Thanks
Answer:
Step-by-step explanation:
You graph it
use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
TJ's Cat Food plans to use tins that are the shape of cylinders.
The internal measurements of a tin are shown.
8 cm
T
5 cm
I
b) Calculate the volume of cat food that the tin contains.
Round your answer to 1 decimal place
Answer:
V = 251.3 cm³
Step-by-step explanation:
Diameter 8 cm
Radius = 4 cm
Height = 5 cm
Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]
Where r = 4 cm, h = 5 cm
V = (3.14)(4)²(5)
V = (3.14)(16)(5)
V = 251.3 cm³
Answer:
251.3 cm³
Step-by-step explanation:
The diameter is 8 cm
So the radius is 8/2 = 4 cm
The height is 5 cm
Volume of tin can:
[tex]\pi r^2 h[/tex]
r = 4 & h = 5
[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]
Please help me asap!!!!!?
Answer:
D
Step-by-step explanation:
the scale factor will be the square of the fraction
7/4 =49/16
Answer:
D
Step-by-step explanation:
what is 2+3. if not answer get band
Answer:
5
hope your like this a swer
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Answer:
5
Step-by-step explanation:
If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.
y=k/x, when y=2, x=5 a) Calculate the value of k b) Calculate the value of x when y=0.5.
Answer:
a.) k = 10
b.) x = 20
Step-by-step explanation:
Step 1: Plug in variables and calculate for k
2 = k/5
10 = k
Step 2: Plug in variables and calculate for x
0.5 = 10/x
0.5x = 10
x = 20
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30
Answer:
C
Step-by-step explanation:
Standard form is f(x) = ax² + bx + c.
f(x) = -(x - 4)² + 2
= -(x² - 8x + 16) + 2
= -x² + 8x - 16 + 2
= -x² + 8x - 14
Hi,
the correct answer is C
This is the correct equation: f(x) = -x^2 + 8x - 14
XD
P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)
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What is the value of a?
Help Please I'm Out Of Time ;(
Is it true that every whole number is a solution of x > 0?
Use complete sentences to explain your reasoning.
Answer:No, every whole number is not a solution of x > 0 because the whole numbers include 0. The solution set of x > 0 does not include 0. So, 0, which is a whole number, is not a solution of x > 0.
Step-by-step explanation:
No, Is it not true that every whole number is a solution of x > 0.
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
To check, Is it true that every whole number is a solution of x > 0.
Now, We know that;
Every whole number is a solution of x ≥ 0.
That is, Zero is include in the whole numbers.
Therefore, Is it not true that every whole number is a solution of x > 0.
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What is the least common denominator of
Answer:
first answer is correct
Step-by-step explanation:
hello
as we can write
[tex]x^2-1=(x-1)(x+1)\\[/tex]
the least common denominator is
x(x-1)(x+1)
hope this helps
Answer:
x + 1
x - 1
x
Step-by-step explanation:
The denominators are as follows.
(x - 1)
x^2 - 1
x
=====
The second denominator is actually made of two factors.
x^2 - 1 =(x + 1)(x - 1)
So the least common denominator is
x + 1
x - 1
x
You do not count the x - 1 twice.
Select the reason why these triangles are similar. If they are not, select “not similar”
Answer:
B. SAS
Step-by-step explanation:
3/1= 2.25/075
The 2 sides are congruent and the angle between them is common
B. SAS is the answer