Answer:
-14
Step-by-step explanation:
Since x is negative, the median of the set is 14. Therefore, the mean of the set is 14 + 5 = 19, and its sum is 19 · 5 = 95. Since 12, 38, 45, and 14 sum to 109, the remaining integer x must be 95 − 109 = −14 .
Answer:
x = -14Step-by-step explanation:
Given set of numbers:
12, 38, 45, x, 14Put them in ascending order, considering the x is negative
x, 12, 14, 38, 45The median is 14
The mean is 5 greater than median:
14 + 5 = 19The mean is calculated:
(x + 12 +14 + 38 + 45)/ 5 = 19x + 109 = 19*5x = 95 - 109x = -141.
Last year, the ratio of literate and illiterate people of Rashkundu Village was
4:1. If the population of the village is 6550, let's find the numbers of literate
and illiterate people.
Step-by-step explanation:
Let the literate and illiterate people of Rashkundu Village be 4x and x respectively then 4x + x = 65505x = 6550x = 6550 / 5x = 1310Therefore no. of literate people = 4 * 1310 = 5240no. of illiterate people = 1310 Hope it will help :)Answer:
5,240 literate
1310 illiterate
Step-by-step explanation:
-ratio of literate : illiterate is 1:4
-add the numbers in the ratio (4+1=5)
-divide total population by 5 (6,550/5= 1,310)
-multiply the outcome by 4 to find the number of literate people (1,310*4=5,240 people)
-subtract the number of literate people from total population to find number of illiterate people (6,550-5,240= 1,310 people).
can someone help me with this?
Let n = number of gum packs he buys.
After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:
[tex]30-12-4n\geq 0[/tex]
Simplify by subtracting 30-12:
[tex]18-4n\geq 0[/tex]
Subtract 18 from both sides:
[tex]-4n\geq -18[/tex]
Divide both sides by -4 (flip the sign when you multiply or divide by a negative):
[tex]n\leq 4.5[/tex]
You can only buy a whole number of gum packs, so:
[tex]n\leq 4[/tex]
Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke
If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c?
Answer: The product of a b and c is 0.
Step-by-step explanation:
The given expression : [tex]2xy^{-2}{4xy^2}[/tex]
[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]
[tex]=8x^2y^0[/tex]
When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0
The product of a, b and c = [tex]a\times b \times c[/tex]
[tex]=8\times2\times0\\\\=0[/tex]
The product of a b and c is 0.
Which surveys would a sample be appropriate for? Mark all that apply.
A. Helen wants to know the favorite sport of adults in her town.
B. Caleb wants to know the type of music his current teachers like.
C. Jaclyn wants to know the average weight of her sisters' backpacks.
D. Kevin wants to know the most common way students get to school.
E. Roberto wants to know the average height of the people sitting at his table.
Answer:
a d
Step-by-step explanation:
Answer:
..............................
Step-by-step explanation:
What is the simplified form of the following expression??
Answer:
[tex]2x^{2}[/tex]
Step-by-step explanation:
Hope that helps!!!
-scsb17hm
1 Write an equation where a number is added to a variable, and a solution is -8.
Answer:
n+v= -8
Step-by-step explanation:
number=n; variable=v
n+v=-8
Given the function f(x)=4^x+3
Answer:
f(x)=4^x+3
Step-by-step explanation:
ok annnnnd
6. Which graph matches the inequality ?
K > -7
Answer:
Option 4
Step-by-step explanation:
Since k is greater than or equal to -7, the number line should be going in the right direction, along with the starting point being shaded.
Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?
a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.
9514 1404 393
Answer:
c.) The function is an even function.
Step-by-step explanation:
Either way you interpret the given function, you have ...
f(-x) = √(-x)^2 -64 = √x^2 -64
f(-x) = f(x) . . . . the function is an even function (only)
WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
1/5 ÷ 7 = ______________________________
Answer:
1/35
Step-by-step explanation:
1/5*7 = 1/35
Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
Log(x+4)=8
Please help I don’t understand it I will give brainliest
|0-(-1/2)| evaluate
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
Please help I’ve been stuck on this question for the longest
Answer:
7 in., 9 in., 5 in.
Step-by-step explanation:
6+2>9 = incorrect
9+7>16 = incorrect
2+7>9 = incorrect
7+5>9 = correct
7+9>5 = correct
9+5>7 = correct
Basically two side lengths added together should be more than the number left out.
I hope this helps!
surface area - multi step
Answer:
£208
Step-by-step explanation:
Given:
Height of solid box (h) = 20 cm
Width (w) = 80 cm
Length (l) = 10 cm
Cost of paint = £0.04 per cm²
Required:
Cost of painting the box
Solution:
✔️First, find the surface area of the box
Surface area = 2(l*w + l*h + w*h)
S.A = 2(10*80 + 10*20 + 80*20)
S.A = 2(800 + 200 + 1,600)
S.A = 2(2,600)
S.A = 5,200 cm²
✔️Find the cost of painting 5,200 cm² surface area of the box.
Cost of pianting 1 cm² = £0.04
Cost of painting 5,200 cm² = 5,200 × 0.04
Cost of painting the box = £208
a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet
Answer: The length of the fence will be 150 feet
Step-by-step explanation:
The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula a^2 + b^2 = c^2
120 feet will be a
90 feet will be for b
this is because a and b are the two legs of the rectangle.
120^2 + 90^2 = c^2
14400 + 8100 = c^2
22500 = c^2
c =√22500
c= 150
Jackie is buying crackers and wants to know how many crackers are in the box. The box is 8 cm long, 2.4 cm wide, and 60 cm high. The dimensions of the crackers are 3cm long, 4 cm wide, and 5 cm high. How many crackers are in the box? Round to the nearest whole number. Geometry
Answer:
19
Step-by-step explanation:
Number of crackers that can be fit into the box = volume of the box / volume of crackers
Volume = length x width x height
volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3
Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3
1152/60 = 19.2
Rounding 19.2 to the nearest whole number gives 19
Which is the equation of a line perpendicular to y = 5x – 3?
what is the distance between points M(-3, 1)and N(7, -3)
Answer:
d = 2√29 units
Step-by-step explanation:
M(-3, 1)and N(7, -3)
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values.
d = √[(7 - (-3))² + (-3 - 1)²]
Simplify the parentheses.
d = √[(7 + 3)² + (-4)²]
d = √[(10)² + (-4)²]
Simplify the exponents
d = √[(100 + 16)]
Simplify the parentheses by adding.
d = √[116]
Simplify the brackets with the square root.
Since 116 is not a perfect square, we need to find two numbers that multiply to 116. One number must be a perfect square. The other must be a prime number.4 • 29 = 116. Therefore √4 • √29 = √116√4 = 2. Therefore 2√29 = √116d = 2√29 units
Hope this helps!
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
A bicycle Rocco wants to buy is $282. If the sales tax rate is 4% of the total price how much sales tax will Rocco pay?
Answer:
he will pay 11.28 dollars. I hope it helps!
Answer:
Your answer would be $11.28
Step-by-step explanation:
if you find 4% of 282 you would get 11.28 so therefore it is your answer.
what is the lcm of 3y and 6x?
Step-by-step explanation:
First expression = 3y
second expression = 3 * 2 x
LCM = 3 * 2x * y = 6xy
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ2
How many triangles can be constructed with angles measuring 50º, 90º, and 40º?
Answer:
Infinite
Step-by-step explanation:
We know that in a triangle the sum of all the interior angles must be 180°.
The given angles 50º, 90º and 40º
The sum of the angles 50º+ 90º + 40º= 180°
Thus, a triangle is possible with the given measurement.,
Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.
Similarly, all the triangles with the same measurements of the angles must be similar.
Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.
A rectangle Is (2x-3) cm long and (x+7) cm wide. What Is It's area?
Answer:
Step-by-step explanation:
Length (L)= 2x - 3 cm
Breadth (b) = x + 7 cm
Area of the rectangle
= L * b
= ( 2x - 3)(x+ 7)
= 2x(x + 7) - 3(x + 7)
= 2x² + 14x - 3x - 21
=( 2x² + 11x - 21) cm²
hope it helps
Answer:
[tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a rectangle = Length × Width
= (2x-3)(x+7)
Multiply 2x with x, 2x with +7, -3 with x and -3 with +7
= [tex]2x^{2}[/tex] + 14x - 3x - 21
= [tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]
if g(x)=f(1/3x), which statement is true?
A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g
B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g
C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G
D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G
Answer:
Step-by-step explanation:
Hope this Helps ;)
Pamela's age is two times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.