Answer:
see below
Step-by-step explanation:
-X – 10 > 14 + 2x.
Subtract 2x from each side
-x-2x -10 > 14+2x-2x
-3x -10 > 14
Add 10 to each side
-3x -10+10 > 14+10
-3x > 24
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 24/-3
x < -8
joy wants to create a box with a volume of 8 cubic units. which dimensions would work
Answer:
The dimensions of the box is 2 units.
Step-by-step explanation:
Volume of cube, V = 8 cubic units
Let the length of the side is a.
So,
The volume of the cube is
[tex]V = a^3\\\\8 = a^3\\\\a = 2 units[/tex]
So, the dimensions of the box is 2 units.
Mr. Jackson orders a lunch special. The cost of each lunch is $6.00. The delivery man charges $2.00 for delivery. Complete the table below and write an expression to determine "Cost of ordering "AND" lunches.
Answer:
$8.00
$32.00
$62.000
N.$6.00 + $2.00
Step-by-step explanation:
Solve 2 ≤ 2x + 4 < 10 for x.
–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3
Answer:
-1 ≤ x < 3
Step-by-step explanation:
2 ≤ 2x + 4 < 10
Subtract 4 from all sides
2-4 ≤ 2x + 4-4 < 10-4
-2 ≤ 2x < 6
Divide all sides by 2
-2/2 ≤ 2x/2 < 6/2
-1 ≤ x < 3
A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle?
Answer:
[tex]W=2.58 unit[/tex]
[tex]L=15.5 unit[/tex]
Step-by-step explanation:
From the question we are told that:
Area [tex]A=40[/tex]
Equation
Length [tex]L=6LW[/tex]
Generally the equation for Area of a rectangle is mathematically given by
[tex]A=L*W[/tex]
[tex]A=W*(6W)[/tex]
[tex]A=6W^2[/tex]
[tex]W=\sqrt{40/6}[/tex]
[tex]W=2.58 unit[/tex]
Therefore Length is
[tex]L=6W[/tex]
[tex]L=6(2.58)[/tex]
[tex]L=15.5 unit[/tex]
Length = 10
Width = 4
The dimensions of the rectangle would be 10 by 4.
PLEASE HELP !! two angles in a triangle have measurements of 20 degrees and 50 degrees. what is the measure of the third angle? the options are 70 degrees, 30 degrees, 110 degrees, and 120 degrees
Answer:
the answer is 110 degrees because 50 plus 20 is 70 and a triangle is 180 degrees so you do 180 minus 70 which gives you 110 :)
Step-by-step explanation:
B
47°
F
G
A
C
20
J
H Н
Answer:
FGAC 20 JH Н
Step-by-step explanation:
FGAC 20 JH Н
What is the center of the circle shown below?
Answer:
L
Step-by-step explanation:
Here, we want to get the circle center
The diameter is a chord that passes through the center of the circle
looking at the given diagram, we can see chords SM and MN
Between this two, we can see that it is SM that passes through the center
Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes
If x=9/4, then prove that(x root x)^x= x^x root x
Will give Brainliest...
Answer:
√x-9=4
square on both sides
x-9=4*4
x-9=16
x=16+9
x=25
.
.hope it helps
plz mark as brainliest
[tex]( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
Let us first solve for L. H. S.
Substituting the value [tex]x\:={ \frac{9}{4} } [/tex], we have
➼[tex]\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } [/tex]
➼[tex] \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } [/tex]
➼[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } [/tex]
Now let us find R. H. S.
➺[tex]\: {x}^{x \sqrt{x} } [/tex]
➺[tex]\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } [/tex]
➺[tex] \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } [/tex]
➺[tex] \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } [/tex]
➺[tex] \: { \frac{3}{2} }^{ \frac{54}{8} } [/tex]
➺[tex] \: ( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]
Since L. H. S = R. H. S
➝[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]
[tex]\boxed{Hence\:proved.}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
All squares are rectangles but not all rectangles are squares. Prove wheater this statement is true or false with an explanation
1.
Find the least common multiple.
20 and 12
Answer:
answer 60
Step-by-step explanation:
The LCM(12, 20) = 60.
Can someone help me out with this at all?
Answer:
1 maps to 1
2 maps to 3
3 maps to 2
Step-by-step explanation:
the correctly assigned answer options describe everything.
there is not much else to say and explain.
these are all true statements due to the symmetry principle of a circle.
when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.
and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.
m^(2)-n^(2)+6n-9
Please factor this out completely and help me
Answer:
m^2-n^2+6n-9
m^2-6n^2-9
When 4 is added to three times of a number, the answer is the same as subtracting 2 from the number. What is the number ?
Answer:
- 3
Step-by-step explanation:
let n be the number , then
3n + 4 = n - 2 ( subtract n from both sides )
2n + 4 = - 2 ( subtract 4 from both sides )
2n = - 6 ( divide both sides by 2 )
n = - 3
The number is - 3
The number is - 3.
To find the number.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. All the whole numbers are also integers, because integers include all the positive and negative numbers.
Given that:
let n be the number , then
3n + 4 = n - 2 ( subtract n from both sides )
2n + 4 = - 2 ( subtract 4 from both sides )
2n = - 6 ( divide both sides by 2 )
n = - 3
So, the number is - 3.
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What is the answer to 12 radius circle
Answer:
The answer is 113.10 ft²
Step-by-step explanation:
The square feet which is the area of a 12 ft circle is 113.10. If there is a option for that
Answer:
113.04 ft^2
Step-by-step explanation:
use formule A = πr^2
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 10?
A)222
B)185
C)847
or none of these
Answer:
none of these
Step-by-step explanation:
A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.
Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 per pound. What equation can you use to find the price per pound of the trail mix? 3(3)(0.75)(2) = (3 + 0.75)x 3(3) + 0.75(2) = (3 + 0.75)x 3(3)(0.75)(2) = (3 + 0.75) + x 3(3) + 0.75(2) = (3 + 0.75) + x
Answer:
B
Step-by-step explanation:
3(3) + 0.75(2) = (3 + 0.75)x
If the average, mode, and range of 5 different numbers are all 8, find the sum of all possible values of the second largest number.
I believe you meant:
If the average, mode, and range of 5 different numbers are all 8, find the sum of all possible values and the second largest number
Answer:
Sum of all possible values = 40
Second largest number= 8
Explanation:
Since our mean, mode, and range is 8, our sum is 40 and our second largest number is 8.
The sum of all the numbers is 40 since our mean is 8 and there are 5 numbers(8×5)
To find possible values, we already know the mode is 8 and so we know 8 must appear more than once. If we have 8 twice then we are left with 24(sum is 40). We have 3 numbers left and the range is 8 so we must have a maximum number and minimum number that has a difference of 8 and a third number, all adding up to 24(sum left). Within 24, only 12-4+8 satisfies the condition, hence our numbers are: 4,8,8,8,12.
ecuaciones con resultado 17
Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation:
What is the answer to -4 + 10.
Negative 4 plus 10
Answer:
Six
Step-by-step explanation:
10 - 4 = 6
-4 + 10 = 6
Answer:
6
Step-by-step explanation:
[tex] - 4 + 10 = 6[/tex]
6
Complete the table of values:
Formula given: [tex]y=x^{2} -x-6[/tex]
x -3 -2 -1 0 1 2 3
y 6 0 -4 -6 -4 -4 0
when x = -2
[tex]=(-2)^{2} -(-2)-6[/tex]
[tex]=0[/tex]
when x = -1
[tex]=(-1)^{2} -(-1)-6[/tex]
[tex]=-4[/tex]
when x = 1
[tex]=(1)^{2} -(1)-6[/tex]
[tex]=-6[/tex]
when x = 2
[tex]=(2)^{2} -(2)-6[/tex]
[tex]=-4[/tex]
when x = 3
[tex]=(3)^{2} -(3)-6[/tex]
[tex]=0[/tex]
Answer:
-3 -2 -1 0 1 2 3
6 0 -4 -6 -6 -4 0
Step-by-step explanation:
One is given the following function;
[tex]y=x^2-x-6[/tex]
The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.
[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]
[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]
[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]
[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]
[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]
CAN SOMEONE HLEP ME OUT WITH THIS PLEASE AND THANK YOU
Answer:
12 5/24 thats the answer
Step-by-step explanation:
use this website for mixed number calculator: https://www.calculatorsoup.com/calculators/math/mixednumbers.php
question 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?
Answer:
ss
Step-by-step explanation:
sas
The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r
Let the center of the circle be A ( 5 , 2 )
Let the point on the circle be P ( -3 , 4 )
Now , standard form of a circle is
( x - h )² + ( y - k )² = r²
So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²
On simplifying the equation , we get
r² = ( 8 )² + ( 2 )²
r² = 64 + 4
r² = 68
Taking square roots on both sides , we get
r = √68
r = 2√17
Hence , the radius of the circle is 2√17 units
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2 more after this help
Answer:
y = 1x-5
Step-by-step explanation:
We know two points so we can find the slope
(0,-5) and (5,0)
m = ( y2-y1)/(x2-x1)
= ( 0 - -5)/(5-0)
(0+5)/(5-0)
5/5
=1
We know the y intercept = -5
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 1x-5
Which is the most expensive? 6 for $46.50 or 9 for $67.50?
Answer:
6 for 46.50$
Step-by-step explanation:
you can divide 67.50 over 46.50 (it is less than 3/2)
so 46.50 for 6 is the most expensive
of course if you buy more, it is going to be cheaper than buying less
2. Harry is rolling a die, what is the probability of him rolling an even
number in simplest form? *
Answer:
1/2 ( equally likely and equally unlikely)
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
A die consists of six numbers. There are 3 even numbers in a die, 2,4, and 6.
This means that 3 out of 6 numbers in a die are even. 3/6 simplified is 1/2.
i need help...... ..
Problem 27)
Refer to the diagram that says "problem 27".
This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.
This equation comes from the simple interest formula below
i = P*r*t
i = 100*0.05*x
i = 5x
y = 5x
Note: The graph is a straight line through (0,0) and (1,5)
=====================================================
Problem 28)
The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.
The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.
The graph of points is shown below in the figure labeled "problem 28".
When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.
How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}
Answer:
There are 24 different correspondences.
Step-by-step explanation:
A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.
So, to count all the possible combinations, we need to find the number of possible options for each mapping
The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.
The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).
The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.
The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.
The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:
Combinations = 4*3*2*1 = 12*2 = 24
There are 24 different correspondences.
A un carpintero le encargaron cambiar la forma de una mesa, de circular a cuadrada. El radio de la mesa mide 2 m y los lados del cuadrado que le encargaron deben medir 2.83 m, como se muestra en la figura. (considerar π=3.14). ¿Cuántos metros cuadrados de área tiene que eliminar para que quede la mesa cuadrada?
Answer:
4.46 m^2
Step-by-step explanation:
Sabemos que para un círculo de radio R, el área es:
A = pi*R^2
mientras que para un cuadrado de lado L, el área es:
A = L^2
Ahora queremos calcular los metros cuadrados de área que tiene que sacar el carpintero, esto será simplemente igual a la diferencia entre el área original de la mesa (cuando es circular) y el área final de la mesa (cuando es cuadrada).
Originalmente, la mesa es circular y tiene un radio de 2m.
Entonces el área original es:
A = 3.14*(2m)^2 = 12.56 m^2
Al final, la mesa será un cuadrado de tal forma que sus lados deben medir 2.83m, entonces el área final de la mesa será:
A' = (2.83m)^2 = 8.01m^2
La diferencia nos da:
A - A' = 12.56 m^2 - 8.01m^2 = 4.46m^2
Esto nos dice que se deben eliminar 4.46 m^2 para que la mesa quede cuadrada.
what is the smallest number that can be subtracted from 376234 to make it divisible by 11
Answer:
Odd:: 8+7+9=24
Even:: 2+8=10
So difference of odd and even is 24-10=14
Reducing 3 from this will make the difference (14–3) divisible by 11.
So the number to be subtracted is 3
And the number is 82786.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.
Marking brainliest need help
I’m purchasing tickets that are $40.00 but I have a discount which is 35% off. How much will I pay with that discount?
Answer:
26 ShillingStep-by-step explanation:
The amount to be paid = The new price
where;
New price = (100-x)/100 * Original price
Original price = 40.00
x = discount
Placing in formula100-35/100 * 40.00
65/100 *40
26 shilling
Therefore the amount you will pay for the discount is 26 shilling