Answer:
[tex]x = \sqrt{72[/tex]
Step-by-step explanation:
Given
Number x [tex]equals[/tex] square root of [tex]72[/tex]
Required
Rewrite using mathematical symbols
equals is represented as: =
So, we have:
Number x [tex]=[/tex] square root of [tex]72[/tex]
Number x can be written as just "x". So, we have:
x [tex]=[/tex] square root of [tex]72[/tex]
square root is represented as: [tex]\sqrt[/tex]. So, we have:
[tex]x = \sqrt{72[/tex]
For the following system, use the second equation to make a substitution for x in the first equation.
3x + 2y = 7
x - y + 3 = 0
What is the resulting equation?
Step-by-step explanation:
x value is 0.2
y value is 3.2
The sum of three numbers is 86. The third number is 4 times the first. The first number is 10 more than the second. What are the numbers?
Answer:
The first number is 16
The second number is 6
The third number is 64
Step-by-step explanation:
The information from the word problem are;
The count of the numbers in the sum = 3 numbers
The value of the sum of the three numbers = 86
The value of the third number = 4 × The value of the first number
The value of the first number = 10 + The value of the second
Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;
x + y + z = 86...(1)
z = 4 × x...(2)
x = y + 10...(3)
From equation (3), we get;
x = y + 10
∴ y = x - 10...(4)
Substituting the value of z from equation (2) and the value of y from equation (4) in equation (1) gives;
x + y + z = 86
z = 4 × x = 4·x
y = x - 10
∴ x + y + z = x + (x - 10) + 4·x = 86
x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86
6·x = 86 + 10 = 96
∴ x = 96/6 = 16
x = 16
From equation (2), we get;
z = 4 × x
∴ z = 4 × 16 = 64
z = 64
From equation (4), we get
y = x - 10
∴ y = 16 - 10 = 6
y = 6
Therefore; x = 16, y = 6, and z = 64
The numbers are 16, 6, and 64
please help!!! i’ll give brainliest.
no links
do not comment random things
i need asap!!
ill give as many points as i can
Answer:
a,d,e
Step-by-step explanation:
75+a1 = 180
so a1=105
a1=x-15
105=x-15
x=120
then using rules of parallel lines with commone intersecting line gives the others.
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Answer:
Click the third one.
Answer:
3rd one
Step-by-step explanation:
Mark me brainliest pls
Hope this helps!
How can -6/4x = 12 be solved in one step?
Answer:
Multiply each side by -4/6 to isolate x
Step-by-step explanation:
-6/4x = 12
Multiply each side by -4/6 to isolate x
-4/6 *(-6/4x) = 12*(-4/6)
x =-8
Answer:
12 divided by -6/4
Step-by-step explanation:
you need to isolate the x, since -6/4 is being multiplied to x, you gotta divide it to move -6/4 to the other side x=12 divided by -6/4
Which of the following is the maximum value of the function y = −2x2 + 5?
5
−2
25
0
Answer:
The answer is 0 because the minimum is 5
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( 0 , 5 )
PLZZ HELPPPPPP!!!!!!!!
Answer:
$1043.33
$494.47(1 +1)(1 + .055)
Step-by-step explanation:
A regular decagon has a radius of 8 cm.
What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.
188 cm2
198 cm2
304 cm2
375 cm2
Answer:
188cm^2
Step-by-step explanation:
A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²
What is a decagon?A decagon is a polygon with 10 sides.
Therefore, the approximate area of a decagon can be found as follows:
area of decagon = r²sin(360/n) / 2 × 10
where
r = radius
n = number of sides
Therefore,
r = 8 cm
area of decagon = 8² sin (360/ 10) / 2 (10)
area of decagon = 64 sin 36 / 2 × 10
area of decagon = 64 × 0.58778525229 / 2 × 10
area of decagon = 37.6182561467 / 2 × 10
area of decagon = 18.8091280734 × 10
area of decagon = 188 cm²
learn more on decagon here: https://brainly.com/question/27314677
An apartment has 90 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter is 10.8 square feet.
An explanation on how to do it would also be amazing!
Answer:
Area = 972 square feet
Step-by-step explanation:
Let 90 square meter be = x square feet
Given :
square meter square feet
1 10.8
90 x
[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]
Therefore , 90 square meter = 972 square feet
I need help with this! Quick ASAP?
Answer:
a) F
b) B, E, D
Step-by-step explanation:
a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values
From the given option, the rate of change of the y to the x-values of B = the gradient = (4 units)/(2 units) = 2
The gradient of F = (-3units)/(1 unit) = -3
The gradient of A = 4/4 = 1
The gradient of C = -2/5
The gradient of D = 2/6 = 1/3
The gradient of E = 3/4
The segment with the greatest gradient is F
b) The steepest segment has the higher gradient
From their calculated we have;
The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3
Therefore, we have;
B, E, D.
Select the correct answer.
What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7
Answer:
= 4/ 3
Step-by-step explanation:
-x+3/7=2x-25/7
We move all terms to the left:
-x+3/7-(2x-25/7)=0
We add all the numbers together, and all the variables
-x-(+2x-25/7)+3/7=0
We add all the numbers together, and all the variables
-1x-(+2x-25/7)+3/7=0
We get rid of parentheses
-1x-2x+25/7+3/7=0
We multiply all the terms by the denominator
-1x*7-2x*7+25+3=0
We add all the numbers together, and all the variables
-1x*7-2x*7+28=0
Wy multiply elements
-7x-14x+28=0
We add all the numbers together, and all the variables
-21x+28=0
We move all terms containing x to the left, all other terms to the right
-21x=-28
x=-28/-21
x=1+1/3
Answer:
x = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Given
- x + [tex]\frac{3}{7}[/tex] = 2x - [tex]\frac{25}{7}[/tex] ( multiply through by 7 to clear the fractions )
- 7x + 3 = 14x - 25 ( subtract 14x from both sides )
- 21x + 3 = - 25 ( subtract 3 from both sides )
- 21x = - 28 ( divide both sides by - 21 )
x = [tex]\frac{-28}{-21}[/tex] = [tex]\frac{4}{3}[/tex]
Find an equation in point-slope form for the line having the slope m =1/3 and containing the point (-3,- 6).
xy to the power of -4
show as positive exponent
explain
Answer:
[tex]\frac{1}{(xy)^4}[/tex]
Step-by-step explanation:
*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."
Recall the following exponent property:
[tex]a^{-b}=\frac{1}{a^b}[/tex]
Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]
What is the following values of:
XZ:
XY:
verify that :- 2/7 x (-3/5 +4/10)=2/7x-3/5 +2/7 x 4/10
please help me fast please
Answer:
hope it helps you............
Answer:
-2/35.....................
find the product write your question in exponential form 7 ^-1 x 7 ^-7
Answer:
[tex] {7}^{ - 8} [/tex]
Step-by-step explanation:
[tex] {7}^{ - 1} \times {7}^{ - 7} \\ {7}^{ - 1 + - 7} \\ {7}^{ - 8} [/tex]
Hope this helps you.
Need help with this
Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52
Answer: D. 3x +28 > 52
Step-by-step explanation:
Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:
With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.
Therefore, (3 × x) + 28 > 52
= 3x + 28 > 52.
We can calculate further
3x > 52 - 28
3x > 24
x > 24/3
x > 8
Therefore, 9 or more bracelets needs to be sold since x is greater than 8.
Therefore, the correct option is D 3x +28 > 52
Answer:
D. 3x + 28 > 52
Step-by-step explanation:
Work out the sum of 1/4 1/6 and 1/3
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6} +\frac{1}{3}[/tex]
4 = 2 × 2 × 1
6 = 2 × 3 × 1
3 = 3 × 1
GCF = 1
4 × 6 × 3 = 72
[tex]\frac{18}{72} +\frac{12}{72} +\frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Looking for your LCD (Least Common Denominator) of each fraction}\downarrow\\\\\\\mathsf{\dfrac{1}{4}=\dfrac{3}{12}}\\\\\\\mathsf{\dfrac{1}{6}=\dfrac{2}{12}}\\\\\\\mathsf{\dfrac{1}{3}=\dfrac{4}{12}}\\\\\\\\\\\large\textsf{The LCD is \underline{12}}[/tex]
[tex]\mathsf{\dfrac{1}{4}+\dfrac{1}{6}+\dfrac{1}{3}}[/tex]
[tex]\mathsf{= \ \dfrac{1\times3}{4\times3}+\dfrac{1\times2}{6\times2}+\dfrac{1\times4}{3\times4}}[/tex]
[tex]\large\textsf{Solving for the numerators (TOP numbers)}\downarrow\\\\\mathsf{1\times3=\boxed{\bf 3}}\\\\\mathsf{1\times2=\boxed{\bf 2}}\\\\\mathsf{1\times4=\boxed{\bf 4}}[/tex]
[tex]\large\textsf{Solving for the denominators (BOTTOM numbers)}\downarrow\\\\\mathsf{4\times3=\boxed{\bf 12}}\\\\\mathsf{6\times2=\boxed{\bf 12}}\\\\\mathsf{3\times4=\boxed{\bf 12}}[/tex]
[tex]\mathsf{=\ \dfrac{3+2+4}{12}}[/tex]
[tex]\large\textsf{Solving for your numerator (TOP number) }\downarrow\\\\\\\mathsf{3+2+4}\\\\\mathsf{= 5+4}\\\\\mathsf{= \boxed{\large\textsf{\bf 9}}}[/tex]
[tex]\mathsf{=\ \dfrac{9}{12}}[/tex]
[tex]\mathsf{\dfrac{9\div3}{12\div3}}\\\\\\\\\mathsf{9\div3= \boxed{\large\textsf{\bf 3}}}\\\\\mathsf{12\div3=\boxed{\large\textsf{\bf 4}}}[/tex]
[tex]\mathsf{= \dfrac{3}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\boxed{\mathsf{\bold{ \dfrac{9}{12}\ or\ \dfrac{3}{4}}\ either\ of\ those\ fractions\ should\ work\ because}}}}\\\boxed{\boxed{\large\textsf{they are equal to each other!}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Is anyone free to help me? It's a picture .
Answer:
1. 8 units downwards and 2 units left
2.7 units right and 4 units upwards
3. 5 units right and 4 units downwards
Step-by-step explanation:
That how it goes
Find the sum of the series
{1875 + 750 + 300+...
+3.072}
Answer:
Find the indicated sum for each geometric series.
{1875+750+300+⋯+3.072}
Answer: 3122.952
Step-by-step explanation:
{1875+750+300+⋯+3.072}
r=0.4 3.072=1875(0.4)n−1
0.0016384=(0.4)n−1
7=n−1→n=8
Sn=1875(1−(0.4)8)1−0.4=3122.952
I think is like this.
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
This the answer
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
2x-3
A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ?
Answer:
volume= 502.4cm
Step-by-step explanation:
see attachment for detailed solution
Answer:
Step-by-step explanation:
Formulae for Volume = Pi x r2 x h
Pi = 3.14 or 314/100 because the radius is not a product of 7
Radius = 4 cm
Height = 10 cm
314/100 x 4 x 4 x 10 = 512.4 cm2
= 512.4 cm2
6. Is this a relation? Is this a function? Why or why not?
Answer:
the given relation is function because all elements of domain is mapped with the elements of range
Can someone help me with this.
:)
The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°. Find the measure of the smallest exterior angle.
Answer
x is the smallest angle so 12 is the answer.
Step-by-step explanation:
x + 2x + 4x + 6x + 7x + 10x = 360 degree (sum of exterior angles of a hexagon)
30x = 360
x = 360/30
x = 12
the smallest exterior angle of hexagon is 12 degree.
The measure of the smallest exterior angle is 12 degrees.
What is Polygon?Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
A hexagon is a six-sided polygon or 6-gon creating the outline of a cube.
The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°.
We need to find the smallest exterior angle which is x.
we know that the sum of the exterior angles of any polygon is always equal to 360.
x° + 2x° + 4x° + 6x° + 7x° + 10x° = 360
30x=360
Divide both sides by 30
x=360/30
x=12
Hence, the measure of the smallest exterior angle is 12 degrees.
\
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Which is the graph of y – 3 =-2/3 (x + 6)?
Answer:
see graph below
How many mLs are in 1300mG
Answer:
1.3 mL
Step-by-step explanation:
1 mg = 0.001 mL
1300 mg * 0.001 mL/mg = 1.3 mL
Please help me
Which has a larger area , a 4:3 aspect ratio 32 inch Tv or a 16:9 aspect ratio 32 inch Tv? Find the side lengths of each of the TV’s and the area of each Tv to compare. Explain Your reasoning and show all mathematical calculations.
Step-by-step explanation:
please see my work as attached
Please fill the blanks
Answer:
First box
8pi-(7pi/4)= pi/4
Second Box:
Tan 7pi/4= 0.09625006863
Step-by-step explanation: