Answer:
Hey there!
When z=48, y=6.
z is 8 times as much as y.
11 part 1: z=8y
11 part 2: I'm going to attach a graph I created at the bottom of this answer :)
Let me know if this helps :)
What is the solution to this equation?
X/5 = 15
A. x = 10
B. x = 75
C. X = 3
D. x = 20
Answer:
B. x=75
Step-by-step explanation:
First, write out the equation as you have it:
x/5=15
Then, multiply both sides of the equation by 5/1:
5/1(x/5)=15(5/1)
Your result is:
x=75
Answer:-75 on a pex quiz 1.4.3
Step-by-step explanat
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)
a 1
b 4
c 5
d 25
Answer:
a) 1
Step-by-step explanation:
3(x + 1) = -2(x - 1) +6
3x + 3 = -2x + 2 + 6
3x + 3 = -2x + 8
Subtract 3 from both sides
3x + 3 -3 = -2x + 8 -3
3x = - 2x + 5
Add 2x to both sides
3x + 2x = -2x + 5 +2x
5x = 5
Divide both sides by 5
5x/5 = 5/5
x = 1
What is 5/7 written as a decimal and written as a percent rounded to the nearest tenth?
Answer:
[tex]\frac{5}{7}:\quad 0.71428\\\\= 0.71\\\\\frac{0.71}{1}\times \frac{100}{100}\\ \\= 71/100\\\\= 71\%[/tex]
Step-by-step explanation:
The fraction 5/7 is equal to 0.7 or 70%.
To convert 5/7 to a decimal,
divide the numerator (5) by the denominator (7):
So, 5 ÷ 7 = 0.71428571...
Rounded to the nearest tenth, the decimal equivalent of 5/7 is 0.7.
Now, to convert 0.7 to a percent, we multiply it by 100:
0.7 x 100
= 70%
Therefore, when rounded to the nearest tenth, 5/7 is equal to 0.7 or 70%.
Learn more about Percentage here:
https://brainly.com/question/10830776
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Can someone please help
Answer:
The answer is in the pictures
PLEASE HELP!! Which equation can be used to solve 2 6 0 1 * x1 x2 = 2 -3
Answer:
Equation :
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
Step-by-step explanation:
To isolate the following matrix, we will have to divide either by matrix 1, or the co - efficient of the matrix shown below. By doing so we will have to take the inverse of the co - efficient of that same matrix on the other side. In other words,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}[/tex] - Matrix which we have to isolate,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}2&6\\ \:0&1\end{bmatrix}^{-1}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex] - Equation used to solve the matrix
Now as you can see this equation is not any of the given options. That is as we have to simplify it a bit further,
[tex]\begin{bmatrix}2&6\\ 0&1\end{bmatrix}^{-1} = \frac{1}{\det \begin{bmatrix}2&6\\ 0&1\end{bmatrix}}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \frac{1}{2}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \begin{bmatrix}\frac{1}{2}&-3\\ 0&1\end{bmatrix}[/tex]
We know that 1 / 2 can be replaced with 0.5, giving us the following equation to solve for x1 and x2,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
As you can see our solution is option d.
Answer: d
Step-by-step explanation: on edge
A fashion designer created a sketch of a square scarf. The design has one large triangle and two congruent smaller triangles. The shaded portion shows the part made from red silk. The sketch of the scarf has a scale of 5 inches = 3 feet. How much red silk does the fashion designer need to make the scarf? which i the answer : 2.25 ft2 4.5 ft2 6.25 ft2 12.5 ft2
Answer:4.5 ft squared
Step-by-step explanation:
3*1.5/2=4.5
explanation:
Answer:
my name is yeff
Step-by-step explanation:
The thickness of one sheet of paper is 〖8 × 10〗^(-3)
Work out the thickness of 250 sheets of paper.
Answer:
1/2048 or 4.8828125*10^(-4)
Step-by-step explanation:
First, figure out the thickness of 1 sheet of paper in number format:
[(8*10)]^(-3)=(80)^(-3) or (1/(80)^(3))=1/512000
Now, multiply 1/512000 by 250 to find the thickness of 250 sheets of paper:
250(1/512000)=1/2048
In scientific notation, this is written as 4.8828125*10^(-4).
Simplify the expression.
-50 + 3r + 50 - 3r
Answer:
0
Step-by-step explanation:
Group like terms= 3r-3r-50+50
Add similar elements= -50+50
Answer=0
I hope this helps!
Please help i’m stressing.
Answer:
130°
Step-by-step explanation:
Angle ABC = 180°-50° [°.° Supplementary angles]
= 130°
please give an answer Rationalise the denominator and find the values of a and b. 7−4√3/7+4√3 = a + b √3
Answer:
a = 97, b = - 56
Step-by-step explanation:
Given
[tex]\frac{7-4\sqrt{3} }{7+4\sqrt{3} }[/tex]
To rationalise multiply numerator/ denominator by the conjugate of the denominator.
The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]
= [tex]\frac{(7-4\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3}) }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{49-28\sqrt{3}-28\sqrt{3}-48 }{49-48}[/tex]
= [tex]\frac{97-56\sqrt{3} }{1}[/tex]
= 97 - 56[tex]\sqrt{3}[/tex]
with a = 97 and b = - 56
Answer:
a = 97, b = - 56
Step-by-step explanation:
The inverse of f(x) is a function A.true B.false
Answer:
True
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
The graph passes the horizontal line test, so the inverse relation is a function.
__
The horizontal line test requires any horizontal line intersect the graph in at most one place.
a block of glass of mass 187.5g is 5.0 cm long. 2.0 thick and 7.5 cm high. calculate the density of the glass in kgm^3
Answer:
[tex]2500 {kgm}^{3} [/tex]
Step-by-step explanation:
Density =
[tex] density = \frac{mass}{volume} [/tex]
Volume =lbh
Volume= 5x2x7.5
= 75cm^3
[tex]density( {gcm}^{3} ) = \frac{187.5}{75} \\ = 2.5 {gcm}^{3} \\ to \: change \: from \: {gcm}^{3} to \: {kgm}^{3} \\ multiply \: by \: 1000 \\ 2.5 \times 1000 \\ = 2500 {kgm}^{3} [/tex]
please help and leave answers
Answer:
The other guy got it
Step-by-step explanation
Answer:
[tex]\huge \boxed{\mathrm{36\sqrt{3} +72 \ mm^2}}[/tex]
Step-by-step explanation:
The height of the triangle is important to find the area of the rectangle.
We can split the triangle in half, we get a right triangle.
Apply Pythagorean theorem to solve for the height.
3² + b² = 6²
b² = 6² - 3²
b² = 36 - 9
b² = 27
[tex]b= 3\sqrt{3}[/tex]
The length of the rectangle is 3 + 3 + 3 + 3 = 12 mm
The width is 3 + [tex]3\sqrt{3}[/tex] + 3 = [tex]3\sqrt{3}+6[/tex] mm
The area of a rectangle is length × width.
[tex]12(3\sqrt{3}+6)[/tex]
Distribute.
[tex]36\sqrt{3} +72[/tex]
The area of the rectangle is [tex]36\sqrt{3} +72[/tex] mm².
Can someone help me on Domain and Range
Answer:
Its the second option.
Step-by-step explanation:
The domain and range are just the x (domain) and y (range) values
The area of a rectangle is 180 square centimeters. If the length of the rectangle is 15 cm, what is its width?
Answer:
[tex]width=12[/tex]
Step-by-step explanation:
The formula for the area of a rectangle:
[tex]Area=length*width[/tex]
Insert the known values:
[tex]180=15w[/tex]
Solve for w. Isolate the variable by dividing both sides by 15:
[tex]\frac{180}{15}=\frac{15w}{15} \\\\12=w[/tex]
w is equal to 12, so the width of the rectangle is 12 cm.
:Done
5x-4=-3-x so ya can yall help
Step-by-step explanation:
5x-4=-3-x
5x+x=4+(-3)
6x=1
x=1/6
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{x = 0.16}}}}[/tex]Step-by-step explanation:
[tex] \sf{5x - 4 = - 3 - x}[/tex]
Move constant to R.H.S and change it's sign
Similarly, Move variable to L.H.S and change it's sign
⇒[tex] \sf{5x + x = - 3 + 4}[/tex]
Collect like terms
⇒[tex] \sf{6x = - 3 + 4}[/tex]
Calculate
⇒[tex] \sf{6x = 1}[/tex]
Divide both sides of the equation by 6
⇒[tex] \sf{ \frac{6x}{6} = \frac{1}{6} }[/tex]
Calculate
⇒[tex] \sf{x = 0.16}[/tex]
Hope I helped!
Best regards!!
20 points!! Type the correct answer in the box. Use numerals instead of words. What value of n makes the equation true? -1/5n+7=2 n =
Hey there! :)
Answer:
[tex]\huge\boxed{n = 25}[/tex]
-1/5n + 7 = 2
Start by subtracting 7 from both sides:
-1/5n + 7 - (7) = 2 - (7)
-1/5n = -5
Multiply both sides by the reciprocal of -1/5, or -5.
(-5) · (-1/5n) = (-5) · (-5)
n = 25
Answer:
1/3
Step-by-step explanation:
that does make sense
The engineers who designed an arch used the function h(x) = -0.005061x^2 + 0.499015x to describe the height of the arch (h) a distance of x from each end. Determine the distance between the ends of the arch, and the height of the arch.
Answer:
1) The distance between the ends of the arch is approximately 98.6
2) The eight of the arc is approximately 12.3
Step-by-step explanation:
1) The function for the height of the arch, h(x) = -0.005061·x² + 0.499015·x
Where;
x = The distance from the ends of the arch = 0, which gives;
0 = -0.005061·x² + 0.499015·x
Factorizing the above equation, we get;
0 = x·(-0.005061·x + 0.499015)
Which gives;
x = 0 or (-0.005061·x + 0.499015) = 0
-0.005061·x + 0.499015 = 0 gives;
-0.005061·x = -0.499015
x = -0.499015/(-0.005061) ≈ 98.6
Therefore, the height of the arch is zero at distance x = 0 and x = 98.6
Which gives the distance between the ends of the arch = 98.6
2) The height of the arc function h(x) = -0.005061·x² + 0.499015·x, whereby the coefficient of x² is negative, shows that it is ∩-shaped, the coordinates height and therefore, the height, is given by equating the derivative of the function to zero as follows;
d(h(x))/dt = d(-0.005061·x² + 0.499015·x)/dt = 2×(-0.005061)×x + 0.499015
d(h(x))/dt = 0 gives;
2×(-0.005061)×x + 0.499015 = 0
x = -0.499015/(2×(-0.005061)) ≈ 49.3
Therefore, the height of the arc, is the height at the point where x = 49.3
Therefore, we find the height of the arc from the height equation as follows;
h(x) = -0.005061×(49.3)² + 0.499015×49.3 ≈ 12.3
The eight of the arc is approximately 12.3.
Find the sum of 1st 50 odd natural numbers
[tex] \Large{ \boxed{ \mathbb{ \pink{SOLUTION:}}}}[/tex]
The AP would be like:
1, 3, 5, 7........[50 terms]Now,
➝ First term = 1
➝ Common difference = 2
➝ No. of terms = 50
By using formula,
[tex] \large{ \boxed{ \rm{S_n = \frac{n}{2} \bigg(2a + (n - 1)d \bigg)}}} [/tex]
Here,
a = First termn = number of termsd = common difference Sn = sum of n termsProceeding further,
➝ S50 = 50/2{ 2 × 1 + (50 - 1)2 }
➝ S50 = 25{ 2 + 49 × 2 }
➝ S50 = 25{ 100 }
➝ S50 = 2500
⛈️ Sum of 50 terms of AP = 2500
Shortcut trick:- n^2
Then, Sum of 50(n) terms = 50^2 = 2500
☘️ Hence, solved !!
━━━━━━━━━━━━━━━━━━━━
Answer:
2500
Step-by-step explanation:
The Sum of First 50 Odd Natural Numbers:
1+3+5+7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75+77+79+81+83+85+87+89+91+93+95+97+99
= 2500
please answer will mark brainliest need to find the slope!
Answer:
0.3
Step-by-step explanation:
Solve for b
4b+8=3b
B=?
Answer:
[tex]\huge\boxed{b=-8}[/tex]
Step-by-step explanation:
[tex]4b+8=3b\\\\4b+8-8=3b-8\\\\4b=3b-8\\\\4b-3b=3b-3b-8\\\\\boxed{b=-8}[/tex]
Answer:
b = -8
Step-by-step explanation:
4b+8=3b
Subtract 4b from each side
4b-4b+8=3b-4b
8 = -b
Multiply each side by -1
-8 = b
Two points in a rectangular coordinate system have the coordinates (5.5, 2.9) and (−3.5, 4.8), where the units are centimeters. Determine the distance between these points.
Answer:
The distance between these points is approximately is 9.198 units.
Step-by-step explanation:
Let be (5.5, 2.9) and (-3.5, 4.8) the location of the points in Cartesian plane. The straight line distance between both points ([tex]d[/tex]) is determined by the Pythagorean Theorem, which is described below:
[tex]d = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex]
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Horizontal components of each point, dimensionless.
[tex]y_{A}[/tex], [tex]y_{B}[/tex] - Vertical components of each point, dimensionless.
If [tex]A = (5.5, 2.9)[/tex] and [tex]B = (-3.5,4.8)[/tex], the distance between these points is:
[tex]d = \sqrt{(-3.5-5.5)^{2}+(4.8-2.9)^{2}}[/tex]
[tex]d\approx 9.198[/tex]
The distance between these points is approximately is 9.198 units.
Square root of 4489 by division method
Consider first two digits and then the next two digits.If there are three digits in the given number then first consider the first digit and then the take two digits together
6 | 4489 | 6x
36
12x | 889 |
Now the number 889 has 9 in units place so take a share number which has 9 at the end (ex.3*3=9 and 7*7=49)
So put 7 in the place of x and multiply the x value with 12x(that is 127) u will get the remainder as 0
Therefore the square root of 4489 is 6x*6x i.e. 67*67=4489
Draw the multiplication table on the P=(3,5,7,9) in module 12
Answer:
Find the attached file for the solution
Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,
When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.
Find the attached file for the solution and table.
Mattie bought a piece of rope that was 10.8 yards long. She needs to cut 8 equal pieces. How long will each pie be?
Answer:
Your answer will be 1.35
A rectangular prism is 12 cm long, 6 cm wide, and 5 cm high.
What is the volume of the rectangular prism?
O A. 23 cubic cm
B. 72 cubic cm
C. 162 cubic cm
D. 360 cubic cm
Answer:
D. 360 cubic cm.
Step-by-step explanation:
The volume = l * w * h
= 12 * 6 * 5
360 cu cm.
The volume of the rectangular prism is 360 cubic cm
A rectangular prism is a three-dimensional shape. It also known as a cuboid.
Characteristics of a rectangular prism
It has six faces. Opposite sides are identical It has 12 sides It has 6 verticesVolume = length x width x height
12 x 6 x 5 = 360 cubic cm
A similar question was solved here: https://brainly.com/question/12449923?referrer=searchResults
f(x) = 17 - 2x
Find f(a + 7)
Answer:
-2a + 3
Step-by-step explanation:
We can substitute a + 7 for x:
f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3
A shopkeeper gained Rs 8 by selling a pen by allowing 10% discount. Hw would have gained Rs 20, if he had not allowed discount. What was the cost price of the pen?
Answer:
Cost of the pen = Rs.100
Step-by-step explanation:
Let the marked price = x
When the shopkeeper is selling for x, his gain = Rs. 20
Cost price = Marked price - Gain = x - 20 --------(I)
After discount:
Discount = 10%
Marked price after discount = (100 - 10)% of x = 90% of x
= 0.9 * x = 0.9x
When the shopkeeper is selling for 0.9x, his gain = Rs.8
Cost price = Marked price - gain = 0.9x - 8 -------(II)
From (I) and (II)
x - 20 = 0.9x - 8
x = 0.9x - 8 + 20
x = 0.9x + 12
x - 0.9x = 12
0.1x = 12
x = 12/0.1
x = 120
Marked price of pen = Rs.120
Cost price = 120 - 20
Cost price = Rs. 100
An opera house has a seating capacity of 872 people with each ticket costing 50 Rupees .If the opera house is running for 15 days ,how much money will it make?
Answer:
654000 Rupees
Step-by-step explanation:
If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day
872 x 50 = 43600
We multiple that number by the amount of days open so is would be 43600 x 15
43600 x 15 = 654000
Therefore it will make 654000 Rupees
Solve for "X"
16 = 9 + x - 3
Answer:
x = 10
Step-by-step explanation:
Step 1: Write out equation
16 = 9 + x - 3
Step 2: Combine like terms
16 = x + 6
Step 3: Subtract 6 on both sides
10 = x
Step 4: Rewrite
x = 10
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{16 = 9 + x - 3}[/tex]
Subtract 3 from
⇒[tex] \sf{16 = 6 + x}[/tex]
Swap the sides of the equation
⇒[tex] \sf{6 + x = 16}[/tex]
Move 6 to right hand side and change it's sign
⇒[tex] \sf{x = 16 - 6}[/tex]
Subtract 6 from 16
⇒[tex] \sf{x = 10}[/tex]
Hope I helped!
Best regards!!