Answer:
x=0.333
Step-by-step explanation:
12(3x)=12
36x=12
/36 on both sides
x=0.333
13 is 23 less than 15 times a number
Answer:
13 = 15(x) - 23
x = 12/5 or 2 2/5
the lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
The answer is B
I use an online graphing calculator called Desmos. You should check it out some time :)
Please answer. will mark brainliest.
Answer:
See explanation
Step-by-step explanation:
Line A
gradient = 4
x-intercept = -1
y-intercept = 4
Line B
gradient = -3
x-intercept = -1
y-intercept = -3
y + 8x = - 72
x-intercept = -9
y-intercept = -72
help please and thank you
What is the y intercept of the function f(x)= -2/9x + 1/3?
Answer:
1/3
Step-by-step explanation:
plug in 0 for x
0 * anything = 0 (cancels out the -2/9) and you're left with 1/3
The area of a triangle garden can
be no more than 120 square
feet. The base of a triangle
is 16 feet in
lenght What
inequalitie describes the
possible heights, h, of the
triangular garden?
Answer:
0< h ≤ 15
Step-by-step explanation:
A = 1/2 * base * height = 1/2*16*h = 8h
A no more is ≤.
A ≤ 120
8h ≤ 120
h ≤ 15
0< h ≤ 15
Height should be more than 0 feet and no more than 15 feet.
plz can someone help me with this plzz
Answer:
p: 42
a: 82.16
Step-by-step explanation:
For perimeter, add all the sides together
For area, multiple the longer side by the shorter side
How do I complete this formal check?
Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
I WILL MARK BRAINLIST!! HURRY HELP!! PEASE THANK YOUU
A rectangle has an area of 345 square millimeters and a base of 15 millimeters. What is the height?
Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.
Area of a Rectangle = b x h
So, to find the height, we would reverse it by dividing the area by the base.
Work:
345/15 = 23
So, 23 would be our height.
Thus, the height of the rectangle is 23 millimeters.
Answer:
23 millimeters
Step-by-step explanation:
The area of a rectangle can be found using the following formula.
a=b*h
We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.
a=345
b=15
Substitute these variables into the formula.
345=15*h
We want to find out what the height, or h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.
345/15=15*h/15
345/15=h
23=h
Add appropriate units. In this case, the units are millimeters.
h=23 millimeters
The height of the rectangle is 23 millimeters.
Decide whether the equation is a function, not a function, linear but not a function, or a linear function. Choose the best option.
8x-3y=-2
а
b
Function
Not a Function
Linear But Not a Linear Function
Linear Function
С
d
Answer:
Linear Function
Step-by-step explanation:
8x-3y = -2
-3y = 8x-2
3y = -8x+2
y = [tex]\frac{-8x+2}{3}[/tex]
y = [tex]-\frac{8}{3}x+\frac{2}{3}[/tex]
Linear Function
B^7 divided b^4 simplified
Answer:
[tex] = {b}^{3} [/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \frac{ {b}^{7} }{ {b}^{4} } \\ = {b}^{7 - 4} \\ = {b}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
ASAP! The graph of an exponential model in the form y = a ⋅ bx passes through the points (1, 10) and (2, 20). Which point is also located on the graph? a) (0,0) b) (0,5) c) (3,30) d) (2,20)
Answer:
b
Step-by-step explanation:
Because y increases by a factor of 2 every time x goes up by 1, the opposite happens when x decreases by 1. This means that when x = 0, y = 5 so the answer is b.
Applying the points and finding the equation, it is found that point (0,5) is also on the graph, option b.
The exponential equation has the following format:
[tex]y = ab^x[/tex]
Point (1,10) means that when [tex]x = 1, y = 10[/tex], thus:
[tex]ab = 10[/tex]
Point (2,20) means that when [tex]x = 2, y = 20[/tex], thus:
[tex]ab^2 = 20[/tex]
From the first equation:
[tex]a = \frac{10}{b}[/tex]
Replacing on the second:
[tex]\frac{10}{b}b^2 = 20[/tex]
[tex]10b = 20[/tex]
[tex]b = \frac{20}{10}[/tex]
[tex]b = 2[/tex]
So
[tex]a = \frac{10}{b} = \frac{10}{2} = 5[/tex]
Then, the equation is:
[tex]y = 5(2)^x[/tex]
When [tex]x = 0, y = 5(2)^0 = 5[/tex], thus point (0,5) is also on the graph, which means that option b is correct.
A similar problem is given at https://brainly.com/question/14773454
In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°
Answer:
Option (2).
Step-by-step explanation:
This question is incomplete; here is the complete question and find the figure attached.
In the diagram of a circle O, what is the measure of ∠ABC?
27°
54°
108°
120°
m(minor arc [tex]\widehat {AC}[/tex]) = 126°
m(major arc [tex]\widehat {AC}[/tex]) = 234°
By the intersecting tangents theorem,
If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.
m∠ABC = [tex]\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})][/tex]
= [tex]\frac{1}{2}(234-126)[/tex]
= 54°
Therefore, Option (2) will be the answer.
Answer:
B.
Step-by-step explanation:
2 Points
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
A. Square meters
B. Centimeters
C. Meters
D. Cubic meters
SUBMIT
Answer:
D. Cubic meters
Explanation:
Anytime you see a question asking about volume, the units will always have cubic in it.
Answer:
D
Step-by-step explanation:
For the volume of a sphere with radius of 2 meters, Since here, the unit is "meters", so the volume of this sphere would be in cubic metres.
Please simplify then determine the value of the polynomial when n=3 and when n=2.
a) (5n^2 + 3n -4) + (-3n^2 + 4n -1)
b) (7n^2 - 5n - 2) - (-n^2 + 6n + 8)
please do a step-by-step explination if needed. i will make sure to give you brainliest.
Answer:
Simplified Expression a ) 2n^2 + 7n - 5,
Simplified Expression b ) 8n^2 - 11n - 10,
When n = 3 part a ) 34,
When n = 2 part a ) 17,
When n = 3 part b ) 29,
When n = 2 part a ) 0
Step-by-step explanation:
Consider the " simplification " process at hand;
[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]
[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]
For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;
Value of each polonomial;
[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]
[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]
Each expression was solved through substitution and algebra.
" Simplified " Solution - See in answer above
* I hope the answer wasn't too confusing, for further information look through my response thoroughly
Easy Grade 7 Math
First answer will be marked brainliest (has to have explanation)
Find the value of X! Thanks so much for your help :) Picture above
Answer:
Step-by-step explanation:
Angles x and z are supplementary, meaning that they add up to 180. From the markings on the diagram, angle z and the angle measuring 20 are complementary, meaning they add up to 90. So the game plan is to find out the measure of angle z first, then use that to find the measure of angle x.
angle z = 90 - 20 so
angle z = 70 degrees. And
angle z + angle x = 180. Subbing in our value for z:
70 + angle x = 180 and
angle x = 180 - 70 so
angle x = 110 degrees
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The x term is 1 in all the pairs this would form a horizontal line (x=1)
Answer: C) ((-2,7), (0,12), (1,4), (1,5)
Step-by-step explanation: An ordered pair will usually have a pattern that'll repersent a linear function. Out of all of the options only C as a constant pattern.
I hope this helps!
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) translated 11 units up
B It is the graph of f(x) translated 11 units to the left
C It is the graph of f(x) where the slope is increased by 11
D It is the graph of f(x) translated 11 units to the right
Step-by-step explanation:
I think A
I hope it will help
Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs. (b) How many packs of butter does Deon need to buy?
Answer:
200g of sugar, 600g of flour, 400g of butter
Step-by-step explanation:
50g sugar = 15 biscuits
3 x 50g = flour --) 150g = flour
2 x 50g = butter --) 100g = butter
60/15 = 4; 4 times as much
4 x 50g = 200g of sugar
4 x 150g = 600g of flour
4 x 100g = 400g of butter
No rush. I need help on this question. I need an explanation pleaseeeeee. Thank you in advance!
Answer:
1) 275
2)60
Step-by-step explanation:
1) 55 x 5 =275
2) 12 x 5 = 60
Hope it helps!
Answer:
2 vans and 7 busses
Step-by-step explanation:
Let x=# of busses
Let y=# of vans
55x+12y=409
x=y+5
55(y+5)+12y=409
55y+275+12y=409
67y+275=409
134=67y
y=2
There were two vans, and y+5 (7) busses
If anybody knows anything I beg you help PLS HELP
Answer:
7.809 g/cm^3
Step-by-step explanation:
Density is mass over volume so we need to find the mass and volume of the steel.
First we find the volume of the wood:
Vw = 9*6*6 = 324 cm^3
now we can find the mass of the wood, as mass = density * volume
mw = .68*324 = 220.32g
subtracting the mass of wood from total mass, we get the mass of steel
970-220.32 = 749.68g
now we can find the volume of the pyramid
Vs = 1/3 *6*6* (17-9) = 96 cm^3
Now we divide mass by volume to get density
749.68/96 = 7.809 g/cm^3
Confirming this with known data, density of steel is roughly between 7.75 and 8.05 g/cm^3 so we know we're correct.
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before
adding the equations together?
First Equation: 5x - 4y = 28
Second equation: 3x - 3y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the Second equation by -5.
The first equation should be multiplied by 9 and the second equation by 4
The first equation should be multiplied by 9 and the second equation by -4.
Mark this and retum
Save and Exit
Next
Submit
Answer:
To eliminate y- terms
Multiply equ(1) by 3 and equ(2) by -4
To eliminate y- terms
Multiply (1) by 3 and (2) by -5
Step-by-step explanation:
5x - 4y = 28 (1)
3x - 3y = 30 (2)
To eliminate y- terms
Multiply equ(1) by 3 and equ(2) by -4
15x-12y=84
-12x+12y= -120
Add equ (3) and (4)
3x=84-120
3x=-36
x=-36/3
= -12
x=-12
To eliminate x- terms
5x-4y=28
3x-3y=30
Multiply (1) by 3 and (2) by -5
15x-12y=84
-15x+15y=-150
Add the new equation
3y= -66
y= -22
Find the largest value of x that satisfies the equation |5x − 1| = x + 3.
Answer:
1
Step-by-step explanation:
Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.
5x-1=x+3
5x=x+4
4x=4
x=1
Hope this helps!
what is the value of x?
Answer:
60
Step-by-step explanation:
60 times 2 is 120 plus 24 is 144
what is the midpoint of the segment shown below (-6,-2) (-1,5)
Answer:
(-3.5,2.5)
Step-by-step explanation:
[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]
Hope this helps!
Simplify
(2 Points)
2a xa x 3a + b x 45
Answer:
[tex]6a^3+45b[/tex]
Step-by-step explanation:
[tex]2a\times a\times 3a+b\times 45[/tex]
[tex]2a\times 1a\times 3a+b\times 45[/tex]
[tex]2\times 1\times 3 \times a \times a \times a+b\times 45[/tex]
[tex]6a^3+b \times45[/tex]
[tex]=6a^3+45b[/tex]
Answer:
6a^3 + 45b
Step-by-step explanation:
=2a × a × 3a + b × 45
=2a × 1a × 3a + b × 45
=2 × 1 × 3 × a × a × a + b × 45
=6a^3 + b × 45
= 6a^3 + 45b
[tex] - \frac{1}{2} x > 4[/tex]
Answer:
x< -8
Step-by-step explanation:
To solve the inequality, we must get x isolated.
-1/2x>4
We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.
-1/2x / -1/2 > 4/ -1/2
When dividing by fraction, you can also multiply by the reciprocal.
To find the reciprocal, flip the numerator and the denominator.
-1/2–> -2/1
-2/1 *-1/2x > 4* -2/1
x> 4* -2/1
When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.
x < 4* -2/1
x < 4*-2
x< -8
identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12
Answer:
o7 fy hk hpxi oyli ifuod pir8
Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)
Answer:
[tex]-\frac{16}{17}\\-0.94117[/tex]
Step-by-step explanation:
[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]
People pay to visit a stately home [tickets age 16 and over : £18.60 ..under 16:£12.80] 155 people pay and 49 of these people are under 16. How much money is collected
Answer: £2598.80
Step-by-step explanation:
Let those under 16 be x
Those over 16 be y
49 + y = 155
y = 155-49
y = 106 = over 16
for over 16, y * 18.60
= 106 * 18.60 = 1971.60
For under 16, x * 12.80
= 49 * 12.80 = 627.20
please help i don’t understand what so ever
Answer:
x=6
Step-by-step explanation:
Because of the Pythagorean theorem, you know that the square of the two legs of a right triangle will be equal to the square of the hypotenuse. Conversely, the square of one of the legs will be equal to the square of the other leg subtracted from the square of the hypotenuse. Therefore:
[tex]x^2=10^2-8^2 \\\\x^2=100-64\\\\x^2=36\\\\x=6[/tex]
Hope this helps!
Answer:
6
Step-by-step explanation:
By Pythagoras theorem
10^2 = 8^2 + x^2
100= 64 + x^2
X^2 =100-64
X^2= 36
[tex]x = \sqrt{36} \\ x = 6[/tex]
Hope this helps..