Answer:
The paint will not fill the tray by 10.53 in3.
Step-by-step explanation:
Length = 14 inches
Width = 10 inches
Depth = 4 cm = 1.57 inches
Volume = length x width x depth
Volume = 14 x 10 x 1.57
= 220.47 inches cube
Volume of Gallon = 231 inches cube
(write and solve an algebraic equation to find the measure of each angle based on the given description.)
***11. Two angles form a linear pair. The measure of one angle is 24° more than the
measure of the other angle.
Answer:
The angles are 78° and 102°.
Step-by-step explanation:
Let the one angle is y and the other number if y + 24.
The sum of the angles of the linear pair is 180°.
So, according to the question
y + y + 24 = 180
2 y = 180 - 24
2 y = 156
y = 78°
So, one angle is 78° and the other is 78° + 24° = 102°.
Which is the correct slope-intercept equation for a line that passes through the points (1,-3) and (-3,17)
Answer:
[tex]y=-5x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (1,-3) and (-3,17)
[tex]=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5[/tex]
Therefore the slope of the line is -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-5x+b[/tex]
Plug in one of the given points and solve for b
[tex]-3=-5(1)+b\\-3=-5+b[/tex]
Add 5 to both sides of the equation to isolate b
[tex]-3+5=-5+b+5\\2=b[/tex]
Therefore, the y-intercept of the equation is 2. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+2[/tex]
I hope this helps!
hi i need help with this algebra vocabulary please
Answer:
slope
Step-by-step explanation:
The slope is the rise divided by the run
Answer: The slope.
Step-by-step explanation: That's what I think.
N which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
Answer:
53,901
Step-by-step explanation:
Here is the complete question :
In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
43,567
45,248
53,901
562,011
In the number 245,093 :
3 = units
9 = tens
0 = hundred
5 = thousand
4 = ten thousand
2 = hundred thousand
the value of 5 in the number is 5000. the number that would have a value that it 10 times greater than 5 in 245,093 must occupy the value of ten thousand.
looking through the options, it is only in 53,901 that 5 occupies a value of ten thousand
A jar of M&M’s : 24 brown , 13 orange, 15 red , 10 green , 15 yellow , and 10 blue. Jim is blindfolded and will draw a single M&M out of the jar, What is the probability that it will be a brown one ?
Answer: 24/87 or 8/29
Step-by-step explanation:
24+13+15+10+15+10=87, the total amount of M&M's.
24 are brown, so 24/87 chance that he will draw a brown one.
24/87 = 8/29 simplified.
Which object is the result of rotating the triangle about line m?
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answer:
4X+5
Step-by-step explanation:
Dan : X
Harry: X+5
Regan: 2X
X+X+5+2X
Answer:
[tex]Mean = \frac{4x + 5}{3}[/tex]
Step-by-step explanation:
Given:
Dan sold = x
Harry sold 5 more than Dan, that is = x + 5
Regan sold twice as Dan = 2x
[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]
In a triangle HIJ, i = 6.6 inches, j = 6.4 inches and Angle,H=62º. Find the length of h, to the
nearest 10th of an inch.
Answer:
7.6 inches
Step-by-step explanation:
We solve the above question using the Law of Cosines.
The formula is given as:
h² = i² + j² - 2ij Cos H
h = √i² + j² - 2ij Cos H
From the above question:
i = 6.6 inches
j = 6.4 inches
Length h = ?
Angle H=62º.
Hence:
h= √6.6² + 6.4² - 2 × 6.6 × 64 × Cos 62
h = √43.56 + 40.96 - 84.48 × Cos 62
h = 7.64292 inches
Approximately to the nearest tenth, Length h = 7.6 inches
Answer:
6.7
Step-by-step explanation:
square root and round
Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x
someone help por favor
Answer:
2x+6>20
2x>20-6
2x/2>14/2
x>7
So your answer would be B
How many students were questioned about the approximate number of text messages they send each day? Explain or show how you arrived at your answer.
Answer:
100 students were asked.
Step-by-step explanation:
11+21+ 33+ 23+ 12
11+12= 23
23+ 23= 46
46+ 21= 67
67+ 33= 100
180 miles in 3 hours, what's the unit rate?
Answer:
60 or 60:1
Step-by-step explanation:
You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.
Answer:
60
Step-by-step explanation:
60
Which expression is equivalent to the following complex fraction?
3/x-1 -4 /2 -2/x-1
2(x-2)
-4x+7
-4x+7
2(x-2)
-4x+7
2(x2 - 2)
26x2 - 2)
-4x+7
Answer:
[tex] \frac{3}{x - 1} - \frac{4}{2 } - \frac{2}{x - 1} \\ = \frac{(3 - 2)}{x - 1} - 2 \\ = \frac{1}{x - 1} - 2 \\ = \frac{1 - 2x + 2}{x - 1} \\ = \frac{3 - 2x}{x - 1} [/tex]
HELP PLEASE == PGR is an isosceles triangle in which PQ=PR
M and N are points on PQ and PR such that angle MRQ and angle NQR.
Prove that triangles QNR and RMQ are congruent
Answer:
Angle NQR congruent to Angle MRQ because it is given
Side QR is congruent to side QR because they are the same side
Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle
Triangle QNR is congruent to Triangle RMQ by ASA
Step-by-step explanation:
It's actually pretty simple. first you should be able to know angles NRQ and MQR are congruent because triangle PQR is isosceles . So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent. So now you can say the two triangles are similar by the angle angle postulate.
To Say they are congruent since QR is the same for both triangles you can use the ASA postulate
Help down below, I know the answers but I just wanna see if I got them correct
Answer:
Standard form: 62,080,126
Word form: Sixty-two million, eighty thousand, one hundred twenty-six
Expanded form: 60,000,000 + 2,000,000 + 80,000 + 100 + 20 + 6
What is the output, or y-value, when you input x = 0 into the function:
y = x4 - 3x + 18
Answer:
[tex]y=18[/tex]
Step-by-step explanation:
[tex]y=x4-3x+18[/tex]
[tex]y=(0)4-3(0)+18[/tex]
[tex]y=0-0+18[/tex]
[tex]y=18[/tex]
Hope this helps
Somebody please help me
Answer:
80% increase
Step-by-step explanation:
First, divide $0.25/$0.45, you get 0.8, turn it into a percent. 0.8=80%
There is an 80% increase.
Check work:
0.25x1.8=0.45
We multiply by 1.8 because 80% increase means 100% (itself) multiplied by 80% of itself, which gives us 180% or 1.8.
0.25x1.8=0.45 ✔️
Hope this helps!
:)
The width of an extra large rectangular poster is 8 inches more than half its length. The area of this poster is 306 square inches. Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.
SOMEONE HELO PLEASE 30 points
Answer: [tex]x^2+16x-612=0[/tex]
Step-by-step explanation:
Let x be the length of the poster.
As per given , width = [tex]\dfrac{x}{2}+8[/tex]
Area = Length x width
i.e.
[tex]306=(\dfrac{x}{2}+8)\times x\\\\\Rightarrow 306=(\dfrac{x+16}{2})\times x\\\\\Rightarrow 306\times2=x^2+16x\\\\\Rightarrow\ x^2+16x-612=0\\\\\Rightarrow\ x=18, x=-34[/tex].
Required equation: [tex]x^2+16x-612=0[/tex]
Write an equation for the line that contains (-15, -8) and is parallel to the
graph -3x + 5y = -8
Answer:
y=3/5x+1
Step-by-step explanation:
Hi there!
We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)
parallel lines have the same slopes, but different y intercepts.
So let's first find the slope of -3x+5y=-8
We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
add 3x to both sides
5y=3x-8
divide by 5 on both sides
y=3/5x-8/5
3/5 is in the place of where m is, so that means that 3/5 is the slope of the line
we can write the equation of the new line in slope-intercept form.
Here it is so far:
y=3/5x+b
we need to find b
Because the line will pass through the point (-15,-8), we can use it to solve for b
substitute -15 as x and -8 as y
-8=3/5(-15)+b
multiply
-8=-9+b
add 9 to both sides
1=b
substitute 1 as b into the equation
y=3/5x+1
There's the equation of the line :)
Hope this helps!
find the height x of the tree
Answer:
19.8 m
Step-by-step explanation:
To find the height of the tree, we can use the trig ratio tangent:
θ = angle, h = height
tan θ [tex]= \frac{opposite}{adjacent}[/tex]
tan 33° = h / 30.5
h = (tan 33°)(30.5)
h = (0.6494)(30.5)
h = 19.8 m
Please help asap on 1, 2 & 3!! I will mark you as brainliest!!
Answer:
18. C
19.A
20. C
Step-by-step explanation:
18.
x< 15 where x is the average that each person contributes.
This gives 3x <45, limiting the gift basket's total cost to < $45. (Actually ≤ 14.99 per person, so max cost is $44.97.
19. simple algebra
a <= -4 + 7
a <= 3
20.
since u divide and the co efficient is negative u flip the sign
-3m<15
m>-5
.find x in the following figure .plsss helppp!!!
What is the x-value of the vertex?
f (x) = (x + 2)^2 - 1
x-value of the vertex:
Rewrite the equation in expanded form:
(X+2)^2 -1 = x^2 + 4x + 3
The parabola parameters are : a = 1, b = 4, c = 3
The x vertex is -b/2a = -4/2(1) = -2
Replace x with -2 in the expanded equation to solve for the y vertex:
Y = -1
The vertex is (-2,-1)
x-value of the vertex:-2
Answer:
Solution given:
we have
f(x)=(x+2)²-1
y=x²+4x+3......(I)
parameters of parabola are:
a=1
b=4
c=3
we have
vertex=-b/2a=-4/(2*1)=-2
substitute value of x in equation 1.
y=4-8+3= -1
So
vertex(-2,1)
Help or else i will call Ghost busters!
Answer:
A.
Step-by-step explanation:
help me please question is in the picture!!!!
Answer:
AB
Step-by-step explanation:
Definition of a chord
The graph represents the piecewise function:
f(x)= { __, if -1 ≤ x ≤ 1; __, if 3 ≤ x ≤ 5 }
Answer:
4, x-1
Step-by-step explanation:
The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.
The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
The first piece of this function goes from -1 to 1.
Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
so, we have,
The second piece of this function goes from 3 to 5.
This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.
Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).
When putting this equation together we get x-1 being the second part.
Hence, The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
To learn more on graph click:
brainly.com/question/17267403
#SPJ7
You roll 2 6-sided dice 50 times. How many times should you theoretically get a sum of 7?
Okay, so it sounds like you just need a die to do this assignment. If you need a website, you can use this: https://freeonlinedice.com/#dice
There should already be one die here. Just click "roll" and record the value at the top of the screen labeled "total." Do this 30 times and write down the values each time.
I am sorry for not giving you the answer right away, I would but my school blocked the website of the link I put above.
can someone pls help for brainlest
Answer:
6.28km
Step-by-step explanation:
Hey,
We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.
Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.
2(π)(1km)=2kmπ.
The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.
6.28km is the answer!
plz help me with this
Answer:
27.7
Step-by-step explanation:
Pythagorean Theorem
[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex] (10.7 comes from half of the 21.4 side)
[tex]x^{2}[/tex] = height
A pen cost half as much as a ruler. Write an expression to describe how much the pen cost, using r as the cost of the ruler.
Answer:
r=2p
Step-by-step explanation:
If r is ruler and p is pen, ruler equals pen times 2, so its r=2p
pretty simple just fill in the blank from the drop down menu please !
Answer:
vertical hope this helps
Answer:
vertical, goodluck
Step-by-step explanation:
I took this
