Answer:
64.08
Step-by-step explanation:
3^16.90+1*20.50-7.12
Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
O A. y-2-3(x-4)
B. y-4-3(x-2)
O C. y +2 = 3(x-4)
O D. y - 4 - 3(x+2)
Hi there! :)
Answer:
Choice D. (y - 4) = 3(x + 2)
Step-by-step explanation:
An equation in point-slope form is:
(y - y1) = m(x - x1)
Where:
y1 = y-coordinate of a point
m = slope
x1 = x-coordinate of a point
In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)
Answer:
Step-by-step explanation:
answer is C
Because formula of equation of slop is
Y-y1=m(x-x1)
The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
Answer:
P=2(length+width)
the length is 4.1 cm more than the width: l=4.1+w
61=(2(4.1+w+w))
61=8.2+2w+2w
61-8.2=4w
4w=52.8
w=13.2
Answer:
14 46\14
Step-by-step explanation:
p=L+W
p=61
L=4.1
W=?
61=4.1+W
61=4.1W
61\4.1=4.1\4.1
=14 46\14
Write as an algebraic expression and simplify if possible: *150% of 50% of z whoever answers the fastest gets brainliest
Answer:
3z/4
Step-by-step explanation:
Here, we start by calculating the 50% of z
mathematically, that would be 50/100 * z = 50z/100 = z/2
Now we want to calculate the 150% of this.
That would be 150/100 * z/2 = 150z/200 = 3z/4
130 students choose to attend one of three after school activities: football, tennis or running. There are 58 boys. 49 students choose football, of which 27 are girls. 27 students choose tennis. 24 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer: [tex]\dfrac{27}{65}[/tex]
Step-by-step explanation:
There are 130 students.
There are 58 boys --> 72 girls
A) 49 chose football: 27 are girls --> 22 are boys
B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis
C) 27 students chose tennis: 21 are girls --> 6 are boys.
D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.
[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}[/tex]
Total running = 30 boys + 24 girls = 54
Total students = 130
[tex]\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}[/tex]
So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one face of the cube b: use this answer to determine a polynomial that represents the length of an edge of the cube c: what is the length of an edge of the cube when r = 3 cm
Answer:
a. 4r² b. 2r c. 6 cm
Step-by-step explanation:
The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.
Now, equating both expressions, 6L² = 24r²
dividing both sides by 6, we have
6L²/6 = 24r²/6
L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².
b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have
√L² = √4r²
L = 2r
So, the polynomial that represents the length of an edge of the cube is L = 2r
c. The length of an edge of the cube is L = 2r. When r = 3 cm.
L = 2r = 2 × 3 cm = 6 cm
So, the length of an edge of the cube is 6 cm.
Paul is a year older than his wife and they have two children who are also one year apart. Paul notices that on his birthday in 2011, the product of his age and his wife's age plus the sum of his children's ages is 2011. What would have been the result if he had done this calculation thirteen years before?
Answer:
997
Step-by-step explanation:
Well let's find the square root of 2011 because Paul and his wife are about the same age.
[tex]\sqrt{2011}[/tex]
= 44.8
Paul is 45 and his wife is 44.
44 + 45 = 1980.
2011 - 1980
= 31
So the children are 15 and 16.
45 + 44 + 15 + 16
= 997
Paul and wife - 45 and 44
Children - 15 and 16
Thus,
13 years ago they would be 997.
Hope this helps :)
Can anyone answer this?
Answer:
Because the triangle is isosceles, the base angles are congruent. Since the sum of angles in a triangle is 180° we can write:
24 + x + x = 180
24 + 2x = 180
2x = 156
x = 78°
Answer:
[tex]\boxed{x=78}[/tex]
Step-by-step explanation:
The triangle is an isosceles triangle.
The two base angles are equal.
Angles in a triangle add up to 180 degrees.
x + x + 24 = 180
Combine like terms.
2x + 24 = 180
Subtract 24 on both sides.
2x = 156
Divide both sides by 2.
x = 78
greater than (−8) but less than (−2)
Answer:
-8 < x < -2
start number line at -10 and end it at 0
draw an open circle* over the dash indicating -8 and -2
connect the open circles
*open circle because it is less than and greater than, not less than or equal to and greater than or equal to
Answer:
-8<x<-2
Step-by-step explanation:
yw luv :D
PLEASE HELP If f(x) = 2x-1 + 3 and g(x) = 5x - 9, what is (f-g) (x)
Answer:
2^(x-1) -5x +12
Step-by-step explanation:
f(x) = 2^(x-1) + 3
g(x) = 5x - 9
(f-g) (x) = 2^(x-1) + 3 - ( 5x-9)
Distribute the minus sign
2^(x-1) + 3 - 5x+9
Combine like terms
2^(x-1) -5x +12
Find the equation of the line.
Answer:
y = (-1/3)x + 5
Step-by-step explanation:
The format of the equation of line required is in slope-intercept form:
y = mx + c
m is the slope, and c is the y-intercept.
First, lets find the slope.
Randomly find 2 points on the line. Label them as (x1, y1) and (x2, y2)
Let's say I pick the points (0,5) and (9, 2).
slope m = (y2 - y1) / (x2 - x1)
slope = (2-5 ) / (9-0)
= -3 / 9
= -1/3
the y-intercept is the point where the line cuts through the y-axis, which is 5 in this case.
Therefore, the equation of the line will be:
y = (-1/3)x + 5
Which choice is equivalent to the expression below?
V-64
Explanation:
By definition, i = sqrt(-1)
Which means,
sqrt(-64) = sqrt(-1*64)
sqrt(-64) = sqrt(-1)*sqrt(64)
sqrt(-64) = i*sqrt(8^2)
sqrt(-64) = i*8
sqrt(-64) = 8i
On the second line, I used the rule sqrt(x*y) = sqrt(x)*sqrt(y). The fourth line used the rule sqrt(x^2) = x when x is nonnegative.
Answer:
Click 8i for Correct Answer
Step-by-step explanation:
help me pls with this complete a and B I will give you brainliest if answer is correct:-)
Answer:
a) Multiplied by 1.04
b)160(1.06)=169.6
Step-by-step explanation:
Its increasing so (1+4%) will be what it multiplied to.
Hope it helps u
160(1+6%)=169.6
2/3 divided by 5?If she walks 2/3 by another 5.
Answer:
The answer is 0.133
Step-by-step explanation:
All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.
Answer:
Hello! 2/3 divided by 5 in fraction will be 2/15
Step-by-step explanation:
Since we have a 5 we need to change that into a fraction
5 would turn into 1/5
Now you have to multiply both of the fractions to get your answer.
2/3 x 1/5
= 2/15
(So 2/15 will be your answer.)
Hope this helps! :)
Jeffrey is 5 years older than his brother. If j represents Jeffrey's age, the expression j−5 can be used to find his brother's age. If Jeffrey is 23, how old is his brother
Answer:
18
Step-by-step explanation:
j represents Jeffrey's age
j - 5 represents brother
Jeffrey is 23 so j = 23
j-5 = 23-5 =18 = brother
Answer:
J=23
Then J-5= his brother
substitute and u will find j-5=23-5
=18 so his brother age is 18 years old
Step-by-step explanation:
Please help.. tysm if you do
Answer:
the answer is option A one graph
and I think or am sure it is correct ans.
Plz Help, and solve. Show your work. I will give Brainliest. A - 7 = -13 solve and show your work 10X - 8 = 9X + 8 Can a right triangle have sides that measure 12, 16, and 20? Show your work and answer.
Answer:
A - 7 = -13
Add 7
A = -6
10X - 8 = 9X + 8
Add 8
10X = 9X + 16
Subtract 9X
X = 16
In a right triangle, where a and b are the shorter sides, and c is the longer side a^2+b^2=c^2
Thus, plug in the values.
12^2+16^2=20^2
144+256=400
400=400.
Because the equation is true, 12, 16, and 20 can be a right triangle
Hope it helps <3
Answer:
For the first question/equation, A=-6. You can just add seven on both sides.
A-7+7=-13+7 A=-6
For the second question, X=16. You can minus 9x on both sides, then plus 8 on both sides. 10X-9X-8+8=9X-9X+8+8=X=16
For the last one, yes, it can because of 12^2+16^2=20^2. Which simplified is . 144+256= 400. So, yeah. It can be a right triangle.
the area of a square ground is 42025 metre square.Find the perimeter of the field.
Answer:
[tex] \boxed{820 \: m}[/tex]Step-by-step explanation:
Given,
Area of square ground = 42025
Now, let's find the length of square ground
Area of square = [tex] = {l}^{2} [/tex]
plug the values
[tex]42025 = {l}^{2} [/tex]
Swipe the sides of the equation
[tex] {l}^{2} = 42025[/tex]
Squaring on both sides
[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]
Calculate
[tex]l = 205[/tex] meters
The length of square ground = 205 meters
Now,Let's find the perimeter of square
Perimeter of square [tex] = 4l[/tex]
plug the value of length
[tex] = 4 \times 205[/tex]
Multiply the numbers
[tex] = 820[/tex] meters
Hope I helped.
Best regards!!
SOMEONE PLS HELP ASAP!!!
The exponential function h, represented in the table, can be written as h(x)=a⋅b^x.
x h(x)
0 10
1 4
Complete the equation for h(x) h(x)=?
Answer: [tex]h(x)=10(0.4)^x[/tex]
Step-by-step explanation:
The exponential function h, represented in the table, can be written as [tex]h(x)=ab^x[/tex]
From table, at x=0, h(x) =10
Put theses values in equation,, we get
[tex]10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10[/tex]
Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get
[tex]4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4[/tex]
Put value of a and b in the equation ,
[tex]h(x)=10(0.4)^x[/tex] → Required equation.
Which list of ordered pairs represents solutions to x+y=2?
(-4, 6), (0, 2), (4, 2)
(-4, 6), (0, 2), (4, -2)
04-4, -6), (0, 2), (4, 2)
Answer:
(-4, 6), (0, 2), (4, -2)
Step-by-step explanation:
You just need to guess and check.
(-4,6) → -4 + 6 = 2 ✔
(0,2) → 0+2 = 2 ✔
(4,2) → 4 + 2 = 6
(4, -2) → 4 - 2 = 2 ✔
(-4,-6) → -4 - 6 = -10
The correct answer is the second list (-4, 6), (0, 2), (4, -2)
5x+4y=25 - (5x+2y=3)
Answer:
T1he values for x and y of the equations is y = 11, and x = -19/5.
Step-by-step explanation:
To solve this question, we need to rearrange the expression:
5x+4y=25 - (5x+2y=3)
Look, if we subtract one equation to the other, then:
5x+4y=25 [1]
-(5x+2y=3) [2]
Which is the same as:
5x+4y=25
-5x-2y=-3
Subtract them:
5x+4y=25
-5x-2y=-3
---------------
2y =22
y = 22/2 = 11
Then, y = 11.
To find x, we can substitute y in either equation [1] or [2].
Let us use [1]
5x+4y=25
5x+4(11)=25
5x+44=25
5x=25-44
5x=-19
x = -19/5
Then, the values for x and y of the equations is y = 11, and x = -19/5.
The coordinates of A, B, and C in the diagram are A (p, 4), B (6, 1 ), and C (9, q). Which equation correctly relates p and q? ↔ ↔ ↔ ↔ Hint: Since AB is perpendicular to BC, the slope of AB × the slope o BC = -1. A. -q − p = 7 B. q − p = 7 C. p − q = 7 D. p + q = 7
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:
C p+q=7
Step-by-step explanation:
I did it on plato and it was right
I need a. Correct answer I’ll mark brainliest
Answer:
7^11 / 4^11
Step-by-step explanation:
( 7/4) ^ 11
We know that ( a/b) ^c = a^c / b^c
7^11 / 4^11
Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Step-by-step explanation:
There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]
So we can apply this rule to this problem.
[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
simultaneous equations 5x+y=28 x+y=2
Answer:
[tex]( \frac{13}{2} \:, - \frac{9}{2} )[/tex]Step-by-step explanation:
[tex]5x + y = 28[/tex]
[tex]x + y = 8[/tex]
Solve the equation for y by moving 'x' to R.H.S and changing its sign
[tex]5x + y = 28[/tex]
[tex]y = 2 - x[/tex]
Substitute the given value of y into the equation 5x + y = 28
[tex]5x + 2 - x = 28[/tex]
Solve the equation for x
Collect like terms
[tex]4x + 2 = 28[/tex]
Move constant to R.H.S and change its sign
[tex]4x = 28 - 2[/tex]
Subtract the numbers
[tex]4x = 26[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{26}{4} [/tex]
Calculate
[tex]x = \frac{26}{4} [/tex]
Reduce the numbers with 2
[tex]x = \frac{13}{2} [/tex]
Now, substitute the given value of x into the equation y = 2 - x
[tex]y = 2 - \frac{13}{2} [/tex]
Solve the equation for y
[tex]y = - \frac{9}{2} [/tex]
The possible solution of the system is the ordered pair ( x , y )
[tex](x \: y) = ( \frac{13}{2} , \: - \frac{9}{2} )[/tex]-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
[tex]5 \times \frac{13}{2} - \frac{9}{2} = 28[/tex]
[tex] \frac{13}{2} - \frac{9}{2} = 2[/tex]
Simplify the equalities
[tex]28 = 28[/tex]
[tex]2 = 2[/tex]
Since , all of the equalities are true, the ordered pair is the solution of the system.
[tex](x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2}) [/tex]
Hope this helps....
Best regards!!
Answer:
[tex]\boxed{x=6.5} \\ \boxed{y=-4.5}[/tex]
Step-by-step explanation:
5x + y = 28
x + y = 2
Subtract both equations. (eliminating y variable)
4x + 0 = 26
4x = 26
Divide both sides by 4.
x = [tex]\frac{26}{4}[/tex]
x = 6.5
Plug x as 6.5 in the second equation and solve for y.
6.5 + y = 2
Subtract 6.5 on both sides.
6.5 - 6.5 + y = 2 - 6.5
y = -4.5
For which of the following compound inequalities is there no solution?
Answer:
D
Step-by-step explanation:
|6y-3|+8=35
|6y-3|=35-8
|6y-3|=27
[|x-a|=b⇒x-a=± b]
6y-3=±27
1. case 1
6y-3=27
6y=27+3
6y=30
y=30/6=5
case 2.
6y-3=-27
6y=-27+3
6y=-24
y=-24/6=-4
so D
6m≤36
m≤36/6
or m≤6
and m+24≥20
m≥20-24
m≥-4
no solution as m≤-6 and m≥-4
can someone please tell me what is 100% of 45
Answer:
45.
Step-by-step explanation:
100% of a number is the number itself. So, 100% of 45 is 45.
Hope this helps!
Answer:it’s 45
Step-by-step explanation:It’s just the whole number nothing less:)
What is the value of 13 squared?
Answer: 169
Step-by-step explanation:
13 squared = 13*13
Simply plug this into a calculator to get 169
Hope it helps <3
Answer:
169
Step-by-step explanation:
the answer is 169 because u will square the 13
Graph the line that represents this equation 3x - 4y = 8
The graph of the given linear equation can be seen at the end.
How to graph the line?
Here we have the linear equation:
3x - 4y = 8
Isolating, y, we can rewrite:
-3x + 4y = -8
4y = -8 + 3x
y = (-8 + 3x)/4
y = (3/4)*x - 2
Now, we can evaluate the line in two values of x, so we can get two points on the line.
Evaluating in x = 0 and x = 4 we get:
if x = 0
y = (3/4)*0 - 2 = -2
So we have the point (0, -2)
If x = 4 we get:
y = (3/4)*4 - 2 = 1
Then we have the point (4, 1).
Now we can graph these two points and connect them with a line, that is the graph of the linear equation.
The graph can be seen below.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
HELP ASAP MONEY & WAGES
Answer: Annual Gross Income = $55,489.20
Annual Net Income = $46,439.72
Step-by-step explanation:
Total hours worked per week = 3(10) + 5 + 11 = 46
Regular hours worked = 3(8) + 5 + 8 = 37
Overtime hours worked = 3(2) + 0 + 3 = 9
Weekly Tips at 20% of $60 for 46 hours:
0.2(60)(46) = $552.00
Annual tips = $552.00 x 52 weeks = $28,704.00
Weekly Regular pay at $10.20 per hour for 37 hours:
10.20(37) = $377.40
Annual regular pay = $377.40 x 52 weeks = $19,624.80
Weekly Overtime pay at time and a half for 9 hours:
10.20(1.5)(9) = $137.70
Annual overtime = $137.70 x 52 weeks = $7,160.40
Total Annual Gross Income = Tips + Regular Pay + Overtime
$28,704.00 + $19,624.80 + $7,160.40 = $55,489.20
****************************************************************************************
Deductions (per question 5):
a) Pension at 5% = $55,489.20(0.05) = $2,774.46
b) Employee Insurance at 2.4% = $55,489.20(0.024) = $1,331.74
c) Income Tax at 0% for $0-$11,000 = $11,000(0) = 0
Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120.00
Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000.00
Income Tax at 15% for $50,000-$100,000 = $5,489.2(0.15) =$823.38
Total Income Tax = $4,943.28
Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:
$55,489.20 - $2,774.46 - $1,331.74 - $4,943.28 = $46,439.72
The length of a garden is 2 feet more than its height. Write an equation for the area of the rectangles in terms of height, h. Area = ? sq. ft.
Answer:
h^2+2h
Step-by-step explanation:
Let h be the heigth of this garden
The length of this garden is 2 feet more than the heigth.
So the length can be expressed as h+2
The area of this triangle is the product of the heigth and the length.
A = h*(h+2)
A= h^2 +2h
A shipping container is in the shape of a cube and has a side length of 6ft. It can hold 4 smaller boxes of flour.
If the dimensions of the shipping container are tripled, what is the max number of smaller boxes of flour that the shipping box can hold
Answer:
c. 108
Step-by-step explanation:
Given
Shape of container: Cube
Initial dimension of the container = 6ft by 6ft by 6ft
Initial Number of boxes = 4
Required
Calculate the number of boxes when the dimension is tripled
The first step is to calculate the initial volume of the box;
[tex]Volume = Length * Length * Length[/tex]
[tex]Volume = 6ft * 6ft * 6ft[/tex]
[tex]Volume = 216ft^3[/tex]
This implies that the container can contain 4 small boxes when its volume is 216;
Represent this as a ratio;
[tex]4 : 216[/tex]
The next step is to calculate the volume when the dimension is tripled;
[tex]New\ Length = Old\ Length * 3[/tex]
[tex]New\ Length = 6ft* 3[/tex]
[tex]New\ Length = 18ft[/tex]
Hence;
[tex]Volume = 18ft * 18ft * 18ft[/tex]
[tex]Volume = 5832ft^3[/tex]
Let the number of boxes it can contain be represented with x
Similarly, represent this as a ratio
[tex]x : 5832[/tex]
Equate both ratios;
[tex]4 : 216 = x : 5832[/tex]
Convert ratios to fractions
[tex]\frac{4}{216} = \frac{x}{5832}[/tex]
Multiply both sides by 5832
[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]
[tex]5832 * \frac{4}{216} = x[/tex]
[tex]\frac{5832 *4}{216} = x[/tex]
[tex]\frac{23328}{216} = x[/tex]
[tex]108 = x[/tex]
[tex]x = 108[/tex]
Hence, the maximum number of boxes it can contain is 108