Equations -
[tex] - 6p = 48[/tex]
Divide -6p using inverse operations!
[tex]\frac{ - 6p}{ - 6} = p[/tex]
[tex] \frac{48}{ - 6} = - 8[/tex]
[tex]p = - 8[/tex]
[tex] - 8 \times - 6 = 48[/tex]
What is the slope of the line that passes through the points (1, 2) and (3, 12)?
Answer:
Slope is 5
Step-by-step explanation:
(1, 2) and (3, 12)
m= (y2-y1)/(x2-x1)
m= (12-2)/(3-1)
m= 10/2
m= 5
Write the number below as a fraction in its simplest form
0.569
Answer:
[tex] \binom{569}{1000} [/tex]
Step-by-step explanation:
Step 1:
[tex] \binom{0.569}{1} [/tex]
Step 2:
Then multiply both by 1000
[tex] \binom{569}{1000} [/tex]
It cant be simplifyed further so its in simplest form
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
5. The cost of a flower vase is Rs 120. If the shopkeeper sells it at a loss of 10%, find the price at
which it is sold.
an
Find the volume of the rectangular prism.
Answer:
Step-by-step explanation:
The volume of a rectangular prism is
V=xyz, where x,y,z are the three dimensions, in this case
V=10(4.5)6.25
V=281.25 ft^3
Jerry plans on saving money for a trip by putting $1 in a savings account the first month and then adding
enough to double the amount in the account each following month. Write a function to show how much money Jerry will have in his savings account s (t) after t months
9514 1404 393
Answer:
s(t) = 2^(t-1)
Step-by-step explanation:
The amount in the account is the sum of the series ...
1 + 1 +2 +4 +8 +16 +...
We note that terms after the first are a geometric sequence with a first term 1 and a common ratio 2. The sum of such a sequence is ...
Sn = a1×(r^n -1)/(r -1) . . . . where n is the number of terms being summed
For our values, this simplifies to ...
Sn = 1×(2^n -1)/(2 -1) = 2^n -1
We notice here that the account balance is 1 more than this sum, and that n = t-1, so the balance a(t) is ...
s(t) = 1 +(2^(t -1) -1)
s(t) = 2^(t -1) . . . . . . the function showing how much Jerry has
HELP HELP PLEASE!! D:
Determine the missing side length:
Please don't give cap!
Answer:
c = 35
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 21^{2} + 28^{2}[/tex]
[tex]c^{2} = 1225[/tex]
[tex]\sqrt{c^{2} } = \sqrt{1225}[/tex]
[tex]c = 35[/tex]
PLEASE HELP
What two numbers that add each other give you -7 but times it give you -120
Please help me with the question I asked I’m doing a text please.
Answer:
Wait, what question?? I can try to do it.
3. A line contains the points P (1,1) and Q (7,10) what is the slop of the line
Answer:
9/6 is the slope but that simplifies to 3/2
Step-by-step explanation:
y2-y1
x2-x1
10-1=9
7-1=6
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
The value of x is given from proportion and x = 9
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first polygon and second polygon be similar
So , the ratio of their corresponding sides will also be similar
Substituting the values in the equation , we get
( x -1 ) / 6 = 16 / 12 be equation (1)
On simplifying the equation , we get
Multiply by 6 on both sides of the equation , we get
( x - 1 ) = ( 16 x 6 ) / 12
( x - 1 ) = 16 / 2
On simplifying the equation , we get
x - 1 = 8
Adding 1 on both sides of the equation , we get
x = 9
And ,
( y + 1 ) / 21 = 32 / 24 be equation (2)
On simplifying the equation , we get
Multiply by 21 on both sides of the equation , we get
( y + 1 ) = ( 4 x 21 ) / 3
y + 1 = 4 x 7
y + 1 = 28
Subtracting 1 on both sides of the equation , we get
y = 27
Hence , the value of x is 9
To learn more about proportion click :
https://brainly.com/question/7096655
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Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
Step-by-step explanation:
Remark
The formula you use is (Electricity / Total Income ) * 100
The ratio becomes 53.7/1725 * 100%
The ratio is 53.7/1725 * 100 = 0.03113 * 100
The % = 0.03113 * 100 = 3.113
To the closest tenth that is 3.1%
This is it .. I’m confused please help
Answer:
Its C, think a e and c its angle is about 150 degree
s
I need help with these questions (see image). Please show workings.
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)please solve for x.
Answer:
127 degrees
Step-by-step explanation:
All the degrees in a pentagon need to equal 540. Add up the degrees known and then subtract from 540.
good luck!! <3
Veronica and Chad are walking down the street. Veronica walks at a speed of 5 miles per hour, and Chad walks at a speed of 4 miles per hour. Write an equation for the distance(d), in miles, each person walks over time(t), in hours. Do the equations represent linear functions?
Answer:
Veronica:
d=5t
Chad:
d=4t
Step-by-step explanation
yes they do represent linear equations
How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)
Answer:
Step-by-step explanation:
Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.
Answer:
It moves to the right 2
Step-by-step explanation:
:)
A home with an area of 2,200 square feet has 660 square feet of wood flooring. What percent of the home's flooring is wood
Answer:
30%
Step-by-step explanation:
Given data
Area of Home= 2,200 square feet
Area of wood flooring= 660 square feet
The percent of wood flooring in the house can be gotten as
=660/2200*100
=0.3*100
= 30%
Hence the wooden floor occupies 30%.
please help ASAP !!!!!
Answer:
I got you
Step-by-step explanation:
you just gotta get good kid :D
Write an equation in slope intercept form for the given line (-7,2) and (5,8)
PLEASE HELP ASP 10 MINUTES LEFT TILL THE DEADLINE
Answer: y= 0.5x + 5.5
Step-by-step explanation: Y = mx + C
SLOPE INTERCEPT FORM:
First we need to find the slope of the two points. Which is y2-y1 / x2-x1.
8 is Y2 and 2 is Y1. 5 is Y2 and -7 is Y1. Plug those numbers into a calculator and solve. The slope (m) is 1/2 or 0.5
Then we have to find C as the slope intercept form is Y = mx + C. To find C we replace x and y with one of the points, and solve as an algebric equation. C will be 5.5
The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS
Answer:
Step-by-step explanation:
SAS
Answer:
AAS
Step-by-step explanation:
3(x+2)^2+7 in standard form
Answer:-2x^2+3x-7=0
Step-by-step explanation:
Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?
Answer:
Thank to Goalscore24 correcting me, its actually Maria walking faster
Because 40 divided by 25 is 1.6
and 30 divided by 10 is 3
So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second
So Maria is faster.
(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Answer:
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Step-by-step explanation:
Solving (i):
[tex]3 (a + 5b) + a (a + 4)[/tex]
Open brackets
[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]
Collect like terms
[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
Solving (ii)
[tex]y (10 - y) + 3 (y - 2)[/tex]
Open bracket
[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]
Collect like terms
[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
Solving (iii)
[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]
Open bracket
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]
Collect like terms
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
Solving (iv)
[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]
Open bracket
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]
Collect like terms
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
Solving (v):
[tex]a (a - 2b) + b (b + 2a - c)[/tex]
Open bracket
[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]
Collect like terms
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
Solving (vi)
[tex]5 (x - y + z) + (4x + 3y)[/tex]
Open brackets
[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]
Collect like terms
[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
7a+5=61 what is a in the equation
Answer:
a=8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
7 * 8 = 56
56 + 5 = 61
Get as many people to answer this question will give brainiest for free!!!!
Answer:
huh?
Step-by-step explanation:
Factories:
[tex] {6x}^{2} + 4xy - 3x - 2y[/tex]
answer plzz with formula plzz
Answer:
[tex][tex] {6x}^{2} + 4xy - 3x - 2y[/tex][/tex]
6x²+4xy-3x-2y
2x(3x+2y)-1(3x+2y)
(3x+2y)(2x-1) is your answer
b.
Convert each rational number in the table to its decimal equivalent.
0
0
20
99
= 0.20
30
99
0.30
45
= 0.45
99
99
10
= 0.10
99
62
= 0.62
99
58
0.58
77
99
0.7
81
= 0.81
99
98
99
0.98
99
Do you see a pattern? Explain.
Can you find other rational numbers that follow similar patterns?
Answer:
0.39
Step-by-step explanation:
each one is below zero i guess
Given f(x)=2x^3+kx-9f(x)=2x 3 +kx−9, and the remainder when f(x) is divided by x−2 is 23, then what is the value of k?
Given:
The function is
[tex]f(x)=2x^3+kx-9[/tex]
The remainder when f(x) is divided by x−2 is 23.
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get
[tex]f(2)=23[/tex] ...(i)
Put x=2, to find the value of f(2).
[tex]f(2)=2(2)^3+k(2)-9[/tex]
[tex]f(2)=2(8)+2k-9[/tex]
[tex]f(2)=16+2k-9[/tex]
[tex]f(2)=2k+7[/tex] ...(ii)
Using (i) and (ii), we get
[tex]2k+7=23[/tex]
[tex]2k=23-7[/tex]
[tex]k=\dfrac{16}{2}[/tex]
[tex]k=8[/tex]
Therefore, the value of k is 8.
6a+5=5 what is a in the equation?
Answer:
a = 0
Step-by-step explanation:
Given
6a + 5 = 5 ( subtract 5 from both sides )
6a = 0 , then
a = 0