To find the slope:
⇒ must know the slope's formula
⇒ [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
⇒ [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] are any points on the line
⇒ we use (-1,2) and (0,5) since they are the only points that we
know that are on the line
[tex](x_{1} ,y_{1} )[/tex]: (-1,2)[tex](x_{2} ,y_{2}[/tex]): (0,5)Let's solve:
[tex]Slope = \frac{5-2}{0--1} =\frac{3}{1}[/tex]
Slope is 3
Hope that helps!
Dora is making invitations for her party. Dora needs to make invitations for 54 of her friends. On Friday you helped her make 1/2 of the invitations. How many did you make?
Answer:
[tex] \frac{1}{2} of \: the \: invitations = \frac{1}{2} \times 54 \\ = 27invitations[/tex]
you made 27 of the invitations
Hello! How to sketch the graph?
Answer:
Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line
help me ??????? please
Answer:
58%
Step-by-step explanation:
vertical angles are always the same
7/6 x 4/5 = in simplest form
Answer:
heyy do you still need help
Step-by-step explanation:
What is the value of D?
5/6 = 1/3 + D
Answer:
1/3=2/6 d is 2/6
Step-by-step explanation:
The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20
Answer:
y=12
Step-by-step explanation:
y=k*x
3=5*k
k=3/5
y= (3/5)*x
y=(3/5)*20
y=12
Prove that AABE = ADCE, given that AE = DE, BE CE, with the same vertex measure ZE.
Answer:
I don't understand the question
Expand and simplify (4x−3y)(6x−5y).
Answer:
24x^2+15y^2-38xy
Step-by-step explanation:
(4x-3y)(6x-5y)
= 24x^2-20xy-18xy+15y^2
=24x^2+15y^2-38xy
What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16
Answer:
16
Step-by-step explanation:
2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.
Step-by-step explanation: How many solutions does the system of equations below have?
y=
–4
9
−
4
5
y=
–4
9
−
4
5
Answer:
3
Step-by-step explanation:
I need this answered please
Answer:
domain: ( 3,6,6)
range : (b,a,d)
Charles begins finding the volume of a trapezoidal prism using the formula a = one-half(b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x a trapezoidal prism is shown. the bases of the trapezoid have lengths of x 2 and x 4. the height of the trapezoid is x. the height of the prism is 2 x. which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2
The volume of the trapezoidal prism having side lengths x, (x+2), (x+4) and height of 2x is 2x³+6x² option first is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the trapezoidal prism can be given:
[tex]\rm V=\frac{1}{2} (a+b)\times h \times L[/tex]
Where V = The volume of the trapezoidal prism:
Length of the trapezoid L = x
Top width a = (x+2)
Base width b = (x+4)
Height of the trapezoidal prism h = 2x
[tex]\rm V=\frac{1}{2} (x+2+x+4)\times 2x \times x[/tex]
[tex]\rm V=\frac{1}{2} (2x+6)2x^2\\\\\rm V= (2x+6)x^2\\\\\rm V= (2x^3+6x^2)[/tex]
Thus, the volume of the trapezoidal prism is [tex]\rm (2x^3+6x^2)[/tex]
Learn more about the volume here:
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Answer:
A.
Step-by-step explanation:
right on edge
Which of the following expresses a potential difficulty with preference ballots?
Preference ballots only list one candidate per elected position.
Preference ballots are seldom used and difficult to produce.
The results of preference ballots can be time-consuming to compile.
It is easy to commit voter fraud by falsifying preference ballots.
The results of preference ballots can be time-consuming to compile
The potential difficulty with preference ballots expressed in the given options is: The results of preference ballots can be time-consuming to compile.
What is preference ballot?A preference ballot is a type of ballot used in elections where voters indicate their order of preference for the candidates or options listed on the ballot.
Instead of simply selecting one option, voters rank the options in order of their preference, usually by indicating a first-choice, second-choice, and so on.
Preference ballots require more complex calculations to determine the winner, especially when there are more than two candidates. This can result in delays in announcing the results and can be time-consuming to compile.
Thus, this can result in delays in announcing the results and can be time-consuming to compile.
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Karly borrowed $6,200 from her parents for 4 years at an annual simple interest rate of 2.8%. How much interest will she pay if she pays the entire loan at the end of the fourth year?
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
$724.11
Step-by-step explanation:
This requires the use of the growth formula.
Growth Formula:
[tex]y = a*(1+r)^x[/tex]
y = total/answer
a = starting value
r = rate (1.25 = 25%)
x = the amount of time (years/months)
Equation:
[tex]y = 6200 * (1+0.028)^4[/tex]
Solving:
y = $6924.11
$6924.11 - $6200 = total interest
$724.11
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$6200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (6200)(0.028)(4)\implies I=694.4[/tex]
y = 3x + 1 -x + 2y = -3 solve system of equation by elimination
Tom has 5 green cubes for every 3 yellow cubes. He has 16 cubes in total. Draw a diagram to represent please help me
10 green cubes and 6 yellow cubes
hope it helps...!!!
Equation 1
y = 5x + 32
Equation 2
4y = 28x + 184
First solve for X.
help meeeeeeeeeeeeeee!!!!!!! NO LINKS OR FILLES
Answer:
i think four but im prolly wrong
Step-by-step explanation:
What is the radius and diameter of the following circle?
14 cm
Answer:
Diameter : 14 cm
14÷2=7
Radius : 7
Step-by-step explanation:
Diameter is two time the Radius
i dont understand this one
Answer:
C = 14[tex]\pi[/tex], A = 49[tex]\pi \\[/tex].
Step-by-step explanation:
C = Circumference, A = Area
So, the Circumference is 14[tex]\pi[/tex] and the area is 49[tex]\pi \\[/tex].
Hope this helps :)
Find the surface area of the figure.
Answer:
[tex] {108in}^{2} [/tex]
Step-by-step explanation:
to get the surface area of a pyramid you must take half of the product of the perimeter times the slant length and THEN add the area of the base to the total.
In this problem, the perimeter is 24. Slant height is 6, and area of the base is 36
1/2(24*6)+36= 108
If this answer helped you, I would appreciate it if you gave me the brainliest :D
8) What is the volume of the triangular prism?
A) 15 mm
B) 18 mm
C) 24 mm
D) 30 mm
D) 30 mm
should be it!! GL:)
there were 150 people in a parade last year. This year there are 20 people in the parade. What is the percent change of people in the parade from last year to this year?
Answer:
7.5
Step-by-step explanation:
What is 100 x 96 x 44?
Answer:
Step-by-step explanation:
100×96×44=100×(100-4)×44
=100×[100×44-4×44]
=100×[4400-176]
=100×4224
=422400
Answer:
422400
Step-by-step explanation:
100
x96
-------
9600
x44
----------
38400
+384000
----------------
422400
This is a recipe that makes 30 chocolate chip cookies:
- 150g butter
- 160g sugar
- 225g plain flour
- 1 large egg
- 12 teaspoon bicarbonate of soda
- 200g chocolate chips
Miss Watson wants to make 25 cookies for her class.
How much plain flour will she need?
Step-by-step explanation:
30: 225 = 25: X
30/225= 25/X
30×X = 225×25
30X = 5625
X = 187.5
X/3+7=12
Help :)
I need to write more to send it so…
Answer:
15
Step-by-step explanation:
To solve you have to get x by itself on one side.
x/3+7=12
First, you move the seven over.
x/3+7-7=12-7
Simplify.
x/3=5
Now to get x by itself you can multiply both sides by 3.
x/3*3=5*3
Simplify.
x=15
Answer:
x = 15
Step-by-step explanation:
x/3 + 3⋅7/3 = 12
x+3⋅7/3=12
x+21/3
X=15
The answer is C, but I don't understand why- can anyone tell me?
Answer:
It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.
Hope this helped and wasn't too confusing
15 days ago, the share of the Valmont family business was worth $156. Over the next 5 days, the stock value increased by $3 per day. Then its value went down by $5 a day for 10 days.
What is the value of the stock today?
Using Order of Operation
please answer i need it today :'(
Answer:
compute the company's price-to-earnings (P/E) ratio.
Step-by-step explanation:
When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,
A, B and C are points on the line 2x+y=8
DCE is a straight line.
AB:BC=2:1
EC:DC=1:2
Work out the ratio Area of triangle AEC : Area of triangle BCD
Give your answer in its simplest form.
The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have line;
2x+y=8
x/4 + y/8 = 1
Coordinate for A(4, 0) and B(0, 8)
To find the coordinate C we will use external section formula:
Let (a, c) be a coordinate for C
AB : BC = 2:1
AC:BC = 3:1
[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]
C(a, b) = (-2, 12)
Let coordinate for E(0, e) and for D(f, 0)
EC:DC=1:2 and C(-2, 12)
So after applying section formula, we will get:
E(0, -3) and D(0, 36)
Area of triangle AEC = (1/2)(7)(12) = 42 square units
Area of triangle BCD = (1/2)(28)(2) = 28 square units
ratio of area of triangle AEC : area of triangle BCD = 42:28
= 21:14
Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
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There are a total of 165 dogs and cats waiting for homes at the Grand Strand Humane Society. The number of cats is 24 less than twice the number of dogs.
Part A: Identify both variables you are using, then write equations to represent both situations
Part B: How many dogs and cats are waiting to be adopted in the shelter? You must show work. Write your answer in the form of a sentence
Answer:
Part A
Let d = number of dogs
Let c = number of cats
Given:
total of 165 dogs and cats⇒ d + c = 165
Given:
The number of cats is 24 less than twice the number of dogs⇒ c = 2d - 24
Part B
Substitute c = 2d - 24 into d + c = 165 and solve for d:
⇒ d + 2d - 24 = 165
⇒ 3d - 24 = 165
⇒ 3d = 189
⇒ d = 63
Substitute found value of d into d + c = 165 and solve for c:
⇒ 63 + c = 165
⇒ c = 102
Therefore, 63 dogs and 102 cats are adopted in the shelter.
