Answer:
pair 1: (0, - 24)
pair 2: (1, -12)
Step-by-step explanation:
y = 12x − 24
A pair of values that make the linear equation true:
the easiest value is always 0!!
if x = 0 than plug it in to find y
y = 12(0) − 24 → y = -24
so the pair is (0, - 24)
if x = 1 than plug it in to find y
y = 12(1) − 24 → y = 12 - 24
so the pair is (1, -12)
A toy factory manufactures d dolls every hour.Each dolls costs e cents.How much money will the factory spend in costs for manufacturing dolls in 7 hours and 30 minutes?
Answer:
in 7hours and 30 mn the cost will be (7.5×d×e) cents
Step-by-step explanation:
[tex]\begin{matrix}\text{Time} &1h&7.5h\\ \text{number of dolls} &d&7.5\\ \text{Cost} &d\times e&7.5\times d\times e\end{matrix}[/tex]
Justine bought a pair of boots for $76.68 and paid 13% sales tax. What was the price of these boots including tax?
Answer: $86.65
Step-by-step explanation:
First, find how much Justine paid in tax. To do this, first convert 13% to a decimal by dividing by 100. This gets a tax rate of 0.13. Now, multiply the price of the boots by the tax rate. 76.68*0.13 = 9.9684. Round to the nearest cent to get $9.97.
Now, add the amount paid in tax to the price of the boots. 76.68+9.97 = $86.65.
Simplify 5(xy+z)-2xy.
Answer:
3xy+5z
Step-by-step explanation:
5(xy+z)-2xy
=5xy+5z-2xy
3xy+5z
Please help. What is the area?
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²
What is the Area of a Composite Figure?Find the area of each shape that make up the figure, then add up to get the area of the composite figure.
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle
Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²
Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²
Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²
The area of the composite figure = 18 + 20 + 18 = 56 km²
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giving brainliest and alot of points! A projectile is launched at an angle (θ) of 36° and travels a distance of 375 feet; gravitational acceleration equals 32 ft/sec2. Calculate the initial velocity.
a
114 ft/sec
b
116 ft/sec
c
112 ft/sec
d
110 ft/sec
Answer:
(c) 112 ft/sec
Step-by-step explanation:
4 = 112.33 ft/sec = 112 ft/sec
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the lateral area the regular pyramid.
LA. =
Answer:
Lateral surface area = [tex]18\sqrt{91}[/tex] units²
= 171.71 units²
Step-by-step explanation:
Lateral area: total surface area excluding its base
Find the radius (circumradius) of the regular hexagonal base. Use this to find the slant edge of the pyramid, then use the slant edge to find the slant height and thus the area of each face.
Radius of a regular polygon: distance from its center to its vertices.
[tex]\textsf{Radius of a regular polygon}=\dfrac{s}{2 \sin \left(\dfrac{180^{\circ}}{n}\right)}[/tex]
where:
s = side lengthn = number of sidesGiven:
s = 6 unitsn = 6[tex]\implies \textsf{Radius}=\dfrac{6}{2 \sin \left(\dfrac{180^{\circ}}{6}\right)}=6\:\sf units[/tex]
Use Pythagoras' Theorem to find the slant edge:
[tex]\begin{aligned}\textsf{Slant edge} & =\sf \sqrt{r^2+h^2}\\& = \sqrt{6^2+8^2}\\ & = 10\:\sf units\end{aligned}[/tex]
Use Pythagoras' Theorem to find the slant height:
[tex]\begin{aligned}\textsf{Slant height} & = \sqrt{\textsf{slant edge}^2-\left(\dfrac{s}{2}\right)^2}\\& =\sqrt{10^2-3^2}\\ & =\sqrt{91}\: \sf units\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of one face} & = \dfrac{1}{2} \times s \times \textsf{slant height}\\\\ & = \dfrac{1}{2} \cdot 6 \cdot \sqrt{91}\\\\ & = 3\sqrt{91}\: \sf units^2\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Lateral Surface Area}& = 6 \times \textsf{area of one face}\\ & = 6 \cdot 3\sqrt{91}\\ & = 18\sqrt{91}\\ & =171.71\: \sf units^2\:(nearest\:hundredth)\end{aligned}[/tex]
Mrs. Peterson needs a piece of rug 28 dm wide and 38 dm long to put on the floor
Of her living room. What is the area of the rug that she needs?
Answer:
1,064dm^2
Step-by-step explanation:
The formula for Area
—> A = lw
Plug our units into the formula
A = 38(28)
A= 1064dm^2
PLEASE HELP ASAP
prove the identity:
sec x sin x
—————— =sin^2x
tan x+cot x
Options in pic
Answer:
See below
Step-by-step explanation:
[tex]\displaystyle \frac{\sec x\sin x}{\tan x+\cot x}\\\\=\frac{\frac{1}{\cos x} \sin x}{\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}}\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin x \sin x}{\cos x \sin x} + \frac{\cos x \cos x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin^2 x}{\cos x \sin x} + \frac{\cos^2 x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2 x+\cos^2 x}{\cos x \sin x} }\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{1}{\cos x \sin x} }[/tex]
[tex]=\frac{\sin x}{\cos x}\cdot \sin x \cos x\\ \\=\frac{\sin x \sin x \cos x}{\cos x}\\ \\=\sin^2x[/tex]
Thus, the identity is proven. Match the options up accordingly to my step-by-step process.
Find the measure of angle t
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]
➢Given two lines are intersecting lines➢ as it's clearly known when two or more lines meet each other at a specific points is said to be as intersecting lines nd they must be having a common point ➢Here angle t and angle 120⁰ forms adjacent anglesand sum sum of adjacent angles is 180⁰[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}[/tex]
[tex] \sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree[/tex]
[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}[/tex]
Hope it helps !
Look at the diagram. Which angle is supplementary to
Angle AOD
Angle AOB
Angle BOA
Angle AOE
Answer:
A supplementary angle plus another angle = 180 degrees
Angle AOB is the supplementary angle
A straight line = 180 degrees so,
So angle AOD + angle AOB = 180 degrees
Angle AOB is the supplementary angle.
Step-by-step explanation:
help me plsssssssssssssssssssss
Answer:
can i please have somepoints
Step-by-step explanation:
i need to get an answer to a question and if i don't i might fail a really hard test
Answer:
19/29 probability of bieng an only child
Step-by-step explanation:
URGENT AND IMPORTANT. WILL GIVE BRAINLIEST TO FASTEST CORRECT ANSWER. PLEASE ANSWER ASAP. PHOTO ATTACHED OF PROBLEM.
Answer:
A
B
C
and
D
Step-by-step explanation:
A
B
C
and
D
I need help plss. I’m getting frustrated!!
Answer: Irvin wrote the point at the wrong coordinate
Step-by-step explanation: Irvin wrote it at (3,4) instead of (4,3)
[should have gone right four, up three instead]
Answer:
The coordinates have been mixed up.
Step-by-step explanation:
The given coordinates were (4, 3) where 4 is the x-coordinate and 3 is the y-coordinate. Here, Irvin has taken the point (3, 4) where 3 is the x-coordinate and 4 is the y-coordinate. Hence, he mixed up the coordinates of the point.
Write an equation that represents the line.
Use exact numbers. please help and i cant get it wrong if ur answer isn’t right pls don’t put it fr
Answer:
y = (3/4)x-9/2
Step-by-step explanation:
We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have
[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]
A bag contains 6red balls,4 green balls,and3,blue balls if we choose a ball then another one what is the probability That the first ball will be green and the second ball be red
Total balls: 6 + 4 + 3 = 13
First pick green = total green / total balls = 4/13
adter picking the first ball there are 12 balls left.
Picking red = total red/ total balls left = 6/12 = 1/2
probability of picking both = 4/13 x 1/2 = 4/26 = 2/13
answer: 2/13
Cooking oil is sold 250ml packets. How much money would Joshua pay for 1litre of cooking oil,if the market price of 1/2litre is 1700
Answer:
3400
Step-by-step explanation:
1L=1000ml
½L=500ml price = 1700
2(500)=2(1700)
1000L= 3400
hence Joshua will pay R3400 for 1L of cooking oil
Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4.
Is this a reasonable answer?
A. Since - 5.3 rounds to -5 and 7.9 rounds to 7, the sum rounds to 2. Her answer of 2.4 rounds to 2. So, it is reasonable.
B. Since -5.3 rounds to -6 and 7.9 rounds to 7, the sum rounds to 1. Her answer of 2.4 rounds to 2. So, it is reasonable.
C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 2. So, it is not
reasonable.
D. Since -5.3 rounds to -5 and 7.9 rounds to 8, the sum rounds to 3. Her answer of 2.4 is not equal to 3. So, it is not
reasonable.
Answer:
D.
Step-by-step explanation:
-5.3 rounds up to -5
7.9 rounds up to 8
the sum of the two rounded is 3
her answer of 2.4 rounds to 2, not 3
so her answer is not reasonable
5b8c3
The degree of the monomial is?
Answer:
8
Step-by-step explanation:
The given monomial is :
5b⁸c³The degree of the monomial is the highest power to which a variable is raised to in the monomial. The greatest power in this case belongs to b⁸, which has a power of 8.
Hence, the degree of the monomial is 8
CREATE A NUMBER LINE THAT
1 7
RANGES FROM – TO —. THEN ADD
8 8
AS MANY OTHER FRACTIONS AS
YOU CAN IN BETWEEN
The fractions on the number line are 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
How to generate the number line?The range of the number line is given as:
Range = 1/8 to 7/8
Using an increment of 1/8, the fractions on the number line are:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
Next, we plot the number line where the above fractions are placed on the number line
See attachment for the required number line.
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If you get $10 starting May 21 2022 for every 8 days till October 1. How Much money will you have?
Answer:
$160
Step-by-step explanation:
the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.
[tex]133/8=16.625[/tex]
[tex]\approx16[/tex]
multiply 16 by $10 to get $160
This is about to be due in 10 mins.
Find the area:
The area of the composite figure in the given diagram is calculated as: 152 square inches.
What is the Area of a Composite Figure?The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.
The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw
The area of the figure = (20)(6) + (8)(4)
The area of the figure = 152 in.²
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Given the sequence defined by $a_n = 48 - 3n$, find all possible values of $k$ so that \[a_1 + a_2 + a_3 + \cdots + a_k = 330.\]
Answer:
k = 11 or 20
Step-by-step explanation:
The sum of terms of an arithmetic sequence is given by ...
Sn = (a1 +an)(n/2)
We want to find the value of n for a particular series to have a particular sum.
__
parametersThe series of interest is defined by ...
an = 48 -3n
so, the first term is ...
a1 = 48 -3(1) = 45
The k-th term is ...
ak = 48 -3k
__
sumThen the sum is ...
Sk = (45 +(48 -3k))(k/2)
We want this value to be 330, so we have ...
330 = (93 -3k)(k/2)
__
solution220 = (31 -k)k . . . . . . . . multiply by 2/3
k² -31k +220 = 0 . . . . . in standard form
We want factors of 220 that total 31.
220 = (1)(220) = (2)(110) = (4)(55) = (5)(44) = (10)(22) = (11)(20)
The last of these pairs totals 31, so we have ...
(k -11)(k -20) = 0 . . . . . factored form of the equation
k = 11 or k = 20 . . . . . values of k that make the factors zero
Possible values of k are 11 and 20.
In his first week at college, Anthony spent $17 on entertainment, $33 on food, and $23 on gas. If there are 11 weeks in the semester, estimate the total amount of money Anthony will spend on these things throughout the semester.
Answer:
$803
Step-by-step explanation:
17 + 33 + 23 = 73
73 * 11 = 803
Element X is a radioactive isotope such that its mass decreases by 62% every year. If an experiment starts out with 650 grams of Element X, write a function to represent the mass of the sample after
t
t years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent.
Use the general formula for decay substance
[tex]\\ \rm\Rrightarrow N=N_o(1-r)^t[/tex]
r is rate of decay. t is timeFor our equation r=62%=0.62
So
function becomes
[tex]\\ \rm\Rrightarrow N=650(1-0.62)^t[/tex]
[tex]\\ \rm\Rrightarrow N=650(0.38)^t[/tex]
Change for a year
[tex]\\ \rm\Rrightarrow N=650(0.38)[/tex]
[tex]\\ \rm\Rrightarrow N=247g[/tex]
Amount decayed=650-247=403g
Daily decay
403/3651.1gPercentage decay
[tex]\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100[/tex]
[tex]\\ \rm\Rrightarrow 0.169[/tex]
[tex]\\ \rm\Rrightarrow 16.9\%[/tex]
Hey everyone
This' just a random math question
[tex]x + 5 - \cfrac{1}{3} = 12[/tex]
Answer:
The value of x = 22/3
Step-by-step explanation:
x + 5 - 1/3 = 12
=> x+5 = 12 + 1/3
=> x + 5 = (36 + 1) /3
=> x + 5 = 37 /3
=> (x+5) 3 = 37
=> 3x + 15 = 37
=> 3x = 37 -15
=> 3x = 22
=> x = 22/3
Answer to your question is given in the attachment
Hope this Helps :)
Question: Add the decimals
591.79+528.192 =
312.7+2.566 =
235.977+61.889
Answer:
1. 1119.982
2. 315.266
3. 297.866
Answer:
1. 1119.982
2. 315.266
3. 297.866
PLEASE HELP 10 POINTS!!
Answer:
I think its c but not really sure but ill calculate it if I ever had the chance
please help me i’ll give you brainlist
Answer:
f(x ) ----> Output
x -----> Input
-5 -------> Slope
2 --------> y -intercept
Step-by-step explanation:
f(x) = -5x + 2
Compare this with y = mx + b
m = slope = co efficient of x
b = y-intercept = constant term
f(x ) ----> Output
x -----> Input
-5 -------> Slope
2 --------> y -intercept
number 21 please and thank you
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
sin =opposite/hypotenuse
sinQ=5/6
NO LINKS!! Please help me with this problem
Answer:
Mix A is 2 unitsMix B is 1 unitMix C is 3 unitsStep-by-step explanation:
Let amount of Mix A is a, Mix B is b, Mix C is c.
With the given details, we get the following system
5a + 6b + 4c = 284a + 2b + c = 133a + 4b + 4c = 22Find the value of c (the easiest one) for substitution
c = 13 - 4a - bSubstitute c into the first equation
5a + 6b + 4(13 - 4a - 2b) = 285a + 6b + 52 - 16a - 8b = 28- 11a - 2b = 28 - 5211a + 2b = 24 (5)Substitute c into the third equation
3a + 4b + 4(13 - 4a - 2b) = 223a + 4b + 52 - 16a - 8b = 22- 13a - 4b = 22 - 5213a + 4b = 30 (6)Double the equation (5) and subtract (6), find the value of a
2(11a + 2b) - 13a - 4b = 2(24) - 3022a - 13a = 48 - 309a = 18a = 2Find b
11*2 + 2b = 2422 + 2b = 242b = 2b = 1Now find c
c = 13 - 4*2 - 2*1 c = 13 - 8 - 2c = 3