Answer:
The equation is 39=3r-6
Step-by-step explanation:
Let x = # of years from the start of the Great Depression to the first Presidential election of Nixon
Let r = Raul's age
The question gives us what x equals so...
x=39
Now we just turn the sentence into an equation.
"The number of years from the start of the Great Depression to the first Presidential election of Nixon [(x)] is six years less than three times Raul's age [(3r-6)]"
Remove the icky words...
x=3r-6
replace x with what it equals (39)
39=3r-6
Now you can go on to olve it
Overal Raul is only 15 :)
Work out the area of a rectangle with base,b= 32mm and perimeter,P= 78mm.
Answer:
224
Step-by-step explanation:
b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer
Can u help me with this please it’s due in 5 mins. Find value of x.
Answer:
x = 35°
Step-by-step explanation:
Co-interior angles add up to 180°, so:
2x + 43 + 2x - 3 = 180° (now, simplify)
4x + 40 = 180° (subtract 40 from both sides)
4x = 140° (divide both sides by 4)
x = 35°
Hope this helps!
Answer:
x=35
Step-by-step explanation:
given: two lines cut by a transversal to find x
solution: the given two angles are supplementary since they are consecutive interior angles.
(2x+43)+(2x-3)=180°
⇒ 4x+40=180°⇒4x=140°
⇒x=[tex]\frac{140}{4}[/tex]=35
hope this helps :)
work out the surface area of this cylinder
8cm diameter
16.8cm height
An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?
this is the full answer for you're Q
please give me good
The time taken by the object to hit the ground will be 9 seconds.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t²+ 9.8t + 308.7
To find the time taken put the function equal to zero.
−4.9t²+ 9.8t + 308.7 = 0
t² - 2t - 63 = 0
t² - 9t + 7t - 63 = 0
t ( t - 9 ) +7 ( t - 9 ) = 0
( t - 9 ) ( t + 7 ) = 0
t = 9 and -7(ignore)
t = 9 seconds
Therefore, the time taken by the object to hit the ground will be 9 seconds.
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Directions: Convert the equations from standard form to slope intercept form.
Answer:
Write in slope-intercept form, [tex]y=mx+b[/tex].
5. [tex]y=2x+7[/tex]
6. [tex]y=-\frac{5}{3} x+4[/tex]
7. [tex]y=x-1[/tex]
8. [tex]y=\frac{1}{3}x +5[/tex]
9. [tex]y=\frac{4}{5}x -2[/tex]
10. [tex]y=-\frac{7}{3}x + 6[/tex]
Solving Equations with the Variable on Each Side
Justify each step.
a.
b.
1. 4k-3=2k + 5
4k-3-2k= 2k +5 - 2k
2k-3 = 5
2k-3+3=5+3
2k=8
2k_8
2 2
k=4
C.
d.
e.
f.
Answer:
See below
Step-by-step explanation:
4k - 3 = 2k + 5 Given
4k - 3 -2k = 2k + 5 - 2k Addition (added -2k to both sides )
4k - 2k - 3 = 2k - 2k + 5 Commutative (changed the order of the terms)
2k - 3 = 0 + 5 Addition/ Identity
2k - 3 = 5 Addition
2k - 3 + 3 = 5 + 3 Addition (added 3 to both sides)
2k + 0 = 8 Addition
2k = 8 Identity
The volume of this cone is 540π. Work out the height,h, of the cone, radius=9cm
Answer:
h = 20
Step-by-step explanation:
540π = 1/3 . h . π . 9^2
get rid of π
540 = 1/3 . h . 9^2
multiply by 3 to get rid of 1/3
3 . 540 = h . 9^2
1620 = h . 81
divide by 81
1620/81 = h
20 = h
Hope that helps :)
-9 ÷ 7.2 as a decimal
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?
Answer:
Emma is not correct. The correct ratio is 7:8.
Step-by-step explanation:
The ratio of boys to girls is 35:40, and if you simplify this you do not get 3:4 but 7:8.
Hope this helps!
An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.
The function C(t) = 87t +32 represents the total cost, C, of getting an oil change and purchasing t, tires.
What does the number 87 represent in the function?
A The slope and the cost per tire purchased.
B The slope and the fee for an oil change.
The y-intercept and the cost per tire purchased.
The y-intercept and the fee for an oil change.
The cost per unit of the auto shop function is the slope of the function
87 represents the slope and the cost per tire purchased
The function is given as:
[tex]\mathbf{C(t) = 87t + 32}[/tex]
A linear function is represented as:
[tex]\mathbf{C(t) = mt + b}[/tex]
Where:
m represents the slope or the unit rate.
So, by comparison:
[tex]\mathbf{m = 87}[/tex]
This means that 87 represents the slope and the cost per tire purchased
Read more about slopes at:
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find the measure of the indicated angle
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
Select from the drop-down menus to correctly complete the statements about simplifying an expression with grouping symbols. When an expression has more than one set of grouping symbols, simplify within the Choose... grouping symbols first. The Choose... symbol can also be a grouping symbol. Simplify the Choose... separately. Choose... follow the order of operations within a set of grouping symbols.
Answer:
nuber 1 is sum 2 is quotient 3 is produckproduct
Step-by-step explanation:
number 1 is sum, 2 is quotient , 3 is product.
What is set?A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
here, we have,
an expression with grouping symbols.
When an expression has more than one set of grouping symbols,
So, the answer is,
number 1 is sum, 2 is quotient , 3 is product.
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Please someone brilliant answer this!!!
Eighteen plumbers can install 540 water lines in six weeks. How long will it take twelve plumbers to install the same number of lines?
It will take twelve (12) plumbers 9 weeks to install the same number of lines
From the question,
We have that, 18 plumbers can install 540 water lines in 6 weeks,
To determine how long it will take 12 plumbers to install the same number of lines,
First, we will determine how long it will take 1 plumber.
If 18 plumbers can install 540 water lines in 6 weeks
Then,
1 plumber will install 540 water lines in 18 × 6 weeks
18 × 6 weeks = 108 weeks
∴ It will take 1 plumber 108 weeks to install 540 water lines
Now, for the number of weeks it will take 12 plumbers
If 1 plumber can install 540 water lines in 108 weeks
Then,
12 plumbers will install 540 water lines in [tex]\frac{108}{12}[/tex] weeks
[tex]\frac{108}{12} = 9 \ weeks[/tex]
Hence, it will take twelve (12) plumbers 9 weeks to install the same number of lines
Learn more here: https://brainly.com/question/18880656
1. Find the product of 4 X 2 X 3 two different ways.
Answer:
6 x 4
8 x 3
The product: 24
Hope This Helps! •v•
Step-by-step explanation:
Answer:
6 x 4
8 x 3
The product: 24 K12 is how i know thx bye! :D
describe rule for pattern 10, 30, 90, …
Answer:
it go by 20 then 30
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Each term is 3 times the previous term, that is
30 = 10 × 3 = 30
90 = 30 × 3 = 90
There is a common ratio between consecutive terms meaning the sequence is geometric.
what’s the mean of 8.3 9.1 8.1 8.7
Answer:
i don't know do you know
Step-by-step explanation:
Solve the equation. ( − 6 ) ( − 2 ) ( − 1 ) =
Answer:
-12
Step-by-step explanation:
what is the recurring decimal of 0.68
Answer:
0.68 repeating as a fraction
0.68 repeating as a fraction
What is the slope of the line on the graph?
Enter your answer in the box.
Please help me!
Answer:
6
Step-by-step explanation:
We can use the points on the line to find the slope
(0,-1) and (1,5)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= (5 - -1)/(1-0)
= (5+1)/(1-0)
= 6/1
= 6
Answer:
m = 6 units
Step-by-step explanation:
To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right
slope = rise /run = 6/ 1 = 6
[(3x-2)(x+6)]-[(x-1)(2x)]=103 steps
Let's solve your equation step-by-step.
(3x−2)(x+6)−(x−1)(2x)=103
Step 1: Simplify both sides of the equation.
x2+18x−12=103
Step 2: Subtract 103 from both sides.
x2+18x−12−103=103−103
x2+18x−115=0
Step 3: Factor left side of equation.
(x−5)(x+23)=0
Step 4: Set factors equal to 0.
x−5=0 or x+23=0
x=5 or x=−23
Answer:
x=5 or x=−23
The sum of two consecutive odd numbers is 1408. What are the numbers?
Put the smaller number first comma then the larger number.
Answer:
703,705
Step-by-step explanation:
divide 1408 by 2
add one for one number
subtract one for the other
GIVING BRAINLIST!!! SHORT QUESTION PLS ANSWER
Answer:
Terms:4x, -2x
Coefficients:4, 2
Constant:3
Estimate the sum using front end estimation.
546+ 412
A) 900
OB) 950
OC) 960
OD) 1000
Answer:546 +412 Is 958
Step-by-step explanation:
Here's a question ~
Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~
note : there are two possible slopes !
Need Proper Explanation ~
Answer:
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Step-by-step explanation:
It is given that –
Slope of the first line is–
[tex]\sf\longmapsto \: m_{1} = 2[/tex]
Let,
the slope of the Another line be –
[tex]\sf\longmapsto \: m _{2}[/tex]
Now,
The angle between the two lines is 60°.
Let's start solving!
[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]
[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]
[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]
[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]
[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]
The equation of line passing through point (2,3) and having a slope of –
[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]
is–
[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]
[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Hence the equation of the other line is -
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Can someone pls help me :(( tysm if u do and i have 7 khan academy’s and there only 4 questions on each on can someone pls help me on them there all due by 12 tn and i dont know who else to ask for help tysm if u do:c
Answer:
-8
Step-by-step explanation:
I’ll substitute x for the blank space:
-2 = x + 6
-2 - 6 = x
x = -8
-8 + 6 = -2 ✅
(−m
2
+6)+(−4m
2
+7m+2)
Following are calculation to the given eqution:
Given:
[tex]\bold{(-m^2+6)+(-4m^2+7m+2)}[/tex]
To find:
Solve the equation.
Solution:
[tex]\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\[/tex]
Therefore, the final solution is "[tex]-1(5 m^2-7m-8)[/tex]".
Learn more:
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Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Please I need help the question is angle sum theorem
Answer:
x=80, y=55
Step-by-step explanation:
x is on a line so 180-100=80
x= 80
angles of a triangle are 180 so 180-45-80=55
y=55
Giving brainlyest .... .....
Answer:
4.475 is the answer.
Step-by-step explanation:
also hide your tabs just in case ;)
Answer:
4.475 believe me i did k12 before plz give me brainlyiest explanation:
Which table was created using the equation y=5x-4