[tex] - 7(6m + 2) = - 308 \\ ➪ \: - 42m - 14 = - 308 \\ ➪ \: - 42m \: = - 308 + 14 \\ ➪ \: m = \frac{ - 294}{ - 42} \\ ➪ \: m \: = 7[/tex]
To verify:-[tex] - 7(6 \times 7 + 2) = - 308 \\ ➵ - \: 7(42 + 2) = - 308 \\ ➵ \: - 7 \times 44 = - 308 \\ ➵ \: - 308 = - 308[/tex]
➵ L. H. S. = R. H. S.
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Please help i need the answer done step by step
Answer:
x = 40
Step-by-step explanation:
So a triangle is 180 degrees
and thats a right triangle = 90 degrees
you have three corners: 90, 50 & x
90 + 50 + x = 180
140 + x = 180
subtract 140 from both sides
x = 40
hope this helps
like this up !
Answer:
40 is the asnwer
Step-by-step explanation:
1. Well, first of all we know that all right angles add up to 180 degrees. The degrees shown in the picture are 50, and 90. You can’t see the 90 exactly, but you can tell by that little square, that’s how it shows us!
2. Second step, we add up 60 and 90 which is 140. We got that, now we can subtract this 140 to the 180 to get our answer!
3. 180 – 140 is equal to 40!
4. Therefore, the 3rd angle is 40!
5. Not confident with my ansawer? Proof time!
6. 40 + 50 + 90 = 180
7. Since this all adds up to 180, it is true!
Have a great day!
At which approximate x-value are these two equations equal
y = √1 - x^2
y = 2x - 1
9514 1404 393
Answer:
x = 0.8
Step-by-step explanation:
If you mean y = √(1 -x²), then the curves cross at x=0.8.
__
If you equate the y-expressions, then square both sides, you have ...
√(1-x²) = 2x-1
1 - x² = (2x -1)² = 4x² -4x +1
0 = 5x² -4x . . . . . subtract the left-side expression
x(5x -4) = 0 ⇒ x = 0, or x = 4/5
The x=0 solution is extraneous.
The two equations are equal at x = 4/5.
Need help with using the graph to find the numbers
Assignment is about evaluating composition of functions from graphs anything helps
Answer:
f(2) = -3
g(-3) = -5
Step-by-step explanation:
----------------------
The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made at the end of each quarter with interest at 6% compounded quarterly.
Answer:
$38,562.5
Step-by-step explanation
Using the compound interest formula
A = P(1+r/n)^nt
P is the principal = $125,000
r is the rate = 6% = 0.06
time t = 5years
n = 0.25 (quarterly payment)
Substitute
A = 125000(1+0.06/0.25)^5(0.25)
A = 125000(1+ 0.24)^1.25
A = 125000(1.24)^1.25
A = 125000(1.3085)
A = 163,562.5
Hence the interest earned = 163,562.5 - 125000
interest earned = $38,562.5
Please help this is due at 11/00 pm
Answer and Step-by-step explanation:
Each unit is equal to each other, and we know that both allowances together equates to 72, so if we divide the amount of units that there are, we can determine the amount per month.
There are 8 units in total.
72 divided by 8 = 9
Now, we do 9 times the amount each person has.
You = 5 * 9 = 45
Friend = 3 * 9 = 27
#teamtrees #PAW (Plant And Water)
What would you do to solve the system?
System of equations
Click on the correct answer.
12x = 48 - 8y
10x + 8y = 38
?
Add the equations.
12x = 48 - 8y
10x = 38 - By
Subtract the equations.
3. To decide whether to add or subtract,
determine if the values of the
coefficients are the same or opposites:
. If the values are the same, subtract the
equations.
• If the values are opposites or additive
inverses, add the equations.
Remember, you're trying to remove one
variable.
Answer:
To decide whether to add or subtract, determine if the values of the coefficients are the same or opposites:
. If the values are the same, subtract the equations.
• If the values are opposites or additive inverses, add the equations.
Step-by-step explanation:
Given
[tex]12x = 48 - 8y[/tex]
[tex]10x + 8y = 38[/tex]
Required
How to solve
Options (1) and (2) are incorrect because none of the options eliminate x or y.
For option (3),
- Check for the coefficients of x and y
- If they are the same (sign and value), then subtract; otherwise add
For instance:
[tex]12x = 48 - 8y[/tex]
[tex]10x + 8y = 38[/tex]
Rewrite the second equation
[tex]12x = 48 - 8y[/tex]
[tex]10x = 38 - 8y[/tex]
The coefficient of y are the same, so we subtract;
[tex]12x - 10x = 48 - 38 -8y -(-8y)[/tex]
[tex]12x - 10x = 48 - 38 -8y +8y[/tex]
[tex]2x = 10[/tex]
[tex]x= 5[/tex]
See that y has been eliminated
Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *
Step-by-step explanation:
Given :-
Centre = (-13,-2) Diameter = 24And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .
Standard equation of circle :-
[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]
Where (h,k) is centre and r is radius.[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]
help lol -30=5(x+1) x= ?
1.Distribute
-30=5(x+1). x
[tex]-30=5x^{2}+5x[/tex]
2. Move terms to the left side
[tex]-30=5x^{2} +5x[/tex]
[tex]-30-(5x^{2} +5x)=0[/tex]
3. Rearrange terms
[tex]-30-5x^{2} -5x=0[/tex]
[tex]-5x^{2} -5x-30=0[/tex]
Hope this helps! Sorry if I'm wrong
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]
[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]
[tex]\large\text{TURN the EQUATION}[/tex]
[tex]\large\textsf{5(x + 1) = -30}[/tex]
[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]
[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]
[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]
[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]
[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]
[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]
[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]
[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]
[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]
[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]
[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]
[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]
[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
solve this inequality 2(4x+1)<3(2x-3)
Answer:
x<-11/2
Step-by-step explanation:
but don't trust me too much bestie
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Sarah and all of her siblings have brown hair. She concludes that if her parents have another child, he or she will have brown hair. Is this an example of inductive or deductive reasoning?
a) Deductive.
b) Inductive.
c) Both deductive and inductive.
d) Neither deductive nor inductive.
Answer:
b) Inductive
Step-by-step explanation:
It is correct to say that this is an example of inductive reasoning, because the reasoning is based on a situational perception and not on actual logic. Sarah based her reasoning on a premise that if she and her brothers have brown hair, then if she had another brother, he would also have brown hair.
help me pls I'll give you briliantest if you give me the right answer and no links
Answer:
8
Step-by-step explanation:
your welcome hope this helps :)
find the surface area of the composite figure
Answer:
791.7 in.²
Step-by-step explanation:
Surface area of the composite figure = ½(surface area of sphere) + surface area of cylinder
= ½(4πr²) + (2πr(h + r)
Where,
r = ½(12) = 6 in.
h = 9 in.
SA = ½(4*π*6²) + (2*π*6(9 + 6)
SA = ½(452.39) + 565.49
SA = 791.685
SA = 791.7 in.² (nearest tenth)
66,66,70,88.........?,236
Answer:
I am so confused I don't know how to answer this.
What is 17% of 13.00
Answer:
The answer is 2.21
Step-by-step explanation:
Answer:
2.21
Step-by-step explanation:
13(.17)
URGENT HELPP!!!NO LINKS
Answer:
25 I believe
Step-by-step explanation:
think has 5 letters
only using it once ofc
5×5= 25
Please hel p me. !!!!!!! I need the median.
In ascending order,
36, 43, 50, 51, 58, 59, 60, 69, 73
N=9
median (Q2)= N+1/2
or, Q2= 9+1/2
or, Q2= 10/2
= 5th item
Therefore, the median is 58.
I don't know if this is correct or not.
Find the surface area of the sphere.
r = 3 cm
Formulas for Spheres
S.A. = 4tr2
V = grur S.A. = [?] cm2
Round to the nearest tenth.
The surface area of the sphere is 113 square cm
How to determine the surface area?The radius is given as:
r = 3 cm
The surface area is calculated as:
[tex]A = 4\pi r^2[/tex]
So, we have:
[tex]A = 4\pi * 3^2[/tex]
Evaluate the product
A = 113
Hence, the surface area of the sphere is 113 square cm
Read more about surface area at:
https://brainly.com/question/2835293
#SPJ1
Answer: 113
Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113
Decrease £2123 by 8%
Give your answer rounded to 2 DP
The Decreased amount of £2123 by 8% is approximately; £1953.16
How to find percentage decrease a value?We want to decrease £2123 by 8%.
We can do this by the following formula;
Decreased amount = 2123 * (100% - 8%)
Decreased amount = 2123 * 92%
Decreased amount = £1953.16
Read more about percentage decrease in value at; https://brainly.com/question/11360390
#SPJ1
Evaluate (3.4x10 4) (4.5x10 3).write your answer in scientific notation
Answer:
1.5×10^8
Step-by-step explanation:
Scientific notation can be regarded as
way to express large or too small numbers conveniently written in decimal form.
Given (3.4x10 4) (4.5x10 3).
To write your in scientific notation
3.4x10^4) (4.5x10^3)
This is multiplication
(3.4x10^4) ×(4.5x10^3)
(3.4x10^4)= 34000
(4.5x10^3)= 4500
Then multiply
4500 × 34000
= 153000000
= 1.5×10^8
Which group of numbers could be the measures of the sides of a right
triangle?
Answer:
it's B. i individually solved all of them using the pythagorean theorem.
Step-by-step explanation:
"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"
sqrt61=6+5
square everything on both sides and ur left with
61=36+25
61=50+11
61=61
boom
Somebody knows how to do that?
Answer:
p(g) (85 if 3g)
p(g) (135 if 3g)
p(g) (195 if 6g)
lets move p fwd so that 3+3+2 = 8
8 games = 3(85) + 3(135) + 2(195)
= 255 + 405 + 390
= 1050 yards
Statement would be something like > more than 1000 or designed around a division as proof to prove average or mean per game = 1050/8 = 131.25 mean or even the range 405-255 = 150 range whilst the median would be 135
Last question asks '' How many games has James played when he has scored 85 yards? '' The answer would be 1 game can be shown as g or 1g.
Let me know what the statement choices are and I'd be happy to help.
Step-by-step explanation:
A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer:
The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:
A. 0.5 hours
C. $1.25 per car
D. $3.05 per gallon
F. 35 miles per gallon
H. 54 miles per hour
Step-by-step explanation:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Distance travelled per gallon in the city = 27 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Joey's average speed using the city street route = 36 miles per hour
Number of hours to get to work using the city street route = 1 hour
Relevant data for highway driving total costs:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60
Answer:
A, B, D, F, H
Step-by-step explanation:
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters. Which equation could be used to find the surface area of the net of the triangular prism shown? SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2) SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answer:
(C)SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
Step-by-step explanation:
egde
Answer:
C
Step-by-step explanation:
Can someone plz help with this? Thank you so much.
Answer:
A. 3
Step-by-step explanation:
[tex]y = 3x - 8 \\ at \: (6, \: 1) \\ \frac{dy}{dx} = 3 \\ at \: (x, \: y) \\ gradient = \frac{y - 1}{x - 6} \\ 3 = \frac{y - 1}{x - 6} \\ y - 1 = 3(x - 6)[/tex]
HELP! Will give branliest!!
Answer:
10y + 29 ≤ -23
Step-by-step explanation:
subtract 29 from each side to get:
10y ≤ -52
y ≤ -5.2
can someone help me please?
Please help me with this question!:))
Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the two lines mean absolute value. The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6
if that makes sense :)
A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. Let X be the number of keys she tries before unlocking the door, countingthe key that actually worked.
Required:
Find the expected number of keys she will try before she opens the door.
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock.
Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].
Find the expected number of keys she will try before she opens the door.
The expected value of the uniform distribution is given by:
[tex]E = \frac{a + b}{2}[/tex]
Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:
[tex]E = \frac{1 + 8}{2} = 4.5[/tex]
The expected number of keys she will try before she opens the door is 4.5.
Find the measure of angle QZT.
========================================================
Explanation:
Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.
Add up the minor arcs
TUUVVQto get: 44+100+80 = 224
This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.
angle QZT = (arc TUQ)/2
angle QZT = 224/2
angle QZT = 112 degrees