Given:
The equation is
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
To find:
The values of m and b.
Solution:
We have,
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
Using distributive property, we get
[tex]8x-12-mx-5=5x+b[/tex]
On combining like terms, we get
[tex](8-m)x+(-12-5)=5x+b[/tex]
[tex](8-m)x-17=5x+b[/tex]
On comparing both sides, we get
[tex](8-m)=5[/tex]
[tex]-m=5-8[/tex]
[tex]-m=-3[/tex]
[tex]m=3[/tex]
And,
[tex]b=-17[/tex]
Therefore, m = 3 and b = 17.
Note: All options are incorrect.
This is for law of sines
It says solve each triangle so what parts am I solving? Do I solve all parts or if there’s 2 angles and 1 side, I look for the other angle?
Step-by-step explanation:
Solving a triangle means finding all unknown sides and angles.
For example, in #9, the third angle is 180° − 81° − 59° = 40°.
Using law of sines, the other two sides are:
a / sin 59° = 15 / sin 40°
a = 20.0
b / sin 81° = 15 / sin 40°
b = 23.0
Which ones are incorrect and what did they forget
find the sum 9.33 + 48.4
Answer:
57.73
Hope this helps!!
Find the next three numbers in the pattern.
1,4,9,16,
Answer:25,36,49
Step-by-step explanation:
Answer:
25 , 36 , 49Step-by-step explanation:
1 , 4 , 9 , 16 , 25 , 36 , 49
1 + 3 + 5 + 7 + 9 + 11 + 13 = ↑
Hope this helps! <3
Points A, B, and C are collinear. Point B is between A and C. Solve for x
AB= 3x, BC= 2x - 2 , and AC= 18. Find x.
Answer:
x=4
Step-by-step explanation:
You set the equation up like this
3x+2x-2=18
5x-2=18
5x=20
x=4
A local sporting goods store is planning to hire up to 24 temporary employees for its annual Black Friday Sale. Experienced workers (x) will be paid $20 per hour and produce 1.5 times the profit that an inexperienced worker produces. Inexperienced workers (y) get hired at $15 per hour. The store can pay up to $400 per hour for the temporary employees. How many of each type of worker can be hired to maximize profit?
Answer:
8 experienced workers and 16 inexperienced workers
Step-by-step explanation:
Let x represent the number of experienced workers, y represent the number of inexperienced workers.
The store can hire up to 24 temporary employees, hence:
x + y ≤ 24
The store can pay up to $400 per hour, hence:
20x + 15y ≤ 400
Also, x, y > 0
The solution to the above problem is at (8, 16). Hence x = 8 and y = 16.
The profit of an experienced worker is 1.5 times the profit that an inexperienced worker. hence:
Profit = 1.5x + y
Profit = 1.5(8) + 16
Profit = 12 + 16 = 28
Triangle ABC with vertices A(9,13), B(12,11) and C(8,7) scale factor: K=2 center of dilation :(11,14)
The final position of the triangle will be at A"(7, 12), B"(1,-3) and C"(-3,-7)
Given the coordinate (x,y), if this coordinate is dilated by a factor of 2, the resulting coordinate will be (2x, 2y).Given the coordinate of triangle ABC, A(9,13), B(12,11), and C(8,7), if these coordinates are dilated by a factor of 2, the resulting coordinates will be ats A'(18,26), B'(24,22) and C'(16,14)If these coordinates are dilated along the centre (11, 14), the final position of the triangle will be at A''(18-11, 26-14), B"(12-11, 11-14) and C"(8-11, 7-14) which is A"(7, 12), B"(1,-3) and C"(-3,-7)
Learn more on transformation here: https://brainly.com/question/16888151
help Anita is making headbands for her softball team. She needs a total of 34 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
cotton 5.54
flannel 2.62
fleece 4.27
terry cloth 6.52
cost less than $8 per yard cotton, flannel and fleece.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
For cotton:
5.54 ÷ 3/4
=7.39<8
For flannel:
2.62 ÷ 3/4
=3.49<8
For fleece:
4.27 ÷ 3/4
=5.69 < 8
For terry cloth:
=6.52 ÷ 3/4
= 8.69>8
So, cost less than $8 per yard cotton, flannel and fleece.
Learn more about Unitary method here:
https://brainly.com/question/22056199
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If AM = MB, then AM + 5 = MB + 5.
which property
Answer:
Addition Property of Equality
Step-by-step explanation:
If A = B, then A + C = B + C
The statement is illustrating the Addition Property of Equality.
In the statement, A is AM, B is MB, and C is 5. Hope this helps!
The property of the required statement is addition Property of Equality.
It is required to find the property of the required statement.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
Addition Property of Equality:
In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
If A = B, then A + C = B + C
∴c=c
Therefore, the property of the required statement is addition Property of Equality.
Learn more about statement here:
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A teacher assigns 5 points for a correct answer and -2 points for an incorrect answer and 0 points for leaving the questioned unanswered. What is the score for Mohit who had 22 correct answers and 15 incorrect answers and 7 unanswered questions?
Answer:
Mohit has a score of 80
Step-by-step explanation:
Answer: Mohit got a scoe of 70
Step-by-step explanation: had this question on my assigment
A mechanic buys 2 barrels of oil. If there are 63 gallons in every barrel and approximately 3.785 liters for every gallon, approximately how many liters of oil did the mechanic buy?
Answer:
476.91 Liters
Step-by-step explanation:
Lets start by figuring the liters per gallon amount. 63 times 3.785 equals 238.455. Since we have 2 barrels, we need to multiply this by 2 in order to get a grand total of 476.91 liters of oil.
If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?
Answer:
It could by any 2 numbers that satisfy a^2+b^2= 20.
One example would be 4 and 2:
4^2+2^2=16+4=20
I hope this helped.
a) Simplify
7(x - 2)2
7X = 2
Please
Answer:
49 x2 + 28 x + 4
Step-by-step explanation:
What is the rate of change (slope) of the function y = −7x?
The rate of change is -7, because the standard equation is y = mx + b, where m is the slope and b is the y intercept. Here, m is what is attached to x, which is -7, s0 -7 is the slope.
-7PLZ HELP ASAP. I need to make these equations
Answer:
725 = 475 +25x
15+x/2=9
Step-by-step explanation:
Answer:
725 = 475 +25x
15+x/2=9
Step-by-step explanation:
What is the sun's radius in miles.
Answer:
432,690 mi I think
Answer:
432,690 miles
Solve the equation, justify
each step with an algebraic
property
50 + 3x = 7x- 2
Answer:
13
Step-by-step explanation:
Step 1:
50 + 3x = 7x - 2 Equation
Step 2:
50 = 4x - 2 Subtract 3x on both sides
Step 3:
52 = 4x Add 2 on both sides
Step 4:
x = 52 ÷ 4 Divide
Answer:
x = 13
Hope This Helps :)
This du today I NEED HELP!!!!! IS URGENT!!!!!!!!!!!!!
Answer:
x = 8
Step-by-step explanation:
The perimeter of a body is the sum of all its sides.
Perimeter of the triangle;
hypothenuse + opposite + adjacent = x+6 + x + 3 + x + 9 = 3x + 18
Perimeter of the rectangle = x+1 + x + 4 + x + 1 + x + 4 = 4x + 10
Now,
Since their perimeter is equal;
3x + 18 = 4x + 10
3x - 4x = 10 - 18
-x = -8
x = 8
Translations can be written using ordered pair notation
True or false
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Please help ASAP
Mark you as brainlister
26 less than three times a number is -32 find the number
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose a number is :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Three times of it means :
[tex]3x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
26 less than above means :
[tex]3x - 26[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Equals - 32 :
[tex]3x - 26 = - 32[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the that number ;
x asked thus we need to solve the above equation for x.
Let's do it....
[tex]3x - 26 = - 32[/tex]
Add sides 26
[tex]3x - 26 + 26 = - 32 + 26[/tex]
[tex]3x = - 6[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = \frac{ - 6}{3} \\ [/tex]
[tex]x = - 2[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
421 × 18 ≈ ____ × ____ = ____
Answer:
Step-by-step explanation:
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Answer:
18 x 421 = 7578
Step-by-step explanation:
421 x 18 = 7578
Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile driven. Kevin had to pay $157.64 when he returned the truck. for how manny miles did he drive the truck?
Answer:
Step-by-step explanation:
Base fee = $17.99
Additional charge = $0.95 for each mile driven
If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.
157.65 - 17.99 = 139.65
This means that the remaining $139.65 is how much he paid for the miles he drove.
Since we know each mile costs $0.95.
Simply divide $139.65 by $0.95 to work out how many miles he drove.
Miles driven = 139.65 / 0.95 = ?
what is the answer??
Answer:
-8x + 11
(i’m assuming you just need to combine terms?)
Step-by-step explanation:
-5x + 7 - 3x + 4
combine 7 & 4 to get
-5x + 11 - 3x
combine -5x and -3x to get
-8x + 11
Answer:
-8x + 11
Step-by-step explanation:
Find two numbers if their difference is 16 and their ratio is 5:7.
please hurry
Answer:
40 and 56
Step-by-step explanation:
What is 212 tens / 10
Answer:
212 ones
Explaination:
If you have 212 tens and trade them all for ones, hence the ÷10, you'll get 212 ones.
Donna has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same
distance to cool down. If she runs at a speed of 10 mph and walks back at a speed of 2 mph, how long should she plan to spend walking back?
Answer:
Avg speed of the round trip = 2*10*2/(10+2) = 10/3 mi/hr
D = r*t = (10/3)*6 = 20 miles
--> 10 miles each way
--> 5 hours walking back.
She'll get bored doing that.
Step-by-step explanation:
please help me!!! It’s due Thursday
Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
$0.68
$0.78
$3.10
$4.10
Answer:
b
Step-by-step explanation:
Answer:0.78
Step-by-step explanation:
Pls help me I don't get it at all?
Answer:
the answer is b
Step-by-step explanation:
use symbolab