Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
7(2x - 5) = 21
Step 2: Solve for x
Distribute 7: 2x - 5 = 3Isolate x term: 2x = 8Isolate x: x = 4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(2(4) - 5) = 21Multiply: 7(8 - 5) = 21Subtract: 7(3) = 21Multiply: 21 = 21Here we see that 21 does indeed equal 21.
∴ x = 4 is the solution to the equation.
What type of solution does this equation have? *
4x + 8 = 4x + 8
no solution
one solution
infinite many solutions
Answer:
Infinite solutions
Step-by-step explanation:
4x + 8 = 4x +8
Both sides are exactly the same, so there are infinite solutions.
Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
40 lb
64 lb
76 lb
90 lb
Answer: 64 lbs
Step-by-step explanation:
I divided 56/140 and got 0.4. Then multiplied 0.4 by 160 and got 64. SOunds about right to me.
You can double check by multipling 0.4 by 140 and you get 56.
Answer:
64lb
Step-by-step explanation:
i mean i got it right on my quiz on egde 2020
What is the
Measure of angle B in degrees?
Answer:
B = 119! The answer is 119!
Step-by-step explanation:
HELPPPPPPPPPPPP 7TH GRADE
Answer:
263 ft
Step-by-step explanation
Two candidates ran for class president. The candidate that won received 60% of the 380 total votes. How many votes did the winning candidate receive?
this all my points pls dont troll;-;
Answer: 228
Step-by-step explanation:
10% of 380 is 38.
The winning candidate got 60% of the votes.
So, we will multiply 38 by 6.
38 x 6 = 228
The answer to the question is 228.
Solve the quotient of 9.36 and 0.3
Answer:
31.2
Step-by-step explanation:
it's just basic division
Please help. This is geometry.
Answer:
ASA
Step-by-step explanation:
We know angle KLM=angle KLNWe know KL=KLWe know angle MKL=angle NKLHELP ASAP
HELP ASAP
HELP ASAP
What is the value of X?
Answer:
61 degrees
Step-by-step explanation:
180 - 58 = 122
Since both sides are congruent, 122/2 = 61
Answer:
61
Step-by-step explanation:
Since ED and EF are congruent, Angle D = Angle F meaning angle F is also x degrees.
From here, we can use the total sum of angles in a triangle = 180 to calculate x:
180 = 58 + x + x
180 = 58 +2x
122 = 2x
x= 61 degrees
find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
The central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
For given question,
we need to find the radian measure of the central angle of a circle of radius r.
The central angle intercepts an arc of length s.
Let θ be the central angle in radians.
We know that the arc length of circle of radius r is,
s = r × θ
where s is the arc length
r is the radius of the circle
θ is the central angle measured in radians
From above equation,
we have, θ = s ÷ r
Therefore, the central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
Learn more about the arc length here:
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Given trapezoid ABCD whose bases are segment AB and segment CD, what is mZB?
Answer:
x = 19
<B = 125°
Step-by-step explanation:
The sum f angle <D and angle <A is equal to 180° because these angles are supplementary
75° + 5x + 10 = 180° add like terms
85 + 5x = 180 subtract 85 from both sides
5x = 95 divide both sides by 5
x = 19
Same rule goes for angle <C and angle <B
<B + 55° = 180 subtract 55 from both sides
<B = 125°
In a recent year, Major League Baseball player Jack Wilson's batting average was 0.308. Melvin Mora hit safety 17 out of every 50 at-bats and Bobby Abreu hit safety 30.1% of the time. Find Mora's and Abreu's batting averages and order all three averages from least to greatest.
Answer:
Bobby Abreu (0.301) < Jack Wilson (0.308) < Melvin Mora (0.34)
Step-by-step explanation:
Jack Wilson = 0.308
Melvin Mora's average = Number of hits / Total number = 17 / 50 = 0.34
Bobby Abreu = 30.1% = 30.1 / 100 = 0.301
In order of least to greatest;
After coomparing all three batters;
Bobby Abreu (0.301) < Jack Wilson (0.308) < Melvin Mora (0.34)
Tim and Lizzy are going camping. Tim has x amount of marshmallows for making stores. Lizzy has 6 times as many marshmallows as Tim.
What expression represents how many marshmallows Lizzy has?
x - 6
6/x
6x
6 + x
I NEED THIS ASAP PLEASEEEE!
Answer:
......................
will give brainleast if u can solve this for me: (9✖️3)➕6(34➗678)=?
Answer:
3085
113
as a fraction!
Solve for brainliest
Answer:
X = 18 Y= 30
Step-by-step explanation:
Since you have to do times two to X and Y.
Mark as brainliest plz
Answer: y=30 x=18
Step-by-step explanation:
16x2=32
so everything else must be multiplied by 2 bc the shape is 2 times bigger according to 16 and 32
15x2=30
so 30=y
9x2=18
so 18=x
What is the distance between points A and B?
Answer:
A
Step-by-step explanation:
I am 99.9% certain that this answer is A. It asks the Difference between point A and B. Difference = subtraction. So, C and D is automatically out of the Picture. I calculated A and A makes the most sense.
Which of the following is divisible by 3?
a) 10
b) 24
c) 67
d) 555
Answer:
24, 555 are answer of this question.
Step-by-step explanation:
2+4=6 (3×8)
5+5+5=15 (15 is divisible by 3 ).
Answer:
B and D
Step-by-step explanation:
24 divided by 3 equals 8
555 divided by 3 equals 185
3 does not divide equally into 24 or 67
HOPE THIS HELPS <33333
-Silver
Please help!!! Urgent for homework
Answer: 7 and 8
Step-by-step explanation:
Square root and squared cancel out
Answer:
a=7
b=32
Step-by-step explanation:
The first one (a) is 7 because if you square a square root, you get the number inside the root. Also, technically a square root has an exponent of (1/2) so when you have a power-to-a-power (power rule of exponents) you multiply the exponents. So ([tex]7^{1/2}[/tex])^2 is 7.
For (b) you have to take it in two parts. Square the square root and you get 2. Square the 4 in front, you get 16. Multiply those two numbers (16 and 2) together and you get 32.
Edit: Check on your calculator, you get the same answers I got! :)
Given the following formula, solve for l.
P=2(l+b)
Answer:
D
Step-by-step explanation:
P=2(L + B)
P = 2L + 2B
P - 2B = 2L
OR P - 2B BY 2 = L
THEREFORE, D.
Answer:
D.
Step-by-step explanation:
NEED HELP ASAP!!!!!
a. When x = -1, what is the value of y?
Continue on the following page.
b. When y = 7, what is the value of x?
c. What is the y-intercept of the graph?
d. What is the x-intercept of the graph?
e. What is the slope of the line?
f. What is the equation of the line?
Answer:
a. y = 3
b. x = 1
c. y-intercept = 5
d. x-intercept = -2.5
e. 2
f. y = 2x + 5
Step-by-step explanation:
Based on the graph, we can see the point where x is -1, y = 3.
Based on the graph, we can see the point where y = 7, x = 1.
Based on the graph, we can see the y-intercept is 5.
Based on the graph, we can see the x-intercept is -2.5.
To calculate the slope of the line, I will be using the points (-1, 3) and (0, 5).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{5-3}{0-(-1)}[/tex]
= [tex]\frac{2}{1}[/tex]
= 2
The equation of a line is: y = mx + c where m is the slope and c is the y-intercept. Thus, the equation of the line in this case is: y = 2x + 5
Atticus is examining the equations: 4x + 2y = 10 and y = -2x + 5. He states that the equations are equivalent. Is he correct why or why not?
Answer:
He is correct
Step-by-step explanation:
Put the first equation into y = mx + b by isolating y:
4x + 2y = 10
2y = -4x + 10
Divide each side by 2:
y = -2x + 5
So, putting the first equation into y = mx + b got us the same equation as the second one, y = -2x + 5.
Since they are the same, the equations are equivalent.
Atticus is correct.
Tina's car needs to be repaired. As auto repair shop charges Tina $42.30 for replacement parts and $22.50 per hour of labor.
If Tina gets charged a total of $109.80, how many hours of labor were spent on the repair?
O 5 hours
O 4 hours
O 3 hours
O 2 hours
Ms. deng can walk 1 mile in 20 minutes. her sister can walk 2 miles in 1 hour. who walks faster? why? show all work.
Answer:
she is faster
Step-by-step explanation:
first find how long sister takes to walk 1 mile - if she walks 2 miles in 1 hour she'll take less time to walk 1 mile, 2/2 = 1 mile
and 60mins/2 = 30mins
so sister walks 1 mile in 30 minutes and she walks 1 mile in 20 mins so she is faster by 10 mins
hope this helps :)
the quotent of 6 and a number r
Answer:
6/r
Step-by-step explanation:
Quotient is the result of a division.
Answer: 6/r
!!!HELP PLZ!!!
write the slope-intercept form of the equation of the line through the given slope:
through: (-4, 3) Slope=1
Answer:Y=X+7
Step-by-step explanation:
A map has a scale of 1 cm = 30 km . If two cities are 11 cm apart on the map, what is the actual distance between the two cities to the nearest tenth of a km !
Tickets to the museum cost 7.50 each. Students receive a 15% discount on admission. What is the cost of a student ticket?
Answer:
138
Step-by-step explanation:
Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?
Answer:
Step-by-step explanation:
180 degree rotation about point C prime composition reflected across line m
Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.
The y-coordinate of B" is 3
The coordinates of vertex B of quadrilateral ABCD is:
[tex]\mathbf{B = (-3,7)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{B' = (-3,-7)}[/tex]
The rule of 90 degrees clockwise rotation across the origin is:
[tex]\mathbf{(x,y) \to (y,-x)}[/tex]
So, we have:
[tex]\mathbf{B" = (-7,3)}[/tex]
Hence, the y-coordinate of B" is 3
Read more about transformation at:
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Determine which equation represents a function.
A. y = -2x + 1
B. x=4
C. x=y²-1
D. y²-x
The equation that represents a function is (A) y = -2x + 1.
A Function is defined as an equation for which any "x" we substitute in the equation will give only one output such as "y"
it is denoted by y=f(x).
In the given question
Option (A)
y=-2x+1
Yes the given equation is a function ,
because when we substitute a value in x ( let x=2) it gives only a single output (y=-3).
Hence , y=-2x+1 is a function .
Option (B)
x=4
No, it is not a function as ,
x=4 is a vertical line parallel to y axis ,
we know that for a function every value of x will have exactly one y .
For x=4 , y can 0 , -9 , 6 .
Hence , x=4 is not a function.
Option (C)
x=y²-1
No. it is not a function ,
we know that for a function every value of x will have exactly one y .
For x=0 , y=+1,-1 .
Hence , x=y²-1 is not a function .
Option (D)
y²-x
No , it is not a function
As y²-x do not have an equal to sign "=" , it cannot be considered as an equation.
Hence , y²-x is not a function .
Therefore , Only y = -2x + 1 represents a function , the correct option is (A) y = -2x + 1
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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90
Answer: 15
Step-by-step explanation:
(r+1)th term of [tex](a+b)^n[/tex] is given by:-
[tex]T_{r+1}=\ ^nC_r(a)^{n-r}b^r[/tex]
For [tex](a+b)^6[/tex] , n= 6
[tex]T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\[/tex]
[tex]=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2[/tex]
Hence, the coefficient of the third term in the binomial expansion of [tex](a+b)^6[/tex] is 15.
Answer:
15
Step-by-step explanation:
Plz help due tomorrow
Answer: $21000
Step-by-step explanation:
By uwing option A, the salesperson will make (40 × $21) = $840.
Let the amount of sales that is needed for the week to be thesame as option A be x. Therefore,
4% of x = $840
4% × x = $840
0.04x = $840
x = $840/0.04
x= $21000
The salesperson need to sell $21,000 worth of sales