Answer:
A, D and E
Step-by-step explanation:
A.
[tex]8 = z + 3[/tex]
Subtract 3 from both sides
[tex]8 -3 = z + 3-3[/tex]
[tex]5 = z[/tex]
[tex]z = 5[/tex]
B.
[tex]z - 1 = 6[/tex]
Add 1 to both sides
[tex]z - 1+1 = 6 + 1[/tex]
[tex]z = 7[/tex]
C.
[tex]20 = \frac{40}{z}[/tex]
Multiply through by z
[tex]z * 20 = \frac{40}{z} * z[/tex]
[tex]20z = 40[/tex]
Divide through by 20
[tex]\frac{20z}{20} = \frac{40}{20}[/tex]
[tex]z = 2[/tex]
D.
[tex]12z = 60[/tex]
Divide through by 12
[tex]z = 60/12[/tex]
[tex]z = 5[/tex]
E
[tex]12 + z = 17[/tex]
Subtract 12 from both sides
[tex]-12 + 12 + z = 17 - 12[/tex]
[tex]z = 5[/tex]
Hence:
A, D and E answers the question
Is x^2+8x+16 a perfect square
Answer:
YES IT IS A PERFECT SQUARE
Step-by-step explanation:
equate the equation to zero
x^2+8x+16=0
c is the product while the coefficient of b is the sum
P=16
S=8
find a pair of numbers that the product is 16 and the sum is 8
the numbers are (4,4)
(x^2+4x) (4X+16)
ignore 8x and arrange as shown above
then bracket the equation
x(x+4)+4(x+4)
you simplify and remain with (x+4) (x+4)
having similar roots making it a perfect square
If eight gallons of gasoline costs $21.44, what is the
cost for fifteen gallons of gasoline?
Equation:
Solution:
Answer:
$40.2 dollars
Please make me brainliest!
PLEASE ANSWER IM TIMED Use the graph above to write down an equation and fill out the table. Identify the charge for each hour of work and the one-time fee
Answer:
y= 50x + 150
charge for each hour is 50
one time fee is 150
Step-by-step explanation:
PLEASE HELP Due today!
What properties are these?
1. if PQ = PQ, then line PQ≅line PQ.
4. If RS = TU, then RS + XY = TU + XY
5. If AB = DE, then DE =AB
6. If Y is the midpoint of line XZ, then XY = YZ
7. if line FG ≅ line HI and line HI ≅ line JK, then line FG ≅ line JK
8. If AB+CD=EF+CD, then AB=EF
9. If PQ+RS=TV and RS=WX, then PQ+WX=TV
10. If LP=PN, and L, P, and N are collinear, then P is the midpoint of line LN
11. If line UV ≅ line UV, then UV=UV
Property bank:
Addition Property Of Equality
Multiplication Property Of Equality
Division Property Of Equality
Distributive Property Of Equality
Substitution Property Of Equality
Symmetric Property Of Equality
Transitive Property Of Equality
Reflexive Property Of Congruence
Symmetric Property Of Congruence
Transitive Property Of Congruence
Definition of Congruence
Definition of Midpoint
Answer:
it looks like it is Addition Property Of Equality
Step-by-step explanation:
Keith has 500 in his bank account. He earns $25 per week. He wants to have at least $740 in his Account at the end of the summer. How many weeks Miss Keith work?
Answer:
9 more weeks
Step-by-step explanation:
because if you do 740-500 you get 240
so then i divide 240 by the money per week (25) and
get 9.6 so it is 9 weeks
could someone out there perhaps help me? i’m so lost even though it’s probably so simple. i’ll give you brainleist :)
Answer:
y= -x+7, b= sqrt(2P/a), c=3P^2-b
Step-by-step explanation:
First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.
Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).
Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.
Both the domain and range of the graph shown above is all real numbers?
Answer:
A::True
Step-by-step explanation:
For the quadratic function the domain is all real numbers since the horizontal extent of the graph is the whole real number line. Because the graph does not include any negative values for the range, the range is only non-negative real numbers.
Slope = 2; y-intercept = -1
Answer: y=2x-1
Step-by-step explanation:
In slope intercept form y=Mx+b
Mx=slope and b=intercept
Y=2x-1
The equation of line with slope m = 2 and y-intercept is -1 is given by
y = 2x - 1
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 2
Let the y intercept of the line b = -1
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 2x - 1 be equation (1)
Therefore , the value of A is y = 2x - 1
Hence , the equation of line is y = 2x - 1
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how to solve −3/4n≤3.
Answer:
n ≥ -4
Step-by-step explanation:
-3/4n ≤ 3
-4/3(-3/4n) ≤ 3(-4/3)
n ≥ -12/3
n ≥ -4
CHECK:
correct
-3/4(-4) ≤ 3
12/4 ≤ 3
3 = 3
correct
-3/4(5) ≤ 3
-15/4 ≤ 3
-3.75 < 3
incorrect
-3/4(1) ≤ 3
-3/4 is not ≤ 3
Find the quotient.
36s^3t-26st
-----------------
-2st
Enter the correct answer.
Answer:
it is makeing me do it
Step-by-step explanation:
Jim drove 756 miles in 12 hours.
At the same rate, how many miles would he drive in 7 hours?
Answer:
441
Step-by-step explanation:
Use a proportion.
756 miles is to 12 hours as x miles is to 7 hours
756/12 = x/7
12x = 7 * 756
12x = 5292
x = 441
Answer: 441 miles
Answer:
441
Step-by-step explanation:
756 divided by 12 = 63
Jim drives 63 miles in 1 hour
Multiply 63 by 7
63 ⋅ 7 = 441
Jim will drive 441 miles in 7 hours
Hope I helped :)
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3/4(2x+1)=2 solve for x
Answer:
3/4(2x+1)=2
3/2x+3/4=2
3/2x=2 -3/4
3/2x=-10/4
3/2x(2)=-10/4(2)
3x= -5/2
3x/3 = -5/2 * 1/3
x= -5/6
Bob works as a plumber. He charges $45.00 for the first hour and $33.75 for each additional hour. Bob was paid $247.50 for his last job
How many hours did Bob work on his last job?
Answer:
7 hours
Step-by-step explanation:
$247.50 - $45.00 (how much he charges for the first hour) = $202.50
$202.50 ÷ $33.75 (how much he charges for the additional hours) = 6 hours
But he charges 45 dollars for the first hour so he 7 hours in total
slope=?
please help
Answer: It's 4
Step-by-step explanation: 12-8 is 4, 4-3 is 1
PLZ ANSWER WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
Which expression represents the correct factorization of the following polynomial?
27x^3+64
A.(3x+4)(3x^2−12x+64)
B.3x+4(9x^2+12x−16)
C.(3x+4)(9x^2−12x+16)
D.(9x+16)(3x^2−12x+4)
Answer:
I'm pretty sure that this one is the correct factorization of the polynomial above: c) (3x+4)(9x^2-12x+16)
(3x−4)⋅(9x
2
+12x+16)
See steps
Step by Step Solution:
More Icon
STEP
1
:
Equation at the end of step 1
33x3 - 64
STEP
2
:
Trying to factor as a Difference of Cubes
2.1 Factoring: 27x3-64
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 27 is the cube of 3
Check : 64 is the cube of 4
Check : x3 is the cube of x1
Factorization is :
(3x - 4) • (9x2 + 12x + 16)
Trying to factor by splitting the middle term
2.2 Factoring 9x2 + 12x + 16
The first term is, 9x2 its coefficient is 9 .
The middle term is, +12x its coefficient is 12 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 9 • 16 = 144
Step-2 : Find two factors of 144 whose sum equals the coefficient of the middle term, which is 12 .
-144 + -1 = -145
-72 + -2 = -74
-48 + -3 = -51
-36 + -4 = -40
-24 + -6 = -30
-18 + -8 = -26
For tidiness, printing of 24 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(3x - 4) • (9x2 + 12x + 16)
Answer:
C
Step-by-step explanation:
When factorising the sum of cubes, we use the formula
a^3+b^3=(a+b)(a^2−ab+b^2).
In this case of 27x3+64,
27x^3=a^3
64=b^3
Find a:
27x^3=a^3
3^√27x^3=3^√a^3
3x=a
Find b:
64=b^3
3^√64=3√b^3
4=b
Substitute a=3x and b=4 into
(a+b)(a^2−ab+b^2)
(3x+4)((3x)^2−(3x×4)+4^2)
= (3x+4)(9x^2−12x+16)
(3x+4)(9x^2−12x+16) is the factorised form of 27x^3+64
Answer the questions using the drop-down menus.
At what type of boundary do strike-strip basins form?
At what type of boundary do wedge basins form?
At what type of boundary do rift basins form?
At what type of boundary do arc basins form?
Answer:
At what type of boundary do strike-strip basins form? transform
At what type of boundary do wedge basins form? convergent
At what type of boundary do rift basins form? divergent
At what type of boundary do arc basins form? convergent
Step-by-step explanation:
Hope this helps!
Answer:
Answer the questions using the drop-down menus.
✔ transform
At what type of boundary do wedge basins form?
✔ convergent
At what type of boundary do rift basins form?
✔ divergent
At what type of boundary do arc basins form?
✔ convergent
Step-by-step explanation:
Hurry someone please answer plsss
Find the midpoint of each line segment.
Answer:
2.5
Step-by-step explanation:
you can use pythag theorem and divide c by two:
-3^2+4^2=c^2
9+16= 25
c=5
however, 5/2=2.5
Solve the equation.
–3x + 1 + 10x = x + 4
Answer:
x= 0.5
Step-by-step explanation:
It makes sense
The value of x is 1/2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
–3x + 1 + 10x = x + 4
Now, solving for x
-3x+ 10x - x = 4 - 1
7x - x = 3
6x = 3
x= 3/6
x= 1/2
Hence, the value of x is 1/2.
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List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
STRAIHGT FROM PLATO BOOOOIIIIII
Simplify negative 4 over 5 ÷ 3 over negative 2.
The answer choices are:
negative 8 over 15
negative 6 over 5
6 over 5
8 over 15
Answer: 8/15
Step-by-step explanation:
(-4/5) divided by (-3/2) becomes (-4/5) x (-2/3) because when dividing fractions, change it to multiplication and flip the divider (in this case -3/2)
Multiply numerators to get 8 and denominators to get 15 resulting in 8/15
Find the missing angle measures
Thank you!!
Answer:
SEE BELOW
Step-by-step explanation:
INTERRIOR ANGLES
3.
∠A + ∠B + ∠C = 180
(180 - 103) + (3x - 14) + (3x + 9) = 180
6x = 180 - 77 + 14 - 9
x = 108 / 6
x = 18
m∠ACB = (3x - 14)
= 3(18) - 14
= 40
m∠ABC = (3x + 9)
= 3(18) + 9
= 63
-------------------------------
INTERRIOR ANGLES
4.
∠A + ∠B + ∠C = 180
(180 - 97) + (2x + 2) + (14x - 1) = 180
16x = 180 - 83 - 2 + 1
x = 96 / 16
x = 6
m∠BCA = 2x + 2
= 2(6) + 2
= 14
m∠ABC = 14x - 1
= 14(6) - 1
= 83
-------------------------------
EXTERIOR ANGLES
5.
∠B
180 - 15x + 20
15x = 180 + 20
x = 200/15
x = 13.33
∠C
180 - 9x + 10
9x = 190
x = 190/9
x = 21.11
∠E
180 - 17x + 2
17x = 182
x = 182/17
x = 10.706
m∠BEF = 17x + 2
= 17 (10.706) + 2
= 184
m∠ABC = 15x + 20
= 15(15.33) + 20
= 220
-------------------------------
EXTERIOR ANGLES
6.
first solve x by adding all the interior angles = 180
∠B + ∠E + ∠C = 180
2x + x + 93 = 180
3x = 180 - 93
x = 87/2
x = 43.5
m∠BEC = 360 - x
= 360 - 43.5
= 316.5
m∠ABC = 180 - 2x
= 180 - 2(43.5)
= 93
what is 7/9 divided by 1/3
Answer:
7/3 or 2.333333333
Step-by-step explanation:
Answer:
Answer is 2 1/3
Step-by-step explanation:
7/9 divided by 1/3 you can't divide fractions so you multiply so it would look more like:
7/9 * 1/3 = 7/3
you then divide 7 by 3 and get 2 1/3
So your answer is 2 1/3
Which number line correctly shows –3 – 1.5?
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5..
Answer:5.4
Step-by-step explanation:
Which set of expressions are not equivalent? (4 1/2a + 2) + 3 and 5 + 4 1/2 a
Answer:
not equivalent
Step-by-step explanation:
2a+11
5+9/2a
How many solutions does this have? 2x = 2x - 9
A. No
B. One
C. Two
D. Infinity
Answer:
A. No solutions
Step-by-step explanation:
2x-2x=-9
0= -9
Since 0 does not equal -9, there are no solutions.
math help please! - ( 2/5 )
Answer:
D
Step-by-step explanation:
it is D because you always want x to be a lone fraction and that would be the first step im 99% sure unless someone can correct me :)
Answer:
d) subtract 15 from both sides
Step-by-step explanation:
Process of elimination:
a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.
b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.
c) to get rid of 15, which we need to somehow, we need to do the opposite operation than the one in the equation. 15 is +15, not negative, and so you would need to subtract to get rid of 15. This is why (c) is also wrong.
That leaves us, with (d), because you need to subtract 15 to isolate "x".
There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?
Answer:
3 benches needed
Step-by-step explanation:
Answer:
3 benches
Step-by-step explanation:
4 people to one bench
12 people divided by 4 = 3 benches
Mathematical Connections Jake's solution to
the equation - 4(2x - 3) = 36 is shown.
-4(2x - 3) = 36
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
-8x = 24
8x24
-8
X=-3
How is the solution to -4(2x - 3) > 36 similar to
and different from the solution shown?
The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.
Given that,
An equation is,
- 4(2x - 3) = 36
Here, Jake's solution to the equation - 4(2x - 3) = 36 is,
-4(2x - 3) = 36
Apply distributive property,
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
Subtract 12 on both sides,
-8x = 24
x = - 24/8
x = - 3
So, the solution x = -3 represents a single value of x that is equal to -3.
Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.
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This is probably easy, but please help me
Jon caught four fish that weighed a total of 276 pounds. The kingfish weighed twice as much as the amberjack and the white marlin weighed twice as much as the kingfish. The weight of the tarpon was 5 times the weight of the amberjack.
How much did each fish weigh?
Answer:
amberjack 21 pounds
kingfish 42 pounds
marlin 84 pounds
tarpon 105 pounds
Step-by-step explanation:
The weight of the fish is given below,
The weight of the Kingfish is 20 pounds.The weight of the amberjack fish is 40 pounds.The weight of the white marlin fish is 10 pounds.The weight of the tarpon fish is 200 pounds.What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jon caught four fish that weighed a total of 276 pounds. The kingfish weighed twice as much as the amberjack and the white marlin weighed twice as much as the kingfish. The weight of the tarpon was 5 times the weight of the amberjack.
The equation can be written as,
KF+A+W+T=276
Other relations are,
KF = A / 2
W = A /4
T = 5A
Substitute all the values in the above equation and solve for A.
KF+A+W+T=276
A / 2 + A + A / 4 + 5A = 276
2A + 4A +A +20A = 276 x 4
27A = 1104
A = 40 pounds
kingfish = KF = A / 2 = 20 pounds
White marlin = W = A / 4 = 10 pounds
Tarpon = T = 5A = 200 pounds
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