Answer:
[tex]\huge\boxed{v=5}[/tex]
Step-by-step explanation:
[tex]-37-2v=-6(2v-3)-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\-37-2v=(-6)(2v)+(-6)(-3)-5\\\\-37-2v=-12v+18-5\\\\-37-2v=-12v+(18-5)\\\\-37-2v=-12v+13\qquad\text{add 37 to both sides}\\\\-37+37-2v=-12v+13+37\\\\-2v=-12v+50\qquad\text{add}\ 12v\ \text{to both sides}\\\\-2v+12v=50\\\\(-2+12)v=50\\\\10v=50\qquad\text{divide both sides by 10}\\\\\dfrac{10v}{10}=\dfrac{50}{10}\\\\v=5[/tex]
Answer:
v = 5
Step-by-step explanation:
-37 -2v = -6 (2v - 3) - 5
-2v - 37 = -6 (6*2v - 6*3) - 5
-2v - 37 = - (12v - 18) - 5 combine like terms
-37 - 18 + 5 = -12v + 2v
-50 = -10v
v = -50 / -10
v = 5
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900. Let B represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? 2)What is the least amount of money that Joe can spend to get the amount of rooms they need? Work not needed!
Answer:
The answer is below
Step-by-step explanation:
1) The number of rooms Joe company needs is 50. Let the number of rooms needed be n, this can be represented by the inequality:
n ≥ 50
Joe has already reserved 16 rooms, therefore the number of additional rooms needed to be reserved = 50 - 16 = 34 rooms. At least 34 rooms have to be reserved, if B is the number of additional blocks that Joe reserves, the inequality is:
B ≥ 34
2) Each block contains 8 rooms therefore the minimum number of block (a) needed to be reserved = 34/8 = 4.25 = 5 to the next whole number. Therefore the minimum number of blocks needed is given as:
a ≥ 5
Since each block cost $900, let c represent the minimum amount of money needed, therefore the least amount of money needed is given as:
c = $900(5) = $4500
c ≥ $4500
Here, we are required to determine which inequality describes the scenario in the question and the least amount of money that Joe can spend to get the amount of rooms they need.
(1) The inequality which best describes the scenario is; B ≥ 4.25.
(2) The least amount of money that Joe can spend to get the amount of rooms they need is; $4500
First, since they need at least 50 total rooms and Joe had already reserved 16 rooms.Therefore, Joe needs to reserve an additional 34 rooms to completely accomodate people who are going on the trip.And since, he can only reserve rooms in blocks with each block containing 8 rooms;The number of blocks he needs to reserve; B ≥ 4.25.
Therefore, since only whole blocks can be reserved, Joe needs to reserve 5 blocks.Therefore, since one block costs $900, then, 5 blocks will cost $900 × 5 = $4500.Read more:
https://brainly.com/question/19003099
Lenny is competing with his cousin, Jasper, in an indoor rock-climbing contest. At the start of the climb, Lenny makes his way 5 ¼ feet up the wall, while Jasper climbs 9 ¾ feet. How much farther did Jasper climb than Lenny?
Answer:
[tex]4\frac{1}{2}[/tex] feet further.
Step-by-step explanation:
Since these are mixed numbers that are both in fourths, we can easily subtract the two numbers. However, I find it easier if we first convert both mixed numbers into improper fractions.
[tex]5\frac{1}{4} = \frac{5\cdot4+1}{4} = \frac{21}{4}[/tex]
[tex]9\frac{3}{4} = \frac{9\cdot4+3}{4} = \frac{39}{4}[/tex]
Now we can subtract the numerators:
[tex]\frac{39}{4} - \frac{21}{4} = \frac{39-21}{4} = \frac{18}{4}[/tex]
[tex]\frac{18}{4}[/tex] simplifies down to [tex]\frac{9}{2}[/tex].
Converting [tex]\frac{9}{2}[/tex] to a mixed number is easy - 2 goes into 9 4 times (8) with one remainder so:
[tex]4\frac{1}{2}[/tex] .
Hope this helped!
PLS HELP IMMEDIATLYRewrite the equation by completing the square. 4 x^{2} +8 x +3 = 0 in (x+_)^2=_
Answer:
(x + 1)^2 = 1/4
Step-by-step explanation:
Here, we want to rewrite the equation by completing the square.
The equation to rewrite is;
4x^2 + 8x + 3 = 0
4x^2 + 8x = -3
divide through by the coefficient of x^2 which is 4
That will give ;
x^2 + 2x = -3/4
Now divide the coefficient of x by 2, square it and add to both sides of the equation.
We have;
x^2 + 2x + 1^2 = -3/4 + 1^2
x^2 + 2x + 1 = -3/4 + 1
x^2 + 2x + 1 = 1/4
= (x + 1)^2 = 1/4
How does the graph change between point A and point B?
5
4
3
B
А A
1
-2-1
6 7
8
X
-2
The graph increases
The graph decreases.
The graph remains constant.
The graph increases, then decreases.
Answer:
Step-by-step explanation:
A
Answer:
A
Step-by-step explanation:
What is the solution to the equation 1 over the square root of 8 = 4^(m + 2)? A) m = − 15 over 4 B) m = − 11 over 4 C) m = 5 over 4 D) m = 9 over 4
Answer:
B) m = -11/4
Step-by-step explanation:
What is the solution to the equation 1/sqrt(8) = 4^(m+2)
1 over the square root of 8 = 4^(m + 2)?
A) m = − 15 / 4
B) m = − 11 / 4
C) m = 5 / 4
D) m = 9 / 4
1/sqrt(8) = 4^(m+2) apply law of exponents
1/2^(3/2) = (2^2)^(2m+4)
2^(-3/2) = (2)^(2m+4)
-3/2 = 2m+4
2m = -11/2
m = -11/4
A line is defined by the equation 2 x + y = 4. Which shows the graph of this line? On a coordinate plane, a line goes through points (negative 2, 0) and (0, 4). On a coordinate plane, a line goes through points (0, 1) and (2, 5). On a coordinate plane, a line goes through points (0, 4) and (2, 0). On a coordinate plane, a line goes through points (0, 2) and (2, 0).
Answer:
its c
Step-by-step explanation:
im pretty sure lmk if i am wrong :)
The graph of the given line 2 x + y = 4 is a straight line and the coordinates present above the line will be ( 0, 4) and ( 2, 0) hence option (C) will be correct.
What is a line?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in bdirections.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
A coordinate that is present in the line will always satisfy the equation of the line.
In the given option the coordinate (0, 4) and (2, 0) is satisfying the given eqution by substituting the value 2 x + y = 4 hence option (C) will correct.
For more about line segment
https://brainly.com/question/25727583
#SPJ6
What is the simplified expression for 22 • 2?
24
O 20
021
O 22
0 23
2^1 would be the answer.
2^2 x 2^3 is 32
2^4 is 16
32/16 is 2
2^1 is 2 so the answer is 2^1
Answer:
2¹
Step-by-step explanation:
When multiplying exponents of the same base, you can simply add the exponents together so 2² * 2³ = 2⁽²⁺³⁾ = 2⁵. When dividing exponents of the same base, you can simply subtract the exponents so 2⁵ / 2⁴ = 2⁽⁵⁻⁴⁾ = 2¹.
Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x − 500,000 and g(x) = 0.2x where x equals your annual sales. Which function composition gives the bonus amount when your sales are over $500,000?
A) x(f(g))
B) x(g(f))
C) g(f(x))
D) f(g(x))
Answer:
C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]
Step-by-step explanation:
Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:
[tex]g\,\circ \, f (x) =g(f(x))[/tex]
Hence, the right answer is C.
A car traveled 420 miles in 7 hours how many miles did it travel per hour?
Answer:
60 Mile per hour
Step-by-step explanation:
Hello!
To find how far something travel in a span of time we divide the distance traveled by the time it took to travel that far
420/7 = 60
The Answer is 60mph
Hope this Helps!
Answer: 60 miles per hour
Step-by-step explanation:
420 miles / 7 hours
Simplify (5x3y) (2xy4)
Answer: 10x^4y^5
Step-by-step explanation:
5x^3y^1•2x^1y^4
5•2=10
x^3•x^1=x^4
y^1•y^4=y^5
10x^4y^5
Jami bought 4 cookies that cost $1.45, each. She paid with 6 one-dollar bills. how much change does Jami recive?
Answer:
$0.20
Step-by-step explanation:
4 x 1.45 = $5.80
6.00 - 5.80 = 0.20
Answer: $0.20
Step-by-step explanation:
Do 4 *$1.45 = $5.80
This is how much her total was.
She gave $6 in cash.
Subtract.
6-5.80=$.20
Use the rule "subtract 6" to create a sequence of 10 numbers starting with 100. (explanation/work needed)
Answer:
100 -6 = 94
94 - 6 = 88
88 - 6 = 82
82 - 6 = 76
76 - 6 = 70 We can then show and prove 70 -> 64.
64 -> 58
58 -> 52
52 -> 46
46 -> 40
As numbers that end in 0, decrease to units that end in 4,8,2,6,and back to zero.
= all numbers that end with 0 have numbers that end in 4,8,2,6,0 when subtracting 6.
As 6 x 10 = 60 and 60 +40 = 100
We cna prove 4+8+2+6 = 20
20+20 = 40 and would continue this pattern to get to 10 we can then see the sequence of how 30/6 and proves each 5 number coordinate being 4,8,2,6,0 until we get to 10.
We then find 4,-2,-8,-14,and-20 it skips out 2 and 6 here on the neutral line but then starts and changes the sequence end numbers to -26 -32, -38,-44 and -50. This proves that-2 and -8 has significance and shows us a real sum that on negative -2 -8 = 6
The inverse of the 40 marker in the positive shows us 60
and 60 -50 = 10 being our 2nd positive closest to zero.
These were repeated twice and show 40 deducted and a further 18 as 0 counts for 2 subtractions 100-6 70-6 just like 94 +6 = 100 and like 70+6 = 76 and 40+6 = 46
3 x 6 = 18
40+ 18 = 58
100-58 = 42 and shows us a reflection again with 4 and 2
not just 4+2 = 6 it shows is 4/2 = 2 42/2 = 21 and 7 being a divider represents the first sequence group of 10 from 100 being 70 and just as significant in a decrease of 6 in relation to 100.
100-70 = 30
30-6 = 24
24 / 6 = 4
and we mark 4 as our first unit with relation to 100 and its decrease of 6 in sequence.
This may help you remember that 30 x 100 = 3000 and would be increasing by 6 x 180 times. But when we decrease from here we find 2400 a likely number as 3000-600 - 2400
This may help you remember that 400/6 = 66.6666666667 and why decrease always ends up as negative when 400 x 6 = 2400 and is a much more dividable number. and that 400 is not dividable by 6 in the first place, and may be linked to why a neutral zero number may show 4 and 10 and -2 and -8 where all these numbers divide into 400 6 just doesn't work in any even hundred number below 1200 except for 600 as we know and recall 6 divides into 30 and 18 but not into 40, just counts back to inverse 40 from 100 as its counting 2 x 30 = 60. It does divide into 2400 and that is a midway point back down to 1800 from 3000. So this may help you remember divisors of larger numbers.
When sketching a normal curve, what
value represents one standard deviation
to the right of the mean for the data set?
56, 54, 45, 52, and 48.
Answer:
The value representing one standard deviation to the right of the mean is 55.
Step-by-step explanation:
The provided data set is:
S = {56, 54, 45, 52, and 48}
Compute the mean and standard deviation as follows:
[tex]\mu=\frac{1}{n}\sum X=\frac{1}{5}\times [56+54+45+52+48]=51\\\\\sigma=\sqrt{\frac{1}{n}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{5}\cdot {(56-51)^{2}+...+(48-51)^{2}}}=\sqrt{\frac{1}{5}\times 80}=4[/tex]
Compute the value representing one standard deviation to the right of the mean as follows:
[tex]X=\mu+1\cdot \sigma[/tex]
[tex]=51+(1\times 4)\\=51+4\\=55[/tex]
Thus, the value representing one standard deviation to the right of the mean is 55.
What is the value of m in the equation 1/2m - 3/4n = 16, when n = 8?
Answer: m= 44
Step-by-step explanation:
1/2m - 3/4n = 16 when n is 8 put it into the equation and solve for m.
1/2m - 3/4(8) = 16
1/2m - 6 = 16
+6 +6
1/2m = 22
m = 44
Answer:
44
Step-by-step explanation:
● (1/2 )× m - (3/4) × n = 16
Replace n by 8 and the fraction by decimal numbers (1/2 = 0.4 and 3/4 =0.75)
● 0.5 × m - 0.75 × 8 = 16
● 0.5m - 6 = 16
Add 6 to both sides
● 0.5 m - 6 + 6 = 16+ 6
● 0.5 m = 22
Multiply both sides by 2
● 0.5m × 2 = 22 × 2
● m = 44
Lines CD and DE are tangent to circle A shown below: If Arc CE is 112°, what is the measure of ∠CDE? a 124° b 136° c 68° d 56°
Answer:
C
Step-by-step explanation:
The central angle of this is 112 degrees. That is CAE is 112 degrees. That being the case, CDE is 90 + 90 + 112 = 292 Tangents make a 90 degree angle with the center of the circle.
CDE = 360 - 292 = 68
C
The measure of ∠CDE is 68degrees
This question bothers on circle geometry;
From the diagram, we can see that ACDE will form a quadrilateral. Since the sum of angles of a quadrilateral is 360degrees, hence;
[tex]<CDE + arcCE+<C+<E=360[/tex]
From the diagram, since CD and DE are both tangential to the circle at point C and E, this shows that <E = <E = 90°
substituting the given values in the formula;
[tex]<CDE+112+90+90=360\\<CDE + 292=360\\<CDE=360-292\\<CDE =68^0[/tex]
Hence the measure of ∠CDE is 68 degrees
Learn more on circle geometry: https://brainly.com/question/24357871
15. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-9, -4, 1, 6, ...
Answer:
11, 16
Step-by-step explanation:
the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11
then 11 + 5 = 16
Answer:
11,16
Step-by-step explanation:
We are adding 5 each time
-9+5 = -4
-4+5 =1
To find the next two terms
6+5 =11
11+5 = 16
The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(1/2)x and f(1) = 173. What does the 1 represent?
Answer:
D
Step-by-step explanation:
i took the test and i got it right
All points of the step function f(x) are graphed
What is the domain of f(x)?
O {x4
O {x] -3 < x 54}
O {x|1 < x 54}
O {x|2
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.
Loreto quería decorar un viejo tambor metálico para usarlo de paragüero. Para ello, contaba con un grueso cordón que pretendía pegar en el contorno del borde superior del tambor. Sabiendo que el diámetro de este era 58,5 cm, cortó el cordón, dejando el trozo más largo de 175,5 cm de longitud de modo que le alcanzara justo, pero le faltaron 7 cm. ¿Cuál fue el error de Loreto?
Answer:
u should put the question in English to so English people can also help
A 3 liter bottle of juice costs $5.70
What is the unit price for 1 liter of juice?
Answer:
$1.90
Step-by-step explanation:
Divide 5.7 by 3 to get your answer.
[tex]\frac{5.7}{3}[/tex] = 1.9
Answer:
$1.90
Step-by-step explanation:
First, write out what you know.
So, you know that you have 3 liters.
Together, they cost $5.70.
You want to know the unit price, for 1 liter.
Therefore, you would divide $5.70 by 3:
[tex]\frac{5.70}{3}=\frac{1.90}{1}=1.90[/tex]
This means that the unit price, for 1 liter of juice, would be $1.90.
i promise i will mark as brainiest
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2). Match the coordinates of the points of the transformed polygons to their correct values. the coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ (-2, 2) the coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ (4, -2) the coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ (3, -1) the coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ (4, 2)
Answer:
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.
Given Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
If a point X(x, y) is rotated 90° counterclockwise, the new location X' is at (-y, x)
If a point X(x, y) is rotated 90° clockwise, the new location X' is at (y, -x)
If a point X(x, y) is rotated 180° clockwise, the new location X' is at (-x, -y)
If a point X(x, y) is rotated 270° counterclockwise, the new location X' is at (y, -x)
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Answer:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise, the new point is at A'(-y, x).
If a point A(x, y) is rotated 90° clockwise, the new point is at A'(y, -x). If a point A(x, y) is rotated 180° counterclockwise, the new point is at A'(-x, -y).
If a point A(x, y) is rotated 270° counterclockwise, the new point is at A'(y, -x).
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is D'(-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is C"(3, -1).
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is A''"(4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is B"(4, 2)
Evaluate the expression when a= 5 and x= -2 -a+6x Thankyou ! !
Answer:
[tex]\boxed{-17}[/tex]
Step-by-step explanation:
Hey there!
If x is -2 and a is 5 then we can plug those in,-a + 6x.
-(5) + 6(-2)
-5 + -12
= -17
Hope this helps :)
I dont really understand how to solve this
Answer:
2040 miles
Step-by-step explanation
Gas costs 1.35 per gallon and Jose had 81 dollars for gasoline
with this info we can find out how many gallons of gas Jose can buy.
81 divided by 1.35 is 60 gallons of gas
we also know that he can travel 34 miles for each gallon of gas
with this we can find out how far jose can travel
34 multiplied by 60 is 2040 miles
so, with $81, Jose can travel 2040 miles if gas prices are $1.35
1. A cone is 8cm high and has a base diameter of 12cm.its slant height is a.6cm b.8cm c.10cm d.12cm
Answer:
10
Step-by-step explanation:
it is Pythagoras theorem
6*6=36
8*8=64
64+36=100
square root of 100 is 10
I need help please i will do brainliest
Shawn wanted to model the number 13,450 using 13,450 using base-ten blocks how many large cubes, flats, and longs does he need to model the number
Answer:
13 cubes, 4 flats, 5 longs
Step-by-step explanation:
Base-ten is basically just analyzing the place values of each number in the given value.
A cube represents 1,000, a flat represents 100, and a long represents 10.
Looking at the number 13,450, we can see that there are 13 thousands in this (13,000). This means that we will need 13 cubes.
We can also see that there are 4 hundreds in this (400), meaning we need 4 flats.
Also, there are 5 tens in this (50), so we need 5 longs.
Hope this helped!
PLEASE help me with this question. This is really URGENT
Answer:
c. p(10)=26,327(1+0.024)^10
Step-by-step explanation:
its just the answer
Answer:
[tex]\boxed{\sf Option \ 3}[/tex]
Step-by-step explanation:
The problem is exponential growth.
[tex]a(1+r)^t[/tex]
[tex]a = \sf initial \ amount[/tex]
[tex]r = \sf rate[/tex]
[tex]t= \sf time[/tex]
The third option is right.
[tex]P(10)=26237(1+2.4\%)^{10}[/tex]
[tex]P(10)=26237(1+0.024)^{10}[/tex]
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.
Step-by-step Explanation:
The relationship between an intercepted arc and an inscribed angle is given as:
the measure of the intercepted arc = twice the inscribed angle that intercepts it.
Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.
Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.
Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."
