Answer: x = 3
Step-by-step explanation:
first, we calculate.
27 - 25x = -63 + 5x
then, we move the terms around.
-25x - 5x = -63 - 27
next, we collect the like terms.
-30x = -90
finally, we divide both sides.
x = 3
[tex]Write x^{2} -12x+19 in the form (x+a)^{2} +b[/tex]
Answer:
(x - 6)² - 17
Step-by-step explanation:
Given
x² - 12x + 19
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - 12x
= x² + 2(- 6)x + 36 - 36 + 19
= (x - 6)² - 17
12 batteries cost $30 = ? dollars per battery
Answer:
2.50
Step-by-step explanation:
You just divide 30 by 12... and that will give you the cost of one battery.
[tex] - 2x - 4y = 10 \\ 2x + 4y = - 10[/tex]
please find the point of intersection
Answer:
They are the same slope
Step-by-step explanation:
When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]
Drag the numbers to order them from least to greatest.
Find 9,528 ÷ 6. help pls dis due today and its ez D:
Answer:
1588
Step-by-step explanation:
ok I did this my self the answer is 1,588
What is the slope of the line in the graph
Find the measure of the missing angle.
32 a
Answer:
Soln,
32°+a=90°[right angled triangle]
or,a=90°-32°
or,a=58°
•°•a=58°
The measure of the missing angle is, a = 58 degree
Used the concept of complementary angle that states,
The sum of complementary angles is always equal to 90 degrees.
Given that,
There are two angles shown in the image.
From the given image,
Angle a and 32 are complementary angles.
Hence,
a + 32° = 90°
a = 90° -32°
Therefore, the missing angle is,
a = 58 degree
To learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ6
Edward spends £610 on a plane ticket and $180 on airport tax. Using £1 = $1.34, what percentage of the total cost does Edward spend on airport tax? Give your answer rounded to 1 dp.
Answer: 18.0%
Step-by-step explanation:
Given: Cost of plane ticket = £610 = $ 610 x 1.34 [ £1 = $1.34 ]
= $ 817.4
Airport tax = $180
Total cost = $(817.4+180)= $997.4
The percentage of the total cost does Edward spend on airport tax = [tex]\dfrac{180}{997.4}\times100\approx18.0\%[/tex]
Hence, the required answer = 18.0%
HELP ME PLS A Coast Guard boat is trying to reach a sailboat. Which are the coordinates of the location of the sailboat?
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels?
Answer: 50 calories
Step-by-step explanation:
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:
= 90/150 = 3/5
One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:
= 12/120 = 1/10
The fat that are provided by a 100 calorie serving of the microwave popcorn would be:
= 3/5 × 100
= 60
The fat that are provided by a 100-calorie serving of the pretzels would be:
= 1/10 × 100 = 10
The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:
= 60 - 10
= 50 calories
Simplify 3(u-3)-5u Please and thankyou
Answer:
Step-by-step explanation:
Answer:
-2u-9
Step-by-step explanation:
Simplify
3(u-3)-5u
first, distribute
3u-9-5u
-2u-9
Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the power of 10 close parentheses cubed 2 to the power of short dash 10 end exponent over denominator 2 to the power of short dash 7 end exponent end fraction
Answer:
2^27
Step-by-step explanation:
Given the following expression:
[(2^10)^3 x (2^-10)] ÷ 2^-7
This can be easily simplified. Let us simplify the numerator first. To do that, we have
(2^10)^3 making use of the power rule of indices that says:
(A^a)^b = A^ab where a and b are powers, we have:
2^(10x3) = 2^30
Therefore the numerator becomes:
2^30 x 2^-10. Also making use of the multiplication rule that says:
A^a x A^b = A^(a + b), we have
2^30 x 2^-10 = 2^(30 – 10) = 2^20.
Now we have:
(2^20) ÷ (2^-7)
To simplify this, we need the division rule of indices which says:
A^a ÷ A^b = A^(a – b)
Therefore we have:
(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27
Following are the solution to the given expression:
Given:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
To find:
value=?
Solution:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
Using formula:
[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]
Solve the equation:
[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]
Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".
Learn more:
brainly.com/question/1294040
Ella traveled at an average speed of 65 per hour for 2.5 hours and then traveled at an average speed of 60 miles per hour for 3.5 hours. What was the total distance in miles traveled by Ella? *
Answer:
372.5 miles
Step-by-step explanation:
First, find how many miles she traveled at 65 mph:
65(2.5)
= 162.5
Then, find how many she traveled at 60 mph:
60(3.5)
= 210
Add these together:
162.5 + 210
= 372.5
So, Ella traveled 372.5 miles in total
Select the quadratic expression that represents the product below.
(2x+5)(7-4x)
A. -8x2 - 6x + 35
B. -8x2 - 34x + 35
C. -8x2 + 34x - 35
D. -8x2 + 6x - 35
Assume there is a 50% chance of having a boy. Find the probability of
exactly two boys in three births.
Answer:
0.375
Step-by-step explanation:
Given that there is 50% chance of having a boy in a single birth.
Let it be represented by p, so
p=50%=0.5
According to Bernoulli's theorem, the probability of exactly r success in n trials is
[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]
where p is the probability of success.
So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is
[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]
As p=0.5, so
[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]
=0.375
Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.
Em de terminado dia, sofia voltava de sua casa 2h30min acima do horario que sua mãe determinou para sua própria segurança . Sabendo que o horário que sua mãe determinou foi as 20h, qual horário que ela estava voltando?
Responda:
22:30
Explicação passo a passo:
Dado que :
Hora definida pela mãe = 20h00
Número de horas além do tempo definido = 2 horas e 30 minutos
Hora em que ela voltou para casa:
(tempo definido pela mãe + número de horas além do tempo definido)
(20h + 2 horas e 30 minutos) = 22h30
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
A. -7
B. –3
C. 0
D. 4
Answer:
A) - 7
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Step-by-step explanation:
Explanation:-
Given that slope 'm' = -3 and point (0,-7)
The equation of the straight line passing through the point and having slope 'm'
y - y₁ = m ( x- x₁)
The equation of the straight line passing through the point ( 0,-7) and slope m = -3
y - (-7) = -3 ( x -0)
y +7 = -3x
3x +y + 7=0
The equation of the line 3x +y + 7=0
Final answer:-
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Someone help me ASAP thank you
Answer:
1/2
Step-by-step explanation:
sin
(
20
)
cos
(
10
)
+
cos
(
20
)
sin
(
10
)
Decimal Form:
0.5
Answer:
c or b please dont get mad if i get it wrong
Step-by-step explanation:
your welcome
Express V in terms of T
Answer:
v = [tex]\frac{4t-1}{3}[/tex]
Step-by-step explanation:
Given
t = [tex]\frac{3v+1}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4t = 3v + 1 ( subtract 1 from both sides )
4t - 1 = 3v ( divide both sides by 3 )
[tex]\frac{4t-1}{3}[/tex] = v
A) I sell one piece of wood for £1000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
B) I sell one piece of wood for £2000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
C) I sell one piece of wood for £1000, however the price has increased by 50% how much do I make from selling 64 pieces of wood?
A) £3264000.
. £1000 increased by 5000% =£51,000
. £51,000×64=£3264000
B) £6528000
. £2000 increased by 5000% =£102,000
. £102,000×64=£6528000
Step-by-step explanation
Simplify 4 (x3 – 3y2) – 2 (3x3 – 5y2)
[tex] \huge \bold{answer}[/tex]
A roll of nickels is worth $2.00. Write and solve an equation to determine the number of nickels in a roll.
(NEED TO SHOW WORK)
Answer:
Being that every nickel is worth 5 cents you would set the equation up as 17 * $0.10 = $1.70
Step-by-step explanation:
Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown. 4.2x + 3 + 5.7x – 2 + 5 – 2.6x 4.2x + 5.7x + 2.6x + 3 – 2 + 5 (4.2 + 5.7 + 2.6)x + 3 – 2 + 5 12.5x + 6 What was Renan's error in adding the expressions? He used the commutative property incorrectly. He used the distributive property incorrectly. He added incorrectly. He multiplied incorrectly.
Answer:
He used the commutative property incorrectly as he had no such addition of the property of any function to be done in sequence.
Answer:
He used the commutative property incorrectly. should be first answer good luck.
Step-by-step explanation:
7th grade math, please help. I’ve got an answer but I wanna make sure it’s right. Thanks.
Answer:
yes your right buddy
Step-by-step explanation:
Answer:
im in 9th and i still cant do this :(
Хеллльпппппп please ......
Answer:
B
Step-by-step explanation:
The buildings of a university are mapped on a coordinate grid with the origin being at library.
The Math building is located at the point (1, 5) and the History building is located at (4, 9).
How far is it from the Math building to the History building?
Applying the distance formula, the distance between the the Math building to the History building is: 5 units.
What is the Distance Formula?To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).Plug in the values into the distance formula:
d = √[(4−1)² + (9 − 5)²]
d = √[(3)² + (4)²]
d = √(9 + 16)
d = √25
d = 5
Distance between the the Math building to the History building is: 5 units.
Learn more about the distance formula on:
https://brainly.com/question/20978526
#SPJ1
PLZ HELP IM GIVING YOU 100 POINTS
solve for x
2 1/4 = 1 2/7 divided by x
Answer:
x = 4/7 or 0.571428571
Step-by-step explanation:
can someone plz help me with this?
Due in 11 minutes please help me ASAP
Answer: (d)
Step-by-step explanation:
Given
No of tickets sold can be given by the equation
[tex]35x-260>1000[/tex]
Solving inequality
adding 260 on both sides
[tex]35x-260+260>1000+260\\35x>1260[/tex]
Now, divide the inequality by 35
[tex]x>\frac{1260}{35}\\x>36[/tex]
Thus artist need to sell a minimum of 37 tickets to earn more than $1000
what's 9+10? divided by 900 x 890*92
Answer:
19
Step-by-step explanation: