Answer:
Add [tex]\frac{2}{3}[/tex] to both sides.
Step-by-step explanation:
[tex]x - \frac{2}{3} = \frac{5}{6}\\\\x - \frac{2}{3} + \frac{2}{3} = \frac{5}{6} + \frac{2}{3}\\\\x = \frac{3}{2}[/tex]
What is the length of line segment AB? The diagonal of rectangle ABCD measures 2 inches in length.
1 inch 60
[tex] \: \sqrt{3} inches \\[/tex]
4 inches
[tex] 4 \: \sqrt[]{3} [/tex]
Answer:
√3
Step-by-step explanation:
Triangle ABC is a special right triangle with angle measures of 30° 60° 90° and side length x 2x x√3
HELP ASAPP!!! PLEASEE!!!
Wien Remainders
There are 76 ounces of fluid in container A. This is about 8 times the amount of fluid in container B.
About how many ounces of fluid are there in container B?
What is the equation of the line that passes through the point (3,-5) and has a slope of 0
Answer:
The answer is
[tex] \huge y = 5[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3,-5) and slope 0
We have
[tex]y + 5 = 0(x - 3) \\ y + 5 = 0 \\ y = 5[/tex]
We have the final answer as
[tex]y = 5[/tex]
Hope this helps you
An aircraft carrier traveled to dry dock an back. The trip there took 2 hours and the trip back took 3 hours. It averaged 5 miles per hour faster on the trip there than on the return trip. Find the aircraft carrier's average speed on the outbound trip
Answer:
Step-by-step explanation:
Average speed = distance/time
Trip to dry dock
Let x be the velocity
Time = 2hours
Distance = average speed ×time
Distance = x×2
Distance = 2x
Return trip
Velocity = x-5 (5 miles per hour faster on the trip there than on the return trip)
Time = 3hrs
Distance = 3(x-5)
Since the distance is the same both to and fro;
2x = 3(x-5)
2x = 3x -15
2x-3x = -15
-x = 15
x = 15
Hence the aircraft carrier's average speed on the outbound trip is 15miles/hour
Solve −x+4y−28=0 for y .
Answer:
y= -x/4 +7
Step-by-step explanation:
x+4y−28=0
Subtract x from both sides. Anything subtracted from zero gives its negation.
4y−28=−x
Add 28 to both sides.
4y=−x+28
The equation is in standard form.
4y=28−x
Divide both sides by 4.
4y/4 = 28−x/4
Dividing by 4 undoes the multiplication by 4.
y= 28-x/4
Divide −x+28 by 4.
y= -x/4 +7
HOPE THIS HELPS! PLEASE MARK AS BRAINLIEST.
A scouting group eats 64 hot dogs on the first night of their camping trip. As they get tired of eating hot dogs, they eat only half as many as the night before. If the trip lasts 6 days, how many hot dogs do they eat in all?
Answer:
I believe your answer would be 126
Step-by-step explanation:
The math is quite simple, all you must do is divide over and over again. Then add
64/2= 32
32/2=16
16/2=8
8/2=4
4/2=2
Then add these up
64+32+16+8+4+2= 126
An object is moving at a speed of 5 kilometers every 4.5 hours. Express this speed miles per minute. Round your answer to the nearest hundredth. Someone please help me I’m struggling with this one
Answer:
speed is 0.01 miles per minute
Step-by-step explanation:
We know speed = distance/time
since we need speed in miles per minute we need to convert KM into miles
and hours in minutes
--------------------------------------------------------
distance = 5 km
1 km = 0.621371 miles
5KM = 5*0.621371 miles = 3.10686 miles = 3.12 miles(rounded to nearest hundredth)
1 hour = 60 minutes
4.5 hours = 4.5*60 minutes = 270 minutes
speed = distance in KM/time in minutes = 3.12 miles/270 minutes
speed = 0.012 miles per minute
rounding the answer to the nearest hundredth
speed is 0.01 miles per minute
victor Donates $25 each month to a children's Charity and Donates a bounus 100$
Answer:
he donates 125
Step-by-step explanation:
Find the slope and the y intercept for the equation below 2x+y=7
Answer:
the slope is 2
y- intercept is 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) Isolate y:
y=-2x+7
2) Identify the slope (it is the coefficient of x after isolating y):
slope=-2
3) Replace x=0 to find the y intercept:
y=-2(0)+7=7.
How much will Molly’s monthly payment be using the Bankrate calculator?.
Molly’s monthly payment by using the Bankrate calculator is $286 per month.
It is given that
The downpayment Molly has = $2500.
Interest rate APR = 1.9%
Cash allowance by dealer = $500
Selling price = $25,495
Loan tenure N= 7 years
Amount of loan needed = 25495-2500-500 = $22495
What is Equated monthly payment(EMI)?An equated monthly installment (EMI) is a set monthly payment provided by a borrower to a creditor on a set day, each month.
The EMI or monthly payment will be calculated by the following formula,
[tex]EMI = \frac{P.\frac{APR}{12} .(1+\frac{APR}{12})^N }{(1+\frac{APR}{12})^N-1 }[/tex]
Put APR =0.019(decimal value of APR)
N = 7
EMI = $286 per month.
Therefore, Molly’s monthly payment by using the Bankrate calculator is $286 per month.
To get more about EMI visit:
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Which set of shapes contains members that are always similar to one another?.
how to convert 0,3 to a common fraction .
Answer:
1/3
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answer: 52
Step-by-step explanation:
Hank has picked 1.3 pounds of berries and picks about 75 pounds per minute. Tom has picked
2.5 pounds of berries and picks about 5 pounds per minute. In how many minutes will Hank have
picked at least as many pounds of berries as Tom?
Answer:
x=4.6
Step-by-step explanation:
take the numbers and add them all together then divide them by 3
Complete this item.
Identify 1 and 2. Select all that apply of the following terms:
complementary
supplementary
acute
adjacent
right
obtuse
vertical
Answer:
Given: An Angle in the figure is right angle. Its measure = 90°
So,
∠2 = 90° ( vertically opposite angles are equal )
∠1 + ∠2 = 180° ( Linear Pair )
∠1 = 180 - 90
∠1 = 90°
So, ∠1 and ∠2 are
Right angles because measure of both angles are 90°.
Adjacent angles because both a common arm and a common vertex.
Supplementary angles because sum of both angles is 180°.
Step-by-step explanation:
can someone show me how to do this
Answer:
7 (i think i dont really know)
Step-by-step explanation:
you can kinda just estimate it (when its the middle) to half
if you dont know the middle, then you just have to first
minus the numbers
than find half of that number
Claire is planning on becoming a member at the gym down the street from her house. They charge a $60 sign-up fee and an additional $8 per month. Write a linear equation y=mx+b to represent this situation, using x to respresent the number of months and y to represent the total cost of her membership.
Answer:
The linear equation is y = 8x + 60
Step-by-step explanation:
the slope-intercept form of the linear equation is
y = m x + b, where
m is the slope of the line (the rate)b is the y-intercept (the fixed amount)∵ Claire charge a $60 sign-up fee
→ This means it is a fixed amount for a sign-up
∴ b = 60
∵ There is an additional $8 per month
→ This means it is the rate
∴ m = 8
∵ y represents the total cost of her membership in x months
→ Represent this situation by the form of the linear equation above
∴ y = 8x + 60
∴ The linear equation is y = 8x + 60
Rewrite the expression in a to the power of n form
Answer:
[tex]a^{-7}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{a^{-13} }{a^{-6} }[/tex]
= [tex]a^{(-13-(-6))}[/tex]
= [tex]a^{(-13+6)}[/tex]
= [tex]a^{-7}[/tex]
Answer:
[tex]a^-7[/tex]
Step-by-step explanation:
[tex]\frac{a^m}{a^n}=a^{(m-n)}, then[/tex]
[tex]\frac{a^{-13} }{a^{-6} }[/tex]
[tex]=a^{(-13-(-6))}[/tex]
[tex]=a^{(-13+6)}[/tex]
[tex]=a^{-7}[/tex]
Which of the equations shown have infinitely many solutions? Select all that apply.
Answer:
Where is the answer choices?
Step-by-step explanation:
Answer:
A, B, D
Step-by-step explanation:
how to solve Simplify (4x - 5) - (3x - 10).
Answer:
[tex]x+5[/tex]
Step-by-step explanation:
[tex]\left(4x-5\right)-\left(3x-10\right)[/tex]
[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]
[tex]\left(4x-5\right)=4x-5[/tex]
[tex]=4x-5-\left(3x-10\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]
[tex]-\left(3x-10\right)=-3x+10[/tex]
[tex]=4x-5-3x+10[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=4x-3x-5+10[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-5+10=5[/tex]
[tex]=4x-3x+5[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:4x-3x=x[/tex]
[tex]=x+5[/tex]
Teddy is preparing to sell some wooden blocks at a garage sale. Before pricing individual bags of blocks, he decides to determine the approximate number of blocks per pound by researching the weights of different sets of blocks. The graph shows his data. A graph shows weight of set (pounds) labeled 0. 5 to 5 on the horizontal axis and number of blocks on the vertical axis. A line increases from 0 to 5. 5. About how many blocks are there per pound? Round to the nearest block. 10 20 30 40.
Slope is also known as the gradient of a line. The number of blocks that Teddy is weighing is 20 blocks per pound.
What is the Slope of a line?
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line. It also tells us the rate between the two given quantities.
As the graph is given to us and we need to find the number of blocks teddy is putting per pound, therefore, we need to calculate the rate of the graph also known as the slope of the graph, therefore, using any of the two points to calculate the slope of the graph,
[tex]{\rm Point1} : (x_1, y_1) = (0, 0)\\\\{\rm Point2} : (x_2, y_2) = (5, 100)[/tex]
We know that the slope of the line is given as,
[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values,
[tex]\text{Slope of the line} = \dfrac{100-0}{5-0} = \dfrac{100}{5}=20[/tex]
Hence, the number of blocks that Teddy is weighing is 20 blocks per pound.
Learn more about Slope:
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Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 58.00 ounces. One bag of cereal weighs 20.05 ounces, the other weighs 18.65 ounces. How much does the box weigh?
Answer:
add the amount of the bags. you will end up with 38.70 Oz. the subtract the number from the total and you ger 19.30 Oz. the box weighs 19.30 oz.
Price is $45.50 Sales Tax is 6% What is the total cost? *
Answer: $48.23
Step-by-step explanation:
The sales tax would be $2.73
Answer:
$ 48.23
Step-by-step explanation:
Lmk if its correct <3 Hope my answer helped, and have an amazing day :)
(8x-14)° (5y+16)° (5x+34)° Write the equation to solve for x
Answer:
The equation to solve for x is 8x - 14 = 5x + 34
The value of x is 16
Step-by-step explanation:
Let us use the angles between the parallel lines to find x
∵ Lines l and m are parallel
∴ ∠(8x - 14)° and ∠(5x + 34)° are alternate exterior angles
∵ The alternate exterior angles are congruent
∴ ∠(8x - 14)° ≅ ∠(5x + 34)°
→ Equate them
∴ 8x - 14 = 5x + 34
∴ The equation to solve for x is 8x - 14 = 5x + 34
Let us solve it to find x
∵ 8x - 14 = 5x + 34
→ Subtract 5x from both sides
∵ 8x - 5x - 14 = 5x - 5x + 34
∴ 3x - 14 = 34
→ Add 14 to both sides
∴ 3x - 14 + 14 = 34 + 14
∴ 3x = 48
→ Divide both sides by 3 to find x
∴ [tex]\frac{3x}{3}=\frac{48}{3}[/tex]
∴ x = 16
∴ The value of x is 16
Guys I need help on this !
Answer:
it is parallel
Step-by-step explanation:
Nicole ordered a volleyball for $9.75, a net for $29.99, and knee pads for $15.00. Nicoles mother said that she would pay for the order on her credit card if Nicole gave her the money. Nicole gave her mother $40.00. Her mother also applied the money that she owed Nicole for babysitting. Nicoles mother then gave her back $5.26. How much did Nicoles mother owe Her for babysitting?
Answer:
$9.48Step-by-step explanation:
The total amount for the order is
$9.75+$29.99+ $15.00=$54.74
let the money her mother owes her be x
so summing all the amount plus the balance given to her must equal $54.74
so x+40+5.26=54.74
solving fo x we have
x+45.26=54.74
make x subject of formula we habe
x=54.74-45.26
x=9.48
Nicoles mother owe Her $9.48for babysitting
god bless u Step-by-step explanation:
Solve and write your answer as a fraction
Answer:
98/5 = 19 3/5
72/2 = 36
58/9 = 6 4/9
82/7 = 11 5/7
An adult male blue whale weighs about 160 tons (1 ton = 1,000 kg). Show that the weight of an adult blue whale is equal to 1.6 × 105 kg.
Answer:
Step-by-step explanation:
1.6x10^5=160,000; 160x1000=160,000
Does anyone know this?