Step-by-step explanation:
[5×(13-8)]+12÷6
= [5×5]+(12÷6)
= 25 + 2
= 27
The simplified form of the expression {5 × (13 − 8)}+ 12 ÷ 6 is 27
Given:
{5 × (13 − 8)} + 12 ÷ 6
following the rule of BODMAS
B = bracketO = ofD = divisionM = multiplicationA = additionS = subtraction{5 × (13 − 8)} + 12 ÷ 6
= {5 × (5)} + 12 ÷ 6
= 25 + 2
= 27
Therefore, the simplified form of the expression {5 × (13 − 8)}+ 12 ÷ 6 is 27
Learn more about simplification:
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The height of a triangular sail is 2 meters less
than twice the length of the base. If the sail
has an area of 30 square meters, find the
length of its base and the height.
Pleas provide quadratic Formula
Answer:
Step-by-step explanation:
Area=1/2(bh)
b=x
height=2x-2, units meters
30=(1/2)bh
60=bh=x(2x-2)
2x^2-2x=60
2x^2-2x-60=0
x^2-x-30=0
(x-6)(x+5)=30
x=6 as only positive root.
2x-2=10
Their product is 60 m^2, half of which is 30 m^2
The base is 6 m; the height is 10 m.
-14-7(9v+3)=13v+41
Answer:
v=−1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−14−7(9v+3)=13v+41
−14+(−7)(9v)+(−7)(3)=13v+41(Distribute)
−14+−63v+−21=13v+41
(−63v)+(−14+−21)=13v+41(Combine Like Terms)
−63v+−35=13v+41
−63v−35=13v+41
Step 2: Subtract 13v from both sides.
−63v−35−13v=13v+41−13v
−76v−35=41
Step 3: Add 35 to both sides.
−76v−35+35=41+35
−76v=76
Step 4: Divide both sides by -76.
−76v
−76
=
76
−76
v=−1
Answer:
v = 12.67
95% sure... I could be wrong, though.
Step-by-step explanation:
14-7(9v+3)=13v+41
-14-63v-21=13v+41
-14-21=76v
6=76v
12.67=v
Use the distance formula to find the distance between each pair of points. Round your answers to the nearest hundredths place W (-3,-5) and T (2,-2)
Answer:
The answer is
5.83 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
W (-3,-5) and T (2,-2)
The distance between them is
[tex] |WT| = \sqrt{ ({ - 3 - 2})^{2} + ( { - 5 + 2})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 3})^{2} } \: \: \: \\ = \sqrt{25 + 9} \\ = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.830951[/tex]
We have the final answer as
5.83 units to the nearest hundredthHope this helps you
Answer:
√34
Step-by-step explanation:
[tex]W (-3,-5) =(x_1,y_1)\\T (2,-2)=(x_2,y_2)\\\\d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(2-\left(-3\right)\right)^2+\left(-2-\left(-5\right)\right)^2}\\\\d=\sqrt{\left(2+3\right)^2+\left(-2+5\right)^2}\\\\d=\sqrt{5^2+3^2}\\\\d=\sqrt{25+9}\\\\d=\sqrt{34}[/tex]
(HELP ASAP) In basketball tournament, Kayla averaged 12.375 rebounds per game. What is 12.375 written in expanded form?
find AB. i’m literally so dumb i don’t know math
Step-by-step explanation:
AC = AB + BC
25x - 19 = 9x + 7 + 5x + 7
25x - 19 = 14x + 14
25x - 14x = 14 + 19
11x = 33
x = 33/11
x = 3
AB = 9x + 7
= 9(3) + 7
= 27 + 7
= 34
Multiply the binomials:
(x + 2) • (3x + 1)
Answer:
Step-by-step explanation:
3x^2 + x + 6x + 2
3x^2 + 7x + 2
Answer:
3x^2 + 7x + 2
Step-by-step explanation:
(x+2) (3x+1)
(x+2) (3x) + (x+2) (1)
3x^2+ 6x + x + 2
3x^2 + 7x + 2
(2,-1) and (4,0) in slope-intercept form
Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (4, 0)
m = [tex]\frac{0+1}{4-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 0 ), then
0 = 2 + c ⇒ c = 0 - 2 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
Please HELP URGENT! Will give brainliest!!
Answer:
1/3 ( 5y-2) = x
Step-by-step explanation:
5y = 3x+2
Subtract 2 from each side
5y -2 = 3x+2-2
5y-2 = 3x
Divide each side by 3
1/3 ( 5y-2) = 3x/3
1/3 ( 5y-2) = x
Solve the system of equations.
2y - 3x = -27
5y + 3r = 6
X= ?
Y= ?
Answer:
y = -3 x = 7
Step-by-step explanation:
2y - 3x = -27
5y + 3x = 6
3x cancels.
7y = -21
y = -3
Substitute y in 2y - 3x = -27
2(-3) - 3x = -27
-6 - 3x = -27
-3x = -21
x = 7
what is the the highest common factor of -15x^2 -20x
Answer:
-5x
Step-by-step explanation:
How many ink cartridges can you buy with 150 dollars if one cartridge costs 15 dollars ?
Answer:
10
Step-by-step explanation:
Very easy equation if you know how to do it. All you need to do is divide your total amount of something (in this case "150" as that's our amount of "money we're given") by whatever the price or amount is. (In this case 15. Each cartridge costs $15. I'm not amazing at explaining things like this.. Sorry about that. If you have any questions about this feel free to let me know!)
So to put it "all together":
150 ÷ 15 = 10.
10 is your answer.
Hope this helps and have a nice day!
HELP!!!!
Help me please !!!!
Answer:
I think the answer is C but i'm not an expert with this so sorry if you get it wrong :(
Step-by-step explanation:
Answer:
I think is c but I'm not really sure
PLZ HELP QUESTION IN PICTURE!!
Answer:
see attached
Step-by-step explanation:
Each spot in the triangle is the sum of the two numbers immediately above. The middle number of row 2 will be 1+1 = 2. The two numbers in row 3 will be 1+2 = 3 and 2+1 = 3. It continues like this. The second number in each row is the row number. Each row is symmetrical about the center.
The situation that is best modeled by a discrete graph is the daily records of the distance of each hotel from home during a cross-country trip. the height of a wave over time. the speed of a motorcycle over the distance it travels. the body temperature of an athlete during a workout.
Answer:A
Step-by-step explanation: the other dude is wrong
and if im right mark me brainiest
The best modeled by a discrete graph is body temperature of an athlete during a workout.
The correct option is (D)
What is Discrete graph?A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.
A continuous graph has a line because there is data in between the points already given.
So, according to the condition the best modeled discrete graph is body temperature of an athlete during a workout.
This is because for the body temperature measure, we only need to measure it once in a while.
Learn more about graph here:
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#SPJ2
2. Mourette is a member of her high school golf team. She hits a golf ball
off the ground with an initial upward velocity of 60 meters per second.
a. Write a formula describing the height h of the ball (in meters)
after t seconds.
b. After how many seconds, to the nearest tenth, will the
golf ball land on the ground?
c. What is the maximum height the golf ball reaches?
please help!
Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
lowkey need help for studying--- can someone explain why these are correct? specifically the first one...like why is it the less than sign and not less than or equal to?
May someone please answer this question fast? :3
Answer:
3*3*3*3*3
Step-by-step explanation:
exponents are how many times a number is multipleid by iteself
Answer:
3*3*3*3*3 = 243
Jenny drove 660 miles in 12 hours at the same rate how long would it take her to drive 385 miles
Answer:
7 hours
Step-by-step explanation:
In the 21st century, people measure length in feet and meters. At various points in
history, people measured length in hands, cubits, and paces. There are 9 hands in 2
cubits. There are 5 cubits in 3 paces.
a. Write an equation to express the relationship between hands, h, and cubits, c.
b. Write an equation to express the relationship between hands, h, and paces, p.
Answer:
The answer to b is 22.5 hands is 3 paces
Step-by-step explanation:
I did it because nobody else would
We want to find equations for changes of units, which allow us to change the units of a given measure to an equivalent value.
a) [tex]C = H*\frac{2c} {9h}[/tex]
b) [tex]P = H*\frac{6p}{45h}[/tex]
--------------------------------
We know two relations:
9 hands = 2 cubits.5 cubits = 3 paces.a) We want to find an equation to express the relationship between hands, h, and cubits, c.
Let's start with the relation:
9 hands = 2 cubits
we can rewrite:
[tex]1 = (2 c)/(9 h)[/tex]
Now suppose that we have a measure in hands, H.
If we multiply this measure by 1, we do not affect the measure, then we have:
[tex]H = H*1 = H*\frac{2c}{9h}[/tex]
Notice that we are dividing by hands, so we are cancelling the hands units, and we are multiplying by cubits, so we changed the units.
Then we can define C as the equivalent measure to H, such that C is in cubits.
[tex]C = H*\frac{2c}{9h}[/tex]
b) Similar to before.
Again, let's use H as a measure in hands.
With the relation:
[tex]C = H*\frac{2c}{9h}[/tex]
We change from hands to cubits.
Now with:
5 cubits = 3 paces.
We can write:
1 = 3p/5c
If we multiply our measure in cubits by the above fraction, we can change the units from cubits to paces, so we will have that P, the equivalent measure to H in paces is given by:
[tex]P = C*\frac{3p}{5c} = H*\frac{2c}{9h}*\frac{3p}{5c}= H*\frac{6p}{45h}\\\\P = H*\frac{6p}{45h}[/tex]
If you want to learn more, you can read:
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If (44)x = 432, what is the value of x?
04
07
O 8
O 28
Answer: x = 9.8181......
Step-by-step explanation:
(44)x =432
Take out Parentheses:
44x = 432
Divide both sides by 44:
x = 9.8181......
in 30 minutes a shark can swim 4000 feet. About how fast in miles per hour does the shark swim?
Answer:1.515152
Step-by-step explanation:
1000/30 = 133.3 per min
133.3x60
=8000ft to miles
=1.515152 mph
4 27/125 write it as a decimal and use repeating decimals if necessary
8x^3y^3(10x^5)= Having trouble getting the answer I keep getting it wrong Pls Help me!
Answer:
80x⁸y³ is your answer. Hope it helps <3
10 POINTS A rectangular window has a width of 12 ft and a length of x ft. Which expression represents the perimeter of the window?
x+12
2x+12
2(x+24)
2x+24
10
The total cost of renting a boat is determined by the number of days a boat is rented,
at $55 per hour, and the number of miles it is driven, at $0.10 per mile. The company
uses the expression 55% +0.10y to evaluate the total cost of renting a boat. What does
the variable y represent?
A the total number of hours rented
B the total number of miles driven
the total amount charged per rental hour
D the total amount charged per mile driven
<
Answer:
B
Step-by-step explanation:
Caleb and Sarah are having a Halloween
party. They have pounds of candy to divide
into 16 goodie bags. How much candy will be in
each bag?
Answer:
8 ig
Step-by-step explanation:
u didnt tell us how much pounds they have
An photo studio is going to display a portrait in their lobby. The portrait is being reproduced from a photo with dimensions 6 inches by 3 inches. If the dimensions of the portrait in the lobby are 20 times the dimensions of the original photo, determine the area of the portrait in square feet.
a.
7,200 ft2
b.
50 ft
c.
300 ft
d.
200 ft
Answer:
300ft
Step-by-step explanation:
Select the correct answer.
Rewrite the polynomial 6x4 + 24x3 - 72x2 by factoring out the GCF.
6x2(x2 + 4x - 12)
6x2(x3 + 6x - 12)
6x(x² + 4x - 12)
6x(x3 + 6x - 12)
Answer:
C. 6x(x² + 4x - 12)
Step-by-step explanation:
Factor [tex]6x^{2}[/tex] out of [tex]6x^{4}[/tex]
[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] + [tex]24x^{3} - 72x^{2}[/tex]
[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) [tex]-72x^{2}[/tex]
[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) + [tex]6x^2[/tex] (-12)
[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex]) + [tex]6x^{2}[/tex] (-12)
[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex] - 12 )
Answer to this question
1-x=16-4x EXPLAIN IN NUMBER FORM NOO WORDS
Answer:
x = 5
Step-by-step explanation:
1-x+4x=16
1 + 3x = 16
3x = 16 - 1
3x = 15
3x/3 = 15/3
x = 15/3
x = 5