Answer:
18
Step-by-step explanation:
Since it's an add 3 rule, you need to add 3 to 15
3+15=18
Use the Pythagorean Theorem to find the whole number estimate of the unknown side of the right triangle shown below.
A:3
B 10
C 9
D 4
Answer:
Option C.Step-by-step explanation:
This is Right Angled Triangle.So,
We'll solve this using the Pythagorean Theorem.
Let
6cm be BC, where BC is the perpendicular.7cm be AB, where AB is the Base. AC be the Hypotenuse.We know that,
[tex]{ \longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = (7) {}^{2} +( 6) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 49 +36 }[/tex]
[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 85 }[/tex]
[tex]{ \longrightarrow \sf \qquad AC = \sqrt{85} }[/tex]
[tex]{ \longrightarrow \sf \qquad AC \approx 9.21 }[/tex]
⠀
Therefore,
The length of the unknown side is 9 cm. (Estimated)Find the volume of a rectangular prism with a base of area B=x^2+5x+4 in^2 and a height of h=x+3 in.
I will give Brainliest.
Please help
The volume of the rectangular prism is the amount of space in the prism
The volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
How to determine the volume?The given parameters are:
Base area = x^2+5x+4
Height = x + 3
The volume is then calculated as:
Volume = Base area * Height
So, we have:
Volume = (x^2+5x+4) * (x + 3)
Expand
Volume = x^3+5x^2+4x + 3x^2+15x+12
Collect like terms
Volume = x^3+5x^2+ 3x^2+4x +15x+12
Evaluate the sum
Volume = x^3+8x^2+19x+12
Hence, the volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
Read more about volumes at:
https://brainly.com/question/10171109
Gail found a pair of jeans for $48.00. She got an additional 20% off. How much money did Gail save on the jeans?
what price did Gail pay for the jeans not including the tax
the tax is 5% someone please help me
Answer:
The total of the jeans is $40.80
She save $7.20
Step-by-step explanation:
The tax is 2.40
The sale took off 9.60
SO 48.0 + 2.40 - 9.60 = 40.80
pls mark brainliest
Which statement correctly describes the expression (-60)(-5)?
A. One factor is positive and one factor is negative, so the product
will be positive.
B. Both factors are negative, so the product will be positive.
C. One factor is positive and one factor is negative, so the product
will be negative.
D. Both factors are negative, so the product will be negative.
Answer:
If you're multiplying then the answer would be B.
Step-by-step explanation:
If you multiply two negative numbers, your product would be positive.
If you multiply 1 positive and 1 negative then your product will be negative.
P = 215(1.005)t/3
The equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?
(A) 3 (B) 4 (C) 12 (D) 36
Answer:
(D) 36
Step-by-step explanation:
0.5% = 0.5/100 = 0.005
It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.
In the equation P = 215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.
t/3 = 1
t = 3 years
Convert years to months.
n = 3 ⋅ 12 months
n = 36 months
The correct option is D.
Thanks!
Mark me brainliest!
Answer:
36
Step-by-step explanation:
Because t/3 means that 0.5% every 3 years. n will be 3 years which is 36 months
Molly Ellen, bookkeeper for Keystone Company, forgot to send in the payroll taxes due on April 15. She sent the payment November 8. The IRS sent her a penalty charge of 10.80% simple interest on the unpaid taxes of $5,600. Calculate the penalty. (Remember that the government uses exact interest.) (Use Days in a year table) (Do not round intermediate calculations. Round your answer to the nearest cent.)
Answer:
$342.99Step-by-step explanation:
GivenPenalty charge = 10.80% simpleInterest amount = $5600Period = April 15 to November 8To findAmount of penaltySolutionFormula
Penalty = Interest amount*penalty charge*timeTime period
April 15 = 105November 8 = 322Difference = 322 - 105 = 207 daysCalculation of penalty
$5600*0.108*207/365 = $342.99how to do simplest form
Step-by-step explanation:
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).
[tex]enjoy yourday[/tex] [tex]hopethishelps[/tex]
Answer:you decide by a number both of the numbers can be devised by like say it’s 8 the number will be 2 (also when you get the nooses to number you can get u stop
Step-by-step explanation:
whats the distance between -17 and 12
Answer:
the answer is thirty three
pls i need help ASAP PLS
g(x)=8x. then g(x) isSingle choice.
Answer:
X=0
Step-by-step explanation:
Swap the side of the equation
8x=0 then divide both sides by eight
x=0
Can anyone help me on this?
Answer:
A
Step-by-step explanation:
We know that this is the same as substituting a for x and multiplying the entire expression by -1.
[tex]f(a) = \frac{2a}{a - 1} [/tex]
[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]
please help me please
Answer:
See below.
Step-by-step explanation:
1. 3 * 15 + 4 * 15 - 5 * 15
45 + 60 - 75
105 - 75
30
2. 3x + 4x - 5x
7x - 5x
2x
3. 3(x-2) + 4(x-2) - 5(x-2)
3x - 6 + 4x - 8 - 5x + 10
2x - 4
4. (I'm not typing that out)
7.5x + 19.5 + 10x + 26 - 12.5x - 32.5
5x+13
-hope it helps
one number is three times another number, and their sum is -10. what is the smaller of the two numbers?
Let the smaller number be x .
Then the larger number = 3x
Their sum = -10
This can be written in an equation as :-
[tex]x + 3x = - 10[/tex]
[tex]4x = - 10[/tex]
[tex]x = \frac{ - 10}{ \: \: \: 4} [/tex]
[tex]x = - 2.5[/tex]
Which means :-
The value of the first number = -2.5
The value of the second number = -2.5 × 3 = -7.5
Therefore , the smaller of the two numbers is = -7.5
Answer:
let a + b = -10
where a = 3b
substitute a into the equation: a + b = -10
3b + b = -10
b = -10 / 4
b = -2.5
a = 3b
a = 3(-2.5)
a = -7.5
check:
a + b = -10
-7.5 + (-2.5) = 10
-10 = 10
Find the equation of the tangent line to the curve y= 2x2 + x-1 at the point (5, 54).
Answer: y-54=21(x-5) or y=21x-51
Step-by-step explanation:
To find the equation of the tangent line, we first want to find the derivative of the equation.
f(x)=2x²+x-1 [Power Rule]
f'(x)=4x+1
Now that we have the derivative, we use (5,54) to find the slope.
f'(5)=4(5)+1 [multiply]
f'(5)=20+1 [add]
f'(5)=21
With our slope, we can plug it into point-slope form.
y-54=21(x-5)
We can also convert this to slope-intercept form.
y-54=21(x-5) [distribute]
y-54=21x-105 [add both sides by 54]
y=21x-51
Now, we know the tangent line is y-54=21(x-5) or y=21x-51.
Granola costs $3.25 per pound. Raisins cost $6.50 per pound. How many pounds of raisins can be mixed with 10 pounds of granola to make a mixture that is $4.00 per pound? pls do this immediately
You multiply (*) the pounds cost by the [tex]10[/tex] pounds when you get that amount you divide it by the cost of granola per pound that will give you [tex]4[/tex] dollars per pound.
Hope it helped!
[tex]\huge\boxed{Thanks,\;Plip.}[/tex]
We want to find and solve an equation that tells us the number of pounds of raisins that we need to add to a mixture to get to a desired price.
We will see that we need to add 3 pounds of raisins.
We know that:
Granola costs $3.25 per lbRaisins cost $6.50 per lb.If we mix M pounds of raisins with 10 pounds of granola, the total mass will be:
M + 10
The price of this will be:
M*$6.50 + (10)*$3.25
And we want the price of this mixture to e $4.00 per pound, then we have:
M*$6.50 + (10)*$3.25 = (M + 10)*$4.00
Now we need to solve the above equation for M.
M*$6.50 + $32.50 = M*$4.00 + $40.00
M*$6.50 - M*$4.00 = $40.00 - $32.50
M*($6.50 - $4.00) = $7.50
M*$2.50 = $7.50
M = ($7.50)/($2.50) = 3
M = 3
This means that we need to add 3 pounds of raisins.
If you want to learn more, you can read:
https://brainly.com/question/12420847
*URGENT*
Find the Equation of the line that contains the point (-2,-8) and is parallel to the line 6x + 5y = 11. Write the equation in slope-intercept form.
Point :
Parallel lines have same slopes.
_________________________________
[tex]6x + 5y = 11[/tex]
Subtract sides -6x
[tex] - 6x + 6x + 5y = - 6x + 11[/tex]
[tex]5y = - 6x + 11[/tex]
Divided sides by 5
[tex] \frac{5}{5}y = \frac{ - 6}{5}x + \frac{11}{5} \\ [/tex]
[tex]y = - \frac{6}{5}x + \frac{11}{5} \\ [/tex]
Look :
This is the slope-intercept of the given line. We know that the coefficient of x is the slope of the linear functions in slope-intercept form.
Thus the slope of the line which we want is :
[tex]slope = - \frac{6}{5} \\ [/tex]
_________________________________
We have following equation to find the point-slope form of the linear functions.
[tex]y - y(given \: point) = (slope) \times (x - x(g \: p) \: ) \\ [/tex]
Now just need to put the slope and the coordinates in the above equation.
[tex]y - ( - 8) = - \frac{6}{5} \times (x - ( - 2) \: ) \\ [/tex]
[tex]y + 8 = - \frac{6}{5}(x + 2) \\ [/tex]
To find the slope-intercept form of the above equation we need to take the y alone and then simplifies the equation.
Look :
[tex]y + 8 = - \frac{6}{5}x - \frac{12}{5} \\ [/tex]
Subtract sides by -8
[tex]y + 8 - 8 = - \frac{6}{5}x - \frac{12}{5} - 8 \\ [/tex]
[tex]y = - \frac{6}{5}x - \frac{12}{5} - \frac{40}{5} \\ [/tex]
[tex]y = - \frac{6}{5}x - \frac{52}{5} \\ [/tex]
This is what we want...
_________________________________
Now we must Check the equation by using the given point :
[tex]( - 8) = - \frac{6}{5}( - 2) - \frac{52}{5} \\ [/tex]
[tex] - 8 = \frac{12}{5} - \frac{52}{5} \\ [/tex]
[tex] - 8 = \frac{ - 52 + 12}{5} \\ [/tex]
[tex] - 8 = \frac{ - 40}{5} \\ [/tex]
[tex] - 8 = - 8[/tex]
So the equation is right.
_________________________________
And we're done.♥️♥️♥️♥️♥️
What does AB congruent symbol CD mean? AB and CD here have lines over them How is it different than AB=CD?
Answer:
Suppose that we have two line segments, AB and CD. We know that they have the same length.
I know that AB¯¯¯¯¯¯¯¯=CD¯¯¯¯¯¯¯¯ means AB is identical to CD (aka. They are the same lines), and also that AB¯¯¯¯¯¯¯¯≅CD¯¯¯¯¯¯¯¯ means that AB and CD have the same size, but what does AB=CD mean?
Step-by-step explanation:
Write a
compound inequality for the following scenario:
The scores on the last test ranged from 71% to 95%
Hurry up please
Answer: [tex]0.71 \le x \le 0.95[/tex]
Work Shown:
71% = 71/100 = 0.71
95% = 95/100 = 0.95
x represents the possible values of the scores. The compound inequality above shows that x is between 0.71 and 0.95, including both endpoints. Note the use of "or equal to" as part of each inequality sign.
What is the equation of the line that is parallel to the line defined by the equation y = 2x + 4 and goes through the point (3, 2)?
Step-by-step explanation:
Hey there!
Given;
y = 2x + 4..........(i)
The point is; (3,2). The equation of line which passes through this point is;
(y-y1) = m2(x-x1)
(y-2)= m2(x-3)........(ii)
From equation (i).
y = 2x+4
Comparing the equation with y = mx+c, we get;
Slope (m1)= 2
As per the condition of parallel lines, (m1=m2).
Therefore, m2= 2.
Now, keeping the slope of m1 in eqaution (ii)
(y-2)= 2(x-3)
y - 2 = 2x - 6
y = 2x -4
Therefore, the equation is y = 2x - 4.
Hope it helps...
helpoppppollpppppppppppppppppppppp
Answer:
Given:
1 mile = 1.6 km
So, to find how many miles are in 100 km, we need to divide 100km by 1.6km because one single mile contains 1.6km.
100km/1.6km = 62.5 miles
Which expression is equivalent to 2x + 4(x + 1)?
3x + 1
3x + 4
6x + 1
6x + 4
Step-by-step explanation:
2x + 4(x + 1) = 2x + 4x + 4 = 6x + 4
Answer:
[tex]6x+4[/tex]
Step-by-step explanation:
[tex]2x+4\left(x+1\right)[/tex]
[tex]Expand\;4(x+1):4x+4[/tex]
[tex]=2x+4x+4[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:2x+4x=6x[/tex]
[tex]=6x+4[/tex]
Hence, 6x+4 expression is equivalent to 2x+4(x+1)
~Lenvy~
This figure represents a platform in an auditorium. The crew needs to paint it green. One gallon of paint will cover 40 square yards. How many full gallons of paint does the crew need to buy in order to paint the entire platform? Enter your answer in the box. gallons Complex solid composed of rectangular prisms in an L shape. The bottom face is labeled with a length of 7 yd and a width of 3 yd. The height of the shorter side of the L shape is labeled 2 yd. The height between the shorter side and taller side of the L shape is labeled 4 yd. The width of the taller section of the L shape is labeled 2 yd.
Step-by-step explanation:
1 yd = 3 ft
1 yd² = 2ft²
1 gallon covers: 15 · 9 = 135 ft²
955 : 135 ≈ 7.074 gal
7.1 gallons
# Jerry Don is here#
The quantity of paint required to paint the platform is 3 gallons.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.
Given that the attached figure represents a platform in an auditorium. The crew needs to paint it green. One gallon of paint will cover 40 square yards. One gallon of paint will cover 40 square yards.
The area of the platform is,
Area = (3x2) + 2 ( 7x 2 ) + ( 4 x 2 )2 + 3(6) + ( 5 x 3 ) + ( 4 x 3 ) + ( 2 x 3 ) + ( 7 x 3 )
Area = 6 + 28 + 16 + 18 + 15 + 12 + 6 + 21
Area = 122 square yards.
The quantity of paint required will be calculated as,
Q = 122 / 40
Q = 3 gallons
Therefore, the quantity of paint is 3 gallons.
To know more about an area follow:
https://brainly.com/question/27096831
#SPJ3
Which fraction is NOT equivalent to 1/3?
2/6
3/10
4/12
5/15
Answer:
3/10
Step-by-step explanation:
2/6 is 1/3 x 2/2
4/12 is 1/3 x 4/4
5/15 is 1/3 x 5/5
but 3/10 is 1/3 x 3/3.33333.. which is not quivalent to one third
if CP of an item is Rs 7000, If SP of item is Rs 9100 Find the profit percentage.
Step-by-step explanation:
please mark me as brainlest
Determine the measure of the interior angle at vertex C.
Answer:
A. 144
Step-by-step explanation:
8x + 8x + 8x + 3x + 3x = 540°
30x = 540°
x = 18
8x = 144
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Brainliest if correct
Answer:
22/24 or 11/12
Step-by-step explanation:
Answer:
9/12, 2/12, 11/12
Step-by-step explanation:
The lowest common denominator of 3/4 and 1/6 is 12.
3/4 * 3/3 = 9/12
1/6 * 2/2 = 2/12
Now that both of the fractions have the same denominator, we can add them.
9/12 + 2/12 = 11/12
I hope this helps! Have a lovely day! :)
Solve for x.
A) 5
B) 3
C) 4
D) 6
Answer:
d
Step-by-step explanation:
divide
Answer:X=3
Step-by-step explanation:
Phoebe played in 14 games during the season. During this time, she scored
4 points in each of 5 games, 5 points in each of 2 games, 10 points in each of
3 games, 24 points in 1 game, and did not score in 3 games. What is the mean
number of points Phoebe scored per game?
Answer:
ok so first we have to find the total amount
4*5=20
5*2=10
10*3=30
24*1=24
0*3=0
now lets add up the total
20+10=30
30+24=74
104
then we have to divide by the amount of games to find the average or mean
104/14=7.43(aprox)
so she scores a average of about 7 points a game
Hope This Helps!!!
I’m not sure how to do this problem, can you please help?
Answer:
what is the problem? pls type in comments
How many 0.5cm x 0.5 cm x 0.5cm cubes are needed to completely fill the rectangular prism measuring 4 cm x 3 cm x 3cm?mp
Answer:
288
Step-by-step explanation:
The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.
Now, you just divide 36 by 0.125, which is 288.
I hope this helped.
Dr. Wright stated that 36 out of every 50 students wear a Spirit shirt each Friday. What percentage of the students do NOT wear spirit shirts on Fridays?
A. 14%
B.28%
C.36%
D.64%
Answer:
A
Step-by-step explanation: