The owner of a music store wanted to box a shipment of 1,532 CDs in 36 boxes. If he puts them evenly in the 36 boxes, how many will be left over?
Answer:
The owner has
Step-by-step explanation:
36 x 36 = 1296, he has 36 boxes so he put 36 in each box, so there would be 1, 18 CDs, and there would be no boxes left.
so a right triangle has a leg of length 15 and a hypotenuse of length 45 yards. Find the length of the other leg (nearest tenth)
Answer:
42.42 yards
Step-by-step explanation:
Given :-
A right triangle has a leg of length 15 yards and a hypotenuse of length 45 yards .And we need to find the length of other leg. So since it is a right angled triangle we can use the Pythagoras Theorem which is ,
Pythagoras Theorem :-
In right angle triangle sum of squares of two smallest sides that is base and perpendicular is equal to the square of the largest side that is hypotenuse .Using Pythagoras Theorem :-
[tex]:\implies[/tex] p² + b² = h²
[tex]:\implies[/tex] 15² + p² = 45²
[tex]:\implies[/tex] 225 + p² = 2025
[tex]:\implies[/tex] p²= 1800
[tex]:\implies[/tex] p = 42.42
Hence the measure of other leg is 42.42 yards.
describe fully the single transformation that takes shape p onto shape q
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
If the critic rates a total of 100 restaurants what is the best prediction for the number of restaurants she gives exactly 3 stars
Answer:
Probability = 1 / 5
Step-by-step explanation:
Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.
So, probability of 3 stars = Outcomes with 3 stars / Total outcomes
= 1 / 5
PLZZZZZZ HELLLPPPPPPPPPPP
Answer:
1
Step-by-step explanation:
Denise build two seawall to keep rising the water from her house. The first is 8.75 meter long. The second is 37.5 percent longer than the fist. How long is the second seawall?
Answer:
12.0 meters
Step-by-step explanation:
Given data
The first is 8.75 meters long
Let us find 37.5% of 8.75
=37.5/100*8.75
=0.375*8.75
=3.28125
Hence the Second seawall is
=3.28125+8.75
=12.0 meters
ASAP please help i’ll give brainliest
Answer: all of them!!
Step-by-step explanation: hope this helps :)
help me with this math question please I'm giving away brainliests
Answer:
2 AND -10
Step-by-step explanation:
Answer:
domain: all real numbers except 2 and -10; x-intercept: 4; y-intercept: 1/5
Step-by-step explanation:
The domain consists of the set of all possible values x can be. In a fraction, the denominator cannot be equal to 0. We can solve for the values x cannot be equal to by factoring and exclude them out of the domain once we’ve found them:
To factor x^2 + 8x - 20, we are looking for two numbers that have a product of -20 and a sum of 8. These two numbers are 10 and -2. So, it can be factored to:
(x + 10)(x -2) not equal 0
So x ≠ 2 and x ≠ -10.
To find the x-intercept, the value of y would be zero. We can substitute y as 0 to get:
0 = (x - 4) / x^2 + 8x - 20
The only way for this fraction to equal 0, is for the numerator to be 0. We get the equation:
x - 4 = 0,
And x = 4
To find the y-intercept, the value of x would be 0. We can substitute x with 0 to get:
y = -4 / -20 = 1/5
These answers align with the second option.
A total of 2,839 people showed up to watch a band perform. The people were divided evenly among 8 equal sections of seats. How many people were seated in each section, and how many people were unable to to be seated?
Answer:
354.875
Step-by-step explanation:
Answer:
354 people were seated in each section and 7 people were unable to be seated.
Step-by-step explanation:
7. The length of a rectangular swimming pool is 28 feet and the perimete
is 84 feet. What is the area of the swimming pool? *
The area is 364 because the perimeter is 84 feet, the sides are 28 times two witch it 56 and 84-56 is 26 so the other sides are 13 and 13 times 28 is 364
If f(x) =-2x+9 and g(x)=-4x^2+5x-3 ,find (f•g)(x)
Answer:
f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9
Step-by-step explanation:
Find X, and the two angle measures.
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Ahmed doubled his savings, then deposited another hundred dollars. Let s represent the amount he originally had in savings. Which shows an expression to represent his current amount and the current value of his account if s = 80?
StartFraction s Over 2 EndFraction + 100; when s = 80 the latest balance of Ahmed’s savings is $140
2 s + 100; when s = 80 the latest balance of Ahmed’s savings is $260
s squared + 80; when s = 80 the latest balance of Ahmed’s savings is $6,480
s squared + 100; when s = 80 the latest balance of Ahmed’s savings is $6,500
Answer:
B. 2s + 100 when s=80 the latest balance of Ahmed’s savings is $260
Step-by-step explanation:
We are given that the savings = $s and current amount $c.
Now, Ahmed has doubled his savings. This means that the new savings = $2s
Also, he had deposited $100.
So, the current amount of Ahmed is given by c = 2s + 100.
Moreover, if the savings is $80 i.e. s = 80, the current amount is,
c = 2 × 80 + 100
i.e. c = 160 + 100
i.e. c = 260
So, the current amount if savings is $80 is $260.
Hence, the expression for current amount is 2s + 100 and if s = 80, the current amount is $260.
What is the missing term?
Answer:
4x
Step-by-step explanation:
I'm not sure though try multiplying
A family is purchasing concrete in order to create a foundation for a rectangular outdoor
patio. The rectangular patio is to be 15 feet wide and 17 feet long. To meet
specifications, the concrete must be poured to a depth of 6 inches. Large amounts of
concrete can be purchased by the cubic yard. How many cubic yards of concrete will it
take to construct the patio. Round your answer to the nearest tenth.
Answer:
42.5 Cubic Yards
Step-by-step explanation:
To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.
The volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
What is the Volume of a cuboid?The volume of the cuboid is the space occupied by the 3D object cuboid. It is the product of the length, width, and depth of the cuboid.
As it is given that we need to make a rectangular foundation, therefore, the shape of the foundation will be a cuboid with sides 5 feet wide, 17 feet long, and depth of 6 inches.
Now, as we know large amounts of concrete can be purchased by the cubic yard only, therefore, we will convert each of the sides of the rectangular foundation into yards.
[tex]\rm Wide, w = 5\ feet = 5 \times \dfrac{1}{3} = \dfrac{5}{3}\ yards\\\\Length, L = 17 feet = 17 \times \dfrac{1}{3} = \dfrac{17}{3}\ yards\\\\Depth, D = 6\ inches = 0.5\ feet = 0.5 \times \dfrac{1}{3} = \dfrac{0.5}{3}\ yards\\\\[/tex]
Now, we know that the volume of the cuboid is given as the product of its length, width, and depth. therefore,
[tex]\text{Volume of Cuboid} = Length\times Width\times Depth[/tex]
[tex]= \dfrac{5}{3} \times \dfrac{17}{3} \times \dfrac{0.5}{3}\\\\= \dfrac{42.5}{27}\\\\=1.574\rm\ yards^3[/tex]
Hence, the volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
Learn more about Volume of Cuboid:
https://brainly.com/question/46030
need help question 15
Answer:
To divide by (x+1) in synthetic division, you divide by -1.
-1 1 -7 4 12
-1 8 -12
—————————-
1 -8 12 0
This gives us x^2 -8x +12x which factors to (x-2) (x-6). We still have the factor of (x+1) so the zeros will be 2, 6, and -1.
Step-by-step explanation:
what is the quotient of the following rational expression?
Answer: i cant see it
Step-by-step explanation:
Answer: It's the second one
Step-by-step explanation:
What is the most specific name for the figure?
A(-4a, -2b)
B(-8a, -2b)
C(-4a, b)
D(0, b)
B
А
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
rhombus is the answer.....
Answer: is parallelogram
Step-by-step explanation:
What are the coordinates of the vertex of the table?
Answer:
B
Step-by-step explanation:
I cant explain it but its B
1= 1/4c what is c ? pls help i could not figure this one out haha
Step-by-step explanation:
it say the answer is 4 but I don't know how
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
Solution given:
Since it is a isosceles trapezoid so it diagonal will be congruent so
PR=QS
PT+RT=12cm
4.9+RT=12cm
RT=12-4.9
RT=7.1cm
PS=QR
QR=9cm
m<QPR=44° base angle of isosceles triangle
m<PTQ=180°-44-44=92°[interior angle remaining of traingle]
m<STR=m<PTQ
m<STR=92°
EMERGENCY PLS HELP: Write a ratio that gives the tangent of
Answer quickly and give the correct answer please,
Answer:
B
Step-by-step explanation:
The function starts at -3 and finishes at 5
Use the tangent to find the length of side QR. Express your answer to the nearest tenth. The length of side QR is approximately _____ units.
Answer:
3.9
Step-by-step explanation:
tan = opposite side/adjacent side
tan 61 = 7.1/QR
QR tan 61 = 7.1
QR = 7.1/tan 61
= 3.9
Note: If you memorize the definitions of all the trig functions, then these kinds of problems will be much easier. OK?
a yellow box contains 400 tickets that come in three colours. Blue, green, and yellow. the ratio of blue to green tickets is 1:3. the ratio of green to yellow tickets is 1:4. what aid the smallest number of tickets that must be drawn from the box to ensure that at least 50 tickets of one colour have been selected
Where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answer:
[tex]P(Z<-2.5) =0.0062097[/tex]
Step-by-step explanation:
From the question we are told that:
Test statistic t =-2.5
Generally the equation for Test for statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=-2.5[/tex]
Therefore
P-value from Z table is
For left tailed test
[tex]P(Z<-2.5) =0.0062097[/tex]
therefore the P-value for the test is
[tex]P(Z<-2.5) =0.0062097[/tex]
can someone help with surface area. I'll give them brainlyest
Answer:
To fine the surface area is to add all the area of the faces
Given a circle with center (h,k) and radius r that has parametric equations x = h + r cos a and y = k + r sin a, find a set of parametric equations of a circle with center (-10, 1/2) and radius sqrt(7).
Answer: [tex]x=-10+\sqrt{7}\cos \theta\-,\quad y=0.5+\sqrt{7}\sin \theta[/tex]
Step-by-step explanation:
For a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex]
The parametric equation is [tex]x=h+r\cos a[/tex], [tex]y=k+r\sin a[/tex]
For center [tex](-10,\frac{1}{2})[/tex] and radius [tex]\sqrt{7}[/tex]
Parametric equation is
[tex]\Rightarrow x=-10+\sqrt{7}\cos \theta\\\Rightarrow y=0.5+\sqrt{7}\sin \theta[/tex]
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
Answer:
14.67
Step-by-step explanation:
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
We have the Equation
150x = 2200
Divide both sides by 150
150x/150 = 2200/150
x = 14.666666667
Approximately x= 14.67
Answer:
divide each side by 150
Step-by-step explanation:
I am Desperate for answer
The mean is 8 and the lower quartile is 6.