Answer:
10.34
Step-by-step explanation:
converting digits to feet,
3ft 6in = 3.5 ft
2ft 9in = 2.75 ft
now feet to yards
3.5ft = 1.16666667 yards (rounded)
2.75ft = 0.9166666667 yards (rounded)
29ft = 9.66666667 yards (rounded)
multiplying them, you'll get approximately 10.34 cubic yards (rounded), that's the volume.
or you can multiply the digits in feet,
3.5×2.75×29
= 279.125 cubic ft
now to convert to cubic yards from cubic ft,
279.125/3³
= 10.337963..
= 10.34 (rounded to the nearest hundredth)
The local tennis club needed new tennis balls. To pay for all the new balls, each person in the club donated $12.45. The bill for the new balls came to a total of $510. The club had $50.25 left over and decided to put it towards their end of year Christmas party. How many people are members at the tennis club?
Answer:
45 people are members at the tennis club
Step-by-step explanation:
Let the number of people in the tennis club be denoted as "x".
Since each of them donated $12.45, then total donated = 12.45x
Since they had $50.25 left over after paying the cost of $510 for the ball, then;
12.45x - 510 = 50.25
12.45x = 510 + 50.25
12.45x = 560.25
x = 560.25/12.45
x = 45
Which represents the polynomial below written in standard form?
1 - 3х + 4х2 + ()
4x2-3x+1
represents the polynomial below written in standard form
PLease help fast I need assistance
Answer:
x<_-3 or 2_<x<7 or A
Step-by-step explanation:
Hope it helps
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
A = 18 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h ( b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
By counting squares
h = 3, b₁ = 3, b₂ = 9 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 9) = 1.5 × 12 = 18 units²
I don’t get number 5 someone help
Answer:
B
Step-by-step explanation:
We do 20 percent of 2500 which comes to 1500 and then you do plus 325 which gives you 2625
in a survey 50% like cold drinks 30% like hot drinks and 40% like juice. Likewise 20% of them like cold and hot drinks 18% like cold drinks and juice, 12% like hot drinks and juice and 5% like all three drinks. represent the above information in a venn diagram and find the percent of people who like:
i) at least one of the drinks
ii) exactly two types of drinks
iii) exactly one type of drink
iv) none of the drinks
Answer:
Step-by-step explanation:
C -> Percentage of people who take cold drinks
H -> Percentage of people who take hot drinks
J - > Percentage of people who take Juice
i) At least one of drinks = 17 + 3 +15 +18 +7 + 15 + 5 = 75%
ii) Exactly two types of drinks = Percentage of people who take cold and hot drinks + Percentage of people who take cold and Juice + Percentage of people who take hot drinks and Juices
= 15 + 13 + 7
= 35%
iii) Exactly one type of drink = Percentage of people who take only cold drinks + Percentage of people who take only hot drinks + Percentage of people who take only juices
= 17 + 3 + 15
= 35%
iv) None of the drinks = Total percentage - at least one of the drinks
= 100 - 75
= 25%
Miss. Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly. How much will she get after 10 years?
A.18,122
B.18,014
C.17,908
D.17,704
i need help on this please SHOW WORK
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school by car complete the table below
The image of the bar chart is missing and so i have attached it.
Answer:
Bus = 75
Cycle = 20
Walk = 45
Step-by-step explanation:
We are told that 50 students said they travel to school by car.
However, in the bar chart, we see that we have a portion for boys and girls
Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.
Thus, to find the value of a unit since number of people that took cars is 50, we have;
(6x + 4x)/2 = 50
Where x is the value of one unit. Thus;
10x/2 = 50
5x = 50
x = 50/5
x = 10
Thus, a unit is 10
Under bus;
Boys have 7 units while girls have 8 units.
Thus;
Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75
Under cycle;
Boys have 1 unit while girls have 3 units.
Thus;
Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20
Under walk;
Boys have 5 units while girls have 4 units.
Thus;
Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45
Addy is making two different recipies for the school bake sale. The brownie recipie calls for 2/3 cups of milk and the cut out cookie recipie calls for 3/4 cup of milk. How much total milk will Addy need to make both her recipies?
you just got to sum up the two fractions.
[tex]\frac{2}{3} +\frac{3}{4}[/tex] = [tex]\frac{8}{12} + \frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex]
she will need 17/12 cups of milk
hope it helps :)
Which of the following represents the solution to the inequality
Answer:
the question?
Step-by-step explanation:
H E L P !
Given that the Universal set is numbers 1 through 20, write the complement of the set A.
Set A : {1, 3, 7, 12, 14, 17, 19, 20}
Answer:
A' : {2, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16, 18}
Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side length of 1/2 yard would Jimmy need to measure the volume of his trunk?
Answer: 6 blocks
Step-by-step explanation:
Given
Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]
Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]
Volume of each cubic block is
[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]
Suppose, n blocks are required to measure the volume of Prism
[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]
Thus, 6 blocks are required to measure the volume of prism.
Yes that person is correct
does this table represent a function? Why or why not?
X: 2 2 3 4 5
Y: 1 4 4 2 5
Please answer it ASAP
This ellipse is centered at the
origin. Find its equation.
Vertices: (0,-6) and (0,6)
Foci: (0,-2) and (0,2)
y?
X^2/[?] + y^2/[?] =1
Answer:
Equation of Ellipse is [tex]\frac{x^{2} }{32} +\frac{y^{2} }{36} =1[/tex]
Step-by-step explanation:
Let's find the value for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] to write the equation for vertical ellipse.
Here 'a' is the distance from center to one of the vertices.
"b" is the distance from center to one of the Co-vertices. We need to find this using formula [tex]a^{2} -b^{2} =c^{2}[/tex]
'c' is the distance between center to one of the Foci.
In this problem center is origin.
So, a =6(because distance between(0,0) and (0,6) is 6)
c= 2 (because distance between (0,0) and (0,2) is 2)
Plug in the known values into the formula [tex]a^{2} -b^{2} =c^{2}[/tex]
36-[tex]b^{2}[/tex]= 4
Subtract both sides 36
[tex]-b^{2}[/tex] = -32
Divide both sides by -1
[tex]b^{2}[/tex] =32
So, equation would be
[tex]\frac{x^{2} }{32} +\frac{y^{2} }{36} =1[/tex]
what is perpendicular to -1/-7
Answer:
7/1
Step-by-step explanation:
To find a perpendicular line you must take the slope and use its opposite reciprocal.
Let's say you have a slope of 3/4. The perpendicular line would be -3/4 because it is the opposite reciprocal.
slove................
Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.
Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.
Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.
Hope this helps!
Answer:
<1 = 53
<2 =127
<3 = 53
Step-by-step explanation:
Angles 2 and 4 are vertical angles and vertical angles are equal
<2 = <4 = 127
<1 + <2 =180 since they form a straight line
<1 + 127 = 180
< 1 = 53
<1 and <3 are vertical angles so they are equal
<1 = <3 = 53
Which multiplication expression can be used to check this division problem:
2/5 ÷ 4/15 = 3/2
° 2/5 × 4/15
° 3/2 × 4/15
° 3/2 × 15/4
° 5/2 × 15/4
Answer:
° 3/2 × 4/15
Step-by-step explanation:
for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.
The ratio of flour to water is 2 to 1 for biscuits Is Lisa has 4 cups of flour how much water should she add to make biscuits
Answer:
she should add 2 cups of water.
Step-by-step explanation:
2 : 1 = 4 : 2
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
Hi, you've asked an incomplete question. Attached is the full question.
Answer:
1. c and b
2. No. The definitions have opposite results.
Step-by-step explanation:
1. Two different ways Analia could define this quantity is:
SAT range divided by budget per studentSAT range divided by teachers per student.2. Indeed, whatever the definition selected, they both have opposite results.
Answer:
1.C and B
2. Yes. According to both definitions, School B has the lower SAT range relative to the resources invested per student.
Step-by-step explanation:
Got it wrong on khan and used a hint these are the answers
If the scale on the map is 1cm :112 km. If two places are 197 miles apart. How far apart are they on a map
Answer:
22.4 cm
100% 2021 on edge!
Step-by-step explanation:
The table represents an exponential function.
What is the multiplicative rate of change of the function?
Answer:
Step-by-step explanation:
All we are doing here is solving for the b in
[tex]y=a(b)^x[/tex], which is the standard form for an exponential function.
Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):
[tex]6=a(b)^1[/tex] so
[tex]a=\frac{6}{b}[/tex] and use that when you write the next equation using the next coordinate pair:
[tex]4=\frac{6}{b}(b)^2[/tex] which simplifies to
4 = 6b so
[tex]b=\frac{2}{3}[/tex], the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.
solve/ Find the area….
Answer:
D. 195 cm^2
Step-by-step explanation:
The given is a trapezoid and to calculate the are of it we use the following formula :
(a+b)/2*h (a: base, b: base, h: height)
(9+21) / 2 * 13 = 195
What type of line is PQ?
A. side bisector
B. altitude
C. angle bisector
D. median
Step-by-step explanation:
C. angle bisector
hope this helps you
have a nice day:)
A line PQ is the median of triangle PRS.
What is median of a triangle?A median of a triangle is a line segment that join a vertex to the mid-point of the side that is opposite to the vertex.
According to the given question.
We have a triangle PRS in which a line segment PQ dividing the side RS in two equal parts means point Q is acting as a mid point for RS.
Since, RS is the side which is opposite to the vertex P, and PQ is dividing RS in two equal parts therefore, PQ is the median of the triangle PRS.
Thus, option D is correct.
Find out more information about median of a triangle here:
https://brainly.com/question/2272632
#SPJ2
the diameter of a bicycle wheel is 71 cm. calculate the circumference of the wheel
Answer:
233.05
Step-by-step explanation:
take the diameter and divide it by 2, that will give you the radius. Take the radius and multiply it by 2 then by pi. That will give you the circumference. So for the this question it would be:
71 divided by 2 = 35.5cm
35.5 x 2 x pi = 233.05
HELP!!!
A car manufacturer collects data on the number of gallons of gasoline left in the gas tank after driving for different numbers of miles. The manufacturer creates a scatter plot of the data and determines that the correlation coefficient is −0.92.
Select each true statement based on this correlation coefficient.
A.) There is a weak correlation between the number of miles driven and the gallons of gasoline left in the tank.
B.) There is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
C.) There is no correlation between the number of miles driven and the gallons of gasoline left in the tank.
D.) There is a linear correlation between the number of miles driven and the gallons of gasoline left in the tank.
E.) There is a strong correlation between the number of miles driven and the gallons of gasoline left in the tank.
The statement that is true about the variables analyzed is that there is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
What is correlation?This refers to the relation or connection between two or more variables. In this case:
Amount of gasolineNumber of milesWhat does -0.92 mean?This has the sign -, which shows the correlation is negative. This implies that as the number of miles increase the amount of gasoline decreases.
Learn more about gasoline in: https://brainly.com/question/12847098
#SPJ1
please help
hggggggggggh
Answer:
The first blank is: 26
The second blank is: 17
The third blank is: 31 - n
Step-by-step explanation:
So basically each row should add up to 31. So for every number they give you (doesn't matter which color ball), you need to subtract it from 31.
That's why for the first blank, 31 - 5 is 26
second blank, 31 - 14 is 17
and so on....
so the resulting function would be 31 - n
n being a random number that is given to you
F(x)=-x^2+2mx+2m-3 with x<0
Answer:
m<√-3 OR m<√3i
Step-by-step explanation:
f(x)=x²+2m(x+1)-3
with x<0
b²-4ac<0
(2m)²-4(1×-3)<0
4m²+12<0
4m²<-12
m²<-12/4
m²<-3
m<√-3 OR m<√3i
What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-)
10
(-12, -3)
O C. (-9.-11)
(3.-8)
OD. (-:-)
Help Now
Find The Lateral Area Of The Prism
Answer:
Lateral Area = 176 cm²
Step-by-step explanation:
The prism is a rectangular prism
Formula for Lateral Area of the rectangular prism = 2(l + b)*h
Where,
Length (l) = 4 cm
Breadth (b) = 4 cm
Height (h) = 11 cm
Plug in the values
Lateral Area = 2(4 + 4)*11
= 2(8)*11
= 16*11
= 176 cm²