Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answers
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Related Questions
Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?
Answers
Answer:
Jonathan's mean score is:
(87+93+85+62+95)/5
=422/5
=84.4
is this set of ordered pairs a function ?
{ (6,1) (9,2) (6,8) (9,7) (8,3)}
Answers
Answer:
nope always remember if the x's are the same its not a function :)
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
x has y
6 has 1 and later said
6 has 8
this could not happen in a function
if rectangle one side is 8 times longer than the other then how long is all of the rectangle sides if rectangle perimeter is 270cm.
shorter side is -
longer side is -
Answers
short-15
(8x2)+(1x2)=18 for the sides
270/18=15
long side 15x8
What is the least common Denominator for 29/40
Answers
Answer:
You need to know the least common denominator (LCD) of 40 and 29 if you want to add or subtract two fractions with 40 and 29 as denominators. The least common denominator, also called lowest common denominator (LCD), of 40 and 29 is 1160 .
Step-by-step explanation: hope this helps
Which number line below shows the solution to the inequality -4 < x/2 < 2?
Answers
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
i hope this helps :)
33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))
Answers
Given:
[tex]d(t)=80t[/tex]
[tex]C(d)=0.09d[/tex]
To find:
The value of [tex]C(d(10))[/tex].
Solution:
We have,
[tex]C(d(10))=C(80(10))[/tex] [tex][\because d(t)=80t][/tex]
[tex]C(d(10))=C(800)[/tex]
Now,
[tex]C(d(10))=0.09(800)[/tex] [tex][\because C(d)=0.09d][/tex]
[tex]C(d(10))=72[/tex]
Therefore, the value of [tex]C(d(10))[/tex] is 72.
4x-5y=0
8x+5y=-60
what is the answer by substitution or elimination?
Answers
can you please answer the question tyy
Answers
Answer:
Step-by-step explanation:
What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.
What is the volume of the prism
Answers
The volume of the prism is 72
How to calculate the volume of the prism?The height of the prism is 3 ft
The base of the prism is 24 square feet
The formula for volume of a prism is base multiplied by the height
Volume= base × height
= 3 × 24
= 72
Hence the volume of the prism is 72
Read more on volume here
https://brainly.com/question/30595681
#SPJ1
I need help!! ASAP!!
Answers
Answer:your answer is c
Step-by-step explanation:if you want to be friends we can just friend me
The circumference of the base of a right circular cylinder is 252 cm. Find the lateral surface area if the height is 3 m.
Answers
Answer:
The lateral surface area is [tex]80,638.4 \ cm^2[/tex]
Step-by-step explanation:
Lateral Surface Area of a Cylinder
It can be computed with the formula:
[tex]\displaystyle A=\pi r^2+2\pi rh[/tex]
Where:
r = radius of the circular base
h = height
The circumference of the base can be calculated as:
[tex]C = 2\pi r[/tex]
We are given the circumference C=252 cm, let's find the radius solving for r:
[tex]\displaystyle r=\frac{C}{2\pi}[/tex]
[tex]\displaystyle r=\frac{252\ cm}{2\pi}[/tex]
r = 40.1 cm
Now we calculate the lateral surface area knowing h=3 m=300 cm:
[tex]\displaystyle A=\pi 40.1^2+2\pi 40.1*300[/tex]
[tex]\boxed{A = 80,638.4 \ cm^2}[/tex]
The lateral surface area is [tex]80,638.4 \ cm^2[/tex]
What is the constant in the following expression? -8x^2+17y+19
Answers
Answer:
(x + 2) • (x - 19)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -38 = -38
Step-2 : Find two factors of -38 whose sum equals the coefficient of the middle term, which is -17 .
-38 + 1 = -37
-19 + 2 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -19 and 2
x2 - 19x + 2x - 38
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-19)
Add up the last 2 terms, pulling out common factors :
2 • (x-19)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-19)
Which is the desired factorization
Maya has 120 caramel apples to sell. Each caramel apple is covered with one toppin.
Answers
they got sold by her
Step-by-step explanation:
lol she sold her apples to people
do anybody know the answer
Answers
Answer:
A) 36
Step-by-step explanation:
So first we calculate the perimeter of the triangles. I can tell right away that it is a 3-4-5 triangle, so add 3+5+3+5=16 (not 4, since that is not on the outside). Then add the perimeter of the long side of the rectangle, so 10+10, then add to 16, so 36.
1.
I
Select all the true statements.
I
Dilations always increase the length of line segments.
B.
Dilations of an angle are congruent to the original angle.
C.
Dilations increase the measure of angles.
D.
Dilations of a triangle are congruent to the original triangle.
E.
Dilations of a triangle are similar to the original triangle.
Answers
Answer:
E
Step-by-step explanation:
So in an atom, are there the same number of protons as electrons??? If so, then how are some electrons and protons negative and positive. And also, what is the net charge??
***IK that this isn't a math question but no one answers in science . . .
Answers
Answer:
If an atom has the same number of protons and electrons then it is electrically neutral. Not all atoms have to have the same number of atoms because the number of electrons can be changed with the element remaining the same. Protons have a positive charge while electrons have a negative charge. The net charge is dependent on the number of protons and electrons. If it has more protons it would have a higher amount of positive charge therefore making it a positive net charge. The same thing applies with electrons just opposite.
If the atom has no charge (neutral) then there are the same number of protons and electrons. The positive protons cancel out with the negative electrons to produce this neutral state. We can say the net charge is 0 here.
Now if you take away one or more electrons, then there will be more positive protons to outnumber the negative electrons. Overall, the net charge will be positive. For example, if the atom loses 3 electrons, then you'll have a net charge of [tex]3^{+}[/tex]. These positively charged ions are known as cations. You pronounce this as "cat-ion" instead of "catshun".
On the flip side, if you add electrons to an atom, then you'll make the net charge overall to be negative. So let's say we add 4 electrons. We'll have the net charge be [tex]4^{-}[/tex] and this is an anion. To pronounce "anion" you would say "an ion" instead of "anyun".
cation = positively charged ion (less electrons compared to protons)anion = negatively charged ion (more electrons compared to protons)---------------
In short, the number of protons and electrons are the same if the net charge is 0 and we're not dealing with ions. If you are dealing with ions, then the two counts will not be the same. Note how in the examples above, I didn't change the number of protons. Doing so would change the overall element entirely.
Which of the following would produce a graph that is the reflection of f(x)= (x−3)2−4 across the x-axis?
Answers
Answer:
c took the quiz on edge 2020
Answer:
[tex]x2 - 6x + 5[/tex]
Step-by-step explanation:
The function f(x) = (x-3)^2 - 4
This can be written as ;
(x-3)(x-3) -4
x(x-3)-3(x-3)-4
[tex]x2 - 3x - 3x + 9 - 4 [/tex]
can someone please help me?
Answers
Answer:
The X intercepts= 1 and -1
The y= -1
Step-by-step explanation:
It's where the line meets the axis.
Mary Catherine makes 2 gallons of punch for her party. How many quarts of punch did she make?
Answers
Answer:
8
Step-by-step explanation:
1 gallon equals 4 quarts so 4*2=8
ASAP plz help me with this
Answers
Answer:
6
Step-by-step explanation:
Given this number line, DB = [?]
13 - 11 = x
11 - v = 7
13 - 11 = 2
2 = x
11 - v = 7
7 + 4 = 11
4 = v
v + x = ?
2 + 4 = 6
Given this number line, DB = [6]
What would the perimeter of a triangle be if the side lengths were 5x+2, 3x-5, and x+10
Answers
9x + 7
Gina will pay $14 for the
fabric at a craft store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
Answers
Answer:
$15.19
Hope this helped!
Step-by-step explanation:
Write an equation
8.5% of 14 =
Convert percent into decimal:
8.5% = 0.085
"Of" means to multiply so multiply 0.085 to 14
0.085 x 14 = $1.19
14 + 1.19 = 15.19
can someone help me please 15-6(m+1)-34+4m
Answers
Answer:
-2m-25
Step-by-step explanation:
Answer:
-2m-25
Step-by-step explanation:
15-6(m+1)-34+4m
distribute -6 to m and 1
15-6m-6-34+4m
15-6-34=-25
-6m+4m=-2m
-2m-25(answer)
2. A pizza restaurant charges y amount for a pizza based on the x number of toppings you select. What
does the slope and the y-intercept tell you about the price of the pizzas using this equation: y = 1.50x +
7.50
Write answer here
3. A linear model is given by y = 1.3x + 15, where x is the number of seconds that a person is riding a
Answers
Answer:
slope should be 1.50x and your y-intercept should be 7.50
Step-by-step explanation:
Evaluate the following using a nmber line:-4+-5+3
Answers
Answer:
-6
Step-by-step explanation:
-4+-5=-9
-9+3=-6
Please help!!!!! will mark brainliest
Answers
Answer:
It should be B- an=3n+1 because it seems to be adding one every time
Step-by-step explanation:
Answer:
We will count number of squares
first term is 4
so,
second term is 7
so,
third term is 10
so,
We can see that this sequence is in arithematic sequence
we can use nth term formula
where
an is nth terms
a1 is first term
d is common difference
n is total number of terms
now, we can plug values
and we get
b 3n+1
Step-by-step explanation:
10 flowers in 5 vases = ? flowers per vase
Answers
Answer:
there are 2 in each vase
Answer:
2 flowers per vase
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answers
Answer:
See Below
Step-by-step explanation:
Total no of students = 24
No of boys = 10
So, no of girls = 24 - 10 = 14
Ratio of boys to girls = 10/14 = 5/7 = 5 : 7
So the ratio of boys to girls should be 5 : 7 and not 5 : 12
find the slope of a line that intersects the points (-2,6) and (4,-4)
hurry i’ll give 20 points
Answers
First find the slope of the line connecting these two points:
6-5
m = ------------ = -1/2
-4+2
Substitute this slope into y = mx + b: y = (-1/2)x + b.
Next, subst. 5 for y and -2 for x, and find b:
5 = (-1/2)(-2) + b, or 5-1=b. Then b = 4, and
the equation of the line is y = (-1/2)x + 4.
A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.
(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.
(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?
(C) What is the expected number of eggs with rocks that Natasha will have in her basket?
Answers
Answer:
[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]
There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.
p
+
q
=
1
. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability
p
=
0.6
. Then,
q
=
0.4
. This means that for every true-false statistics question Joe answers, his probability of success
(
p
=
0.6
)
and his probability of failure
(
q
=
0.4
)
remain the same.
The outcomes of a binomial experiment fit a binomial probability distribution. The random variable
X
=
the number of successes obtained in the n independent trials.
The mean,
μ
, and variance,
σ
2
, for the binomial probability distribution are
μ
=
n
p
and
σ
2
=
n
p
q
. The standard deviation,
σ
, is then
σ
=
√
n
p
q
.
Any experiment that has characteristics two and three and where
n
=
1
is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.