The mass of an ornament is m grams.
The height of the ornament is h centimetres.
m is directly proportional to the cube of h.
m = 525 when h= 5
a) Work out an equation connecting m and h.
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
[tex]m\propto h[/tex]
[tex]m=kh[/tex] ...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
[tex]525=k(5)[/tex]
[tex]\dfrac{525}{5}=k[/tex]
[tex]105=k[/tex]
Putting k=105 in (i), we get
[tex]m=105h[/tex]
Therefore, the required equation is [tex]m=105h[/tex].
what is LCM of 2 and 5
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
the spinner shown is
Answer:
where is the spinner
Step-by-step explanation:
Select the equation that represents the problem. Let x represent the unknown
number
Mr. Weaver bought 192 crayons for his class. The crayons
came in packs of 24. How many packs did he buy?
Answer:
A. 24x = 192
Step-by-step explanation:
Answer:
A. 24x = 192
Step-by-step explanation:
you would have to multiply 24 x 8 in order to 192!
So yes, the correct answer would be A. 24 x = 192!
Its simple you just have to multiply how many packs x how many crayons he bought! :D
Work out
m
and
c
for the line:
y
=
9
x
Answer:2
Step-by-step explanation:
2
For line y = 9x, m = 9 and c = 0
What is the slope-intercept form of the line?"y = mx + c, where m is the slope of the line and c is the y-intercept of the line."
What is slope of the line?"It is the change in y coordinate with respect to the change in x coordinate."
What is y-intercept?"It is a point at which a line intersects the Y-axis."
For given question,
We have been given an equation of line y = 9x
By comparing above equation of line with the slope-intercept form of line,
m = 9 and c = 0
This means the slope of the line y = 9x is 9 and the y-intercept is 0
Therefore, for line y = 9x, m = 9 and c = 0
Learn more about the slope and y-intercept of the line here:
https://brainly.com/question/19824331
#SPJ2
which of the following statements is not true
Answer:
2nd option is the answer
Step-by-step explanation:
Help please! See attached photo
Julie has 5 yards of fabric to make doll outfits. Each outfit requires 3/4 yards of fabric. What is the maximum number of outfits Julie can make with her fabric?
Answer:
6
Step-by-step explanation:
well 5 divided by 3/4 is 6.66666666667 which you can say is 6
Evaluate 2x when X4
what’s the answer for this?
The equation d = 3t represents the relationship between the distance in inches that a snail is from a certain rock and the time in minutes
Answer:
so would it be 3x 3 times pepepeppopo checkk
Ms. Durand has an obsession with Christmas. She is standing 8ft away from a 20ft Christmas Geometree. She wonders, "hmmm, what is the angle of elevation from myself to the star on the top of the tree?"
Answer:
68.20°
Step-by-step explanation:
Using Pythagoras rule :
Tanθ = opposite / adjacent
Adjacent = 8ft
Opposite = 20
Tanθ = 20 / 8
θ = tan^-1(20/8)
= 68.198590
Hence, angle of elevation = 68.2°
There is 1 teacher for every 18 students on a school trip. How many teachers are there if 72 students go on the school trip?
Move values to create a proportion that can be used to solve the problem.
Answer:
4 teachers
Step-by-step explanation:
If there is one teacher for every 18 students, you would divide the total number of students on the trip (72) by 18..
72/18= 4
so the answer is 4
9 over 16 times x over 12
Answer:
x=6.75
Step-by-step explanation:
9/16x x/12
cross multiply
16 times x equals 16x 9 times 12 equals 108
16x=108
16/16=108/16
x=6.75
pls brainliest hope this helps
10. What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 42 A. y = 2x + 2 B. y = 2x - 7 C. y = -2x + 6 D. y=-2x + 9
9514 1404 393
Answer:
2x -y = 7
Step-by-step explanation:
Only the constant is different for the parallel line. It must be chosen so that the given point satisfies the equation.
2x -y = 2(4) -(1) = 7
The equation is ...
2x -y = 7
261, 256,251,... what would be the 46th term
Answer:
36
Step-by-step explanation:
what is the coefficient of 15-8y?
Answer: its 15 and 8
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
neda sells televisions she earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If neda sells 19 televisions with extended warranties, she earns $1,425. How much is the fixed amount neda earns for each television?
Answer:
$5
Step-by-step explanation:
15x18=270
1170-270=900
900/18=50
Answer:
$60
Step-by-step explanation: This helpful but I can not step by step
Please help!!! What type of transformation is shown from Triangle P to Triangle Q?
A. Reflection across the y axis
B. Rotation
C. Translation
D. Reflection across the x axis
Answer:
D
Step-by-step explanation:
Reflection across the x axis
This is your answer because it is reflection on the x axis
Hope this helps u :)
Pls mark brainlist
The transformation shown from Triangle P to Triangle Q is Translation.
What is a transformation?
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Given that, Triangle P is transformed to Triangle Q.
The transformation shown is a translation transformation, because in a translation transformation, all the points in the object are moved in a straight line in the same direction.
Hence, The transformation shown from Triangle P to Triangle Q is Translation.
For more references on transformation, click;
https://brainly.com/question/11709244
#SPJ2
60 children go to a nursery. The ratio of girls to boys is 3 : 2
The children go to the nursery either in the morning or in the afternoon.
Three quarters of the children go to the nursery in the morning.
The rest of the children go to the nursery in the afternoon.
7 boys go to the nursery in the afternoon.
Work out how many girls go to the nursery in the morning.
Answer:
Girls (Morning) = 16
Step-by-step explanation:
60 children go to a nursery. The ratio of girls to boys is 3 : 2
Number of Boys = 3 / (3 + 2) * 60 = 3/5 * 60 =36
Number of Girls = 2 / (3 + 2) * 60 = 2/5 * 60 = 24
Three quarters of the children go to the nursery in the morning.
Number of children (Boys + Girls) = 3/4 * 60 = 45
The rest of the children go to the nursery in the afternoon.
Number of children (Boys + Girls) = 60 - 45 = 15
7 boys go to the nursery in the afternoon.
Boys + Girls = 15
Girls (Afternoon) = 15 - Boys = 15 - 7 = 8
Work out how many girls go to the nursery in the morning.
Girls (Morning) + Girls (Afternoon) = Girls (Total)
Girls (Morning) + 8 = 24
Girls (Morning) = 24 - 8
Girls (Morning) = 16
Answer:
The number of girls that go to the nursery in the morning are 28 girls
Step-by-step explanation:
The question is a word problem and the parameter given are as follows;
The number of children that go to the nursery, n = 60
The ratio of girls to boys = 3 : 2
The number of periods the children can attend the nursery = 2, morning or afternoon
The proportion of the children that go to the nursery in the morning = 3/4
The proportion of the children that go to the nursery in the afternoon = All those that do not go in the morning
The number of boys that go to the nursery in the afternoon = 7 boys
Let, 'x', represent the number of girls in the school, and let 'y', represent the number of boys in the school
Therefore, we have the following possible equations;
x + y = 60
x:y = 3:2
Therefore, the proportion of the total number of children that go to the nursery that are girls, x = 3/(3 + 2) = 3/5
The number of girls that go to the nursery, x = n × 3/5 = 60 × 3/5 = 36 girls
The number of girls that go to the nursery, x = 36 girls
∴ The number of boys that go to the nursery, y = 60 - 36 = 24 boys
The number of boys that go in the morning = y - (The number of boys that go to the nursery in the afternoon)
∴ The number of boys that go in the morning = 24 boys - 7 boys = 17 boys
The total number of children that go to nursery in the morning = 3/4 × (The number of children that go to the nursery, n)
∴ The total number of children that go to nursery in the morning = 3/4 × 60 = 45 children
The number of girls that go to the nursery in the morning = (The total number of children that go to nursery in the morning) - (The number of boys that go in the morning)
Therefore, the number of girls that go to the nursery in the morning = 45 children (girls + boys) - 17 boys = 28 girls
The number of girls that go to the nursery in the morning = 28 girls
This coffee shop has on average 6 times more customers than the café down the street. Does the expression “x + 6” describe the situation? If not, write an expression that does and explain what the variable represents.
Answer:
Step-by-step explanation:
No the expression "x+6" does not describe the situation. The expression 6x describes the situation. "x" represents the number of customers in the coffee shop.
Answer:
X= number of people in the coffe shop
Step-by-step explanation:
Hope this helps :)
please help! i really need this
Answer:
1/6
Step-by-step explanation:
on the cube, each number is listed one time. if he rolls the cube one time, he has 1/6 chance of it landing on 4.
Answer:
1/6
Step-by-step explanation:
1/6th is the answer. The cube has sides that are labeled 1 to 6. Since 4 is one number that is a possibility and there are 6 possibilities that the cube may roll another number. He has 1/6th of a chance that the number lands on 4.
The number of miles that regular tires last has a Normal
distribution with a mean of 50,000 miles and a standard
deviation of 8,200 miles.
If a random sample of 4 tires are selected, the probability
that the mean number of miles they last is more than
60,000 miles is 0.0075.
Is there convincing evidence that the mean number of
miles for all regular tires is greater than 60,000 miles?
___,it is,____ to randomly select 4 tires and
obtain a sample mean of greater than 60,000 miles if
the true mean of the population is 50,000 miles.
Answer:
1. 0.0075 or B
2. Yes and unlikely
Step-by-step explanation:
What is the value of x
in the equation 3=2x
?
A
23
B
1
C
112
D
5
Answer:
its 3/2
Step-by-step explanation:
Answer:
none x= 3/2
Step-by-step explanation:
The recipe uses 1/2 cup of sugar for 1 cup of flour...how much flour should there be if there is 2 cups of sugar? *
Answer:
4 cups
Step-by-step explanation:
2 divided by 1/2 is 4 so there are 4 half cups of sugar.
Since the sugar is multiplied by 4 you have to multiply the flour by 4.
1*4=4
Which expressions are equivalent to 6 ^ 16? Check all that apply.
Answer:
the first one -4 and -4
Step-by-step explanation:
-4 times -4 is 16 because the negatives cancel out
Determine the number of decimals places in each decimal
1. 0.378
2. 8.1867
3. 9419.4
4. 77.64
5. 9.05072
At Summer camp, 62 percent of the campers decide they want to go swimming instead of hiking. If there are 200 kids at the camp, how many go swimming?
Answer:
124
Step-by-step explanation:
Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Adrian to end up with $17,700?
Answer:
did you ever get the answer bc I am struggling on this, pls help.
Step-by-step explanation:
Answer: 5.81%
Step-by-step explanation: Delta Math
A = 17700. P = 9900. t = 10
17700 = 9900e^r(10)
17700/9900 = 9900e^10r/9900
1.7878788 = e^10r
In(1.7878788) = In(e^10r)
In(1.7878788) = 10r
In(1.7878788)/10 = 10r/10
0.058103 = r
5.8103% = r
r = 5.81%
HELP FOR A BRAINLIEST :)) JHGJQETBHJ
show me ya solving out too
Answer:
32
Step-by-step explanation:
1 mile = 1.609 kilometers
Answer:
4 minus StartFraction n cubed Over 7 EndFraction + 3
Step-by-step explanation:
Let the number be n
Quotient of of a number cubed and seven: n³/7
Four less the quotient of a number cubed and seven: 4 - n³/7
Four less the quotient of a number cubed and seven, increased by three: 4 - n³/7 + 3
Please help me!!! This is due in an hour!!!