Answer:
6 places to the right....
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20% by what percentage has his garden changed with these changes?
Given :
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.
To Find :
By what percentage has his garden changed with these changes.
Solution :
Let, initial length and breadth is x and y.
So, initial area = xy .
Size after increasing them :
y' = y + 0.50y
y' = 1.5y
x' = x + 0.2x
x' = 1.2x
Final area = (1.5y)(1.2x) = 1.8xy
So, percentage increase is :
[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]
Therefore, percentage increase in are is 80%.
Hence, this is the required solution.
Student Council is sponsoring the next school dance. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many total pizzas will they order if they plan to order 36 pepperoni pizzas for the dance?
Answer: 60 pizzas
Step-by-step explanation:
From the question, we are informed that the student council plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order.
Since 36 pepperoni pizzas are ordered for the dance, the number of cheese pizzas ordered will be:
= 36 × 2/3
= 24 cheese pizzas
The total pizza ordered will now be:
= Cheese pizzas + Pepperoni pizzas
= 24 + 36
= 60 pizzas
Answer:
60
Step-by-step explanation:
60 trust me
The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4 kg and a standard deviation of 0.6 kg. Researchers interested in studying how children gain weight decide to take random samples of 100 newborn babies and calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
Answer:
3.4 kg
0.06 kg
Step-by-step explanation:
Given that:
Birthweight follows a normal distribution :
Mean weighf (m) = 3.4 kg
Standard deviation (σ) = 0.6 kg
Sample size (n) = 100 new born babies
calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.
Hence, sample mean birth weight = 3.4kg
Standard deviation of sampling distribution = standard error = σ/√n
0.6 / √100
= 0.6 / 10
= 0.06 kg
Using the Central Limit Theorem, it is found that:
The mean is of 3.4 kg.The standard deviation is of 0.06 kg.Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.In this problem:
Mean of 3.4 kg, hence [tex]\mu = 3.4[/tex].Standard deviation of 0.6 kg, hence [tex]\sigma = 0.6[/tex].Samples of 100, hence [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]Hence, the mean of the sampling distribution is of 3.4 kg and the standard deviation is of 0.06 kg.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213
Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34." a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of. b. Diego then says, "If we take half of the first number and double the second, the sum is 14." Write an equation that could represent this description. c. What is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.
Answer:
x = 8
y = 5
Step-by-step explanation:
Let
x and y = the two positive numbers
a. 3x + 2y = 34 (1)
b. 1/2x + 2y = 14 (2)
Solve the simultaneous equation
3x + 2y = 34 (1)
1/2x + 2y = 14 (2)
Subtract (2) from (1)
3x - 1/2x = 34 - 14
6x-x/2 = 20
5/2x = 20
x = 20 ÷ 5/2
= 20 × 2/5
= 40/5
= 8
x = 8
Substitute x = 8 into (1)
3x + 2y = 34 (1)
3(8) + 2y = 34
24 + 2y = 34
2y = 34 - 24
2y = 10
y = 10 / 2
= 5
y = 5
Diego's two numbers are 8 and 5 respectively
Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If she strings these beads end to end, how long will her necklace be.
Answer:
The necklace will be 4,000 cm long
Step-by-step explanation:
Here we want to calculate the length of the necklace
Mathematically, that would just be the product of the beads and the diameter of each bead
Hence, we have
10,000 * 0.4 = 4,000 cm
f(g(4)) and the g(f(3)) for the following problem:
f(x) = 2x+3 and g(x) = x-3/2
First do the inside function then use the answer for the outer function
Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there are 12 cookies in each dozen, what is the cost per cookie?
Answer:
you have to divide 12 by 15
Step-by-step explanation:
HELPPPPPP!!!!
So far this month Aaron calculated that he will earn $40 in commission for his $500 in product sales. If Aaron would like for his commission to be $320, how much will his product sales need to be?
Answer:
$4000 in product sales
Step-by-step explanation:
[tex]\frac{40}{500} =\frac{320}{x} = 4000[/tex]
Answer:
$4000
Step-by-step explanation:
i) Calculate if $1 = ? commission
500/40 = $12.5
$1 = $12.5 commission
ii) If the commission $320,
320×12.5=4000
His product sales need to be $4000
please help i'll give brainist!
Can somebody help me with this. Will mark brainliest!
Answer:
The length of FG is 2.
Step-by-step explanation: B and F are the same point, just reflected, so BC=FG.
World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages. A restaurant uses 36 pounds of this coffee each month. How many cases must be ordered per month?
Answer:
The number of cases to be purchased is 2.
Step-by-step explanation:
Giving the following information:
World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages.
First, we need to calculate how many pounds are in each case.
1 pound = 16 ounces
1 case= (48*6)/16
1 case= 18 pounds
Now, the number of cases required each month:
36 pounds = 18*x
x= number of cases
x= 36/18
x= 2
The number of cases to be purchased is 2.
You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.
Answer:
One of the below.
Step-by-step explanation:
12-2=10 2+x=12
Hate my teacher for this one smh....
Is there enough information to prove the two triangles congruent? If yes, write the congruence statement and name the postulate you would use. If no, write not possible and tell what other information you would need.
Answer:
Step-by-step explanation:
yes, both are congruent by SAS Postulate
<SQP=<SQR (common in both (construction))
QS=QS (common side in both angle)
QP=QR ( as given)
hence, QPS=QRS
by SAS postulate
By SAS postulate Δ QSP ≅ Δ QSR.
What is Congruence Rule?The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
When two angles and the included side of one triangle are equal to two angles and the included side of another triangle, two triangles are said to be congruent.
Given:
In Δ QSP and Δ QSR
<SQP=<SQR (common in both (construction))
QS=QS (common side in both angle)
QP=QR ( as given)
So, by SAS postulate Δ QSP ≅ Δ QSR.
Learn more about Congruence rule here:
https://brainly.com/question/7888063
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Give the formula for finding the 'nth term' for this specific arithmetic sequence: 5, 8, 11, 14... (Be sure to fill in numbers for A(1) and d)
9514 1404 393
Answer:
A(n) = 5 +3(n -1)
Step-by-step explanation:
The first term is ...
A(1) = 5
The common difference is ...
d = 8 - 5 = 3
Then the desired formula is ...
A(n) = A(1) +d(n -1)
A(n) = 5 +3(n -1)
Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line is `1.5.` Do you agree with either of them? Explain.
Answer:
I agree with both of them because they are both correct
Step-by-step explanation:
See attachment for complete question;
Slope (m) is calculated using the following formula:
[tex]m = \frac{Rise}{Run}[/tex]
Where
[tex]Rise = Vertical\ Distance[/tex]
[tex]Run = Horizontal\ Distance[/tex]
From the attachment, we have the following:
Triangle A
[tex]Rise = 6\ units[/tex]
[tex]Run = 4\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{6}{4}[/tex]
In this case, Mai is correct:
Triangle B
[tex]Rise = 1.5\ units[/tex]
[tex]Run = 1\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{1.5}{1}[/tex]
[tex]m = 1.5[/tex]
In this case, Elena is also correct:
Here are the last 3 can u help me
Answer:
13. B
14. non-proportional
15. y = 4x+35
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answer:
4th and 5th option
Step-by-step explanation:
you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option
this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)
Answer:
the last two
Step-by-step explanation:
A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost of the item, in dollars and cents, after tax?
Answer: d + 0.055d or 1.055d
Step-by-step explanation:
Cost of item = d
Sales tax percent = 5.5%
Total cost = Cost of item + Sales tax
= d + (5.5% × d)
= d + (5.5/100 × d)
= d + (0.055 × d)
= d + 0.055d
= 1.055d
Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:
d + 0.055d or 1.055d.
NEED HELP ASAP
Given: (DE) is a midsegment of triangle ABC.
Find the value of x and y.
What is the length of (AC)?
Answer:
X=13. y=5 AC=20
Step-by-step explanation:
To do this we first have to find the value of x... giving the fact that DE is a mid segment, We know that the length of BC is double the length of DE this means that the length of BC equals 16. So, to equal 16 x will have to equal 13 so 13 + 3 = 16. Now we will find the value of y. We do this by looking at the length of ae and ec. AE equals EC so now that we know x equals 13 we can do 13 minus 3 equals 10 for AE. since EC has to equal 10 we can do 10 minus 5 which equals 5. We now know that y equals 5. We can now add this all up to find the length of AC. We would do 10 + 10 = 20. Hope this helps!
The length of AC from the diagram is 25
To get the value of x and y, we will use the similarity theorem of a triangle
BC = 2DE
x + 3 = 2(8)
x + 3 = 16
x = 16 - 3
x = 13
Hence BC = 16
From the given figure;
AE/DE = AC/BC
x-3/8 = (x-3+y+5)/x+3
10/8 = 15+y/13
130 = 8(15+y)
130 = 120 + y
y = 10
Get the length of AC
AC = 13-3+10+5
AC = 25
Hence the length of AC from the diagram is 25
Learn more here: https://brainly.com/question/23961310
PLEASE I BEG YOU JUST EXPLAIN HOW TO GET THE ANSWER ALL YOU HAVE TO DO IS EXPLAIN
Answer:
yo mamma
Step-by-step explanation:
get noob
answer:
4.5 tsp
explanation:
ok so 10 raspberry muffins need 1 1/4 tsp of baking powder so we can represent it like this:
10:1 1/4
then it asks how many tsp of baking powder is needed to make 3 dozens or 36 muffins
the amount of baking powder=x
so,
10:1 1/4=36:x
then you cross multiply,
10x=1 1/4*36
10x=45
x=4.5
simplify the expression: 8x + 13 - 3x + 9=
Answer:
5x + 22=
Step-by-step explanation:
8x+13-3x+9
Combine like terms.
8x-3x=5x
13+9=22
Piece it back together.
5x+22
And there you have it. Hope it helps! :3
ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if each kid got 4 total cookies. how many did she have in her original handful
Answer:
9 cookies in her original handful
Step-by-step explanation:
3 times 4 equals 12
12-3=9
5) Which is the better deal for mechanical
pencils?
(Hint: better deal means CHEAPER!)
Target: 4 pencils for $1.25
Staples: 25 pencils for $5.69
Answer:
Staples
Step-by-step explanation:
5.69/25<1.25/4
Answer:
Target
Step-by-step explanation:
Buying let's say you buy 4 packs close to the amount of Staples you'd get 16 pencils.
(ps sorry if I'm wrong lol)
Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?
a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6
Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c
Step-by-step explanation:
Which graph shows a function with a zero of –5?
Answer:
Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.
Step-by-step explanation:
How many tickets were sold in 8 hours?
Hours Tickets
(h)
Sold (1)
3.
240
5
400
9
720
Answer:
560
Step-by-step explanation:
1=160
2=320
3=480
4=640
5=800
6=960
7=1120
8=1280
9=1440
JUST ADD 160 EACH TIME
hope this is what your looking for :)
Select the word or number that correctly completes each sentence.
When simplified completely, the product of a monomial and a monomial is
a monomial.
When simplified completely, the product of a monomial and a binomial is
a trinomial.
When simplified completely, the product of a binomial and a binomial is
a monomial.
Before being simplified completely, the product of a binomial and a trinomial has
terms.
what is the answer to the questions?
1. always
2. never
3. never
4. 6
When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
Let's check all the options, then we have
A. When simplified completely, the product of a monomial and a monomial is a monomial.
⇒ a × b
⇒ ab
B. When simplified completely, the product of a monomial and a binomial is a trinomial.
⇒ (a)(b + c)
⇒ ab + ac
C. When simplified completely, the product of a binomial and a binomial is a monomial.
⇒ (a + b)(c + d)
⇒ ac + ad + bc + bd
D. Before being simplified completely, the product of a binomial and a trinomial has terms.
⇒ (a + b)(c + d + e)
⇒ ac + ad + ae + bc + bd be
When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.
More about the polynomial link is given below.
https://brainly.com/question/17822016
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what is the density of 9 cm³ gold cube with 450 g in a mass?
Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}
12. Phillip deposited $450 in an account that earns
5% interest, compounded yearly. If he makes
no further deposits, how much will be in the
account after 2 years?
A. $472.50
B. $491.14
C. $496.13
D. $512.24
Answer:
b
Step-by-step explanation:
CAN SOMEONE HELP ME