Solution:
We know that:
Perimeter of rectangle = 2L + 2BGiven:
L = 9 cmW = 5 cmSubstitute the values into the expression to find the perimeter.
Perimeter of rectangle = 2L + 2B=> 2(9) + 2(5)=> 18 + 10=> 28 cmAnswer: 28cm
Step-by-step explanation:
The perimeter formula for a rectangle = 2(l + w); where:
length = 9cm
width = 5cm
P = 2(l + w)
= 2(9 + 5)
= 18 + 10
= 28cm
Therefore, the perimeter of the cheese is 28cm
The sum of 3 consecutive integers is 48. What is the smallest of the integers?
Answer:
15
Step-by-step explanation:
x+(x+1)+(x+2)= 48
=)3x+3=48
=)3x=45
X=15
The smallest of the integers would be 15.
What are the consecutive numbers?The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.
Given that the sum of 3 consecutive integers is 48.
We need to find the smallest of the integers.
Let assume the 3 consecutive integers are x, (x+1) and (x+2)
Therefore, x+(x+1)+(x+2)= 48
Combine the like terms;
3x+3=48
3x=45
X=15
Hence, the smallest of the integers would be 15.
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What should be added twice the rational number -7/3 to get 3/7 ?
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
let the required number be ' x '
Now, let's form a equation as per the question ~
[tex]\qquad \sf \dashrightarrow \: - \bigg(\dfrac{ 7}{3} \times 2 \bigg ) + x = \dfrac{3}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \: - \dfrac{ 14}{3} + x = \dfrac{3}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{3}{7} + \dfrac{14}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{9 + 98}{21} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{107}{21} [/tex]
what is the highest common factor of 264627 and 305613
Answer:
3?
Step-by-step explanation:
3(264621(305613
8829. (101871
The Highest Common Factor of 264627 and 305613 is 891.
What is Highest Common Factor?The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one.
For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.
Given:
264627 and 305613
Now, prime factorizing both number
264627 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 11
and, 305613 = 3 x 3 x 3 x 3 x 7 x 7 x 7 x 11
So, the common factors are 3 x 3 x 3 x 3 x 11 = 891
Hence, the HCF is 891.
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
208, 204,200,...
Find the 45th term.
Step-by-step explanation:
please mark me as brainlest
Answer: 32
Step-by-step explanation:
This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.
[tex]a_{n}=a+(n-1)d[/tex] is the formula for an arithmetic sequence.
[tex]a_{n}[/tex] = nth term
a = the first term in the sequence
n = term you are looking for (in this case 45)
d = common difference between the terms (in this case -4)
∴
[tex]a_{n}=a+(n-1)d[/tex]
[tex]a_{45} =208+(45-1)(-4)\\a_{45}=32[/tex]
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:(-1,-8)
Step-by-step explanation:
Answer:
(-1, -8)
step-by-step explanation:
original coordinates of A: (-1, 1)if reflected over x-axis, use the formula: (x, y) → (x, -y)
new coordinates: (-1, -1)if translated vertically, there will be change in y axis:
new coordinates: (-1, -1-7) → (-1, -8)Find the circumference of the circle
Answer:
Formula for circumference;
C = 2πr
replace those values
C = 2 x 3.14 x 9
C = 56.52 inches, C
Answer:
The circumference would be 56.52
Step-by-step explanation:
Place your radius into the formula for circumference (C=2πr)
C = 2 × 3.14 × 9
C = 56.52
A car uses 15 gallons of gasoline to travel 450 miles.
How far can the car travel on 18 gallons of gasoline?
Answer:
540 miles
Step-by-step explanation:
450/15 = 30
so the car can travel 30 miles per gallon
18*30 = 540
Answer:
540 miles
Step-by-step explanation:
Gallons: 15 18
Miles: 450 x
450 divided by 15 = 30
18 times 30 = 540
Help I forgot to study :(
Answer:
B both are proportional
Step-by-step explanation:
so i think by proportional its linear?
so the graph is linear because its a line and its a function, but for the table we first have to find the slope by using the equation
y2 - y1 / x2 - x1
(4, 1.31) and (8, 2.62) will be the points we will use
2.62 - 1.31 / 8 - 4
1.31/4
0.3275x
now i think we use a point we did not use yet sooo (16, 5.24)
we substitute
y = 0.3275x + b
5.24 = 0.3275(16) + b
5.24 = 5.24 + b
b = 0
so the equation would be
y = 0.3275x
now we check with the last point given
6.55 = 0.3275(20) ?
6.55 = 6.55
so i think the answer is both are proportional ?
If triangle PQR were similar to triangle XYZ, then which angle would correspond to angle Q?
A.) Angle X
B.) Angle Y
C.) Angle Z
Answer: B) Angle Y
Step-by-step explanation:
If we rotate the triangle PQR we will get R is correspond to X, Q is correspond to Y, and P is correspond with Z.
Taj asked 27 classmates whether they know how to write calligraphy. He used a calculator to compare the number of classmates who said yes to the total number he surveyed. The calculator showed the result as 0.111111111. How many students know how to write calligraphy?
Answer:
3 classmates
Step-by-step explanation:
1/9 = 0.111111...
27 x 1/9 = 3
Write a proof for the biconditional using the conditional and converse.
A triangle is equilateral if and only if all the side lengths of the triangle are equal.
Answer: see below
Step-by-step explanation:
Hypothesis (p): A triangle is equilateral
Conclusion (q): The side lengths are equal
Conditional (p → q): If a triangle is equilateral, then its side lengths are equal.
The conditional statement is TRUE
Converse (q → p): If the side lengths of a triangle are equal, then it is equilateral.
The converse statement is TRUE
Since p → q and q → p are both TRUE, then it is biconditional.
There were 1,000 gold coins in the treasure
chest. Each pirate received 5% of the loot.
How many gold coins did each pirate get?
Answer:
50 gold coins
Step-by-step explanation:
5%=5/100
therefore 5% of 1000
=5%×1000
=5/100×1000
final answer would be 50 coins...
Write one solution to the inequality 7(3-x)>14. Explain your reasoning.
Answer:
x>1
Step-by-step explanation:
21-7x>14
-7x>-7
x>1
Answer:
x<1
Step-by-step explanation:
7(3-x)>14
21-7x>14
-7x>-7
x<1
5x50 please help me please
Answer:
250
Step-by-step explanation:
add all numbers which gives the number
Riley went shopping for a new video game because of a sale. The store was offering a 50% discount. If the price on the tag was $28, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
$14
Step-by-step explanation:
28/2 = 14
An object is launched at 18.4 meters per second (m/s) from a 36.8-meter tall
platform. The equation for the object's height s at time t seconds after launch is
s(t) = -4.9t2 + 18.4t + 36.8, where s is in meters.
Answer:
Step-by-step explanation:
Given the equation for the object's height s at time t seconds after launch is
s(t) = -4.9t^2 + 18.4t + 36.8
Since are not asked what to look for, we can as well lok for the time taken for the ball to hot the ground. The ball hits the ground at when s(t) = 0. The equaton becomes:
0 = -4.9t^2 + 18.4t + 36.8
Multiply through by -10
49t^2 - 184t - 368 = 0
factorize the resulting expression
t = 18±√184²-4(49)(-386)/2(49)
t = 18±√338564+75656/78
t = 18±√414220/78
t = 18±643.599/78
t = 661.559/78
t = 8.48secs
Hence the object reaches that ground after 8.48seconds
In the formula for average rate of change, what does the triangle in front of the x and y stand for?
interval between x and y
c. delta notation change in yover change in x
b
initial value of x and y
d. the percent rate of change of y and x
a
Please select the best answer from the choices provided
A
B
С
D
The triangle represents delta notation change in y over change in x. the correct option is C.
What is the rate of change?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.
The average rate of change is calculated by the formula,
Rate of change = Δy / Δx
Here, the triangle represents the rate of change of the y coordinate with respect to the rate of change of the x coordinate.
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A clothing store owner decided to track customers' reasons for returning items. She found that 9% of customers do not provide a reason, 29% say the item did not fit, 13% find a flaw with the item and 4% changed their mind about the purchase. The remaining customers returns gifts purchased for them. What is the probability that out of 40 returns on a given day, 20 are gifts that are being returned?
Answer:
0.102542
Step-by-step explanation:
Given that 9% of customers do not provide a reason, 29% say the item did not fit, 13% find a flaw with the item, and 4% changed their mind about the purchase.
So, the total percentage of items returned due to no reason, unfit, flaw, and due to changing mind
=9%+29%+13%+4%=55%
As the remaining customers returned gifts purchased for them, so, the percentage of customers who returned gifts =100-55=45%.
So, the fraction of customers who returned gifts=45/100=0.45.
Now, observe that if 1 item returned, there is a chance of 0.45 that the item is a gift.
Moreover, there are only two possibilities for any idem, i.e the idem was a gift or not a gift, so the number of total returned items can be considered a Bernoulli's population.
Let p be the probability of a returned item which is the same for all the returned items,
p=0.45
So, according to Bernoulli's theorem, the probability that out of n=40 returns on a given day, r=20 are gifts is
[tex]\binom{n}{r}p^r(1-p)^{n-r}=\binom{40}{20}(0.45)^{20}(1-0.45)^{40-20}[/tex]
[tex]=0.102542[/tex]
Hence, the probability that 20 returned items are gifts among the total 40 returned items is 0.102542.
100 POINTS!!!!!!
Determine which function has the greater rate of change, if either.
EXPLAIN YOUR ANSWER
help please and thanks :)
Answer:it’s 72
Step-by-step explanation:
2 friends went to see a movie. 1 friend ordered a movie ticket for $5.50 and a popcorn for $3.75. The other friend ordered a movie ticket and a drink for $3. If they wanted to split the cost evenly, around how much did each friend pay? which anseris it a piece
$6.13 a piece
$8.88 a piece
$7.95 a piece
$10.05 a pie
Answer:
$8.88
Step-by-step explanation:
5.50+5.50+3.75+3.00=17.75÷2=8.88
Answer:
Its A.
Step-by-step explanation:
Add the price up to find the total: 5.50 + 3.75 + 3 = $12.25. Since there were 2 people and they wanted to split the cost- they pay half half. So 12.25 divided by 2 is $6.12.5 but you gotta round it to get an answer hats there so you round it up to 6.13.
Write an equation for a line through (-2,4) with m= -4 in standard form.
A)4x + y = - 4
B)4x - y = - 4
C)-4x - y = 4
D)-4x + y = - 4
Answer:
4x+y=-4
Step-by-step explanation:
gradient(m)=y2-y1/x2-x1
the line also passes through points (x,y) and (-2,4)
-4=4-y/-2-x
cross multiplying
8+4x=4-y
option(A):4x+y=-4
is your answer.
Crackers come in packages of 24 cheese slices come in packages of 18 and he wants one cheese slice for each cracker Patrick me the statement below if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each is Patrick statement correct use numbers or words to explain why were you know if Patrick's exclamation is not correct what should he do?
Answer:
Patrick's statement is incorrect
Step-by-step explanation:
Crackers come in packages of 24
cheese slices come in packages of 18
He wants one cheese slice for each cracker
Patrick made the statement below "if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each"
Patrick's statement is incorrect
The lowest common multiple ( L. C. M) of 24 and 18 is 72
Therefore, Andy needs 72 packages of crackers and 72 packages of cheese slice so that no crackers or cheese slice will remain.
Which pairs of points tell you the relation in the graph is not a function?
pls help :)
Answer:
should be (-4,4) and (-4,-4)
Answer:
(-4,4) and (-4,-4) because a function can only have one y value for any x value.
Joshua bought a book series at 40% the original price. The discount on the book series came out to $18 of. What was the regular price book series?
Answer:
$25.20
Step-by-step explanation:
18.00 + 40% = 25.20
Find the unknown side:
V
u
2.5
85
26
Answer:
u ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ TUV, that is
[tex]\frac{t}{sinT}[/tex] = [tex]\frac{u}{sinU}[/tex] , substitute values
[tex]\frac{2.5}{sin26}[/tex] = [tex]\frac{u}{sin85}[/tex] ( cross- multiply )
u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )
u = [tex]\frac{2.5sin85}{sin26}[/tex] ≈ 5.7 ( to 1 dec. place )
A fire hydrant is 30 in. tall and casts a shadow 8 in. long. how tall is a
nearby tree that casts a shadow 4 ft long?
Using proportions, it is found that a tree that casts a shadow 4 ft long is 180 in. tall.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a fire hydrant that is 30 in. tall and casts a shadow 8 in. long. We want to find the height of a tree that casts a shadow of 4 ft = 4 x 12 = 48 inches. Hence, the rule of three is given by:
30 in - 8 in
h in - 48 in
Applying cross multiplication:
h = 48 x 30/8
h = 6 x 30.
h = 180 in.
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Find the area of this trapezoid. Be sure to include the correct unit in your answer.
9 cm
13 cm
5 cm
21 cm
If 1 foot ≈ 0.305 meter, approximately how many feet are in 8 meters? Round to the nearest tenth, if necessary.
Answer:
26.22 foot
Step-by-step explanation:
The relation between foot and meter is given by :
1 foot = 0.305 meter
We firstly find value of 1 meter in terms of foot.
So,
[tex]1\ m=\dfrac{1}{0.305 }\ \text{foot}[/tex]
To find no of foot in 8 meters, multiply [tex]\dfrac{1}{0.305 }[/tex] by 8 i.e.
[tex]8\ m=\dfrac{1}{0.305 }\times 8\ m\\\\=26.22\ \text{foot}[/tex]
So, there are 26.22 foot in 8 meters.
What is the value of z?
Answer: 58 degrees
Step-by-step explanation:
We can see that this triangle is an isosceles triangle so that means the two bottoms angles will be equal
Point S must be equal to point U
z = 58 degrees
Check if this is true:
Angle sum of a triangle: 180 degrees
58 + 58 = 116
180 - 116 = 64
Point T is 64
58 + 58 + 64 = 180