Answer:
18.54
Step-by-step explanation:
15.55 X 7% = 1.0885
15.55 + 1.0885 = 16.6385 X 18% = 2.99493
15.55 + 2.99493 =18.54493
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
100 POINTS!!!!!!
Determine which function has the greater rate of change, if either.
EXPLAIN YOUR ANSWER
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
9 cm
13 cm
5 cm
21 cm
What is the diameter of a circle if the circumference is 18.84 ?
Answer:
6
Step-by-step explanation:
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.
5x50 please help me please
Answer:
250
Step-by-step explanation:
add all numbers which gives the number
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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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.
HURRY I NEED HELP!!!!!!
What are the slope and the y-intercept of the linear function that is represented by the table?
x. y
-3/4. -1/30
-1/2. -2/15
1/4. -13/30
2/3. -3/5
a. the slope is -2/5 and the y intercept is -1/3
b.the slope is -1/3 and the y intercept is -2/5
c.the slope is 1/3 and the y intercept is -2/5
d.the slope is 2/5 and the y intercept is -1/3
Answer: a. the slope is -2/5 and the y-intercept is -1/3
Step-by-step explanation:
Find the slope by finding the difference in x-values divided by the difference in y-values
(1/4 ,-13/30) and (-3/4, -1/30) are useful values
-13/30 --1/30 = -12/30 = -2/5 is the rise
-1/4 - -3/4 = 1 is the run (-2/5)/1 Division by 1 leaves the original numerator)
the slope is -2/5
To find the y intrcept, substitute the y and x values from any given coordinate into the slope intercept form and solve for b
y= mx + b
-3/5 = (-2/5)(2/3) + b
-9/15 + 4/15 = b
-5/15 = b
-1/3 = b This is the y-intercept
Screenshot below of graph illustrates this solution
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
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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help please and thanks :)
Answer:it’s 72
Step-by-step explanation:
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]
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)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
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
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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If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x) a.0 b.1 c.x d.f(x)
Answer:
x
Step-by-step explanation:
The composition of a function and its inverse is x.
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.
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance. his card has an apr of 11.45%, compounded monthly. at the beginning of may, greg had a balance of $318.97 on his credit card. the following table shows his credit card purchases over the next few months. month cost ($) may 46.96 may 33.51 may 26.99 june 97.24 june 112.57 july 72.45 july 41.14 july 101.84 if greg makes only the minimum monthly payment in may, june, and july, what will his total balance be after he makes the monthly payment for july? (assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. round all dollar values to the nearest cent.) a. $812.86 b. $830.31 c. $864.99 d. $1,039.72 please select the best answer from the choices provided a b c d
The total balance of Greg account after he makes the monthly payment for July is $864.99.
How to find monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.
His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.
In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,
[tex]P=46.96+33.51+26.99+318.97\\P=426.43[/tex]
The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.
The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.
The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.
The total balance of Greg account after he makes the monthly payment for July is $864.99.
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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.
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
find f(-1) with the graph
we can see the point ( - 1 ; - 2) on the line
so
f(-1) = - 2
as a point is ( x ; f(x) )
Answer:
f(-1) = -2
Step-by-step explanation:
f(-1) means find the value at x = -1
The y value at x=-1 is -2
f(-1) = -2
hellppp pleaseeeeeee
Answer:
a. All sides are the same length
a. 60 degree for each angle
b. Parallelogram, rhombus
c. trapezoid
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]
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3
Answer:
y - 5 = -3(x - 12)
Step-by-step explanation:
Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
Plug in the point and the slope:
y - y1 = m(x - x1)
y - 5 = -3(x - 12)
So, y - 5 = -3(x - 12) is the equation in point slope form of the line.
Answer:
y-5 = -3(x-12)
Step-by-step explanation:
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
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...
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 )