Answer:
215
Step-by-step explanation:
7*(6+2)4-9
7*8*4-9
56*4-9
224-9=215
Answer:
7.12.2= 168
Step-by-step explanation:
168 x 168 =28224
28224-3= 28221
28221 x 28221 = 796424841
What is the amount of simple interest saved on a savings deposit of $1,500 for 18 months at an interest rate of 6%?
Answer:
$135
Step-by-step explanation:
Given data
Principal= $1,500
Time= 18 months = 1.5 years
Rate= 6%
The formula for simple interest is given as
SI= PRT/100
Substiute
SI= 1500*6*1.5/100
SI= 13500/100
SI= $135
Hence the simple interest after 18months(1.5 years) is $135
CAN SOMEONE PLEASE ANSWER THIS QUESTION ASAP!!
Fran bought some art supplies from an online retailer. The retailer charges a $5.95 shipping fee or 6% of the total purchase price, whichever is
greater. If Fran's total purchase is $124.50, how much shipping will she pay?
Answer:
Step-by-step explanation:
if 124.50 represents 100%
how much x represents 6% ?
cross multiply
x= 124.50*6/100= 7.47
$7.47 > $5.95 so it will pay $7.47 in shiping
Answer:
The answer is 7.47
Step-by-step explanation: Hope this helped
Use the square root property of equality to solve
(x - 3)2 = -4.
The solutions are
Answer: 3 +\- 2i
Step-by-step explanation:
Just took the assignment
Answer:
c. 3 +\- 2i
Step-by-step explanation:
edge 2020
The sum of the first five terms of an arithmetic progression is 65/2.Also ,five times the 7th is the same as six times the second term . Find the first term and the common difference of the AP.
The first term and the common difference of the Arithmetic Progression which the given sum of the first 5 terms are respectively; 6 and 1/4
What is the nth term of an arithmetic sequence?We are told;
Sum of first 5 terms of the AP = 65/2
Formula for sum of n terms of an AP is;
S = ⁿ/₂(2a + (n - 1)d)
65/2 = ⁵/₂(2a + 4d)
⇒ 65 = 5(2a + 4d)
13 = 2a + 4d ------(1)
Formula for the nth term of an AP is;
aₙ = a + (n - 1)d
five times the 7th term is the same as six times the second term.
7th term is; a₇ = a + 6d
second term is; a₂ = a + d
Thus;
5(a + 6d) = 6(a + d)
5a + 30d = 6a + 6d
a = 24d
Put 24d for a in eq 1 to get;
13 = 2(24d) + 4d
13 = 52d
d = 13/52
d = ¹/₄
Thus; a = 24(¹/₄) = 6
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y = f(x) = -1x
find f(x) when x = 3
Hello!
f(x) = -1x
f(3) = -1*3 = -3
Two 6-sided dice are rolled. What is the probability that the sum is odd and the number on one of the dice is a 5?A. 1/2B. 1/36C. 1/12D. 1/6
given a two 6-sided dice,
so, the possible outcomes are:
Possible Outcomes = (5,2), (5,4), (5,6), (2,5), (4,5), (6,5)
so the probability that the some is odd is,
Probability = 6/36
=1/6
which is option D
A factory packed 85 teddy bears into large boxes for delivery to a toy store. Each large box held 9 teddy bears. The remaining bears was packed into a small box. How many teddy bears were packed in the small box. what i am asking is what the remainder for this question.
Answer:
9.4
Step-by-step explanation:
85/9=9.4...
I put ... at end because it continues forever the 4s I hoped I helped
Triangle JKL, with vertices J(-7,-9), K(-4,-8), and L(-5,-6), is drawn inside a rectangle, as shown below.
Triangle JKL's area is 3 square units as a result.
How is area of triangle determined in coordinate geometry determined?The vertices' coordinates and the following formula must be used to determine the area of triangle JKL:
Area equals 1/2*base*height
We must first determine the triangle's height and base length. The distance between points J and K, which is the base, is:
base = √[(x2 - x1)² + (y2 - y1)²]
= √[(-4 - (-7))² + (-8 - (-9))²]
= √[3² + 1²]
= √10
The height is calculated as the distance between point L and the base-containment line. To calculate it, we can use the following formula for the separation between a point and a line:
height = |(y2 - y1)x0 - (x2 - x1)y0 + x2y1 - y2x1| / √[(y2 - y1)² + (x2 - x1)²]
= |(-9 - (-8))(-5) - (-7 - (-4))(-6) + (-4)(-9) - (-8)(-7)| / √[(1)² + (3)²]
= 6 / √10
Now, we can enter the height and base values into the triangle's area formula:
Area = 1/2 * √10 * 6 / √10
= 3
Triangle JKL's area is 3 square units as a result.
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Solve.
34.2 = 13.4 + 9.6x
Enter your answer as a mixed number in simplest form in the box.
x =
Question content area top
Part 1
A new bank customer with $ wants to open a money market account. The bank is offering a simple interest rate of %.
a. How much interest will the customer earn in years?
franciso makes $12 per hour doing part-time work on saturdays
Francisco is probably a beaner or mongrel with no business working or even existing in a white nation.
>) Solve:
1) 7 millions
thousands
hundred
Answer:
70
Step-by-step explanation:
1 million = 10 hundred thousands because 100,000 x 10 = 1,000,000
Peter's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.75, which he bought Monday through Thursday. On Friday, he decided to buy 2 slices of pizza instead of buying the school lunch. If the pizza costs $1.60 per slice, then how much of the money is left at the end of the school week?
A.
$21.50
B.
$16.40
C.
$14.80
D.
$16.55
Answer:
b
Step-by-step explanation:
b is the answer i'm sure of it
Answer:$16.40
Step-by-step explanation:
Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.
Answer:
17550 solutions
Step-by-step explanation:
Given that:
y1 +y2+y3+y4=27
where;
(yi ≥ 0 and yi \(\epsilon\) \({\displaystyle \mathbb {Z} }\) )
The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.
i.e
\(\bigg(^{27}_{4} \bigg)\)
∴
The number of nonnegative integer solution is \(\bigg(^{27}_{4} \bigg)\)
\(= \dfrac{27!}{4!(27-4)!}\)
\(= \dfrac{27!}{4!(23)!}\)
\(= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}\)
\(= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}\)
\(= \dfrac{421200}{24}\)
= 17550 solutions
Several years ago, Hugo bought some gold valued $1,000 per ounce. When he went to sell it, it was worth $1,381.90 per ounce. What was the percent of increase in the value of the gold?
Answer:
The answer would be 38.19%
Step-by-step explanation:
1000 x .3819 = 1,381.90
X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
What is the coefficient of 20x?
Answer:
20
Step-by-step explanation:
A coefficient is the number that is attached to the variable.
In this case, the number attached to the variable is 20.
Therefore, the coefficient is 20
hope this helps :)
Given: A = { 1, 2, 3, 4 } , B = { 1, 3, 5, 7 } , C = { 2, 4, 6 } .
Step-by-step explanation:
I hope you like my answer. Thanks.
A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?
Answer:
Rounded to the nearest tenth, $.0.11 per fish stick
Step-by-step explanation:
I divided the cost of the fish sticks, $1.95, and how many in each pack, 18, so the answer was 0.10833333333... and that rounded would be $0.11
Hope this Helps
What value of y is a solution to this equation? -13= -y/3 -15
Answer:
Hello!!
The value of y in the equation \(-13=\frac{y}{3} -15\) is...
\(y=6\)
Step-by-step explanation:
To solve for the variable y, you must simplify both sides of the equation then isolating the variable.
Hope this helps!!
Solve for x and the missing measures given QS = 34 and TS = 3x + 2
Answer:
x = 5
TS = 17
QT = 17
Step-by-step explanation:
The tick marks show us that line segment QT is equal to TS.
QS = QT + TS and QT and TS are the same length
34 = 2(3x + 2) Distribute the 2
34 = 6x + 4 Subtract 4 from both sides
30 = 6x Divide both sides by 6
5 = x
Substitute in 5 for x
3x + 2
3(5) + 2
15 + 2 = 17
TS is 17
QT is 17
Order: NS 1,500 ml over 15 h. After 6 hours 1,200 ml remain in the bag. The facility policy indicates that flow rate adjustments may not exceed 25% of the original rate. Recalculate the flow rate so that the infusion will finish on time, and decide if the adjustment is within the guidelines.
Answer:
ask ya fadaaaaaaaaàaaa
Step-by-step explanation:
guvdhcjnhcxh
10. The set of prime numbers greater than 11 with the cardinality of 5.
The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}
How to determine the setFrom the question, we have the following parametes that can be used in our computation:
Set = prime numbers
Cardinality = 5
The cardinality implies that the number of elements in the set is 5
5 prime numbers greater than 11 are 13, 17, 19, 23, 29
Hence, the set is {13, 17, 19, 23, 29}
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The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
Which of the following represents an EFFICIENT point of production?
A. Point B
b. Point A
c. Point D
d. None
Answer:
d none
Step-by-step explanation:
because they are sloping down
Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train
9514 1404 393
Answer:
56 mph, 26 mph
Step-by-step explanation:
The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...
s + (s+30) = 82
2s = 52 . . . . . . . . . . subtract 30
s = 26 . . . . . . . . . divide by 2
s +30 = 56 . . . the speed of the other train
The speeds of the two trains are 56 mph and 26 mph.
Which statement is an example of the distributive property?
O 3+ (2)(15) = 3(2) + 3(15)
O 3(2 + 15) = 3 + 2(3) + 15
O 3(2 + 15) = 3(2) + 3(15)
O 312 + 15) = 3(2) + 15
What is the answer?
Answer:
Third option
Step-by-step explanation:
The distributive property of multiplication states that \(a(b+c)=a(b)+a(c)\), where \(a\), \(b\), and \(c\) are any real numbers. Therefore, we just have to find the equation out of our options that is in the form \(a(b+c)=a(b)+a(c)\). The only equation out of our options that does so is the third option. In that equation, \(a=3\), \(b=2\), and \(c=15\). Hope this helps!
Explain two ways that knowing the probability of an event occurring can
be useful.
If knowing the probability of an event occurring is known then it can be turned into one's favour as well as it can be obstructed if not in favour.
What is probability?A way to determine the likelihood of something occurring is through probability. Many things are hard to predict with 100 percent certainty. We can only predict the likelihood of an event occurring or how likely it is using it. A probability can be between 0 and 1, with 0 signifying an impossibility and 1 signifying a certainty.
If the likelihood of an event occurring is known, one can attempt to influence the outcome in accordance with the likelihood.
The possibility of altering the likelihood that the event will go in one's favour is another useful tool.
Therefore, being aware of the probability can be beneficial.
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Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,100. Assume that the standard deviation is $1,400.
Required:
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain.
Answer:
a) The z-score for a backyard structure costing $2300 is -0.57.
b) The z-score for a backyard structure costing $4900 is 1.29
c) A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d) Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
Step-by-step explanation:
Z-score:
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is more than two standard deviations from the mean(lesser than -2 or more than 2), the score X is considered an outlier.
In this question, we have that:
\(\mu = 3100, \sigma = 1400\)
a. What is the z-score for a backyard structure costing $2300?
We have to find Z when \(X = 2300\). So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2300 - 3100}{1400}\)
\(Z = -0.57\)
The z-score for a backyard structure costing $2300 is -0.57.
b. What is the z-score for a backyard structure costing $4900?
We have to find Z when \(X = 2300\). So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{4900 - 3100}{1400}\)
\(Z = 1.29\)
The z-score for a backyard structure costing $4900 is 1.29
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier?
We have to find the z-score when X = 13000. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{13000 - 3100}{1400}\)
\(Z = 7.07\)
Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.