The common difference is [tex]d=-\frac{25}{2}[/tex]
Explanation:
The difference between the 7th and 9th terms of an arithmetic sequence is 25
Since, we know the general form of an AP is [tex]a_{n}=a_{1}+(n-1) d[/tex]
For [tex]n=7[/tex], we have,
[tex]a_{7}=a_{1}+(7-1) d[/tex]
[tex]a_{7}=a_{1}+6 d[/tex] ---------(1)
For [tex]n=9[/tex], we have,
[tex]a_{9}=a_{1}+(9-1) d[/tex]
[tex]a_{9}=a_{1}+8 d[/tex] ----------(2)
Subtracting (1) and (2), we get,
[tex]a_7-a_9=6d-8d[/tex]
Since, it is given that the difference between 7th and 9th term is 25.
Hence, we have,
[tex]25=-2d[/tex]
Dividing both sides by -2, we have,
[tex]d=-\frac{25}{2}[/tex]
Hence, the common difference is [tex]d=-\frac{25}{2}[/tex]
Since there are three attendees, evaluate the expression
12x + 5 for x = 3.
+ 5 =
120 +5=
The family spent
to attend the game.
Answer:
41
Step-by-step explanation:
If your equation is what it appears, we can put 3 where x is and do the arithmetic:
12·3 +5 = 36 +5 = 41
The family spent 41 to attend the game.
3 fewer than a number p
Answer:
p-3
Step-by-step explanation:
3 fewer would be -3
So it would be p-3
Answer: 3<p
Step-by-step explanation:
3 is fewer than (<) p
hope it helps please give brainliest!
Six is one hundred times ???????????
Answer:
0.06
Step-by-step explanation:
6 is 6.0 and 0.06 times 100 is 6.
Answer:
0.06
Step-by-step explanation:
if you times 0.06 by 10 it is 0.6
if you times it by 100 it is 6
Imani bought books for college and paid 35% of the total cost. Her parents paid the remaining balance of $438.75. The total cost for Imani’s books was $
Answer:
[tex]\$675[/tex]
Step-by-step explanation:
Remember that
[tex]100\%-35\%=65\%=65/100=0.65[/tex]
Let
x ----> the total cost of the books
we know that
The total cost of the book multiplied by 0.65 must be equal to $438.75
so
The linear equation that represent this situation is
[tex]0.65x=438.75[/tex]
solve for x
[tex]x=438.75/0.65\\x=\$675[/tex]
Maria find a local gym that advertises 86 training sessions for $2015 find the cost of 167 training sessions
Answer:$3912.81
Step-by-step explanation:
You can calculate this by finding the cost ofn1 training session and then multiplying by the 167 training sessions
If 86 training sessions =$2015
Then 1training session=2015/86 =$23.43
167 training sessions =$23.43×167= $3912.81
The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is zero. In reality, the level of the sea rises and falls in what are called tides. Low tide is the point of lowest sea level in a tidal period. High tide is the point of highest sea level in a tidal period. The height above or below average sea level is called elevation. An elevation below sea level is considered a negative value, while an elevation above sea level is positive.
Winston lives near the ocean. He regularly brings an altimeter to the beach to measure the elevation of the ocean’s surface. You will use the data Winston gathered to complete tasks about the rising and falling of the ocean’s surface. When necessary, sketch a diagram of the situation on a separate sheet of paper to assist you.
On Monday at 1 p.m., when the ocean’s surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean’s surface. At 7 p.m. when the ocean’s surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean’s surface.
Part A
What was the net change in the elevation of the ocean’s surface from 1 p.m. to 7 p.m.?
At 1 pm the ocean was at a hight tide but at 7pm it was at a low tide this means the tide has been decreasex by 2.6 feet
Step-by-step explanation:
I need help
5x^2 +60x+180=0
Answer:
x
Step-by-step explanation:
x
Answer:
-6
Step-by-step explanation:
khan academy
Find the volume 4 2\5 in 3in 16 3\4in
need help with how to do this 3x2+12x+6=0
Answer:
-2 + sqrt(2)
-2 - sqrt(2)
Step-by-step explanation:
3x² + 12x + 6 = 0
x² + 4x + 2 = 0
Use the quadratic formula:
[-4 + sqrt(4² - 4(1)(2))]/2
-2 + sqrt(2)
[-4 + sqrt(4² - 4(1)(2))]/2
-2 - sqrt(2)
sqrt: square root
plz help me i need work plz
For the given figure;
Perimeter = 41 cm and
Area = 49.5 cm².
Step-by-step explanation:
Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.
Step 2; The figure's area = The rectangle's area + The triangle's area.
The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².
The area of a triangle is given by multiplying [tex]\frac{1}{2}[/tex] with the product of the triangle's base and height. The area of the rectangle = [tex]\frac{1}{2}[/tex] × 6 × 2.5 = 7.5 cm².
The figure's area = 42 + 7.5 = 49.5 cm².
Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.
The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.
The perimeter of a triangle is the sum of all the three side lengths.
The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.
The perimeter of the figure = 26 + 15 = 41 cm.
Identify the center and intercepts of the conic section
Answer:
center: (0, 0)x-intercepts (-3, 0), (3, 0)y-intercepts (0, -5), (0, 5)domain -3 ≤ x ≤ 3range -5 ≤ y ≤ 5Step-by-step explanation:
Your answer is correct except for the intercepts.
The x-intercepts are where the graph crosses the x-axis. Those points are (-3, 0) and (3, 0). They can be identified in a list of points by the fact that the y-coordinate is zero (corresponding to the x-axis).
The y-intercepts are where the graph crosses the y-axis. Those points are (0, -5) and (0, 5). They can be identified in a list of points by the fact that the x-coordinate is zero (corresponding to the y-axis).
PLEASE HELP, WILL MARK BRAINLIEST!! The diagram shows the dimensions of a deck. A student finds the area by adding 16 ft^2 + 48 ft^2. Is the student correct? Explain your reasoning.
Answer:
The student is wrong, the total area = 16 ft² + 20 ft²
Step-by-step explanation:
See the attached figure.
The shown figure is a composite area of:
1) A rectangle with length of 8 ft and width of 4 ft
2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)
The area of the rectangle = length x width = 8 * 4 = 32 ft²
The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²
So, the total area = 32 + 4 = 36 ft²
OR
The figure can be consists of :
1) A square of side length of 4 ft
2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)
So,
The area of the square = 4 * 4 = 16 ft²
The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²
So ,the total area = 16 + 20 = 36 ft²
So,
The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft
So, the student is wrong
What is the area of the figure?
Enter your answer in the box.
❏in²
Answer:32
Step-by-step explanation:
add 10 + 10 + 6 + 6 = 32
there are 800 students at weaver middle school. to determine which mascot name is preferred by the students at the school, each of the 30 teachers surveyed their two top-scoring students. would this be an appropriate sampling technique for the school to use?
Answer:
This would not be an appropriate sampling technique because it is biased and it would not be fair for 60 students to choose a mascot for a school with 800 students.
Step-by-step explanation:
what is seven over one minus one over eight
Answer:
7/1 - 1/8= 6[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Answer:
6.87500
Step-by-step explanation:
Answer the following question
The formula for the area of triangles is lwh × 1/2.
Multiply the length by the width, height, and then by 1/2.
1.1 × 3.8 × 0.5 = 2.09
Since both triangles are equal, both triangles area will be the same, 2.09.
Now multiply the are by 2.
2.09 × 2 = 4.18
The area of the shaded areas equals 4.18in.
Which expression represents the phrase?
"6 less than the sum of 5 and x."
Answer:
6< 5+x
Step-by-step explanation:
sum = addition
sum of 5 and x= add 5 and x
5+x
less than: "<" and it means that the number on the left is less than the number on the right
6 less than= 6 < 5x
The phrase "6 less than the sum of 5 and x" can be represented by the expression:
(5 + x) - 6
Let's break it down to understand how this expression represents the given phrase:
First, we have the sum of 5 and x, which is represented by (5 + x). This part of the expression calculates the sum of 5 and the variable x.
Then, we have "6 less than" which implies subtracting 6 from the sum. This is represented by - 6.
Finally, we combine these two components: (5 + x) - 6.
In this expression, the sum of 5 and x is calculated first, and then 6 is subtracted from that sum, representing the idea of "6 less than the sum of 5 and x."
To simplify further, we can combine the terms:
(5 + x) - 6 = 5 + x - 6 = x - 1
Therefore, the expression "6 less than the sum of 5 and x" can be represented as x - 1.
To learn more about the expression;
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Carissa also has a sink shaped like a half-sphere. The sink has a volume of 660 pi inches cubed. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(A) One cup has a diameter of 5 inches and a height of 8 inches. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(B) One cup has a diameter of 10 inches and a height of 8 inches. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Answer:
A) 40
B) 10
Step-by-step explanation:
A) ⅓×pi×2.5²×8 = 50/3 pi
660pi ÷ 50pi/3 = 39.6
So 40 scoops
B) ⅓×pi×5²×8 = 200pi/3
660pi ÷ 200pi/3 = 9.9
So 10 scoops
(x+4)(x+3)-x(x-2)=48
Step-by-step explanation:
trust me its b i got it right
Which image shows a reflection of triangle ABC over the x-axis?
CLEAR CHECK
Math item response image
Math item response image
Math item response image
Answer:
Please add images.
Step-by-step explanation:
18. Why might funds from a deposited check not be available on the day of deposit? (2 points)
It was made to a bank teller.
It was made into an old account.
It was larger than usual deposits.
It was an account transfer from the same bank.
Answer: Account might need to be reactivated since it is an old account and the sum on the cheque is larger than usual deposit
2) since it is a cheque deposit and the amount is larger than usual deposit, the bank teller will need to make neccessary confirmation from the cheque owner.
Step-by-step explanation:
Funds from a deposited check may not be available on the day of deposit due to processing times for verifying funds, anti-fraud measures for large or irregular deposits, and the clearing process required for checks drawn on different banks.
Funds from a deposited check may not be available on the day of deposit for a number of reasons. One common reason is due to the processing time that is required for the bank to verify the funds from the issuing account. When an individual makes a deposit, the bank needs to ensure that the payer's account has sufficient funds to cover the check. This process can take several business days, especially if the check is drawn on a different bank or financial institution.
Another reason why funds might not be immediately available is due to anti-fraud measures. Banks often hold larger than usual deposits or checks from new accounts for additional scrutiny to prevent fraud. This hold allows the bank to time to confirm the legitimacy of the check before making the funds available to the depositor.
Finally, if both the issuing and receiving account are at the same bank, a simple internal account transfer can occur with no need for an actual movement of physical funds. However, if the banks are different, checks typically go through a clearing process, which might involve an intermediary such as a Clearing House, where the checks are offset against each other and only the net balances are settled. This systematic arrangement usually results in a delay before the deposited funds are available to the account holder.
Part B: Set up an equation and solve for x. In your answer, include the equation, your calculations and the value of x.
Part C: Use your equation from Part A and the value of x from Part B to prove your equation to be true for the adjacent angles in the diagram.
The adjacent angles in the diagram are 112° and 68°.
Step-by-step explanation:
The measure of angle in a straight line is 180°.
Therefore, the sum of the two angles is equal to 180°.
⇒ 2x + 68 = 180
The equation formed to solve for x value is 2x+68 = 180
⇒ 2x = 180 - 68
⇒ 2x = 112
⇒ x = 112/2
⇒ x = 56
∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°
Morgan’s mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?
Answer:
$770.60
Step-by-step explanation:
Simple interest is the same amount every year.
So first you work out 10%, then 5%, and then 1% which then you x3 to get 3%
10% = 72
5% = 36
1% = 7.2
3% = 14. 6
you then add together the 5% and the 3% to get the simple interest, which is
50.6
then you add the simple interest and the money she borrowed and that is your answer
720 + 50.6 = 770.60
Answer:
$900
Step-by-step explanation:
Dan had 249 dollars to spend on 7 books. After buying them he had 18 dollars. How much did each book cost?
First, lets subtract the amount he has after the transaction and the amount he had before the transaction.
249 - 18 = 231
Second, divide by the amount of books Dan bought.
231 / 7 = $33 per book.
Best of Luck!
1. In the figure below, AX'Y'Z' is a dilation of AXYZ. Find
the scale factor of the dilation, and classify it as an
enlargement or a reduction. (1 pt for scale factor, 1 pt for
work shown, lpt for classification.)
Answer:
Enlargement
Factor 2
Step-by-step explanation:
X'Y'/XY = 10/5 = 2
30 points!Describe the differences between the graphs of y = −3x^2 and y = 1/3x^2 .
Answer:
y = -3x²
Is a concave down with a maximum turning point at (0,0)
y = ⅓(x²)
Is a concave up with a minimum turning point at (0,0)
Answer:
Both are parabolas but one is concave up,while the other is concave down as you can see fro the graphs.They also both intersect at the origin
I need a word problem for 4x + 5 = 37
Alexa has 5 grapes. She went to the store and bought 4 times a number. When she counted the grapes, she had 37 grapes in total.
When you make a word problem with this, you will get 4x+5=37
What is the GCF of 12m + 3mx?
Answer:
3m
Step-by-step explanation:
You can check
3m(4+x)
12m+3mx
see
and its gcf because inside () has no common factors
Answer:
3m(4+x)
Step-by-step explanation:
Christopher deposited $1 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answer:
To the nearest cent, Christopher will earn $ 0.13 in 3 years
Step-by-step explanation:
Let's recall that the formula of the compounded interest is:
A = P * (1 + r/n)^nt, where
A = Future value
P = Initial deposit
r = Interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Replacing with the values we know:
A = P * (1 + r/n)^n
A = 1 * (1 + 0.1/1) ³°¹
A = 1 * 1.1³
A = 1 * 1.1331
A = 1.13
Interest = Future value - Initial deposit
Interest = 1.13 - 1
Interest = 0.13
The exterior angles of a quadrilateral have measures of 90°, 38°, 3x°, and x°. Find the value of x.
x=?
Answer:
58
Step-by-step explanation:
The sum of the exterior angles ALWAYS measures 360 degrees, meaning that 90+38+3x+x = 360
This means that 128 + 4x =360, meaning that 4x = 232.
That makes x = 58
To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees. So, solving the equation 90 + 38 + 3x + x = 360 will give us the value of x, which is 58.
Explanation:To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.
So, we have the equation:
90 + 38 + 3x + x = 360
Combine like terms:
4x + 128 = 360
Subtract 128 from both sides:
4x = 232
Divide by 4:
x = 58
Therefore, the value of x is 58.
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