Answer:
The total cost will then be $17.5
Answer:
17.5 dollars
Step-by-step explanation:
Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5
The total number of cookies, y, contained in x packages can be represented by the equation y=24x. Which of the following graphs best represents this situation?
Answer: B)
Step-by-step explanation:
By checking which graph is satisfied, we choose points that the function has pass through.
First, we know that y = mx + b, where m is the slope, how the line change; and b is the y-intercept. In this equation, the slope is 24 which the line is increased. So we can eliminate the choice D, the line in D decreased.
Then we find where the first point and second point this graph will be.
When x = 0, y = 24x = 24(0) = 0, (0,24)
When x = 1, y = 24x = 24(1) = 24, (1,24)
1 package can have 24 cookies, only B have 24 cookies in 1 package.
Perform the indicated operation.
3x8+5x/8
After performing the operation, the simplified expression is (192 + 5x)/8.is (192 + 5x)/8.
To perform the indicated operation, 3x8+5x/8, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break down the given expression step by step:
Step 1. Multiply: 3 multiplied by 8 equals 24.
Step 2. Divide: Divide 5x by 8. This can be written as 5x/8. Now, we have simplified the expression to 24 + 5x/8. To further simplify, we need a common denominator. Since 8 is the denominator for 5x/8, we can rewrite 24 as 24/1.
Step 3. Add: Now we can add the two fractions together. The common denominator is 8, so we multiply the numerator and denominator of 24/1 by 8 to make it 192/8. Adding the fractions gives us: (192 + 5x)/8.
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what about these 2 ?
Answer:
11. A) 12
12. D)11
Step-by-step explanation:
11. We substitute x with 12 in 3(x)-11.
3(12)-11=
36-11= 25
We substitute x with 12 for the second equation (x+13).
12+13=25
Both answers match so the answer for #11 is 12.
12.We substitute x with 11 in 4(x)-4.
4(11)-4=
44-4=40
We substitute x with 11 for the second equation (2(x)+18)
2(11)+18=
22+18=40
Both answers match so the answer for #12 is 11.
What is the equation of the following graph in vertex form?
1/(0, 1)
0,1
(-1,0)
-1
Courtesy of Texas Instruments
Oy=(x - 1)
Oy= (x - 1)2 + 1
Oy= (x + 1)2 - 1
Oy= (x + 1)2
The equation of the following graph in vertex form is y = (x + 1)². This equation represents a parabola with its vertex at the point (-1, 0) and opening upwards.
The equation of a quadratic function in vertex form. The vertex form of a quadratic function is given by the equation:
y = a(x - h)² + k
In this equation, (h, k) represents the vertex of the parabola, and 'a' determines the direction and shape of the parabola. The points given are (0, 1), (-1, 0), and the term (x + 1)² is also mentioned.
Using these details, the vertex of the parabola can be identified as (-1, 0), since the term (x + 1)² is present, which corresponds to h = -1. The point (0, 1) can be used to determine the value of 'a'. Plugging in the coordinates (0, 1) into the vertex form equation:
1 = a(0 - (-1))² + 0
1 = a(1²)
a = 1
With these values, the equation of the graph in vertex form is:
y = (x + 1)²
This equation represents a parabola with its vertex at the point (-1, 0) and opening upwards.
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pat wants to buy four donuts from an ample supply of three types of donuts: glazed, chocolate, and powdered. how many different selections are possible?
According to the question, Pat wants to buy four donuts.
Let us assume donuts should be represented as ’D’. And the four donuts can be represented as ‘DDDD’.
Now, as per the question, there are three types of donuts and they are glazed, chocolate and powdered. Divide the donut into two parts as first one is glazed, second is chocolate and third is powdered. And the quantity of glazed is one, chocolate is two and powdered is one. And the total object is six. Therefore, the probability can be written as:
\(P(E) = \frac{6P2}{2} = 15 ways.\)
Hence, there are \(15\) ways to select the donuts.
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
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A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be described by an equation of the form y=mx+b , where x = the time in hours and y = the cost in dollars. What is the value of b in this equation?
Answer:
b = 40
Step-by-step explanation:
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.
This situation can be described by an equation of the form y=mx+b , where
x = the time in hours
y = the cost in dollars.
What is the value of b in this equation?
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair
Writing the above in an equation =
y = $70 × x + $40
y = 70x + 40
Therefore, the value of b in the expression = 40
Can someone please help!!
Answer:
The answer to the first problem is 5 feet.
The answer to the second problem is 19 meters.
Step-by-step explanation:
may i have some hlep pls x-18=2
Answer:
20
Step-by-step explanation:
x - 18 = 2
Add 18 on both sides,
x - 18 + 18 = 2 + 18
x + 0 = 20
x = 20
can someone please tell me the slope
Answer:
1/3 or 0.333 repeat
Step-by-step explanation:
slope or rise over run
2: Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the
measure of angle 4 equals 5x − 52, what is the measure of Angle 1?
3: Suppose that ∠ = 3x + 8 and ∠ = 2/3x + 62
If ∠ and ∠ are supplementary
angles, what is the measure of ∠?
4:Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the
measure of angle 3 equals 9x + 59, find the value of .
Each part of the question is answered above and the angles are given below.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.Given are the angles as mentioned in the question.
[1] -
Since, angle [1] and angle [4] are vertically opposite angles, we can write-
3x + 14 = 5x - 52
14 + 52 = 5x - 3x
2x = 66
x = 33
∠1 = 3x + 14 = 3 x 33 + 14 = 99 + 14 = 113°
∠1 = 113°
[2] -
Since, angle [A] and angle [B] are supplementary angles, we can write-
(3x + 8) + {(2/3)x + 62} = 180
3x + 8 + 62 + (2/3)x = 180
3x + (2/3)x = 110
x{3 + 2/3} = 110
x{(9 + 2)/3} = 110
(11/3)x = 110
x = (110 x 3)/11
x = 30
∠A = 3x + 8 = 3 x 30 + 8 = 98°
∠A = 98°
∠A = (2/3)x + 62 = 2/3 x 30 + 62 = 82°
∠B = 82°
[3] -
Since, angle [2] and angle [3] are vertically opposite angles, we can write -
13x + 27 = 9x + 59
13x - 9x = 59 - 27
4x = 32
x = 8
∠2 = 13x + 27 = 13 x 8 + 27 = 104 + 27 = 131°
∠2 = 131°
∠3 = 9x + 59 = 9 x 8 + 59 = 72 + 59 = 131°
∠3 = 131°
Therefore, each part of the question is answered above and the angles are given above.
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use your calculator to evaluate cos⁻¹(-0.25) to at least 3 decimal places. give the answer in radians.
The value of cos⁻¹(-0.25) in radians to at least three decimal places -1.318.
To evaluate cos⁻¹(-0.25) using a calculator,
1.Press the inverse cosine function (cos⁻¹) or acos on your calculator.
2.Enter the value -0.25.
cos⁻¹(-0.25) =1.823 radians (rounded to three decimal places).
3.Press the equals (=) button to get the result.
Using the calculator, cos⁻¹(-0.25) is approximately 1.823 radians when rounded to three decimal places.
In decimal form the result is 1.823 hexadecimal representation of this decimal value it using a conversion tool or by manual calculation.
Converting the decimal value 1.823 to hexadecimal 0x1.
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you are trying to estimate the percent of people in california who have a college degree. you randomly sample 120 individuals, and 7 of them say they have a college degree. using the appropriate rule of thumb, answer: is it ok to use these numbers to calculate a 95%-confidence interval for the percent of all california residents with a college degree?
To determine if it is appropriate to use the given sample of 120 individuals, with 7 of them having a college degree, to calculate a 95% confidence interval for the percent of all California residents with a college degree, we can apply the rule of thumb for sample size.
The rule of thumb states that for estimating proportions, a sample size should be large enough so that both the number of successes (in this case, individuals with a college degree) and failures (individuals without a college degree) are at least 10.
In the given sample, there are 7 individuals with a college degree. To determine if this meets the rule of thumb, we need to ensure that both the number of successes and failures are at least 10. Since the sample size is 120, the number of failures can be calculated as 120 - 7 = 113.
Since both the number of successes (7) and failures (113) are above 10, the rule of thumb is satisfied. Therefore, it is acceptable to use these numbers to calculate a 95% confidence interval for the percentage of all California residents with a college degree.
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4.
Use Synthetic Division To Solve.
(x3-3x2-7x+6) / (x-2)
A. x2+x+9+ 12 /x-2
B. x2+5x+3+ 12 / x-2
C. x2-5x+3
D. x2-x-9-12/x-2
Answer:
D. x^2-x-9-12/x-2
Step-by-step explanation:
We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:
2 | 1 -3 -7 6
|______2___-2__-18
| 1 -1 -9 -12
The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.
So, we have:
(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)
Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).
Approximately how many liters are in 18 quarts?
Answer:
18 liquid quarts ≈ 17 litres
Answer:
18 us liquid quart =17.034 liters
Step-by-step explanation:
1) 1 us liquid quart = 0.946 liter
2) Multiply 0.946 *18 = 17.034
A penny is dropped from the top of a new building. Its height in feet can be modeled by the equation y = 256 - 16^{2} , where x is the time in seconds since the penny was dropped. How long does it take for the penny to reach the ground?
I would greatly appreciate help with this word problem, thanks!
≧◠ᴥ◠≦✊
Answer:
4 seconds
Step-by-step explanation:
Given equation:
\(y=256-16x^2\)
where:
y = The height of the penny (in feet).x = The time since the penny was dropped (in seconds).The penny reaches the ground when the height is zero, so when y = 0.
Substitute y = 0 into the given equation and solve for x:
\(\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}\)
As time is positive, x = 4 only.
Therefore, it takes 4 seconds for the penny to reach the ground.
Choose the function whose graph is given by:-757ST373122A. y=tan(x-7) - 2B. y=tan(2(x+ π)) + 2C. y=tan(x-7)+2OD. y=tan(x + 2) - π-12h
Given:
There are given the graph of a tan function:
Explanation:
In the given graph, we can see that the vertical shift of the graph is 2 and the phase is:
\(\pi\)Then,
We can see that in option (C), the vertical shift is 2, and the phase shift is pi.
Final answer:
Hence, the correct option is C.
Kelly and Brandon have a combined age of 32.
They have an age difference of 6 (Kelly is older).
Write a system of equations to find out how old Kelly is
and how old Brandon is.
Answer:
Kelly is 19; Brandon is 13
Step-by-step explanation:
k + b = 32. Also: k = b + 6.
Substituting b + 6 for k in the first equation, we get b + 6 + b = 32, or
2b = 26. Then b must be 13, and k must be 13 + 6, or 19.
Kelly is 19; Brandon is 13.
Answer:
Brandon is 13, Kelly is 19.
Step-by-step explanation:
Let's set up our equations.
Kelly and Brandon have a combined age of 32.
K + B = 32
They have an age difference of 6. Kelly is older.
K - B = 6
Let's shift the equation around a little.
K - B = 6
Add B to both sides.
K = B + 6
Now let's plug K into our first equation.
K + B = 32
(B + 6) + B = 32
Combine like terms.
2B + 6 = 32
2B = 26
Divide both sides by 2.
B = 13
Now that we know Brandon is 13, we can find Kelly's age.
K + B = 32
K + 13 = 32
K = 19
Kelly is 19.
Hope this helps!
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
PLEASE HELP FIND LENGTHS!!
slope of OP is 4/7
slope of PQ is 8
slope of QR is 4/7
slope of RO is 8
Quadrilateral OPQR can BEST be described as ?
if OPQR is a rectangle, rhombus, or square. However, we can say that it is a parallelogram.
What is parallelogram?A parallelogram is a quadrilateral (a polygon with four sides) in which opposite sides are parallel and have the same length. It can also be defined as a flat shape with four straight sides where opposite sides are parallel and opposite angles are equal. The two pairs of parallel sides are referred to as bases and heights can be measured as the perpendicular distance between the two parallel sides. The area of a parallelogram can be found by multiplying the length of the base by the height. Parallelograms can have different shapes and sizes, but they always have opposite sides that are parallel and congruent angles across from each other.
we can draw a rough sketch of quadrilateral OPQR and label the slopes of its sides as follows:
Q
| \
| \
8 | \ 4/7
| \
| \
O- - - -P
4/7
We can see that OP and QR have the same slope of 4/7, which means they are parallel. Similarly, PQ and RO have the same slope of 8, which means they are also parallel. Therefore, quadrilateral OPQR is a parallelogram.
To further classify the type of parallelogram, we can use the fact that opposite sides of a parallelogram are equal in length and parallel. Since we do not have any information about the lengths of the sides, we cannot determine if OPQR is a rectangle, rhombus, or square. However, we can say that it is a parallelogram.
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This image shows a square pyramid.
What is the surface area of this square pyramid?
32 ft²
64 ft²
128 ft²
136 ft²
Answer:
please provide the image! would love to help.
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
I took the test
A side of the triangle below has been extended to form an exterior angle of 159°. Find the value of x
Answer:
x=21°Step-by-step explanation:
From the figure
x+159=180°
(linear pair)
x=180-159
x=21°
hope it helps...
have a great day!!
4PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer:
9.3 ft
Step-by-step explanation:
A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 3.25 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter.
7 cm2
15 cm2
26 cm2
52 cm2
Answer:
A=\(26cm^2\)
Step-by-step explanation:
\(h=2.5in(\frac{2.54cm}{1in})=6.35cm\\b=3.25in(\frac{2.54cm}{1in})=8.255cm\\A=\frac{1}{2}bh\\A=\frac{1}{2}(6.35cm)(8.255cm)\\A=26.21cm^2\)
fill in the numbers resulting from the indicated operation: 2 −1 −4 7 3 4 5 5 −1 2 1 −1 2 −1 −4 7
The numbers resulting from the indicated operation:
-1 2 1 -1
3 4 5 5
What is number?A number is a numerical value that is used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics. A number is an arithmetic value used for representing the quantity and used in making calculations. Numericals are written symbols that represent numbers, such as "3." A number system is a writing system for representing numbers using digits or characters in a logical manner. Numbers are used to count, measure, and compare quantities. A number system is a set of symbols, or numerals, that are used to represent numbers.
Here,
The numbers resulting from the indicated operation:
-1 2 1 -1
3 4 5 5
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Answer:
-1 2 1 -1
3 4 5 5
Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m
Answer:
a
Step-by-step explanation:
Answer:
A. L = 240 m
Step-by-step explanation:
use similar triangle
L / 60 = 80 / 20
L = (80 * 60) / 20
L = 240 m
Tyrel walls Mrs.dog each day for 10 per week. how much did he earn each day for walking the dog.
Tyrel gets $10 per week.
A week has 7 days:
Divide the amount earned per week by the number of days in a week (7)
10/7 = 1.42
He earns $1.42 per day.
). a lottery offers one $1000 prize, one $500 prize, and two $50 prizes. one thousand tickets are sold at $4.00 each. find the expectation of winning amount if a person buys one ticket. create a probability distribution as part of your answer.
Expectation = ($1 + $0.50 + $0.40) x $4.00 = $7.40
The expectation of winning amount if a person buys one ticket is $7.40. This can be calculated using the probability distribution below.
Lottery Prize: | Probability: | Win Amount: | Probability x Win Amount:
$1000 | 1/1000 | $1000 | 1/1000 x $1000 = $1
$500 | 1/1000 | $500 | 1/1000 x $500 = $0.50
$50 | 2/1000 | $50 | 2/1000 x $50 = $0.40
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Which ordered pair does NOT satisfy the system x + 2y > 5 and 3x - y < - 2 ? *
A. (-3, 7)
B. (-1, 4)
C. (0, 0.25)
D. (0, 5)
Answer:
Answer is D
Step-by-step explanation:
identify the values of a, b, and c for the quadratic function in standard form y=-8x^2+6x-3
Expand -4(6a - 5)
Please help!!!!
Answer:
-24a+20
Step-by-step explanation:
just use distrubitive property