d. You pay $9 for a burger and some amount for dessert for a total of $16.
Step-by-step explanation:We have the following equation:
[tex]9+x=16[/tex]
So the variable of this equation is the amount of money. According to the statement we have that:
A burger costs $9.A dessert costs $xThe total you pay is $16If we solve this equation, we have that:
[tex]x=7[/tex]
So the dessert costs $7. Finally, you pay $16 for the burger and the dessert as follows:
You pay $9 for the burger.You pay $7 for the dessert.You pay a total amount of money = $16Answer:
You pay $9
$
9
for a burger and some amount for dessert for a total of $16
$
16
.
Step-by-step explanation:
During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. if the first caller has a chance to win $100, which equation finds the amount the 10th caller receives, if the 10th is the first to answer the question correctly?
Answer:
a is correct on edege
Step-by-step explanation:
How many terms are in the arithmetic sequence 6, 2, −2, …, −102?
Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference
27
28
29
30
Final answer:
Calculate the number of terms in the arithmetic sequence 6, 2, -2, ..., -102 using the provided formula to find it is 28.
Explanation:
In mathematics, an Arithmetic Progression (AP) is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference, denoted by d.
Arithmetic sequence: 6, 2, -2, ..., -102
Formula: an = a1 + d(n - 1)
Identify a1 = 6 and an = -102Calculate d = an - a1 = -102 - 6 = -108Substitute the values into the formula and solve for n to find the number of termsTherefore, the number of terms in the arithmetic sequence is 28.
Harry needs to paint a cereal box for a school project. What measure should he use to find the total amount of paint he needs to cover the cereal box with paint? area lateral area surface area volume.
1. area
2. lateral area
3. surface area
4. volume
Answer: C
Step-by-step explanation:
Carla sells hot coffee, cider and tea from a sidewalk cart near wall street in new york city. last month she sold $4,500 worth of product to 1,000 customers. she spent $800 on buying her beverages in bulk. her monthly costs are: utilities = $100, salary = $2,000, advertising = $0, insurance = $0, interest = $0, rent (cart) = $600, depreciation = $0. what are carla's fixed costs?
It is 3500
Carla sells hot coffee, cider and tea from a sidewalk cart near wall street in new york city. last month she sold $4,500 worth of product to 1,000 customers. she spent $800 on buying her beverages in bulk. her monthly costs
PLease dont answer if you dont know...
Use the Law of Sines to find side "b" of the triangle.
What does a residual value of 1.3 mean when referring to the line of best fit of data set?
-a data point is 1.3 units above the line of best fit
-a data point is 1.3 units below the line of best fit
-the line of best fit has a slope of -1.3
-the line of best fit has a slope of 1.3
A residual value of 1.3, when referring to the line of best fit of a data set, means that,
⇒ a data point is 1.3 units above the line of best fit.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
To find a residual value of 1.3 mean when referring to the line of best fit of data set.
Since, A residual is defined as the difference between the observed value of a dependent variable and the predicted value of that variable using the regression equation.
Hence, In this case, the residual value of 1.3 indicates that the observed value of the dependent variable is 1.3 units above the predicted value, or the line of best fit.
Thus,
A residual value of 1.3, when referring to the line of best fit of a data set, means that,
⇒ a data point is 1.3 units above the line of best fit.
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please verify my probability answer!!!
Answer:
1/4
Step-by-step explanation:
Hope this helped :)
A card is drawn from a standard deck of cards. Determine whether the events are mutually exclusive or inclusive. Then, find the probability.
P(a red card or a queen)
a.
inclusive, 15/26
c.
inclusive, 7/13
b.
mutually exclusive, 15/26
d.
mutually exclusive, 7/13
The events are mutually inclusive and the required probability is p(getting a red or a queen) is 28/52 = 7/13
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here A card is drawn from a standard deck of cards. Now There are some events that can impact each other or that are overlapping. They have one or more outcomes in common. When events have outcomes in common, they are said to be overlapping events, also known as mutually inclusive events. Thus this event is defenitely inclusive.
Now the probability that a red card or a queen is =( 26 red cards + 2 black queens ) /52
= 28/52
=7/13
Hence, The events are mutually inclusive and the required probability is p(getting a red or a queen) is 28/52 = 7/13
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the supplement of angle t is 4 times the measure of angle t
12 POINTS
Simplify i38.
i
−1
−i
1
Answer:
-1
Step-by-step explanation:
I got this correct on my quiz
i^38 = -1
The points F(3, 5) and G(0, –4) are the endpoints of the graphed line segment. What are the coordinates of the point P on the line segment such that P is the length of the line segment from G?
The points F(3, 5) and G(0, –4) are the endpoints of the graphed line segment. Hence the required coordinate point is (9/4, 11/4).
What is the coordinate of the point which divides a line segment in a specified ratio?Suppose that there is a line segment [tex]\overline{AB}[/tex] such that a point P(x,y) lying on that line segment [tex]\overline{AB}[/tex] divides the line segment [tex]\overline{AB}[/tex] in m:n, then, the coordinates of the point P is given by:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
where we have:
the coordinate of A is[tex](x_1, y_1)[/tex]
and the coordinate of B is [tex](x_2, y_2)[/tex]
The coordinate point between two points P and G divided between ratios a and b is expressed as;
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
Given the coordinate points F(3, 5) and G(0, –4) divided within the ratio 1:3
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{1(0) + 3(3)}{1+3} , \dfrac{1(-4)+ 3(5)}{1+3} \right)\\\\(x,y) = \left( \dfrac{9}{4} , \dfrac{11}{4} \right)[/tex]
Hence the required coordinate point is (9/4, 11/4).
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The sum of the squares of two consecutive positive even integers is 100. find the two integers
Let's denote the two consecutive positive even integers as x and x+2.
We know their squares sum up to 100, represented mathematically as:
x^2 + (x + 2)^2 = 100.
Expanding this equation, we get:
x^2 + x^2 + 4x + 4 = 100.
Combining like terms gives us:
2x^2 + 4x - 96 = 0.
This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 2, b = 4, and c = -96.
We can solve this quadratic equation for x using the quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)] / 2a.
Substituting a, b, and c into this formula, we find that:
x = [-4 ± sqrt((4)^2 - 4*2*-96)] / 2*2,
x = [-4 ± sqrt(16 + 768)] / 4,
x = [-4 ± sqrt(784)] / 4,
x = [-4 ± 28] / 4.
So the solutions are x = (28 - 4) / 4 = 6 and x = (-28 - 4) / 4 = -8.
Since we are looking for positive even integers, we discard the negative solution.
Therefore, the two consecutive positive even integers are 6 and 6 + 2 = 8.
Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.
What is the area of a square
Is 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 a number?
A lucky integer is a positive integer which is divisible by the sum of its digits. what is the least positive multiple of 9 that is not a lucky integer?
what equations is equivalent to y = log x
dy/dx = y/x^2
dy/y = dx/x^2
ln y * ln c = -1/x
cy = e^(-1/x)
y = ce^(-1/x)
A gallon of Moo Milk costs \$5.12$5.12dollar sign, 5, point, 12. What is the price, in dollars, of an 888 ounce glass of Moo Milk? There are 128128128 ounces in 111 gallon.
Answer:
0.32
Step-by-step explanation:
The ration of gallons to cost is 1:$5.12
We want to know the ratio of ounce to cost.
We need to convert gallons to ounces.
There are 128 ounces in 1 gallon.
So, if one Moo Milk costs $5.12, then 128 ounces also cost $5.12
The ratio of ounces to cost is 128:$5.12
Now, we can find an equivalent ratio to find the cost for 1 ounce.
Then we can multiply by 8 to find the cost of 8 ounces
Ounces ---------> Cost
128 ------------> 5.12 (Both divided by 128)
1 -------------> 0.04 (Both times 8)
8 ------------> 0.32
An 8 ounce of Moo Milk costs $0.32
Bricklayers use the formula N = 7LH to estimate the number of bricks N needed to build a wall of height H and length L. What is the height of a wall that is 30 feet long and that requires 2,310 bricks to build? a. 12 ft c. 11 ft b. 10 ft d. 20 ft
Assuming a truck container holds 24 cases, how many cases would 6 truck containers hold?
In which type of quadrilateral are consecutive sides congruent?
Select the best answer from the choices provided.
trapezoid
parallelogram
square
rectangle
Final answer:
A square is the quadrilateral with congruent consecutive sides. It is an equilateral rectangle and a special type of parallelogram with equal-length sides and right angles.
Explanation:
The type of quadrilateral in which consecutive sides are congruent is a square. A square is a special type of parallelogram where all sides are equal in length and all angles are right angles. When considering a square as a rectangle (which technically it is), its diagonals (which are equal in length) bisect one another at right angles, suggesting the property of being an equilateral rectangle. Furthermore, in a larger context, if we treat the sides of any parallelogram symmetrically, such as in a notation [PQRS], the order can change to [QRSP], [QPSR], and [PRQS] without affecting its properties, which aligns with the symmetric nature of a square's sides.
Factor the trinomial below.
6x2 – 9x – 6
A. 3(2x + 1)(x – 6)
B. 3(2x + 2)(x – 1)
C. 3(2x + 1)(x – 2)
D. 3(2x + 6)(x – 1)
Answer:
C. 3(2x+1)(x-2)
Step-by-step explanation:
To factor the trinomial 6x² - 9x -6, we will follow the steps below;
First, 3 is common among the three numbers, so we will start by factoring out 3, so that the expression becomes;
3(2x² - 3x - 2)
We will now proceed to factorize; 2x² - 3x - 2
Find two numbers such that its product gives -4 and its sum gives -3.
Such number is -4 and 1
-4 × 1 = -4
-4 + 1 = -3
We will replace -3x by -4x + x in the above expression
2x² - 4x + x - 2
(2x² - 4x) (+x - 2)
In the first parenthesis, 2x is common, so we will factor out 2x while in the second parenthesis 1 is common, so we will factor out 1. Hence;
2x(x - 2) + 1(x-2)
(2x+1)(x-2)
3(2x² - 3x - 2) = 3(2x+1)(x-2)
6x² – 9x – 6 = 3(2x+1)(x-2)
Therefore the factorized form of 6x² – 9x – 6 is 3(2x+1)(x-2)
Explain why the graph shown may be misleading.
Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40
What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?
a. 5,832 cm
b. 2,916 cm
c. 1,944 cm
d. 972 cm
Find the volume of the cylinder in terms of Pie. The diagrams are not drawn to scale.
a. 52.8 m
b. 58.08 m
c.127.78 m
d. 29.04 m
) a pair of fair dice is rolled. what is the probability that the sum of the top faces is a number 10 or greater?
Can someone answer this question for me as well.
The equation tan-1 (9.4/8.2) = x can be used to find the measure of angle LKJ. What is the measure of angler LKJ? Round to the nearest whole degree.
*KL = 7.7 cm, LJ = 8.9 cm*
The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers to decorate for a graduation party. Find the diameter of the roll after the decrease. Round your answer to the nearest hundredth.
The diameter of the roll of streamers after the circumference decreases to 7 inches is approximately 2.23 inches.
To find the diameter after the circumference decreases, we can use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter.
Initial circumference, C₁ = 9 inches.After using some streamers, the new circumference, C₂ = 9 inches - 2 inches = 7 inches.Using the formula C₂ = πd₂, we solve for d₂:Therefore, the diameter after the decrease is approximately 2.23 inches.
two angles are drawn below. the measure of angle x is 90
a. 20
b. 60
c. 100
d. 120