The Sum of the given numbers is 30.80.
What do we mean by the sum of numbers?When we add two or more numbers, the result or answer is known as the SUM. Addends are the numbers that are added. In the preceding example, 6 and 4 are addends, and their sum is 10. In other words, the sum of 8 and 5 equals 13, or 8 plus 5 equals 13.SUM:
12.15 + 16.85 + 1.7429 + 1.7430.74Rounding off to nearest tenth = 7 + 1 = 30.80
Therefore, the Sum of the given numbers is 30.80.
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What do the equations have in common? y = -2 x + -3 y = -2 x + -3
Answer:- the equation have -2x common.
how to find the measure of angles in a rhombus if one angle is 47°
to solve this question, we have to understand one fundamental rule that "the opposite sides of a rhombus ABCD are equal and consecutive angles are supplimentary also the sum of the total angles is equal to 360". knowing this, we can proceed to solve for the remaining angles
since we already know the value of one side == 4
Find the equation for the line that passes through (-1, 10) that has slope 5/7. You do not need to simplify.
Give your answer in point-slope
Answer:
y = (5/7)x + (75/7)
Step-by-step explanation:
If you ever find yourself in a math class where you have to write the equation of a line that goes through a certain point and has a certain slope, don't panic. There is a simple formula that can help you out. It's called the point-slope form and it looks like this:
y - y1 = m (x - x1)
It may look scary, but it's actually pretty easy to use. All you have to do is plug in the values that you know and solve for the ones that you don't. For example, let's say you have a line that passes through the point (-1, 10) and has a slope of 5/7. You can use the point-slope form to write the equation of the line like this:
y - 10 = (5/7) (x - (-1))
See? That wasn't so bad. Now you can simplify the equation by distributing the 5/7 and adding 10 to both sides. You get:
y = (5/7)x + (75/7)
And that's it! You have written the equation of the line in slope-intercept form, which is another way of writing the equation of a line. You can check your answer by plugging in the values of x and y from the original point and seeing if they make the equation true. If they do, you're good to go. If not, you made a mistake somewhere and you should go back and fix it.
Congratulations! You have learned how to use the point-slope form to write the equation of a line. Now you can impress your math teacher and your friends with your skills. Remember, with great power comes great responsibility.
✧☆*: .。. That's all folks, have fun with math! (✧ω✧) .。.:*☆✧
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answer:
46666
Step-by-step explanation:
Where is √95 located on a number line?
Answer:
[See Below]
Step-by-step explanation:
✦ \(\sqrt{95} =9.74679434\)
~Hope this helps Mate. If you need anything feel free to message me.
-I have included a number line as well...
Students who exercise before school are thought to concentrate better in school what is the independent and dependent variables
For the situation described, we have that:
The students are the independent variable.The concentration is the dependent variable.What are the dependent and the independent variables in a study?We have that:
The input is the independent variable.The output is the dependent variable.In this problem, the concentration is dependent of the student, which is the input, hence:
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What clockwise rotation is equivalent to a 90° counterclockwise rotation?
Answer: 270°
Step-by-step explanation:
A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:
= 360 - 90
= 270°
If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.
Help Help Help!!!!!!
Carrie's starting annual salary is $54,020. At the beginning of each new year, she recieves a 2,535 raise. What will her salary be after 15 years?
A. $86,975
B. $89,510
C. $92,045
D. $98,510
Answer:
Step-by-step explanation:
B is the answer
Answer:
C is the answer
Step-by-step explanation:
2,535 x 15= 38,025 + $54,020= $92,045 or C
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Beth eats 2300 calories per day. She eats 600 calories at breakfast and 1.5 times at lunch. If she eats three meals with not snacks, which meal contains the most calories
Lunch
Step-by-step explanation:
she eats 900 cals at lunch, but at dinner she has 800 and breakfast she has 600. 900 is the most cals so lunch is the meal with the most calories.
limx→−2 x−8/3x2−5x+5.
\( \frac{2x - 8}{3 \times 2 - 5x + 5} \)
\( = \frac{2x - 8}{6 - 5x + 5} \)
\( = \frac{ -8 }{6 -3x + 5} \)
\( = bro \: \: i \: \: don.t \: \: kmow\)
Answer:
\( - \frac{2(x + 4)}{ - 5x + 11} \)
Step-by-step explanation:
\(1. \: \frac{ - 2(x + 4)}{3 \times 2 - 5x + 5} \\ 2. \: \frac{ - 2(x + 4)}{6 - 5x + 5} \\ 3. \: \frac{ - 2(x + 4)}{ - 5x + 11} \\ 4. \: - \frac{2(x + 4)}{ - 5x + 11} \)
There is your answer
Alyssa identifies the ordered pair for point K on the coordinate plane as (4,2). у K 5 4. 3 2 1 0 1 2 3 4 5 Use the drop-down menus to explain Alyssa's error. Look at the ordered pair on the graph and describe how to plot the ordered pair correctly Alyssa Alyssa should have written the distance from the origin (ordered pair of Origin) to point K along the axis first and the distance from the origin to point K along the axis second. Describe the location of Point K. It is V and v from the origin. The ordered pair should be
Solution
- The point shown on the graph that Alyssa plotted is actually (2, 4) not (4, 2).
- The correct answer is shown below:
Solve these equations. What could x be? -16-x=0
Answer:
x= -16
Step-by-step explanation:
-16 - (-16)= -16 + 16 =0
Answer:
x=-16 because -16-(-16)=0
2. Kurt designs a square flower garden that has the same area as a rectangular one. The length of the rectangular
garden is 10 feet longer than the side of the square garden. The width of the rectangular garden is 5 feet shorter
than the side of the square. Find the side length of the rectangular garden.
low
The side length of the the rectangular garden are 20 feet by 5 feet.
Calculating the size of a Rectangular GardenLet
s = side length of the square garden
l = length of the rectangular garden
w = width of the rectangular garden
From the problem statement,
area of the square garden = area of the rectangular garden
Since the area of a square is just the side length squared, we can write:
s² = l * w
We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:
l = s + 10
w = s - 5
Now we can substitute these expressions for l and w into our first equation:
s² = (s + 10) * (s - 5)
Expanding the right-hand side, we get:
s² = s² + 5s - 50
0 = 5s - 50
5s = 50
Dividing both sides by 5, we get:
s = 10
Since the side length of the square garden is 10 feet.
We can use this to find the dimensions of the rectangular garden:
l = s + 10 = 10 + 10 = 20
w = s - 5 = 10 - 5 = 5
So the dimensions of the rectangular garden are 20 feet by 5 feet.
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20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)
Answer:
315.5cubic in
10.4 x 4.5 x 6.5=
Step-by-step explanation:
Cone B is the image of cone A after dilation by a scale factor of 1/4.
If the volume of cone B is 1 m³, find the volume of cone A, the preimage.
The volume of the Cone A will be 4m³.
What is a cone?
A cone is a shape constructed by connecting a common point, known as the apex or vertex, to all the points of a circular base using a collection of line segments (which does not contain the apex). The height of the cone is the distance from the vertex to the base. The radius of the circular base has been measured. The slant height is the length of the cone from the apex to any point on the perimeter of the base. Based on these values, formulae for the cone's surface area and volume have been developed. The cone in the illustration is characterised by its height, radius of base, and slant height.
Volume of cone=πr²h where r=radius of base and h=height of cone
Curved surface area=πrL , where L=slant height
Now,
As given Cone B is the image of cone A after dilation by a scale factor of 1/4. If the volume of cone B is 1 m³
After dilation volume also decreases/increases with respect to scale factor of dilation. Here scale factor is 1/4
and Then volume of A=1*4
=4 m³
hence,
The volume of the Cone A will be 4m³.
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Answer: it is actually 64m^3
Step-by-step explanation:
i did it and this was the right answer
Which is a function and what is not a function?
What the meaning of statement this?
The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.
Axiom of RegularityThe set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.
The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.
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What are the three ways to represent a proportions
Answer: Product of extremes (numbers on extreme edges) = product of means i.e., ad = bc
a, b, c, d,…. are in continued proportion means, a:b = b:c = c:d
a:b = b:c then b is called mean proportional and b2 = ac
The third proportional of two numbers, a and b, is c, such that, a:b = b:c
d is fourth proportional to numbers a, b, c if a:b = c:d
Step-by-step explanation:
Answer: GoodMorning: ) ✨ According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol '::' or '='. For example, 2:5 :: 4:8 or 2/5 = 4/8.
Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Example : If we buy two pen for 50 Rs. It will cost us 100 Rs for four pen. Two values x and y are said to be inversely proportional to each other when the ratio x:y1 always remains the same.
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Step-by-step explanation:
Cuanto mide el largo de un rectángulo cuyo perímetro es 16cm y su área 12 cm al cuadrado ?
Jared's car can travel 320 miles on 1 tank of gasolin. The gas tank of his car holds 22.4 gallon. If one gallon of gas costs $3.46, how much did he pay in gasif he travelled 563 miles. Round answer to nearest hundredth.
Answer:
39.8, $51.00
Step-by-step explanation:
: 5 times the difference of x and 4.
Answer:
i think -6 but idek
Step-by-step explanation:
Which graph shows the solution of the following system of inequalities :
F
G
H
J
Use the expression 10 x ? Where represents a factor between 1 and 9.What is true about the digit in the ones place of each product? Explain.3rd grade student
In mathematics, every integer in a number has a place value. Therefore, the place value of a number is the value represented by a digit in a number based on its position in the number.
For example, consider the number 30.
3 is in the tens place while,
0 is in the ones place.
Going by the above explanation:
The digit in the ones place in each of the products (10,20,30,40,50,...90) is 0
For every product obtained, it will always have a ones place value of 0
find the distance between the two points
(1, 2), (-3, 5)
Answer:
13
Step-by-step explanation:
if you cannot find the awnser next time try mathaway it gives you the awnser and tells you an explanation.
Thomas obtained a bank loan of k10 000 from BSP bank.He repays the money with 36% interest in one year.Calculate his installment payment he pays in one fortnight?
Thomas' installment payment that he pays in one fortnight is approximately k523.08.
To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).
First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:
Interest = Principal × Interest Rate
= k10,000 × 0.36
= k3,600
The total amount to be repaid is the sum of the principal and the interest:
Total Amount = Principal + Interest
= k10,000 + k3,600
= k13,600
Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:
Number of Fortnights = 52 weeks / 2
= 26 fortnights
To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:
Installment Payment = Total Amount / Number of Fortnights
= k13,600 / 26
≈ k523.08
Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.
It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.
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What is the mode of this data set?
{4, 15, 6, 11, 7, 4, 3, 14}
Answer:
4
Step-by-step explanation:
A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)
One of the authors and some statistician friends have an ongoing series of Euchre games that will stop when one of the two teams is deemed to be statistically significantly better than the other team. Euchre is a card game and each game results in a win for one team and a loss for the other. Only two teams are competing in this series, which we'l call team 1 and team 2.
Required:
a. Define the parameter of interest.
b. What are the null and alternative hypotheses if the goal is to determine if either team is statistically significantly better than the other at winning Euchre?
Answer:
Parameter of interest is the proportion of games won by a certain team.
H0 : p = 0.5
H1 : p ≠ 0.5
Step-by-step explanation:
Parameter refers to any statistical measure which is derived from the population data. Therefore, the parameter of interest in the scenario described above is the proportion of win or loss by a particular team. This could be either team A or team B.
Probability of either of either win or loss :
Proportion, p of win = 0.5
Null hypothesis ; H0 : p = 0.5
Alternative hypothesis ; H1 : p ≠ 0.5
f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10
Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =
Answer:
4x² + 13x + 3 and 2x² - 3x - 17
Step-by-step explanation:
(a)
f(x) + g(x)
= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms
= 4x² + 13x + 3
(b)
f(x) - g(x)
= 3x² + 5x - 7 - (x² + 8x + 10)
= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms
= 2x² - 3x - 17
x + 3 = 0
y = 1
What is the solution of the system?
(3, 1)
(1, 3)
(1, -3)
(-3, 1)
Answer:
1 i think this is answer...