Answer:
8.25
Step-by-step explanation:
To solve, you need to create a system of equations. You will need two variables since you have two numbers. Create your equations based on the descriptions given in the problem.
The difference of two numbers is 4.
x - y = 4
The sum of the two number is -7.
x + y = -7
Your system of equations is
x - y = 4
x + y = -7
You can solve systems of equations through either substitution or elimination. You will get the right answer either way. I will use substitution since that is my preference.
Rearrange the first equation so that it is equal to x.
x - y = 4
x = 4 + y
Plug this x-value into the x in the second equation. Solve for y.
x + y = -7
(4 + y) + y = -7
4 + 2y = -7
2y = -11
y = -11/2
Use the y-value to solve for x. You can plug it into either equation and get the right answer. I will use the first equation.
x - y = 4
x - (-11/2) = 4
x + 11/2 = 4
x = -3/2
Now you have both of the numbers. Multiply to find the product.
-11/2 × -3/2 = 33/4 = 8.25
The answer is 8.25.
How many sides does a regular polygon have
if one of its exterior angles =45°?
Answer:
8 sides.
Step-by-step explanation:
Divide the exterior angle with 360.
360 ÷ 45 = 8
The regular polygon has 8 sides.
Answer:
Step-by-step explanation:
Sum of measures of all angles of a regular polygon = 360 degree
one exterior angle = 45 degree
∴ no of sides = 360/45 = 8 sides
hope this helps
plz mark it as brainliest!!!!!!
The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
The area of a room is roughly 9∗10^4 square inches. If a person needs a minimum of 2.4∗10^3 square inches of space, what is the maximum number of people who could fit in this room
Answer:
37
The maximum number of people who could fit in this room is 37
Step-by-step explanation:
Given;
The area of a room A = 9 × 10^4 square inches
Minimum Area needed per person M = 2.4×10^4 square inches
The maximum number of people who could fit in this room is;
N = The area of a room A/Minimum Area needed per person M
N = A/M
Substituting the values;
N = 9×10^4 ÷ 2.4×10^3
N = 37.5
Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.
N = 37
The maximum number of people who could fit in this room is 37
I’m stuck on this!?!!
Answer:
[tex]x=66^\circ[/tex]
Step-by-step explanation:
[tex]x=\frac{180^\circ - 48^\circ}{2}\\\\=\frac{132^\circ}{2}\\\\=66^\circ[/tex]
Best Regards!
2x + 5y = 12
-2x + 3y = 4
In elimination method
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) What is Miguel’s expected value from playing the game?
Answer:
The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"
Step-by-step explanation:
Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1. In total, there are four balls, so his probability of winning is:
[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]
The chances of losing a dollar add up to that amount, so 5/6.
Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]
[tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]
The final answer is "[tex]-\frac{1}{2}[/tex]"
a store is having a sale on almonds and jelly beans. for 2 pounds of almonds and 3 jelly beans , the total cost is $14. for 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $33. find the cost of each pound of almonds and each pound of jelly beans
Answer:
almonds cost $3.25 per pound and jelly beans $2.50
Step-by-step explanation:
system of linear equations
2a+3j=14
4a+8j=33
solution is (3.25, 2.5)
In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
please help !!
Answer:
DF = 25
Step-by-step explanation:
We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
So,
DF = [tex]\frac{1}{2} AC[/tex]
Where AC = 50
DF = 50/2
DF = 25
URGENT!!!!
An ocicat eats 3/5 of a pound of food daily. How many ocicats can a 19 1/2 -pound bag of food feed for one week? Explain your solution.
Answer:
13 ocicats
Step-by-step explanation:
Here, we are told that an Ocicat eats 3/5 pounds of food per day.
Now, we have a bag of 19 1/2 pound of food and we want to know the number of ocicats this will feed
What we just need to do is to divide the weight of the bag by the amount in pounds that can feed a single ocicat
Thus, we have;
19 1/2 divided by 3/5
= 39/5 divided by 3/5
= 39/5 * 5/3
= 13 Ocicats
Calculate ff(-3). You will get BRAINLIEST.
Answer:
[tex]ff(-3)=-17[/tex]
Step-by-step explanation:
Image attached below.
Work out the range of these numbers : -8, 6, -5, 2.5 thanks!
Answer:
14
Step-by-step explanation:
The range of a given set of values is the lowest value deducted from the highest value.
Lowest value is -8 and highest value is 6.
Therefore,
[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]
Hope it helps!
Chen spins the spinner and rolls a standard number cube. Find the probability that’s the spinner will stop on blue and the cube will show four. Write the probability as a fraction in simplest form. (Spinner shows 4 quarters, all different colors. Yellow, orange, red and blue.)
Answer: 1/24
Step-by-step explanation:
You multiply the fraction of the first probability by the fraction of the second probability.
The spinner has 4 colors, the odds of it landing on blue is 1/4
The cube has 6 numbers, the odds of it landing on 4 is 1/6
1/4 * 1/6 = 1/24
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = [tex]\frac{1}{2} *4[/tex]
= 2 papas secas
Cerdo = [tex]\frac{1}{2} *4[/tex]
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = [tex]1\frac{1}{2} *4[/tex]
= [tex]\frac{3}{2} *4[/tex]
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
Which of the following is the solution to (x-13)<18
Answer:
The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)
A company laid off one-sixth of its workforce because of falling sales. If the number of employees after the layoff is 690, how many employees were laid off?
Answer:
138
Step-by-step explanation:
Let the number of employees before the layoff be x.
1/6 of the company's workers were laid off and the remaining workers are 690. This means that:
1/6 * x = x - 690
=> x/6 = x - 690
=> 690 = x - x/6
690 = 5x/6
=> x = (690 * 6) / 5
x = 828
There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:
828 - 690 = 138 employees
The company's laying off its workforce is an illustration of proportions.
A total of 138 employees were laid off
The proportion (p) laid off is given as:
[tex]p = \frac 16[/tex]
The proportion (q) remaining in the workforce would be
[tex]q = 1 - p[/tex]
This gives
[tex]q = 1 - \frac 16[/tex]
[tex]q =\frac 56[/tex]
The workforce after 1/6 were laid off is given as 690.
So, we have:
[tex]q \times n = 690[/tex]
Where n represents the original workforce
This gives
[tex]\frac 56 \times n = 690[/tex]
Multiply both sides by 6/5
[tex]n = 828[/tex]
The number of employees that were laid off is:
[tex]Employee = 828 - 690[/tex]
[tex]Employee = 138[/tex]
Hence, 138 employees were laid off
Read more about proportions at:
https://brainly.com/question/16981404
Is the following graph a linear function, a nonlinear function, and/or a relation
Answer: Option C.
Step-by-step explanation:
Ok, first, a linear function is something of the shape of:
y = a*x + b.
And the graph of those functions is a line, as the name implies, so we can discard that option.
So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.
Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.
Then the correct option is C, nonlinear, and a relationship.
Which measurement is not equivalent to the others? 1 yard 3 feet 1/100 of a mile 36 inches
Answer: 1/100 of a mile
Step-by-step explanation:
36 inches is equal to 3 feet which is equal to 1 yard
1/100 of a mile = 633.6 inches
Answer:
1/100 of a mile
Step-by-step explanation:
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown: What can be interpreted from the range of this graph?
The range represents the 54-month time period of the study.
The range represents the 36-month time period of the study.
The range represents the number of users each month for 36 months. The range represents the number of users each month for 54 months.
Answer:
The correct answer is C.
Step-by-step explanation:
First, we can eliminate A and D since it is obviously only 36 months.
Note that the question asks what can be interpreted from the range of the graph.
The range is the number of users in thousands (per month) (as can be seen from the side title).
While B is technically correct, it wrongly interprets the range. C is the best choice.
The correct answer is C.
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
The answer is "64".
Step-by-step explanation:
Given:
8-sided fair die
output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
if the Dice is thrown two times. so, the possible outputs are as follows:
[tex]\to 8 \times 8=64[/tex]
[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]
[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]
[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]
[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]
That's why the product is 64.
What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?
Answer:
y - 5 = -7(x - 8)
Step-by-step explanation:
We can immediately adapt y - k = m(x - h) as follows: replace m with -7, h with 8 and k with 5, obtaining:
y - 5 = -7(x - 8)
This is the desired equation in point-slope form.
Find the equation of the circle whose center and radius are given.
center (7.-3), radius = 7
Answer:
(x - 7)² + (y + 3)² = 7
Step-by-step explanation:
The equation of a circle is denoted by: [tex](x -x_1)^2+(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius.
Here, the centre is (7, -3), which means [tex]x_1=7[/tex] and [tex]y_1=-3[/tex]. The radius is r = √7. Plug these values into the formula:
[tex](x -x_1)^2+(y-y_1)^2=r^2[/tex]
[tex](x -7)^2+(y-(-3))^2=(\sqrt{7}) ^2[/tex]
[tex](x -7)^2+(y+3)^2=7[/tex]
Thus, the answer is (x - 7)² + (y + 3)² = 7.
~ an aesthetics lover
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2 3 23 , makes the most sense?
Answer:
b ≤ 26/3
Step-by-step explanation:
All we have to do is divide both sides by 3
3x/3 ≤ 26/x
x ≤ 8.67
A Nissan Motor Corporation advertisement read, "The average man’s I.Q. is 107. The average brown trout’s I.Q. is 4. So why can’t man catch brown trout?" Suppose you believe that the brown trout’s mean I.Q. is greater than 4. You catch 12 brown trout. A fish psychologist determines the I.Q.s as follows: 5; 4; 7; 3; 6; 4; 5; 3; 6; 3; 8; 5. Conduct a hypothesis test of your belief.
Answer:
Step-by-step explanation:
Considering the brown tout,
The mean of the set of data given is
Mean = (5 + 4 + 7 + 3 + 6 + 4 + 5 + 3 + 6 + 3 + 8 + 5)/12 = 4.92
Standard deviation = √(summation(x - mean)²/n
n = 12
Summation(x - mean)² = (5 - 4.92)^2 + (4 - 4.92)^2 + (7 - 4.92)^2 + (3 - 4.92)^2 + (6 - 4.92)^2 + (4 - 4.92)^2 + (5 - 4.92)^2 + (3 - 4.92)^2 + (6 - 4.92)^2 + (3 - 4.92)^2 + (8 - 4.92)^2 + (5 - 4.92)^2 = 28.9168
Standard deviation = √(28.9168/12) = 1.55
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≥ 4
For the alternative hypothesis,
µ < 4
This is a left tailed test
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 12,
Degrees of freedom, df = n - 1 = 12 - 1 = 11
t = (x - µ)/(s/√n)
Where
x = sample mean = 4.92
µ = population mean = 4
s = samples standard deviation = 1.55
t = (4.92 - 4)/(1.55/√12) = 2.06
We would determine the p value using the t test calculator. It becomes
p = 0.98
Assuming a significance level of 5%
Since alpha, 0.05 < than the p value, 0.98, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the brown trout’s mean I.Q. is greater than 4
Please solve this problem. I will give brainliest:
((4x+6)*70)/2=4
Solve for x
Answer:
x = -103/70 or approximately -1.47
Step-by-step explanation:
First, what I would do is get rid of the denominator, 2. You do this by perming the inverse operation to both sides, so you multiply both sides by 2.
Now your equation is: 70(4x+6) = 8
Next what I did was distribute the 70 inside the parentheses:
280x + 420 = 8.
Then you subtract 420 from both sides:
280x = -412
To get x by itself, you have to divide both sides by 280:
x= -412/280 , which simplifies to -103/70 , or can be written as an approximation of -1.47 (rounded to nearest hundredth)
This number looks nasty, but I checked my work so it should be right :)
Answer:
x= −103 /70
Step-by-step explanation:
Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8
Answer:
A
Step-by-step explanation:
[tex](10^{-2})^{4}[/tex]
Apply the law of exponents.
[tex]10^{-2 \times 4}[/tex]
[tex]=10^{-8}[/tex]
Answer:
[tex] = {10}^{ - 8} \\ [/tex]
Answer A is correct.
Step-by-step explanation:
[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]
someone please help :rewrite 2.267 repeating 67 as a simplifed answer
Answer:
2⁵³/₁₉₈
Step-by-step explanation:
2.2676767 = 2.7676767 − 0.5
2.2676767 = 2⁷⁶/₉₉ − ½
2.2676767 = 2¹⁵²/₁₉₈ − ⁹⁹/₁₉₈
2.2676767 = 2⁵³/₁₉₈
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 267676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.676767
990x= 2245x= 2245/990x= 449*5/5*198x= 449/198 x= 2 53/198help asap!!!!!! please
Answer:
Point B is 3/4
Step-by-step explanation:
the number line is split into fourths. Therefore, it is 3/4