Answer:
1
Step-by-step explanation:
a negative minus a negative makes it positive
for ex. - (-17) = 17
Answer: The answer is 35
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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A teacher uses 36 cm of tape to hang up nine student projects. at that rate, how much tape would the teacher need to hang up 10 student projects
Answer: 40 centimeters of tape
Step-by-step explanation:
36/9 = 4
4 centimeters of tape for each student project
4*10=40
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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On September 1, Horton purchased inventory items on credit with the terms 1/15, net 30, FOB destination. Freight charges were $840. Payment for the purchase was made on September 18. Assuming uses perpetual inventory system and the net of accounting for purchase discounts, what amount is recorded as inventory from this purchase? a. $39,501. b. $40,341 c. $40,740 d. $39,900.
Assuming uses perpetual inventory system, the amount is recorded as inventory from this purchase is $39,501. So, the correct answer is option (A).
What is Perpetual Inventory System ?
A perpetual inventory system includes using real-time inventory tracking to grow your account with purchases and decrease your account with sales. A perpetual inventory system is often more time consuming and expensive, but the efficiencies it creates exceed the costs of large businesses. If you use a perpetual inventory system, your rebates are credited to your inventory. This is reduced the inventory record.
Amt. Invoice = $39,900
Freight charges = $840
Purchase discount or Less= $39,900 × 1%
= $399
The amount recorded as inventory
= $39,900 - $399
= $39,501
Hence, the required recorded amount is $39,501.
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Complete question:
$39,900 of inventory items on credit with the terms 1/15, net 30, FOB destination. Freight charges were $840. Payment for the purchase was made on September 18. Assuming Horton uses the perpetual inventory system and the net method of accounting for purchase discounts, what amount is recorded as inventory from this purchase?
a. $39,501.
b. $40,341
c. $40,740
d. $39,900.
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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simplify theta(sin theta) ²/2tan theta
Step-by-step explanation:
When θ is very small, θ ≈ sin θ ≈ tan θ.
θ (sin θ)² / (2 tan θ)
θ³ / (2θ)
θ² / 2
Solve for x:4x-15≤ 5
we add 15 on both sides to remove -15
\(\begin{gathered} 4x-15+15\le5+15 \\ 4x\le20 \end{gathered}\)divide both sides to remove 4
\(\begin{gathered} \frac{4x}{4}\le\frac{20}{4} \\ \\ x\le5 \end{gathered}\)x must be less than or equal to 5
Please answer i will brainliest:D
Jeremy is training for a race.When he trains,He runs on a path that is 1.25 miles long.Last week,Jeremy ran on the path 5 times,plus an extra 1.37 miles.How many miles did Jeremy run on the path last week
A.6.255
B.6.38
C.7.62
D.19.95
This is Lesson 4.5 5th grade go math book
Answer:
c.
Step-by-step explanation:
1.25x5=6.25
6.25+1.37=7.62
C) 7.62 miles
We can make an equation out of this.
5(1.25)+1.37=6.25+1.37=7.62
The answer for
2(c) = 2c
Answer:
Any real number could be true for this equation.
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?
Help Enter a recursive rule and an explicit rule for each geometric sequence.
The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1
How to determine the ruleThe recursive rule
From the question, we have the following parameters that can be used in our computation:
The table
The table definitions imply that we simply multiply 2 to the previous term to get the current term
This means that
f(n) = f(n - 1) * 2
Where
f(1) = 9
The explicit rule
The table definitions imply that we simply multiply 2 to the previous term to get the current term
a = 9
r = 2
So we have
f(n) = a * r^n-1
This gives
f(n) = 9(2)^n-1
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What is the solution to the system of equations
The solution of the given system of equations is (-1, -2).
Explain the method of substitution?Three steps make up the substitution technique: For each of the variables, solve one equation. Put this expression (or plug it in) into the other equation, then solve it. To identify the corresponding variable, rewrite the value's original equation.We are aware that a linear system of equations can be solved using a substitution method.
The intersection of the two lines represents the system's solution.
The given equations are-
y = 3x+1 ...eq 1
y = -2x-4 ...eq 2
Put the value of eq 1 in eq2 .
3x+1 = -2x-4
3x + 2x = -4 - 1
5x = -5
x = -5/5
x = -1
Put the x in eq 1.
y = 3(-1)+1
y = -2
Thus, the solution of the given system of equations is (-1, -2).
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The complete question is-
What is the solution to the system of equations-
y=3x+1 ;
y=-2x-4
Find the value of x.
a) x=109
b) x=115
c) x=95
d) x=129
Answer:
A 109
Step-by-step explanation:
Pentagram's angles add up to 540. After subtracting all the other angles, you are left with 109.
Answer:
A
Step-by-step explanation:
add all the angles, answer should be 431, then subtract it from 540 (sum of interior angles for a pentagon), this gives u the answer of 109
using the balanced equation 4FE+3O2 --> 2fe2O3 calculate how many grams of Fe2O3 are produced when 42.7 grams of Fe is reacted
The coefficients in the balanced reaction
4 Fe + 3 O₂ → 2 Fe₂O₃
represent the ratio of moles of each reactant to each product. That is, for every 4 moles of Fe and 3 moles of O₂, 2 moles of Fe₂O₃ are produced.
First convert the given amount of Fe into moles. Fe has a molar mass of 55.845 g/mol, so you have
42.7 g × (1/55.845 mol/g) = 0.765 mol
of Fe.
Find how many moles of Fe₂O₃ are produced given this much Fe and an abundant supply of O₂. Multiply the coefficients of the balanced reaction by 0.765/4 :
0.765 Fe + 0.573 O₂ → 0.382 Fe₂O₃
Now convert the amount of Fe₂O₃ to grams. O has a molar mass of 15.999 g/mol, so Fe₂O₃ has a total molar mass of about
2 (55.845 g/mol) + 3 (15.999 g/mol) = 159.687 g/mol
Then the reaction would produce about
0.382 mol × (158.687 g/mol) ≈ 61.0 g
of Fe₂O₃.
Thomas got up at 6:30 in the morning. It took him 10 minutes to get dressed, 20 minutes to eat breakfast and 15 minutes to walk to school which clock shows the time Thomas arrive at school?
Answer:
Clock B
Step-by-step explanation:
6:40: when he got dressed
7:00: to eat breakfast
7:15: to walk to school
Simisola wants to compare the time take
to make yoghurt at different temperature
List the variables she should control.
Yogurt production is affected by the production technological conditions.
What is yoghurt different temperature?Yogurt production is affected by the production technological conditions. Increase in the incubation temperature (42-45ᵒC) resulted to increase in the coagulation of the milk protein present (induced by thermophilic bacteria) and viscosity. This also resulted in increased acidity of the yoghurt.The temperature must be 108°F to 112°F for yogurt bacteria to grow properly. Too high a temperature inactivates bacteria; too low a temperature prohibits growth. Inhibitor substances such as detergent from dishes. Wash and rinse dishes well before making yogurt.Making yogurt at home is a fairly straight-forward process. Heat milk to 180F (82C), cool that milk to at least 110F (43C), add live cultures, usually in the form of yogurt with said cultures, incubate, then chill.There are several variables in the process, some of which are: The fat content of the milk (I typically use whole), how long to hold the milk during the initial heat step, how long it takes to cool the milk, the temperature of the incubation step, and the length of time for incubation, to name a few.To learn more about yoghurt different temperature refers to;
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What value(s) of b will cause 27x2 + bx + 3 = 0 to have one real solution? Select all that apply.A. b = −18. B. b = −9. C. b = 9. D. b = 18.
The value of b is 18 that will cause equation 27x² + bx + 3 = 0 to have real solution.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given equation is,
27x² + bx + 3 = 0.
Compare the given equation from the standard quadratic equation
ax² + bx + c = 0
Compare both the equations,
a = 27, b = b , c = 3
To find the real solution of the quadratic equation,
Substitute discriminant of the equation equal to zero.
D = 0
b² - 4ac = 0
b² - 4 x 27 x 3 = 0
b² = 4 x 81
b = 2 x 9
b = 18.
The required value of b for the given equation is 18.
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Find the area of a rectangle. The perimeter is 92 meters and the length is 6 more than 4 times the width. [?] square meters Enter the number that belongs in the green box. Enter
We have the following:
\(p=2\cdot l+2\cdot w\)Where p is perimeter, l is the length and w is the width, replacing:
\(\begin{gathered} l=4\cdot w+6 \\ p=92 \\ 92=2\cdot(4\cdot w+6)+2\cdot w \\ 92=6w+12+2w \\ 8w=92-12 \\ w=\frac{80}{8} \\ w=8 \end{gathered}\)for the length:
\(\begin{gathered} l=4\cdot8+6 \\ l=38 \end{gathered}\)Now, the area is:
\(\begin{gathered} A=l\cdot w \\ A=8\cdot38 \\ A=304 \end{gathered}\)The anwers is 304 square meters
The larger of two numbers is 4 less than four times the smaller number. The sum of the two numbers is 51. Find the two numbers
What are the numbers?
Answer: 40,11
Step-by-step explanation:
larger number=a
smaller number =b
a+b=51
a=4b-4
4b-4+b=51
5b=51+4
5b=55
b=11
a=4*11-4=44-4=40
Hi can someone who is great at math please help me with these math questions. I'm struggling with them!!
The value of x will be 18.67 for the given data of the triangle.
We have,
Thale's theorem:
When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.
Given that the sides of the triangle are divided into two parts,
For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.
The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-
x / ( x + 7 ) = 16 / 22
22x = 16x + 112
6x = 112
x = 112 / 6
x = 18.67
Therefore, the value of x will be 18.67.
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complete question;
Find the values of x and y. Find value of x.
There are 10 girls in a class. This is 2/5 of the number of all students in the class. How many students are in this class?
Select ALL the correct answers.
Select all the expressions that are equivalent to the polynomial below.
-15x^2 - 29x - 12
-2(4x − 15) − 3(5x2 + 7x + 6)
-2(7x + 1) − 5(3x2 + 3x + 2)
(5x2 − 10x + 8) − (10x2 + 19x + 20)
(-7x2 − 21x + 13) − (8x2 + 8x + 25)
(-19x2 − 4x - 7) + (4x2 + 25x − 5)
(-17x2 + 2x − 3) + (2x2 − 31x − 9)
Step-by-step explanation:
-2 (4x -15) -3 (5x^2 +7x +6 ) = -15x^2 -29x-12
-2 (7x +1 ) -5 (3x^2 +3x +3) = -15x^2 -29x -12
(-7x^2 -21x + 13) -(8x^2+8x+25) = -15x^2 -29x -12
(-17x^2+2x-3)+(2x^2-31x-9) = -15x^2- 29x -12
Answer:
b
d
f
Step-by-step explanation:
\(-15x^2 - 29x - 12\)
\(a. -2(4x - 15) - 3(5x2 + 7x + 6)\)
\(-2(4x - 15) - 3(5x^2 + 7x + 6)\\\\-8x+30-15x^2-21x-18\\\\-15x^2-29x+12\)
wrong
\(b.-2(7x + 1) - 5(3x^22 + 3x + 2)\)
\(-2(7x + 1) - 5(3x^2 + 3x + 2)\\\\-14x-2-15x^2-15x-10\\\\-15x^2-29x-12\)
true
\(c.\ 1(5x^2 - 10x + 8) - 1(10x^2 + 19x + 20)\\\\5x^2-10x+8-10x^2-19x-20\\\\-5x^2-29x-12\)
wrong
\(d. \ 1(-7x^2 - 21x + 13) -1 (8x^2 + 8x + 25)\\\\-7x^2-21x+13-8x^2-8x-25\\\\-15x^2-29x-12\)
true
\(e. \ 1(-19x^2 - 4x - 7) + 1(4x^2 + 25x - 5)\\\\-19x^2-4x-7+4x^2+25x-5\\\\-15x^2+21x-12\)
wrong
\(f.\ 1(-17x^2 + 2x - 3) +1 (2x^2 - 31x - 9)\\\\-17x^2+2x-3+2x^2-31x-9\\\\-15x^2-29x-12\)
true
Hope this helps!
3 20 points A farmer builds a trough to fit in a corner. The trough is made from rectangular prisms. Use the diagram to find length A. What is length A? 8 ft 9 ft 3 ft 2 ft. 3 ft. 4 ft. 5 ft. 7 ft A B 2 ft
The length of A is determined as 5 ft.
What is the length of AIf a farmer builds a trough to fit in a corner and the trough is made from rectangular prisms, the length of A is calculated as follows;
From the given image or diagram, the length A and width B is calculated by applying the properties of a cuboid as follows;
Length A = 8 ft - 3 ft
Length A = 5ft
Width B = 8 ft - 4ft
Width B = 4 ft
Thus, the length of A is determined from the properties of a cuboid.
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What is a logical mathematical argument in which every statement of fact is supported by a reason?
Answer:
a
Step-by-step explanation:
How does the way that a search engine gets and organizes information help you understand why Googling alone is not enough?
Answer:
A search engine organizes information by several different criteria. The number of visits that a site gets will bring it toward the top of the feed. So will more credited websites. Websites that have paid ads are pushed to the top. Googling may not be enough alone because you see what the engine brings to the top. It takes digging to fine other information.
Step-by-step explanation:
please someone
help me i’m stuck
Answer:
10 x \(5\frac{1}{3}\) x \(4\frac{1}{5}\) = 224
Step-by-step explanation:
It is B, hope this helps & please give me brainliest.
A giant panda lives in the Washington, DC zoo. Another panda weighs 90 kilograms and is 110 months old. List the point that corresponds to this panda in the coordinate plane shown.
6th grade math pls help
Answer:
The point represents a 36 months old Panda whose weight is 82kg
Step-by-step explanation:
Given
See attachment for plane
Required
What does the point shown represent
The point is: (36,82)
Age is plotted on the x-axis and weight on the y-axis:
This means that:
\(Age= 36\ months\)
\(Weight = 82\ kg\)
So, the point represents a 36 months old Panda whose weight is 82kg
Answer:
yes
Step-by-step explanation:
Can anyone help please? No links cause I can’t see them.
Answer:
Step-by-step explanation:
you have a right triangle with the hypotenuse of 41 and another side of 40
a=\(\sqrt{41^2-40^2}\)=\(\sqrt{1681-1600}\)=\(\sqrt{81}\)
a=9
Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class
Answer: 15 boys and 10 girls
Step-by-step explanation:
15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.
Answer:
25
Step-by-step explanation:
3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)
15+10=25 total boys and girls