The number of children who wore both orange and black will be 8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.
Then the number of children who wear costumes and black & orange. Then we have
⇒ 46 - 18 - 12
⇒ 46 - 30
⇒ 16
Half of the guests will go in costumes that are neither black nor orange. Then we have
⇒ 16 / 2
⇒ 8
Then the number of the children who orange and black will be
⇒ 16 - 8
⇒ 8
The number of children who wore both orange and black will be 8.
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The table below represents the amount, in grams, of a substance remaining after t years.
Answer:
D
Step-by-step explanation:
The equation we'd use for this problem is y=a(1-b)^x (exponential decrease)
a is the initial amount, the number in the parentheses is the amount it decreases by, and x is time.
The initial amount is 8,500 since that is what we start with after 0 years. By looking at the chart we can see that the number decreases over time by a constant rate of .5, so that is the number in the parentheses. You then end the equation with ^t since t would be time in years
:D
PLEASE HELP ME
TEMPERATURE The hottest temperature recorded in Key West, Florida, was 98°F. This was 25°F colder than 3 times the coldest temperature
recorded in Key West. Which equation can be used to find the coldest temperature recorded in Key West? What is the coldest temperature
recorded in Key West?
A) 3T + 2598; 24.3°
O B) T+25=98; 73°
O C) 3T98; 32.7"
OD) 3T-25= 98; 41°
The equation that can be used to find the coldest temperature recorded in Key west is 3T - 25°F = 98°F and the coldest temperature recorded is 41°F.
What is an equation?The equation represents the relationship of two expressions on either side of the sign.
We have,
The hottest temperature = 98°F.
And that this was 25°F colder than 3 times the coldest temperature.
If we let the coldest temperature be denoted by T
We can write an equation as:
98°F + 25°F = 3T
Subtracting 25° on both sides.
98°F = 3T - 25°F
3T - 25°F = 98°F
The coldest temperature recorded in key west:
3°T - 25°T = 98°F
3°T = 123°F
T = 103°F / 3
T = 41°F
Thus the equation that can be used to find the coldest temperature recorded in Key west is 3T - 25°F = 98°F and the coldest temperature recorded is 41°F.
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coefficients, and constants
g+12 +9g
The variable in the expression is g.
The coefficient of g is 10.
The constant term is 12.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
g + 12 + 9g
Add the like terms.
10g + 12
Now,
The variable in the expression is g.
The coefficient of g is 10.
The constant term is 12.
Thus,
The coefficient is 10.
The constant is 12.
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The following addition problem is not correct if the numbers are interpreted as base 10. In what number base is the problem correct? 66 87 85 48
The base is 24.
Let the base be b. we know that b>8
If we added everything, it would look something like this:
66 + 87 + 85 + 48
=132
Adding up the one's digit gives us 26, so we have 26 mod b=2
The only options for b are b = 12 or 24.
If b = 12, the sum of the one's digit would be [tex]22_{12}[/tex] so we could carry the 2 to the tens column. Adding everything up would give us [tex]24_{12}[/tex] the answer is [tex]242_{12}[/tex]
That means the base is 24.
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Find an open sentence p(n) over the domain s = {13, 25, 37, 49} such that p(n) is true for half of the integers in s and false for the other half.
An open sentence p(n) over the domain s = {13, 25, 37, 49} such that p(n) is true for half of the integers in s and false for the other half is -
p(n) = {n : n = x², where x = 5,7}.
What is sets and its types?A set is a clearly defined group of objects. A capital letter is used to name and represent sets. In set theory, the elements of a set can be anything: people, writing of the letters, numbers, shapes, variables, and so on.
Roster from: A roster notation is the most common way to represent sets, with the elements of the sets enclosed in curly brackets and separated by commas. Set B, for example, is the accumulation of the initial five even numbers: 2,4,6,8,10.Set Builder Form: The set builder designation has a specific rule or statement that describes the common trait of all set elements. The set builder form is represented by a vertical bar with text describing the characteristics of the set's elements. A = k | k, for example, would be an even number, k 20.For the given question;
A set is given s = {13, 25, 37, 49}.
We have to write this set in the open sentence form/set builder form such that its true for half of the integers in s and false for the other half.
Thus,
p(n) = {n : n = x², where x = 5,7}.
Its true for 5,7 and false for other values;
For 5 we have 25 value in set S and for 7 we have its square 49 in the set.
Thus, the set in open sentence p(n) = {n : n = x², where x = 5,7}.
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3. If a = -2 and b = 6, find the value of each of the
following.
ii) 6a - b
i) 2a + b
iii) 3a - 26
v) a +3ab
iv) 4ab
vi) a² + b²
Write the equation of a circle in STANDARD FORM given that the center lies at
(-13, 13) on the graph and the circle has a radius of 4.
The equation of the circle in the standard form is:
(x + 13)² + (y - 13)² = 4².
What is defined as the equation of the circle?The equation for a circle with (h, k) center and radius r is as follows:(x - h)² + (y - k)² = r².This is the equation's standard form. And thereby, if we learn the coordinates of the circle's center and radius, we can quickly find its equation.For the given question;
The centre of the circle lies at (-13, 13).
Thus, (h. k) = (-13, 13).
The radius 'r' of the circle is 4 units.
Put the values in the standard form.
(x - (-13))² + (y - 13)² = 4²
(x + 13)² + (y - 13)² = 4² is the (standard form)
Therefore, the equation of the circle with radius 4 in the standard form is represented as: (x + 13)² + (y - 13)² = 4²
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two friends Natasha and Trisha shared a sum of money in the ratio 5:3 respectively. if Trishia share is $ 120 calculate the total amount of money shared
The money shared by Natasha and Trisha is $160.
What is defined as the term ratio?A ratio is a measure of 2 or more numbers which indicates their relative sizes. A ratio compares two amount by dividing them, with the dividend or number divided referred to as the antecedent and thus the divisor or number divided referred to as the consequent.Let the amount paid by the Natasha is 'x'
And the amount Paid by Trisha is 'y';
Their amounts are in the ratio of 5:3
Thus, x/y = 5/3
Trisha shares a amount of $120.
y = $12.
Then, put y = 120 in the ratio.
x/y = 5/3
x = 5y/3
x = (5×12)/3
x = 5×4
x = 40 (amount shared by Natasha)
Total amount = Natash's share + Trisha's share
Total amount = 40 + 120
Total amount = 160
Thus, the total amount of money shared is $160.
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which conversion factor can you use to convert meters to feet?
select all that apply
3fy/1yd
12in/1ft
1.09yd/1m
1m/1.09yd
1ft/12in
1yd/3ft
The conversion factor to convert meters to feet is 3.281 feet per meter.
What conversion factor should we use to convert meters to feet?
According to dimensional analysis, a quantity in a given unit can be converted into another quantity in a given unit of the same kind by using a conversion factor, whose formula is shown below:
Y = A · X
Unit representation
[Y] = ([Y] / [X]) · [X]
In this problem we need to convert a SI length unit into an US length unit. A meter is approximately equal to 3.281 feet or 1.094 yards.
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Determine the value of x.
The photo is not visable, can you type the question iin the comments I WILL solve it :)
AD = 6x - 4 and AC = 4x - 3
Answer:
CD= 2x-1
Step-by-step explanation:
AD = 6x-4
AC = 4x - 3
CD= AD- AC
CD= 6x-4 - (4x - 3)
CD= 6x - 4 - 4x +3
CD= 2x -1
Therefore, the value of CD= 2x-1
Please HELP! what is −1/4 ⋅ (−6/11)?
Answer:
[tex] \frac{3}{22} [/tex]
or 0, 14 rounded off to two dp
j^² - 5k for j = -4 and k = -1
Answer:
21
Step-by-step explanation:
Hello!
Substitute the values of j and k and evaluate.
Evaluate[tex]j^2 - 5k[/tex][tex](-4)^2 - 5(-1)[/tex][tex]16 + 5[/tex][tex]21\\[/tex]The evaluated value is 21.
Please help this is due tomorrow
Answer: 150, 4/2, 0.5/2
Step-by-step explanation:
Evaluate.
10/1⋅(−4)
Enter your answer in the box.
Answer:
Step-by-step explanation:
-40
please help, very important question!!!
Describe in words where the square root of 75 minus 13 would be plotted on a number line.
Between 8 and 9, but closer to 8
Between 8 and 9, but closer to 9
Between −4 and −5, but closer to −4
Between −4 and −5, but closer to −5
The place where the square root of 75 minus 13 would be plotted on a number line will be C. Between −4 and −5, but closer to −4.
How to calculate the value?It should be noted that square root means the number multiplied that will give the original value.
In this case, the square root of 75 is 8.66. Then we will subtract 13 from it. This will be:
= 8.66 - 13
= 4.34
Therefore, the place where the square root of 75 minus 13 would be plotted on a number line will be between −4 and −5, but closer to −4.
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Answer:
The person above was correct about the answer! I took the risk for you guys to make sure it was right, and it was! good luck on your exam!! :D
Raj is visiting the United States and needs to convert 2,000 rupees to US dollars how much would he get
Answer:
25,09
Step-by-step explanation:
So, you've converted 2000 Indian Rupee to 25.145200 US Dollar. We used 79.538043 International Currency Exchange Rate. We added the most popular Currencies and CryptoCurrencies for our Calculator. You can convert Indian Rupee to other currencies from the drop down list. Selling 2000 Indian Rupee you get 25.145200 US Dollar
Answer:
$ 26
Step-by-step explanation:
Current exchange rate : 1 ruppee / .013 dollar
2000 r / (1 r / .013 dollar) = 26 dollars
Write a quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3)
The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)
What is quadratic function?A quadratic function is one of the following: f(x) = ax2 + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can expand up or down, and their "width" or "steepness" can vary, but they all share the same basic "U" shape.
According to the given data:The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3)
We utilize equation when p and q are the roots.
y = a(x- p)(x-q)
We are given with roots 4 and -2
y = a(x- 4)(x-(-2))
y = a(x- 4)(x + 2)
Now we use the given point (3,-3) to find out 'a'
3 = a(3- 4)(3 + 1)
3= a(-1)(-2)
3= 1a
a = 1/3
Replace the value of 'a'
f(x) = 1/3(x-4)(x-2)
The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)
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Problem 12 how do u do this
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
Let's set up some equations based on the information given:
You purchased a desk for 60% of the original price, p[tex]\hookrightarrow \text{60 percent of p} = \frac{60}{100} *p=0.6p[/tex]
The price that you paid is $32 less than your paid is:[tex]\hookrightarrow \text{'32 less than p'} = p-32[/tex]
Therefore:
[tex]\hookrightarrow \text{You paid '0.6p' or 'p - 32'}[/tex]
[tex]\hookrightarrow \text{The equation is } '0.6p = p-32'[/tex]
[tex]0.6p=p-32\\p-0.6p=32\\0.4p=32\\p = 80[/tex]
Answer:
Equation: 0.6p = p - 32Original Price of desk: $80Hope that helps!
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An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model P = -2²+ 17t + 180, where 1 st≤ 6. Find the day that 210 students had the flu. Recall that the restriction on this at most 6.
Submit Answer
Answer:
At the 3rd day 160 students caught flu.
Step-by-step explanation:
Consider the provided model P = − t ² + 13t + 130 where 1 ≤ t ≤ 6
The total number of students is represents by P.
We need to find the day that 160 students had the flu.
Substitute the value of P=160 in above formula.
Hence the value of t=10 or t=3
But it is given that 1 ≤ t ≤ 6, Therefore select t=3
Hence, at the 3rd day 160 students caught flu.
The metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note to nec ? .
The metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).
What are identification purposes?For identification purposes, an acceptable ID MUST be issued by a Federal, State, County, or Municipal entity. For identification purposes, the single document must include the following criteria: photo, name, address (home/employer), date of birth, and be issued by a Federal, State, County, or Municipal entity.[Refer The table 300.1(C) below.]
Therefore, the metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).
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The correct question is given below:
The metric designators and trade sizes are for identification purposes only and are not actual dimensions as pointed out in the note to Table?
A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
Simplify m7m−4.
please please helpppp
Answer:
[tex]m^8-4[/tex]
Step-by-step explanation:
[tex]Rule: a^b\cdot \:a^c=a^{b+c}\\=m^7m=m^{7+1}\\=m^{7+1}-4\\=m^8-4[/tex]
in the sketch below abc is not drawn to scale constuct abc next to its sketch below
The letter A is not drawn to scale in the sketch below. construct ABC next to its below-listed sketch The amount of force applied over a specific distance is referred to as work. Since the problem already specifies the force's value and the length of the distance it is exerted across, the quantity of labor completed requires multiplying these two numbers. As demonstrated below:
work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.
Work: Force times Distance
Work = 250 J x 50 N * 5 m
Work = 250 J
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The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answer:
£124
Step-by-step explanation:
first of all, you're meant to add all the figures given on the pie chart, which is 29+137+58+62+74 and that will give you a total of 360 degrees
so, you say 360 degrees is equal to the total amount of money he spent, which is £720, what about 62 degrees
therefore, you just do (62×720)÷360
that will give you £124
Natalie surveyed 800 of the students in her school about their favorite color. Students could choose between blue and red. 77% said their favorite color was red. How many students' favorite color was blue?
30 points
The total number of students whose favorite color was blue is 184 students.
Total number of students Natalie surveyed in her school = 800
Given the percentage of students who said their favorite color was red = 77%
Now to calculate 77% of the total students is
= 77% of 800
= 77/100 * 800
= 616
The number of students who said red was their favorite color was 616.
So, the number of students who stated that blue was their favorite color
= total students - red color favorite students
= 800 - 616
= 184
Therefore, There are a total of 184 students whose favorite color is blue.
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Passes through (-3,2) and perpendicular to the line containing (2,3) and (1,-2)
Answer:
(1,-2)
Step-by-step explanation:
Passes through (-3,2) and perpendicular to the line containing (2,3) and
is the value of the 1 in 1,440,000 10 times as great as the value of 4 in the hundred thousands place explain
Answer:
Yes because first ( right to left) 4 is 400,000 while the other 4 is 40,000
Step-by-step explanation:
40,000x 10= 400,000
thanks
Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day workec second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to after how many days, d, Danae would make the same amount of money regardless of the job she choose
Answer: 120d + 1,500 = 110d + 2,500
Step-by-step explanation:
Answer:
$1,500 + 120d = $2,500 + 110d
Step-by-step explanation:
Just in case you want the solution as well:
10d = 1000
d = 100
Step-by-step solution, please?
Answer:
28y - 4
Step-by-step explanation:
multiply 28 by everything in the bracket
28y - (28/7)
28y - 4