Answer:
3=3x+3
4=2x+8
Step-by-step explanation:
1/3b+11/18 when b=1/6
To answer this question, we have that the expression is:
[tex]\frac{1}{3}b+\frac{1}{18}[/tex]Answer:
Solve for b by simplifying both sides of the equation, then isolating the variable. Exact Form:
b = 3/17 Decimal Form: b=0.17647058
Step-by-step explanation:
In the word BALLOONS, the ratio of vowels to all letters is
3/5
5:3
8/5
3 to 8
Pls show me step by step
The ratio of vowels to all letters in the word is 3 to 8
Given,
The word BALLOONS
We have to find the ratio of vowels to all letters in this word.
Ratio;
Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.
So,
The number of letters in BALLOONS = 8
The number of vowels = 3
The ratio of vowels to all letters in the word = 3 to 8
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I need help with this check the picture
The numbers 7 in the domain and 10 in the range don't belong there.
Describe the domain and range of a function.The domain is the set of values over which the provided function is defined. The range is the set of all values that the function that is provided can return.
How are intervals in numbers understood?[a,b] refers to all values between a and b as well as a and b themselves.
With the exception of b, all values between a and b are referred to as (a,b).
We cannot write about them since we cannot include infinity or negative infinity since they are symbols for arbitrary enormous or tiny numbers, respectively.
Another thing to keep in mind is that when we plot functions, the inputs are typically on the x-axis and the outputs are typically on the vertical axis (y-axis).
Given : (2,7). (8, 12). (5,9). (10.15)
Domain: The initial value of numbers will always apply; 2, 8, 5, 10
Range: Numbers will always have a second value; 7, 12, 9, 15.
What you have here is :
Domain: (2,5, 7, 8, 10)
Range: (7.9. 10. 12. 15)
The problem is that 10 is in the range but 7 is in the domain. They shouldn't be there, those two. There is also an additional number there that you have. Only 4 digits should be in the Domain and Range. Given that there are four sets or pairs of values.
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At a real estate agency, an agent sold a house for $344,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
Commission - $15,480 | Money the agency made - $86,000
Step-by-step explanation:
4.5% of $344,000 is $15,480
25% of $344,000 is $86,000
A number n plus 4.1 is less than or equal to 7 . Write this word sentence as an inequality.
Answer:
The word sentence you are looking for is:
n + 4.1 ≤ 7
Step-by-step explanation:
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soving equations variable on both sides 3x=2x+50
Answer:
x = 50
Step-by-step explanation:
Solve the equation:3x = 2x + 50
Subtract 2x from both sides,
3x - 2x = 2x -2x + 50
x = 50
х1451°Find the value of x. Round to the nearest tenth.x=
To solve this question, we employ the sine relation;
[tex]\begin{gathered} \frac{14}{x}=\sin 51 \\ \end{gathered}[/tex]Rearranging the equation, we obtain ;
[tex]x=\frac{14}{\sin 51}=20.88\approx20.9[/tex]Therefore, x = 20.9
Use the partial quotients strategy to solve the following equations. Show your work. 1. 70.4 ÷ 11 = 2. 43.2 ÷ 16 =
Answer:
70.4/11 = 6.4
Step-by-step explanation:
A science teacher prepares an activity for her class. She cuts 3/4 yard of ribbon into 6 pieces of equal size. Write and solve an equation to find the length of each piece of ribbon.
The equation that represents the given situation will be (x=3/4÷6) and the length of each piece of ribbon will be 1/8 yards.
What is an equation?The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions. An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. As in 3x + 5 = 15, for example. There are many different types of equations, including linear, quadratic, cubic, and others. The three primary forms of linear equations are point-slope, standard, and slope-intercept.So, the equation that recipients the given situation:
The ribbon is 3/4 yards.Cuts into 6 equal pieces.Then, the equation will be:
x = 3/4 ÷ 6Now, calculate the equation for x as follows:
x = 3/4 ÷ 6x = 3/4 × 1/6x = 1/4 × 1/2x = 1/8
Therefore, the equation that represents the given situation will be (x=3/4÷6) and the length of each piece of ribbon will be 1/8 yard.
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Given a line segment that contains the points A,B, & C in order, and given that B is the midpoint of AC, if AB = 3x + 6, and BC = X + 14,find x.
Since B is the midpoint of AC.
AB = BC
3x + 6 = x + 14
Solve for x :
3x - x = 14 - 6
2x = 8
x= 8/2
x= 4
Solve the system of linear equations using matrices.4y-z=-5X+ 5y +z=-32x-y + 3z =13
The given system expressed as a matrix would be
0 4 -1 -5
1 5 1 -3
2 -1 3 13
To solve this, first, we have to change the first row for the second
1 5 1 -3
0 4 -1 -5
2 -1 3 13
Now, we multiply the first row by 2, then subtract it from the third row.
1 5 1 -3
0 4 -1 -5
0 -11 1 19
Then, we multiple the second row with -11/4 to subtract it from the third row.
1 5 1 -3
0 4 -1 -5
0 0 -7/4 21/4
The resulting system would be
[tex]\mleft\{\begin{aligned}x+5y+z=-3 \\ 4y-z=-5 \\ -\frac{7}{4}z=\frac{21}{4}\end{aligned}\mright.[/tex]We solve for z
[tex]\begin{gathered} \frac{-7}{4}z=\frac{21}{4} \\ z=\frac{21}{-7}=-3 \end{gathered}[/tex]Therefore, z is equal to -3.
We use z to find y in the second equation.
[tex]\begin{gathered} 4y-(-3)=-5 \\ 4y+3=-5 \\ 4y=-5-3 \\ 4y=-8 \\ y=\frac{-8}{4}=-2 \end{gathered}[/tex]Therefore, y is equal to -2.
We use y and z to find x in the first equation.
[tex]\begin{gathered} x+5(-2)+(-3)=-3 \\ x-10-3=-3 \\ x=-3+10+3=10 \end{gathered}[/tex]Therefore, x is equal to 10.
There are 348 identical plastic chips numbered 1 through 348 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 213? Express your answer as a simplified fraction or a decimal rounded to four decimal places
We have to find the probability of randomly drawing a chip number that is smaller than 213.
As the chips are numbered from 1 to 348,this probability will be equal to the proportion of chips that have a number that is less than 213.
We have 212 chips in the bag that have a number less than 213, so we can calculate the probability P as:
[tex]P=\frac{X}{N}=\frac{212}{348}=\frac{53}{87}\approx0.6092[/tex]Answer: the probability is 53/87 or approximately 0.6092.
Which number lines have a point that is equal to point
P? Check all that apply.
←
H
-
-60
-60
-60
-60
0
0
0
0
0
Answer:
Step-by-step explanation:
-60 -60 -60 0 0
Please Help!
Solve the inequality for y. y+15 less than 14Simplify your answer as much as possible.
im in accelerated algebra
Answer:
y < - 1
Step-by-step explanation:
y + 15 < 14 ( isolate y by subtracting 15 from both sides )
y < - 1
Answer: y < - 1
Step-by-step explanation:
y + 15 < 14 (isolate y by subtracting 15 from both sides)
y < - 1
3. (02.02 MC)
The beginning mean bi-weekly wage in a certain industry is $2,498.00. If the mean bi-weekly wage grows by 3.25%, what is the new mean annual wage? (4 points)
$62,903.63
$64,948.00
$67,058.81
$69,079.13
If the mean bi-weekly wage grows by 3.25%, the new mean annual wage is: C. $67,058.81.
What is annual wage?Annual wage can simply be defined as the amount a person is paid annually as wages . Wages can be paid daily or weekly.
Using this formula to find the new mean annual wage
New mean annual wage = [Beginning mean bi-weekly wage × ( 1+ mean bi-weekly wage ) ]× Number of weeks per year /2
Let plug in the formula
New mean annual wage = [$2,498.00 × (1+ 0.0325)] × 52 weeks /2
New mean annual wage = [$2,498.00 × (1.0325)] × 26 weeks
New mean annual wage = $2,579.185 × 26 weeks
New mean annual wage = $67,058.81
Therefore the correct option is C.
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Marcus can choose between a monthly salary of $1,500 plus 5.5% of sales or $2,600 plus 2% of sales. He expects sales between $5,000 and $10,000 a month. Complete the explanation to show which salary option he should choose based on how much he could make.
Marcus should choose $2400 plus 3% of sales.
His salary is composed of a fixed salary and a variable salary.
Fixed Salary + Variable Salary = Monthly Salary
2400 150 (3% of 5k) = 2350 - minimum salary he'll receive
2400 300 (3% of 10k) = 2700 - maximum salary he'll receive
VS
Fixed Salary + Variable Salary = Monthly Salary
1500 275 (5.5% of 5k) = 1775 - minimum salary he'll receive
1500 550 (5.5% of 10k) = 2,050 - maximum salary he'll receive
As you can see, despite the high percentage of sales offered, it is not a good option because the fixed salary is low as compared to the other option. Even the maximum salary he'll receive under the option of $1500 is way lower than the minimum salary he'll receive under the option of $2400.
Fixed salary means that each employee receives exactly the same pay and fairness as any other employee in the same pay grade. The level is determined by years of experience and position. For example, all analysts are paid exactly the same all directors are paid the same and all executives are paid the same.
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guys can u help me with this question, please
The cross marked at the points (-2.5 , -5) and (0 , -1.5) is shown below .
The x and y coordinate helps in identifying a point in the coordinate axis and it is written as a ordered pair (x,y) .
where x represents the position of point with reference to the x-axis
and y represents the position of point with reference to the y axis .
In the question ,
points are given , we have to plot them and mark a cross .
Part(a)
point is (-2.5 , -5)
So , the x coordinate is -2.5
means the point is 2.5 units left from the origin ,
and y coordinate is -5 .
means the point is 2.5 units down from the origin .
the cross mark on the point is shown below .
Part(b)
point is (0 , -1.5)
So , the x coordinate is -2.5
means the point is 0 units units from the origin ,
and y coordinate is -1.5 ,
means the point is 1.5 units down from the origin .
the cross mark on the point is shown below .
Therefore , The cross marked at the points (-2.5 , -5) and (0 , -1.5) is shown below .
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How much interest will Harley earn in 3 years if she deposits $1,200 into a savings account that pays 6% simple interest?
what does this equal
-5/6+(-5/6)=
Answer:
-5/3
Step-by-step explanation:
can you plsss help me due now
Answer:
D
Step-by-step explanation:
I'll try to be brief
Let's plug in our 'y' variable (2x)
2x + (2x) = 20
4x = 20
x = 5
Now, plug in our 'x' variable to get our 'y' variable:
y = 2(5)
y = 10
So, our answer in (5, 10)
Or, D
What is the difference between, obtuse, right, and scalene angles?
Answer:
Obtuse angles are angles with a measure over 90 degrees.
Right angles are angles with a measure of exactly 90 degrees.
A scalene triangle can be defined as a triangle whose all three sides have different lengths, and all three angles are of different measures. The angles of a scalene triangle follow the angle sum property and always add up to 180.
Step-by-step explanation:
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The rectangle below has an perimeter of 50 units.2x - 2What is the length, in units, of the shorter side?
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
From the diagram,
length = 2x - 2
width = x
Perimeter = 50
Thus,
50 = 2(2x - 2 + x)
Dividing both sides of the equation by 2, it becomes
50/2 = 2x + x - 2
25 = 3x - 2
3x = 25 + 2 = 27
x = 27/3
x = 9
The length of the shorter side is 9
Combined gas law
Please reply with the steps, I'm confused
Answer:
V₂ = 1.0 L
Step-by-step explanation:
Combined Gas Law
[tex]\sf \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}[/tex]
where:
P₁ is the initial pressure.V₁ is the initial volume.T₁ is the initial temperature.P₂ is the final pressure.V₂ is the final volume.T₂ is the final temperature.Temperature must be in kelvins (K).
To convert Celsius to kelvins, add 273.15.
Volume can be in any unit.
Given values:
P₁ = 5 atmV₁ = 1 LT₁ = 300 KP₂ = 10 atmT₂ = 600 KRearrange the equation to isolate V₂:
[tex]\implies \sf V_2=\dfrac{P_1V_1T_2}{P_2T_1}[/tex]
Substitute the given values into the equation:
[tex]\sf \implies V_2=\dfrac{5 \cdot 1 \cdot 600}{10 \cdot 300}[/tex]
[tex]\sf \implies V_2=\dfrac{3000}{3000}[/tex]
[tex]\sf \implies V_2=1.0\;L[/tex]
Therefore, the volume of V₂ is 1.0 L.
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I need help with this and I need it explained to me how to do it
Answer:
14.42 feet
Explanation:
In the figure, we can see that the pole form a right triangle with legs equal to 12 feet and 8 feet, where 8 ft is half the wide or 16 ft/2 = 8 ft.
Then, by the Pythagorean theorem, the length of the slanted pole square is equal to the sum of the square of the legs, so
[tex]x^2=12^2+8^2[/tex]Where x is the minimum length of the slanted pole. Therefore, x is equal to
[tex]\begin{gathered} x^2=144+64 \\ x^2=208 \\ x=\sqrt[]{208} \\ x=14.42 \end{gathered}[/tex]Therefore, the answer is 14.42 feet.
Ruben bought 6 comic books for $21 Each comic book was the same price.
What was the cost for 1 comic book?
help meeeeeeeeeeeeeeeeeeeeee
Answer:
Diagonal = 9m
Step-by-step explanation:
area of a rectangle=L×W.-----------(I)
L=2W---------------(ii)
from (1)
32=2W×W
32=2W²
W²=32/2
W²=16
W=√16
W=4
from (ii)
length(L)=2W=2(4)=8m
Width(W)=4m
ii)Diagonal of a rectangle involves the use of Pythagoras theorem
Hyp²=opp²+Adj²
Hyp²=8²+4²
Hyp²=64+16
Hyp²=80
Hyp=√80
Hyp=8.94427191
Hyp=9m
:-The diagonal =9m
find the area of this parallelogram in unit9yd13 yd10 yd
Given: A parallelogram with the dimension below
[tex]\begin{gathered} b=\text{base}=13yd \\ h=\text{height}=9yd \\ a=\text{slant side=10yd} \end{gathered}[/tex]To Determine: The area of the given parallelogram
The area of a paralleogram is given by the formula
[tex]A_{\text{PARALLELOGRAM}}=\text{base}\times height[/tex]Substitute the base and the height into the formula
[tex]\begin{gathered} A_{\text{PARALLELOGRAM}}=13yd\times9yd \\ A_{\text{PARALLELOGRAM}}=117yd^2 \end{gathered}[/tex]Hence, the area of the given parallelogram is 117yd²
14 08.08LCChoose the brand of chips with the lowest price per ounce.Brand A 20 ounces for $2.50Brand 6 32 ounces for $3.25 (1 point)O Brand ABrandBoth brands have the same price per ounce.Not enough information is given
Brand 6
1) In this problem, we need to find the unit rate. So let's do it and then compare for both brands
2) Brand A
[tex]\begin{gathered} 20oz----2.5 \\ 1oz-----x \\ 20x=2.5 \\ \frac{20x}{20}=\frac{2.5}{20} \\ x=\$0.125 \end{gathered}[/tex]So for Brand A, 1 oz is approximately 13 cents ( rounding up to the nearest hundredth)
3) Brand 6
We can write out another proportion:
[tex]\begin{gathered} 32oz----3.25 \\ 1oz----y \\ 32y=3.25 \\ \frac{32y}{32}=\frac{3.25}{32} \\ y=\$0.101 \end{gathered}[/tex]So brand 6, 1 oz is approximately 10 cents.
Find the measure of the angle between the two vectors.
7) u = (6,-2)
v = (8,-8)
9) u =(2, 6)
v = (-5, -8)
8) u = (-2, 3)
v = (4, -6)
10) u = (-9, 4)
v = (-7, -1)
Answer:
780
Step-by-step explanation:
9 more than the quotient of a number and 6 is 3
The expression "a number" can be represented with any letter. Use, for instance, the letter n.
Then, the expression "The quotient of a number and 6" can be represented as:
[tex]\frac{n}{6}[/tex]9 more than the quotient of a number and 6 can be expressed as:
[tex]9+\frac{n}{6}[/tex]If that expression is equal to 3, then:
[tex]9+\frac{n}{6}=3[/tex]Which is an algebraic expression for "9 more than the quotient of a number and 6 is 3".