Answer: x = 15
Step-by-step explanation:
Given:
27 + x = 42
Subtract 27 from both sides of the equation:
x = 15
27 + x = 42
Subtract 27 from both sides:
X = 15
Hello can someone please help me ??? Solve the following system of equations graphically on the set of axes ?? y=2/3x+3 ...................................................................y=- 4/3-3 both of them on graph Please. ...
keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.
What is the slope of a line perpendicular to the line with equation y = 4x + 5?
4
−14
−4
−5
Answer:
Slope= 4
Step-by-step explanation:
y=mx+b
4x
4= slope
Find the unit cost (i.e. dollars per unit). Round the answer to 3 decimal places when necessary. A package of 3 AAA batteries costs $3.36.
If the labor force is 300,000 workers,
but 24,000 are unemployed, what is the
unemployment percentage?
A. 3%
B. 8%
C. 18%
D. 24%
Answer:
8%
Step-by step explanation:
We are given:
Total workers: 300,000Unemployed workers: 24,000The formula to determine the percentage of unemployed workers in the total workers, we need to divide the number of unemployed works by the total workers in the labor force. Then, multiply the quotient by 100 to obtain the percentage of unemployed workers.
Formula:
[tex]\dfrac{\text{Unemployed workers}}{\text{Total workers} } \times 100 = \text{Percentage of unemployed workers}[/tex]
Substitute the given values into the formula to determine the percentage of unemployed workers in the labor force.
[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } \times 100 = \text{Percentage of unemployed workers}[/tex]
Now, simplify the equation. The easiest way to simplify the equation is to temporially ignore the "100".
[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } = \text{Percentage of unemployed workers}[/tex]
Then, cancel the "0's" on the L.H.S. This is a good way to simplify the equation on the L.H.S
[tex]\implies \dfrac{\text{24}}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
Don't forget to multiply the result by 100 as it was temporaily hidden.
[tex]\implies \dfrac{\text{24}}{\text{300} } \times 100= \text{Percentage of unemployed workers}[/tex]
Let 100 be 100/1. Thus, our equation will be:
[tex]\implies \dfrac{\text{24}}{\text{300} } \times \dfrac{100}{1} = \text{Percentage of unemployed workers}[/tex]
Multiply the numerator with the numerator and the denominator with the denominator.
[tex]\implies \dfrac{24 \times 100}{\text{300} \times 1} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
Cancel the "0's" on the L.H.S to make it easier to simplify.
[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies \dfrac{24}{\text{3} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies 8 = \text{Percentage of unemployed workers}[/tex]
Thus, 8% of the workers are unemployed workers.
Find the value of x.
44°
76°
to
Answer:
120°
Step-by-step explanation:
sum of angles on adjacent sides= exterior angle
x= 76+44 = 120
The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .
Solution : -Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :
44° + 76° + y° = 180°120° + y° = 180°y° = 180° - 120°y° = 60°Therefore , value of angle y is 60° .
Now , we are finding the value of x :
As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :
60° + x° = 180°x° = 180° - 60°x° = 120°Therefore, value of angle x is 120° .
# [tex] \sf{ \bold{Keep \: Learning}}[/tex]If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?
Answer:
about 1.14%
Step-by-step explanation:
Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:
I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.
__
Here, we have ...
(100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year
0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r
Your return would be about 1.14%.
ans this question pleasepleasee i need it now 11:19 am
Step-by-step explanation:
Just times all the number for every question like the first one, 4×4×4=64(units)
=64ft
Same for the rest
Write the word sentence as an inequality. A number y minus 1/2 is no more than −3/2 .
Answer:
y - 1/2 ≤ -3/2
Step-by-step explanation:
y minus 1/2
y - 1/2
is no more than means is less than or equal to ≤
y - 1/2 ≤ -3/2
Write a formula that describes the value of an initial investment of $4000 that loses value at a rate of 10% per year, compounded six times per year.
since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.
[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]
[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]
I would really appreciate the help on this please
Answer:
[tex]{x}^{3} + 2x ^{2} - 6x + 45[/tex]
Step-by-step explanation:
sorry I didn't write it out...
Simply the given expressions below.
a) 4x + 8 - 2x + 7
b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer
Step-by-step explanation:
a) 4x + 8 - 2x + 7
= 2x +15
b) 2n × 5 × 2a
= 10n × 2a
= 20an
Answer:
a) 2x+15
B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or
n =(2+√44)/4=(1+√ 11 )/2= 2.158
Step-by-step explanation:
a.4x+8-2x+7
4x+15-2x
=2x+15
What is the area of this figure?
Answer:
Area=length×width
=12m×15m
=180m
so,the area is 180.
hope it helps!
Good people please help me!!!!
Answer:
a) |sec(θ)|
b) 2cot(2x)
Step-by-step explanation:
Trig identities are used to simplify these expressions. Several are used:
tan(180°-x) = -tan(x)cot(90°-x) = tan(x)1 +tan(x)² = sec(x)²tan(x) = sin(x)/cos(x)sin(2x) = 2sin(x)cos(x)cot(x) = cos(x)/sin(x)__
a.[tex]\sqrt{1-\tan(180^\circ-\theta)\cot(90^\circ-\theta)}=\sqrt{1-(-\tan(\theta))\tan(\theta)}\\\\=\sqrt{1+\tan^2(\theta)}=\sqrt{\sec^2(\theta)}=\boxed{|\sec(\theta)|}[/tex]
__
b.[tex]\dfrac{\cos(2x)\tan(x)}{\sin^2(x)}=\dfrac{\cos(2x)}{\sin^2(x)}\cdot\dfrac{\sin(x)}{\cos(x)}=\dfrac{\cos(2x)}{\sin(x)\cos(x)}\\\\=\dfrac{\cos(2x)}{\left(\dfrac{\sin(2x)}{2}\right)}=2\dfrac{\cos(2x)}{\sin(2x)}=\boxed{2\cot(2x)}[/tex]
A runner's journal shows the number of miles run each day for a week:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
Saturday:
Based on the arithmetic sequence how many miles are planned for Saturday?
The number of miles planned on Saturday is 19 milea
What is an arithmetic sequence?This means the sequence where the difference between one term and the next term is a constant.
In this case, the following information are illustrated:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
As we can see there's a difference of three between them. This can be seen as:
= 4 miles - 1 mile
= 3 miles
Therefore, the number planned on Saturday will be:
= Friday + 3 miles
= 16 miles + 3 miles
= 19 miles
Learn more about sequence on;
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Solve the inequality: 3 < -5X+2X
Answer:
Inequality Form:
X< −1
Interval Notation:
(−∞,−1)
Step-by-step explanation:
Answer:
[tex]x < -1[/tex]
Step-by-step explanation:
First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]
Railway Cabooses just paid its annual dividend of $5.10 per share. The company has been reducing the dividends by 13 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 15 percent?
Answer:
15.85
Explanation:
Po = D1 / (k-g)
Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate
Po = (5.10 (1-0.13)) / (0.15-(-0.13))
Po= 15.85
Where can parentheses be placed to make 6+2³-4×3 value 500
~Denki Kaminari here~
6 + 2³ - 4 × 3 = 500
The parentheses will most likely go before the exponent because that will raise your number up higher.
(6 + 2)³ - 4 × 3 = 500
(8)³ - 4 × 3 = 500
512 - 12 = 500
500 = 500
So the parentheses will go around the (6 + 2).
hope this helps :D
7. An 18-foot long ramp is placed at a loading
dock that is 5 feet above ground. How far is
the bottom of the ramp from the dock?
17.29162
Step-by-step explanation:[tex]\sqrt{18^2-5^2}[/tex]
__________________________________________
Evaluate the equation/expression:[tex]17.29162[/tex]
I hope this helps you
:)
Find the product of 3.6 and 0.003
Answer:
0.0108
Step-by-step explanation:
3.6 multiplied by 0.003
1. First you write down the numbers one on top of the other
0.003
x 3.6
-----------
2. Multiply 6 by all the numbers in 0.003
0.003
x 3.6
-----------
0018
3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place
0.003
x 3.6
---------------
0018
+ 00090
---------------
4. Add the numbers you got
0.003
x 3.6
---------------
0018
+ 00090
---------------
00108
5. Count the number of decimal points or numbers after the decimal point in both numbers and add them
3.6 = one decimal place
0.003= three decimal places
Three plus one = four
6. Count the total number of decimal places
0010.8 = one decimal place
001.08 = two decimal places
00.108 = three decimal places
0.0108 = four decimal places
Which number is located between 1.2 and 1.4 on the number line
Find the area
A. 775
B. 625
C. 475
Answer:
625 in²
Step-by-step explanation:
⇒ Area of the figure = Area of the rectangle + Area of the triangle
Finding the base of the triangle
b² = 25² - 15²b² = 625 - 225b² = 400b = 20 in.Finding Area
A = 25 x 19 + 1/2 x 20 x 15A = 475 + 150A = 625 in²I really need this, someone help
6+6+8+14=34 all you need to do is add them I think
The possible outcomes for tossing a coin four times are shown below.
If a coin is tossed four times, what is the probability of getting exactly three heads?
A. 1/3
B. 1/2
C. 1/4
D. 1/8
Step-by-step explanation:
I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Need help answering this
1 + a to the power 3
[tex]1 + {a}^{3} [/tex]
Quentin works as a used car salesman, where he earns $8 per hour and an average commission
of $260 per car sold. He wants to earn at least $1040 per week. Write an inequality to represent this scenario, define your variables and explain why you chose them.
Answer:
Step-by-step explanation:
$8 per hour + average commision $260 per car sold ≥ $1040 per week.
This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.
Based on the graphs of the equations y = 2x + 4 and y = x2 – x + 4, the solutions are located at points:
(3, 10) and (–2, 0)
(–2, 0) and (0.5, 3.75)
(3, 10) and (0, 4)
(0.5, 3.75) and (0, 4)
The solution of the equations y = 2x + 4 and y = x² – x + 4 will be (0, 4) and (3, 10). Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The system of the equations are given below.
y = 2x + 4 …1
y = x² – x + 4 …2
From equation 1 and 2, then the equation will be
x² – x + 4 = 2x + 4
x² – 3x = 0
x(x – 3) = 0
x = 0, 3
At x = 0, the value of the y will be
y = 2(0) + 4
y = 0+ 4
y = 4
At x = 3, the value of the y will be
y = 2(3) + 4
y = 6 + 4
y = 10
Thus, the solution of the equations will be (0, 4) and (3, 10).
Then the correct option is C.
The graph of the line and the parabola is given below.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Answer:
152 sq in
Step-by-step explanation:
Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)
Area of a triangle is:
A = 1/2 b•h
= 1/2 •8•4
= 16
There are 2 of these triangles.
A_bases = 32
Then there are 3 rectangle sides, area of a rectangle is:
A = l × w (or b•h)
6 × 5 = 30
6 × 8 = 48
6 × 7 = 42
Add up all the areas.
32 + 30 + 48 + 42
Total surface area is:
A = 152 sq in
Answer:
152
Step-by-step explanation:
Stacy buys a bagel assortment that has 6 oat bagels for every 2 blueberry bagels. Naomi buys a bagel assortment that has 9 oat bagels for every 5 blueberry bagels. Each girl bought 10 blueberry bagels.
Stacy’s Bagels
Oat 6 12 18 24 30 36
Blueberry 2 4 6 8 10 12
Naomi’s Bagels
Oat 9 18 27 36 45 54
Blueberry 5 10 15 20 25 30
Find the number of oat bagels that each girl bought.
Stacy bought
oat bagels, and Naomi bought
oat bagels.
Answer: Stacy: 30 Naomi: 18
Step-by-step explanation:
Stacy- ratio of oat to blueberry is 6:2 we want to find x:10
10 is 5 times 2, and whatever you do to the bottom you have to do to the top, and 6 times 5 is 30
Naomi- ratio of oat to blueberry is 9:5 we want to find x:10
The 10 is 2 times 5, and whatever you do to the bottom you have to do to the top, and 9 times 2 is 18
Name three coplanar points on plane HGD.
The plane HGD contains at least three points
The three points on the plane are H, G and D
What are coplanar points?Coplanar points are at least three points that are in the same plane
How to name the points?The name of the plane is given as:
Plane = HGD
The above means that points H, G and D are on the plane HGD
Hence, the three points on the plane are H, G and D
Read more about coplanar points at:
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