Answer:
[tex]x=-\frac{17}{28}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}[/tex]
[tex]x-\frac{1}{4}=-\frac{6}{7}[/tex]
[tex]x = -\frac{6}{7} + \frac{1}{4}[/tex]
[tex]x = -\frac{17}{28}[/tex]
plug [tex]x[/tex] in the equation to make sure of your answer:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}[/tex]
A new Sports complex is being built in Madison . The perimeter of the rectangular playing field is 466 yards. The length of the field is 3 yards less than triple the width. What are the dimensions of the playing field?
w = 57.5 yards
l = 169.5 yards
Step-by-step explanation:P = 2w + 2l
466 = 2w + 2l
l = 3w - 3
466 = 2w + 2(3w - 3)
466 = 2w + 6w - 6
466 - 6 = 8w
8w = 460
w = 460 : 8
w = 57.5 yards
l = 3w - 3
= 3×57.5 - 3
= 169.5
l = 169.5 yards
14. Simplify 4+ (-3) - 2 x (-6)
O A. 13
O B. 12
C.-11
O D. -10
Answer:
13
Step-by-step explanation:
1-2×(-6)=
1-(-12)=
1+12=13
-42=4v-18 Solve each equation
Answer:
v=6
Step-by-step explanation:
-42=4v-18
Add 18 to each side
-42+18=4v-18+18
-24 = 4v
divide each side by 4
-24/4 = 4v/4
-6 = v
Answer:
v = -6
Step-by-step explanation:
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 18 to both sides:
-42 (+18) = 4v - 18 (+18)
-42 + 18 = 4v
4v = 18 - 42
4v = -24
Next, divide 4 from both sides:
(4v)/4 = (-24)/4
v = -24/4
v = -6
v = -6 is your answer.
~
About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer.Find the radius of the region
Answer:
radius is 4.5 km
Step-by-step explanation:
Given :
Total number of people living in the area = 1.15 million = 1150000
Population density = 18075 people per sq kilometer
To find:
Radius of region = ?
Solution:
Population density of a region is defined as the ratio of total population divided by the area of the region.
Area here is circular. Let the radius be = r
Area of circle is given as [tex]\pi r^2[/tex]
Formula:
[tex]Population\ Density = \dfrac{Total\ population}{\pi r^2}[/tex]
Putting the values:
[tex]18075 = \dfrac{1150000}{\pi r^2}\\\Rightarrow r^2 = \dfrac{1150000}{18075\pi }\\\Rightarrow r^2 = \dfrac{63.62}{\pi }\\\Rightarrow r^2 = 20.26\\\Rightarrow \bold{r=4.5\ km}[/tex]
Therefore, radius is 4.5 km.
Luis deposited $300 into his bank account. He now has $4,511. Enter and solve an equation to find how much was in his account before the deposit. Let a represent the variable.
For his long distance phone service, Ali pays a 7 monthly fee plus 7 cents per minute. Last month, Ali's long distance bill was 19.53 . For how many minutes was Ali billed?
Answer:
179 minutes
Step-by-step explanation:
From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:
Total cost=7+0.07x, where x is the amount of minutes.
Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:
19.53=7+0.07x
19.53-7=0.07x
12.53=0.07x
x=12.53/0.07
x=179
According to this, the answer is that Ali was billed for 179 minutes.
Find The Cube Root Of The Following: 1. 42875 2. 74088 3. 274625
Answer:
1 is 35 and 2 is 42 and 3 i think is 65
Step-by-step explanation:
Answer:
1. 42875 cube root is expresed as [tex]\sqrt[3]{42875}[/tex] = 35
2. 74088 cube root is expresed as [tex]\sqrt[3]{74088}[/tex] = 42
3. 274625cube root is expresed as [tex]\sqrt[3]{274625}[/tex] = 65
Please crate and answer your own rate or ratio word problem :-) help plz
Answer:
I went on a train trip and traveled 250 miles in 2 hours.
What is the train's rate of speed in miles per hour?
Answer: divide the number of miles by the time in hours.
rate of speed = (250 miles)/(2 hours) = 125 miles per hour
A package of 3 pairs of insulated gloves cost $15.87. What is the unit price of pairs of gloves?
Answer:
The correct answer is $5,29
Step-by-step explanation:
The unit price helps us determine the price for a single unit of something that has been purchased in a group.
In this case we have a package of 5 pairs of insulated gloves, which includes 5 pairs and costs 29.45.
We want to know what the unit price is, that is, how much does a single pair of gloves cost.
To determine this we simply divide the total price by the number of gloves:
29.45 / 5 = 5.29
In this way we can confirm that the unit price of a pair of insulated gloves is $ 5.29.
Answer:
Each pair of gloves is $5.29
Step-by-step explanation:
3 ( 2x + 5 ) = 19 + 16
Answer:
x=10/3 or x=3 1/3
(Same thing)
Step-by-step explanation:
First, we distribute the 3 to 2x and 5:
6x+15=19+16
6x=20
x=20/6
x=10/3
x=3 1/3
22.34÷3 please help
Respuesta es 7.4466666667
The asnwer is 7.4466666667
Answer:
7.45 is the answer if u round it up it equals to this
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)
Answer:
(-9, 10)
Step-by-step explanation:
The location of the midpoint of a line with endpoint at ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) is given as (x, y). The location of x and y are:
[tex]x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex]
Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:
[tex]0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10[/tex]
Hence the endpoint is at (x2, y2) which is at (-9, 10)
Marco has $75 to spend on new clothes for a job interview. He buys a shirt for $18.28, pants for $42.39, and a tie for $12.97. How much money will Marco have left after he buys these clothes?
Answer:
$1.36
Step-by-step explanation:
First, add together the prices of all the clothes:
18.28 + 42.39 + 12.97
= 73.64
Then, subtract this from 75:
75 - 73.64
= 1.36
So, he will have $1.36 left after buying the clothes
The money Marco have left after he buys his clothes is $1.36.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Marco has $75 to spend on new clothes for a job interview.
Let the money left after he purchase his clothes be x.
Cost of shirt=$18.28, cost of pants=$42.39 and cost of tie =$12.97
Now, x=75-(18.28+42.39+12.97)
x= 75-73.64
x= $1.36
Therefore, the money Marco have left after he buys his clothes is $1.36.
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Please help me solve this geometry proof problem with detailed steps!
Step-by-step explanation:
in triangle pqr and trs
statement reason
1. pr=rt ( s ) 1. given
2. angle prq = angle srt (a) 2. vertically opposite angle
3. rq = sr ( s ) 3 .given
4 triangle pqr ~= triangle trs 4. by SAS axiom/fact
5. pq = st 5. from statement 4
6. pq\\st 6. from statement 5
proved
A restuarant bill is $35.50. How much EXTRA money should you leave if you want to add a %20 tip?
Answer: $ 7.20
Step-by-step explanation:
Multiply the cost ( 35.50) by 20% or 0.20 and you get your answer ( 7.20 ). Hope this helps!
Convert this number expressed in standard form to scientific notation. 28,500,000 1. Move the decimal to create the coefficient: 2.8500000 2. Write in scientific notation: 2.85 × 10x What is the value of x in the scientific notation? x =
Answer:
7
Step-by-step explanation:
We know the decimal place is after all those zeroes. Move the decimal x places to the left, until it is located between the 2 and 8. Since it moved 7 spaces, that is how you know the power of the ten. A faster way of doing this is the power is always one less than the number of digits of the number.
Answer: 7
Step-by-step explanation:
what is the image of (-2, 3) after a rotation of a 180° counterclockwise?
Answer:
-3,2
Step-by-step explanation:
just flip the minus and plus
Answer:
-3,2
Step-by-step explanation:
you just rotate it 180 degrees on counterclockwise and it land on area 4
Write an expression for the quotient of b divided by the difference of two minus three.
Answer:
b/(2-3)
Step-by-step explanation:
The expression for the quotient of b divided by the difference of two minus three is q = b / (2 - 3) and can be simplified as q = -b.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The quotient of b divided by the difference of two minus three,
The expression for the above statement can be written as,
Assume the quotient is q then,
q = b / (2 - 3)
The denominator can be simplified as,
q = b / (-1)
q = -b
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A cyclist rides 250 meters in 1 minute. Find the speed in km/hr.
Answer:
250 meters/min = 15 km/hr
Step-by-step explanation:
The approximate number to divide from is 16.667. Divide the speed value by 16.667
multiply:
(-4 + i)(-1 + 5i)
Answer:
[tex]( - 4 + i) ( - 1 + 5i) \\ = 4 - 20i - 1i + 5 {i}^{2} \\ = 4 - ( -21i )+ 5i {}^{2} [/tex]
find the distance between the 2 points on the graph.
HELPPPP
Answer:
6^2 + 3^2 = sqrt 45
the answer is the sqrt of 45
Step-by-step explanation:
Answer:
[tex] 3\sqrt{5} [/tex]
Step-by-step explanation:
Use the distance formula and the coordinates of the points.
The upper left point is (-5, 3).
The lower right point is (-2, -3)
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(-2 - (-5))^2 + (-3 -3)^2} [/tex]
[tex] d = \sqrt{3^2 + (-6)^2} [/tex]
[tex] d = \sqrt{9 + 36} [/tex]
[tex] d = \sqrt{45} [/tex]
[tex] d = \sqrt{9 \times 5} [/tex]
[tex] d = 3\sqrt{5} [/tex]
Question is down below
Answer:
B
Step-by-step explanation:
p(x) = x² - 2√2x + 1
p(2√2) = (2√2)² - 2√2*2√2 + 1
=2²*(√2)² - 2*2*√2*√2 + 1
= 4 *2 - 4*2 + 1
= 8 - 8 + 1
= 1
Answer:
B
Step-by-step explanation:
Given
p(x) = x² - 2[tex]\sqrt{2}[/tex] x + 1, then
p(2[tex]\sqrt{2}[/tex] )= (2[tex]\sqrt{2}[/tex] )² - 2[tex]\sqrt{2}[/tex](2[tex]\sqrt{2}[/tex] ) + 1 = 8 - 8 + 1 = 1 → B
Jaylon has a wrench labeled 0.1875 inch and bolts
labeled in fractions of an inch. Which size bolt will
best fit the wrench? Explain.
Answer: 3/16
Step-by-step explanation:
- you divide 3/16 which gets you to the answer of 0.1875
A fraction is a way to describe a part of a whole. The size of the bolt that will best fit in the wrench is 3/16 inches.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Jaylon has a wrench labeled 0.1875 inch and bolts labeled in fractions of an inch.
Now, the size of the bolt that will best fit in the wrench will be the bolt of size same as the wrench. Therefore, if we rewrite the size of the wrench it will be,
Size of the bolt = Size of the wrench
= 0.1875 inches
= 1875/10000 inches
Divide both the numerator and the denominator by 625
= 3/16 inches
Hence, the size of the bolt that will best fit in the wrench is 3/16 inches.
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PLEASE HELP!! IM HAVING A HARD TIME UNDERSTANDING THIS QUESTION.
Given the values of exponential function g below, what is g(3)?
g(0) = 60.4
g(1) = 30.2
g(2) = 15.1
O A.
3.775
OB. 7.55
OC.
8.0
D.
14.6
Answer:
14.6
Step-by-step explanation:
Is y= x/2 + 6 linear or nonlinear
Answer:
It is linear
Step-by-step explanation:
Its linear because y=x/2 + 6 is equal to y = 1/2x+6 which is a linear function
what statement is true about the angles in triangle PQR
Answer:
(C) The sum of the measures of ∠P, ∠Q, and ∠R is 180°
Step-by-step explanation:
All triangles, when their three angles are added up, gets us 180°.
This goes without saying, even with scalene triangles.
Additionally, the angles in squares add up to 360°, the angles in a pentagon add up to 540°.
Hope this helped!
A store in Wildgrove purchased an antique pull toy at a cost of $890 and marked it up 200%. Later on, Jeffrey bought the antique pull toy. If the sales tax in Wildgrove is 10%, how much did he pay in all?
Answer: Jeffery paid $ 2937 in all.
Step-by-step explanation:
Given: The cost of antique pull = $890
Mark up percentage = 200%
New price = (cost) + (Mark up percentage) x (cost)
[tex]=\$( 890+\dfrac{200}{100}\times890)\\\\=\$( 890+2(890))\\\\=\$2670[/tex]
After a tax of 10% , the amount needs to be paid = New price + 10% of New price
[tex]=\$(2670+\dfrac{10}{100}\times2670)=\$(2670+267)\\\\=\$2937[/tex]
Hence, Jeffery paid $ 2937 in all.
Q is between P and R. PR=145,PQ=8x & QR=11x-7. What is the value of QR?
Answer:
QR = 81
Step-by-step explanation:
PR = 145
= PQ + QR
= (8x) + (11x - 7)
8x + 11x - 7 = 145
19x = 145 + 7
19x = 152
x = 8
substitute x=8 into QR:
11(8) - 7 = 81
If 1/4 in. represents 1 ft. what distances are represented by lines of the following lengths: 2 in., 5 in., 1 1/2 in., 2 2/3 in., 4 7/8 in.?
Answer:
Step-by-step explanation:
Make q clear
Answer:
2 > 8
5 > 20
1.5 > 6
2 2/3 > 10.667
4 7/8 > 19.5
Step-by-step explanation:
(Use cross multiplication or algebra to solve)
Evan's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 9 caffeinated teas and 6 decaffeinated teas. What percentage of the teas served were caffeinated?
Answer:
Step-by-step explanation:
9 + 6 = 15caffeinated/all types of teas = x/100 = [tex]\frac{9}{15} = \frac{x}{100}[/tex] Cross multiply and divide to find the percentage: 9 × 100 = 900, 900 ÷ 15 = 60Put 60 as the numerator: 60/100Convert to percentage: 60%You're done!
If you wanted to find the percentage of the decaffeinated teas, just subtract 60% from 100%, and you get 40%.
Answer:
60%
Step-by-step explanation: