Given:
Length of the rectangle = 1 7/9 = 17/9.Width = 3/4 × length = 3/4 × 17/9 = 17/12.To find: The area of the rectangle.
Answer:
Formula to find the area of a rectangle = Length × Breadth.
Since we've calculated the length and breadth, let's substitute them directly.
17/9 × 17/12 = 289/108 = 2.67 [approx.]
Therefore, the area of the rectangle is 2.67 units.
Hope it helps. :)
The next model of a sports car will cost 12.3% more than the current model. The current model costs $49,000. How much will the price increase in dollars?
What will be the price of the next model?
Answer:
The price increase is $6,027
The price of the next model is $55,027
Step-by-step explanation:
Find the cost of the next model by multiplying 49,000 by 1.123
49,000(1.123)
= 55,027
Find the price increase by finding the difference:
55,027 - 49,000
= 6,027
The price increase is $6,027
The price of the next model is $55,027
Answer:
First write the percent as a decimal to make calculating for the answer easier. Then, u see that its telling you it will be 12.3% more than current price.
Step-by-step explanation:
Find the value of m
Answer:
m = 9
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
[tex](\frac{1}{27}) ^{m}[/tex] × [tex](81)^{-1}[/tex] = 243 ← express all values to base 3
[tex](\frac{1}{3^3}) ^{m}[/tex] × [tex](3 ^4)^{-1}[/tex] = [tex]3^{5}[/tex]
[tex](3^-3)^{m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]
[tex]3^{-3m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]
[tex]3^{(-3m-4)}[/tex] = [tex]3^{5}[/tex]
Since bases on both sides are equal, both 3 , then equate exponents
- 3m - 4 = 5 ( add 4 to both sides )
- 3m = 9 ( divide both sides by - 3 )
m = - 3
Identifying the Solution to a System of Two-Variable Inequalities
Which equation represents an inequality in the system
of inequalities shown in the graph?
4
Which point is a solution to the system?
х
2
4
Answer:
The answers are BELOW ⬇️
Step-by-step explanation:
P.S Thank ❤️ And Rate ⭐️ My Answer If It Has Helped You
The equation that represents the inequality in the graph is y < 2x + 2.
The solution of the system is (-1, -2).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
To find the system of inequalities, first, we find the system of equations.
So, the first dotted line is passing through two points (-1, 0) and (0, 2),
then the equation of the line,
y - 0 = (2 - 0)/(0 + 1) (x + 1)
y = 2x + 2
From the diagram, the equation that represents the inequality in the graph is y < 2x + 2 ....(1)
Similarly, the equation of the second line is y ≤ 2x ...(2)
Now, the solution of the system is (-1, -2).
Therefore, the solution of the system is (-1, -2).
To learn more about the systems of inequalities;
https://brainly.com/question/19526736
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The price of a car increased by 7% which expression can be used to calculate the new price of the car
Answer: P * ( 1 + 7%)
Step-by-step explanation:
You included no options but the expression should go something like this:
Pn = P * ( 1 + 7%)
Where Pn is the new price
P is the current price
The above formula will show the new price given the current price.
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5, years after he moved into the house, the tree was 29 centimeters tall.
How tall was the tree when Vlad moved into the house?
centimeters
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
Answer:
Step-by-step explanation:
I dont really know but somekne wil lask in the comments so you can find the answer.
Plz solve I will give brainlist 15 points
Answer:
5 and 5
Step-by-step explanation:
The absolute value of a number is the number but positive.
/-5/ = 5 and /5/ = 5
Hope this helps!
Which expression is equivalent to the given expression? (-4ab)3
-4a³b³
-12ab³
-4ab³
-64a³b³
Answer:
option d
Step-by-step explanation:
(-4ab)^3 = (-4ab)(-4ab)(-4ab) = -64a^3b^3 (option d)
I hope this helped, please give brainliest if this is correct! Thank you!
How much interest would you pay on a $12000 loan at 5% for 6 years
Answer:
Interest=$3600
Step-by-step explanation:
I = P * r * x * t
Where:
P is the principal amount, $12000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....year(s) time periods.
So, t is 6....year time periods.
To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:
The interest is: $3600.00
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 12000.00 + 3600.00 = 15600.00. For example:
If you borrowed the $12000.00, you would now owe $15600.00
If you loaned someone $12000.00, you would now be due $15600.00
If owned something, like a $12000.00 bond, it would be worth $15600.00 now.
Can someone help me answer this question
Answer:
i think ur answer is f in my mind
A factory made 555 packs of mint flavored gum and 8695 packs of fruit flavored gum.What percentage of the packs contained mint gum ?
Answer:
6%
Step-by-step explanation:
This problem uses proportions
I would set this up as-
555 x
8695 100
Cross multiply-
100 x 555 = 55500
Divide-
55500/8695 = 6.38
Round to the nearest whole number
Find the value of each variable.
Answer:
a = 20
b = 30
Step-by-step explanation:
1) Solving for a
From the diagram above, KL + ML = An arc
Hence, we add them up
110° + 130° = 240°
1/2 of 240° = 120°
Solving for a°
180° = 120° + 3a (sum of opposite angles in a cyclic quadrilateral)
180° - 120° = 3a
60° = 3a
a = 60/3
a = 20
2) Solving for b
The sum of the exterior angles of a circle = 360°
Hence:
360° = KL + ML + JM + JK
KL = 110°
ML = 130°
JM = 54°
JK = ??
JK = 360 - (110° + 130° + 54°)
JK = 360 - 294
JK = 66°
Adding up JK + JL = 54° + 66°
= 120°
1/2 of 120° = 60°
Hence:
60° + 4b = 180°(sum of opposite angles in a cyclic quadrilateral)
4b = 180° - 60°
4b = 120°
b = 120/4
b = 30
50 points please help
Question No 6
Given
Mass m = 70 kg
Acceleration a = 5 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 70 kg and a = 5 m/s²
F = 70 × 5
F = 350 N
Therefore, the sprinter is exterting a 350 N force.
Question No 7
Given
Mass m = 80 kg
Acceleration a = 10 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 80 kg and a = 10 m/s²
F = 80 × 10
F = 800 N
Therefore, the sprinter is exterting a 800 N force.
Answer:
Given
Mass m = 70 kg
Acceleration a = 5 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 70 kg and a = 5 m/s²
F = 70 × 5
F = 350 N
Therefore, the sprinter is exterting a 350 N force.
Question No 7
Given
Mass m = 80 kg
Acceleration a = 10 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 80 kg and a = 10 m/s²
F = 80 × 10
F = 800 N
Therefore, the sprinter is exterting a 800 N force.
Step-by-step explanation:
The cost of a piece of ribbon is directly proportional to the length of the ribbon. The cost of 8 yards of ribbon (without tax) is $5.60. The sales tax rate is 6.35%. What does it cost for 10 yards of ribbon, including tax?
Answer: $7.44
Step-by-step explanation:
The cost of a piece of ribbon is directly proportional to the length of the ribbon.
A yard is therefore:
= 5.60/8
= $0.70
10 yards will cost:
= 0.70 * 10
= $7.00
Including sales tax:
= 7.00 * (1 + 6.35%)
= $7.44
Can someone help me with this geometry question?
Answer:
whats the question
Step-by-step explanation:
Answer:
I don't see a question to answer
Step-by-step explanation:
Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4).
A. y=−4/5x−5
B. y=−4/5x−8
C. y=−4/5x−4
D. y=−4/5x+4
Answer:
B
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -4/5,
[tex]y = - \frac{4}{5} x + c[/tex]
To find the y-intercept, substitute a pair of coordinates.
When x= -5, y= -4,
[tex] - 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8[/tex]
Thus, the equation of the line is
[tex]y = - \frac{4}{5} x - 8[/tex]
Which of the following quadratic equation has a solution set {1/2.5}? Select all that apply.
Answer: Where is the problem?
Step-by-step explanation: There's no problem
what is 2 hrs and 20 min to 40 min as a fraction?
Answer:
7/2
Step-by-step explanation:
2 hours= 120 mins
120 mins+20=140
140/40=7/2
Please give brainliest, thank me and rate it 5 if it helped. :)
Please help!!!! (Look at picture)
Answer:
x (19) is your answer okkkkkk
A(3,0) and B(-3,0) are the two fixed points Find the locus of a point P at which AB subtend a right angle at P
Answer:
[tex]y^2+x^2=9[/tex]
Step-by-step explanation:
Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.
Two lines of slopes m1 and m2 are perpendicular if:
m1*m2=-1
The slope of the line passing through P(x,y) and A(3,0) is:
[tex]\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}[/tex]
The slope of the line passing through P(x,y) and B(-3,0) is:
[tex]\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}[/tex]
Substituting in the equation:
[tex]\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1[/tex]
Operating:
[tex]\displaystyle \frac{y^2}{(x-3)(x+3)}=-1[/tex]
[tex]y^2=-(x-3)(x+3)[/tex]
[tex]y^2=-(x^2-9)[/tex]
[tex]y^2=-x^2+9[/tex]
[tex]\boxed{y^2+x^2=9}[/tex]
The locus is a circle centered at the origin with radius 3
PLEASE HELPPP!!!!!!!!
Answer:
60
Step-by-step explanation:
The total sum should be 180 degrees.
So 3x = 180. x = 60
Answer:
60 not shure tho hsbsvsbs
10. What is 7 less than the square root of 64?
Answer:
1
Step-by-step explanation:
the square root of 64
√64 = 8
8 - 7 = 1
Solve for x
help please!!!
Answer:
x=1
Step-by-step explanation:
Answer:
7/3
Step-by-step explanation:
used calculator
Find the equation of the line perpendicular to 2x + 3y = -5 and
passing through (3, -5). Write the equation in standard form.
Answer:
3, -5
Step-by-step explanation: took the test
identify the constant: 4x - 3
Answer:
The constant is 3 because it has no any variable term e.g "x"
Please help? Thank you
Answer: I think it’s the 8y= 7x + 6
Step-by-step explanation:
Well to make it easier, put it in slope intercept form, which that is y= -8/7x + 1/7. Since perpendicular lines are opposite sign reciprocal of the original equation, we know the slope of the perpendicular line would be positive, since the original was negative. So the answer would be 8y = 7x + 6
9514 1404 393
Answer:
(b) 8y = 7x +6
Step-by-step explanation:
You can always make a perpendicular line by swapping the x- and y-coefficients, and negating one of them. In the process, ignore the constant.
Swapping the coefficients in the given equation gives you ...
-8y = 7x + constant
Negating the y-coefficient, you get ...
8y = 7x + constant . . . . . the equation of a perpendicular line
Using constant = 6 to match an answer choice, you can see that this matches ...
8y = 7x +6
What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)
Answer: y = -4x + 7
Just did the quiz
A square playground has sides that each measure 120 feet in length. On a scale drawing, 1/4 inch represents 5 feet on the playground. How long is a side of this playground on the scale drawing?
Answer:
6 Inches
Step-by-step explanation:
Per the above, we were given that;
1/4 inch = 5 feet
But,
X inch = 120 feet
We would represent the above as a ratio
1/4 inch / X inch = 5 feet / 120 feet
1/4 inch / X inch = 1 feet / 24 feet
When we cross multiply, we'll have
1/4 inch × 24 feet = X inch × 1 feet
X = 6 inches
Answer:
6 inches
Step-by-step explanation:
Find 10 rational numbers between -1/9 and 4/9 .
hope this help you out (•‿•)
Can someone please solve F (x) = x² - 2x + 1
Answer:
i hope this helps
Step-by-step explanation:
Answer: x=1
Step-by-step explanation:
Which number is not a factor of 12 and a multiple of 6
Answer:
ummmm 5 ..............