Answer:
5 inches and 4 inches
Step-by-step explanation:
The perimeter is equal to 2(2x + 1) + 2(x + 2) since there are two sides of the rectangle equal to the expressions given.
Since we also know that the perimeter is 18 inches, we can set that equal to 18.
2(2x + 1) + 2(x + 2) = 18
4x + 2 + 2x + 4 = 18
6x + 6 = 18
6x = 12
x = 2
After plugging 2 back into 2x + 1 and x + 2, you get 5 and 4. Hope this helped!
In a given school, there 240 boys and 260 girls.
a) What is the ratio of the number of girls to the number of boys?
b) What is the ratio of the number of boys to the total number of pupils in the school?
Ratio:-
[tex]\\ \rm\Rrightarrow \dfrac{Girls}{Boys}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{260}{240}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{13}{12}[/tex]
[tex]\\ \rm\Rrightarrow 13:12[/tex]
#2
Total pupils=240+260=500Ratio
[tex]\\ \rm\Rrightarrow \dfrac{240}{500}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{12}{25}[/tex]
[tex]\\ \rm\Rrightarrow 12:25[/tex]
Answer:
a) 13:12
b) 12:25
Step-by-step explanation:
a) ratio of girls to boys
260:240 or 13:12
b) ratio of boys to the total number of pupils
240:(240+260) or 240:500 or 12:25
The basic way to find this is by simplifying.
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PLEASE HELP!!! FAST I HAVE 2 MINUTES! MULTIPLE CHOICE! PLEASE SHOW A LITTLE WORK FAST!
Answer:
A. y=-2x+1
Step-by-step explanation:
rise over run rise(up or down) 2 run(right or left) 1
The average person needs to eat 2000 calories everyday to remain healthy. How many more calories should you eat to remain healthy?
Answer:
This depends on the person, try measuring how many calories you eat in 1 day. By gathering that information you can determine if you are either eating more calories or less
Sam is developing a metric to try to measure how generous an individual is. In order to evaluate whether it is actually measuring generosity, Sam is checking to see if there is any correlation between a person's score on the metric and the amount of money they donate to charities or give to others in need. In other words, Sam is evaluating the _____ of the metric.
By checking to see if there is correlation, Sam is evaluating the criterion validity of the metric.
How to determine the measured parameter of the metricFrom the question, we understand that Sam tests the metric to check for the presence or absence of correlation in the metric.
This, in other words means that Sam is checking the criterion validity of the metric.
Hence, the true statement is that Sam is evaluating the criterion validity of the metric.
Read more about correlation at:
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ABCD ~ JKLM. Write a proportion containing BC and JM
Answer:
[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]
PLLSSS hEELPPPP
What is the inverse of the following statement?
If two triangles are congruent, then their corresponding angles are congruent.
A. If the corresponding angles of two triangles are congruent, then the triangles are congruent.
B. If two triangles are not congruent, then their corresponding angles are not congruent.
C. If two triangles are congruent, then their corresponding angles are congruent.
D. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
Answer:
A
Step-by-step explanation:
A, because you just have to flip the cause and effect.
If two triangles are congruent, then their corresponding angles are congruent.
So, if the corresponding angles are congruent, then the triangles are congruent
You can use this property for problems similar to this one, that have cause and effect relationships.
what is 5/8 + 1/12? and how do you do it?
The answer to your question is 17/24
First find the lcd which is 24
5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24
1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24
Then you would add 15/24+2/24= 17/24
What is the length of segment AB
Answer:
length of AB is 10
Step-by-step explanation:
rise=8
run=6
[tex] {8}^{2} + {6}^{2} = \sqrt{100} [/tex]
[tex] \sqrt{100} = 10[/tex]
Matthew bought 2 movie tickets for $11, and Rosa bought 7 movie tickets for $38.50. What is the constant of proportionality?
Answer:
You should multiply 5.5 by 7 and it is equal to 38.5 so it is D
explanation:
did the test hope this helps! :D
The constant of proportionality of the given condition is 5.5.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Let's say Matthew and Rosa's constant of proportionality is K.
Now,
Matthew bought 2 movie tickets for $11.
So,
11 ∝ 2
11 = K 2 ⇒ K = 5.5
Now,
Rosa bought 7 movie tickets for $38.50.
So,
38.50 ∝ 7
38.50 = K 7 ⇒ K = 5.5
Hence "The constant of proportionality of the given condition is 5.5".
For more information about ratio and proportion,
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Find the values of x and y that make the quadrilateral a parallelogram.
Answer is in the image, proof also has given
answer urgent please!!
Answer:
15Step-by-step explanation:
[tex]u=5i-j\\\\v=3i+j\\\\w=i+4j\\[/tex]
[tex]v+w[/tex]
[tex]3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}[/tex]
~
The cost of parking a car in an hourly lot can be
represented by the following equation
y = 3.2 + 2
What does the 2 tell you about the cost of
parking?
Select one:
You can only park for 2 hours
O
It costs 5 dollars to park all day
O
There is a 52 fee to park, before the number of
hours are factored in
The hourly rates $2
Answer:
C. There is a $2 fee to park, before the number of hours are factored in.
Step-by-step explanation:
Given that the equation, [tex] y = 3x + 2 [/tex], represents total cost charged for at a parking lot for customers to park their car, thus:
the "x" represents the number of hours,
3 represents the charged fee per hour
2 represents the flat fee charged, which is the starting fee, before the number of hours is calculated and added.
Therefore, the answer is "C. There is a $2 fee to park, before the number of hours are factored in."
Please help me find the equation xx
9514 1404 393
Answer:
(2x-10) +x +(x+10) = 180x = 45(2x-10)° = 80°(x+10)° = 55°x° = 45°Step-by-step explanation:
The equation is an expression of the fact that the sum of the angles in a triangle is 180°.
(2x -10)° +x° +(x +10)° = 180°
For the purposes of the answer box, I'd leave off the degree symbol:
(2x -10) +x +(x +10) = 180
__
This simplifies to ...
4x = 180
x = 45
Then the angles (CW from top) are ...
(2·45 -10) = 80°
(45 +10)° = 55°
(45)° = 45°
Replace ? with an expression that will make the equation valid.
Answer:
4x³
Step-by-step explanation:
d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?
To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:
Let y = ln (x⁴ + 7)
Let u = (x⁴ + 7)
Therefore,
ln(x⁴ + 7) = ln u
Thus,
y = ln u
dy/du = 1/u
Next, we shall determine du/dx. This is illustrated below:
u = (x⁴ + 7)
du/dx = 4x³
Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:
dy/dx = dy/du × du/dx
dy/du = 1/u
du/dx = 4x³
dy/dx = 1/u × 4x³
But:
u = (x⁴ + 7)
Therefore,
dy/dx = 1/(x⁴ + 7) × 4x³
Thus, the missing expression is 4x³
Can someone help me with this please?
4
Step-by-step explanation:
The green line has a slope of because it is parallel with the red line
Lines which are parallel have same slope
Please help ASAP! It would be greatly appreciated. Thank you.
Answer:
2one
Step-by-step explanation:
I did it but it didn't have my answer on the list lol
Answer:
B) 1 8/27
Step-by-step explanation:
First, change all mixed fractions into improper fractions:
2 1/3 = 7/3
1 4/5 = 9/5
7/3 ÷ 9/5
Next, flip the second fraction, and change the division sign into multiplication:
7/3 x 5/9
Multiply across:
7/3 x 5/9 = 35/27
Change into a mixed fraction:
35/27 = 27/27 + 8/27
1 8/27 is your answer.
~
need help on this math question, by the way the first choice is incorrect, i chose that and got it wrong... thanks
What is the image of (0, -8) after a reflection over the line y = -x?
Submit Answer
Answer:
(8,0)
Step-by-step explanation:
could be negative 8 but it said positive 8
positive works
The required reflection of the point (0, -8) on the line y = -x is (8, 0).
To determine the image of (0, -8) after a reflection over the line y = -x.
the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
For the image of the point of the line y = -x
The reflection of point (0, - 8) is given as by swaping the value and change the sign, So the image of the point is (8, 0).
Thus, the required reflection of the point (0, -8) on the line y = -x is (8, 0).
Learn more about equation here:
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Can someone explain how they got the answer for this?
Answer:
y = 6x + 4
Step-by-step explanation:
We know the equation is linear. First, use two points to find the slope of the line.
m = (y₂ − y₁) / (x₂ − x₁)
m = (10 − 4) / (1 − 0)
m = 6
The y-intercept is 4. So the equation of the line is:
y = mx + b
y = 6x + 4
What is the image point of (3, 7) after a translation right 5 units and up 1 unit?
Answer:( 8,8)
Step-by-step explanation:
Write the equation of a line in slope-intercept form with a slope of 7/
4 and a y-intercept of −3 .
y=7/4x-3 or y=1.75x-3
Help help math math ASAP math
Answer:
[tex]\displaystyle y - 4 = \frac{1}{5}(x - 5)[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so −5 becomes ⅕. Now, proceed with plugging the information into the Point-Slope Formula:
[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = \frac{1}{5}(x - 5)}[/tex]
**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.
I am joyous to assist you at any time.
Please help asap! I will gave brainlest!
Answer:
option D.
Step-by-step explanation:
1) cosx=cotx;
[tex]cosx(\frac{1}{sinx} -1)=0;[/tex]
[tex]\left[\begin{array}{ccc}cosx=0\\sinx=1\end{array} \ = > \ \left[\begin{array}{ccc}x=\frac{\pi }{2} +\pi k\\x=\frac{\pi }{2} +2\pi n\end{array}[/tex]
where n,k∈Z;
2) if x∈[0;2π], then x=π/2; 3π/2.
Note, the greek letter 'Θ' is replaced with 'x'.
Answer:
π/2, 3π/2
Step-by-step explanation:
Given :-
0 ≤ θ < 2πTo Solve :-
cosθ = cotθSolving :-
cosθ = cotθcosθ = cosθ/sinθ1 = 1/sinθsinθ = 1θ = π/2, 3π/2There are 150 males and 50 females participating in a marathon. What percent of the participants are female?
Hey there!
Answer: 25% of participants are females
Add both M and F = 200
50 + 50 + 50 + 50 = 200
=> 50 + 150 = 200
each 50 is 25% of 200
Therefore, the percentage of females in the race is 25%
Answer:
50+150=200
female=50
50÷200×100=25%
percentage of female=25%
Please help asap! I will gave brainlest!
Answer:
270°
Step-by-step explanation:
Given :-
0° ≤ θ < 360°To Find :-
sinθ = -1Solving :-
We know sin90° = 1Therefore, for it to be negative, it needs to be rotated by 180°⇒ 90° + 180° = 270°I need help if you absolutely don’t know please don’t but a random answer down 11:24 a.m est
Answer:
i can go ahead and say that for question 1, the answer is 1,568,000,000,000,000,000,000,000,000,000
estimation is ethier 2,000,000,000,000,000,000,000,000,000 or 1,700,000,000,000,000,000,000,000,000,000
also i'm very sorry if this didn't help you! but i really hope this did help you out a little
An author wants to write at least 100 pages of a book in a month. He already has 25 pages of the book written and there are 15 days left in the month. The inequality 15x+25≥100 represents this situation, where x represents the number of pages that the author should write in a day. Solve this inequality for x. Graph the solution set on the number line below. Identify one value that is in the solution set of the inequality.
Answer:
X=5
Step-by-step explanation:
X=5
15x+25>100
-25 -25
15x>75
—- —-
15x 15x
X>5
Act like there is a line under the >sign
21.
Ify= 1+x, find
x
dy.
/
dx
Answer:
A. 2/(1 -x)²
Step-by-step explanation:
The derivative of a ratio is given by the formula ...
d(u/v) = (v·du =u·dv)/v²
Here, we have ...
u = 1+x; du = 1·dx
v = 1 -x; dv = -1·dx
Then ...
[tex]dy=\dfrac{(1-x)(dx)-(1 +x)(-dx)}{(1-x)^2}\\\\\dfrac{dy}{dx}=\dfrac{1-x +1+x}{(1-x)^2}=\boxed{\dfrac{2}{(1-x)^2}}[/tex]
__
Additional comment
The formula used above is a combination of the power rule and the product rule.
d(u^-1) = -du·u^-2 = -du/u² . . . . power ruled(uv) = u·dv +v·du . . . . . . . . product ruleThe diagram show two congruent polygons joined together
Answer:
10
Step-by-step explanation: