[tex] \huge{ \bf{ \underline{ \underline{ \pink{Solution:}}}}}[/tex]
Let,
Number of boys be 3xNumber of girls be 2xThen, Total number of students = 3x + 2x = 5xIt is given that,
➙ Number of girls = 420
Then,
➙ 2x = 420
➙ x = 420/2 = 210
No. of boys = 3x = 630
Then,
➙ Number of students = 5x
➙ Number of students = 5(210)
➙ Number of students = 1050
ANSWER - 1050━━━━━━━━━━━━━━━━━━━━
Answer:
3+2=5 2x=120
Step-by-step explanation:
x=420/2=210 boy=3=630 no of students =5 5(210)=2050
Question (8 points)
Kirsten went to Champs and brought a pair of KD's for $99.99 and a shirt to match for $17.99. If Kirsten gave the
cashier $120, how much change will she get back
An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x
Answer:
x = 250,000
Step-by-step explanation:
A = P(1 + rt)
550,000 = x (1 +2% x 60)
550,000/(1 +2% x 60) = 250,000
x = 250,000
Check your answer
A = 250,000 (1+2%x60)
A = 550,000
pls mark brainliest
Jasmine found a wooden jewelry box shaped like a right rectangular prism. What
is the volume of the jewelry box?
8 cm
6 cm
14 cm
Answer:
8cm
Step-by-step explanation:
8 because [tex]\sqrt[3]{8}[/tex] is 2
Answer:
672 cubic cm
Step-by-step explanation:
Hello!
To find the volume of a rectangular prism we use the equation
V = whl
V is volume
w is width
h is height
l is length
Put in what we know
V = 8 * 6 * 14
Solve
V = 672 cubic cm
The answer is 672 cubic cm
Hope this helps!
The base of a parallelogram is (2x + 3) units and the corresponding height is (3x – 2) units. Find the area of the parallelogram in terms of x. What will be the area of parallelogram if x = 30 units?please explain how you got the answer
Answer:
S = 6x² + 5x - 6
5544 sq. units
Step-by-step explanation:
Area of parallelogram is:
S = bhGiven:
b = 2x+3h = 3x -2Then:
S = (2x + 3)(3x - 2) = 6x² - 4x + 9x - 6 = 6x² + 5x - 6S = 6x² + 5x - 6
If x = 30, then plug it in the equation:
S = 6*30² + 5*30 - 6 = 5544 sq. unitsPLEASE SHOW ALL WORK NEED ASAP GIVING BRAINLIEST
Step-by-step explanation:
From the figure we observe :
Length of laundry room (G) = C - H
G = (4x - 2) - (x + 6) = 3x - 8
Breadth of laundry room (F) = K - E
F = (2x - 5) - (x - 13) = x + 8
(A) Perimeter = 2(L + B)
= 2(4x)
= 8x
(B) Area = L * B
= (3x - 8) * (x + 8)
= 3x^2 + 16x - 64
please help me on both with a explanation Will make you brainliest
Answer:
a...is wrong because it doesnt have a common denominator ..and its not a rational exponent .
11/12=0.916
in second one denominators are common and it is a rational exponent .
so the answer is b..
2/12=1/6
9/12=3/4
as you can see the denominator are common and its a rational exponent .
how many numbers lie between square of 36 and 37
Answer:
73 numbers
Step-by-step explanation:
36²
=36 × 36
=1,296
37²
=37 × 37
=1,369
The total number that lies between 36² and 37² = 37² - 36²
=1,369 - 1,296
= 73 numbers
This is to say that, there are 73 numbers between 36² (1,296 ) and 37² ( 1,369)
The estimation of the product of 52 and 188 is equal to what
Answer:
[tex]\huge \boxed{\mathrm{10,000}}[/tex]
Step-by-step explanation:
We have to estimate the two numbers, we can round up the two numbers to nearest tens.
Estimate 52 to 50.
52 ≈ 50
Estimate 188 to 200.
188 ≈ 200
The estimated product would be:
200 × 50 = 10,000
Answer:
10000
Step-by-step explanation:
pls mark as brainliest
A cell phone plan costs $20 a month and includes 200 free minutes. Each additional minute costs 5 cents. Assume that you use your cell phone for at least 200 minutes a month. If x is the total number of minutes a month, then your total cost C is given by:
Answer:
The total cost C = $10 + $0.05·x
Step-by-step explanation:
The given parameters are
The cost of the cell phone plan per month = $20
The number of minutes of free calls that one can make in a month = 200 minutes
The cost of additional minutes of cell phone call = 5 cent
5 cents to a dollar = $0.05
The total number of minutes of calls made in a month = x
The time duration of a person's usage of the cell phone in a month > 200 minutes
The total cost C of a person's usage per month is given by;
C = $20 + $0.05 × (x - 200) = $20 + 0.05·x - $10
C = $10 + $0.05·x
Where x > 200.
Answer:
The total cost C = $10 + $0.05·x
Step-by-step explanation:
. Find the value of p for which 2x2 + 6x + 3p = 0 has reciprocal roots.
Hello, the product of the roots is
[tex]\dfrac{3p}{2}[/tex]
So, if there are reciprocal roots, their product is 1, and then
[tex]\dfrac{3p}{2}=1<=> p=\dfrac{2}{3}[/tex]
Thank you
NEED HELP ASAP ALGEBRA 2
Answer:
15
Step-by-step explanation:
Use the pythagorean theorem.
A² + B² = C²
In this case, A = 8, B is unknown, and C = 17. B is the side that we want to calculate.
8² + B² = 17²
64 + B² = 289
B² = 225
B = √225 = 15
Tamara earns $15 an hour at her job working 25 hourse per week. If 21% of her paycheck goeas to taxes, what is Tamara's monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month.)
Which value of p makes the equation 18+ 2 (3p – 8) = –37 true?
O p = -7.83
O p = -6.5
O p = -5
O p = 2.05
Answer:
p = -6.5
Step-by-step explanation:
Given:
18+ 2 (3p – 8) = –37Solving for p:
18+ 2 (3p – 8) = –3718 + 6p - 16 = -376p + 2 = -376p = -37 - 26p = -39p = -39/6p = -6.5Option 2 is correct in the list
700,000,000+10,000,000+1,000,000+100,000+40,000+2,000+200+7 write the standard form above
Answer:
712,402,207
Step-by-step explanation:
;)
Answer: 711,142,207
Step-by-step explanation:
Performance Task
17. The graph shows the relationship between
the total cost and the number of pounds
of rice purchased
40
30
Total cost (5)
20
10
0
2 4 6 8
Amount of rice (lb)
Part A: What does (6, 18) represent?
Part B:Which point represents the unit
price?
Part C: How many pounds would you
have to buy for the total to be 512?
Explain how to find the answer
Answer:
Sorry but all I know is that part a is 6 pounds will cost $18
Step-by-step explanation:
how to do this question plz answer me step by step plzz plz plz
Answer:
no
Step-by-step explanation:
The circumference of a table is ...
C = πd = π(180 cm) ≈ 565.5 cm
At 70 cm/guest, a table will accommodate ...
565.5 cm/(70 cm/guest) = 8.08 guests
At 8 guests per table, the available 18 tables will accommodate ...
(18 tables)(8 guests/table) = 144 guests
There is not enough space at 18 tables for 145 guests.
Answer:
No, it's not.
Step-by-step explanation:
First, find the circumference of the table:
C = 2πr
= 2 × 22/7 × 180/2
NOTE: Diameter/2 is equal to the radius because half of Diameter is a radius.
= 44/7 × 90
= 3,969/7
= 565.71 approximately 566cm²
Next, find how many guests can occupy a table:
566/70 = 8.08 approximately 8 guests.
Now, how many guests will be in 18 tables?
18 × 8 = 144 guests, but we need 145 guests, so it is not enough.
Ariel completes the square for the function y=x^2-16x+17. What is the function of the parabola?
Answer:
y = (x - 8)² - 47
Step-by-step explanation:
x² - 16x + 17 = 0
x² - 16x = -17
(-16) / 2 = -8
-8² = 64
x² - 16x + 64 = -17 + 64
(x - 8)² = 47
y = (x - 8)² - 47
Find the property for
9 • (-1 • x) = 9 • (-x)
can someone just answer these lol idk what to say .
Answer:
1.) -11x 2.)-2x
If you were to describe a reflection of triangle ABC, what information would you need to include in your description?
Answer:
you would add your points and where it is located
Step-by-step explanation:
The committee is planning a party and 150 guests are expected. Each table seats 12 people. How many tables will be needed to seat all 150 guests?
Answer:
You will need about 13 tables.
Step-by-step explanation:
I divided the number of guests by 12 and got 12.5 however you can't have half of a table so I rounded up and got 13.
solve for j : 16 = j + -3
Answer:
[tex]\boxed{j=19}[/tex]
Step-by-step explanation:
Hey there!
Given the following,
16 = j -3
Single out j
+3 to both sides
19 = j
Hope this helps :)
How is inductive reasoning used to recognize mathematical relationships?
Answer:
A general way of explaining this is
Suppose that we have a given property (or a pattern if we are working with a series of numbers):
Now, if that property is true, for example, for the numbers 1, 2, 3... etc. Then we can suppose that the property is also true for an unknown number N.
Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.
We actually can use any set, not only the natural numbers.
For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.
Help fast plz are they similar or not
Write an equation of the line and interpret the slope.
AC = 5x - 8 and CD = 16 - 3x
x=
AD=
Answer:
Step-by-step explanation:
5x - 8 = 16 -3x
8x - 8 = 16
8x = 24
x = 3
AC= 5(3) - 8 = 15 - 8 = 7
CD= 16 - 3(3) = 16 -9 = 7
7 + 7 = 14 = AD
The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given the line segment AD with mid-point C
So,
AC = CD
5x - 8 = 16 - 3x
8x = 16 + 8
x = 3
So,
AD = 5x - 8 + 16- 3x
AD = 2x + 8
AD = 2(3) + 8 = 14
Hence "The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively".
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does anyone know how to find square root quickly?
Answer: The quick way is to square the half of it.
Step-by-step explanation: You divide your main number by 2 and figure out that half. If it is still too big, divide by 2 again. If you need to keep repeating that is fine. Thank you multiply your answer by however many times you divided by 2.
Answer:
Step-by-step explanation: Make a perfect square list
This is one that goes to 15
[tex]\sqrt{1} \sqrt{4} \sqrt{9} \sqrt{16} \sqrt{25} \sqrt{36} \sqrt{49} \sqrt{64} \sqrt{81} \sqrt{100} \sqrt{121} \sqrt{144} \sqrt{169} \sqrt{196} \sqrt{225}[/tex]
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
The numbers on top are the square root and the numbers under are the answer or squared numbers. There is also a way to solve them if the number is between a number in the list like 18 but i don't feel like explaining that this is just the basic squares.
If the data in a scatter plot form a nearly perfect circle, the Pearson correlation would be approximately ____.
Answer:
zero
Step-by-step explanation:
Pearson correlation coefficient represented by r is calculated by dividing the covariance by the standard deviation of one variable(x) multiply by the standard deviation of the other variable(y).
A scatter plot diagram is a graphical display of data that in which these two variables are observed simultaneously.
A positive correlation is said to have a positive slope which means that the two variable x and y increases in x as there is increase in y.
On the other hand , when there is an increase in x and a decrease in y, the correlation between x and y is said to be negative and the corresponding regression line has a negative slope.
Occasionally, there may be no apparent association between x and y. In that wise, the data in the scatter plot diagram usually form a nearly perfect circle and are said to have a zero correlation.
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be equal to 45°. greater than 45° and less than 90°. equal to 90°. greater than 90° and less than 180°.
Answer:
The sum of m∠Q and m∠S must be equal 90°Step-by-step explanation:
The measure of right angle is 90°
The sum of measures of angles in any triangle is 180°
so:
m∠Q + m∠S + ∠R = 180°
m∠Q + m∠S + 90° = 180°
m∠Q + m∠S = 180° - 90°
m∠Q + m∠S = 90°
In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.
What is right triangle?"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."
Condition used
In ΔQRS
∠Q + ∠R + ∠S = 180°
According to the question,
Given,
In right triangle ΔQRS,
∠R = 90°
Substitute the value in the above condition of triangle we get,
∠Q + 90° + ∠S =180°
⇒ ∠Q + ∠S =180°- 90°
⇒∠Q + ∠S = 90°
Hence, in right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.
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two angle in a triangle message 2x+30 degree and 5x+30 degree respectively if these angle are congruent, what is the value in degree of X
Answer:
x = 0
Step-by-step explanation:
two congruent angles 2x + 30 and 5x + 30
2x + 30 = 5x + 30
2x = 5x
2x + (-5x) = 5x + (-5x)
-3x = 0
x = 0 / -3
x = 0
The value of x will be;
⇒ x = 0
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.
Now,
Since, Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.
Hence, We get;
⇒ 2x + 30 = 5x + 30
Solve for x as;
⇒ 30 - 30 = 5x - 2x
⇒ 0 = 3x
⇒ x = 0
Thus, The value of x = 0
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