Answer:
girls = 61
boys = 73
Step-by-step explanation:
Let x = number of girls
Let y = number of boys
Given the difference between the number of the girls and the number of the boys in the outdoors club is 12:
⇒ y - x = 12
Given there are 4 times the number of the girls decreased by 25 equals 3 times the number of the boys:
⇒ 4x - 25 = 3y
Rearrange x - y = 12 to make y the subject:
⇒ y = 12 + x
Substitute x = 12 + y into 4x - 25 = 3y and solve for y:
⇒ 4x- 25 = 3(12 + x)
⇒ 4x- 25 = 36 + 3x
⇒ x = 61
Now we have found the value of x, substitute this into y = 12 + x and solve for y:
⇒ y = 12 + 61
⇒ y = 73
HELLO THERE, "Math wizards" and others can you solve these tricky problems? 2 ÷ 14 and solve this -5 ÷12 I will mark BRAINILEST ON WHOEVER MAKES THIER ANSWER IF THIER IS NOT A EXACT COPY OFF OF SOME ELSE'S :] looks like your "math power level" won't be high enough to beat this problem.....
Answer:
2/14=0.143
-5/12= -0.417
Step-by-step explanation:
9. Determine the discriminant of 2x² - 6x + 7 = 0 and then state how many solutions there are; additionally,
state the nature of the solutions. Do not solve.
We need to find the nature of the roots of the quadratic equation 2x² - 6x + 7 = 0 , and need to find the Discriminant
Now ,as we know that the Discriminant of any quadratic equation of the form ax² + bx + c = 0 , is D = b² - 4ac
So now ;
[tex]{:\implies \quad \sf D=(-6)^{2}-4\times 2\times 7}[/tex]
[tex]{:\implies \quad \sf D=36-56}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Discriminant=-20}}}[/tex]
Now , as D < 0 ,So nature of roots will be imaginary
Match the part of the circle with the term that best describes it.
The part of the circle with the term is given.
What is a diameter?A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.
The matches of the part of the circle with the respective term is given below:
GH ↔ chord
M ↔ point of tangency
MJ ↔ diameter
J ↔ center
MH ↔ radius
GH ↔ secant
Therefore, all the part of the circle are matched with the respective term.
To learn more about the diameter;
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Translate this sentence into an equation.
64 is the sum of 20 and Greg's score.
Use the variable g to represent Greg's score.
Answer:
64 = 20 + g
Step-by-step explanation:
Greg's score is g.
Greg's score plus 20 is equal to 64.
In equation form, this is 20 + g = 64
Someone plsss help me with this
I honestly totally forgot cuz they kept shoving dif stuff in my head, shawtees
So pls help
Answer:
Question 1. You can find the area of the rectangle, by multiplying the length and width of the rectangle, where (x + 2) is the length and (x + 1) is the width.
[tex]\mathrm{Question\:\:2.\quad{(x + 1)(x + 2) = { x }^{ 2 } +x+2x+2}}[/tex]
[tex]\mathrm{Question\:\:3.\quad{{ x }^{ 2 } +3x+2}}[/tex]
Step-by-step explanation:
Steps for finding the area of the rectangle
[tex]\mathrm{(x + 1)(x + 2)}[/tex]
Apply the distributive property by multiplying each term of x+2 by each term of x + 1
[tex]{ x }^{ 2 } +x+2x+2}[/tex]
Combine x and 2x to get 3x
[tex]{ x }^{ 2 } +3x+2[/tex]
i need help for this qus
x+7=10
Step-by-step explanation:
x+7=10
10-7= x
x = 3
3+7=10
Answer:
x = 3
Explanation:
Subtract 7 from 10.
10 - 7 = 3
Therefore, 3 + 7 = 10
50 points. what is the area of this figure?
Answer:
61 ft squared
Step-by-step explanation:
To solve the area of this equation, it would be easy to break it into separate rectangles/squares.
The first rectangle will be the one with the dimensions 10 x 4.
This makes the area 40 ft.
The next rectangle will have the dimensions 5 x 3.
This makes the area 15 ft.
The last rectangle will have the dimensions 3 x 2.
This makes the area 6 ft.
Add it all up and you get 61 ft squared.
Answer:
the answer is 61 feet squared
Step-by-step explanation:
the diagram shows a prism whose cross-section is an equilateral triangle of lengths 10cm. the length of the prism is 20cm
Answer:
[tex]686.6 cm^2[/tex]
Step-by-step explanation:
From the volume we can find the surface area of one of the triangle sides, by dividing it by its height. You find out that the surface of the triangle face is [tex]\frac {866}{20}=43.3 cm^2[/tex]. Let's pick two of them since we have two side faces (one close to us in the image, one far away), for a total area of [tex]86.6 cm^2[/tex]. At this point we need to add the area of the rectangular faces, which are three rectangles of length 20 and height 10, for a grand total of [tex]3\times10\times20 = 600 cm^2[/tex].
Adding everything together, we get [tex]600+86.6 = 686.6 cm^2[/tex]
Answer:
c = 686.6
Step-by-step explanation:
A=ah+bh+ch+1/2√﹣a⁴+2(ab)²+2(ac)²﹣b⁴+2(bc)²﹣c⁴
=10·20+10·20+10·20+1/2·√﹣10⁴+2·(10·10)²+2·(10·10)²﹣10⁴+2·(10·10)²﹣10⁴
=686.60254
I NEED HELP ASAP
Annual Interest Rate: A = P+Prt
Solve for r.
Answer:
r = [tex]\frac{A-P}{Pt}[/tex]
Step-by-step explanation:
Step 1: Subtract P from both sides.
[tex]P+Prt-P=A-P[/tex] [tex]Prt= A - P[/tex]Step 2: Divide both sides by Pt.
[tex]\frac{Prt}{Pt} = \frac{A-P}{Pt}[/tex] [tex]r= \frac{A-P}{Pt}[/tex]Cherly paid $35.20 for a strawberry shortcake and 4 doughnuts. ria paid $50.80 for a strawberry shortcake and 10 doughnuts. how much does a strawberry shortcake cost
Answer:$24.80
Step-by-step explanation:
Please Help Me I Will Give You The Brain Crown And Extra Points! Pt2
A projectile’s maximum height is shown by the vertex of the parabola. When does the cannonball reach its maximum height? Round to the nearest whole number and remember to include units.
=========================================================
Explanation:
I'll be using x in place of t
The equation given is y = -4.9x^2 + 19.8x + 58
It is of the form y = ax^2 + bx + c which is the standard form for quadratics.
We have,
a = -4.9b = 19.8c = 58Plug the first two values into the equation below
h = -b/(2a)
h = -19.8/(2*(-4.9))
h = 2.0204081632653
That value is approximate.
Rounding to the nearest whole number gets us roughly h = 2
Recall that (h,k) is the vertex of the parabola. In this case, it's the highest point. The cannonball reaches the highest point at roughly 2 seconds.
-----------------
Extra side notes:
To find the maximum height, plug the h value into the original equation. This will yield the value of k.To find the cannonball's flight time, plug in y = 0 and solve for x. Ignore the negative x solution.nathan mixes 5 parts water with 2 parts liquid plant food
Answer: what ARE you trying to ask?
Step-by-step explanation: ??
what is the sum of 5 4/6 + 4 1/3
Answer:
10
Step-by-step explanation:
First convert them to improper fractions
5 4/6 = (5×6 + 4)/6= 34/6
4 1/3 = (4×3 + 1)/3=13/3
Now make them have the same denominator. In order to do this, you must multiple 13/3 by 2/2, so both the denominators equal 6.
13/3 × 2/2 = 26/6
34/6 + 26/6 = 60/6 = 10
Lena has 1.6kg of sugar.She uses 470g for a cake.
How much sugar does she have left?
Answer: 1130 grams.
Step-by-step explanation:
She has 1130 grams remaining after converting 1.6kg to grams (160 0grams).
Answer:
1.13kgStep-by-step explanation:
=> 1 kilogram = 1000 gramsconvert into grams
=> 1.6 × 1000multiply 1000 by 1.6
=> 1600Now substract 470g from it
=> 1600 - 470subtract 470 from 1600
=> 1,130gconvert the g back into kg
=> 1130 ÷ 1000divide 1130 by 1000
=> 1.13kgMultiply (simplest form)
6x^2/x(x-3)•(x-3)/10(x+2)
Answer:
[tex]\frac{3x}{5(x+2)}[/tex]
Step-by-step explanation:
Rewrite the division as a fraction.
Please Help 20 Points
Answer:
Honestly i might be wrong but i did some math and got the first one
Step-by-step explanation:
soryy if im wrong 144a^3
Answer:
The answer is D 4a^3Step-by-step explanation:
B= 12a^3 - 6a^3 - 2a^3= 2a^3 - 8a^3=4a^3Hope this helps you.^-^Multiply: (x+2)(x+8) Simplify and write your answer in Standard Form.
Answer:
(x+2)(x+8)=0
therefore if x+2=0
x+2-2=0-2
x=-2
and in standard form -2×10ⁿ where n=0
Use the drawing tool(s) to form the correct answers on the provided graph.
Consider the given function.
h(x) = (x + 1)^2 - 4 plot the intercept
Answer:
The answers are in the images below.
Step-by-step explanation:
The graph of the function h(x) = (x + 1)² - 4 is given in attachment and it is a parabola.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given function is h(x) = (x + 1)² - 4
h of x equal to x plus one whole square minus four.
We have to draw the graph of function h(x) = (x + 1)² - 4
Let us find some points of the graph by considering the function.
When x=0,
y=-3
When x=1
y=0
when x=2
y=5
when x=3
y=12
Now let us plot these points on the graph, we get a parabola as in attachment.
Hence, the graph of the function h(x) = (x + 1)² - 4 is given in attachment and it is a parabola.
To learn more on Graph click:
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ABCD is a rectangle with diagonals and if AC= 7x-4 and BD= 10 find the value of x ?
Answer: x=2
Step-by-step explanation:
The diagonals of a rectangle are equal.
Therefore AC=BD,
7x-4=10
7x=10+4
7x=14
x=14÷7
x=2
What is the mean of this data set?
THE PUPSTERS
THE PUPSTERS
n = 10
Number of animals placed in a home:
2, 4, 4, 5, 5, 5, 5, 6, 6, 8
Number of animals placed in a home
Mean: ?
Range:?
1/3 (1632 + x) = 726 solve for x
pLS help please i beg i plea plssss
[tex] \frac{1}{3} (1632 + x) = 726[/tex]
[tex] \frac{1}{3} (x + 1632) = 726[/tex]
[tex] \frac{1(x + 1632)}{3} = 726[/tex]
[tex] \frac{x + 1632}{3} = 726[/tex]
[tex]3· \frac{x + 1632}{3} = 3·726[/tex]
[tex]x + 1632 = 3·726[/tex]
[tex]x + 1632 = 2178[/tex]
[tex]x + 1632 - 1632 = 2178 - 1632[/tex]
[tex]x =546[/tex]
So, the value of x is 546.
Work out the values of 9x - бу
Answer:
3(3x - 2y)
Step-by-step explanation:
9x - 6y
Factor out 3 from the expression
3(3x - 2y)
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
Find the value of x.
Answer:
Your answer is right at the top of the trapizoid
Step-by-step explanation:
solve this equation 7(x - 2) +5 = 3(2x -1) +1
Answer:
x=7
Step-by-step explanation:
can someone help me out please ?
Answer:
[tex]8 + x = 25 \\ x = 25 - 8 \\ 17[/tex]
What value of x is in the solution set of 3(x – 4) > 5x + 2?
EO
0-10
ООО
05
A
5
Answer:
What value of x is in the solution set of 3(x - 4) = 5x + 2?
Solution:
3(x - 4) = 5x + 2 [Given]
Using the distributive law of multiplication on LHS
3x - 12 = 5x + 2
By grouping the similar terms on either sides and solving for x, we get
3x - 5x = 2 + 12
- 2x = 14
Divide both sides by -2 (by division property of equality)
(- 2x/2 )= 14/2
-x = 7
Therefore, the value of x is -7.
To help open up a wine bar, Jose borrowed money from a bank. He took out a personal, amortized loan for $49,000, at an interest rate of 6. 65%, with monthly payments for a term of 7 years
Using simple interest, it is found that the monthly payments are of $854.875.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are A(0) = 49000, r = 0.0665, t = 7, hence the total amount is of:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]A(t) = 49000[1 + 0.0665(7)][/tex]
[tex]A(t) = 71809.5[/tex]
Payments over a period of 12 x 7 = 84 months, hence the monthly payments are of:
71809.5/84 = $854.875.
More can be learned about simple interest at https://brainly.com/question/25296782
Avery bought a washing machine originally priced at $864. 72 but on sale for 30% off. After 4% sales tax what was the total cost?
Answer:
$629.52
Step-by-step explanation:
864.72(.3) = 259.41
864.72 - 259.41 = 605.31
605.31(.04) = 24.21
605.31 + 24.21 = 629.52
Santiago’s car travels 120 miles with 10 gallons of gas. Gustavo’s car travels 25 miles with 4 gallons of gas. Whose car gets the best gas mileage (miles per gallon)?
Answer:
gutavas get the best gas mileage
i’m confused can y’all help ?