Answer:
[tex]Boys = 24[/tex]
[tex]Girls = 18[/tex]
Step-by-step explanation:
Given
[tex]G:B= 3:4[/tex]
[tex]Total = 42[/tex]
Required
Determine the number of boys and girls
We have to convert the ratio to fraction;
Number of girls can be calculated as:
[tex]Girls = \frac{G}{G + B} * Total[/tex]
[tex]Girls = \frac{3}{3 + 4} * 42[/tex]
[tex]Girls = \frac{3}{7} * 42[/tex]
[tex]Girls = 3 * 6[/tex]
[tex]Girls = 18[/tex]
[tex]Boys = Total - Girls[/tex]
[tex]Boys = 42 - 18[/tex]
[tex]Boys = 24[/tex]
What is the equation of the exponential function that passes through (0,10) and (3,80) ?
A. y= 80(20)^x
B. y=10(2)^2
C. y=2x+10
D. y=3x+8
Answer: B
Step-by-step explanation:
A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years younger than the middle student. The sum of the ages of the students is 30. How many years old is the youngest student
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
A construction uses beams that are 2,3, or 4 meters long. The measure of each beam must be converted to centimeters. Write a function to describe the situation. Find a reasonable domain and range for the function. (Hint 1 m = 100 cm)
Answer:
The function rule be 100 × x
The independent variables i.e. (2, 3, and 4) are considered to be the domain
The dependent variable (200,300,400) are considered to be the range
Step-by-step explanation:
The computation is shown below:
As we know that
1 m = 100 cm
So
2 m = 200 cm
3 m = 300 cm
4 m = 400 cm
The function rule be 100 × x
The independent variables i.e. (2, 3, and 4) are considered to be the domain
The dependent variable (200,300,400) are considered to be the range
PLZZ HELP!!!!
1. Find the value of x and y.
2. In an A-figure house, the two congruent sides extend from the ground to form a 34° angle at the peek. What angle does each side form with the ground?
Problem 4
Note the markings at the top indicate that angle y represents half the angle BAC. In other words, we need 2 copies of angle y to make up angle BAC.
So we know that angle BAC = 2y
Due to the fact that triangle ABC is isosceles, we know that base angles B and C are congruent to 47.
Focusing on triangle ABC we have
A = 2yB = 47C = 47So,
A+B+C = 180 .... for any triangle, the angles always add to 180
2y+47+47 = 180
2y+94 = 180
2y = 180-94
2y = 86
y = 86/2
y = 43
Turn your attention to triangle ABD.
Here we have
angle A = y = 43angle B = 47angle D = xWe'll use the same idea as above, that all angles add to 180, to get...
A+B+D = 180
y+47+x = 180
43+47+x = 180
x+90 = 180
x = 180-90
x = 90
Answer: D) x = 90, y = 43===================================================
Problem 5
Let x be the angle formed by the diagonal sides and the horizontal ground. This is considered the base angle because this triangle is isosceles.
We have two base angles x and the third angle up top is 34
x+x+34 = 180
2x+34 = 180
2x = 180-34
2x = 146
x = 146/2
x = 73
Answer: C) 73What is the relationship between angle b and angle d?
A) corresponding
B) vertical
C) supplementary
D) alternate interior
Answer:
corresponding I believe
Step-by-step explanation:
if I'm wrong someone tell me and I'll go in the corner
Answer:
D) Alternate interior
Step-by-step explanation:
Its a bit hard to explain for me, since I did this stuff in 5th grade and now I'm in 10th.
P.S: Please mark my answer as brainliest, I need it to rank up.
a pickup truck travels 45 Mi on 2 and 1/3 gallons of gas how far did it travel on 1 gallon of gas
The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
What is Unit rate?A unit rate means a rate for one of something.
Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,
Since there are 45 miles in 7/3 gallons
So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon
Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
For more references on unit rate, click;
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Guys plz help me answer this question!!!
Awnser:
1/2 as m, and -3 as b
Step-by-step explanation:
To find the equation of any line, you use the formula: mx+b=y, where m is the slope, y is the y coordinate, b is the y intercept, and x is the x coordinate. However, it only asks for b and m.
You'll need to first find 2 points.
I chose: (6,0) and (0,-3).
The formula to find the slope is: y2-y1/x2-x1.
0-(-3)/6-0
0+3/6
3/6
1/2
Now we need to find the y intercept. However, the graph already tells you what it is. The y intercept always has to have 0 as x.
So the awnser is 1/2 as m, and -3 as b.
Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?
Answer:
Width = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2L + 2W
W = L - 20
P = 140
Hence,
140 = 2L + 2(L - 20)
140 = 2L + 2L - 40
Collect like terms
140 + 40 = 4L
180 = 4L
L = 180/40
L = 45 feet
Length = 45 feet
Width = L - 20 feet
=( 45 - 20) feet
= 25 feet
Joe had a balance of $34 on his credit card. He bought a sandwich and charged $40 on his credit card. 1a.) Write an equation that represents this scenario.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Credit card balance = $34
Amount of sandwich purchased = $40
The cost of sandwich purchased us added to the Initial credit card balance as the balance in a credit card is amount owed.
Hence it could be interpreted as though Joe has made purchases which amounts to $34 with his card before purchasing sandwich that costs $40
Hence; new card balance :
(Intial card balance + cost of sandwich)
$34 + $40 = $74
HELP! help is needed ASAP! help is very much appreciated.
Answer:
Length of side e is 4.12
Length of side f is 4.24
The length of side f is larger than length of side e
Step-by-step explanation:
We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.
We can use distance formula to calculate lengths of line segments.
The Distance Formula is: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Finding length of side e:
We are given points (-2,3) and (-1,-1)
here we have [tex]x_1=-2, y_1=3, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12[/tex]
So, Length of side e is 4.12
Finding length of side f:
We are given points (2,2) and (-1,-1)
here we have [tex]x_1=2, y_1=2, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24[/tex]
So, Length of side f is 4.24
The length of side f is larger than length of side e
What is 2/5 + + 2/5 + 2/5
(2/5 times 3)
Ty
Answer:
6/5 or 1 1/5
Step-by-step explanation:
2/5 + 2/5 + 2/5 = 6/5 or 1 1/5
This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5
Answer:
6/5 or 1 1/5
Step-by-step explanation:
2/5 + 2/5 + 2/5 = 6/5 or 1 1/5
This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5
Step-by-step explanation:
What is the answer for X (geometry)
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In the lower triangle, one of the angles of which is 45 degrees, we know:
In the triangle, the side facing the angle 45° is √2 / 2 times the hypothenuse.
Thus ;
[tex]10 = hypothenuse \times \frac{ \sqrt{2} }{2} \\ [/tex]
[tex]hypothenuse \times \frac{ \sqrt{2} }{2} = 10 \\ [/tex]
Multiply sides by 2
[tex]hypothenuse \times \sqrt{2} = 2 \times 10[/tex]
Divide sides by √2
[tex]hypothenuse = \frac{2 \times 10}{ \sqrt{2} } \\ [/tex]
[tex]hypothenuse = \frac{ \sqrt{2} \times \sqrt{2} \times 10 }{ \sqrt{2} } \\ [/tex]
[tex]hypothenuse = 10 \sqrt{2} [/tex]
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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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The common side of the triangles is hypothenuse for both.
[tex]hypothenuse \times \cos(60) = x[/tex]
[tex]10 \sqrt{2} \times \frac{1}{2} = x \\ [/tex]
[tex]x = \frac{2 \times 5 \sqrt{2} }{2} \\ [/tex]
[tex]x = 5 \sqrt{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is the Third Option .
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Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?
HURRY!!! WILL GIVE ALOT OF POINT AND BRAINLIEST
Answer:
1.78
Step-by-step explanation:
7 is repeating but i rounded to the tenths its this. also, i just divided it by three because he cuts into three parts.
a spinner with 10 equally sized slices has 2 red slices, 4 blue slices, and yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice.
(Write your answer as a fraction in simplest form).
Since there are 10 total slices and 2 are red the probability of the dial stopping on a red slice is 2/10. But in simplest form 1/5.
The probability that the dial stops on a red slice is 1/5 or 20%.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward example. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
Given:
number of total slices = 10
Red slices = 2
Blue slices= 4
Yellow slices= 10- 6 = 4
Now, probability that the dial stops on a red slice
=2/10
=1/5
=1/5 x 100
=20%
Hence, the probability that the dial stops on a red slice is 1/5 or 20%..
Learn more about probability here:
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1.
Which of these expressions is equivalent to 3(x - 2)?
A.
3x – 6
B.
3x
2
C.
3x + 2
D.
3x + 6
Answer:
A. 3x - 6
General Formulas and Concepts:
Pre-Alg
Distributive PropertyStep-by-step explanation:
Step 1: Define expression
3(x - 2)
Step 2: Expand
Distribute 3 to both terms: 3x - 6A new one-year membership at RecPlex costs $160. A registration fee of $28 is paid up front, and the rest is paid monthly. How much do new members pay each month? Write an equation for this..
Answer:
The first month new members have to pay 188 dollars for the membership.
The equation is 160x+28=y
x stands for the number of months and y stands for the total cost.
For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.
can you writ the answe in a sheet on paper
Step-by-step explanation:
Make t the subject of the formula (5÷ t) -2 = s
__________________________________________________________
all the questions is on my page there is more 4
3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be used? How many pounds of oats will be used?
Answer:
The amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
Step-by-step explanation:
Given that the Soybean Meal has 46% CP and Oats has 12% CP.
The total amount of ration is 900 lbs of 35% CP.
Let x pounds of Soyabean has been used, so,
the amount of Oats = 900-x lbs.
The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e
35% of 900 = 46% of x + 12% of (900-x)
[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]
[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]
[tex]\Rightarrow 34x= 900(35-12)[/tex]
[tex]\Rightarrow x = (900\times 23)/34[/tex]
[tex]\Rightarrow x = 608.82[/tex] lbs.
So, the amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
What is the absolute value of -250?
Answer:
250
Step-by-step explanation:
Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.
The side of an equilateral triangle is 14 meters. What is the height of the triangle?.
Answer:
14... since all of it is equal
Step-by-step explanation:
What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?
Answer:
D
Step-by-step explanation:
Midpoint Formula:
[tex]\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}[/tex]
[tex]\frac{3+1}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒ [tex]2[/tex]
[tex]\frac{8+-4}{2}[/tex] ⇒ [tex]\frac{8-4}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒[tex]2[/tex]
[tex](2,2)[/tex]
find x (11x-1) (20x-3) 151
Answer:
x=5 I think
Step-by-step explanation:
just search it up online
Please answer these questions for 8th Grade Algebra! First-person to answer will be marked as brainiest! Worth lots of points!
1. x<=20
2. k<0
3. d<-3
4. m<=11
5. a>=3
6. 6<-5
This should help
WILL MARK BRAINLEST, PLEASE HELP !!!
Answer:
rate of change = first derivative= g'(x)=-2x+6
plug -3 to 5 into that g'(x) equation, it will be your answer
Step-by-step explanation:
9514 1404 393
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) on the interval [a, b] is computed from ...
m = (f(b) -f(a))/(b -a)
On the interval [-3, 5] the average rate of change is ...
m = (f(5) -f(3))/(5 -(-3)) = ((-5^2 +6·5 +12) -(-(-3)^2 +6(-3) +12))/8
= (-25 +30 +12 +9 +18 -12)/8 = 32/8
m = 4
The average rate of change on the interval is 4.
__
Alternate solution
The first derivative of the function is ...
f'(x) = -2x +6
The average rate of change of a parabolic function on an interval is the rated of change at the midpoint of the interval. Here, the midpoint is x=(5+(-3))/2 = 1, so the average rate of change is ...
f'(1) = -2(1) +6 = 4
If 4(r + 2) – 13 = 11, what is the value of r?
x·6−14=46
Answer asap!!!! thank you!!
Answer:
x=10
Step-by-step explanation:
[tex]6x-14=46\\6x=60\\x=10[/tex]
Considere la siguiente ecuación: 16a – ( 3a – (6 – 9a) ) = 30a + ( – (3a + 2) – (a + 3) ) III) Al romper paréntesis, agrupar términos semejantes y simplificar. La ecuación queda:
Answer:
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Step-by-step explanation:
Tenemos la siguiente ecuación simultánea: [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex]. El procedimiento consiste en destruir los paréntesis desde dentro hacia fuera, agrupar los términos semejantes y simplificar. Presentamos el proceso paso por paso:
1) [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex] Dado
2) [tex]16\cdot a -\{3\cdot a + (-1)\cdot [6+(-1)\cdot 9\cdot a]\} = 30\cdot a +\{(-1)\cdot (3\cdot a +2)+(-1)\cdot (a+3)\}[/tex] [tex]-b = (-1)\cdot b[/tex]
3) [tex]16\cdot a -\{[(-1)\cdot (6)+(-1)\cdot (-1)\cdot 9\cdot a]\}= 30\cdot a +\{\left[(-1)\cdot (3\cdot a) + (-1)\cdot (2)\right] +[(-1)\cdot a +(-1)\cdot (3)] \}[/tex] Propiedad distributiva
4) [tex]16\cdot a -(-6+9\cdot a) = 30\cdot a +(-3\cdot a -2-a-3)[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
5) [tex]16\cdot a +(-1)\cdot (-6+9\cdot a) = 30\cdot a -4\cdot a-5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/[tex]-b = (-1)\cdot b[/tex]
6) [tex]16\cdot a +[(-1)\cdot (-6)+(-1)\cdot (9\cdot a)] = 26\cdot a -5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/Propiedad modulativa.
7) [tex]16\cdot a +6-9\cdot a = 26\cdot a - 5[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
8) [tex]7\cdot a +6 = 26\cdot a - 5[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
9) [tex]6+5 = 26\cdot a -7\cdot a[/tex] Compatibilidad con la adición/Definición de sustracción.
10) [tex]11 = 19\cdot a[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
11) [tex]19\cdot a = 11[/tex] Simetría de la igualdad.
12) [tex]a = \frac{11}{19}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división/Resultado.
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Perform the indicated operation 9 15/22 -3 2/11
Answer:
6 1/2
Step-by-step explanation:
Answer:6 1/2
Step-by-step explanation: do the math search it up
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
=================================
Work Shown:
Solve the second equation for f(b)
2f(b) = 28
f(b) = 28/2
f(b) = 14
----------
Plug in x = b and solve for b
f(x) = 3x-1
f(b) = 3b-1 ... replace every x with b
14 = 3b-1 ..... plug in f(b) = 14
3b-1 = 14
3b = 14+1
3b = 15
b = 15/3
b = 5
-----------
f(x) = 3x-1
f(2b) = 3(2b)-1 .... replace every x with 2b
f(2b) = 3(2*5)-1 .... plug in b = 5
f(2b) = 3*10-1
f(2b) = 30-1
f(2b) = 29
Find the rate of change
(Pls help!)
Answer: 11.5
Step-by-step explanation:
It’s delta y over delta x so you would take any two combination of coordinates and subtract and divide. I used 57.50-23 over 5-2... this gets you 34.5 over 3. This is also equal to 11.5 :)
Help please, thanks :)
Answer:
60°
Step-by-step explanation:
Angle 1 is a vertical angle to 60° by the definition of a vertical angle.
Answer:
∠1 = 60°
Step-by-step explanation: