there are 18 people at the party. some are boys and some are girls. the number of boys is the same as the number of girls
Answer:
9 boys 9 girls
Step-by-step explanation:
18 = 2x
9
Use the distributive property to remove the parentheses (x+12)8
Answer:
Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
Step-by-step explanation:
We need to used distributive property to solve (x+12)8
The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]
Using the property:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in
Answer:
Step-by-step explanation:
It’s 24
Answer:
b.12 inch squared
Step-by-step explanation:
6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12
there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?
Answer:
112
the answer is 112 :)))))
Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo
Answer:
$40.23
Step-by-step explanation:
Answer:
40.23
Step-by-step explanation:
easy just do 13.5*2.98
Angle A measures 4x + 40 degrees and angle B measures x – 10
degrees. If angles A and B are complementary, what is the
measure of angle B?
Answer:
2°
Step-by-step explanation:
Since, angles A and B are complementary.
Therefore,
[tex] m\angle A + m\angle B = 90\degree \\\\
(4x +40)\degree + (x-10)\degree = 90\degree \\\\
(4x+x +40-10)\degree = 90\degree \\\\
(5x +30)\degree = 90\degree \\\\
5x + 30= 90\\\\
5x = 90 - 30\\\\
5x = 60\\\\
x = \frac{60}{5}\\\\
x = 12\\\\
m\angle B = (x-10)\degree \\\\
m\angle B = (112-10)\degree \\\\
m\angle B = 2\degree \\\\[/tex]
If cosθ=3/5, find tanθ
Answer and step-by-step explanation:
cos = adj/hyp (in a right triangle)
cos0 = 3/5
adj = 3
hyp = 5
opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)
tan0 = opp/adj = 4/3
Answer:
[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]
Step-by-step explanation:
Cosine is equal to adjacent over hypotenuse.
cos(x)=adjacent/hypotenuseWe are given: cosθ=3/5
Therefore, the adjacent is 3 and the hypotenuse is 5.We want to find tanθ. Tangent is equal to opposite over adjacent.
We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
The hypotenuse (c) is 5.
[tex]a^2+b^2=5^2[/tex]
One leg (a) is 3, the other (b) is unknown.
[tex]3^2+b^2=5^2[/tex]
Evaluate all the exponents.
[tex]9+b^2=25[/tex]
Subtract 9 from both sides of the equation.
[tex]9-9+b^2=25-9[/tex]
[tex]b^2=16[/tex]
Take the square root of both sides.
[tex]\sqrt{b^2} =\sqrt{16}[/tex]
[tex]b=4[/tex]
Now we know the "opposite" is 4. We can find the tangent now.
[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)
[tex]tan( \theta)=4/3[/tex]
The tangent of theta is 4/3
PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.
Answer:
1. 4
2. 20
3. 80
Step-by-step explanation:
4x - 2y = -20
7x + 2y = -2
Answer:
(-2, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 2y = -20
7x + 2y = -2
Step 2: Rewrite systems
4x - 2y = -20
Add 2y to both sides: 4x = 2y - 20Divide 4 on both sides: x = 1/2y - 5Step 3: Redefine systems
x = 1/2y - 5
7x + 2y = -2
Step 4: Solve for y
Substitution
Substitute in x: 7(1/2y - 5) + 2y = =-2Distribute 7: 7/2y - 35 + 2y = -2Combine like terms: 11/2y - 35 = -2Add 35 to both sides: 11/2y = 33Isolate y: y = 6Step 5: Solve for x
Define original equation: 7x + 2y = -2Substitute in y: 7x + 2(6) = -2Multiply: 7x + 12 = -2Subtract 12 on both sides: 7x = -14Divide 7 on both sides: x = -2Step 6: Graph systems
Check the system.
A particle moves along a straight line with the equation of motion s = t^{5} - 2 t^{4} Find the value of t (other than 0 ) at which the acceleration is equal to zero.
Answer:
t = 8/5
Step-by-step explanation:
I'm assuming the equation given is the velocity of the particle
Derive the equation
[tex]5t^4 - 8t^3[/tex]
Set it equal to 0 & solve for t
[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]
The value of time at which acceleration is zero is required.
The required value of [tex]t=1.2\ \text{s}[/tex]
The function of motion is
[tex]s=(t)^5-2t^4[/tex]
Differentiating with time we get velocity
[tex]s'=5t^4-8t^3[/tex]
Again differentiating with time we get acceleration
[tex]s''=20t^3-24t^2[/tex]
Now acceleration [tex]s''=0[/tex]
[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]
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what is the slope of the graph in the picture
pls help it's closing in 40 minutes
pls explain how you got the answer
Answer:
-2
or
-2/1
Explanation:
**Slope = rise/run**
By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit
Answer:
m= -2
Step-by-step explanation:
Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1) or (1,1) and (2,-1)
[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex] [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]
Can anyone answer this simplify question
Answer:
y^3/4x
Step-by-step explanation:
1
x = (5 + 1-271) - 1-41. Solve for x.
x = 307. Hope that helped :)
When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long.
Answer:
Um so then what is the question???
Step-by-step explanation:
Answer:
`She grew 5.75?
Step-by-step explanation:
I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol
Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 4x+2y=5
B) 2x+4y=1
C) y=3-4x
D) y=4x-2
I am having trouble finding this out will anyone help?
Answer: g = 4
Step-by-step explanation:
30 = 26+g
4 = g
2.5 divided by 1.5 round to nearest tenth
Answer:
1.7
Step-by-step explanation:
2.5÷1.5
5/3
1.66666
1.7
The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2.5 divided by 1.5
So, 2.5 / 1.5
= 25 x 10 / 15 x 10
= 25/15
= 5 x 5 / 5 x 3
= 5/3
Hence, the divisions results to 5/3 or 1.6667
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1/3 exponent 4??? pls help immediately
X^3 = 1000 for math please help
Answer:
x=10
Step-by-step explanation:
since there are 3 zeroes in 1,000
x is 10
because 10^3=1000
Answer:
10
Step-by-step explanation:
EAST MATH PLS HELP ASAP PLEASE PLEASE
If one side of a square is represented by x + 7, and the perimeter of the square is
represented by 8x - 20, what is the value of X?
Use the method of lagrange multipliers to find
a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196
Answer:
a) The function is: f(x, y) = x + y.
The constraint is: x*y = 196.
Remember that we must write the constraint as:
g(x, y) = x*y - 196 = 0
Then we have:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x + y + λ*(x*y - 196)
Now, let's compute the partial derivations, those must be zero.
dL/dx = λ*y + 1
dL/dy = λ*x + 1
dL/dλ = (x*y - 196)
Those must be equal to zero, then we have a system of equations:
λ*y + 1 = 0
λ*x + 1 = 0
(x*y - 196) = 0
Let's solve this, in the first equation we can isolate λ to get:
λ = -1/y
Now we can replace this in the second equation and get;
-x/y + 1 = 0
Now let's isolate x.
x = y
Now we can replace this in the last equation, and we will get:
(x*x - 196) = 0
x^2 = 196
x = √196 = 14
then the minimum will be:
x + y = x + x = 14 + 14 = 28.
b) Now we have:
f(x) = x*y
g(x) = x + y - 196
Let's do the same as before:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x*y + λ*(x + y - 196)
Now let's do the derivations:
dL/dx = y + λ
dL/dy = x + λ
dL/dλ = x + y - 196
Now we have the system of equations:
y + λ = 0
x + λ = 0
x + y - 196 = 0
To solve it, we can isolate lambda in the first equation to get:
λ = -y
Now we can replace this in the second equation:
x - y = 0
Now we can isolate x:
x = y
now we can replace that in the last equation
y + y - 196 = 0
2*y - 196 = 0
2*y = 196
y = 196/2 = 98
The maximum will be:
x*y = y*y = 98*98 = 9,604
С
Which inequality is true?
8
9
O 510
0.13
8
5
8 5
072
Answer:
0.72
Step-by-step explanation:
it doesn't exist
6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation
Answer:
(C / n) + 2
Step-by-step explanation:
Amount spent (C) = 42
Number of friends (n) = 6
Coupon on ticket = $2
Original price of ticket will be :
Cost per coupon ticket = (Total amount spent / number of friends)
(Total amount spent / number of friends) + coupon on ticket
= (C / n) + 2
= (42 /6) + 2
= 7 + 2
= 9
Factorise fully the following 2x+8
A student walks from her house to her school. The graph shows her distance, in miles, from the school over the time in minutes, of her walk. What does the x-intercept represent in context?
ANSWER:
distance when starting her walk/ when time is 0
Step-by-step explanation:
y axis will be distance and x intercept is the point where y is 0
so represents when distance is 0.
Answer:
the time it takes to walk from her house to school
Step-by-step explanation:
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month
Answer:
$36.52
you're welcome :)
A fair die is tossed 6 times. Find the probability that
(a) 1 “one”, 2 “twos” and 3 “threes” will turn up,
(b) each side will turn up once.
Answer:
Step-by-step explanation:
hi
Answer:
B
Step-by-step explanation:
How do you know which standardized test statistics you will use? A Z or T?
Answer:
If you're taking the AP Statistics test, you'll need to know the general formula for a standardized test statistic. Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).
Step-by-step explanation:
Answer:
Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).
By visual inspection, determine the best-fitting regression model for the data plot below.
Answer:
Quadratic
Step-by-step explanation:
It looks like it’s forming a very wide arch so quadratic formulas are arches
The equation of the regression line model for the data plot determines a quadratic equation
What is linear regression line?The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.
In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.
A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.
Given data ,
Let the linear regression line be represented as A
Now , the value of A is
Let the first coordinate on the graph be P ( 1 , 5.5 )
Let the second coordinate on the graph be Q ( 2 , 6 )
And , the data plots on the graph represents a curve or parabolic equation
So , it is a quadratic equation
Hence , the data plot of the regression line is quadratic
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Help for mon pls I’ll make you famous
Answer:
1. x>-1
2. x<4
3. x<-1
4. x>-2
5. x<-3
6. x<7
Step-by-step explanation:
1. 2x>-2 Divide both sides by 2.
/2 /2
x>-1
2. 4x<16 Divide both sides by 4.
/4 /4
x<4
3. x+4<3 Subtract both sides by 4.
-4 -4
x<-1
4. 5x>-10 Divide both sides by 5.
/5 /5
x>-2
5. 3x<-9 Divide both sides by 3.
/3 /3
x<-3
6. x-4<3 Add 4 to both sides.
+4 +4
x<7
Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.