Answer:
The new blueprint's width will be 7 inches.
Explaination:
Find the width of the actual roomCreate a proportion: 2in:7ft
Divide 12 by 2 and multiply by 7 to find the real width: 6•7=42
Find new widthDivide actual width by 6 and multiply by 1 to find the new scale: (42/6) •1 = 7
(write and solve an algebraic equation to find the measure of each angle based on the given description.)
***11. Two angles form a linear pair. The measure of one angle is 24° more than the
measure of the other angle.
Answer:
The angles are 78° and 102°.
Step-by-step explanation:
Let the one angle is y and the other number if y + 24.
The sum of the angles of the linear pair is 180°.
So, according to the question
y + y + 24 = 180
2 y = 180 - 24
2 y = 156
y = 78°
So, one angle is 78° and the other is 78° + 24° = 102°.
The width of an extra large rectangular poster is 8 inches more than half its length. The area of this poster is 306 square inches. Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.
SOMEONE HELO PLEASE 30 points
Answer: [tex]x^2+16x-612=0[/tex]
Step-by-step explanation:
Let x be the length of the poster.
As per given , width = [tex]\dfrac{x}{2}+8[/tex]
Area = Length x width
i.e.
[tex]306=(\dfrac{x}{2}+8)\times x\\\\\Rightarrow 306=(\dfrac{x+16}{2})\times x\\\\\Rightarrow 306\times2=x^2+16x\\\\\Rightarrow\ x^2+16x-612=0\\\\\Rightarrow\ x=18, x=-34[/tex].
Required equation: [tex]x^2+16x-612=0[/tex]
can someone pls help for brainlest
Answer:
6.28km
Step-by-step explanation:
Hey,
We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.
Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.
2(π)(1km)=2kmπ.
The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.
6.28km is the answer!
Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x
someone help por favor
Answer:
2x+6>20
2x>20-6
2x/2>14/2
x>7
So your answer would be B
What is the x-value of the vertex?
f (x) = (x + 2)^2 - 1
x-value of the vertex:
Rewrite the equation in expanded form:
(X+2)^2 -1 = x^2 + 4x + 3
The parabola parameters are : a = 1, b = 4, c = 3
The x vertex is -b/2a = -4/2(1) = -2
Replace x with -2 in the expanded equation to solve for the y vertex:
Y = -1
The vertex is (-2,-1)
x-value of the vertex:-2
Answer:
Solution given:
we have
f(x)=(x+2)²-1
y=x²+4x+3......(I)
parameters of parabola are:
a=1
b=4
c=3
we have
vertex=-b/2a=-4/(2*1)=-2
substitute value of x in equation 1.
y=4-8+3= -1
So
vertex(-2,1)
There is a relationship between the total cost of renting a costume and the number of hours the costume is rented.
For 2 hours, the total cost is $50
For 5 hours, the total cost is $80
What type of variation is this relationship [ Direct or Partial] and what is the initial value?
Answer:
this means that for just an hour or 2 you're going to pay $25/hour which would be the initial value...but if you keep it for 5 hours you only pay $16/hour...the more you buy the less you pay per thing you're buying. ...this is a partial relationship, because there is an initial value greater than 0, and has a constant rate of change. a direct relationship would be when one variable did affects the other, meaning when one changes, so does the other ....it would mean the price got cheaper by a certain amount with every hour added ...in this example, the price doesn't get cheaper until hour 5, meaning the initial value is affected by the variable of hours rented...but is not a constant change, it is a partial change because it only changes under certain circumstances, (5 hours) rather than changing constantly with each passing hour....
HELP PLEASE THIS IS DUE TODAY!
Answer:
13.76
Step-by-step explanation:
Find the area of the entire square (8 x 8 = 64)
Find the area of the circle (3.14 x 4^2 = 50.24)
Subtract the two (64 - 50.24 = 13.76)
Write an equation for the line that contains (-15, -8) and is parallel to the
graph -3x + 5y = -8
Answer:
y=3/5x+1
Step-by-step explanation:
Hi there!
We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)
parallel lines have the same slopes, but different y intercepts.
So let's first find the slope of -3x+5y=-8
We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
add 3x to both sides
5y=3x-8
divide by 5 on both sides
y=3/5x-8/5
3/5 is in the place of where m is, so that means that 3/5 is the slope of the line
we can write the equation of the new line in slope-intercept form.
Here it is so far:
y=3/5x+b
we need to find b
Because the line will pass through the point (-15,-8), we can use it to solve for b
substitute -15 as x and -8 as y
-8=3/5(-15)+b
multiply
-8=-9+b
add 9 to both sides
1=b
substitute 1 as b into the equation
y=3/5x+1
There's the equation of the line :)
Hope this helps!
Help down below, I know the answers but I just wanna see if I got them correct
Answer:
Standard form: 62,080,126
Word form: Sixty-two million, eighty thousand, one hundred twenty-six
Expanded form: 60,000,000 + 2,000,000 + 80,000 + 100 + 20 + 6
Which is the correct slope-intercept equation for a line that passes through the points (1,-3) and (-3,17)
Answer:
[tex]y=-5x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (1,-3) and (-3,17)
[tex]=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5[/tex]
Therefore the slope of the line is -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-5x+b[/tex]
Plug in one of the given points and solve for b
[tex]-3=-5(1)+b\\-3=-5+b[/tex]
Add 5 to both sides of the equation to isolate b
[tex]-3+5=-5+b+5\\2=b[/tex]
Therefore, the y-intercept of the equation is 2. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+2[/tex]
I hope this helps!
find the height x of the tree
Answer:
19.8 m
Step-by-step explanation:
To find the height of the tree, we can use the trig ratio tangent:
θ = angle, h = height
tan θ [tex]= \frac{opposite}{adjacent}[/tex]
tan 33° = h / 30.5
h = (tan 33°)(30.5)
h = (0.6494)(30.5)
h = 19.8 m
hey what the answer
all the formulas of exponents
Answer:
I hope the above picture help you mate
have a great day
I did it in white board so that I can explain better.i hope you understand if u have any problem in understanding be sure to reach out
#liliflim
Answer:
see below
Step-by-step explanation:
all formulas of exponent given by:
[tex] \displaystyle {x}^{1} = x \stackrel{ \rm example}{ \iff} 2^{1} = 2[/tex]
[tex] \displaystyle{x}^{0} = 1\stackrel{ \rm example}{ \iff} 2^{0} = 1[/tex]
[tex] \rm \displaystyle {x}^{m} \cdot { x }^{n} = {x}^{m + n} \stackrel{ \rm example}{ \iff} x^{1 } \cdot {x}^{2} = x^{1 + 2 } = {x}^{3} [/tex]
[tex] \displaystyle \sqrt[n]{{x} }= x^{1/n} \stackrel{ \rm example}{ \iff} \sqrt[3]{x} = x^{1/3}[/tex]
[tex] \rm \displaystyle \frac{{x}^{m} }{ { x }^{n}} = {x}^{m - n} \stackrel{ \rm example}{ \iff} \frac{x^{3} }{ {x}^{1} } = x^{3 - 1} = {x}^{2} [/tex]
[tex] \rm \displaystyle ({x}^{m} {)}^{n} = {x}^{m n} \stackrel{ \rm example}{ \iff} (x^{1 } {)}^{2} = x^{ 2 } [/tex]
[tex] \rm \displaystyle ({x}^{m} {y}^{m} {)}^{n} = {x}^{m n} {y}^{mn} \stackrel{ \rm example}{ \iff} (x^{1 } { {y}^{1} )}^{2} = x^{ 2 } {y}^{2} [/tex]
[tex] \rm \displaystyle \left(\frac{{x}^{} }{ { y }^{}} \right) ^{m} = \frac{{x}^{m} }{ { y }^{n} } ^{} \stackrel{ \rm example}{ \iff} = \left(\frac{ {x}^{2} }{ {y}^{2} } \right)^{2} = \frac{ {x}^{4} }{ {y}^{4} }[/tex]
[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } \stackrel{ \rm example}{ \iff} x^{ - 2} = \frac{1}{ {x}^{2} } [/tex]
Determine the number of solutions for the equation shown below.
X = X-9
A. 1
B. 2
C. 0
D. Infinitely many
Answer:
The equation has 0 solutions (answer C).
Step-by-step explanation:
Starting with x = x - 9, we subtract x from both sides. This leaves us with:
0 = -9,
which is never true.
The equation has 0 solutions (answer C).
Write as a positive exponent.
7^-10
Answer:
1/7^10
Step-by-step explanation:
7^-10
=1/7^10
A bonsai tree is a miniature tree similar to a normal-size tree of the same species. The leaf on the normal-size tree is 5 inches long. On the bonsai, the length of the leaf is 0.2 inch. If the bonsai is 16 inches tall, how tall is a normal-size tree?
Answer:
6'12 inches long might be the answer
Step-by-step explanation:
D
А
с
B
ABC measures 115º and Z DBC measures
70°. What is the measurement of ZABD?
Answer:
45 = ABD
Step-by-step explanation:
ABC = ABD + DBC
115 = ABD + 70
Subtract 70 from each side
115 - 70 = ABD
45 = ABD
Which expression is equivalent to the following complex fraction?
3/x-1 -4 /2 -2/x-1
2(x-2)
-4x+7
-4x+7
2(x-2)
-4x+7
2(x2 - 2)
26x2 - 2)
-4x+7
Answer:
[tex] \frac{3}{x - 1} - \frac{4}{2 } - \frac{2}{x - 1} \\ = \frac{(3 - 2)}{x - 1} - 2 \\ = \frac{1}{x - 1} - 2 \\ = \frac{1 - 2x + 2}{x - 1} \\ = \frac{3 - 2x}{x - 1} [/tex]
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answer:
4X+5
Step-by-step explanation:
Dan : X
Harry: X+5
Regan: 2X
X+X+5+2X
Answer:
[tex]Mean = \frac{4x + 5}{3}[/tex]
Step-by-step explanation:
Given:
Dan sold = x
Harry sold 5 more than Dan, that is = x + 5
Regan sold twice as Dan = 2x
[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]
N which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
Answer:
53,901
Step-by-step explanation:
Here is the complete question :
In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
43,567
45,248
53,901
562,011
In the number 245,093 :
3 = units
9 = tens
0 = hundred
5 = thousand
4 = ten thousand
2 = hundred thousand
the value of 5 in the number is 5000. the number that would have a value that it 10 times greater than 5 in 245,093 must occupy the value of ten thousand.
looking through the options, it is only in 53,901 that 5 occupies a value of ten thousand
Please help asap on 1, 2 & 3!! I will mark you as brainliest!!
Answer:
18. C
19.A
20. C
Step-by-step explanation:
18.
x< 15 where x is the average that each person contributes.
This gives 3x <45, limiting the gift basket's total cost to < $45. (Actually ≤ 14.99 per person, so max cost is $44.97.
19. simple algebra
a <= -4 + 7
a <= 3
20.
since u divide and the co efficient is negative u flip the sign
-3m<15
m>-5
anyone help with this math question please dont geuss
Answer:
For each ticket sold they earned 3 dollars
Step-by-step explanation:
A pen cost half as much as a ruler. Write an expression to describe how much the pen cost, using r as the cost of the ruler.
Answer:
r=2p
Step-by-step explanation:
If r is ruler and p is pen, ruler equals pen times 2, so its r=2p
help me please question is in the picture!!!!
Answer:
AB
Step-by-step explanation:
Definition of a chord
Karla scored 75, 80, and 92 on her history quizzes. What is the minimum score she needs on her next quiz to have a mean of 85?
Answer:
she needs at least a 93 on her next quiz
Step-by-step explanation:
hope this helps mate
For the function g(x)= -2/3x+5, determine x when g(x) = 25
Answer:
x = -30
Step-by-step explanation:
g(x)= -2/3x+5
Let g(x) = 25
25= -2/3x+5
Subtract 5 from each side
25-5= -2/3x+5-5
20 = -2/3x
Multiply each side by -3/2
-3/2 * 20 = -3/2 * -2/3 x
-30 = x
Answer:
x = -30
Step-by-step explanation:
g(x)= -2/3x+5
25 = -2/3x + 5
20 = -2/3x
x = -30
plz help me with this
Answer:
27.7
Step-by-step explanation:
Pythagorean Theorem
[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex] (10.7 comes from half of the 21.4 side)
[tex]x^{2}[/tex] = height
Which object is the result of rotating the triangle about line m?
A jar of M&M’s : 24 brown , 13 orange, 15 red , 10 green , 15 yellow , and 10 blue. Jim is blindfolded and will draw a single M&M out of the jar, What is the probability that it will be a brown one ?
Answer: 24/87 or 8/29
Step-by-step explanation:
24+13+15+10+15+10=87, the total amount of M&M's.
24 are brown, so 24/87 chance that he will draw a brown one.
24/87 = 8/29 simplified.
Roman runs 3 miles every morning. His mean time is 24.7 minutes and his standard deviation is 3.2 minutes. Which of the times is the least likely for Ramon to get?
Answer:
His time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.
Step-by-step explanation:
With an standard deviation of 3.2 minutes, it is clear that the maximum time taken by Roman to complete his run of 3 miles would be
Average time + standard deviation = 24.7 minutes + 3.2 minutes = 27.9 minutes
The minimum time taken by Roman to complete his run of 3 miles would be
Average time - standard deviation = 24.7 minutes - 3.2 minutes = 21.5 minutes
Hence, his time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.
In a triangle HIJ, i = 6.6 inches, j = 6.4 inches and Angle,H=62º. Find the length of h, to the
nearest 10th of an inch.
Answer:
7.6 inches
Step-by-step explanation:
We solve the above question using the Law of Cosines.
The formula is given as:
h² = i² + j² - 2ij Cos H
h = √i² + j² - 2ij Cos H
From the above question:
i = 6.6 inches
j = 6.4 inches
Length h = ?
Angle H=62º.
Hence:
h= √6.6² + 6.4² - 2 × 6.6 × 64 × Cos 62
h = √43.56 + 40.96 - 84.48 × Cos 62
h = 7.64292 inches
Approximately to the nearest tenth, Length h = 7.6 inches
Answer:
6.7
Step-by-step explanation:
square root and round
