Answer:
x = 15/2
Step-by-step explanation:
-4x + 4 + 6x = 34 - 2x
2x + 2x = 34 - 4
4x = 30
x = 30/4
x = 15/2
Harry drives a lot as a part of his job, and he notes that an upcoming trip is from the office to a meeting location that is 2 inches away on a map. The map uses a scale of 1 inch = 34 miles. What is the actual distance between the office and the meeting location?
Answer: The actual distance is 68 miles.
Step-by-step explanation:
Classify this number as rational, irrational, or nether: 6
Answer:
The answer is : Rational
Using diagonals from a common vertex, how many triangles could be formed from a hexagon?
How do you solve this
Answer:
x = 8
Step-by-step explanation:
1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]Step 2: Subtract 12 from both sides.
[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]Step 3: Divide both sides by 21.
[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]Step 4: Check if solution is correct.
[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]Therefore, x = 8.
What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form?
So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.
Slope of perpendicular lines is the opposite sign and the reciprocal of the other.
So if your slope was 2 the perpendicular line would have a slope of -1/2.
So the equation, 2x + y = 3
Can be rewritten as
y= -2x+3
Perpendicular slope: 1/2
Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.
y=mx+b
4=1/2(5)+b
Solve for b (y intercept)
4-2.5=b
1.5=b
So the equation of the perpendicular is
y=1/2x+3/2 or y=.5x+1.5
x over 32 = 3 over 16
Answer:
7/32 = 3/16
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
We simplify the equation to the form, which is simple to understand
x/32=3/16
Simplifying:
+ 0.03125x=3/16
Simplifying:
+ 0.03125x=0.1875
We move all terms containing x to the left and all other terms to the right.
+ 0.03125x=0.1875
We simplify left and right side of the equation.
+ 0.03125x=0.1875
We divide both sides of the equation by 0.03125 to get x
-
7.5 ft
Find the perimeter of the semicircular region
The GCF of two numbers is 3 and the LCM is 180. If the one of the number is 45, what is the other number?
Answer:
45
Step-by-step explanation:
45 = 3*3*5
180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4
also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?
check: lcf of 12 and 45 is 3,
the lcm of 12 and 45 is ...
12 = 2*2*3
45 = 3*3*5
so we need: 2*2*3*3*5 = 180
Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope of line t using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )
m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line u is - [tex]\frac{9}{4}[/tex]
plz tell the solution for this Q
Answer:
rational
Step-by-step explanation:
a is the answer
not sure how to do these. i need help with 13! needing it to be reduced just like y should be 8
Answer:
I'm not sure 710
Step-by-step explanation:
I'm not sure
Answer:
#14
y=5
x=14
Step-by-step explanation:
I did 14 for you
the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.
Sixty tickets at $90 each cost
Cost of 1 ticket = $ 90
Cost of 60 tickets = ?
Cost of 60 tickets = 90 × 60 = $ 5400.
Answer:
5,400
Step-by-step explanation:
well, if they're sixty tickets and each cost approx. $90, which means it's 60 x 90, and that gets to 5,400.
Are the triangles congruent?
-yes by SSS
-yes by SAS
-yes by ASA
-yes by AAS
-yes by HL
Answer:
yes by SAS
it is Side angle Side
For brainily please help
Answer:
The largest side is ST
Step-by-step explanation:
It's the largest side because it is opposite to the largest angle
The length of a rectangular garden is 5 less than triple
its width. If the perimeter of the garden is 70 feet,
find the dimensions of the garden algebraically.
Answer:
Width = 10 feet, Length = 25 feet
Step-by-step explanation:
the width is x
the length is 3x-5
so, 2(x+(3x-5))=70 is the equation
2(x+3x-5)=70
2x+6x-10=70
8x-10=70
8x=10
x=10.
Width = 10 feet
Length = 25 feet
90 entre (7 + 3) x 2
what is the sign of a • (-b/b) when a = 0 and b < 0?
Answer:
gimmie my points boi
Step-by-step explanation:
eiurfh4iewurhfwo8rho
Find the area of this triangle.
Answer:
84 cm²
Step-by-step explanation:
Area triangle = 1/2(b x h)
Area = 1/2(21 x 8)
Area = 1/2(168)
Area = 84
84 cm²
-Chetan K
The corporate team-building event will cost $72 if it has 36 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $92?
i need the answer to the bottom question please help !!!!!!!!!!!!!!
Answer:
y = 9/17 x - 28/17
Step-by-step explanation:
HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be
A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm
Answer:
15.4 is right ans
Step-by-step explanation:
using this formula θ ×(22÷7÷180)×r
An apple orchard charges a $5 admission fee and $3 for each basket of apples you take home. Write an equation to represent the total cost if your trip to the apple orchard
Answer:
y = 3x + 5
Step-by-step explanation:
y = total cost
x = basket of apples
5 = admission fee
y = cost per basket + admission fee
y = 3x + 5
A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?
Answer:
y = -2/3x + 6
Step-by-step explanation:
replace the coordinates in the equation
y= mx + c
y= 8
x= -3
8= -2/3 (-3) + c
c + 2 = 8
c = 8 - 2
c = 6
y= -2/3x + 6
the last digit in a measurement is _______ and is considered _______.
Step-by-step explanation:
Indicating Precision of Measurements:
Scientists understand that the last digit (and only the last digit) in a measurement is an estimate. By writing 25.45 cm, you indicate that you are sure that the measurement was between 25.4 cm and 25.5 cm, and you estimate that it was about 5/10 of the way between them.Aug 18, 2005
Hank's pickup can travel 54 miles on 3 gallons of gas. How many gallons will Hank's pickup need to travel 36 miles?
Answer:
2 gallons
Step-by-step explanation:
1) a supermarket sells articles during the festival seasons with a 10% discount. find the new price of the following articles.
i) A CFL bulb if the marked price is Rs. 280
ii) A bunion if the marked price is Rs. 650.
iii) A gas cooker if the marked price is Rs. 7500
Answer:
252, 585, 6750
Step-by-step explanation:
We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.
i) A CFL bulb if the marked price is Rs. 280
10 % of 280 is 280/10 = 28
discounted price is 280 -28 = 252
ii) A bunion if the marked price is Rs. 650.
10 % of 650 is 650/10 = 65
discounted price is 650 -65 = 585
iii) A gas cooker if the marked price is Rs. 7500
10 % of 7500 is 7500/10 = 750
discounted price is 7500 -750 = 6750
Given that BD ~ BC, find m
A. 54
B. 57
C. 64
D. 66
Answer:
b
Step-by-step explanation:
Answer:
B) 57
Step-by-step explanation:
since BD ≅ BC then ∡C = ∡D
6x-9 = 3x + 24
subtract 3x from each side to get:
3x-9 = 24
add 9 to each side to get:
3x = 33
divide each side by 3 to get:
x = 11
substitute 11 into 'x' in 3x + 24 to get:
3(11) + 24 = 33+24 = 57
check:
substitute 11 into 'x' in 6x - 9 to get:
6(11) - 9 = 66 - 9 = 57
9. Ramon buys five 3- pound bags of natural parrot food for $8.79 per bag. How much money did he
spend?
$43.95
Step-by-step explanation:
If each bag costs 8.79 and Ramon bought 5 bags then you would multiply 5×8.79
Answer:
$26.37
Step-by-step explanation:
Ramon bought 3-pound bags of natural parrot food for $8.79 per bag. how much money did he spend?
If Ramon bought 3-pound bags of natural parrot food each is $8.70 per bag
It's time to add!!
8.79 + 8.79 + 8.79= ANSWER: $26.37
In Stacking! :)
8.79
+8.79
8.79
______
26.37
HOPE THIS HELPS YOU! :)
9. Aaron has a lemonade business. If he sells each glass of lemonade for $2.75, and he sold 11
glasses of lemonade today, how much money did Aaron make?
Help me please this is due answer the question please
Answer:
$27.75
Step-by-step explanation:
Multiply $2.25 by 11 to get the answer
Step-by-step explanation:
He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-
11 x 2.75 = 30.25
Which means he made $30.25
What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?
Step-by-step explanation:
maybe this is not the full expression, as you wrote the line equation in a funny way.
I understand the following :
the line is
y = (-2/5)×x - 7
perpendicular means crossing at a right angle (90 degrees).
the slope of the original line is -2/5.
as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.
so, it is 5/2.
the equation for the perpendicular line looks like
y = (5/2)×x + b
now what is b ?
for this we use the specified point on the line : (4, -1)
and we put these values as x and y into the equation :
-1 = (5/2)×4 + b = 5×2 + b = 10 + b
b = -11
and so, the full equation of the perpendicular line is
y = (5/2)×x - 11