Answer:
y = -x + 7
Step-by-step explanation:
y = x + 4 slope: 1
slope of perpendicular line: -1
for (2,5) y interception (b) = y - mx = 5 - (-1)*2 = 7
equation: y = -x + 7
check: -x+7 = -2+7 =5
Round to the nearest hundredth O(5x + 2) = 2(9x - 6) Type your answer...
Answer:
Solving the expression and round to the nearest hundredth
[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]
Step-by-step explanation:
We need to solve the expression and round to the nearest hundredth
[tex]0(5x+2)=2(9x-6)[/tex]
Solving:
[tex]0(5x+2)=2(9x-6)[/tex]
We know that multiplying anything by zero we get zero
[tex]0=2(9x-6)[/tex]
Switching sides
[tex]2(9x-6)=0[/tex]
Multiplying 2 with terms inside the bracket
[tex]18x-12=0[/tex]
Adding 12 on both sides
[tex]18x-12+12=0+12\\18x=12[/tex]
Divide both sides by 18
[tex]\frac{18x}{18}=\frac{12}{18}\\x=0.666[/tex]
Rounding to nearest hundredth we get:
[tex]x=0.67[/tex]
So, solving the expression and round to the nearest hundredth
[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?
Answer:
[tex]S_g= 33.333cm[/tex]
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
[tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]
Mathematically solving for total distance traveled we have
[tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]
[tex]S_g=\frac{30}{0.9}[/tex]
Therefore the total distance traveled by the pendulum after 5 swings
[tex]S_g= 33.333cm[/tex]
Mr. Demers is making a drink by adding flavor drops to his water. If he puts 3 drops in a 12 ounce glass of water, how many ounces does he use PER DROP?
Answer:
Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop
=======================================================
Explanation:
"Per drop" means "per 1 drop" or "for each 1 drop".
We start off with the ratio of
3 drops: 12 ounces
Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"
Doing so gets us the new ratio of
1 drop: 4 ounces
So he uses 4 ounces per drop.
Which of the following is equivalent to the image below
A: 6
B: 8
C: 12
D: 64
Answer: The answer is 8
Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.
plz answer only if correct!!
what is 8 x 23
+ 6
3 + 2
Answer:
8x23 +6+3+2 = 195
Step-by-step explanation:
used PEMDAS <3 hope this helps
James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip
Answer: 60 mph
Step-by-step explanation:
Question wants the speed to the lake.
It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.
It took him 6 hours to come back.
Assuming the speed James used on the return trip is x:
Expression for distance is:
4(x + 20) = 6x
4x + 80 = 6x
2x = 80
x = 80/2
x = 40 mph
Speed to the lake = 40 + 20
= 60 mph
A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.
Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.
Answer:
Area of the shaded portion = 54.5 cm²
Step-by-step explanation:
Solve first for the area of the circle:
[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]
Then, compute for the area of the triangle:
[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]
Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle
[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]
(2x10^5) divided by (4x10^2)
Answer:
[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]
Step-by-step explanation:
[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]
Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.
Answer:
20% x 5= 100%
35 x 5= 175
she has a total of 175 cupcakes
Which of the following tables represents a function?
Answer:
The third table
Step-by-step explanation:
It's the third table because each input does not repeat, so it means all of the inputs are unique
Repeating inputs (x) make it not a function
As their is no mention of test assuming it's not a test question
Solution
Now
As per definition of function
Every domain has an unique rangef(x)=yThing we have to see here is x values must not repeated more than once
In table 3
It follows the definationTable 3 is a function
solve each inequality and graph the solution .
2x-8<4
Answer:
inequality is x < 6
Step-by-step explanation:
Evaluate each expression
1-(-8)
a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain
Answer:
It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.
Step-by-step explanation:
The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle. A. 88 ft B. 117 ft C. 168 ft D. 176 ft
Answer:
Length = 36
Width = 52
Step-by-step explanation:
Area of rectangle = Length * width
Length = L ; Width = W
Area (A) = 1872 ft²
Ratio L:W = 9:13
Hence,
1872 = lw - - - (1)
l/w = 9/13 - - - (2)
From (2)
13l = 9w
l = (9/13)w - - (3)
Put (3) into (1)
1872 = (9/13)w * w
1872 = 9/13 w²
24336 = 9w²
24336 / 9 = w²
2704 = w²
w = 52
If w = 52
1872 = 52 * l
l = 1872 / 52
l = 36
Length = 36
Width = 52
Can anyone help solve this?
Answer: m∠XYQ = 122°
Step-by-step explanation:
m∠XYQ + m∠QYZ = 180°
(10a + 2) + (5a - 2) = 180
15a = 180
a = 12
m∠XYQ = 10a + 2
m∠XYQ = 10 (12) + 2 = 122
m∠XYQ = 122°
4n - 3 = -2n + 9 when n = 2
Answer:
Step-by-step explanation:
4n-3=-2n+9, we move the variables in one side and numbers on the other side
4n+2n=9+3
6n=12
divide by 2
n=2
Jacob paid $89.59 for a portable e-book reader plus 9% tax. What is the cost of the
e-book reader including tax?
Answer:
$97.65
Step-by-step explanation:
$89.59 + $8.06 = $97.65
HELp please!!!!!!!!!!!!!!!!!!!!!!11
Answer:
it’s 15x+30y-220
Step-by-step explanation:
Because you distribute and then you add the like terms
Max is building a treehouse. He has a piece of wood that is 6 ft long. How many 1/3 ft pieces of wood can you cut
Answer:
18 pieces
Step-by-step explanation:
Max is building a treehouse. He has a piece of wood that is 6 ft long. How many 1/3 ft pieces of wood can you cut?
From the above question, we can deduce that:
1 piece of wood = 1/3ft
Hence:
1/3 = 1 piece of wood
6 ft = x
Cross Multiply
1/3ft × x = 6 ft × 1
x = 6 / 1/3
x = 6 × 3
x = 18 pieces
Hence, you can cut 18 (1/3 ft )pieces of wood .
Please help please please help me please please
Answer:
8.88
Step-by-step explanation:
With reference angle 42°
hypotenuse (h) = 12
base (b) = x
Now
cos 42° = b / h
0.74 = x / 12
x = 0.74 * 12
x = 8.88
Answer:
the answer is 48 I think
Step-by-step explanation:
I did it by sub 90 and 42
I need the equation that passes through the point
Answer:
y=4/3x+0
Step-by-step explanation:
slope intercept form works right?
y=mx+b
the m is the slope, and the problem gives us the slope. (4/3)
the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b
HTH!!
Andre types 208 words in 4 minutes. Noah typed 342 words in 6 minutes
A) Who typed faster
B) How many words can andre type in 10 minutes
C)Would you find the unit rate of words per minute or the unit rate of minutes per word to
figure out how long it would take Noah to write 1710 words? Why? (You do not need to
solve, just choose and explain why).
Answer:
Noah types faster because he can type more words per minute.
Step-by-step explanation:
For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.
Add. Express your answer in simplest form. 225+445 = $$
what is the ordered pair to y=7x-2
PLS PLS HELP ME I WILL GIVE BRAINLIST AND SO MANY POINTS PLS HELP ME
Answer:
Both are circle equations. One is for area, one is for circumference.
Step-by-step explanation:
Both are circle equations. One is for area, one is for circumference.
Which number is equivalent to?
MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)
Answer:
b
Step-by-step explanation:
the first graph: use the points (0,1) and (4,2) to get a slope of 1/4
function b's slope is 3/4, clearly greater. so B
A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?
Answer:
r=d/t
r=360 cm / 9 sec= 40 cm per second
Hope that helps :)
Answer:
40 centimeters per second.
Step-by-step explanation:
360 divided by 9= 40
ChIcKeN nUgGeTs :>
Identify the constant of proportionality from the table.
Answer:
A. 9
Step-by-step explanation:
A P E X
