The Reeds are moving across the country. Mr. Reed leaves 5 hours before Mrs. Reed. If he averages 40mph and she averages 50mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?
Answer:
It will take 20 hours for Mrs. Reed to catch up with Mr. Reed
Step-by-step explanation:
Given that:
Mr. Reed leaves 5 hours early.
Speed of Mr. Reed = 40 mph
Distance covered in 5 hours = 40 * 5 = 200 miles
Let,
h be the number of hours and D be the total distance.
D = 40h + 200
Speed of Mrs. Reed = 50 mph
D = 50h
For catching up, both distances will be same
D = D
50h = 40h + 200
50h - 40h = 200
10h = 200
Dividing both sides by 10
[tex]\frac{10h}{10}=\frac{200}{10}\\h=20[/tex]
Therefore,
It will take 20 hours for Mrs. Reed to catch up with Mr. Reed
The circle shown is centered at the origin and contains the point (-4, -2). What is the length of the diameter of the circle? Round your answer to the nearest hundredth
Step-by-step explanation:
Equation for circle centered at origin:
x² + y² = r².
Therefore r² = (-4)² + (-2)² = 20, r = √20.
Hence d = 2r = 2√20 = 8.94 (2d.p.)
Chris has just sold a home valued at $85,000. Her
normal commission for the homes that she sells
is 8%. Determine the amount that Chris will make
on the sale of the $85,000 home.
Answer:
Amount of Chris' commission = $6800
Step-by-step explanation:
Given that:
Value of the house sold by Chris = $85,000
Percent of Chris' commission = 8%
Amount of Chris' commission = 8% of 85000
Amount of commission = [tex]\frac{8}{100}*85000[/tex]
Commission = 0.08 * 85000
Commission = $6800
Hence,
Amount of Chris' commission = $6800
Help me PLease and no incorrect answers only answer if your sure, Show your work for each one please. And take your time.
Answer:
21) 4
because -13-(-17) when 2 negatives are next to each other they cancel out and turn into positives the just -13+17
And 22 is 33 because the 2 negatives cancel out and turn into positives so 23+9
I am sorry but the rest I can't solve
Step-by-step explanation:
Marcos reads 3, books in 1 3/4 weeks.
At this rate, how many books does Marcos read in1 week?
Enter your answer in the box.
Answer:
[tex]x = \frac{12}{7}\ books[/tex]
Step-by-step explanation:
Given
[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]
Required
Number of books in 1 week
Represent the number of books in 1 week with x.
So, we have:
[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]
[tex]x = 1\ week[/tex]
Cross Multiply
[tex]x * 1\frac{3}{4} = 3 * 1[/tex]
[tex]x * 1\frac{3}{4} = 3[/tex]
Convert fraction to improper fraction
[tex]x * \frac{7}{4} = 3[/tex]
Multiply through by [tex]\frac{4}{7}[/tex]
[tex]x * \frac{7}{4}*\frac{4}{7} = 3 * \frac{4}{7}[/tex]
[tex]x = 3 * \frac{4}{7}[/tex]
[tex]x = \frac{12}{7}\ books[/tex]
Hence: 12/7 books were read in a week
Explain what operation should be used to solve the equation 3.5n = 10.5. What is the value of n
Answer:
n = 3Step-by-step explanation:
Given equation
3.5n = 10.5To solve this for n divide both sides by 3.5:
3.5n / 3.5 = 10.5 / 3.5n = 3Find the correct equivalent fractions using multiplication
Answer:
[tex] \dfrac{25}{45} [/tex]
Step-by-step explanation:
[tex] \dfrac{5}{9} \times \dfrac{5}{5} = \dfrac{5 \times 5}{9 \times 5} = \dfrac{25}{45} [/tex]
Which of the following expressions is equivalent to (8x)2/3 ?
a
4 cubic root of x^2
b
Cubic root of 8x^2
c
4x^2/3
d
(8^2/3) (x^2/3)
Answer: C. 4x^2/3 is ur answer
Please hurry it’s missing
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
22/7
Decimal Form:
3.142857 (terminating decimal)
Mixed Number Form:
3/1/7
A sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct?
Answer:
Step-by-step explanation:
sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct
Brand A:
$2.50 for 2
Brand B :
$3.90 for 3
Brand C:
$5.12 for 4
We calculate the unit price :
Brand A:
$2.50 / 2 = $1.25
Brand B:
$3.90 / 3 = $1.30
Brand C:
$5.12 / 4 = $1.2
Write an equation in point-slope form of the line that passes through (1,0) and (4,4).
y- __= __(x - 1)
NEED HELP ASAP! WILL MARK BRAINLIEST TO THE RIGHT ANSWER!! Line A passes through the points (-3,-4) and (-6,-5). Write the equation of the image of A after a dilation with a scale factor of 2, centered at the origin. Write your answer in slope-intercept form.
y=
Answer:
[tex]\displaystyle y=\frac{1}{3}x-6[/tex]
Step-by-step explanation:
Dilation of a Line
Given a line that passes through points A(-3,-4) and B(-6,-5). We'll apply a dilation with a scale factor of 2 centered at the origin by multiplying each coordinate by 2. The points map to:
A'(-6,-8) and B'(-12,-10)
Now we find the equation of the line passing through A' and B'.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substituting:
[tex]\displaystyle y+8=\frac{-10+8}{-12+6}(x+6)[/tex]
[tex]\displaystyle y+8=\frac{-2}{-6}(x+6)[/tex]
[tex]\displaystyle y+8=\frac{1}{3}(x+6)[/tex]
Operating:
[tex]\displaystyle y=\frac{1}{3}x+\frac{1}{3}*6-8[/tex]
[tex]\displaystyle y=\frac{1}{3}x+2-8[/tex]
[tex]\boxed{\displaystyle y=\frac{1}{3}x-6}[/tex]
Find the output, y, when the input, x , is 7.
y=
Answer:
-6
Step-by-step explanation:
I got it right :)
The polygons are similar, but not necessarily drawn to scale. Find the value of X. Please help it’d mean a ton
Answer:
x=7 I think
Step-by-step explanation:
Good luck
Hope this helps
Sam and Martha had a total bill (Including tax) of $29 32 at The Spaghetti House restaurant They also purchaued 2 shirts for $19.98 each (not including tax) from a nearby clothing store, Part A They wished to leave a tip of 18%at The Spaghetti House How much total money did they spend at the restaurant? (Round to the nearest cent) Part B: If sales tax is6%, how much did they spend on their two shirts at the clothing store(Round to the nearest cent)
Answer:
Part A: $34.60
Part B: $42.36
card store A sells 16 cards for 96$. What is the cost in dollars per card?
Answer:
16=96
1=?(x)
16x=96×1
x=96/16
x=$6...............
what expression is equivalent to 23/24
Answer:
23/24 0.9583 95.83%
Step-by-step explanation:
What is 4 divided by 6 plus 1 divided by 8?
Answer:
Step-by-step explanation:
0.2
2. Make P the subject of the formula y = a + p/a-p A. 2a - y/a + y B. ay-1/y+1 C. a(y-1)/y+1 D. 2y-1/y-1
Answer:
a(y-1)/1+y
Step-by-step explanation:
Given the expression y = a + p/a-p
yo are to make P the subject of the formula:
Step 1: Cross multiply
y = a + p/a-p
y(a-p) = a+p
Step 2: open the bracket
ya - yp = a+ p
Step 3: Collect the like terms
ya - a = p+ yp
ya - a= p(1+y)
a(y-1) = p(1+y)
Step 4: Divide both sides by 1+y
a(y-1)/1+y = p(1+y)/1+y
a(y-1)/1+y = p
p =a(y-1)/1+y
Hence the required solution is p = a(y-1)/1+y
HELP ASAP I HAVE ONLY A COUPLE MINUTES!!!!!
Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.
Age Difference
Adela: 0.75 year
Tony: 11
10
years
Pang: –0.8 year
Ruben: -1
2
year
Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang
Answer:
I think it would be the second one or last one
Answer:
Pang, Ruben, Adela, and Tony is the correct answer
Step-by-step explanation:
You're welcome~
Please help me identify the range!
And please provide steps on how to get the right answer.
9514 1404 393
Answer:
C. -1 ≤ y ≤ 1
Step-by-step explanation:
The range is the vertical extent of the graph.
Here, the graph goes back and forth between y = -1 and y = +1, so the range is the interval -1 to +1, with those values included. Written as an inequality, it is ...
-1 ≤ y ≤ 1
Written in interval notation, it is ...
[-1, 1] . . . . using square brackets to indicate the end values are included
__
Curly brackets { } are used to delimit a set. That is {-1, 1} means the y-values consist only of -1 or 1 and nothing else. Obviously, that is not the case here.
_____
So, the steps are ...
1) understand the vocabulary, so you know what the question is asking
2) be able to read a graph and identify high points and low points
3) recognize the various ways the answer can be written
4) locate one of those answer possibilities in the list of choices offered
write 4√11^5 without radicals
There are 2 forms of answers:
[tex]\boxed{\boxed{\sf484\sqrt{11}~and~1605.246398532}}[/tex]Solution Steps:______________________________
1.) Calculate 11 to the power of 5:[tex]11^5=161051[/tex]Equation at the end of Step 1:
[tex]4\sqrt{161051}[/tex]2.) Factor [tex]161051=121^2[/tex] × [tex]11[/tex]:Rewrite the square root of the product 161051: [tex]\sqrt{121^2*11}[/tex]Rewrite the square root as products or square roots:[tex]\sqrt{121^2*11}=\sqrt{121^2} \sqrt{11}[/tex]Take the square root of [tex]121^2[/tex]: [tex]\sqrt{121^2}=121[/tex]Equation at the end of Step 2:
[tex]4[/tex] × [tex]121\sqrt{11}[/tex]3.) Multiply 4 and 121:[tex]4[/tex] × [tex]121=484[/tex]Equation at the end of Step 3:
[tex]484\sqrt{11}[/tex]4.) Turn the radical into a decimal: [tex]484\sqrt{11}[/tex] ≈ [tex]1605.246398532[/tex](This is an optional step, if you need the decimal form instead of the radical form.)
______________________________
There are 2 forms of answers without radicals;
484√11 and 1605.2463
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
To Calculate 11 to the power of 5 gives 161051
Factor 161051 = 121²× 11 :
Now Rewrite the square root of the product 161051: √121²× 11
Also,
√121²× √11
Take the square root of :
√121² = 121
4 x 121√11
Multiply 4 and 121:
4 × 121 = 484
484√11
Then Turn the radical into a decimal:
484√11 ≈ 1605.2463
Learn more about exponentiation here:
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Mica bought a pair of football cleats using a 20% off coupon. The coupon saved Mica $57. What was the original price of the football cleats
the other side is 25, but im not sure what sin B is
9514 1404 393
Answer:
sin B = 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The side opposite angle B is the side AC. Its length is shown as 24. You have correctly said the hypotenuse (AB) is 25, so you have ...
sin(B) = AC/AB
sin(B) = 24/25
HELPPP PLSLSLS I need it for live lesson
Answer:
44g
Step-by-step explanation:
flour=7/6*150=7*25=175g
sugar=175/2=87.5g for 36 biscuits
so for 18 biscuits she needs half as much whuch is equal to 87.5/2=43.75g or 44g
The ratio of dogs the cats is 3:5 is there a 30 cats how many dogs with there be
Answer:
15
Step-by-step explanation: since i helped can i have brainlist please :D
HELPPPP!!! i dont know the connexus geo quizz help wiht all answers
Write the equation of the line passing through the given point that is perpendicular to the
given line.
12. y = - 4x + 7: (4,2)
Answer:
The equation of the line passing through the given point that is perpendicular to the given line y = - 4x + 7: (4,2) is [tex]\mathbf{y=\frac{1}{4}x+2 }[/tex]
Step-by-step explanation:
Write the equation of the line passing through the given point that is perpendicular to the given line.
y = - 4x + 7: (4,2)
The equation of required line will be in slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept
Finding slope:
When two lines are perpendicular their slopes are opposite reciprocal of each other. [tex]m_1=-\frac{1}{m_2}[/tex]
So, slope of given line = -4 ( Comparing with [tex]y=mx+b[/tex] m = -4)
Now, slope of required line will be: m =1/4 (Opposite reciprocal)
Finding y-intercept
y-intercept can be found using m = 1/4 and point (4,2)
[tex]y=mx+b\\2=\frac{1}{4}(4)+b\\2=b[/tex]
So, we get b = 2
Now, Equation of line
Equation of line having slope m = 1/4 and y-intercept b = 2 is:
[tex]y=mx+b\\y=\frac{1}{4}x+2[/tex]
So, the equation of the line passing through the given point that is perpendicular to the given line y = - 4x + 7: (4,2) is [tex]\mathbf{y=\frac{1}{4}x+2 }[/tex]
Solve For x. Please don't put 'I don't know.'.
Answer:
X=12
Step-by-step explanation:
Answer:
i think 128/7=x
Step-by-step explanation:
FEE
Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options
AT
VX
Oy=-3x + 1
0 3x - 4y = -4
0 4x - 3y = -3
Oy-2 =(-4)
Oy +2 = (x + 4)
Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
[tex]y+2=\frac{3}{4}\left(x+4\right)[/tex][tex]3x - 4y = -4[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation
[tex]\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)[/tex]
[tex]y+2=\frac{3}{4}\left(x+4\right)[/tex]
Thus, the equation in the point-slope form of the line equation is:
[tex]y+2=\frac{3}{4}\left(x+4\right)[/tex]
Simplifying the equation
[tex]y+2=\frac{3}{4}\left(x+4\right)[/tex]
Subtract 3 from both sides
[tex]y+2-2=\frac{3}{4}\left(x+4\right)-2[/tex]
[tex]y=\frac{3}{4}x+1[/tex]
Multiplying the equation by 4
[tex]4y = 3x + 4[/tex]
[tex]3x - 4y = -4[/tex]
Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
[tex]y+2=\frac{3}{4}\left(x+4\right)[/tex][tex]3x - 4y = -4[/tex]The equations that represent the line that is parallel to 3x - 4y = 7 and passes through (-4, -2) are: y + 2 = 3/4x + 3 and y = 3/4x + 1
What is the Equation of Parallel Lines?If two lines are parallel, the slope (m), in their equation in slope-intercept form (y = mx + b) would be the same.
Rewrite the equation, 3x - 4y = 7 in slope-intercept form
-4y = -3x + 7
y = -3y/-4 + 7/-4
y = 3/4y - 7/4
The slope (m) is 3/4, therefore, the slope of the line that is parallel to 3x - 4y = 7 and passes through (-4, -2) would be: m = 3/4.
Substitute (a, b) = (-4, -2) and m = 3/4 into y - b = m(x - a)
y -(-2) = 3/4(x - (-4))
y + 2 = 3/4(x + 4)
y + 2 = 3/4x + 3
y = 3/4x + 3 - 2
y = 3/4x + 1
The equations that represent the line are:
y + 2 = 3/4x + 3 and y = 3/4x + 1
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