The equation that represents the total distance they have driven, d, in terms of the number of hours since noon, h is:
d = 65h + 50
Which equation represents the total distance that the family has traveled?The equation that represents the total distance that the family traveled must show the initial distance they started with, the velocity at which they are traveling and the time they have covered.
The initial distance that they started with is = 50 miles
The velocity at which they are traveling is 65miles/hr
Therefore the total distance they have driven, d, in terms of the number of hours since noon, h
= 65h + 50
Therefore, the third option is correct.
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(What did Benjamin Franklin use to lighten the mood in Philadelphia where the Constitution was being written?)
Sense of humor.
Ice cream.
An air-cooling device he had invented.
Poetic readings.
Answer:
Ice cream
Step-by-step explanation:
During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.
To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.
Answer:
An air cooling he has invented
Step-by-step explanation:
Find the missing side length, N.
We know these triangles are congruent with the missing side, N would be equal to 15.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We know these triangles are congruent.
To find the missing side, N
ΔABC ≅ΔQRS
AC/QS = BC/RS
2/5 = 6/n
n = 6 x 5/2
n = 30/2
n = 15
Thus, the value of N is 15.
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6. Solve for the variable in the following proportion: 45 g = 5/1
Answer:
g=9
Step-by-step explanation:
assuming you actually meant 45/g, then it would be 5g=45
3x+8-2(1-x)=1
What is the value of x
Answer:
3x+8-2+2x=1
5x=1-8+2
5x=-5
x=-5/5
x=-1
Answer:
7
Step-by-step explanation:
6x + 57= 135 solve x
Answer:
can't find answer sorry
a ball is randomly selected from a bag conraining 12 yellow balls,5red balls,and 7 white balls. find p(white ball). round to the nearest hundredth if necessary?
Answer:
P(white ball)=0.29
Step-by-step explanation:
12 yellow balls
5 red balls
7 white balls
12+5+7=24
so 24 balls in the bag
[tex]\frac{7}{24}[/tex]=0.2916
rounded to the nearest is 0.29
DESPERATE (please answer with picture of the graph)
WILL MARK BRAINLIST AND THANKS
Answer:
so the square root of 23 is 4.79583152331 but rounded is 4.8 so your right where you need to be!
Step-by-step explanation:
Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0
Answer:
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex] = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Step-by-step explanation:
Given expression
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex]
we know that the algebra formula
[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]
[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]
= [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
The lines graphed below are perpendicular. The slope of the red line is
What is the slope of the green line?
Answer:
Is there a picture for this one and also you didn't mention the slope of the red line is?
Step-by-step explanation:
Answer:
The slope of the Green line should be the same as the red line- but a negative number instead of a positive.
Step-by-step explanation:
This is the inverse of the line
So by reflecting it over the y-axis, the slope remains the same but will change from positive to negative and vise versa
Anna wants to add compatible numbers to find the following sum. 27.95 + 19.37 + 34.05 + 21.63 Which pairs of numbers are compatible? Choose Yes or No for each pair. 27.95 and 34.05 Choose.. 27.95 and 21.63 Choose... 19.37 and 34.05 Choose... 19.37 and 21.63 Choose...
Answer:
27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.
Same with 19.37 and 21.63, it adds up to 40.00
The answer to all of this would be 101.00
Mariah025 answer here please
Answer:
wht
!?
............
..............
..
.
Pls help and show workings
Step-by-step explanation:
AB = 72 so, then FB would be half of that
so 72 divided by 2 would be 36
5x+1=36 then do substitution
-1 from both sides (from +1 you gotta do the inverse)
5x = 35
divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide
x = 7
A store used to sell an MP3 for $72which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?
Answer:
$115.2
Step-by-step explanation:
Step one:
Given data
A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.
Therefore the wholesale price is
72*2= $144
Required:
The special sales cost at 20% discount
Step two:
We are told that the special sale is at a 20% discount on the wholesale
= 20/100*144
=0.2*144
=$28.8
Therefore the special sales price is
= 144-28.8
=$115.2
if x and y varies directly and x = 4 when y = 16. find y when x = 9?
9514 1404 393
Answer:
36
Step-by-step explanation:
"Varies directly" means the relationship is proportional:
y/9 = 16/4
y = 9·16/4 = 36
The value of y is 36 when x = 9.
2) 8(x - y); user-5, and y = 2
Answer:
8(x-y);use x=5,and y=2
8(5 - 2) = 8(3) = 24
answer
24
Step-by-step explanation:
good? Brainliest?
HELP ME RIGHT NOW GRAND PRIZE IS 10 POINTS COME ON COME ON PLEASE SJNDINKOJDEWNIOEW
Solve the system of equations using the substitution method. Make sure to check your solution.
y = 3x + 2
-4x + 4y = 16
In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.
x-coordinate:
y-coordinate:
Answer: X = 1
Y= 5
Step-by-step explanation:
Plug in y = 3x + 2 in the Y coordinate to find X
-4x + 4(3x + 2) = 16
Now you can solve for X
X = 1
Then plug in 1 in the X coordinate to find Y
-4(1)+ 4y= 16
Now you can solve for Y
Y= 5
YOUR WELCOME
delta math help plz im stuck
Step-by-step explanation:
-70x^4 + 30x
= 10x(-7x^3 + 3)
ANSWER: 10x(-7x^3 + 3)
Need help with these
Answer:
3x
7-k
m/4
(5x)+12
Step-by-step explanation:
most of the words like and are just fillers. and basically means together in this instance
What type of number can √134 be classified as?
A) irrational number
B) Rational number
C) integer
D) whole number
What type of number is 0 classified as?
A) Irrational number
B) Whole number
C) Integer
Answer:
[tex] \sqrt{134 } = irrational \\ 0 = whole \: no. \: and \: integer. \\ hope \: it \: helps \\ plzz \: mark \: as \: brainliest....[/tex]
:-)Integrate the integral:
[tex]\int \frac{1}{\sqrt{x} \sqrt{1-x} }[/tex]
Answer:
[tex]\displaystyle \int {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx = 2arcsin(\sqrt{x}) + C[/tex]
General Formulas and Concepts:
Calculus
U-SubstitutionIntegration Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Arctrig Integration: [tex]\displaystyle \int\limits {\frac{1}{\sqrt{a^2-u^2} } } \, du = arcsin(\frac{u}{a} ) + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx[/tex]
Step 2: Identify
Set up variables for u-substitution and integral trig.
[tex]\displaystyleu = \sqrt{x}\\a = 1\\du = \frac{1}{2\sqrt{x}}dx[/tex]
Step 3: integrate
Rewrite Integral: [tex]\displaystyle 2\int {\frac{1}{2\sqrt{x} \sqrt{1-x} } } \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-(\sqrt{x})^2 } }[/tex][Integral] U-Sub Arctrig: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-u^2 } }[/tex][Integral] Arctrig: [tex]\displaystyle 2arcsin(\frac{u}{1}) + C[/tex]Simplify: [tex]\displaystyle 2arcsin(u) + C[/tex]Back-substitute: [tex]\displaystyle 2arcsin(\sqrt{x} ) + C[/tex]We are given the expression:
[tex]\int\limits {\frac{1}{\sqrt[]{x} }*\frac{1}{\sqrt[]{ 1-x^{2}}} } \, dx[/tex]
U-substitution:
let u = [tex]x^{1/2}[/tex] [So, x = u²]
[tex]\frac{du}{dx} = \frac{1}{2\sqrt[]{x}}[/tex] [differentiating both sides wrt x]
dx = du*2√(x)
dx = 2u(du) [Since u = √x]
Finding the Integral:
Plugging these values in the given expression:
[tex]\int\limits {u^{-1}*(1-u^{2})^{-1/2} } \, 2\sqrt[]{x}*du[/tex]
[tex]\int\limits {\frac{1}{u}*\frac{1}{\sqrt[]{ 1-u^{2}}}*2u } \, du[/tex]
The 'u' in the numerator and denominator will cancel out
[tex]\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}}*2 } \, du[/tex]
Since 2 is a constant
[tex]2\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}} } \, du[/tex]
Using the property: [tex]\int\limits {\frac{1}{\sqrt[]{1-x^{2}} }} \, dx[/tex] = ArcSin(x) + C
2*ArcSin(u) + C
Since u = √x :
2*ArcSin(√x) + C
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Answer:
B - The values of both x and y will be real numbers greater than or equal to 0.
The answer choice that best describes the values of x and y is B - The values of both x and y will be real numbers greater than or equal to 0.
Calculations and Parameters:Given that peaches are being sold for $2 per lb.
If we define x as the number of pounds that you buy, and y as the cost of these peaches, we can write the function:
y = $2*x
Therefore, the best description of the values of x and y is found in option B. The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
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A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is
200 + 3/q
q
. The cost per item to produce q items in factory B is
300 + q/
3q
. Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.
The average cost per item to produce q items in each factory is
Answer:
(700 + 51q)/4qStep-by-step explanation:
Given costs:
(200 + 13q)/q and (300 + 25q)/2qSum of the costs:
(200 + 13q)/q + (300 + 25q/2q) =(400 + 26q)/2q + (300 + 25q)/2q =(700 + 51q)/2qAverage cost is sum divided by number:
(700 + 51q)/2q ÷ 2 = (700 + 51q)/4q5. Grace has $39 She has 8 less than her brother. How much
money does Grace's brother have?
Answer:
Grace's brother has $47.
2 w = 2p - 3z
a Find w when p = 8 and z = -2
Answer:
11
Step-by-step explanation:
2w = 2×8 - (-2×3)
2w = 16 - (-6)
2w = 22
w = 11
Pleaze help me asap
And please no fake answers.
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}}[/tex] :
a = dk³ , b = dk² , c = dk[tex] \underline{ \underline{ \text{To \: prove}}} : [/tex]
[tex] \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd} = \sqrt{(a - b - c)(b - c - d)} } [/tex]
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Left hand side ( L.H.S ) :
[tex] \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd}} [/tex]
⟶ [tex] \tt{ \sqrt{d {k}^{3} \cdot \: d {k}^{2} } - \sqrt{d {k}^{2} \cdot \: dk } - \sqrt{dk \cdot \: d} }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2} {k}^{5} } - \sqrt{ {d}^{2} {k}^{3} } - \sqrt{ {d}^{2}k } }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: {k}^{2} \cdot \: k } - \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: k \: } - \sqrt{ {d}^{2}k } }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2} } \cdot \sqrt{ {k}^{2} } \cdot \: \sqrt{ {k}^{2} } \cdot \: \sqrt{k} } - \sqrt{ {d}^{2} }\cdot \: \sqrt{ {k}^{2}} \cdot \: \sqrt{k} \: - \sqrt{ {d}^{2} } \cdot \: \sqrt{k} [/tex]
⟶ [tex] \tt{d {k}^{2} \sqrt{k} - dk \sqrt{k} - d \sqrt{k} }[/tex]
⟶ [tex] \tt{ d\sqrt{k} \: ( {k}^{2} - k - 1) } [/tex]
Right Hand Side ( R.H.S) :
[tex] \tt{ \sqrt{(a - b - c)(b - c - d)}} [/tex]
⟶ [tex] \tt{ \sqrt{(d {k}^{3} - d {k}^{2} - dk)( d{k}^{2} - dk - d)} }[/tex]
⟶ [tex] \tt{ \sqrt{ \{dk( {k}^{2} - k - 1) \} \: \{d( {k}^{2} - k - 1) \}} }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2}k( {k}^{2} - k - 1) ^{2} } } [/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2}k } \cdot \: \sqrt{ {( {k}^{2} - k - 1)}^{2} } } [/tex]
⟶[tex] \tt{ \sqrt{ {d}^{2} } \cdot \: \sqrt{k} \cdot \: \sqrt{( {k}^{2} - k - 1) ^{2} } }[/tex]
⟶ [tex] \tt{d \sqrt{k} \: ( {k}^{2} - k - 1) } [/tex]
L.H.S = R.H.S
Hence , Proved !
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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15. A county fair charges $9.50 to get in and $2.50 per ride ticket. What is the cost of entering the fair and buying 4 ride tickets? *
Answer:
$19.50
Step-by-step explanation:
Multiply $2.50 by 4, which will give you $10.00.
Then, add $9.50 and $10 together, which gives you. a total of.
$19.50
Answer:
Hi, The answer is
Step-by-step explanation:
Well all you have to do is multiply 2.50 by 4=10 and add 9.50. And it all equals 19.50$.
I REALLY hope this helps you! :)
Evaluate the expression (1/4) {x(2y+3z)} when x=8, y=3, and z=2
Answer:
24
Step-by-step explanation:
x = 8, y = 3, z = 2
(1/4) x {8[2(3)+3(2)]}
(1/4) x {8(6 + 6)}
(1/4) x {48 + 48} (by distributing)
1/4 x 96
= 24
Find the slope of the line that passes through A(0, -5) and B(3,-4)
Answer:
1/3
Step-by-step explanation:
(-4-(-5))/(3-0) = 1/3
what is 1/2x + 8 < -4 ?
Answer:
-1/24 < x < 0
Step-by-step explanation:
A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine cover is enlarged by a factor of 3. enlarged by a factor of One-third. reduced by a factor of 3. reduced by a factor of One-third.
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer: D-reduced by a factor 1/3
Step-by-step explanation:
got it correct on edge 2021