Answer:
5 apples
Step-by-step explanation:
[tex]\frac{31}{6}=5.16666667[/tex]
Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.
A box of breakfast cereal is 20 centimeters long, 7.5 centimeters wide, and 30 centimeters high. what is the volume of the box
Answer:
70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.
Step-by-step explanation:
70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.
The boundary line on the graph represents the equation x-3y=5. Write an inequality that is represented by the graph.
Answer:
y > 1/3x - 5/3
x-3y < 5
Step-by-step explanation:
We simplify x-3y=5, to y = 1/3x - 5/3
We notice the boundary line is dotted, we know the inequality must be < or > rather than ≤ or ≥.
The shading is above the line which indicates that in y-intercept form we must use >.
y > 1/3x - 5/3
or x-3y < 5
Either of these show the exact same thing.
A football is thrown from the top of the stands, 50 feet above the ground at an initial velocity of 62 ft/sec and at an angle of elevation of 45 degrees.
a.) Write a set of parametric equations that model the football's horizontal and vertical movement.
b.) The football reaches its maximum height at t=1.37 seconds. Using your parametric equations from part "a", determine the location of the football at its maximum height relative to the starting point.
a. i. The parametric equation for the horizontal movement is x = 43.84t
ii. The parametric equation for the vertical movement is y = 50 + 43.84t
b. the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
a. Parametric equationsA parametric equation is an equation that defines a set of quantities a functions of one or more independent variables called parameters.
i. Parametric equation for the horizontal movementThe parametric equation for the horizontal movement is x = 43.84t
Since
the angle of elevation is Ф = 45° and the initial velocity, v = 62 ft/s,the horizontal component of the velocity is v' = vcosФ.
So, the horizontal distance the football moves in time, t is x = vcosФt
= vtcosФ
= 62tcos45°
= 62t × 0.7071
= 43.84t
So, the parametric equation for the horizontal movement is x = 43.84t
ii Parametric equation for the vertical movementThe parametric equation for the vertical movement is y = 50 + 43.84t
Also, since
the angle of elevation is Ф = 45° and the initial velocity, v = 62 ft/s,the vertical component of the velocity is v" = vsinФ.
Since the football is initially at a height of h = 50 feet, the vertical distance the football moves in time, t relative to the ground is y = 50 + vsinФt
= 50 + vtcosФ
= 50 + 62tsin45°
= 50 + 62t × 0.7071
= 50 + 43.84t
b. Location of football at maximum height relative to starting pointThe location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
Since the football reaches maximum height at t = 1.37 s
The x coordinate of its location at maximum height is gotten by substituting t = 1.37 into x = 48.84t
So, x = 43.84t
x = 43.84 × 1.37
x = 60.0608
x ≅ 60.1 ft
The y coordinate of the football's location at maximum height relative to the ground is y = 50 + 48.84t
The y coordinate of the football's location at maximum height relative to the starting point is y - 50 = 48.84t
So, y - 50 = 48.84t
y - 50 = 43.84 × 1.37
y - 50 = 60.0608
y - 50 ≅ 60.1 ft
So, the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
Learn ore about parametric equations here:
https://brainly.com/question/8674159
in a class children, three quarters are chinese, one fifth are malay, and the rest are indian. what fraction of the class are indian?
Answer:
[tex] \frac{1}{20} [/tex]
or 5%
Step-by-step explanation:
Explanation:
3/4=15/20
1/5=4/20
So, rest of 'em 1/20
Answer:
1/20.
Step-by-step explanation:
1 - 3/4 - 1/5
= 20/20 - 15/20 - 4/20
= 1/20
5x²+y+10 what is the cofficient of x²
Bill has to choose between a 10% off coupon and a coupon that saves $10.00. Which of the following totals would allow Bill to save more with the $10 coupon? Answer choices:
$140 $120 $100 $80
Answer:
$80
Step-by-step explanation
(chart)
10% -$10
$140 $126 $130
$120 $108 $110
$100 $90 $90
$80 $72 $70
Select the correct solution for the expression.
2
5
+
3
8
A.
2
5
+
3
8
=
5
13
B.
16
40
+
15
40
=
31
40
C.
10
40
+
24
40
=
34
40
D.
2
5
+
3
8
=
6
40
if youre a connexus student and you know the answers to add and subtract fractions please tell me
Answer:
I think the answer is 6/40
Step-by-step explanation:
Find x
20x + 5 = 5x +65
Answer:
x=4
Step-by-step explanation:
20x-5x=65-5
15x=60
x=60/15
x=4
Answer:
x = 4Step-by-step explanation:
In the question we are given with an equation that is 20x + 5 = 5x + 65 . And we are asked to find the value of x.
Solution :
[tex] \longmapsto \: 20x + 5 = 5x +65[/tex]
Step 1 : Subtracting 5 on both sides :
[tex] \longmapsto \: 20x + \bold{ \cancel{5}} - \bold{ \cancel{5}}= 5x + \bold{65 }- \bold{5}[/tex]
On further calculations, we get :
[tex] \longmapsto \: 20x = 5x + 60[/tex]
Step 2 : Subtracting 60 on both sides :
[tex] \longmapsto \:20x - 60 = 5x + \bold{ \cancel{60}}- \bold{ \cancel{60}}[/tex]
On further calculations, we get :
[tex] \longmapsto \:20x - 60 = 5x[/tex]
Step 3 : Transposing 5x to left hand side and -60 to right hand side :
[tex] \longmapsto \:20x - 5x = 60[/tex]
On further calculations , we get :
[tex] \longmapsto \:15x = 60[/tex]
Step 4 : Divide by 15 on both sides :
[tex] \longmapsto \: \frac{ \cancel{15}x}{ \cancel{15} } = \cancel{ \frac{60}{15} }[/tex]
On further calculations, we get :
[tex] \longmapsto \: \red{ \boxed{x = 4}}[/tex]
Therefore , value of x is 4 .Now, we are verifying our answer by substituting value of x in given equation :
20x + 5 = 5x + 6520 ( 4 ) + 5 = 5 ( 4 ) + 6580 + 5 = 20 + 6585 = 85L.H.S = R.H.SHence, Verified .Therefore , our answer is correct
#Keep LearningCan anyone please answer the attachment
Answer:
•SEE BELOW•1) NAME OF CIRCLE : CIRCLE ABDE
2) CHORD : SEGMENT DE
3)DIAMETER: SEG DB
4)TANGENT LINE : RAY E
5) SECANT LINE : SEGMENT AB
HOPE IT HELPS!
MARK AS BRAINLIAST.
Jack and Thomas picked apples. Jack picked 36 apples, which is twice as many as Thomas picked.
How many apples did Thomas pick?
Which statement is true about the discontinuities of the function f(x)?
f(x)=x+1/6x^2-7x-3
There are asymptotes at x=3/2 and x=-1/3
There are holes at x = 3/2 and x = -1/3
There are asymptotes at x = -3/2 and x = 1/3
There are holes at x = -3/2 and x = 1/3
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
Answer:A There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
x is the adjacent side of 30°
Hypotenuse = 22
[tex]Cos \ 30^ \circ = \dfrac{adjacent \ side}{hypotenuse}\\\\\\0.866 = \dfrac{x}{22}\\\\\\0.866*22 = x\\[/tex]
x = 19.1
Answer:
cosθ=Adjacent/ hypotenuse
[tex] \cos(30) = \frac{x}{22} \\ \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \\ 2x = 22 \sqrt{3} \\ \\ x = \frac{22 \sqrt{3} }{2} \\ \\ x = 11 \sqrt{3} = 19.05 = 19.1[/tex]
Can someone help me please? Will award 80 pts.
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
[tex](68)(1/17) = k\\k = 4[/tex]
Therefore when y= 16,
[tex]16x = 4\\x= \frac{1}{4}[/tex]
When y varies inversely with x that means mathematically
[tex]y = \frac{k}{x}[/tex]
k ⇒ is the proportional constant that we need to findWe know for one, that when y = 68 and x = 1/17, that means
[tex]68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4[/tex]
Therefore we get the equation of the relationship between y and x as
⇒ [tex]y = \frac{4}{x}[/tex]
So when y = 16, then
[tex]16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}[/tex]
Thus the value of x when y = 16 is 1/4 or the third choice.
Hope that helps!
i dont understand this one
Answer:
C = 14[tex]\pi[/tex], A = 49[tex]\pi \\[/tex].
Step-by-step explanation:
C = Circumference, A = Area
So, the Circumference is 14[tex]\pi[/tex] and the area is 49[tex]\pi \\[/tex].
Hope this helps :)
This is the number in standard form: 500,802,009,612
What is the number in expanded form?
Answer:
500,000,000,000 + 800,000,000 + 2,000,000 + 9,000 + 600 + 10 + 2
Step-by-step explanation:
To write a standard form number into an expanded form, we must look at the amount of numbers at each 'place' in the number.
Hundred-Billions --> 5 Hundred-Thousands --> 0
Ten-Billions --> 0 Ten-Thousands --> 0
Billions --> 0 Thousands --> 9
Hundred Millions --> 8 Hundreds --> 6
Ten Millions --> 0 Tens --> 1
Millions --> 2 Ones --> 2
Answer: five hundred billion eight hundred two million nine thousand six hundred twelve.
Step-by-step explanation:
500,000,000,000=five hundred billion
800,000,000=eight hundred million
2,000,000=two million
9,000=nine thousand
600=six hundred
10=ten
2=two
Mr. Althouse has 3/4 of a quart of orange juice in a pitcher he is using to pour drinks. He needs to fill cups that hold 1/8 of a quart. How many cups will he be able to fill if he uses half of the juice in his pitcher?
Answer:
the answer should be 6.
Step-by-step explanation:
You have to make the fractions have the same denominator, this can be done by converting the 3/4. In this case you multiply both the denominator and the numerator by 2 to get 6/8. Complete the equation 6/8 ÷ 1/8 to get 6 as the full amount. half of this number would be 3 so the final result is 3.
PLEASE HELP< sorry for all the questions im asking i just dont want to confuse anyone with a bunch of pictures...
What is the decimal for 4/100?
What is the Answer
Answer:
0.04
Step-by-step explanation:
Have a nice day!
Simply just take 4 divided by 100 -> 4 : 100 = 0.04
Matt went on a bike ride of 60 miles. He realized that if he had gone 6 mph faster, he would have arrived 5 hours sooner. How fast did he actually ride
Matt travelled on a bike and cover a distance of 60 miles . If he had gone 6mph faster, he would have arrived 5 hours. Therefore, the actual rate is 6 mph.
What is rate?Rate is the ratio between two related quantities in different units.
He went on a bike ride of 60 miles.
He realized if he had gone 6 miles per hour he would have arrived 5 hours earlier.
The speed he actually ride can be calculated as follows:
let
x = speed he actually ride
y = time he arrived
Therefore,
speed = distance / time
x = 60 / y
On, the other hand his permutation is as follows:
x + 6 = 60 / y - 5
(x + 6)(y - 5) = 60
since, x = 60 / y we can substitute it in the equation
(60 / y + 6)(y - 5) = 60
60 - 300 / y + 6y - 30 = 60
- 300 / y + 6y = 60 - 30
- 300 / y + 6y = 30
6y² - 300 = 30y
6y² - 30y - 300 = 0
y² - 5y - 50 = 0
y² + 5y - 10y - 50 = 0
y(y + 5) -10(y + 5) = 0
(y - 10)(y + 5) = 0
y = 10 or -5
we cannot use negative values.
Therefore,
y = 10
x = 60 / y = 60 / 10 = 6 miles per hour
He actually rode 6 miles per hour.
If he went 6 mph faster that would be 6+6 = 12 mph
If he arrived 5 hrs sooner that would be 10 - 5 = 5 hrs
learn more rate here: https://brainly.com/question/14040951
A farmer is mapping out his acreage to
determine where to put up fencing for his
cattle. The length of his plot is 20 yards lõnger
than its width.
Write the function, f(w), that describes the
area, in square yards, of the land enclosed by
the fence.
Enter your answer in the space provided.
So
Area=Length×BreadthArea=x(x+20)Area=x^2+20xyd^2find the volume
6ft
3ft
4tt
Answer:
72 i think.
Step-by-step explanation:
Please answer this question with full working and explanation
And I reward that person with stars.
Answer:
3 7/12
Step-by-step explanation:
First find the common denominator.
8,16,24
3,6,9,12,15,18,24
Once you find the common denominator. You have to fix the numerator.
7 2/8 would become 7 6/24
Whole numbers stay the same.
8 x 3 = 24
2 x 3 = 6
Now we repeat it on the other mixed number.
3 2/3 would become 3 16/24
Again whole numbers stay the same.
3 x 8 = 24
2 x 8 = 16
Once you convert the fractions to having the same denominator you subtract like normal.
7 6/24 - 3 16/24 = 3 14/24
3 14/24 can be simplified to 3 7/12
Answer:
[tex]\boxed{3 \dfrac{7}{12}}[/tex]
Step-by-step explanation:
The first step in simplifying the expression is to convert both the fractions into improper fractions [a/b (a > b)].
⇒ [tex]7\dfrac{2}{8} - 3\dfrac{2}{3}[/tex]
⇒ [tex]\dfrac{7 \times 8 + 2}{8} - \dfrac{3 \times 3 + 2}{3}[/tex]
⇒ [tex]\dfrac{56 + 2}{8} - \dfrac{9 + 2}{3}[/tex]
⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]
The next step in simplifying the expression is to make the denominators of both fractions equivalent.
⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]
⇒ [tex]\dfrac{58 \times 3}{8 \times 3} - \dfrac{11 \times 8}{3 \times 8}[/tex]
⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]
The third step in simplifying the expression is to subtract the fractions.
⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]
⇒ [tex]\dfrac{86}{24}[/tex]
The fourth step in simplifying the expression is to simplify the difference of the two fractions.
⇒ [tex]\dfrac{86}{24}[/tex]
⇒ [tex]\dfrac{86 \div 2}{24 \div 2}[/tex]
⇒ [tex]{\dfrac{43}{12}}[/tex]
The fifth step in simplifying the expression is to convert the improper fraction into mixed fraction.
⇒ [tex]{\dfrac{43}{12}}[/tex]
⇒ [tex]{\dfrac{36}{12}} + \dfrac{7}{12}[/tex]
⇒ [tex]3 + \dfrac{7}{12}[/tex]
⇒ [tex]\boxed{3 \dfrac{7}{12}}[/tex]
pls help me with this i have a 0 in math
Answer:
(3−5)(+1)
Step-by-step explanation:
I hope this helps you and please mark me as brainliest
Answer:
The answer is ( p + 1 ) ( 3p - 5 )
Step-by-step explanation:
Help
Solve the quadratic equation by any means. Identify the method and complete the explanation of why you chose it. Irrational answers may be left in radical form.
5x2 + 16x + 3 = 0
Part a: factoring
Completing the swuares
Taking the square roots
Which one
Part b:
Why:
There are not many factors to check
It is not factorable
B is = to zero
Answer:
Factoring: [tex]x = -\frac{1}{5}, -3[/tex]
Step-by-step explanation:
A) You can factor the expression [tex]5x^2 + 16x + 3[/tex] into [tex](5x+1)(x+3)[/tex].
5x + 1 = 0 and x + 3 = 0
[tex]x = -\frac{1}{5}, -3[/tex]
B) I would use factoring because you can factor this expression, and you don't have to use completing the square
It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
$26 $79 $47 $75
Answer:75
Step-by-step explanation:
remove the largest common factor. check your answer by multiplication.
21x^5+14x^3-35
Factor out the greatest common factor.
Most common is 7
So
7(3x⁵+2x³-5)Use distributive law to verify
21x⁵+14x³-35Verified
GCF is 7
What are the coordinates of the image of point K(1, 3) after a reflection over the line y = –1
Answer:
1, -5
Step-by-step explanation:
you can this solve easily
3 - -1 = 4 units down from y = -1
x does not change in this reflection
if x/a =y/b=z/c prove the follong photo
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\frac{x}{a}= \frac{y}{b} =\frac{z}{c}[/tex]
[tex]Let \: \frac{x}{a}= \frac{y}{b} =\frac{z}{c}=m[/tex]
(where m is any constant)
[tex]\implies[/tex]
[tex]\frac{x}{a}=m\implies x =am[/tex]
[tex]\frac{y}{b}=m\implies y =bm[/tex]
[tex]\frac{z}{c}=m\implies z =cm[/tex]
To Prove:
[tex]\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}=2[/tex]
LHS [tex]=\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}[/tex]
(Plug the values of x, y and z in the form of am, bm and cm respectively in the LHS)
[tex]=\frac{a(am)-b(bm)}{(a+b)(am-bm)}+\frac{b(bm)-c(cm)}{(b+c)(bm-cm)}[/tex]
[tex]=\frac{a^2m-b^2m}{(a+b)m(a-b)}+\frac{b^2m-c^2m}{(b+c)m(b-c)}[/tex]
[tex]=\frac{m(a^2-b^2)}{m(a+b)(a-b)}+\frac{m(b^2-c^2)}{m(b+c)(b-c)}[/tex]
[tex]=\frac{\cancel{m(a^2-b^2)}}{\cancel{m(a^2-b^2)}}+\frac{\cancel{m(b^2-c^2)}}{\cancel{m(b^2-c^2)}}[/tex]
= 1 + 1
= 2
= RHS
[tex]\implies \purple{\bold{\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}}}=\red{\bold{2}}[/tex]
Thus proved
Please Help Me!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.
This is a TWO part question, make sure to answer both part A. and B.
A. Find the amount of interest. Show the math computation use to find the amount of interest.
B. What was the monthly payment? Show the work used to find this answer.
Answer:
a. 1710 b. 71.25
Step-by-step explanation:
the formula for simple interest is i=prt
2(9500)(0.09)= 1710
to find the monthly payment, divide by the number of months.
1710/24=71.25
In 10 and 11, find the area in square units of each polygon.
Answer:
10: 12 units^2 11: 33 units^2
Step-by-step explanation:
10:
Divide into square and 2 triangles (for simplicity)
square=9
one triangle=3/2
both triangles combined=3
9+3=12
11:
divide into 2 triangles
top triangle: height= 4, base=6
bottom triangle: height= 7, base=6
top=12
bottom=21
Add, 33.