Answer:
1: x = 2/5
2: x = 3/7
3: x = 1/22
Select the correct answer. Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. Which equation represents this direct variation?
Answer:
P=KC
P=1/5(C)
Step-by-step explanation:
Let
p=price per 5 copies
c=no. of copies
Direct variation can be written as
P=KC
K=constant
P=1 when c=5
1=k*5
1=5k
k=1/5
The direct variation equation can be written as
P=1/5(c)
Answer:
1/5
Step-by-step explanation:
Plato
Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase "County Fair," the contestant wins a prize. What is the probability that Luca will win Wheel of Letters? Your answer must be simplified
Answer:
wouldnt it be 10 out of 26 percent chance or 2.6
Step-by-step explanation:
there are 10 letters in county fair and 26 letters so you divide 26 by 10
The probability that Luca will win Wheel of Letters is [tex]\frac{5}{13}[/tex] given there are 26 equal sections lettered A to Z and the contestant win if the pointer lands on any letter in the phrase "COUNTY FAIR". This is obtained by using probability concept.
What is probability ?Probability of an event to occur is the ratio number of favourable outcomes to total number of outcomes.For example, probability of getting head while tossing a coin is 1/2. ⇒P(getting head)=1/2 Find the probability that Luca will win:
Given total number of outcomes are 26
Since "COUNTY FAIR" has 10 letters, number of favourable outcomes are 10.
According to definition of probability we get ,
P(winning) =[tex]\frac{10}{26}[/tex] =[tex]\frac{5}{13}[/tex]
Hence the probability that Luca will win Wheel of Letters is [tex]\frac{5}{13}[/tex] given there are 26 equal sections lettered A to Z and the contestant win if the pointer lands on any letter in the phrase "COUNTY FAIR".
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Plz someone help me, this is due in 45mins
Answer:
Stem Leaf
2 8
3 4 4
5 0 4
So we need to put all the tens values in the "stem" column and all the ones values in the "leaf" column, sorted from least to greatest.
We have three tens values: 2, 3, and 5. So those are our three stems, in order.
We have to put the second number, the ones value, in the leaf column, least to greatest. So with two values of 34, we need two 4 leaves.
Answer:
c
Step-by-step explanation:
Solve for x.
a. 5
b. 10
c. 6√3
d. 9
I'm really confused about this. Probabilities have always been a pain for me and I really don't understand this
Answer:
A
Step-by-step explanation:
The first thing to notice is the question says it is given that the person is between the ages 23 and 60, so we only care about those people. So then we want to know how likely it would be to pick someone with over 50 messages a month. So what you would do is take the amount of people who are between 23 and 60 and send over 50 text messages, and divide that by the total amount of people 23-60 (since that is the pool of people we have). Doing so we find there is 229 people aged 23-60 which then makes the answer 157/229 or A.
4 tan 45° +(2 sin 45°) (6 cos 45°)
Answer:
value of 4 tan 45° +(2 sin 45°) (6 cos 45°) is 10.
Step-by-step explanation:
To solve this question we need to know value of
tan 45° = 1
sin 45° = [tex]1/\sqrt{2}[/tex]
cos 45° = [tex]1/\sqrt{2}[/tex]
we will be using above value sin the given expression as shown
[tex]4 tan 45 +(2 sin 45) (6 cos 45) = 4*1 + (2*1/\sqrt{2} )(6*1/\sqrt{2})\\ = 4 + (2/\sqrt{2}) (6/\sqrt{2})\\= 4 + (2*6)/(\sqrt{2}*\sqrt{2})\\= 4 + (12/2)\\= 4 + 6 = 10[/tex]
Thus, value of 4 tan 45° +(2 sin 45°) (6 cos 45°) is 10.
A company's total sales (in millions of dollars) t months from now are given by S(t) = sqrt t + 2. In your own words, find and interpret S(20) and S'(20). Use these results to estimate the total sales after 24 months and after 25 months.
Answer:
S(20) = [tex]\sqrt{20+2}[/tex] = 4.69 ; value of total sales after 20 months is 4.69 million dollars
S'(20) = [tex]\dfrac{1}{\sqrt{20+2} }[/tex] = 0.21 ; increase in the total sales after 20 months is 0.21 millions of dollars
S(24) = [tex]\sqrt{24+2}[/tex] = 5.10; 5.10 millions of dollars
S(25) = [tex]\sqrt{25+2}[/tex] = 5.20 ; 5.20 millions of dollars
Step-by-step explanation:
[tex]S(t) = \sqrt{t+2}[/tex]
[tex]S(t+h) = \sqrt{t+2+h}[/tex]
[tex]S(t+h) - S(t)= \sqrt{t+2+h }- \sqrt{t+2}[/tex]
[tex]\dfrac{S(t+h) - S(t)}{h}= \dfrac{\sqrt{t+2+h }- \sqrt{t+2}}{h}[/tex]
By rationalization:
[tex]\dfrac{\sqrt{t+2+h }- \sqrt{t+2}}{h} * \dfrac{ {\sqrt{t+2+h }- \sqrt{t+2}} }{ {\sqrt{t+2+h }- \sqrt{t+2}}}[/tex]
[tex]\\ \\ \dfrac{t+2+h-t-2}{h \sqrt{t+2+h }+ \sqrt{t+2} } = \dfrac {h}{\sqrt{t+2+h }+\sqrt{t+2} }[/tex]
= [tex]\dfrac {1}{\sqrt{t+2+h }+\sqrt{t+2} }[/tex]
[tex]\lim_{k \to \infty} \dfrac {1}{\sqrt{t+2+h }+\sqrt{t+2} } = \dfrac{1}{t+2}[/tex]
[tex]S' (t) = \dfrac{1}{\sqrt{t+2} }[/tex]
S(20) = [tex]\sqrt{20+2}[/tex] = 4.69 ; value of total sales after 20 months is 4.69 million dollars
S'(20) = [tex]\dfrac{1}{\sqrt{20+2} }[/tex] = 0.21 ; increase in the total sales after 20 months is 0.21 millions of dollars
S(24) = [tex]\sqrt{24+2}[/tex] = 5.10; 5.10 millions of dollars
S(25) = [tex]\sqrt{25+2}[/tex] = 5.20 ; 5.20 millions of dollars
find the value of x.
please help !!
Answer:
y = 120
Step-by-step explanation:
Interior angles of a triangle add up to 180°
So,
x+87+33 = 180
x + 120 = 180
Subtracting 120 to both sides
x = 180-120
x = 60°
Now
Angles on a straight line also add up to 180°
So,
x+y = 180
60 + y = 180
Subtracting 60 to both sides , we get
y = 180-60
y = 120
Evaluate the formula F = 1.8 C + 32 for C = -30
Answer:
F = -22
Step-by-step explanation:
F = 1.8 C + 32 for C = -30
F = 1.8 C + 32 = 1.8(-30) + 32 = -54 + 32 = -22
Answer:
The value of F is -22
Step-by-step explanation:
F=1.8 C+32
F=1.8*-30+32
F=-54+32
F=-22
what is the inverse of the function f(x) = 1/9x +2
Answer: The Inverse function is f^-1 (x) = 9x-18
When we evaluate expressions, we need to follow the order of operations. What
is the correct order of operations? That is, what do we do first, and next, and so
on?
Please help me, I don’t wanna fail..
Answer:
8.7
Step-by-step explanation:
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!
Answer:
Exactly one solution
Step-by-step explanation:
4x -2y = 8
2x +y = 2
Multiply the second equation by 2
4x +2y = 4
Add the two equations together
4x -2y = 8
4x +2y = 4
-------------------
8x = 12
x = 12/8
We know there will be one solution
Madison has three jobs. This week she earned $124 waitressing, $30 delivering packages, and $46 babysitting. What percent of her money earned this week came from babysitting
Answer:
23%
Step-by-step explanation:
Answer:
23 %
Step-by-step explanation:
The total money earned:
124+ 30+ 46 =200
Percent earned babysitting
money earned babysitting / total * 100%
46/200 * 100 = 23 %
Please help :( struggling with this one :(
Answer:
it is C
Step-by-step explanation:
Tam buying stationary. I buy 3 pens and 4 pencils costing 83p and Caroline
buys 2 pens and 7 pencils costing 90p.
How much is one pen?
Answer:
Step-by-step explanation:
Answer:
therefore one pen can cost approx 15.6 p
What the answer is on the number line
Please help me with my question!!
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
This is because when we do the work in the boxes we can see that B is the only answer that works with it.
Pls put me as brainliest ;)
A number cube (dice) is rolled and a letter is selected from the word GIRAFFE. What is the compound probability of P ( 4 and F) P(EVEN NUMBER AND VOWEL)
Answer:
P (4 and F) = 1 in 21 or 4.76%
P(EVEN NUMBER AND VOWEL) = 3 in 14 or 21.43%
Step-by-step explanation:
The probability of rolling a four on a die is 1 in 6.
The probability of picking the letter F in the word GIRAFFE is 2 in 7.
Therefore:
[tex]P (4\ and\ F)=P(4)*P(F)\\ P (4\ and\ F)=\frac{1}{6}*\frac{2}{7}\\ P (4\ and\ F)=\frac{1}{21}= 4.76\%[/tex]
The probability of rolling an even number (2, 4 or 6) on a die is 3 in 6.
The probability of picking a vowel (A, E, I) in the word GIRAFFE is 3 in 7.
Therefore:
[tex]P (Even\ and\ Vowel)=P(Even)*P(Vowel)\\ P (Even\ and\ Vowel)=\frac{3}{6}*\frac{3}{7}\\ P (Even\ and\ Vowel)=\frac{3}{14}= 21.43\%[/tex]
What is 8064 minutes, in days remember there are 60 minutes in an hour and 24 hours in a day.
Answer:
B. 6 days
Step-by-step explanation:
60 minutes-->1 hour
8064 minutes--> ?
=8064 x (1/60)
=134.4 hours
24 hours-->1 day
134.4 hours-->?
=134.4 × (1/24)
=5.6 days
≈6 days
pilar bought 2/3 pound of turkey she ate 1/4 of the turkey for lunch how many pounds of turkey did she eat
Step-by-step explanation:
2/3 - 1/4
8/12 - 3/12= 5/12
She ate 5/12 pound of turkey.
please see the attached picture for full solution
hope it helps
Good luck on your assignment...
PLEASE HELP!!! GEOMETRY QUESTION
Answer:
Step-by-step explanation:
2y + 100 +6x-10=180(in a cyclic quadrilateral opposite angles are supplementary)
2y+6x+90 =180
2y + 6x = 90
dividing each side by 2
y+3x = 45 ........1
7x+1+2y+74 =180 ( same reason)
7x + 2y =105 ............2
multiplying 1 by 2
2y +6x =90........ 3
subtracting 3 from 2
7x+2y-2y-6x = 105-90
x = 15
substituting x=15 in 1
y+45 =45
y= 0
please mark me as the brainliest
Line t is the perpendicular bisector of FG. If line t intersects FG at point H,
which of the following statements must be true?
Check all that apply.
A. Point His the midpoint of FG
B. Line tintersects FG at a right angle
C. FG = FH
D. Line tis perpendicular to FG
E. Line tis parallel to FG
A, B, D are your answers
AP E X
Point H is the midpoint of FG, Line t intersects FG at a right angle and Line t is perpendicular to FG are true statements.
What is Coordinate Geometry?A system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A. Point H is the midpoint of FG: This statement must be true because line t is the perpendicular bisector of FG, which means it passes through the midpoint of FG and intersects FG at a right angle.
Therefore, H is the midpoint of FG.
B. Line t intersects FG at a right angle: This statement must be true because line t is the perpendicular bisector of FG, which means it intersects FG at a right angle.
C. FG = FH: This statement is not necessarily true.
While H is the midpoint of FG, the length of FH depends on the position of point H along line t. It could be greater than, less than, or equal to half the length of FG.
D. Line t is perpendicular to FG
This statement must be true because line t is the perpendicular bisector of FG, which means it is perpendicular to FG.
E. Line t is parallel to FG: This statement is not true. If line t were parallel to FG, it would not intersect FG at all, let alone at a right angle as required for a perpendicular bisector.
Therefore, Point H is the midpoint of FG, Line t intersects FG at a right angle and Line t is perpendicular to FG are true statements.
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i need help with 8-35 and 8-36
Answer:
8 - 35
a. 350 unit²
b. 81.23 unit²
c. 41.57 unit²
8 - 36
Beth should buy 3 bags of fertilizer
Step-by-step explanation:
8 - 35
a. The figure consists of 9 isosceles triangles of side lengths 11 and vertex angle = 360/9 = 40°
Hence base angles = (180 - 40)/2 = 70°
Therefore, the base of the triangles = sin(40) × 11/sin(70) = 7.52
Hence area of figure = 9 × 0.5 × 7.52 × √(11² - (7.52/2)²) =349.99 ≈ 350 unit²
b. Area of a decagon
We note that the vertex angle = 36°
∴ Half the base = tan(18) × 5 = 1.62
Area = 10 × 1.62 × 5 = 81.23 unit²
c. The area of a hexagon = [tex]s^2 \times \dfrac{3\sqrt{3} }{2}[/tex]
s = 4 therefore, the area = [tex]4^2 \times \dfrac{3\sqrt{3} }{2} = 41.57 \, unit^2[/tex]
8 - 36
Area, A of a regular pentagon = [tex]A = a^2 \times \dfrac{1}{4} \sqrt{5(5 + 2\sqrt{5} )}[/tex]
a = 15 ft., therefore, A = [tex]15^2 \times \dfrac{1}{4} \sqrt{5(5 + 2\sqrt{5} )}[/tex] = 387.11 ft.²
Therefore, since a bag of fertilizer can fertilize 150 ft.², the number of bags of fertilizer that will fertilize 387.11 ft.² will be 387.11/150 = 2.58 bags
Therefore, since 2 bags of fertilizers will not be enough, Beth should buy 3 bags of fertilizer.
Can someone help me please ?!?!?
Answer:
13*12 is greater than 11*14 by 2 meters^2
Step-by-step explanation:
[tex]A=wl=13*12=156m^2\\A=wl=11*14=154m^2[/tex]
Goodluck
Answer:
Jenny's room has a great area.
Step-by-step explanation:
Jenny's room
[tex]area = l \times b \\ = 13 \times 12 \\ = 156 {ft}^{2} [/tex]
Ruth's room
[tex]area = l \times b \\ = 14 \times 11 \\ = 154 {ft}^{2} [/tex]
so,
[tex]156 > 154[/tex]
So ,Jenny's room has a great area than Ruth's room.
hope this helps
brainliest appreciated
good luck! have a nice day!
This recipe makes 3 portions of potato soup.
Richard follows the recipe but wants to make 9 portions.
Complete the amounts of each ingredient that he needs.
Recipe: Serves 3
20 ml oil
30 g onions
400 g potatoes
450 ml milk
Answer:
60 ml oil, 90 g onions, 1200 g potatoes, 1350 ml milk
Step-by-step explanation:
What you need to do here is multiply all of these ingredients by 3, because the recipe serves 3 and he needs to serve 9, and 9/3 = 3. Therefore, he would have to triple the recipe.
A cylindrical jar’s life has a radius of 4 inches. If the volume is 351.68in^3, approximately what is the height of the jar?
Answer:
7 inches
Step-by-step explanation:
The volume of a cylinder is calculated using
where r =4 inches is the radius and V=351.68 is the volume.
To find the height of the jar, we substitute these values and solve for h.
Divide both sides by 50.24 to get:
h=7 inches
Therefore the height of the jar is 7 inches
Solve ABC given C = 90, a = 88 cm,and c = 117 cm.
Answer:
65
Step-by-step explanation:
Since we know that a rectangle is 360 degrees
90+88+117 = 295
360-295=
65
Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Mathematically, the area of a sector can be calculated using the formula below;
area of sector = angle/360 * pi * r^2
From the question, angle = 180
pi= 22/7
r = d/2 = 5.6cm/2 = 2.8 cm
So the area of the sector is as follows;
A = 180/360 * 22/7 * 2.8^2
A = 2 * 22/7 * 2.8^2 = 49.28
which is 49.3 cm^2 to the nearest tenth
√2 (√45 + √80) can be written in the form a√10 where a is an integer. Find the value of a.
Answer:
a = 7
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{2}[/tex] ([tex]\sqrt{45}[/tex] + [tex]\sqrt{80}[/tex] ) ← distribute parenthesis by [tex]\sqrt{2}[/tex]
= [tex]\sqrt{90}[/tex] + [tex]\sqrt{160}[/tex]
= [tex]\sqrt{9(10)}[/tex] + [tex]\sqrt{16(10)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{10}[/tex] + ([tex]\sqrt{16}[/tex] × [tex]\sqrt{10}[/tex] )
= 3[tex]\sqrt{10}[/tex] + 4[tex]\sqrt{10}[/tex]
= 7[tex]\sqrt{10}[/tex] → in the form a[tex]\sqrt{10}[/tex]
with a = 7
Answer:
7
Step-by-step explanation:
√2 (√45 + √80) = √90+√160= 3√10+4√10= 7√10
7√10= a√10
a=7