Answer:
The original number of oranges purchased is 260
Step-by-step explanation:
Let the original number of oranges purchased be x
We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.
So, Oranges bought this year = [tex]x+15\%x=x+\frac{15}{100}x=1.15x[/tex]
We are given that This year the store bought 299 oranges.
So, [tex]1.15 x= 299[/tex]
[tex]x=\frac{299}{1.15}[/tex]
x=260
Hence the original number of oranges purchased is 260
Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2.
Answer:
263.76
3.14x(42+42)
3.14x82=263.76 .
Answer:
75.36
Step-by-step explanation:
Given
3.14(a² + ab) ← substitute a = 4, b = 2 into the expression
= 3.14(4² + 4(2)) = 3.14(16 + 8) = 3.14 × 24 = 75.36
Which net represents this solid figure?
Rectangular prism 6.
Net of a cube 5.
Net of a cube 6.
Net of a rectangular prism. Two rectangles have a width of eight units and a height of four units. Two rectangles have a width of eight units and a height of three units. Two rectangles on the left and right have a width of four units and a height of three units.
Net of a rectangular prism 12.
The net represents a rectangular prism with two rectangles of 4x8 units, two rectangles of 8x3 units, and two rectangles of 4x3 units. The net of a cube doesn't match these dimensions, as it has equal sides. The 6 and 12 rectangular prisms do not match, unless they can confirm to these specific dimensions.
Explanation:The question is asking to identify which net corresponds to a specified rectangular prism with given dimensions. A net in mathematics refers to a pattern that you can cut and fold to make a model of a solid shape. A net of a rectangular prism consists of six rectangles of two pairs with equal dimensions - however, within each pair, the two rectangles may not be identical in dimensions to the other pair.
For this case, the rectangular prism described will have two rectangles with a height of 4 units and a width of 8 units, two rectangles with a width of 8 units and a height of 3 units, and two rectangles with a width of 4 units and a height of 3 units.
Thus, the correct net for this rectangular prism is the one with these described dimensions. We can eliminate the net of a cube options as those will have equal sides on all faces, which this prism does not have. The rectangular prism 12, 6, unless they match the above dimensions, also will not be the correct answer.
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How do you determine the base when solving for x by converting to a log?
The answer was supposed to be
x= ln(3/2) / 4ln(1.0125)
why is it ln?
[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]
Solution:
Given expression:
[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]
To solve the expression:
[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]
If f(x) = g(x) then ln(f(x)) = ln(g(x)).
Using the above condition, we can write
[tex]$\ln \left(1.0125^{4 x}\right)=\ln \left(\frac{3}{2}\right)[/tex]
Apply log rule: [tex]\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)[/tex]
[tex]$4 x \ln (1.0125)=\ln \left(\frac{3}{2}\right)[/tex]
Divide both side of the equation by [tex]4 \ln (1.0125)[/tex].
[tex]$\frac{4 x \ln (1.0125)}{4 \ln (1.0125)}=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]
[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]
The answer is [tex]x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex].
Final answer:
To solve for x by converting to a logarithm, the base used depends on the context and specific problem. In this case, the natural logarithm is used as the base is relevant to the equation.
Explanation:
To solve for x by converting to a logarithm, you need to determine the base of the logarithm. In this case, the answer is x = ln(3/2) / 4ln(1.0125), where ln represents the natural logarithm.
The natural logarithm, denoted by ln, is the logarithm with base e, where e is an irrational number approximately equal to 2.71828. It is commonly used in calculus and other fields of mathematics.
When converting to a logarithm, the base can be any positive number greater than 1. The choice of base depends on the context and the specific problem being solved. In this case, the natural logarithm is used because it is relevant to the given equation.
Greatest common factor of 12 and36
Answer:
12
Step-by-step explanation:
Since 12 itself a factor of 36, there can't be a greater commonly factor
which pair of points forms line that does no intersect the line that passes through the points (5,7) and (7,7)?
Answer:
(8, -9), (11, -9)
Step-by-step explanation:
The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.
For a line to not intersect the line y = 7, it must be parallel to y = 7.
The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.
From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.
Answer: (8, -9), (11, -9)
d = √((7 - 5)² + (7 - 7)²)
d = √(2² + 0²)
d = √4
d = 2
((5 + (2/2)), 7)
= ((5 + 1), 7)
= (6, 7)
what are the numbers of pi \pi help due Friday
Answer: 3.14285714.....
Step-by-step explanation:
pi is [tex]\dfrac{22}{7}[/tex]
[tex].\quad \underline{\ 3.14285714}\\.\ 7)22.0000000\\.\ \ \underline{-21}\\.\qquad 10\\.\qquad \underline{- 7}\\.\qquad\ \ 30\\.\quad\ \ \ \underline{-28}\\.\qquad \ \ \ 20\\.\quad\ \quad \underline{-14}\\.\qquad \quad \ \ 60\\.\qquad \quad \underline{-56}\\.\qquad \qquad \ 4[/tex]
Thiis is a non-terminating and non-repeating decimal.
Answer:
3.
141592653589793238462643383279502884197169399375105
82097494459230781640628620899862803482534211706798
21480865132823066470938446095505822317253594081284
81117450284102701938521105559644622948954930381964
42881097566593344612847564823378678316527120190914
56485669234603486104543266482133936072602491412737
24587006606315588174881520920962829254091715364367
89259036001133053054882046652138414695194151160943
30572703657595919530921861173819326117931051185480
74462379962749567351885752724891227938183011949129
83367336244065664308602139494639522473719070217986
09437027705392171762931767523846748184676694051320
00568127145263560827785771342757789609173637178721
46844090122495343014654958537105079227968925892354
20199561121290219608640344181598136297747713099605
18707211349999998372978049951059731732816096318595
02445945534690830264252230825334468503526193118817
10100031378387528865875332083814206171776691473035
98253490428755468731159562863882353787593751957781
85778053217122680661300192787661119590921642019893
80952572010654858632788659361533818279682303019520
35301852968995773622599413891249721775283479131515
57485724245415069595082953311686172785588907509838
17546374649393192550604009277016711390098488240128
58361603563707660104710181942955596198946767837449
44825537977472684710404753464620804668425906949129
33136770289891521047521620569660240580381501935112
53382430035587640247496473263914199272604269922796
78235478163600934172164121992458631503028618297455
57067498385054945885869269956909272107975093029553
21165344987202755960236480665499119881834797753566
36980742654252786255181841757467289097777279380008
16470600161452491921732172147723501414419735685481
61361157352552133475741849468438523323907394143334
54776241686251898356948556209921922218427255025425
68876717904946016534668049886272327917860857843838
27967976681454100953883786360950680064225125205117
39298489608412848862694560424196528502221066118630
67442786220391949450471237137869609563643719172874
67764657573962413890865832645995813390478027590099
46576407895126946839835259570982582262052248940772
67194782684826014769909026401363944374553050682034
96252451749399651431429809190659250937221696461515
70985838741059788595977297549893016175392846813826
86838689427741559918559252459539594310499725246808
45987273644695848653836736222626099124608051243884
39045124413654976278079771569143599770012961608944
16948685558484063534220722258284886481584560285060
16842739452267467678895252138522549954666727823986
45659611635488623057745649803559363456817432411251
50760694794510965960940252288797108931456691368672
28748940560101503308617928680920874760917824938589
00971490967598526136554978189312978482168299894872
26588048575640142704775551323796414515237462343645
42858444795265867821051141354735739523113427166102
13596953623144295248493718711014576540359027993440
37420073105785390621983874478084784896833214457138
68751943506430218453191048481005370614680674919278
19119793995206141966342875444064374512371819217999
83910159195618146751426912397489409071864942319615
67945208095146550225231603881930142093762137855956
63893778708303906979207734672218256259966150142150
30680384477345492026054146659252014974428507325186
66002132434088190710486331734649651453905796268561
00550810665879699816357473638405257145910289706414
01109712062804390397595156771577004203378699360072
30558763176359421873125147120532928191826186125867
32157919841484882916447060957527069572209175671167
22910981690915280173506712748583222871835209353965
72512108357915136988209144421006751033467110314126
71113699086585163983150197016515116851714376576183
51556508849099898599823873455283316355076479185358
93226185489632132933089857064204675259070915481416
54985946163718027098199430992448895757128289059232
33260972997120844335732654893823911932597463667305
83604142813883032038249037589852437441702913276561
80937734440307074692112019130203303801976211011004
49293215160842444859637669838952286847831235526582
13144957685726243344189303968642624341077322697802
80731891544110104468232527162010526522721116603966
65573092547110557853763466820653109896526918620564
76931257058635662018558100729360659876486117910453
34885034611365768675324944166803962657978771855608
45529654126654085306143444318586769751456614068007
00237877659134401712749470420562230538994561314071
12700040785473326993908145466464588079727082668306
34328587856983052358089330657574067954571637752542
02114955761581400250126228594130216471550979259230
99079654737612551765675135751782966645477917450112
99614890304639947132962107340437518957359614589019
38971311179042978285647503203198691514028708085990
48010941214722131794764777262241425485454033215718
53061422881375850430633217518297986622371721591607
71669254748738986654949450114654062843366393790039
76926567214638530673609657120918076383271664162748
88800786925602902284721040317211860820419000422966
17119637792133757511495950156604963186294726547364...
Step-by-step explanation:i hope this helps!!!!!!
and i looked it up. i just want you to know that.
lol
The sum of two numbers is 35.
Three times the larger number is
the same as 4 times the smaller
number. Find the larger number.
(HINT: Let x = larger number;
35 - X=smaller number.)
Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
To find the larger number when the sum of two numbers is given and the relationship between them is described, we can set up and solve an equation.
Explanation:To solve this problem, we can set up two equations based on the given information. Let x represent the larger number and 35 - x represent the smaller number. According to the problem, we have the equation 3x = 4(35 - x). Solving this equation will give us the value of x, which represents the larger number.
Expanding the equation, we have 3x = 140 - 4x. Combining like terms, we get 7x = 140. Dividing both sides by 7, we find that x = 20. Therefore, the larger number is 20.
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Jada received a $20 dollar iTunes gift card for her birthday. She download 6 songs which each cost $0.97 and 1 app which cost $2.64 how much money js left on jade gift card
Answer:
Step-by-step explanation: 0.97 times 6 to get 5.82
Then 2.64 plus 5.82 to get 8.46
Lastly 20 - 8.46 = 11.54
factor q^2+q+5pq+5p by grouping
Answer:
(q + 1)(q + 5p)
Step-by-step explanation:
q² + q + 5pq + 5p
= (q² + q) + (5pq + 5p)
Consider that : q² + q = q(q + 1) and 5pq + 5p = 5p(q + 1)
then
q² + q + 5pq + 5p
= (q² + q) + (5pq + 5p)
= q(q + 1) + 5p(q + 1)
= (q + 1)(q + 5p)
Good luck :)
Final answer:
The expression q^2 + q + 5pq + 5p is factored by grouping into (q + 5p)(q + 1) by factoring out common factors from the grouped terms.
Explanation:
To factor by grouping the expression q2 + q + 5pq + 5p, we need to group the terms in a way that common factors can be factored out.
Firstly, we divide the expression into two groups:
q2 + q5pq + 5pWe can then factor out the common factor from each group:
q2 + q = q(q + 1)5pq + 5p = 5p(q + 1)Now, we can see that the term (q + 1) is common in both grouped expressions:
q(q + 1) + 5p(q + 1)
The expression can be factored as:
(q + 5p)(q + 1)
This is the factored form of the original expression.
Which choice correctly shows the solution(s) of the equation x2 = 225?
A) x =
225
B) x = −
225
C) x = ±
15
D) x = ±
225
Answer:
C)x = +/-15
Step-by-step explanation:
15x15=225
-15x-15=225
Answer:
A
Step-by-step explanation:
The answer would be the square root of 225
hi again, a ice cream shop uses the following ingredients to make 1 sundae.
ice cream=2 scoops
sprinkles=4 spoonfuls
wipped cream=2 tablespoons
how many sundaie's did the shop make if they used 32 spponfuls of sprinkles?
Answer:
8 sundaes.
Step-by-step explanation:
Follow below steps:
Combinations without repetition:
In the given scenario, the ice cream shop uses 4 spoonfuls of sprinkles for 1 sundae. To find out how many sundaes they made with 32 spoonfuls of sprinkles, divide the total number of spoonfuls by the amount of sprinkles used per sundae: 32 spoonfuls ÷ 4 spoonfuls = 8 sundaes.
Combinations with repetition:
Explaining combinations with repetition involves calculating the different combinations possible when taking into account repeated flavors in ice cream selections.
Evaluate 8y-14 for y=20
Answer:
146
Step-by-step explanation:
Begin by substituting 20 in for y
8y-14
8(20)-14 Multiply 8 and 20
160-14 Subtract
146
Hope this helps!
Step-by-step explanation:
[tex]8y-14 = 8(20) - 14 [/tex]
[tex] [/tex]
160-14=146
Ivanna made $414 for 18 hours of work.
At the same rate, how many hours would she have to work to make $115?
Answer:
5hours
Step-by-step explanation:
Ivanna made $414 for 18 hours of work.
Working at the same rate, she will make $115 for = (115 x 18)/414 = 5hours
Answer:
5
Step-by-step explanation:
First, we have to figure out how much money she makes per hour. We can do this by dividing. 414 divided by 18 = 23. Then, we multiply. 23 x 17 = 391, 23 x 16 = 368 etc. we multiply until we get to, 23 x 5, which equals 115. I hope this made sense!
Suppose you have $300 to invest. One bank offers an annual
simple interest rate of 4.5% for a 3-year investment. Another
bank offers an annual simple interest rate of 6.8% for a 2-year
investment. Which account will earn you more money?
Answer:
$40.50
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or:
I= P × r × t
Where:
P is the principal amount, which is $300.00.
r equals the interest rate, which 4.5% per year, or as a decimal, 4.5/100=0.045.
t equals time involved, which is 3 years
To find the simple interest, we multiply 300 × 0.045 × 3 to get that the interest is: $40.50
hope this helped! pls give a thanks:)
A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumferend
What is the measure of its radius?
Answer:
R = 23.9
Step-by-step explanation:
formula for circles circumfrence is, C = 2*3.14*R
in this one we have to work backwards so we plug wut we have.
150 = 2* 3.14*R
we divide 150 by 2 so it will be
75 = 3.14R
now we divide 75 by pi so wwe get
23.8732414638 = R
Now we round it to nearest tenth
R = 23.9
Factor 1/5 out of 1/5x + 29/5
Answer:
(1/5x+29/5)
(1/5x÷1/5) + (29/5÷1/5)
(x) +(29)
x+29
You are dealt one card from a 52- card deck. Find the probability that you are not dealt a six
Answer:
48/52, or 0.92307692307
Step-by-step explanation:
There are 13 cards in each of the 4 suits.
A,2,3,4,5,6,7,8,9,10,J,Q,K.
If there is 1 six in 1 suit, and there are 4 suits, there are 4 sixes. The chance of NOT getting a 6 is 52(all the cards)-4(six delt) /52.
48/52=0.92307692307
Want it more professionally?
Using the scientific probability method:
p=probability
p(all cards in 1 deck)-p(a 6 dealt)=p(not dealt a 6)
p(52/52)-p(4/52)=p(not dealt a 6)
p(48/52)=p(not dealt a 6)
There is a 48/52 chance (0.92307692307) that you are not dealt a 6.
Hope this helps!
The probability of not being dealt a six from a 52-card deck is 12/13.
Probability of not being dealt a six:
There are 52 cards in a deck.
There are 4 sixes in a deck .
Hence, the probability of not getting a six when dealt one card is 1 - (4/52) = 48/52 = 12/13.
Anya budgets $194 for commuting to
work each month. She buys a monthly
bus pass for $68 and spends $6 each
time she buys lunch. Which inequality
describes the number of days, d, that
Anya can afford to buy lunch?
Answer:
$68+($6xd) </= $194
Step-by-step explanation:
monthly bus pass plus the amount of days she buys lunch times $6 has to be less than or equal to $194
If x=36 and Y=4, how many of the following are rational numbers?
Answer:
2 of them
Step-by-step explanation:
sqr root xy and the sqr rt x/y
Please helpppp!!!
Also, please outlne the steps you've used.
Answer:
The correct answer is:
Ken will have run 3 laps and Hamid will have run 4.
Explanation:
To find this, we first find the number of seconds that will have passed when they meet again. We use the LCM, or least common multiple, for this. First we find the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM, we multiply the common factors by the uncommon. Between the two numbers, the common factors are 2, 2 and 5. This makes the uncommon 2, 2, and 3, and makes our LCM
2(2)(5)(2)(2)(3) = 240
This means every 240 seconds they will both be at the start line.
Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.
What is the measure of angle PNL
Answer:
Angle M has a measure of 47°.
What is the measure of angle PNL?
43°
47°
86°
94°
Answer:
43
Step-by-step explanation:
trust me
I don't get the question ¯\(°_o)/¯
Answer:
the correct answer is the first option
Step-by-step explanation:
you just need to put the numbers from highest to lowest
dead sea = 1312
lake assal =512
death valley = 282
valdes peninsula = 131
caspian sea = 92
plz mark me as brainliest :)
What is 5/3 as a whole number
Answer:
1 and 2/3
Step-by-step explanation:
The fraction 5/3 can be expressed as the mixed number 1 2/3.
The fraction 5/3 cannot be expressed as a whole number because it is an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator.
To convert the improper fraction 5/3 into a mixed number (a whole number plus a proper fraction), we divide the numerator (5) by the denominator (3):
5 ÷ 3 = 1 remainder 2
The result tells us that 5 divided by 3 equals 1, with a remainder of 2.
Therefore, the fraction 5/3 can be expressed as the mixed number 1 2/3.
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I don’t know how to do this. Ignore my work it’s probably wrong. Please help.
Check the picture below.
A)
well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.
B)
at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.
C)
at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.
does it fall the same distance on both intervals? well, they're different, so nope.
The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day. Write the cost of renting the car as a function of the number of days rented. Use your function to find how much it would cost to keep the car for a week
Answer:
$339.00 for a week
Step-by-step explanation:
Step 1: Convert words into an expression
The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day.
f(d) = 45 + 42d
Step 2: Find the cost for a week/7 days
f(7) = 45 + 42(7)
f(7) = 45 + 294
f(7) = 339
Answer: $339.00 for a week
Definition: A logical argument arranged with statements and reasons.
Term:
The answer would be a two-column proof.
A two-column proof is a logical argument arranged with statements and reasons.
Hope that helps, :)
If you bought a car five years ago for $15,000 and today you can sell for $7000 what was its rate of depreciation
Step-by-step explanation:
The price of car purchased 5 years ago = 15000
The price of car sold = 7000
By compound depreciation,
[tex]Pn = P (1 - R/100) ^ T[/tex] ... (1)
where Pn = 7000
P = 15000
R = rate of interest to be calculated
T = 5 ( number of years)
substituting the values in equation (1), we get
[tex]7000 = 15000 (1 - R/100) ^ 5[/tex]
[tex]0.46 = (1 - R/100) ^ 5[/tex]
[tex]0.858 = 1 - R/100[/tex]
0.858 is rounded off as 0.86
R/100 = 0.14
By simplifying the above equation, we get
Rate of depreciation = 14%
Find the sine and cosine for each angle shown (30°, 45°, 60°, and 90%). Round off to 5 decimal places, if necessary.
sin(30) =
sin(45) =
sin(60°) =
sin(90°) =
cos(30°) =
cos(45°) =
cos(60°) =
cos(90°) =
Answer:
sin(30) = 1/2
sin(45) = sqrt(2)/2 -> 0.70711
sin(60) = sqrt(3)/2 -> 0.8660
sin(90) = 1
cos(30) = sqrt(3)/2 -> 0.8660
cos(45) = sqrt(2)/2 -> 0.70711
cos(60) = 1/2
cos(90) = 0
Answer:
Step-by-step explanation:
sin30=1/2=0.5
sin 45=(√2)/2=1.41421356237/2=0.70710678...=0.70711
sin 60=(√3)/2=1.73205080757/2=0.86603
sin 90=0
cos30 =(√3)/2=0.86603
co 45=(√2)/2=0.70711
cos 60=1/2=0.5
cos 90=0
If a/b = c/d, then ad = bc.
Answer:
The statement is true
see the explanation
Step-by-step explanation:
we have the proportion
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
we know that
To solve the proportion multiply in cross
so
[tex](a)(d)=(b)(c)[/tex]
[tex]ad=bc[/tex]
therefore
The statement is true
1) A survey of favorite colors showed 198 people chose
green, 212 chose blue, and 187 chose red. If 39% of the
people surveyed are children, ABOUT how many
people surveyed were children? (use a calculator – show
all work!)
Answer:
233
Step-by-step explanation:
so we add up the total number of people surveyed (198+212+187) and get 597. So, then we multiply 597 by 0.39 (597(.39)) and that gives us 232.83. we round up 232.83 to 233 and thats the answer