5(-3x - 2) - (x - 3) = -4 (4x +5) + 13

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.

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

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00237877659134401712749470420562230538994561314071

12700040785473326993908145466464588079727082668306

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99079654737612551765675135751782966645477917450112

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48010941214722131794764777262241425485454033215718

53061422881375850430633217518297986622371721591607

71669254748738986654949450114654062843366393790039

76926567214638530673609657120918076383271664162748

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Step-by-step explanation:i hope this helps!!!!!!

and i looked it up. i just want you to know that.

lol

Answer:

[tex](x-2)(x+2)\left(x+3\right)^2[/tex]  is the required factor form.

Step-by-step explanation:

When the factor of the expression is required to be found, then take the common terms, or find the factor by splitting the terms, or by using the standard formulas.

So here we have to find the factor of the expression:

[tex](x^2-4)(x^2+6x+9)\\[/tex]

so we will first find the factors of:

[tex](x^2-4)=(x-2)(x+2)~~~~~~~~~~~~~~~~~\because x^2-y^2=\left(x+y\right)\left(x-y\right)\\[/tex]

Now the factors of:

[tex](x^2+6x+9)=\left(x+3\right)^2~~~~~~~~~\because \left(a+b\right)^2=a^2+2ab+b^2[/tex]

So the final factor is given as:

[tex](x^2-4)(x^2+6x+9)\\=(x-2)(x+2)\left(x+3\right)^2[/tex]

Answer:

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

Step-by-step explanation:

There are

The empirical probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

Answer: What is the

Step-by-step explanation:

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.

The answer would be a two-column proof.

A two-column proof is a logical argument arranged with statements and reasons.

Hope that helps, :)

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.

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.

https://brainly.com/question/30866040

#SPJ12

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.

Learn more about Mixed Fraction here:

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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.

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

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)

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

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!

Answer:

-1

Step-by-step explanation:

I hope this helps!

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

Answer:2 3/10

Step-by-step explanation:

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

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

Answer:

A) 4*4x-4*3 and 16x-12

B) 12y+15y and 27y

Step-by-step explanation:

For A when you do the distributive property, you get:

4(4x-3)

4*4x-4*3 (which is one of the choices)

16x-12 (which is one of the choices)

For B when you combine like terms, you get:

12y+5y+10y

12y+15y (which is one of the choices)

27y (which is one of the choices)

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

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

Answer:

x =7

Step-by-step explanation:

16:28=4:x

16*x=28*4

x=28*4/16

x=112/16

x=7

Answer:

7

Step-by-step explanation:

16/4=4 28/4=7

Answer:

(1/5x+29/5)

(1/5x÷1/5) + (29/5÷1/5)

(x) +(29)

x+29

Answer:

The answer is D, the random sample does not represent all people who are likely to watch the chef's cooking show.

Step-by-step explanation:

This is because not all people who enjoy cooking know about or visit the chef's blog.

Answer:ok guys so the answer is D

Step-by-step explanation: Not all people who enjoy cooking know about or visit the chefs blog

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%

[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.

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:

We can then factor out the common factor from each group:

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.

Answer:

12

Step-by-step explanation:

Since 12 itself a factor of 36, there can't be a greater commonly factor