What sum is represented by the following number line?

A.) 2 3/4 +(-4 3/4) =-1 2/4
B.) 2 3/4 + (-4 1/4) = -1 2/4
C.) -1 1/2 + 2 3/4 = 4 1/4
D.) 2 3/4 + (-3 1/4) = -1 2/4

Answer:

5.66 feet

Step-by-step explanation:

a^2 + b^2 = c^2

2^2 +b^2 = 6^2

square root of (36-4) = b

b= 5.66 feet

Answer:

Solution:

To solve this problem, subtract the like terms to obtain your answer.

Hence, the simplified expression is 5 + 9j.

Answer:

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

If two marbles are taken and we are looking for exactly one red, then it is:

Find the probability of each case:

Probability of exactly one red:

Answer: 12 yearly admissions and 38 single admissions

Step-by-step explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+  3525+625y=66050

-----------------------------------

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold

Answer:

wavelength = speed / frequency

3⋅108 / 2.5⋅1013 = wavelength

wavelength = 1.2⋅10−5 kilometres

hope that helped.

Step-by-step explanation:

wavelength = speed / frequency

3⋅108 / 2.5⋅1013 = wavelength

wavelength = 1.2⋅10−5 kilometres

hope that helped.

Answer:

p = 4

Step-by-step explanation:

3p + 8 = 20

3p = 20 - 8

3p = 12

p = 12/3

p = 4

Answer:

see below

Step-by-step explanation:

2p + 8 = 20 - p

add p to both sides

2p + p + 8 = 20 - p + p

combine like terms

3p + 8 = 20

subtract 8 from both sides

3p + 8 - 8 = 20 - 8

combine like terms

3p = 12

divide both sides by 3

3p / 3 = p

12/3 = 4

we're left with p = 4

Answer:

total number of marbles = 10

number of red marbles = 4

p(blue) = 3/10

number of blue marbles = 3

p(red) = 2/5

Answer:

x = -2 or -12

Step-by-step explanation:

That is the solution above

Answer:

5

Step-by-step explanation:

Answer:

400 ways

Step-by-step explanation:

Times 10 x 10 x 2 x 2  to get your answer

Answer:

800

Step-by-step explanation:

52 weeks in a year then multiply 15.40

Answer:

$803

Step-by-step explanation:

cost of electricity for 1 week = 15.40

⇒ cost of electricity for 1 day = 15.40 ÷ 7 = 2.20

⇒ cost of electricity for 365 days = 2.20 x 365 = 803

Answer:

Step-by-step explanation:

Verify by graphing.

All three given points (1, −6 ), (−2, 15) , (3, 30) appear on the last function's graph.

Answer:

Step-by-step explanation:

4(n + 10) = 34

4n + 40 = 34

If you need the rest...

4n = -6

n = -6/4

Answer:

Step-by-step explanation:

[tex]\\ \rm{:}\rightarrowtail sin^245°-tan^260°+cos^290°[/tex]

[tex]\\ \rm{:}\rightarrowtail (\dfrac{1}{\sqrt{2}})^2-(\sqrt{3})^2+(0)^2[/tex]

[tex]\\ \rm{:}\rightarrowtail \dfrac{1}{2}-3+0[/tex]

[tex]\\ \rm{:}\rightarrowtail 1/2-3[/tex]

[tex]\\ \rm{:}\rightarrowtail -5/2[/tex]

Answer:

=−x5+5x4+125x2−625x

Step-by-step explanation:

The solution of the logarithmic equation provided using the log rule is,

[tex]x=-3[/tex]

When the base of the logarithm in an equality expression is same, then the number are directly compared to each other.

The given logarithmic equation in the problem is,

[tex]\log_7(x -4) = \log_7(4x +5)\\[/tex]

Compare the number for the same base as,

[tex](x-4)=(4x+5)[/tex]

Solve the equation further as,

[tex]4x-x=-4-5\\3x=-9\\x=\dfrac{-9}{3}\\x=-3[/tex]

Thus, the solution of the logarithmic equation provided using the log rule is,

[tex]x=-3[/tex]

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

no solution

Step-by-step explanation:

Answer:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣  _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

➣

Substitute, x = 96/y in equation 1,

➣

➣

➣

➣

➣

Divide by minus sign,

➣

➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

➣

➣

➣

Step-by-step explanation:

Answer:

CDA≈27,6°

Step-by-step explanation:

First we solve the x using pythagorean theorem

a^2+b^2=c^2

x^2+6^2=6.5^2

x^2+36=42.25      ||-36

x^2=42.25-36

x^2=6.25               ||√

√x^2=√6.25

x=2.5cm

now we can solve y

y = 23cm-9cm-2.5cm

y=11.5cm

now we can solve CDA angle with tanα

tanα=[tex]\frac{a}{b} \\[/tex]

tanα=6cm/11.5cm

α≈27,6°

Answer:

x - y = 4

Explanation:

I hope it's correct

answer:

x - y = 4

explanation:

[tex]\rightarrow \boxed{\frac{3^x}{3^y} = 81}[/tex]

[tex]\rightarrow \boxed{3^{x-y} = 81}}[/tex]

[tex]\rightarrow \boxed{3^{x-y} = 3^4}}[/tex]

[tex]\rightarrow \boxed{x-y = 4}[/tex]

1. Observe problem

1-(1/8+1/12+1/2)

Make all common denominator

The Least common multiple of 8,12, and 2 is 24

1-((3+2+12)/24)=

1-17/24=

7/24

Therefore, 28 years make up 7/24 of his life.

Simplifying, he grows 4 years for every 1/24 of his life

4 times 24 is 96, so

Fred is 96 currently(that's pretty old)

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the present age of Fred be x

Therefore,

According to the question,

[tex]\sf{ 1/8x + 1/12x + 1/2x + 28 = x }[/tex]

[tex]\sf{ (3x + 2x + 12x )/24 + 28 = x }[/tex]

[tex]\sf{ 17x/24 + 28 = x }[/tex]

[tex]\sf{ 28 = x - (17/24)x}[/tex]

[tex]\sf{ 28 = 24x - 17x/24 }[/tex]

[tex]\sf{28 = 7x/24 }[/tex]

[tex]\sf{ 28 = 7x/24}[/tex]

[tex]\sf{ 7x = 28 × 24}[/tex]

[tex]\sf{ x = 672/7}[/tex]

[tex]\sf{ x = 96\: years}[/tex]

[tex]\sf{\red{ Hence,\: The\: total\: age\: of\: Fred \:is \: 96\: years }}[/tex]

Answer:

45%

Step-by-step explanation:

First, let's set up a fraction of how much money she spent for fruit out of the total amount of money she spent.

[tex]\frac{9}{20}[/tex]

For a percentage, we need a fraction out of 100. To do this, we can multiply  the fraction by 5/5 (5*20=100). Notice we can only do this since 5/5 is equivalent to 1, so you are technically multiplying the fraction by 1.

[tex]\frac{9}{20}*\frac{5}{5}=\frac{45}{100}[/tex]

A percentage is just the numerator of a number over 100 therefore it is equal to...

45%

Rewrite the fractions to have a common denominator:

Juan: 31/7 x 3 = 93/21

Ari: 19/3 x 7 = 133/21

now you can subtract:

133/21 - 93/21 = 40/21 pounds = 1 and 19/21 pounds heavier

Answer:

Step-by-step explanation:

Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for her experiment and after one day, her number of bacteria was equal to 50 to the second power. Choose the statement that is true for the number of bacteria after one day.

Answer:

the answers u need are in the pics  can i get brainlist :(

2 ÷ 1= 2

Steps:

1- Divide

Answer:

8x^2 + 6xy - 5y^2 + 26

Step-by-step explanation:

See attached image.

Answer:

[C] 29 Miles

Step-by-step explanation:

Given that the vessel sails 41 miles S 45° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

[tex]Cos 0= \frac{adj}{hyp}[/tex]

Substituting [tex]0 = 45[/tex]° , [tex]adj = x[/tex], and [tex]hyp = 41[/tex]

Hence, we get,

[tex]cos[/tex] [tex]45 = \frac{x}{41}[/tex]

Simplifying, we have,

[tex]0.71 = \frac{x}{41}[/tex]

Multiplying both sides by 41, we have,

[tex]29.11 = x[/tex]

Rounding off to the nearest integer, we have,

[tex]29 = x[/tex]

Thus, the vessel has sailed 29 miles South.

Therefore, Option C is the correct answer.

[RevyBreeze]

Answer:40

Step-by-step explanation:

Answer:

40 gallons

Step-by-step explanation:

8 minutes x 8 gallons per minute = 64

8 minutes x 3 gallons per minute = 24

64 - 24 = 40

Answer:

17 1/4mph

Step-by-step explanation:

As you can see, Sarah rides her bike 5 3/4 in 1/3 hours. All you need to do is multiply 5 and 3/4 by 3 since it's thirds. 5x3=15. 3/4x3=9/4. 9/4= 2 1/4. 15+2 1/4= 17 1/4mph.