Ann Pablo and Dan have a total of $78 in their wallet ann has 10 more than Dan Pablo has two Times what Dan has how much do they have

Answers

Answer 1

Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34


Related Questions

Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00
donation. If Chloe and Ethan raised the same amount of money, which of the following systems
could be used to find how many candy bars each sold?

Answers

The system that could be used to find how many candy bars each sold is given is option B.

What is the candy bar about?

Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:

e = C - 15

Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:

2C: 2.5e + 6

Therefore, The system that could be used to find how many candy bars each sold is given is option B.

Learn more about candy bars from

https://brainly.com/question/250062

#SPJ1

(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)

Answers

Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

SEE QUESTION IN IMAGE

Answers

Answer:

(b)

Total frequencies:

25 - 4 = 21

Multiples of 3 or 5:

6, 9, 10, 12, 15, 18, 20, 21, 24, 25 - total of 10

Required probability:

P(3x or 5x) = 10/21

(c)

Limes = 10 + 6 = 16Apples = 8 + 6 = 14Total = 16 + 14 = 30

(i) Good limes = GL = 10

P(GL, GL) = 10/30*9/29 = 3/29

(ii) Good fruits = GF = 10 + 8 = 18

P(GF, GF) = 18/30*17/29 = 51/145

(iii) Good apple = GA = 8, Bad lime = BL = 6

P(GA&BL or BL&GA)) = 8/30*6/29 + 6/30*8/29 = 16/145

Help me please Will give brainlist

Answers

Answer:

Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]

Help please urgent 25 point

Answers

Answer:

60

Step-by-step explanation:

b = the hypotenuse of a right angle triangle

a = the adjacent side.

R is being defined by the cosine

cos(R) = adjacent /  hypotenuse

adjacent = 16* sqrt(2)

hypotenuse = 32*sqrt(2)

Cos(R) = 16*sqrt(2) / 32*sqrt(2)      sqrt(2) cancels.

cos(R) = 1/2

R = cos-1(1/2)

R = 60 degrees.

how many subsets can be formed of a set A={a,b}​

Answers

Answer:

4

Step-by-step explanation:

(a,a),(a,b),(b,a),(b,b)

5.
Krishna got on an elevator on the 12" floor and went up 3 floors. If he then went down 8 floors,
what floor is krishna now on?​

Answers

Answer:

Krishna is at the 7th floor

Step-by-step explanation:

Given

[tex]Start = 12[/tex]

[tex]Up = 3[/tex]

[tex]Down = 8[/tex]

Required

The current floor

This is calculated as:

[tex]Floor = Start + Up - Down[/tex]

[tex]Floor = 12 + 3 - 8[/tex]

[tex]Floor = 7[/tex]

HELP PLEASE 100 POINTS

Answers

Answer:

Step-by-step explanation:

That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.

The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2

Since it  upside down, the formula is y = -(x - a)^2. A couple of other things are true.

a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.

Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2

That's all preliminary. The actual question is, what does the discriminate look like?

y = -4(x^2 - 2x + 1)

y = -4x^2 + 8x - 4

a = - 4

b = 8

c = - 4

sqrt(b^2 - 4ac)

sqrt(8^2 - 4(-4)(-4) )

sqrt(64 - 64) = 0

The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.

Please help! Thank you.

Answers

Answer:

B

Step-by-step explanation:

x((7/2)-(7/3))=y+x

x(7/6)=y+x

7x=6y+6x, x=6y. y/x=1/6

help me please it's important!!​

Answers

Answer:

Does the answer help you?

Answer:

102 cm³

Step-by-step explanation:

Volume of R1:

length = 7 cm

Width = 3 cm

Height = 2 cm

Volume = 7* 3  * 2 = 42 cm³

Volume of R2:

length = 5 cm

Width = 4 cm

Height = 3 cm

Volume = 5 * 4 * 3=  60 cm³

Volume of the figure = 42 + 60 =  102 cm³

Given that E=MC find E when M=20 and C =2.5

Answers

Answer:

50 or 125

Step-by-step explanation:

if u want E=MC then it would be 20 ×2.5=50

OR

if u what to find E=MC² then it would be 20×2.5×2.5 =125

ACCORDING TO ME THIS SHOULD BE THE ANSWER, BUT NOT QUITE SURE ABOUT THIS.

Answer:

E = 50

Step-by-step explanation:

If M=20 and C=2.5, replace the letters in the equation with their numerical values so E=20*2.5

20*2.5 = 50

thus E=50

x^2= 14x +11
------------

Answers

Answer:

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^{2} =14x+11[/tex]

[tex]x^{2} -14x-11=0[/tex]

[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]

[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]

[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]

[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

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

OAmalOHopeO

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

Answer:

Solution given:

x²=14x+11

keeping all term on same side

x²-14x-11=0

trying to make it a perfect square

x²-2*7*x+7²-7²-11=0

By using formula of (x-y)²=x²-2xy+y²we get

(x-7)²-60=0

keeping 60 in right side

(x-7)²=60

doing square root on both side

[tex]\frac{(x-7)²}=\sqrt{60}[/tex]

we get

x-7=[tex]\sqrt{5*3*2*2}[/tex]

x-7=±2[tex]\sqrt{15}[/tex]

So

x=7±2[tex]\sqrt{15}[/tex]

Either

x=7+2[tex]\sqrt{15}[/tex]

or

x=7-2[tex]\sqrt{15}[/tex]

which has a steeper slope y-1/2x or y=2/3x?

Answers

Answer:

y=2/3x

Step-by-step explanation:

2/3 is greater than 1/2. It doesn't matter if one of the slopes are negative.

(52)-1 + 5÷1
Answer please..​

Answers

Answer:

I believe this might be the answer 52 − 1 + 5/1= 56

Answer:

56

Step-by-step explanation:

hope it helps ^^.

equation of the line which passes through point (0,5) at gradient of - 1​

Answers

Answer:

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5

y = - x + 5 ← equation of line

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar
HELP HELP

Answers

Answer:

Hello,

Step-by-step explanation:

f(x)=x+3 if -3≤x≤-1

(the line is passing trough (-3,0) and (-1,2) ==> y-0=(x+3)((2-0)/(-1+3) ==> y=x+3

f(x)=5 if -1≤x≤1

Which equation below has a slope greater than the slope of the line shown above?
A. y = 2 x + 2
B.y = 3x - 1
C. y = - 3
D. y = 4 + 1.75 x​

Answers

Answer:

B.y = 3x - 1

Step-by-step explanation:

Pick two points on the line

(0,1) and (2,5)

The slope using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 5-1)/(2-0)

  = 4/2

  = 2

We want a slope that is greater than 2

The slope intercept form of the equation is

y = mx+b where m is the slope

y = 3x - 1  has a slope of 3 which is greater than 2

Let vector a = 3i + j - k.

Find the vector b in the direction of vector a such that |b| = 5

Answers

Answer:

5i +(5/3)j - (5/3)k

Step-by-step explanation:

Vector b is in the same direction as vector a, so it is a scalar multiple of a.

b = ca for some positive real number c.

b = c(3i + j - k) = 3ci + cj - ck

|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c

If |b| = 5, then 3c = 5 and c = 5/3

That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k

What is the range of f(x)?
{xl-2 {x|-2 {yl-5 {yl-5 sy<-1}

Answers

Answer:

-5≤y≤-1

Step-by-step explanation:

The range is the values that y takes

The smallest value of y is -5 and the largest value of y is -1

-5≤y≤-1

Question 7 of 10
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 5 feet and the sides have a length of 12 feet. He also
measured one diagonal to be 13 feet. What is the length of the other
diagonal?
O A. 12 feet
B. 13 feet
O C. 5 feet
O D. 17 feet

Answers

Answer:

13

Step-by-step explanation:

The diagonals of rectangle are equal in length.

13. The diagonal is the same either way

Find the length of UC? Please help

Answers

Answer:

The choose C. 18

Step-by-step explanation:

UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18

I hope I helped you^_^

the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?

wt = ____

Answers

Answer:

w = 15 (4^t)

Step-by-step explanation:

Let w be what the function is equal to

Let t be the input variable

equation :

w = k a^t

Plug in any two of the points to solve for k and a

for example, let's take (1, 60) and (2, 240):

60 = k * a^1

k = 60 / a

240 = k a^2

Substituting:

240 = 60/a (a^2)

a = 4

k = 15

The function is

w = 15 (4^t)

0.135 written as a fraction is _____.

27/200
5/37
27/100

Answers

Answer:

27/200

Step-by-step explanation:

To write 0.135 as a fraction you have to write 0.135 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.135 = 0.135/1 = 1.35/10 = 13.5/100 = 135/1000

Answer:

27/200

Step-by-step explanation:

your teacher tried to be tricky.

0.135 is simply 135/1000.

that is how you can express any finite decimal number.

anyway, now, we need to transform that fraction into one of the provided fractions. so, which one fits ?

with experience you see it right away. otherwise by simply trying.

in any case, the first option is the right one.

proof :

27/200 = 135/1000 ?

the denominator is our driver : what factor do I need to turn 200 into 1000 ? right, 5 ! 200×5 = 1000

so, we multiply numerator and denominator by 5 (it is important to do that for both, so that the value of the fraction does not change).

27/200 × 5/5 = (27×5) / (200×5) = 135/1000

and that is the proof. 27/200 is indeed 0.135

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.


0.5

0.13

5

0.38

Answers

Answer:

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

P(RnG) = 5

[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]

Therefore:

[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]

The conditional relative frequency = 0.385

The conditional relative frequency will be  0.385

What is Baye's theorem?

It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]

P(RnG) = 5

P(G) = ∑(Green hairs)

P(G)= 13+5+5 = 13

Therefore:

[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]

The conditional relative frequency = 0.385

Hence the conditional relative frequency will be  0.385

To know more about Baye's theorem follow

https://brainly.com/question/14989160

#SPJ2

Fill in the blanks to write a verbal description

Answers

Answer:

Step-by-step explanation:

17.

The expression 4(x-7) is the product of 4 and the difference of x and 7.

18.

The expression 2+8/c is the sum of 2 and the quotient of 8 and c.

use the prime factors of 3136 and 2744 to evaluate:✓3136/3✓2744​

Answers

Answer:

3136 = 2^6 × 7^2

2744 = 2^3 x 7^3

✓3136/3✓2744​ = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14

The distance AB rounded to the nearest tenth = [?]

Answers

Answer:

4.5 units

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{16+4}=\sqrt{20}[/tex]

The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Meaning of Distance

Distance can me defined as a measure that tells us how far apart two objects or individual are to each other.

Distance is very important as it helps us know where exactly things are located and whether they are close or  far apart

In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Learn more about Distance: https://brainly.com/question/17273444

#SPJ2

Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.

Given all of this information, answer the following questions:

1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?

2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)

3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)

Answers

Answer:

27,880 for tutitions + 45,280 for room and board= 73,160 total

assume abc=def. if ab=5, ac=9 and ef=7, what is the length of bc?​

Answers

Answer:

bc=  7

Step-by-step explanation:

HELP!!!
I need to know if this is Function or not a function.

Answers

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

Other Questions
Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linearly independent solutions to the corresponding homogeneous equation for t > 0. ty'' + (2t - 1)y' - 2y = 7t2 e-2t y1 = 2t - 1, y2 = e-2t The income from operations and the amount of invested assets in each division of Beck Industries are as follows: Income from Operations Invested Assets Retail Division $5,400,000 $30,000,000 Commercial Division 6,250,000 25,000,000 Internet Division 1,800,000 12,000,000 a. Compute the return on investment for each division. A weight clinic recorded the weight lost (in pounds) by each client of a weight control clinic during the last year, and got the following data: 35, 26, 31, 17, 46, 30, 28, 21, 26, 34, 15, 27, 7, 18, 16, 57 Assume you created the frequency grouping in intervals of 10 starting at 1. What is the percentile in the next to highest group What role do you think the Panama Canal will play in the United States' future militaristic endeavors? what is the difference between the book and videos 18x-108-----------6x-54simplify the expressionA. B. C. D. calculate the final pressure of a gas that is expanded from 725cm at 30C and 1.19 atm to 1.12cm at 43C How many kingdoms are in the modern system of classification? Exam V Psych 2317 Name: _____________________________Attention: Read carefully each sentence and choose the best answer (2 points each)1) While comparing a sample to a population, which design is appropriate?A) One sample t test B) Related samples t-test C) Independent samples t-test D) ANOVA2) While comparing two samples of different individuals, which research design is appropriate?A) One sample t test B) Related samples t-test C) Independent samples t-test D) ANOVA3) While comparing the same individuals two times, which research design is appropriate?A) One sample t test B) Related samples t-test C) Independent samples t-test D) ANOVA4) While comparing three samples of different individuals with an interest in one variable, which design is appropriate? The image of an object placed 30cm from a diverging lens is formed 10cm in front of the lens. Calculate the focal length of the lens. a suit is on sale for 15% off. the sale price is $442. what is the regular price? Draw a Punnett Square to show Queen Victoria and her husband Albert. Queen Victorias genotype will be XX^H and Albert will be XY. X^H indicates the female sex chromosome carrying the gene for hemophilia. Heather wants to start a business. She has two products to sell, and knows it takes her adifferent amount of time to make each. It takes her 1.5 hours to make each frame (f),and 2.25 hours to make each canvas (c). She is planning to work for 40 hours on theseprojects this week. Write the equation that represents this relationship. Hands moving on a battery-operated clock is an example of what kind ofenergy conversion?A. Heat energy being converted to gravitational potential energyB. Gravitational potential energy being converted to heat energyC. Chemical potential energy being converted to kinetic energyD. Kinetic energy being converted to chemical potential energy Due to a sale at Macy's you only have to pay 2/3 of the original price of a blouse. your price AFTER the discount $120. What was the original price? Explain how you arrived at this answer. please help me now I need it please this is calculuse how does good character affect human life The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.y+2=-2(x-5)What is the equation in slope-intercept form?O y=-2x+12O y=-2x+8O y=-22-7O y=-2x-3Savait Predict what will happen to the concentration of pyruvate, NADH and H+ when the Krebs cycle is stopped by arsenic Newspapers often talk about an energy crisis-about running out of certain energy sources in the not-so-distant future. About which kind of energy sources are they talking