Our oranges and 5 apples cost 3.56$ Three oranges and four apples cost $2.76.Find the cost of an orange and the cost of an apple

Answer:

The first one is correct the rest are not

Step-by-step explanation:

I don't know if you need an explanation or not.

Answer:

it 1,2,and 4 just took it

Step-by-step explanation:

Answer:

I am 42 years old

Step-by-step explanation:

Given : In 2 years i will be twice as old as i was 20 years ago.

To Find : Current age

Solution :

Let the current age be x years.

After two years i will be (x+2) years

20 years ago i was (x-20)years

Since we are given that in 2 years i will be twice as old as i was 20 years ago.

⇒[tex]x+2 = 2 (x-20)[/tex]

⇒[tex]x+2 = 2x-40[/tex]

⇒[tex]40+2 = 2x-x[/tex]

⇒[tex]42 = x[/tex]

Thus my current age 'x' = 42 years.

Hence i am 42 years old

Answer: Probability that a student chose at random likes science given that he or she likes art is 58%.

Step-by-step explanation:

Since we have given that

Probability that a student at certain high school likes art =[tex]P(A)[/tex] = 36%

Probability that a student who likes art also likes science= [tex]P(A\cap S)[/tex]  = 21%

We need to find the value of probability that a student chosen at random likes science given that he or she likes art.

As we know the formula for "Conditional Probability" :

[tex]P(S\mid A)=\frac{P(A\cap S)}{P(A)}\\\\P(S\mid A)=\frac{21}{36}\\\\P(S\mid A)=0.58\\\\P(S\mid A)=58\%[/tex]

Hence, Probability that a student chose at random likes science given that he or she likes art is 58%.

Answer with explanation:

A= Art

S= Science

P(A)= 36%

P (A ∩ S)=21%

We have to find ,[tex]P(\frac{S}{A})[/tex].

[tex]P(\frac{S}{A})=\frac{P(S\cap A)}{P(A)}\\\\P(\frac{S}{A})=\frac{\frac{21}{100}}{\frac{36}{100}}\\\\P(\frac{S}{A})=\frac{21}{36}=\frac{7}{12}[/tex]

In terms of Percentage , Required Probability

  [tex]=\frac{7}{12}\times 100\\\\=58.34[/tex]

= 58.34 %

[tex]\text{The explicit rule of geometric sequence}\\\\a_n=a_1 r^{n-1}\\------------------------------\\\text{We have the recursive form}\ a_1=3,\ a_n=\dfrac{1}{2}\cdot a_{n-1}.\\\\\text{Therefore}\ r=\dfrac{1}{2}.\ \text{Substitute:}\\\\\boxed{a_n=3\left(\dfrac{1}{2}\right)^{n-1}}[/tex]

When the order of something happens it is a permutation.

There are a total of 52 cards and you want to pick 2 different cards.

The equation for this is:

52! / (52 - 2!)

Simplified becomes 52! / 50!

Answer = 2,652 ways.

To find the number of ways to pick two different cards from a deck where order matters, we calculate the permutations, resulting in 52 times 51, which equals 2652 ways.

The question asks for the number of ways to pick two different cards from a standard deck of 52 cards considering that the order of selection matters. To calculate this, we use permutations. For the first card, there are 52 options; for the second card, since one card has already been picked, there are 51 options left. The number of permutations for two cards from a deck of 52 is therefore calculated as 52 × 51. This results in 2652 different permutations or ways to select two different cards where order is significant.

Answer:

values of j are: 2 , -1

Step-by-step explanation:

In the given case, The solutions are j = -4 and j = 1, and the solution set is  {-4, 1}.

The given equation is:

j+4/j+2=2−1/j

We can solve for j by cross-multiplying:

(j+4)(j) = (j+2)(2-1/j)

Expanding the left side and right side, we get:

[tex]j^2 + 4j = 2j + 4 - 2/j[/tex]

Moving all the terms to the left side of the equation, we get:

[tex]j^2 + 2j - 4 = 0[/tex]

We can factor the left side of the equation as:

(j+4)(j-1) = 0

Therefore, the solutions are j = -4 and j = 1.

Note that the given equation is defined when j ≠ 0 and j ≠ -2. Therefore, the solutions are j = -4 and j = 1, and the solution set is  {-4, 1}.

Here is a step-by-step solution:

n first move the constant term to the right side of the equation.

j² + 2j = 4

We can then factor the left side of the equation.

(j+4)(j-1) = 0

The solutions are j = -4 and j = 1.

We check that these solutions are valid by substituting them back into the original equation.

j+4/j+2=2−1/j

When j = -4, the left side of the equation is 0/-2 = 0, and the right side of the equation is 2 - 1/-4 = 2 + 0.5 = 2.5.

The equation is satisfied.

When j = 1, the left side of the equation is 5/3, and the right side of the equation is 2 - 1/1 = 2 - 1 = 1. The equation is satisfied.

Therefore, the solutions are j = -4 and j = 1, and the solution set is  {-4, 1}.

Learn more about solving equations here:

https://brainly.com/question/19297665

#SPJ3

Answer:

think 5 meters

Step-by-step explanation:

Answer:

The diameter at the center of the tower is 4 meters. The center of the tower is 8 meters above the ground.

Step-by-step explanation:

4x^2-y^2+16y-80=0

Completing squares in variable "y": Common factor -1:

4x^2-(y^2-16y)-80=0

4x^2-[(y-16/2)^2-(16/2)^2]-80=0

4x^2-[(y-8)^2-(8)^2]-80=0

4x^2-[(y-8)^2-64]-80=0

Eliminating the brackets:

4x^2-(y-8)^2+64-80=0

Adding like terms (constants):

4x^2-(y-8)^2-16=0

Adding 16 both sides of the equation:

4x^2-(y-8)^2-16+16=0+16

4x^2-(y-8)^2=16

Dividing all the terms by 16:

4x^2/16-(y-8)^2/16=16/16

Simplifying:

x^2/4-(y-8)^2/16=1

The hyperbola has the form:

(x-h)^2/a^2-(y-k)^2/b^2=1

Then:

h=0

k=8

a^2=4→sqrt(a^2)=sqrt(4)→a=2

The diameter (d) at the center of the tower is:

d=2a→d=2(2)→d=4 meters

The center of the tower is 8 (k) meters above the ground.

Answer:

(3,1)

Step-by-step explanation

All you have to do is change the y-coordinate to its opposite. Ex- (-2,3) coordinates of reflection. (-2,-3)

Answer:

[tex]x^{3} +3x^{2}-9x+5 = 0[/tex]

Step-by-step explanation:

We are given that the only roots of the given polynomial f(x) are 1 and -5 with multiplicity (the number of times the roots are repeating) 2 and 1 respectively.

Also, it is provided that the function satisfy that f(x)=0.

So, comparing the two information we have that,

f(x) = 0 and 1, -5 are the roots of f(x),

i.e [tex](x-1)^{2} \times (x+5) = 0[/tex]

i.e. [tex](x^{2} +1-2x) \times (x+5) = 0[/tex]

i.e. [tex]x^{3} +3x^{2}-9x+5 = 0[/tex]

Also, we can see that ths polynomial has leading co-efficient 1 i.e. the co-efficient of highest degree variable i.e. x^{3}.

Hence, the polynomial having leading co-efficient 1 and roots 1, -5 is [tex]x^{3} +3x^{2}-9x+5 = 0[/tex].

Answer: w ≤ 14 cm , L ≤ 42 cm

Step-by-step explanation:

width (w): w

Length(L): 3w

Perimeter (P) = 2w + 2L

P ≤ 112

 2w +   2L   ≤ 112

2(w) + 2(3w) ≤ 112

 2w +   6w   ≤ 112

       8w        ≤ 112

         w        ≤ 14

Answer:

C. mass = force / accellaration

Step-by-step explanation:

Answer:

68 m^2

Step-by-step explanation:

Area of The entire enclosure ( rectangle)

Area of the triangle

Area of the Trapezoid

Formula

Solution

Area of the Lawn

Answer: No solutions

The two lines are parallel. They never intersect. You need a point of intersection to have a solution. Note how the lines have the same slope (2) but different y intercepts (3 and -4). This fact backs up the idea the lines are parallel.

The system has no solution, so we consider this system to be inconsistent. If we were to convert each equation into standard form, then we would have 2x-y = -3 and 2x-y = 4. If we made z = 2x-y, then z = -3 and z = 4 at the same time; but z is only one number at a time. This is one way to see the inconsistency.

by the transitive property of equality

Answer:

the transitive property of equality

Step-by-step explanation:

[tex]a_n=72\left(\dfrac{1}{3}\right)^{n-1}\\\\\text{Put}\ n=1,\ n=2,\ n=3,\ n=4,\ n=5\ \text{to the equation}:\\\\n=1\to a_1=72\left(\dfrac{1}{3}\right)^{1-1}=72\left(\dfrac{1}{3}\right)^0=72(1)=72\\\\n=2\to a_2=72\left(\dfrac{1}{3}\right)^{2-1}=72\left(\dfrac{1}{3}\right)^1=72\left(\dfrac{1}{3}\right)=\dfrac{72}{3}=24\\\\n=3\to a_3=72\left(\dfrac{1}{3}\right)^{3-1}=72\left(\dfrac{1}{3}\right)^2=72\left(\dfrac{1}{9}\right)=\dfrac{72}{9}=8\\\\n=4\to a_4=72\left(\dfrac{1}{3}\right)^{4-1}=72\left(\dfrac{1}{3}\right)^3=72\left(\dfrac{1}{27}\right)=\dfrac{72}{27}=\dfrac{8}{3}\\\\n=5\to a_5=72\left(\dfrac{1}{3}\right)^{5-1}=72\left(\dfrac{1}{3}\right)^4=72\left(\dfrac{1}{81}\right)=\dfrac{72}{81}=\dfrac{8}{9}\\\\Answer:\ \boxed{72,\ 24,\ 8,\ \dfrac{8}{3},\ \dfrac{8}{9}}[/tex]

Answer:

The first five terms are as follows:

72, 24, 8, 2.66, 0.88

Step-by-step explanation:

1) Explicit formula:

[tex]72 * 1/3^{n-1}[/tex]

2) Simply replace "n" with 2,3,4 and 5 in order to find the numbers associated with these terms.

a(1) = 72

a(2) = 24

a(3) = 8

a(4) = 2.66

a(5) = 0.88

Note:

In the explicit formula the first term is already provided, so you do not have to find the first term if it has already been given.

Answer: Choice C) Harold

Darren is correct because he subtracted c from both sides

Julie is correct because she multiplied both sides by H, and then divided both sides by L

Brenda is correct because she multiplied both sides by r

Harold is not correct. We can see this with a counter example. If A = 7 and h = 1, then the first equation Harold wrote leads to b = 14. Now plug those same values into the second equation and we get h = 2b/A turning into 1 = 2*14/7 and that simplifies to 1 = 4, which is a false statement. This contradiction is one example why the two equations Harold wrote aren't equivalent.

Answer:

C.

Step-by-step explanation:

Juile, Brenda, and Darren are all incorrect.

Answer:

11x^2 - 11x - 6

Step-by-step explanation:

I'm guessing you mean:

(10x^2 - x + 1 ) + (x^2 - 10x - 7)

First you combined like terms:

Such as :

10x^2 + x^2

-x - 10x

1 - 7

There's your answer.

11x^2 - 11x - 6

Answer:

1000*(1,025)=1025 $ the 1st year

After 4 years, the account will be 4* 1025=4100

Answer:

Amount after 4 years = 1000+100=$1100

Step-by-step explanation:

To solve this, we will simply use the simple interest formula;

S.I = PRT/100

where p=principal

R=rate   and   T= time

S.I = simple interest

From the question

Principal=$1000

Rate = 2.5    and time=4

We can now proceed to inert the values into the equation

S.I = 1000×2.5×4   /100

Two zeros at the numerator will cancel-out the two zeros at the denominator, Hence;

S.I = 10×2.5×4

S.I =$100

Amount after 4 years = 1000+100=$1100

Answer: options b and c

Step-by-step explanation:

∠ACD is supplementary to ∠ACE  given

∠ACD is supplementary to ∠BCD   given

⇒ ∠ACE is supplementary to ∠BCD   transitive property

∠ACD ≅ ∠BCE   given

⇒ ∠BCE is supplementary to ∠ACE  substitution

and ∠BCE is supplementary to ∠BCD   substitution

********************************************************************************

multiple choice options:

a) ∠ACE is supplementary to ∠BCD    False

b) ∠BCE is supplementary to ∠ACE    TRUE

c) ∠BCD is supplementary to ∠BCE    TRUE

d) ∠ACE ≅ ∠BCE                                   False

e) ∠BCD ≅ ∠ACE                                   False

Answer:

D. [tex]x=3[/tex]

Step-by-step explanation:

We have been graph of two functions on coordinate plane. We are asked to find the input value that produces the same output value for the two functions.

To find the input value that produces the same output value for the two functions, we need to find x-value for which both functions has same y-value.

Upon looking at our given graph, we can see that at [tex]x=3[/tex], the value of both functions is [tex]-1[/tex].

Therefore, our required input value is [tex]x=3[/tex] and option D is the correct choice.

Answer:

16 KMH is the correct answer

Step-by-step explanation:

Answer: the number of students participating this year is 57.

Step-by-step explanation:

5% of 60 is 3.

60-3=57

I believe this is correct :)

Answer: Number of students participated this year = 57

Step-by-step explanation: Number of student participated  last year = 60

                                          Decreased by 5%

                                          Decreased in number = 5% of 60 = 0.05x 60 =3

    Number of Students this year = Number of student last year - decreased

                                                        =               60    -   3

                                                        =  57

Answer:2/9

Step-by-step explanation:

If you count the lines form zero like 0/9 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 then 1 is the whole so that would be 9/9

Answer:

2/9 is the answer

Answer:

x = ln (7/5) - 2

Step-by-step explanation:

4+5e^(x+2)=11

Subtract 4 from each side

4-4+5e^(x+2)=11-4

5e^(x+2)=7

Divide by 5 on each side

5/5e^(x+2)=7/5

e^(x+2)=7/5

Take the natural log on each side

ln (e^(x+2))= ln (7/5)

x+2    = ln (7/5)

Subtract 2 from each side

x = ln (7/5) - 2

Answer:

option 1

Step-by-step explanation:

Answer:

Step-by-step explanation: max is already 3 times older than max. 6*3=18 and 6+12=18

Final answer:

Max cannot be 3 times as old as Leo based on the given information.

Explanation:

To find out how many years it will be until Max is 3 times as old as Leo, we can set up an equation.

Let's assume that it takes x years for Max to be 3 times as old as Leo.

So, Max's age in x years will be 12 + x, and Leo's age in x years will be 6 + x. According to the problem, Max will be 3 times as old as Leo, so we can write the equation as: 12 + x = 3(6 + x).

To solve for x, we can start by simplifying the equation: 12 + x = 18 + 3x. Now, let's isolate the variable x by moving all the x terms to one side and the constant terms to the other side. Subtracting x from both sides gives us: 12 = 18 + 2x. Subtracting 18 from both sides gives us: -6 = 2x. Finally, dividing both sides by 2 gives us: -3 = x.

This means that it will take -3 years for Max to be 3 times as old as Leo. However, since time cannot be negative, we can conclude that it is not possible for Max to be 3 times as old as Leo based on the given information.

Answer:

Option a is correct

given data in the table represents an exponential function

The possible formula for the function is, [tex]y = f(x) = 12.5 (1.10)^x[/tex]

An exponential function is in the form of [tex]f(x) = ab^x[/tex] where a is the initial value and b ≠ 0 ,  b> 1.

Consider any two points from the table as shown;

(0, 12.5) and (1, 13.75)

Substitute these in [1] we have;

For (0, 12.5)

where x = 0 and f(x) = 12.5 in [1]

[tex]12.5 = ab^0[/tex]

12.5 = a

For (1, 13.75)

[tex]13.75 = ab^1[/tex]

13.75 = ab

Substitute the value of a =12.5 we have;

13.75 = 12.5b

divide both sides by 12.5 we get;

[tex]b = \frac{13.75}{12.5} = 1.10[/tex]

since, y =f(x)

therefore, we have the following exponential function as:

[tex]y= 12.5 (1.10)^x[/tex]

Answer:

Step-by-step explanation:

At a sales rate of 56 boxes of gummy bears per week, the movie theater will sell

= 56 × 6

= 336 boxes

This is on the assumption that the rate is sustained.

At that rate (of 56 boxes per week), the company (movie theater) would have sold 336 boxes.