Mike bought 3 iPad minis and one car charger. Altogether he spent $1020.95. The charger cost $24.59. How much did each iPad mini cost?

The number is -9/5

STEP - BY - STEP EXPLANATION

What to find?

The unknown number.

Given:

The product of twice a number and two is the same as the difference of three times the number and 9/5.

Let x be the number.

To solve, we will need to to follow the steps below:

Step 1

Translate the question into an equation.

That is;

Step 2

Simplify the left-hand side of the equation.

Step 3

Collect like term.

Step 4

Simplify the above.

Therefore, the number is -9/5.

Answer:

-28

Step-by-step explanation:

(–7) + (–7) + (–7) + (–7)

=> -7 -7 -7 -7

=> - 28

One true statement about the equation is that if Albert continues to follow his diet and exercise plan, his weight will decrease by 5 pounds per week. Another true statement is that if x is zero, which represents the start of his diet and exercise plan, his weight will be 250 pounds.

An equation is a mathematical statement that shows that two expressions are equal. It typically consists of two sides, a left-hand side and a right-hand side, connected by an equal sign "=". The expressions on either side of the equal sign can be numbers, variables, or combinations of both.

Here,

The equation y = 250 - 5x represents a linear model that describes the relationship between Albert's weight (y) and the number of weeks he has been dieting and exercising (x).

The coefficient of x in the equation is -5, which indicates that Albert is losing weight at a rate of 5 pounds per week. The y-intercept of the equation is 250, which represents Albert's initial weight before he started dieting and exercising.

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Complete question:

Albert is trying to lose weight. He has made a linear model to help him keep track of his weight, y, after x weeks of diet and exercise:

y = 250 - 5x

Which statement is TRUE about the equation?

The equation y = 250 - 5x represents a linear model that describes the relationship between Albert's weight (y) and the number of weeks he has been dieting and exercising (x).

The coefficient of x in the equation is -5, which indicates that Albert is losing weight at a rate of 5 pounds per week.

The y-intercept of the equation is 250, which represents Albert's initial weight before he started dieting and exercising.

Answer:

The area is changing at the point of  \(\mathbf{61200 m^2/year}\)

Step-by-step explanation:

From the given information:

Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w

where;

L = length and w = width of the rectangle

Suppose the Length L is twice the width w

Then L = 2w --- (1)

From The area of a rectangle

A = L  × w

A = 2w  × w

A = 2w²

Taking the above differentiating with respect to time

\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)

At the time t

\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)

Replacing the values back into equation 2, we get:

\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)

\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)

If there are 4 boys and 4 girls , then the number of ways in which

(i) there is no restriction is 40320 ways  ,

(ii) not all girls sit together is 37440 ways  ,

(iii) no two girls sit together is 2880 ways  .

the number of boys in the class is =  4 boys ;

the number of girls in the class is = 4 girls ;

Part(i) ,

we have to find number of ways in which they can sit in a row where there is no restriction .

there are total of 8 persons ,

So ,the number of ways in which 8 persons can be arranged without any restrictions is = 8! ways.

= 40320 ways

Part(ii) ,

we have to find number of ways in which they can sit in a row where not all girls sit together.

the cases where all gets sit together is written as :

= B₁ , B₂ , B₃ , B₄ , G ⇒ 5! ways ;

= B: G₁ , G₂ , G₃ , G₄ ⇒ 4! ways ;

the number of ways all girls are together is = 5! × 4! ;

So , the number of ways not all girls are together is = 8! - 5!×4!  ;

= 37440 ways

Part(iii) ,

we have to find number of ways in which they can sit in a row where no two girls sit together.

this case can be denoted as : G , B₁ , G , B₂ , G , B₃ , G , B₄ .

So , the boys can be arranged in 4! ways ;

and there will be 5 places for 4 girls , which can be arranged in ⁵P₄ ways ;

total number of ways is = 5!×4! =  2880 ways .

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Answer:

107

Step-by-step explanation:

3, 7, 11, 15, 19,

23, 27, 31, 35,

39, 43, 47, 51,

55, 59, 63, 67,

71, 75, 79, 83,

87, 91, 95, 99,

103, 107

32nd term is 107

Answer:

\( {25}^{ \frac{1}{2} } = \sqrt{25} = 5\)

Answer:

48 ounces

Step-by-step explanation:

1 slice= 8 ounces

6 slices×8=48

Answer:

48

Step-by-step explanation:

Answer:

864

Step-by-step explanation:

Answer:

about 130 marbles

Step-by-step explanation:

round 47 to 50

round 76 to 80

you have about 130 marbles

Answer:

About 100.

Step-by-step explanation:

47+76=123

123 is closer to 100 than to 200.

Answer:

Step-by-step explanation:

2(3x + 12y - 5 - 17x - 16y +4)

the 2 outside the bracket means we need to multiply everything by 2

=

6x+24y-10-34x-32y+8

now put all the like-terms together

6x-34x+24y-32y+8-10

now add them together

=-28x-8y-2

now find the HCF

2

put 2 outside the bracket and then divide every number by 2

2(-14x-4y-1)

this is as simplified it can get

The length of the hypotenuse is 7m.

Let the side opposite to 30° be the shortest leg.

The side opposite to 60° is the longest leg.

So, the side opposite to 90° is hypotenuse.

Length of the shortest side is x.

Length of longest side is \(\sqrt{3}x\)

Length of the hypotenuse is 2x.

We know x = 7

So, \(\sqrt{3}(x)=\sqrt{3}(7)\)

Thus, the length of the longer leg is \(\sqrt{3}(7)\) m

Length of hypotenuse = 2x = 2(7) = 14m

\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)

Taking square root on both sides:

\(2x = \sqrt{196}\)

2x = 14

x = 7

Therefore, the length of the hypotenuse is 7m.

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Answer:

$32.50

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

65= 2 hours.

65÷2=32.5

Answer:

The probability is  \(P( X \le 4 ) = 0.0054\)

Step-by-step explanation:

From the question we are told that

   The percentage that are on time is  p =  0.76

   The  sample size is n =  11

Generally the percentage that are not on time is

     \(q = 1- p\)

     \(q = 1- 0.76\)

     \(q = 0.24\)

The  probability that no more than 4 of them were on time is mathematically represented as

        \(P( X \le 4 ) = P(1 ) + P(2) + P(3) + P(4)\)

=>     \(P( X \le 4 ) = \left n } \atop {}} \right.C_1 p^{1} q^{n- 1} + \left n } \atop {}} \right.C_2p^{2} q^{n- 2} + \left n } \atop {}} \right.C_3 p^{3} q^{n- 3} + \left n } \atop {}} \right.C_4 p^{4} q^{n- 4}\)

\(P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{11- 1} + \left 11 } \atop {}} \right.C_2p^{2} q^{11- 2} + \left 11 } \atop {}} \right.C_3 p^{3} q^{11- 3} + \left 11 } \atop {}} \right.C_4 p^{4} q^{11- 4}\)

\(P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{10} + \left 11 } \atop {}} \right.C_2p^{2} q^{9} + \left 11 } \atop {}} \right.C_3 p^{3} q^{8} + \left 11 } \atop {}} \right.C_4 p^{4} q^{7}\)

\(= \frac{11! }{ 10! 1!} (0.76)^{1} (0.24)^{10} + \frac{11!}{9! 2!} (0.76)^2 (0.24)^{9} + \frac{11!}{8! 3!} (0.76)^{3} (0.24)^{8} + \frac{11!}{7!4!} (0.76)^{4} (0.24)^{7}\)

\(P( X \le 4 ) = 0.0054\)

Answer:

-3x -12

Step-by-step explanation:

-6x +3x = -3x

-3-9 = -12

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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Answer:

Step-by-step explanation:

Triangle area formula:

We have:

The area is:

Correct choice is C

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

Then the two numbers are -11 and -6.

Step-by-step explanation:

-11+-6= -17

They are -11 and -6.

-11 + -6 = -17  

-11 x -6 = 66.

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Answer:

adding 12.5

Step-by-step explanation:

12.5 --> 25 through +12.5

25 --> 37.5 through +12.5

37.5+12.5 = 50 = 50

Answer:

You are adding 12.5 every time.

Step-by-step explanation:

12.5+12.5=25

25+12.5= 37.5

37.5+12.5=50

Hope this helps!

It takes Brian 1.5 hours to get home from school

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.

For Brian:

4 = d/t

d = 4t

For Scott:

6 = d / (t - 1/2)

d = 6t - 3

4t = 6t - 3

2t = 3

t = 1.5 hours

Therefore it takes Brian 1.5 hours to get home from school

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Answer:

240 8018

Step-by-step explanation:

two hundred forty eight thousand and eighteen

The length of DF along the new border is 41 feet. The value of x is 8.5. The length of XD is 95 feet.

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Triangular garden patch in his backyard, represented by AEXY.

Border DF that is parallel to XY, where XY/DE = 0.64.

The length of XY on the existing border is 16 feet.

EY = (14x-7.5), YF = (6x), and EX = (12x-7).

We can find the length of DF by using the ratio given in the problem. Since XY/DE = 0.64, we have DE = XY / 0.64 = 16 / 0.64 = 25.

Therefore, the length of DF is 25 + 16 = 41 feet.

To find the value of x, we can use the equations given in the problem. We are told that EY = 14x - 7.5 and YF = 6x, so adding these equations gives us the length of EF = EY + YF = 14x - 7.5 + 6x = 20x - 7.5.

We are also told that EX = 12x - 7, so adding this to EF gives us the length of FX = EX + EF = 12x - 7 + 20x - 7.5 = 32x - 7.5.

We know that FX is the same as DF, so 32x - 7.5 = 41.

Solving this equation for x gives us x = 8.5.

Finally, to find the length of XD, we can use the equation EX = 12x - 7. Substituting in the value of x that we found above, we get :

EX = 12(8.5) - 7 = 102 - 7 = 95.

Therefore, the length of XD is 95 feet.

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The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.

Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.

Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.

Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.

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Adding and subtracting integrals is a fundamental technique in calculus that allows you to combine multiple integrals into a single expression. The process involves using the properties of integrals and the rules of algebra to simplify the expression.

How to add integrals?

To add two integrals, you simply add the integrands and integrate over the same limits of integration. For example, if you have two integrals, ∫f(x) dx and ∫g(x) dx

The sum of the two integrals would be

∫[f(x) + g(x)] dx

How to subtract integrals?

To subtract two integrals, you subtract the integrands and integrate over the same limits of integration. For example, if you have two integrals ∫f(x) dx and ∫g(x) dx

The difference of the two integrals would be ∫[f(x) - g(x)] dx

It's important to note that when adding or subtracting integrals, you must ensure that the limits of integration are the same. If they are not the same, you must first adjust one or both integrals to have the same limits of integration.

Another important point to keep in mind is that the properties of integrals allow you to simplify expressions before integrating. For example, if you have an integral of the form:

∫f(x) dx + ∫g(x) dx

You can simplify it as ∫[f(x) + g(x)] dx

before integrating.

In conclusion, adding and subtracting integrals is a straightforward process that involves using the rules of algebra and the properties of integrals. By following these techniques, you can simplify complex expressions and solve integration problems more efficiently.

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Correct question is "How to add and subtract integrals?"

Answer:

where is your questions

If you need an estimate for #5, then you can round each value to the nearest whole number to have...

Add up those values: 21+21+19+19 = 80

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

Another estimate you could do is to round everything to 20, since we're close to this value. Having four copies of 20 added leads to 20+20+20+20 = 80

So they rode a total estimated amount of 80 miles

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

The actual total is:  21.6+20.9+19.4+18.5 = 80.4 miles, which isn't too far off from 80.