How do you do 5+5?
I'm serious!
I don't know how to add 5 and 5!
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Each t-shirt costs $15, and each pair of gym shorts costs $16.

Let's call the cost of each t-shirt "x". Then the cost of each pair of gym shorts is x + $1.

We know that the total cost of the t-shirts is 5 * x, and the total cost of the gym shorts is 2 * (x + $1).

We also know that the total cost of all items is $107, so we can write an equation to represent this information:

5x + 2(x + $1) = $107

5x + 2x + 2 = $107

7x + 2 = $107

7x = $105

x = $15

So, each t-shirt costs $15, and each pair of gym shorts costs $15 + $1 = $16.

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12.5 Step-by-step explanation: My friend helped me

The length of Kelly's old snowboard is 125 cm long.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For this case, let we suppose that:

x = length of Kelly's old snowboard (in cm)

Then, as we know that: new snowboard is 120% longer than her old snowboard, thus:

\(\dfrac{x}{100} \times 120 = \text{Length of new snowboard} = 150\)

or

\(\dfrac{x}{100} \times 120 = 150\\\\\text{Multiplying 100/120 on both the sides}\\\\x \times \dfrac{120}{100} \times \dfrac{100}{120}= 150 \times \dfrac{100}{120}\\\\x \times 1 = x = \dfrac{150 \times 100}{120}\\\\x = \dfrac{15000}{120} = 125 \: \rm cm\)

Thus, the length of Kelly's old snowboard is 150 cm long.

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Answer:

Hi there!

Your answers are:

a) x= 10

b) x= 4

c) x= 2

Step-by-step explanation:

a) 5+2x=25

-5

2x= 20

/2

x= 10

Plug back in!

5+2(10)= 25

5+20=25

25=25✓✓✓

b) 14= 5x-6

+6

5x= 20

/5

x= 4

14= 5(4)-6

14= 20-6

14=14✓✓✓

c) 15= 4x+7

-7

8= 4x

/4

2=x

15= 4(2)+7

15= 8+7

15= 15✓✓✓

Hope this helps!

Answer:

If you are asking to factorise..

Step-by-step explanation:

=> 5x² + 28x + 15

=> 5x² + (25+3)x + 15

=> 5x² + 25x + 3x + 15

=> 5x(x + 5) + 3(x + 5)

=> (x + 5)(5x + 3)

Answer:

5x² +28x+15

5x² +25x+3x+15

5x(x+5)+3(x+5)

(x+5)(5x+3)

Answer:

Both angles are equal to 41 degrees, x=18

Step-by-step explanation:

These to angles are corresponding angles. (I think)

But what you need to do is set them equal to each otehr since they are both congruent angles. 2x+5=3x-13

Once you solve for x, which is 18, you just input them into the equations, and both end up being 41 degrees.

The statement that the sum of two orthonormal matrices U and V is also orthonormal can be rejected. The sum of matrices does not preserve the orthonormality property, and therefore, it cannot be concluded that the sum of U and V is orthonormal.

To prove or reject the statement, let's consider two orthonormal matrices U and V of size nxn. The orthonormality property implies that the columns (or rows) of the matrices are orthogonal to each other and have unit length.

Now, let's examine the sum of U and V, denoted as S = U + V. The columns (or rows) of S are the sums of corresponding columns (or rows) of U and V. While the columns (or rows) of U and V individually satisfy the orthonormality property, the sum of their columns (or rows) may not preserve this property.

In general, the sum of two vectors is orthogonal only if the vectors are orthogonal to each other. However, the sum of two unit vectors is not necessarily a unit vector. Therefore, we cannot conclude that the sum of U and V is orthonormal.

Hence, we reject the statement that the sum of U and V is also orthonormal.

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The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

1 st car is your answer to the question

Answer:

Im sorry for you this is too complex

Answer:

1/4

Step-by-step explanation:

2 divided by 8 is .25 which is equal to 1/4

Answer:

7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

\(y=\frac{1}{6}x + 1\)

Step-by-step explanation:

12y - 2x= 12

12y= 2x + 12

/12          /12

y = 1/6x +1

In conclusion Since the coefficient a can be any nonzero constant, there are infinitely many possible graphs of f(x) that satisfy the given conditions.

How to find?

Since the zeros of the polynomial function are 3 - i/4 and 3 + i/4, we know that the function can be factored as:

f(x) = a(x - 3 + i/4)(x - 3 - i/4)

where a is a constant.

To simplify the expression, we can multiply the two factors in the parentheses:

f(x) = a[(x - 3)²2 - (i/4)²2]

Now, we can use the fact that i²2 = -1 to simplify further:

f(x) = a[(x - 3)²2 + 1/16]

This is the vertex form of a quadratic function with vertex (3, 1/16) and minimum value 1/16. Since the coefficient a can be any nonzero constant, there are infinitely many possible graphs of f(x) that satisfy the given conditions.

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Answer:

4

Step-by-step explanation:

Answer: I think it's 20?

Step-by-step explanation:

we have problem  A done

Card A- 145-3.50x

Card B- 125-3x

Solve for X

145-3.50x=125-3x

145-125=3.50x-3x
20=.5x

Divide by .5

X=40

plug in 40 to x so

Card A 145-3.50(40)

Card B 125-3(40)

You will get $5

Problem 2 is done.

Answer:

false

Step-by-step explanation:

Answer:

360 square inches

Step-by-step explanation:

12*15 = 360

Answer:

360 square inches^^^^^^

Step-by-step explanation:

the person above is correct

Equal steps mean each number is the same distance from the previous one

From -2 to 28 is 28 units

There are 4 spaces between the numbers

28/4 = 7

Each number is in increase of 7

-2 + 7 = 5

5+7 = 12

12+7 = 19

19+7 = 26

The third number would be 12

the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

Given Rational Equation

:

$\frac{4x - 1}{12} = \frac{11}{12} x$

We have to solve the above rational equation.So, let's solve it.

First of all, we will multiply each term of the equation by the LCD (Lowest Common Denominator), in order to remove

fractions from the equation.So, the LCD is 12

.Now, multiply 12 with each term of the equation.

$12 × \frac{4x - 1}{12} = 12 × \frac{11}{12}x$

Simplify the above equation by canceling out the denominator on LHS

.4x - 1 = 11x

Solve the above equation for x

Subtract 4x from both sides of the equation.-1 = 7x

Divide each term by 7 in order to isolate x. $x = -\frac{1}{7}$

Hence, the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

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The solution to the rational equation is \($x = 3$\).

To solve the rational equation \($\frac{4x - 1}{12} = \frac{11}{12}$\) for \($x$\), we can follow these steps:

1. Start by multiplying both sides of the equation by 12 to eliminate the denominator: \($(12) \cdot \frac{4x - 1}{12} = (12) \cdot \frac{11}{12}$\).

2. Simplify the equation: \($4x - 1 = 11$\).

3. Add 1 to both sides of the equation to isolate the variable term: \($4x - 1 + 1 = 11 + 1$\).

4. Simplify further: \($4x = 12$\).

5. Divide both sides of the equation by 4 to solve for \($x$\): \($\frac{4x}{4} = \frac{12}{4}$\).

6. Simplify the equation: \($x = 3$\).

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To find 20% of 80 grams using a percent bar, divide the bar into 10 equal parts, shade in two parts to represent 20%, and find the weight represented by the shaded part. In this case, 20% of 80 grams is 16 grams.

To find 20% of 80 grams using a percent bar

Draw a horizontal bar and divide it into 10 equal parts.

Shade in two of those equal parts (since we're looking for 20%).

Label one end of the bar "0" and the other end "80 grams" to represent the weight of the cheese stick.

Find the weight of the cheese stick represented by the shaded part of the bar.

The weight represented by the shaded part is 16 grams (2 parts out of 10 parts, multiplied by 80 grams).

Therefore, 20% of 80 grams is 16 grams.

So, 20% of 80 grams is 16 grams.

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Answer:

D. 125 cm³

Step-by-step explanation:

Volume is how much space an object takes up.

The volume of a cube is denoted by: V = s³, where s is the side length of the cube. Here, we see that s = 5, so plug this into the formula:

V = s³

V = 5³ = 5 * 5 * 5 = 125

The answer is thus D.

Answer:

\(125 {cm}^{3} \)

Step-by-step explanation:

\(volume = b \times h \times l \\ = 5 \times 5 \times 5 \\ = 125 {cm}^{3} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Infinite

Step-by-step explanation:

Let's assume that h=2

-9(2)+9(2)=0

-18+18=0

And if we assumed that h=9

Then: - 9(9)+9(9)=0

- 81+81=0

Thus, h can be any number

Answer:

40

Step-by-step explanation:

x is being multiplied by 8 to get y

so 5 x 8 = 40

Answer:

The right answer is:

(a) \(P(t) = P_o \ e^{0.03536t}\)

(b) \(t = 14 \ years \ 6 \ months\)

(c) \(P(t) = =621,595.6\) ($)

Step-by-step explanation:

Given:

House price increment rate,

= 3.6% annually

(a)

Let the exponential equation will be:

⇒ \(P(t) = P_o e^{Kt}\)

here,

t = 0

P = P₀

t = 1 yr

then,

\(P(1) = P_o +3.6 \ persent \ P_o\)

        \(=1.036 \ P_o\)

now,

⇒ \(1.036 P_o = P_o \ e^{K.1}\)

 \(ln(1.036) = K\)

            \(K = 0.03536\)

Thus, the exponential equation will be "\(P(t) = P_o \ e^{0.03536t}\)".

(b)

We know,

\(P_o = 600,000\) ($)

\(P(t) = 10,00,000\) ($)

∵ \(P(t) = P_o \ e^{0.03536t}\)

   \(1000000=600000 \ e^{0.03536 t}\)

              \(\frac{5}{3}= e^{0.03536 t}\)

        \(ln(\frac{5}{3} )=0.03536 t\)

       \(\frac{\frac{0.5}{0825} }{0.03536} =t\)

                \(t = 14.45 \ years\)

or,

                \(t = 14 \ years \ 6 \ months\)

(c)

\(P_o=600,000\) ($)

\(t = 1 year\)

Now,

⇒ \(P(t) = P_o \ e^{0.03536 t}\)

           \(=600000 \ e^{ 0.03536\times 1}\)

           \(=621,595.6\) ($)

Answer: 5 quarters will fit in the square of area 225 in²

Step-by-step explanation: :- Area of quadrant = 14 in²area of square = 225 in²

Answer:

95°

Step-by-step explanation:

The angles have the same degrees

The probability of getting a head and a number greater than 5 i.e, independent events is 0.0833.

A coin is tossed and a die is rolled. These are two independent events. Two events are defined as independent if the outcome of one event has no effect on the outcome of another event. The probability is calculated by multiplying two independent probabilities together, i.e, P(A and B) = P(A) x P(B)

We have, Let us assume two independent events be ,

A : A coin is tossed and the head is thrown.

B : A die is rolled, and a number greater than 5 occurs.

Total possible outcomes when a coin tossed = 2 ={ H ,T }

Total possible outcomes when a die rolled = 6 = { 1,2,3,4,5,6} .

We have to determine probability of getting a head and a number greater

than 5.

Probability of getting the head on toss a coin, P(A) = 1/2

Probability of occuring a number greater than 5 on rolling a die = P(B) = 1/6

So, the probability of getting a head on coin and a number greater than 5 on die =P(A)×P(B)

=(1/2)× 1/6 = 1/12=0.0833

Hence, required probability is 0.0833.

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