A sum of $4200 was invested, part at 8% and the remainder at 11%. If $426.00 was earned in interest after one year, how much was invested at 11%?

Answer:

-6x + 15 = - 69 which x = 14

Step-by-step explanation:

You cannot solve this equation. There is no equal sign anywhere. Either you mean

-6x = 15 in which case the answer is

-6x/-6 = 15/-6

x = - 2 1/2 or x= - 2.5

or you mean that you use the distributive property

- 3(2x + 5)

You may have left something out of this.

-6x + 15 = -  69

You can do it now that you have the complete equation. But you need the entire equation before you can answer the question.

Subtract - 15 from both sides.

-6x + 15 - 15 = -69 - 15

-6x = - 84

Divide by - 6

-6x/-6 = - 84/-6

x = 14

But what you want is

-6x + 15

-6*14 + 15

-84 + 15

-69

-6x + 15 = - 69

when x = 14 which is usually what you are asked.

Hello there! n < -2.

Solve for n. To do this, you want to get all other terms on the other side of the equation. The only other term is 7 in this case, so subtract 7 from both sides of the equation.

n +7-7< 5​-7

n < -2

This is your final answer! I hope this helps and have a great day!

Answer:

The solution is n<-2

Step-by-step explanation:

The given inequality is:

n+7 <5​

We solve this inequality by adding -7 to both sides of the inequality:

n+7 +-7<5​+-7

We simplify to get:

n+0<5​-7

this finally gives us:

n<-2

The solution is n<-2

Answer:

hey can pay for 9 months

Step-by-step explanation:

585/65

Just simply divide 585 with 65 and you get number of months.

[tex]585\div65=\boxed{9}[/tex]

Tom can pay for 9 months for his gym membership.

Hope this helps.

r3t40

Answer:

Step-by-step explanation:

Red = 6

Blue = 3

Green = 5

Total = 14

First marble = 6/14  = 3/7  You now have 5 reds and 13 total

Second Marble = 5 * 13  which brings you down to 4 red and 12 total.

Third Marble = 4/12 = 1/3

Result

P(3 Red) = 3/7 * 5/13 * 1/3     cancel the 3s

P(3 Red) = 1/7 * 5/13

P(3 Red) = 5/91

P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.

Answer:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 5 and (a, b) = (2, - 1), so

y - (- 1) = - 5(x - 2), that is

y + 1 = - 5(x - 2) → A

The point-slope form of a line with slope -5 that contains the point

(2,-1) is,

⇒ y + 1 = - 5 (x - 2)

Since, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Here, Given that;

Slope = - 5

Point on line = (2, - 1)

Hence, The point-slope form of a line with slope -5 that contains the point

(2,-1) is,

⇒ y - y₁ = m (x - x₁)

⇒ y - (- 1) = - 5 (x - 2)

⇒ y + 1 = - 5x + 10

⇒ y =- 5x + 10 - 1

⇒ y = - 5x + 9

Thus, The point-slope form of a line with slope -5 that contains the point

(2,-1) is,

⇒ y + 1 = - 5 (x - 2)

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Answer:

the answer is D

Step-by-step explanation:

To solve the inequalities 3x + 1 ≥ 8 and 10x ≤ 15, we find that no x can satisfy both inequalities simultaneously. Thus, the solution set is empty and the correct answer is B. No solution.

Solving the System of Inequalities

We need to find the solution set for the system: 3x + 1 ≥ 8 and 10x ≤ 15.

3x + 1 ≥ 8

Subtract 1 from both sides: 3x ≥ 7

Divide by 3: x ≥ 7/3 x ≥ 2.33

10x ≤ 15

Divide by 10: x ≤ 1.5

For the two conditions x ≥ 2.33 and x ≤ 1.5 to both be true, there is no number x that satisfies both.

Therefore, the solution set is empty.

The correct answer is B. No solution.

Answer:

84 m²

Step-by-step explanation:

If you mention "hypotenuse," I automatically assume that this is a right triangle.  We can find the length of the third side using the Pythagorean Theorem:  7² + x² = 25², or x² = 625 - 49 = 576.

Then the 3rd side (which is also the height of the triangle) is x = √576 = 24.

The base of this triangle is 7 m and the height is 24 m.

The area is thus:

A = (1/2)(base)(height) = (1/2)(7 m)(24 m) =   84 m²

See the attached picture:

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right]}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] +X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right]\\\\\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]+X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]\\\\X=\left[\begin{array}{ccc}6-8&4-(-7)\\0-1&5-(-5)\end{array}\right]\\\\X=\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right][/tex]

To fond the price before the increase divide the new price by 1 plus the percent of increase:

720 / 1.03 = 699.029

Rounded to the nearest penny = 699.03

Answer:

6

Step-by-step explanation:

Given in the question that,

length of the diagonal of a square = 6√2

As we know that a square have all lengths equal in size and lengths are perpendicular to each other so to solve this question we will use pythagorus theorem

hypotenuse² = base² + height²

here,

hypotenuse is the diagonal of the square

base and height side length of the square

Plug value in the formula

6√2² = l² + l²

36(2) = 2l²

72 = 2l²

l² = 72/2

l² = 36

take square root on both sides of the equation

l = √36

Answer:

6

Step-by-step explanation:

The diagonal of the square represents the hypotenuse of a right triangle formed by the diagonal and 2 sides of the square.

Using Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the side of the square then

x² + x² = ( 6[tex]\sqrt{2}[/tex])²

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

Final answer is [tex]P(B|A)=0.40[/tex].

Step-by-step explanation:

Given that P(A)= .50, P(B)=.80 , and P(A and B)=.20.

Now we need to find about what is the value of P(B/A).

So apply the formula of compound probability :

P(A and B) = P(A)*P(B/A)

Plug the given values into above formula

0.20 = 0.50*P(B/A)

0.50*P(B/A) = 0.20

[tex]P(B|A)=\frac{0.20}{0.50}[/tex]

[tex]P(B|A)=0.40[/tex]

Hence final answer is [tex]P(B|A)=0.40[/tex].

Answer:

Area= 615 ft²

Step-by-step explanation:

Apply the formula for area of a circle to find the area watered when a sprinkler covers a full circle

Area of a circle= [tex]\pi r^{2}[/tex]

r= 14ft

Area= 3.14 × 14²

Area=615.44 ft²

Area= 615 ft²

Answer:

3/10 fraction of a pizza is received by each person.

Step-by-step explanation:

3 pizzas are shared among 10 people. We need to find the fraction of pizza each person receive.

No of pizzas = 3

Total People sharing = 10

Each person receive pizza = No of pizzas/ Total People sharing

                                             = 3/10

3/10 fraction of a pizza is received by each person.                                            

Answer:

dang

Step-by-step explanation:

2 years ago

Answer:

[tex]3x+5 + \frac{28}{2x-4}[/tex]

Step-by-step explanation:

If the volume of the rectangular prism is represented by [tex]6x^2 - 2x + 8[/tex] and the base area is [tex]2x - 4[/tex]

Volume of a prism = base area times height

we replace the volume and the base area

[tex]6x^2-2x+8 = (2x-4) \cdot height[/tex]

Divide both sides by 2x-4

[tex]height= \frac{6x^2-2x+8}{2x-4}[/tex]

we use long division.

                                      3x+5                          

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

  [tex]2x-4[/tex]                 [tex]6x^2 - 2x + 8[/tex]

                                   [tex]6x^2 - 12x[/tex]

                               -----------------------------------------------(subtract)

                                              [tex]10x+8[/tex]  

                                              [tex]10x-20[/tex]  

                               ------------------------------------------------(subtract)

                                                            28

[tex]3x+5 + \frac{28}{2x-4}[/tex]

Answer:

$21.34

Step-by-step explanation:

You and 3 friends went out for dinner, total 4 people

The bill is $85.36

So

Each person owes = $85.36 / 4 = $21.34

Answer:28.45

Step-by-step explanation:divide 3 by 85.36

Answer:

11 in

Step-by-step explanation:

All we care about here is volume, not area.  So the top is irrelevant.

The volume of a rectangular tank with a square bottom, b, and height, h, is

V = b²h = 1,331 in³                       1,331 in³

Then b² = area of the base  = ---------------- = 121 in²

                                                    11 in

The square of the length of any one side of the base is 121 in².

Taking the square root of this yields 11 in.

The length of each side of the base is 11 in.

Answer:

The answer I beleive is actually A because if you divide the x value by the y-value it gives you 0.11 and no other graph gives you that exact amount dividing either y or x values

Step-by-step explanation:

Sorry for being so late lol

The answer is, electticity cost.

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Calculate the mean, standard deviation, and a value one standard deviation below the mean for a data set.

Mean: To find the mean, add all the numbers together and divide by the total count. (62 + 37 + 48 + 67 + 44 + 58 + 47) / 7 = 49.6

Standard Deviation: Calculate the standard deviation using a formula or a calculator. For the given data, the standard deviation is approximately 9.7 rounded to the nearest tenth.

One Standard Deviation Below Mean: To find this value, subtract the mean from one standard deviation: 49.6 - 9.7 = 39.9

The equivalent expression would be,

⇒ (x - 5) (x + 5)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 25

Now, We can simplify as;

⇒ x² - 25

⇒ x² - 5²

⇒ (x - 5) (x + 5)

Thus, The equivalent expression would be,

⇒ (x - 5) (x + 5)

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Final answer:

The expression x²- 25 is a difference of squares and can be factored into (x - 5)(x + 5), which is the product of two binomials.

Explanation:

The expression x²² – 25 can be factored into a product of two binomials because it represents a difference of squares. A difference of squares is a specific type of polynomial that takes the form a²– b², which can be factored into (a – b)(a + b). In the case of x² – 25, we can identify a as x and b as 5 since 52 equals 25.

Therefore, we can factor the expression x² – 25 into:

(x – 5)(x + 5)

This utilizes the factoring technique, which is a crucial algebraic skill for simplifying expressions and solving equations.

Answer:

x= -7y

Step-by-step explanation:

Your answer would be x= -7y. Hope this helps!!

This equation represents the given horizontal line is y = - 7. the correct option is d.

To find the equation of the line passing through the points (-10, -7) and (3, -7), we can use the point-slope form of a linear equation:

The point-slope form is given by: y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points on the line, and m is the slope of the line.

First, let's calculate the slope (m) using the two points:

m = (change in y) / (change in x)

m = (-7 - (-7)) / (3 - (-10))

m = 0 / 13

m = 0

Now, we have the slope (m = 0), and we can choose either of the given points to plug into the equation. Let's use the point (-10, -7):

y - (-7) = 0(x - (-10))

y + 7 = 0

Now, we can simplify the equation:

y = -7

So, the equation of the line passing through the points (-10, -7) and (3, -7) is y = -7. This equation represents a horizontal line at y = -7, as the slope is 0.

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Answer:

car cost 19400

Step-by-step explanation:

y = 5000 + 300*m where m is the number of months.

m = 48

y = 5000 + 300*48

y = 5000 + 14400

y = 19400

The cost of the car is 19400

Answer:

14,400 because if you multiply 300 and 48 because thats what he has to pay for the car and how long he has making that same payment

Then you add 5000 for the total payment because thats the car paid in full

* Therefor, the answer is 14,400

* Hopefully this helps:) Mark me the brainliest:)!!!

Answer:

the answer is 9

Answer:

27 - t · 3

27 - 6 · 3

27 - 18

9

Step-by-step explanation:

Final answer:

By setting up and solving a system of linear equations, we find that walnuts cost $3.50 per pound and chocolate chips cost $1.25 per pound.

Explanation:

The question involves using a system of two linear equations to find the cost per pound of walnuts and chocolate chips. We can define w to be the cost of one pound of walnuts and c to be the cost of one pound of chocolate chips. From the information given, we can set up the following two equations:

3w + 2c = 13

8w + 4c = 33

To solve these equations, we can use either substitution or elimination. Let's use elimination:

Multiply the first equation by 2 to align the coefficients of c. This gives us: 6w + 4c = 26.

Now, subtract the newly obtained equation from the second one: (8w + 4c) - (6w + 4c) = 33 - 26, which simplifies to 2w = 7.

Divide both sides by 2 to find w: w = 7/2, so w = $3.50 per pound for walnuts.

Substitute the value of w back into the first equation: 3(3.50) + 2c = 13. Therefore, 10.50 + 2c = 13.

Subtract 10.50 from both sides to find c: 2c = 2.50.

Divide both sides by 2 to get: c = 2.50 / 2, so c = $1.25 per pound for chocolate chips.

Therefore, walnuts cost $3.50 per pound and chocolate chips cost $1.25 per pound.

Using proportional relationships in similar triangles ABC and AED, the length of AD is calculated to be approximately 11.67.

In order to calculate the length of AD, we should first understand that given ΔABC is similar to ΔAED, and given lengths AC = 3, BC = 5, and AB = 7, the scale factor of ABC to AED is based on any of the corresponding dimensions. Here, _1 corresponds to BC(_2) in terms of proportions. Therefore _1(BC)/_1(AC) = _2(BD)/_2(AD). As we know the values of BC and AC, the equation becomes 5/3 = AD/7. Solving this for AD, we get AD = (7 * 5) / 3 = 35/3 = approx 11.67.

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Answer:

2. 0.4

Step-by-step explanation:

Solve for "x" by simplifying both sides of the equation, then isolating the variable.

The solution of the equation is x = 0.4.

Given: Equation

[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]

Now, we have to solve for x.

[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]

Multiplying both sides by 5, we get:

⇒ 3(x + 4/3) = 1.04 × 5

⇒ 3x + 4 = 5.2

⇒ 3x = 5.2 - 4

⇒ 3x = 1.2

Dividing both sides by 3, we get:

⇒ x = 0.4

Therefore, the solution of the given equation is x = 0.4.

Hence, option (2) is correct.

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A statistical question is one for which you don't expect to get a single answer. Instead, you expect to get a variety of different answers, and you are interested in the distribution and tendency of those answers. For example, "How tall are you?" is not a statistical question. But "How tall are the students in your school?" is a statistical question.

I=PRT/100

1. Make R (rate) subject

R/100= I/PT

2. Substitute and calculate

r/100= i/pt

r/100= 40/400 × 1

(40 is from 440-400.The interest)

r/100= 0.1

r/100×100= 0.1×100

r=10% (interest rate per year)

To confirm

I=PRT

I= 400×10/100×1

I= $40 (Interest)

Answer:

$40

Step-by-step explanation:

find Y

$400=x

$440=x+y

x+$40=x+y

$40=y

Answer:

d = C /t

Step-by-step explanation:

C = td

We want to isolate d, so divide each side by t

C/t = td/t

C/t = d

d = C /t

Answer: c/d = t

Since d is being multiplied by t, to get d by itself we simply divide both sides of the equation by t and we have c/d = t which is our final answer.

Step-by-step explanation:

That means it is rotated 90° clockwise about the origin.

Answer:

90° clockwise rotation .

Step-by-step explanation:

Given  : Quadrilateral ABCD is transformed according to the rule (x, y) → (y, –x).

To find : Which is another way to state the transformation.

Solution : We have given that Quadrilateral ABCD

(x, y) → (y, –x).

It can be stated as it is as 90° clockwise rotation .

Therefore,  90° clockwise rotation .

Answer:

C.

Step-by-step explanation:

It is linear because it have two variables (x and y) and the highest powers that they are raised to are 1

For this case we have that by definition, a linear equation is of the form:

[tex]ax + b = 0[/tex]

That is, the largest exponent of the variable is 1.

Then, according to the options given, we have that the correct option is option D, that is:

[tex]4x + 6 = 30[/tex]

Answer:

Option D