3x - 2y = 3; 6x – 4y = 1
How many solutions ?

Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

Step-by-step explanation:

We have , an ice cream store sells 28 flavors of ice cream, determine the number of 4 dip sundaes. how many are possible if order is not considered and no flavor is repeated? Let's find this:

∴ Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

Answer:

Step-by-step explanation: 5 times 2 equals 10

Answer:

[tex]ratio=\frac{5}{9}[/tex]

Step-by-step explanation:

Let

x ----> the number of blue shapes in the set

y ----> all shapes in the set

we know that

To find out the ratio of blue shapes to all shapes in the set , divide the number of blue shapes in the set by the number of all shapes in the set

we have

[tex]x=5\\y=9[/tex]

therefore

The ratio is equal to

[tex]ratio=\frac{x}{y}[/tex]

substitute

[tex]ratio=\frac{5}{9}[/tex]

Answer: It would be letter B (5:9)

Step-by-step explanation:

Answer:

Option 1 - y cubed z superscript 4

Step-by-step explanation:

Given : Expression y times y times y times z times z times z times z.

To find : Which expression is equivalent to given expression ?

Solution :

Re-write the expression as,

[tex]y \times y \times y \times z \times z \times z \times z[/tex]

Write the number of time value repeat itself as the power,

[tex]y \times y \times y \times z \times z \times z \times z=y^3\times z^4[/tex]

[tex]y \times y \times y \times z \times z \times z \times z=y^3z^4[/tex]

or we can say that the expression is y cubed z superscript 4.

Therefore, option 1 is correct.

Answer:

it is A).

Step-by-step explanation:

ANSWER IS D HOPE IT HELPS

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be [tex]600(1 - \frac{20}{100}) = 600 \times 0.8 = 480[/tex].

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be [tex]480(1 + \frac{20}{100}) = 480 \times 1.2 = 576[/tex].

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be .

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be .

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Answer:

$26.25

Step-by-step explanation:

So what you do is divide 25 by 100 so its a decimal .25 then multiply that by 35 and you get 35/4 or 8.75 you take that number and subtract it from 35 and you get 26.25.

For future reference what ever percentage you have like if says it went up 80% you divide that by a hundred also and you get .80 you multiply that by 35 you get 28 you don't subtract it from the original price but you add it so you get 35+28=63 and that's your final answer.

Remember you divide the percentage for example 25 by 100 multiply by the price it gives for example 35 if the question says off you subtract what you got from the original price if it went up you add it to the original price and that's your final answer. Hope this help :)

Answer:

-2x-9=y

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

B) 384

Step-by-step explanation:

Hello! This is the answer.

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

Lateral Surface Area of a square pyramid (4 isosceles triangles):

For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a and for this calculation our height for the triangle is slant height s.  With 4 sides we need to multiply by 4.

L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)

Squaring the 2 to get it back inside the radical,

L = a√(a2 + 4h2)

Base Surface Area of a square pyramid (square):

B = a2

Total Surface Area of a square pyramid:

A = L + B = a2 + a√(a2 + 4h2))

A = a(a + √(a2 + 4h2))

Therefore your answer is B 384.

Answer:

13/6 or 2 1/6

Step-by-step explanation:

6 1/2 = 13/2 (Improper Fraction)

1/3 = 2/6 (1/3 is just simplified)

1/3 x 1 + 1 + 4 + 6 + 1 = Answer

(13/2 x 1/3 = 13/6)

Solving the expression using the Distributive Property, we get 13.6.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

(1/3) x (6 1/2)

We have the expression -

(1/3) x (6 1/2)

(1/3) x (6 + 1/2)

(1/3 x 6) + (1/3 x 1/2)

2 + 1/6

13.6

Therefore, solving the expression using the Distributive Property, we get 13.6.

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Answer:

Step-by-step explanation:

4:30am

Answer: A

Step-by-step explanation:

15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)

Expression represents the situation of shipping company damages is 15 x (-$175.50).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, a shipping company damaged 15 packages and each package was valued at $175.50. Hence,

Expression that represents this situation = 15 * 175.50

this value will be in negative since its a loss.

Therefore, The expression 15 x (-$175.50) depicts the state of the transportation company's damages.

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The common difference is [tex]d=-\frac{25}{2}[/tex]

Explanation:

The difference between the 7th and 9th terms  of an arithmetic sequence is 25

Since, we know the general form of an AP is [tex]a_{n}=a_{1}+(n-1) d[/tex]

For [tex]n=7[/tex], we have,

[tex]a_{7}=a_{1}+(7-1) d[/tex]

[tex]a_{7}=a_{1}+6 d[/tex] ---------(1)

For [tex]n=9[/tex], we have,

[tex]a_{9}=a_{1}+(9-1) d[/tex]

[tex]a_{9}=a_{1}+8 d[/tex] ----------(2)

Subtracting (1) and (2), we get,

[tex]a_7-a_9=6d-8d[/tex]

Since, it is given that the difference between 7th and 9th term is 25.

Hence, we have,

[tex]25=-2d[/tex]

Dividing both sides by -2, we have,

[tex]d=-\frac{25}{2}[/tex]

Hence, the common difference is [tex]d=-\frac{25}{2}[/tex]

Answer:

Y equals 1/2 x -4 and passes through the point 6 / -2

Step-by-step explanation:

Step-by-step explanation:

The person earned $220.

The process of subtracting one number from another is known as subtraction.

The person initially has $512.50.

The total money person spends is:

$249.95 + $482.55

=$732.5

Now, subtract 512.50 from 732.5 to get the money earned by the person:

$732.5 - $512.50

= $220

Hence, the person earned $220.

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Answer: $388.5

Step-by-step explanation:

Total cost = cost + sales tax

Given that cost = $370

Sales tax = 5% of $370

5/100 × 370 = $18.5

Total cost = $370 + $18.5

= $388.5

I hope this is clear.

Answer:

The weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]

Step-by-step explanation:

Given:

Total number of bottles = 6

Weight of each bottle = [tex]\frac{3}{5}[/tex] pound

To find the total weight of 6 bottles.

Solution:

We can plot the number line for six bottles.

We can the plot the weights in another number line.

Each unit represents [tex]\frac{3}{5}[/tex] pound of weight.

As the number of bottles increase the number of pounds of weight increase by  [tex]\frac{3}{5}[/tex] .

Thus, weight of 6 bottles = [tex]\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}[/tex] [tex]=\frac{18}{5}[/tex] pounds

Converting fraction to mixed number.

[tex]\frac{18}{5}=3\frac{3}{5}[/tex] pounds

Or in decimals [tex]\frac{18}{5}=3.6\ pounds[/tex]

Thus weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]

Answer:

x = 2

Step-by-step explanation:

Given

4x - 3 = - 9 + 7x ( subtract 7x from both sides )

- 3x - 3 = - 9 ( add 3 to both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = 2

Answer:

15000

Step-by-step explanation:

We have, 60% × x = 900 or,  

60

100

× x = 9000

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 9000 ×  

100

60

x = 15000

If you are using a calculator, simply enter 9000×100÷60, which will give you the answer.

Answer:

The answer A. "The absolute value of a number gives its distance from zero on the number line."

Step-by-step explanation:

An absolute number has these in it '| |'. An absolute number always is positive, because it represents a difference.

For example, the difference of 0 and -30 is |30|.

Though 0 - 30 is -30, the DIFFERENCE is |30|.

As the answer says, "its distance from zero on the number line".

Final answer:

The absolute value of -9 equals the absolute value of 9, which is 9, because absolute value represents the distance from zero on the number line, and both -9 and 9 are 9 units away from zero, regardless of their direction.

Explanation:

The reason why |-9| = |9| is because the absolute value of a number refers to its distance from zero on the number line. This distance is always a non-negative number since it does not refer to direction, just the magnitude of separation from zero. Therefore, both -9 and 9 are 9 units away from zero, and their absolute values are equal.

In mathematical terms, the absolute value function, denoted by | |, strips away the sign of a number, turning any negative number into its positive counterpart. So, |9| is already positive, and |-9| transforms -9 into 9 because you remove the negative sign, rendering both absolute values equivalent.

Answer:

C=44.6mm

Step-by-step explanation:

C=pi times d

C=3.14 times 14.2

Final answer:

The circumference of a circle with a diameter of 14.2 mm is 44.6 mm when rounded to the nearest tenth.

Explanation:

To find the circumference of a circle with a given diameter, you can use the formula C =
(D), where
is approximately equal to 3.14, and D is the diameter. For a circle with a diameter of 14.2 mm, the circumference would be calculated as follows:

C = 3.14 x 14.2 mm

After performing the multiplication:

C = 44.588 mm

When rounded to the nearest tenth, the circumference is:

C = 44.6 mm

Therefore, the circumference of the circle is 44.6 mm.

Step-by-step explanation:

I'm guessing that "PQPA" means like Problem Question, Problem Answer (so what you are trying to find, and what it is (I think)).

That means the first problem is (3/4)+(7/8) = 13/8 and "How much water is collected in two hours?"

This means the second problem is (2 1/3) - (1 3/4) = (7/3)-(7/4) = 7/12 and "How many pounds of beef are left"

This means the third problem is (1 -(1/6))(2/5) = (5/6)(2/5) = 1/3 and "What fraction of her paycheck is saved"

This means that the fourth problem is (3/4)(2/3) = 1/2 and "How long did it take Megan to do her HW?"

Answer:

PQ = 54

Step-by-step explanation:

The rest of the question is the attached figure.

As shown:

triangle RPQ is similar to triangle RTS.

So, the corresponding sides are in proportion.

[tex]\frac{PQ}{TS}= \frac{RP}{RT}[/tex]

From the figure:

TS = 36 , RP = 42 AND RT = 28

∴ [tex]\frac{PQ}{36} = \frac{42}{28} \\[/tex]

∴ PQ = 36 * 42/28 = 54

So, the distance between P and Q = 54

Answer:

-26

Step-by-step explanation:

-6+49+(-69)

43+(-69)

43-69

-26

Answer:

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints:

[tex]x\geq 0[/tex] ----> constraint A

[tex]y\geq 0[/tex] ----> constraint B

[tex]2x+2y\leq 10[/tex] ----> constraint C

[tex]3x+y\leq 9[/tex] ----> constraint D

Solve the system of inequalities by graphing

using a graphing tool

The solution is the quadrilateral shaded area

see the attached figure

The vertex of the figure are

(0,0),(0,5),(2,3) and (3,0)

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function C and then compare the results

we have

[tex]C=4x+2y[/tex]

[tex]For (0,0) -----> C=4(0)+2(0)=0\\For (0,5) -----> C=4(0)+2(5)=10\\For (2,3) -----> C=4(2)+2(3)=14\\For (3,0) -----> C=4(3)+2(0)=12[/tex]

therefore

The maximum value of C is 14

Answer:

The maximum value is c=14

Step-by-step explanation:

I hope this helps

I also did the question on acellus

Answer:

D 464

Step-by-step explanation:

lemme know if you need an explanation

Answer:

the answer is 6.4%

Step-by-step explanation:

Because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640% hope it helps!!!!!!!!!

1. Divide both sides by 3

2x - 4 = 6/3

2. Simplify 6/3 to 2

2x - 4 = 2

3. Add 4 to both sides

2x = 2 + 4

4. Simplify 2 + 4 to 6

2x = 6

5. Divide both sides by 2

x = 6/2

6. Simplify 6/2 to 3

x = 3