Solve each equation algebraically. Show all work. #1, #4, and #6

Answer:

You have to convert 4 and 1/4 to 17/4. Then, the LCM of 3 and 4 is 12, so multiply 17/4 by 3/3 and 2/3 by 4/4 to get 51/12 and 8/12. Now, subtract.

51/12 - 8/12 = 43/12. That is the final answer.

Answer:

8 (2x +3x +2 ) = -4x +124 = x = 122/9

Answer:

[tex] \frac{27}{11} [/tex]

Step-by-step explanation:

8 (2x + 3x + 2) = -4x + 124

16x + 24x + 16 = -4x + 124

16x + 24x + 4x = 124 - 16

44x = 108

x =

[tex] \frac{108}{44} [/tex]

= simplifying

[tex] \frac{27}{11} [/tex]

Answer:B

Step-by-step explanation:

Answer:

4w - 10

Step-by-step explanation:

Step 1: Write expression

-2(w + 5) + 6w

Step 2: Distribute -2

-2w - 10 + 6w

Step 3: Combine like terms

4w - 10

Answer:

maybe -2.

Step-by-step explanation:

maybe I guess

Answer:

between 2 an 3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

5.20 * 1.06 = 5.512

11.70 - 5.512 = 6.188

6.188 / 2.75 = 2.25018

Round to the nearest hundredth which equals....

2.25

he has 42.87 correct, you have to find the percentage of one number in relation to another with the formula percentage = ( number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage

Answer:

A = 3 and B = 2

Step-by-step explanation:

Here, we are interested in giving the values for A and B

We are told that there are three cartons, with 100 gun balls in each.

The total number of gum balls Jackson have will be 100 + 100 + 100= 300

Now, we want to express 300 in the form a•10^b

Thus;

300 = 3 * 100

3 * 100 = 3 * 10^2

where A = 3 and B = 2

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3x + .8 = 18.8

subtract .8

3x = 18

divide by 3

x = 6

Answer:

scientific notation:

4.51 × 104

or

4.51x10^4

scientific notation with e:

4.51e4

Step-by-step explanation:

When you write scientific notation of 45100/45.1 thousand, you need to find How do you write 45100/45.1 thousand in scientific notation.

. The 45100 should be written.

Answer:

4.51 * 10^4

Step-by-step explanation:

4.51 * 10^4 = 45100

All you gotta do is move the decimal to the left until you have a number between 1-10. And how ever many spaces you jumped that's the exponent you put on the 10.

Example, 467500

I would jump 5 places to get 4.675

Since I jumped 5 places that's my exponent

4.675 * 10^5

HOpe this helps!!!

Answer:

The polygon has 5 sides. A polygon with 5 sides is a

pentagon.

If you draw the line containing the side  it will

contain some points in the interior of the polygon. So,

the polygon is concave. Since it is concave, it is

irregular.

Step-by-step explanation:

Answer:

C. $14,000

Step-by-step explanation:

If he is now being charged an annual premium of $720.90. The increase in his home's value is $14,000.

Increase in home value=[(720.90/0.27)-(683.10/0.27)]×$100

Increase in home value=(2670-2530)×$100

Increase in home value=140×$100

Increase in home value=$14,000

Therefore the increase in his home's value is $14,000.

Learn more about increase in home value here:https://brainly.com/question/15895507

Answer:

h

Step-by-step explanation:

Answer:

C. 639.45 AED

Step-by-step explanation:

Principal  = AED 300

Compound interest = 3.5%

Unknown:

Amount of the investment after 22yrs = ?

Solution:

Compound interest is simply interest on interest.

  The formula is given as;

           A  = P(1 + [tex]\frac{r}{n})^{nt}[/tex]

where A is the final amount

            P = initial principal

            r = interest rate

           n = number of years

 Input the parameters and solve;

          A  = 300 (1 + [tex]\frac{0.035}{1} )^{22 x 1}[/tex]

          A  = 639.45

So the amount of investmet is AED 639.45

Answer:

[tex] \huge \: t = \frac{13}{2} [/tex]

Step-by-step explanation:

[tex]10t - 5 = 60[/tex]

Using the addition property add 5 to both sides of the equation

That's

[tex]10t - 5 + 5 = 60 + 5 \\ 10t = 65[/tex]

Divide both sides by 10

[tex] \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} [/tex]

Reduce the fraction with 5

We have the final answer as

[tex]t = \frac{13}{2} \\ [/tex]

Hope this helps you

Answer:

t = 6.5

Step-by-step explanation:

10t - 5 = 60

Add 5 to each side

10t -5+5 = 60+5

10 t = 65

Divide each side by 10

10t/10 = 65/10

t = 6.5

Answer:

Sorry need to do some thing else brb

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

(-7;8)

..........................

The image point will be (-7, 8)

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.

The direction or the path of this change in position of the object can vary i.e., initially the object can move left, then turn right, and so on. While translating, all the points on the shape will shift by the same number of units. For example, if one point shifts 2 units to the right, then all the points will also move 2 units to the right.

Given:

coordinate ( -2, 5)

To translate 5 units left the x- coordinate will be

= -2 -5

= -7

and, now to shift 3 units up y- coordinate will be

=3+5

=8

Hence, the image point will be ( -7 , 8)

Learn more about translation here:

https://brainly.com/question/12463306

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Complete Question:

Which situation illustrates quadratic equation?

a. The length of a rectangular board is 3m longer than its width and its perimeter is 25m.

b. Joey paid at least P2,000 for the shirt and pants.The cost of pants is P700 more than the shirt.

c. A garden's length is 7m longer than its width and the area is 18 square meter.

d. A lot costbP4,000 per square meter and the area is 120 square meters.

Answer:

C.

Step-by-step explanation:

Required

Determine which option answers the question, correctly.

From the list of given options, only option c answers the question correctly.

This is shown below.

Represent

Length with l and Width with w, such that:

[tex]l = 7 + w[/tex]

Area (A) is calculated as thus:

[tex]A = l * w[/tex]

Substitute 7 + w for l and 18 for A.

This gives:

[tex]18 = (7 + w) * w[/tex]

Open Bracket

[tex]18 = 7w + w^2[/tex]

Reorder

[tex]w^2 + 7w = 18[/tex]

Subtract 18 from both sides

[tex]w^2 + 7w - 18= 18 - 18[/tex]

[tex]w^2 + 7w - 18= 0[/tex]

See that the above expression is a quadratic equation.

Answer:

9/12

Step-by-step explanation:

Answer:

9/12

Step-by-step explanation:

Just as the question says, you have to rewrite 3/4 with a denominator of 12, and you can do that by multiplying both the numerator (top) and denominator (bottom) by 3:

3/4 * 3 = 3(3)/4(3) = 9/12

Hope this helps :)

Answer:

-x + 9

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression.