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Answer:

6 sq. in

Step-by-step explanation:

To find area of triangle: base* height *1/2

height needs to be at a 90 degree angle from the base.

In this example, the base is 3 in, and the height is 4 in.

Plug these two into the equation

3 * 4 * 1/2 = 12 * 0.5 = 6

Answer:

6 packages

Step-by-step explanation:

Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.

8 * 0.75 = 6

This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.

Answer:

The answer ia option 2

Step-by-step explanation:

When a line is parallel to the other line, they will have the same slope (gradient).

The new equation will be y = (1/4)x + b.

Next, you have to find the value of b, by substituting the coordinates into the equation :

[tex]y = \frac{1}{4} x + b[/tex]

[tex]let \: x = - 4,y = - 2[/tex]

[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]

[tex] - 2 = - 1 + b[/tex]

[tex]b = - 1[/tex]

Answer:

[tex]1\frac{1}{2}\:\mathrm{or\:}1.5\:\mathrm{pounds}[/tex]

Step-by-step explanation:

The current ratio is 3/4 pound of dried apples per 1/2 pound of dried pears. Since the new amount of dried pears is 1 pound or double the initial amount, the new amount of dried apples will be double the initial amount:

[tex]\frac{3}{4}\cdot 2=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}\:\mathrm{pounds}[/tex].

Answer:

The value of x is 14.75 ⇒ (2)

Step-by-step explanation:

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

∴ BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

∴ m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

∴ 6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

∴ 6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

∴ x = 14.75

________the answer is Y=8X+2___________

Step-by-step explanation:

_

Answer:

P=12

Step-by-step explanation:

Step-by-step explanation:

A computer software company models its profit with the function :

[tex]P(x) = x^2 + 15x -34[/tex] ....(1)

Where

x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.

We need to find the number of games the company sell to get $16,000 in profit.

Put P(x) = 16,000 in equation (1).

[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]

Using quadratic formula with a=1, b=15, c=-16034.

[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]

Neglecting negative value,

No of games = 134 (approx)

Answer:

Step-by-step explanation:

Si

The measure of the other acute angle in the right triangle is 65 degrees.

In a right triangle, one of the acute angles measures 90 degrees, which is the right angle. The sum of the measures of the two acute angles in a right triangle is always 90 degrees.

Given that one of the acute angles measures 25 degrees, we can find the measure of the other acute angle by subtracting 25 degrees from 90 degrees:

Measure of the other acute angle = 90 degrees - 25 degrees

Measure of the other acute angle = 65 degrees

Therefore, the measure of the other acute angle in the right triangle is 65 degrees.

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The question is in Spanish the question in English is :

In a right triangle, one of the acute angles measures 25 degrees. What is the measure of the other angle?

Answer:

conjecture= the subject

Answer:

7.5 pounds

Step-by-step explanation:

multiply by 3.

3x+3y=30

2x+3y=22.5.

x=7.5.

7.5+2.5=10.

7.5 pounds of walnuts, 2.5 pounds of raisins.

Hope this helps :D

Answer:

147°

Step-by-step explanation:

supplementary angles equal to 180° in total so...

180 - 33 = 147

Answer:

Her salary for the month = $7260

Step-by-step explanation:

Amount sold = $62,000

Percentage rate = 3%

Salary from commission rate = Amount sold × Percentage rate

                                                = $62,000 × (3 / 100) = $1860

Total salary = Base salary + Salary from commission rate

                   = $5,400 + $1860

                   = $7260

Therefore, her salary for the month = $7260

Answer:

Step-by-step explanation:

Make a equation like 3m+10=37 and solve for m

Answer:

Elena walked 9 miles, Jada walked 13 miles, and Jin walked 15 miles.

Step-by-step explanation:

If you add the rectangles together, you get 3m + 10 = 37, so m = 9, and from then, you can add the number together to get the answers

Answer:

We conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]

Least Common Multiple of x+4, x+6:  (x+4) (x+6)

Adjusting fractions based on the LCM

[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]

since the denominators are equal, combine the fractions:

[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

so the expression becomes

[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]

simplify

[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Therefore, we conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Answer:

1. The 12 pack

2. Sargento cheese slices

Step-by-step explanation:

1.

1.80×2=3.60

2.

2.48/10 = .248 → .25

The required solution in mixed form is,

⇒ 1 1/12

We have to given that,

To change the fraction 13/12 into mixed number.

We know that,

Mixed fraction is written as,

a b/c

Where, a, b  and c are whole number.

Here, Fraction is,

13 / 12

After divide,

1 1/12

Therefore, The required solution in mixed form is,

⇒ 1 1/12

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Answer:

7/6

Step-by-step explanation:

trust me i promise this is right

1+4/x                       x + 4

------------   =            -------------  

1-16 x^2           x(-4x + 1) (4x + 1)

hope this helps, it probs won't but-

Answer: [tex]\frac{x+{4} }{x - 16x^{3} }[/tex]

Steps:

Sorry about the delay. Hope this helps!

Answer:

y=115x+65

Step-by-step explanation:

He earns $115 per game shows that after getting a signing bonus, that is a constant amount he earn for each game. The slope is 115.

The y-intercept is 65 because after signing, he earns $65 for free.

Hope I helped! Good Luck!

Answer:

The number of stickers that would be in each book is :

3 animal stickers, 4 flower stickers, 5 star stickers

Step-by-step explanation:

Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers.

We solve this above question, using the Greatest Common Factor Method

We find the factors of 24, 18 and 30

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

We are told that: Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?

For animal stickers

18 animal stickers

= 18 animal stickers/6

= 3 animal stickers

For flower stickers

24 flowers stickers

= 24 flowers stickers/6

= 4 flower stickers

For animal stickers

18 animal stickers

= 18 animal stickers/6

= 3 animal stickers

For star stickers

30 star stickers.

= 30 star stickers/6

= 5 star stickers

Therefore, the number of stickers that would be in each book is :

3 animal stickers, 4 flower stickers, 5 star stickers

Answer:

Step-by-step explanation:

Looks like we both struggle with geometry

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

Answer:

x = 3

Step-by-step explanation:

9x - 27 =?

      +27   +27

9x = 27

divide both sides by 9

x = 3

Hope this Helps!!!

Answer:

1/2cup

as if 3and1/2cup is divided into 4people then in every one will get half cup.

Answer:

Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.

Step-by-step explanation:

The problem is essentially asking;

[tex]3\frac{1}{2}[/tex] ÷ 4

(4 because the pudding has to be divided amongst Regina and her 3 friends, hence 4 people)

To divide fractions, first one has to convert from improper fractions to mixed numbers;

[tex]\frac{7}{2}[/tex] ÷ 4

Next, one has to reciprocate the second fraction, since the second number is an integer, one simply has to put the number as the denominator, and set the numerator to 1.

[tex]\frac{7}{2}[/tex] * [tex]\frac{1}{4}[/tex]

Now, one has to perform the multiplication, simply multiply the numerators and denominators together (there is no way of simplifying in this problem);

[tex]\frac{7}{8}[/tex]

Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.

Step-by-step explanation:

On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.