subtract, need help again! thanks a lot.​

Answer:

B)  width = 4 ft

    length = 9 ft

Step-by-step explanation:

Area = 36 ft²

Let width = x

⇒ length = x + 5

Area of a rectangle = width × length

⇒ 36 = x(x + 5)

⇒ x² + 5x - 36 = 0

⇒ x² + 9x - 4x - 36 = 0

⇒ (x² + 9x) + (-4x - 36) = 0

⇒ x(x + 9) - 4(x + 9) = 0

⇒ (x + 9)(x - 4) = 0

⇒ x = -9, x = 4

As distance is positive, x = 4 only

Therefore,

width = x = 4 ft

length = x + 5 = 4 + 5 = 9 ft

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

We need to know two formulas before we start ~

Taking value of pi as 3.14

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:d = 7.4[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 7.4 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 3.7 \: \: units[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (3.7) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 42.9866 \approx43 \: \: unit {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.2 \: yd[/tex]

[tex]\qquad \sf  \dashrightarrow \: circumference = 2 \times 3.14 \times 2.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: c =13.816 \: yd[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 5 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 15.7 \: \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 6 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:c =18 .84 \: \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.1 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (2.1) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 3.14 \times 4.41[/tex]

[tex]\qquad \sf  \dashrightarrow \:a \approx13.85 \: \: m {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 1.3 \: mm[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 2 \times 3.14 \times 1.3[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 8.16 \: \: mm[/tex]

Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]

Answer:

6 Hours

Step-by-step explanation:

No.of leaflets---no.of people---work hours

1000 ————. 4. - — — — — — — 5

1500 — — — —5 — — — — — ,— —?

If work increase, no.of people needed more

So, the required ratio is 1500/1000

If work men increase, no of hours decrease

So, the required ratio is 4/5

(1500/1000)× (4/5)×5 = 6

No.of hours required to distribute 1500 leaflets by 5 people = 6 hours

The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.

An exponential function is a function that is in the form: m = ab^x

Where:

F(x) = 3^x

3^2 = 9

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Answer: $284.20

Step-by-step explanation:

In the picture

Answer:

give me 2 minutes and I will

Answer:

If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither

Step-by-step explanation:

Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none

Answer:

2(m+8)

Step-by-step explanation:

5(m+2) -3(m-2)

= 5m+10-3m+6

= 2m+16

= 2(m+8)

Answer:

Step-by-step explanation:

[tex]\begin{aligned}& 5(m+2)-3(m-2) \\\\=& 5 m+5 \times 2-(3 m-6) \\\\=& 5 m+10-3 m+6 \\\\=&(5 m-3 m)+(10+6) \\\\=& 2 m+16\end{aligned}[/tex]

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

Answer:

CD = 13.75

Step-by-step explanation:

Focus on only half of the rectangle as a triangle

We'll use pythagorean theorem to find the unknown side

[tex]10^{2} +CD^{2}=17^{2}\\CD^{2} = (17^{2} - 10^{2})\\CD^{2}=\sqrt{189} \\CD = 13.75[/tex]

Answer:

Step-by-step explanation:

i can't solve without seeing the prism

Answer:

1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.

Zn+2HCl→ZnCl2+H2

Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.

2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).

S8+24F2→8SF6

3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.

Fe3 = 55.8457 × 3 = 167.5371

O4 = 15.9994 × 4 = 63.9976

167.5371 + 63.9976 = 231.5347 (231.535 rounded)

Therefore, the molecular mass of ferric oxide is 231.535.

4. The percentage composition of chlorine in CaCl2 is derived as follows:

The molecular mass of the entire compound is:

Ca = 40.078 × 1 = 40.078

Cl2 = 35.4527 × 2 = 70.9054

40.078 + 70.9054 = 110.9834 (110.983 rounded)

The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:

Ca = 40.078 ÷ 110.983 = 0.361

Cl2 = 70.9054 ÷ 110.983 = 0.639

Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.

5. i. a, c, f, h

ii. e

iii. b, d, g, i

iv. i

Step-by-step explanation:

PENN FOSTER

The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).

The given chemical equation is:

[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]

To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 1

Chlorine (Cl) atoms: 1

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])

Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])

The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.

Balanced equation:

[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]

Now, the equation is balanced with the following number of atoms on both sides:

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2

Chlorine (Cl) atoms: 2 (2 from HCl)

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from H2)

Chlorine (Cl) atoms: 2 (from ZnCl2)

Identification of reactants and products:

Reactants: Zn (zinc) and HCl (hydrochloric acid)

Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)

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Answer:

Ok, to find MAD, you have to add up all of the decimals in the set, and then divide by how much decimals there are in the set.

Adding them all up...

The final result of the adding is 56.7

Now, we have to divide by how much decimals.

We now have. 56.7 / 6

Do the division.

56.7 / 6 ===> 9.45

No need to round, the final answer is 9.4

Answer:

b=133 and c=47

Step-by-step explanation:

b+47=180

b=180-47=133

b=133

and

c=b+133=180

c=180-133=47

c=47

x           - inf            - 8              1/5              + inf

x+8                   -     0       +                +

5x-1                  -               -          0     +

result               +      0      -          ║     +

x+8/(5x-1) > 0 if x € ] -inf ; - 8[ U ] 1/5 ; + inf [

=> x < - 8 and x > 1/5

The solution to the inequality (x + 8)/(5x - 1) ≤ 0 is:

x ∈ (-∞, -8] ∪ [1/5, ∞)

We have,

To solve the inequality (x + 8)/(5x - 1) ≤ 0,

We can use the following steps:

Step 1:

Find the critical values of x where the expression (x + 8)/(5x - 1) is equal to zero or undefined.

The expression is undefined when the denominator is equal to zero:

5x - 1 = 0

x = 1/5

The expression is equal to zero when the numerator is equal to zero:

x + 8 = 0

x = -8

Therefore,

The critical values are x = -8 and x = 1/5.

Step 2:

Create a sign chart to determine the sign of the expression (x + 8)/(5x - 1) for each interval between the critical values.

On the interval (-∞, -8), the expression (x + 8)/(5x - 1) is negative if x + 8 is negative, which means x < -8.

On the interval (-8, 1/5), the expression (x + 8)/(5x - 1) is positive if both the numerator and denominator are negative, or if both are positive.

The numerator is negative on this interval, so the expression is positive if the denominator is negative, which means x < 1/5.

On the interval (1/5, ∞), the expression (x + 8)/(5x - 1) is negative if the numerator is negative and the denominator is positive, which means x > 1/5.

Step 3:

Write the solution in interval notation.

Therefore,

The solution to the inequality (x + 8)/(5x - 1) ≤ 0 is:

x ∈ (-∞, -8] ∪ [1/5, ∞)

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The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

[tex]\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?[/tex]

It is required to find the missing value in the second equation.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

[tex]\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)[/tex]

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

[tex]\rm y = -2x+4 \\\\\rm 2x+y=4[/tex](multiply both the sides by 3)

[tex]\rm 6x+3y=12[/tex] ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

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Answer:

a = 26

Step-by-step explanation:

29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23

135 + a / 7 = 23

135 + a = 161

a = 26

Answer:

higher

Step-by-step explanation:

should be higher since 6 x 15 is 90, which is far away from 150

Answer:

should be higher

Step-by-step explanation:

because 6×15=90 and 90+19 is lower than 150

Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches

Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]

                                      [tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

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Answer:

[tex](\frac{2}{3})^{4}[/tex] written in simplest form is [tex]\frac{16}{81}[/tex]

Step-by-step explanation:

When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is [tex]\frac{2}{3}[/tex] and the exponent is 4, so you can write the expression as [tex]\frac{2^{4}}{3^{4}}[/tex]. [tex]2^{4}[/tex] is 16, and [tex]3^{4}[/tex] is 81, so the fraction is [tex]\frac{16}{81}[/tex].

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

Answer:

[tex] - 3 \frac{1}{6} \div ( - 1 \frac{4}{9} ) \\ \\ - \frac{19}{6} \div ( - \frac{13}{9} ) \\ \\ - \frac{19}{6} \times ( - \frac{9}{13} ) \\ \\ - \frac{19}{2} \times ( - \frac{3}{13} ) \\ \\ = \frac{57}{26} = 2 \frac{5}{26} = 2.1923[/tex]

Answer:

2 5/26

Step-by-step explanation:

1) convert 3 1/6 to improper fraction. Use this rule: a b/c = ac+b/c

- 3 * 6 + 1/ 6 ÷ -1 4/9

2) Simplify 3*6 to 18.

-18+1/6 ÷ -1 4/9

3) Simplify 18 + 1 to 19.

-19/6 ÷ -1 4/9

4) convert 1 4/9 to improper fraction. Use this rule: a b/c = ac+b/c

-19/6 ÷ -1*9+4/4

5) Simplify 1 * 9 to 9

-19/6 ÷ -9+4/9

6) Simplify 9 + 4 to 13.

-19/6 ÷ -13/9

7) Use this rule: a ÷ b/c = a × c/b

-19/6 × 9/-13

8) Use this rule: a × c/d = ac/bd

- 19*9/6*-13

9) Simplify 19 * 9to 171

-171/6*-13

10) Simplify 6 * -13 to -78

-171/-78

11) Move the negative sign to the left.

-(-171/78)

12) simplify 171/78 to 57/26

-(-57/26)

13) Remove parentheses.

57/26

14)  Convert to mixed fraction.

2 5/26

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:f(x) = g(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 2 = - {x}^{2} + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x + 2 - 4 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x - 2 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0 [/tex]

[tex]\qquad \sf  \dashrightarrow \:x(x + 2) - (x + 2) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 2)(x - 1) = 0[/tex]

Hence, x = -2 or x = 1

Answer:

blank space 1: 120

blank space 2: 85

Step-by-step explanation:

you subtract 35 from it

Answer:

I would say that a is NOT an inverse, however b is.

Step-by-step explanation:

If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.

While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.

Hope this helps you btw. I'm sorry if it doesn't though.

Answer:

(4, 1 )

Step-by-step explanation:

x + 6y = 10 → (1)

x + 5y = 9 → (2)

subtract (2) from (1) term by term to eliminate x

0 + y = 1

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

x + 6(1) = 10

x + 6 = 10 ( subtract 6 from both sides )

x = 4

solution is (4, 1 )