Given the diagram of the right angle below, find the value for x. Enter a number only.
(12x-30)° (3x)°

Answer:

The values of x for the inequality |x +9| ≥ −6 are x = -3, -15.

Step-by-step explanation:

An equation of inequality is given that is |x +9| ≥ −6 that is to be solved for x.

Firstly let us understand what is an inequality;

In mathematics, inequalities specify the connection between two non-equal numbers. To be unequal is to be unequal.

Now, let us consider the given inequality;

=> |x +9| ≥ −6

Let us take this equation this way to solve which is the negative value of  terms of the bar;

=> -(x + 9) = −6

=> -x = -6 + 9

=> x = -3

Now, Let us take this equation this way to solve which is the positive value of terms of the bar;

=> x + 9 = −6

=> x = -6 - 9

=> x = -15

Therefore, the values of x for the inequality |x +9| ≥ −6 are x = -3, -15.

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The total pay for last week that Nelly earned was £180

From the information given, we have that;

For Monday - Friday

For Saturday

Double the normal rate of £8 per hour

The total hour She worked from Monday to Friday is;

= 3. 5 + 5 + 2.5 + 4 + 2

= 17 hours

From Monday to Friday

£8 × 15 = £120

£10 × 2 = £20

For Saturday

£8 × 2 = £16

£8 × 5 = £40

Total amount = £120 +  £20 + £40

Total amount = £180

Thus, the total pay for last week that Nelly earned was £180

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The area of the sector is 88.4 in² to the nearest tenth

From the question, we are to calculate the area of the sector in the given circle

Area of a circle is given by the formula,

A = θ/360° × πr²

Where θ is the angle subtended

and r is the radius

From the given diagram,

θ = 45°

r = 15 in

Thus,

Area of the sector = 45°/360° × π × 15²

Area of the sector = 1/8 × π × 225

Area of the sector =  28.125π

Area of the sector = 88.4 in²

Hence, the area of the sector is 88.4 in² to the nearest tenth

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Based on the cost of 1kg packets of chicken, it will not be possible for Mandy to buy 4 packets of 1 kg chicken.

The cost of a single packet of 1kg chicken is R40.

This means that the cost of 4 packets of 1kg chicken is:

= 40 x 4

= R160

Mandy only has R140 which means that Mandy won't have enough to buy 4 packets of chicken. The amount remaining would be:

= 160 - 140

= R20

In conclusion, it will not be possible for Mandy to buy the chicken packets.

Missing part of question:
The cost of 1kg packets of chicken is R40 per packet.

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Based on the amount of food that the dogs eat per day, a 25- pound bag would last the dogs for 40 days

First, find the number of ounces in a 25 pound bag:

= 25 pounds x 16 ounces per pound

= 400 ounces

If 10 ounces of dog food last a day, how many days will the 25-pound bag last:

= Number of ounces of dog food in the bad / Number of ounces of dog food per day

= 400 / 10

= 40 days

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Answer:

C

Step-by-step explanation:

Sqrt of 36.5 is roughly 6.0

34/5 is 6.8

From the image that we have here the coordinates of the point V is given to  be (2, –23)

The diagram gives us these values

U(-8 , 9)

w(-3, - 7)

Then we would have

- 8 + x = - 3 x2

-8 + x = -6

then x = -6 + 8

x = 2

9 + y = -7 x 2

9 + y = -14

y = -14 - 9

y = - 23

Hence the points would be V(2, -23)

the coordinates of point V are (2, -23)

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Answer: 6%, .32, 1/2

Step-by-step explanation:

if you put all of them into decimals, you get

1/2=.50

.32=.32

6%=.06

The equation that represents the distance, d, between the friends after t hours is d = √(3250t²)

From the question, we are to write an equation for the distance between the friends after t hours

From the given information,

"One heads North at 45 miles per hour, while the other heads East at 35 miles per hour"

First, we will calculate the distance each of them has traveled after t hours

Using the formula,

Distance = Speed × Time

Distance covered by the friend that heads North is

Distance = 45 × t

Distance = 45t

Distance covered by the friend that heads East is

Distance = 35 × t

Distance = 35t

Now, for the distance, d, between the two friends after t hours

Using the Pythagorean theorem, we can write that

d² = (45t)² + (35t)²

d² = 2025t² + 1225t²

d² = 3250t²

d = √(3250t²)

Hence, the equation that represents the distance, d, between the friends after t hours is d = √(3250t²)

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The given numbers ordered from least to greatest is {√7 , 2.8..., π, √17,  4.6}

First, we need to write all the given numbers in decimal form so we can accurately compare them.

The numbers are:

{4.6, √7, π, 2.8..., √17}

Rewriting all of these in decimal form:

√7 = 2.64

π = 3.14159265....

√17 = 4.12

Then the numbers are:

{4.6, 2.64, 3.14159265....,  2.8..., 4.12}

Now is easier to order these numbers, ordering them from least to greatest we will get:

{2.64, 2.8..., 3.14159265...., 4.12, 4.6}

Now, using the original notation we get:

{√7 , 2.8..., π, √17,  4.6}

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Based on the calculations, the surface area of this rectangular prism is equal to 49,408 square inches.

Given the following data:

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:

SA = 2(WH + LW + LH)

Where:

Conversion:

1 feet = 12 inches

114 feet = L inches

Cross-multiplying, we have:

L = 12 × 114

L = 1,368 inches.

Substituting the given parameters into the formula, we have;

SA = 2(8 × 10 + 1,368 × 8 + 1,368 × 10)

SA = 2(80 + 10,944 + 13,680)

SA = 2(24,704)

SA = 49,408 square inches.

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From the given box plot, it is found that:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

A box and whisker plot shows five things:

The measures are shown in order, from left to right, hence:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

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Answer:

957

Step-by-step explanation:

76x11=836

836+121=957

Answer:

The answer A) n=5

Step-by-step explanation:

Find the least common multiple.

The left denominator is "N"

The right denominator is "5"

That's how you get the answer N=5

Answer:

Answer a. n=5

Step-by-step explanation:

it really be the answer

The no. of ounce of  spearmint tea is = 60.50 ounce

the no. of ounce of  peppermint tea is =  32.49 ounce

We have been given that -

Cost of  spearmint tea = $3.15

Cost of  peppermint tea = $5.01

Cost of the mixture =  $3.80

solution-

Let the quantity of spearmint tea =  x ounce

and the quantity of peppermint tea =  y ounce

1 ounce quantity contains  spearmint tea and peppermint tea =

(x+y=1) ......eq (1)

the cost

($3.15)x +($5.01)y =  $3.80

3.15x + 5.01y = 3.80......... eq(2)

multiply equation (1) with 3.15.

∴ 3.15x +3.15y =3.15

using alligation..

Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of the desired price.

substract equation (1) and equation (2)

(3.15x + 5.01y = 3.80) -(3.15x +3.15y =3.15)

After solve the equations we get

1.86y = o.65

   y = 0.65/1.86

  y = 0.349462... per ounce

put the value of y in equation (1)

x +y= 1

x = 1-y

x = 1-0.349462

x = 0.650538 per ounce

So the quantity of spearmint tea =  93 ×x per ounce

                                                    93 ×0.650538

                                                     60.50 ounce

and the quantity of peppermint tea = 93×y per ounce

                                                             93× 0.349462

                                                             32.49 ounce

hence, the no. of ounce of  spearmint tea is = 60.50 ounce

           the no. of ounce of  peppermint tea is =  32.49 ounce

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Answer:

C

Step-by-step explanation:

Quotient is the result... Therfore 99 divided by 11 is 9

The overall change in the stock's value is [tex]1\frac{13}{24}[/tex].

A mixed fraction is a non-integer that is made up of a whole number, numerator and a denominator. An example of a mixed fraction is 1 3/4. 1 is the whole number, 3 is the numerator and 4 is the denominator.

An increase in the stock value would be represented with an addition sign whole a decrease in the stock value would be represented with a negative sign. This means that increases in stock value would be added and decreases in stock value would be subtracted.

The overall change in the stock value = increase in stock on Monday morning - decrease in stock value on Monday afternoon + increase in stock value on Tuesday morning

The overall change in the stock value :

[tex]1\frac{3}{4} - 1\frac{1}{3} + 1\frac{1}{8}[/tex]

[tex]1\frac{18 - 8 + 3}{24}[/tex] = [tex]1\frac{13}{24}[/tex]

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Step-by-step explanation:

scalar multiplication is simply done by multiplying every term of the matrix by the factor.

-1/5 A =

-5×-1/5 -15×-1/5 10×-1/5

-30×-1/5 20×-1/5 -25×-1/5

=

1 3 -2

6 -4 5

for the addition of 2 matrices imagine that each one is on a transparent slide, and you simply move both slides on top of each other, and you add all numbers for a position, that overlap each other for that position.

so,

-1/5 × A + B =

1+4 3+5 -2+ -7

6+7 -4+0 5+ -5

=

5 8 -9

13 -4 0

The dimensions of the box is a height of 8 inches, width of 32 inches and length of 40 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the shipping box. Hence:

h = (1/5) * length

Length = 5h

h = (1/4) * width

Width = 4h

Volume of the box = height * width * length = h * 5h * 4h

Width = 4h

h = 8 in

Length = 5(8) = 40 in

Width = 4(8) = 32 in

The dimensions of the box is a height of 8 inches, width of 32 inches and length of 40 inches.

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The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.

According to the statement,We have to find that the Area of the square B.

So, For this purpose, we know that the

The Area is defined because the total space concerned by a flat (2-D) surface or shape of an object.

From the given information:

The area of Square A is 121 square inches. The length of every side of Square B is 2 inches longer than the length of every side of Square A.

Then

We know that the realm of the square is a^2

Then

Given area of the square = 121.

Area = [tex]A^2[/tex]

121 = [tex]A^2[/tex]

[tex]A = \sqrt{121}[/tex]

A = 11.

The side of the square a is 11.

And The side of the square B = 11+2

The side of the square B = 13

The Area of the square B = Side * Side

Area of the square B = 13* 13

Area of the square B = 169.

Now, Increase in the area = 169 -121

Increase in the area = 48.

So, The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.

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Answer:

1.5 qt equals to 1419.529

Step-by-step explanation:

For an approximate outcome, multiply the volume value by 946.4

Answer:

26.5

Step-by-step explanation:

< CEH and < HEB are complementary angles and < CEH = 70 degrees

< AEH and < HEB are supplementary angles and < AEH = 160 degrees

Given data

line AB and line EC are perpendicular

< HEB = 20 degrees

< CEH and < HEB

< CEH and < HEB are complementary angles that is to say adding them together gives 90 degrees.

< CEH + < HEB = 90

< CEH = 90 - 20

< CEH = 70 degrees

< AEH and < HEB

< AEH and < HEB are supplementary angles that is to say adding them together gives 180 degrees.

< AEH + < HEB = 180

< AEH = 180 - 20

< AEH = 160 degrees

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Line m, because if a mirror is placed on m, only one image will be truly reflected.

In mathematics, a line of reflection is a line along which each point in a shape appears at an equal distance just on opposite side.

As a result of this, we can conclude that

The line 'm' represents the reflection line.

The line 'p' represents the symmetry line.

The line 'n' represents the asymmetry line.

Therefore, line m is the line of reflection for the given figure.

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Answer:

Por lo tanto, un cuarto de hora es igual a 15 minutos.

1/4 de hora = (1/4)*(1 hora) = (1/4)*(60 minutos) = 15 minutos

Answer:

look for the factors for the expression

8x^2-x-24x+3

x(8x-1)-3(8x-1)

(8x-1)(x-3)

Check the picture below.

[tex]\stackrel{MT}{(8x-11)} +\stackrel{BT}{(11x-1)}~~ = ~~\stackrel{MB}{12x+44}\implies 19x-12=12x+44 \\\\\\ 7x-12=44\implies 7x=56\implies x=\cfrac{56}{7}\implies \boxed{x=8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{MT}{8(8)-11}\implies 53\hspace{5em}\stackrel{BT}{11(8)-1}\implies 87~\hfill \stackrel{\textit{\large T is not the midpoint}}{MT\ne BT}[/tex]

Answer: 4 3/7

Step-by-step explanation:

try finding the biggest value u can get to and divide it. for ex : 31 divied by 7 = 28 divided by 7 plus remainder 3/7