There are 5,426 people seated at tables. Each table seats 8 people.
How many tables are full?
How many people are sitting at a table that is not full?
How many tables are needed for all 5,426 people?​

Answer:

Dimension of doghouse is 4ft by 6ft

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the doghouse.

Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

Now, the area of rectangle is L * B

x * 2x/3 = 24

2x^2 = 3 * 24

2x^2 = 72

diverse both sides by 2

x^2 = 36

hence x = 6ft

The width would be 2/3 * 6 = 12/3 = 4 ft

Answer: 20 inches

Step-by-step explanation:

From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.

Hypotenuse² = length² + width²

25² = 15² + width²

width² = 25² - 15²

width² = 625 - 225

width² = 400

width = ✓400

width = 20

The width of the TV is 20 inches.

Answer:

Brainliest goes to me!

Step-by-step explanation:

5k-2k+1

3k+1

Answer:

Angle  [tex]m\angle 1 = 35^o[/tex]

Step-by-step explanation:

Our goal is to find appropriate symmetries within the given diagram, so we can use the property of the addition of internal angles of a triangle that render  [tex]180^o[/tex].

So we start by drawing a line that goes through the center of the circle and also through the vertex of angle [tex]m\angle 1[/tex]. Please see the attached image to follow the procedure. In the image, the line is a fine black line that crosses the circle completely.

Now we draw the four radii that will define clearly the central angles of [tex]100^o[/tex] and [tex]30^o[/tex] that come as information.

Then we set our efforts to analyze the two triangles (one marked with green borders, and the other one marked with orange borders. Notice that the angle on the further right for the triangle with orange borders is in fact half of the angle [tex]m\angle 1[/tex] that we need to find, so we will work our way to determine the size of it and then multiply it by two.

We need to start though with the triangle with green borders because it has more information that we can derive.

Notice that this green triangle has a central angle equal to [tex]115^o[/tex], because it has to measure the same as 180 degrees minus half of the 100 degrees angle and minus half of the 30 degree angle  in order to add to form the perfect plane angle of the circle's diameter:  

[tex]180^o-50^o-15^o=115^o[/tex]

Now, notice as well that this green triangle is an isosceles triangle (has two equal sides (both equal to the radius of the circle), and therefore the angles opposite to them must be equal. We can find the measure of either such angles by using the property of additions of internal angles of a triangle to render [tex]180^o[/tex], subtracting from it the 115 degree angle we know, and dividing the result by two:

[tex]180^o-115^o=65^o[/tex]

half of this is [tex]32.5^o[/tex]

Now we use this angle, to find its supplementary angle, which would be the angle on top of the orange triangle:

[tex]180^o-32.5^o=147.5^o[/tex]

Now all we need is to use the property of addition of internal angles for the orange triangle (of which we currently know a 15 degree angle and a 147.5 degree angle) to find what half of angle  [tex]m\angle 1[/tex]  is:

[tex]180^o-147.5^o-15^o=17.5^o[/tex]

then angle  [tex]m\angle 1[/tex] is twice this value:  [tex]m\angle 1 = 35^o[/tex]

Answer:

[tex]y\geq x[/tex]

Step-by-step explanation:

Again, let us begin by finding the equation of the line

The y-intercept is 0 and the slope is 1, so the equation of this line would be [tex]y=x+0[/tex] or just [tex]y=x[/tex]

We can see that the shaded region is ABOVE the line, so we would use a greater than (>) sign.

This as the line is shaded in, we must also include that line in the inequality. This means that we will instead use the [tex]\geq[/tex] sign.

This means that our answer would be [tex]y\geq x[/tex]

Answer:

250 minutes with the flat rate of $29.

[tex]x\leq 250[/tex]

x would be the number of minutes called.

[tex]x-250[/tex]

Tracy would be charged by $0.35 per minute.

[tex]f(x)=29\\ 0\leq x\leq 250[/tex]

[tex]f(x)=0.35(x-250)+29,\\250\leq x\leq ∞[/tex]

Answer:

3

Step-by-step explanation:

as u add 2 + 1 from the 6 and 7 hours

Complete Question:

In the triangles, TR= GE and SR=FE. If GF= 3.2 ft, which is a possible measure of TS?

Answer:

3.2ft

Step-by-step Explanation:

From the given information of the question, we can draft out the diagram of the triangles being depicted here. See attached picture showing triangles RST and EFG.

Since we are told that TR= GE, and SR = FE, it means both triangles are isosceles triangle a having 2 equal sides, and triangles RST and EFG are similar.

Also, given that the measure of the 3rd side (GF) of triangle EFG is 3.2ft, therefore, TS = 3.2ft

Answer:

c

Step-by-step explanation:

[tex](5^3)^7[/tex]

[tex]5^{3 \times 7}[/tex]

[tex]5^{21}[/tex]

Answer:3*7=21 not 10

You have to multiply the number outside brackets with the inner number

Step-by-step explanation:

Answer:

There are 14 marbles in each red jar and 2 marbles in the blue jar

Step-by-step explanation:

There are two red jars of marbles and one blue jar of marbles.

Let the number of marbles in the red jar be x.

Let the number of marbles in the blue jar be y.

There are 30 marbles in total. This means that:

2x + y = 30 _____________ (1)

The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:

x - y = 12 ______________(2)

We have a system of simultaneous equations:

2x + y = 30 _____________ (1)

x - y = 12 ______________(2)

Add them together:

3x = 42

=> x = 42/3= 14

Put the value of x in (2)

14 - y = 12

=> y = 14 - 12 = 2

Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.

Answer:

-8/3

Step-by-step explanation:

find slope

(-1,5) ( 2,-3 )

(-3 -5)/( 2-(-1)) = -8/3

Answer:

3x+2y=-1

Step-by-step explanation:

moving the numbers around, the outcome will have to be different

// have a great day //

Answer:

c) 3x - 2y = -1

Step-by-step explanation:

Given equation,

→ 3x + 1 = 2y

Conversion into standard form,

→ 3x + 1 = 2y

→ 3x + 1 - 2y = 0

→ 3x - 2y = -1

Hence, option (c) is correct.

Answer:

27 purple marbles

Step-by-step explanation:

Equations based on the given:

p= 2b +5 and  p+b= 38

Answer:28 if I’m not mistaken

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Rent paid by Julie = (1/3) of 3000

                             [tex]=\frac{1}{3}*3000\\\\=1*1000[/tex]

                             = £ 1000

Remaining amount after paying rent = 3000 - 1000 = £ 2000

Expenses : Savings = 7 : 3

Total part  = 7 + 3 = 10

Saving part = 3/10

Amount saved = (3/10) of 2000

                        [tex]=\frac{3}{10}*2000\\\\=3*200[/tex]

                        = £ 600

Answer:

B

Step-by-step explanation:

one third of £3000 = £3000 ÷ 3 = £1000

£3000 - £1000 = £2000 ← amount left after paying rent

Add the parts of the ratio, 7 + 3 = 10 parts

Divide the amount left by 10 to find the value of one part of the ratio

£2000 ÷ 10 = £200 ← value of 1 part of the ratio, thus

3 × £200 = £600

Julie saves £600 each month

Answer:

A = 90.25π

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]

r = 9.5

A = 90.25π

Answer:

[tex]\pi \times 9.5 {?}^{2} [/tex]

Answer:

1

Step-by-step explanation:

The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.

Answer:

(a)1/10

(b)1/5

(c)4/5

hope it helps

Answer:

answer for A) 1/10

answer for B) 1/10

answer for C) 8/10 given that you consider the digit '1' present in 10. if not, 9/10 is the answer

Answer:

2w

Step-by-step explanation:

weight of 1 brick = w

so to find the weight of 2, times it by 2, which leaves you with 2w

Answer:

14x=0

Step-by-step explanation:

Answer

14x+3=3

add 10x to both sides

Answer:

From the graph, the slope of line p is 3 and the slope of line q is -3.

Answer:

see below

Step-by-step explanation:

A: Some points could be (1, 7.5), (2, 7), (3, 6.5), (4, 6), (5, 5.5) and (6, 5) because the y-coordinates all represent the heights of the candle after the x hours.

B: This is a function because no input has multiple outputs.

C: It would still be a function because no input would have multiple outputs.

Answer:

Have a great day!!

Step-by-step explanation:

Part A: my rate of change was first y= - 5x + 8 the reason i put a negative sign beforehand is that when the candle melts its height it's decreasing 

(0,8),(1,7.5)(2,7)(3,6.5)(4,6)(5, 5.5)

Part B: This is a function because there is one different output for each different input

Part C: yes, it still would be a function because the numbers haven't changed and are exactly the same and it still has one input for each output.

(0,8), (1,75), (2,7), (3,6.5), (4,6), (5,5.5)

Answer:

a7=1458

Step-by-step explanation:

2; -6; 18... a geometric progression

a1=2; a2=-6; a3=18

r=a2/a1=-6/2

r= -3

a7=a1*r⁶

a7=2*(-3)⁶=2*729

a7=1458

Answer:

Perpendicular: [tex]y = \frac{5}{8}x+4[/tex]

Parallel: [tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]

Step-by-step explanation:

I'm going to rewrite the equation:

[tex]y=-\frac{8}{5} x+\frac{4}{5}[/tex]

Perpendicular means that the slope is the opposite reciprocal.

Slope = [tex]\frac{5}{8}[/tex]

[tex]y = \frac{5}{8}x+4[/tex]

Parallel means that the slope is the same but the y - intercept is different:

[tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]

Answer:

150 km

Step-by-step explanation:

The scale tells you what real distance corresponds to a distance in the drawing. 1 cm in the drawing means 60 km of real distance.

Since 2.5 cm is 2.5 times 1 cm, it represents 2.5 times 60 km of real distance.

2.5 * 60 km = 150 km

Answer:

The distance between their house on the map is 10 inches.

Step-by-step explanation:

In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:

[tex]d = 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}[/tex]

Creating the rule of three:

[tex]\frac{60}{9} \frac{\text{miles}}{\text{miles}} = \frac{x}{\frac{3}{2}} \frac{\text{inches}}{\text{inches}}\\\\9*x = \frac{60*3}{2}\\\\x = \frac{180}{18}\\\\x = 10 \text{ inches}[/tex]

The distance between their house on the map is 10 inches.

Answer:

A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).

Answer:

  b.  4.0 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the ratio of the adjacent side to the hypotenuse is given by the cosine of the angle:

  Cos = Adjacent/Hypotenuse

  cos(35°) = NL/NK

  NL = NK·cos(35°)

__

Similarly, it reminds you that the ratio of the opposite side to the hypotenuse is given by the sine function:

  Sin = Opposite/Hypotenuse

  sin(53°) = NM/NL

  NM = NL·sin(53°)

Substituting from the first triangle, we have ...

  NM = NK·cos(35°)·sin(53°)

  NM = (6.1 cm)(0.81915)(0.79864)

  NM ≈ 3.991 cm

  MN ≈ 4.0 cm

Answer:

1/3

Step-by-step explanation:

let the common fraction be x

we get,

1/6 + x = 1/2

x = 1/2 - 1/6

x = 6 - 2/12

x = 4/12

x = 1/3

1/6 + x = 1/2

1/6 + 1/3 = 1/2

3 + 6/18 = 1/2

9/18 = 1/2

1/2 = 1/2

Answer:

take the picture please or give the measurements of the rectangles

Answer:

see attachment for measurements

Step-by-step explanation: