which ordered pair is the best estimate for the solution to the system?​

Answer:

45 people are members at the tennis club

Step-by-step explanation:

Let the number of people in the tennis club be denoted as "x".

Since each of them donated $12.45, then total donated = 12.45x

Since they had $50.25 left over after paying the cost of $510 for the ball, then;

12.45x - 510 = 50.25

12.45x = 510 + 50.25

12.45x = 560.25

x = 560.25/12.45

x = 45

Answer:

x<_-3 or 2_<x<7 or A

Step-by-step explanation:

Hope it helps

Answer:

22.4 cm

100% 2021 on edge!

Step-by-step explanation:

Answer:

D. 195 cm^2

Step-by-step explanation:

The given is a trapezoid and to calculate the are of it we use the following formula :

(a+b)/2*h (a: base, b: base, h: height)

(9+21) / 2 * 13 = 195

Answer:

Step-by-step explanation:

Common difference is 3.

Let x be a term in the sequence. The next term in the sequence is x+3.

x(x+3) = 598

x² + 3x - 598 = 0

x = [-3 ± √(3²-4⋅1(-598))]/[2⋅1] = [-3 ± 49]/2 = 23, -26

-26 is an extraneous solution, so x = 23.

The two terms are 23 and 26.

Answer:

3x+2+6x+5x

Step-by-step explanation:

perimeter of triangle = side 1 + side 2 + side 3

expression of the perimeter of triangle 3x+2+6x+5x

perimeter of traingle = 14x + 6

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

To find an expression that represents the perimeter of a triangle.

The perimeter is the sum of all three sides of the triangle. We have three sides with different lengths given by the expressions 3x + 2, 6x, and 5x. To find the expression representing the perimeter, we just need to add these three sides together.

Let's represent the sides as follows:

- The first side of the triangle is denoted as "a," which has a length of 3x + 2.

- The second side is denoted as "b," with a length of 6x.

- The third side is denoted as "c," having a length of 5x.

Now, let's find the expression for the perimeter, which we'll call "P." To do that, we add the three sides together:

P = a + b + c

Substitute the given expressions for the sides into the equation:

P = (3x + 2) + (6x) + (5x)

Now, let's simplify the expression by combining like terms (terms with the same variable "x"):

P = 3x + 2 + 6x + 5x

To further simplify, add the coefficients of the "x" terms:

P = (3 + 6 + 5)x + 2

Now, add the coefficients: 3 + 6 + 5 = 14, so the expression for the perimeter becomes:

P = 14x + 2

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

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Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]

Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]

Volume of each cubic block is

[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]

Suppose, n blocks are required to measure the volume of Prism

[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]

Thus, 6 blocks are required to measure the volume of prism.

Yes that person is correct

The image of the bar chart is missing and so i have attached it.

Answer:

Bus = 75

Cycle = 20

Walk = 45

Step-by-step explanation:

We are told that 50 students said they travel to school by car.

However, in the bar chart, we see that we have a portion for boys and girls

Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.

Thus, to find the value of a unit since number of people that took cars is 50, we have;

(6x + 4x)/2 = 50

Where x is the value of one unit. Thus;

10x/2 = 50

5x = 50

x = 50/5

x = 10

Thus, a unit is 10

Under bus;

Boys have 7 units while girls have 8 units.

Thus;

Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75

Under cycle;

Boys have 1 unit while girls have 3 units.

Thus;

Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20

Under walk;

Boys have 5 units while girls have 4 units.

Thus;

Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45

Answer:

Lateral Area = 176 cm²

Step-by-step explanation:

The prism is a rectangular prism

Formula for Lateral Area of the rectangular prism = 2(l + b)*h

Where,

Length (l) = 4 cm

Breadth (b) = 4 cm

Height (h) = 11 cm

Plug in the values

Lateral Area = 2(4 + 4)*11

= 2(8)*11

= 16*11

= 176 cm²

4x2-3x+1

represents the polynomial below written in standard form

Answer:

Step-by-step explanation:

C -> Percentage of people who take cold drinks

H -> Percentage of people who take hot drinks

J - > Percentage of people who take Juice

i) At least one of drinks = 17 + 3 +15 +18 +7 + 15 + 5 = 75%

ii)  Exactly two types of drinks = Percentage of people who take cold  and hot drinks + Percentage of people who take cold and Juice + Percentage of people who take hot drinks and Juices

= 15 + 13 + 7

= 35%

iii) Exactly one type of drink =  Percentage of people who take only cold drinks + Percentage of people who take only hot drinks + Percentage of people who take only juices

= 17 + 3 + 15

= 35%

iv) None of the drinks = Total percentage - at least one of the drinks

                                    = 100 - 75

                                    = 25%

Answer:

B

Step-by-step explanation:

We do 20 percent of 2500 which comes to 1500 and then you do plus 325 which gives you 2625

Hi, you've asked an incomplete question. Attached is the full question.

Answer:

1. c and b

2. No. The definitions have opposite results.

Step-by-step explanation:

1. Two different ways Analia could define this quantity is:

2. Indeed, whatever the definition selected, they both have opposite results.

Answer:

1.C and B

2. Yes. According to both definitions, School B has the lower SAT range relative to the resources invested per student.

Step-by-step explanation:

Got it wrong  on khan and used a hint these are the answers

Answer:

25 students take both subjects.

Step-by-step explanation:

Solve for 60% of 300 students:

60/100 = x/300

Cross multiply:

60 × 300 = 100 × x

18000 = 100x

Divide both sides by 100:

180 = x

Solve for 20% of 300 students:

20/100 = x/300

20 × 300 = 100 × x

6000 = 100x

60 = x

Solve for the percentage of students in chemistry:

x/100 = 35/300

x × 300 = 100 × 35

300x = 3500

x = 11.66666...7

x = about 11.7%

Find the difference in percentages:

100 - 60 - 20 - 11.7

8.3

8.3% take both subjects

Solve for 8.3% of students:

8.3/100 = x/300

8.3 × 300 = 100 × x

2490 = 100x

24.9

About 25 students

Check your work by adding all the students together (to get to 300):

25 + 60 + 180 + 35

300 students total

This is correct!

Answer:

m<√-3 OR m<√3i

Step-by-step explanation:

f(x)=x²+2m(x+1)-3

with x<0

b²-4ac<0

(2m)²-4(1×-3)<0

4m²+12<0

4m²<-12

m²<-12/4

m²<-3

m<√-3 OR m<√3i

Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.

Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.

Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.

Hope this helps!

Answer:

<1 = 53

<2 =127

<3 = 53

Step-by-step explanation:

Angles 2 and 4 are vertical angles and vertical angles are equal

<2 = <4 = 127

<1 + <2 =180 since they form a straight line

<1 + 127 = 180

< 1 = 53

<1 and <3 are vertical angles so they are equal

<1 = <3 = 53

you just got to sum up the two fractions.

[tex]\frac{2}{3} +\frac{3}{4}[/tex] = [tex]\frac{8}{12} + \frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex]

she will need 17/12 cups of milk

hope it helps :)

Answer:

the question?

Step-by-step explanation:

Answer:

Equation of Ellipse is [tex]\frac{x^{2} }{32} +\frac{y^{2} }{36} =1[/tex]

Step-by-step explanation:

Let's find the value for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] to write the equation for vertical ellipse.

Here 'a'  is the distance from center to one of the vertices.

"b" is the distance from center to one of the Co-vertices. We need to find this using formula [tex]a^{2} -b^{2} =c^{2}[/tex]

'c' is the distance between center to one of the Foci.

In this problem center is origin.

So, a =6(because distance between(0,0) and (0,6) is 6)

c= 2 (because distance between (0,0) and (0,2) is 2)

Plug in the known values into the formula [tex]a^{2} -b^{2} =c^{2}[/tex]

36-[tex]b^{2}[/tex]= 4

Subtract both sides 36

[tex]-b^{2}[/tex] = -32

Divide both sides by -1

[tex]b^{2}[/tex] =32

So, equation would be

[tex]\frac{x^{2} }{32} +\frac{y^{2} }{36} =1[/tex]

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

Answer:

° 3/2 × 4/15

Step-by-step explanation:

for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.

Answer:

A = 18 units²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h ( b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

By counting squares

h = 3, b₁ = 3, b₂ = 9 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 9) = 1.5 × 12 = 18 units²

Answer:

x=14

Step-by-step explanation:

x - 42 = 98 – 9x

x+9x=98+42

10x=140

x=14

Answer:

[tex]x - 42 = 98 - 9x \\ x + 9x = 98 + 42 \\ 10x = 140 \\ x = 14 \\ thank \: you[/tex]

Answer:

233.05

Step-by-step explanation:

take the diameter and divide it by 2, that will give you the radius. Take the radius and multiply it by 2 then by pi. That will give you the circumference. So for the this question it would be:

71 divided by 2 = 35.5cm

35.5 x 2 x pi = 233.05

Answer:

in which class you are if you are in 7 the ans will be -3.

Answer:

30.28 yd²

Step-by-step explanation:

Area enclosed = area of trapezoid + area of semicircle

= ½(a + b)*h + ½(πr²)

Where,

a = 5 yd

b = 2 + 5 = 7 yd

h = 4 yd

r = ½(4) = 2 yd

Plug in the known values

Area enclosed = ½(5 + 7)*4 + ½(π*2²)

Area enclosed = ½(12)*4 + ½(π*4)

= 6*4 + π*2

= 24 + 2π

= 30.2831853

≈ 30.28 yd² (2 decimal places)

Answer:

Step-by-step explanation:

[tex]4[/tex] ± [tex]\frac{\sqrt{(-4)^{2} - 4(11) 8} }{2(11)}[/tex]