The sum of two numbers is 24. The second number minus the first number equals 2.
Let x represent the first number. Let y represent the second number.

Write a system of equations to represent the situation.
First sentence: First Equation:
Second Sentence: Second Equation:
*Do not include spaces in your equations.
Part 2: Find the numbers. ( , )

Given:

Angle 1 = 90 (An)

Angle 2= 45 (An)

Angle 3 = 36 (An)

Angle 4 = 50 (An)

Angle 5 = 20 (An)

Answer: 12

Step-by-step explanation:

Answer:

Might be wrong but 27. Hope this helps

Answer:

48 girls!

Step-by-step explanation:

boys = 6x

girls = 8x

6x = 36

x = 36/6 = 6

girls = 8x = 8 x 6 =  48

I hope im right!

Answer:

16.5

Step-by-step explanation:

Answer:

16.50

Step-by-step explanation:

5.50 divided by 2 is 2.75

2.75 times 6 is 16.50

Answer:

m= 340 × 0.68h

Step-by-step explanation:

Given that

You take 340 mg of the certain medication

And, the amount of medication would be reduced by 32% per hour

So we need to the find the function for M(h)

Here M denotes the milligrams

And, the h denotes the hours

So, the function would be

m = 340 × (1 - 0.32)h

m= 340 × 0.68h

The same would be considered and relevant

Answer:

The Ross family used it for 15 hours

The Watson family used it for 20 hours

Step-by-step explanation:

We can rewrite this word problem using variables.

[tex](x*40)+(y*20)=1000[/tex] and [tex]x+y=35[/tex]

Now we can split 35 between x and y. Since 35 can't be split into a whole number, I have split it into 17 and 18

(17*40) + (18*20) = 1040

This is close but 40 too much. Since this is 40 off, we need to move 2 more hours to the Watson family.

(15*40) + (20*20) = 1000

This means -

The Ross family used it for 15 hours

The Watson family used it for 20 hours

Answer:

explain abit about it

please l don't understand

Answer:

Rational

Step-by-step explanation:

any number that can be written in fraction form is a rational number

hope this helps

Answer:

72 ft

Step-by-step explanation:

Here, we want to get the maximum height the ball will reach

the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation

So we need firstly, the vertex of the given quadratic equation

The vertex can be obtained by the use of plot of the graph

By doing this, we have it that the vertex is at the point (3,72)

Thus, we can conclude that the maximum height the ball can reach is 72 ft

Option D

...................

Answer:

A prism reflecting light in straight lines.

Step-by-step explanation:

Prisms don't focus light nor diffract. They reflect. I don't think prisms reflect light into wavelengths either. Also, as you can see the rays of light are reflecting in straight lines. Therefore, the prism is reflecting light in straight lines.

Step-by-step explanation:

[tex]57.12 {m}^{2} [/tex]

is the area of given figure

Answer:

Step-by-step explanation:

The area of the figure is a sum of area of a rectangle 4 m × 8 m and a half of area of a circle with radius of 4 m.

A = 4×8 + 0.5×π×4² = 32 + 32π ≈ 32 + 32×3,14 = 132.48 m²

Answer:

Y = 5.8

X = 2.887

Step-by-step explanation:

to get X

to get Y

Answer:

y - 5.8

x - 2.887

pleasee mark Brainliest

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

Answer:

Step-by-step explanation:

180

Answer:

slope= -3

Step-by-step explanation:

i hope this helps :)

Answer:

b

Step-by-step explanation:

When you see things that move at a non linear rate, it means that it is not a straight line. Automatically, you can eliminate A and D because the lines there between those numbers are straight. Now we have two non linear lines left and there is only one that is decreasing (going down and it is the line between -2 and 0.

Hope this helped :)

Answer:

483.84

Step-by-step explanation:

Answer:

483.84

Step-by-step explanation:

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4    Subtract 4 from both sides:

x^2 + 16x - 15 = 0  is one equation with  the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

[tex]n(A)=14[/tex]

[tex]n(B)=11[/tex]

[tex]n(A\cup B)=20[/tex]

We know that,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=14+11-n(A\cap B)[/tex]

[tex]20=25-n(A\cap B)[/tex]

Subtract both sides by 25.

[tex]20-25=-n(A\cap B)[/tex]

[tex]-5=-n(A\cap B)[/tex]

[tex]5=n(A\cap B)[/tex]

We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].

[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]

[tex]n(A\cap B')=14-5[/tex]

[tex]n(A\cap B')=9[/tex]

Therefore, 9 people have a school certificate only.

Answer:

Tuvieron que comprar 3.73 kg.

Step-by-step explanation:

Para obtener la  respuesta, tienes que encontrar a cuántos kilogramos equivalen 8.3 libras de dulces y para esto puedes utilizar una regla de tres teniendo en cuenta que 1 libra es igual a 0.45 kilogramos:

    1 libra    → 0.45 kilogramos

8.3 libras   →             x

x=(8.3*0.45)/1=3.73 kg

De acuerdo a esto, la respuesta es que tuvieron que comprar 3.73 kg.

Answer:

x=5

Step-by-step explanation:

11^X=11²×11³

11^X=11^5

x=5

Answer:

Anwer is x=5

Step-by-step explanation:

11^x-3=11

11^x-3= 121

x-3=2

add 3 both side

x=5 help this help 5 star please :)

The percentage of fish which will have the lengths  within 1 standard deviation of the mean is 68%.

Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.

According to empirical rule,

68% of the data lies in the standard deviation of ±1.

95% of the data lies in the standard deviation of ±2.

99.7% of the data lies in the standard deviation of ±3.

Given,

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation.

According to the Empirical Rule, 68% of the fish will have lengths within 1 standard deviation of the mean.

Hence the required percentage is 68%.

Learn more about Empirical Rule here :

https://brainly.com/question/30700783

#SPJ5

Answer:

Both or neither

Step-by-step explanation:

If you input them into a calculator, then they have very similar slopes, and both go the same direction.

Sorry that I can't give you an absolute answer.

Hope that this helps!

Answer:

$21.75

Step-by-step explanation:

Divide $7.25 by 4 then multiply what you get from that by 12

Answer:

D. HFE is congruent to FHG

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Congruency.

Since here the congruency satisfied is SAS (side-angle-side)

hence the correct option is

D.) ∆HFE =~ ∆FHG

60+40=x

y=x+9

MInus

x=100

y=109

Diffrence 9

Answer:

x = -20

y = -11

Answer:

$1,800

Step-by-step explanation:

Given

Total revenue last year = $2,800

If they spent 1/4 of their revenues on marketing;

Amount spent on marketing = 1/4 * 2800

Amount spent on marketing = $700

Remaining money = 2800 - 700

Remaining money = $2100

If 1/7 of the remaining money is spent on upgrading their facilities, then;

Amount spent on upgrading facilities = 1/7 * 2100

Amount spent on upgrading facilities = $300

Total amount spent on marketing and facilities  = $700 + $300

Total amount spent on marketing and facilities  = $1000

Amount left = $2,800 - $1,000

Amount left = $1,800