I need help with this
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Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9   eqn 1

3p + 2q = 7    eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2

Answer:

x = 16

Step-by-step explanation:

Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.

Thus:

EG/AC = EF/AB

EG = 756

AC = (45x - 76)

EF = 1107

AB = 943

Plug in the values into the equation

756/(45x - 76) = 1107/943

Cross Multiply

756*943 = (45x - 76)*1107

712,908 = 49,815x - 84,132

712,908 + 84,132 = 49,815x

797,040 = 49,815x

797,040/49,815 = x

16 = x

x = 16

Answer:

$23,360

Step-by-step explanation:

Calculation to determine how much carol originally invested in the account

First step is to divide £23517.60 by 1.025

= (23,517.60)/(1+.025)

= (23,517.60)/1.025

=$22,944

Second step is to add back the $1,000 withdrew

=$22,944+$1,000

=$23,944

Now let calculate how much carol originally invested in the account

$23,944=1.025P

Divide both side by 1.025

P=$23,944/1.025

P=$23,360

Therefore the amount that carol originally invested in the account is $23,360

Answer:

in right angled triangle ABC

by using Pythagoras law

h²=p²+b²

x²=7²+10²

x=√149=12.21cm

Answer:

1) N^2 + 1

2) 5*N - 9

3) n*5 + 1    (con n entero)

4) n*2 + 1    (con n entero)

Step-by-step explanation:

1)  El cuadrado de un número aumentado en 1.

Podemos definir a N como el número.

El cuadrado de N es:

N^2

Y a esto lo tenemos que aumentar en 1, entonces tenemos:

N^2 + 1

Esto es el cuadrado de un número aumentado en 1.

2)  Cinco veces un número menos 8.

Esto es:

5*N  (5 veces un número)

Y a esto le restamos 8, para obtener:

5*N - 8

3) El número siguiente a un múltiplo de 5

Un multiplo de 5 se escribe como:

n*5

Donde n es un número entero.

El numero siguiente es:

n*5 + 1

4) Un número impar.

Bien, sabemos que un número par es un multiplo de 2.

Entonces:

n*2 es un número par.

Entonces, n*2 + 1 tiene que ser un numero impar.

En este caso la expresión algebraica es:

n*2 + 1

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

Additional comment

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

Answer:

Cost increases to $330.

The percent increase here would be:

= (New price - Old price )/ Old price

= (330 - 250) / 250

= 0.32

= 32%

Cost increases to $330 and charges $50 baggage fee

= (New price - Old price )/ Old price

= (330 + 50 - 250) / 250

= 0.52

= 52%

a^2 = 37^2 - 35^2

a^2 = 1369 - 1225

a^2 = 144

___

a = /144

a = 12

Answer:

96 cm^3

Step-by-step explanation:

you just multiply all the numbers :)

Answer:

1/2

Step-by-step explanation:

3/4+3/8=9/8

9/8-5/8=1/2

Answer:

1/2 is left in Luna's glass

Step-by-step explanation:

3/4 is the same as 6/8

So 6/8 + 3/8 = 9/8

9/8 - 5/8 = 4/8.

4/8 can be simplified to 2/4, which can be simplified to 1/2

Answer: 2 parallel lines

Please find the attached photograph for your answer

Answer:

The correct answer is Y = 26

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]

[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]

[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]

[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]

[tex]\mathsf{2\times13=\bf y}[/tex]

[tex]\mathsf{2\times13 = \bf 26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Growth

Step-by-step explanation:

You can simply look at this and say that this is growth because the number in the parenthesis is greater than 1.00.

It would only be decay if the parenthesis^2 resulted in a number less than 1

Answer: 9.6

Step-by-step explanation: I did a proportion, 2.4/1.5=?/6 so 6/1.5= 4 so 2.4*4= 9.6

So a person can walk 9.6 miles in 6 hours.

Hope this helps!

Answer:

a) 4sqrt3

Step-by-step explanation:

8/2=4

4*sqrt3=4sqrt3

look up 30 60 90 triangle

Answer:

3

Step-by-step explanation:

x/1= 9/3

solve to get 3

Answer:

X = 3

Step-by-step explanation:

1. Find the difference between 1 and 3. The larger triangle is being multiplied by 3

2. To find x you must divide 9 by 3 since the bigger triangle is 3 times bigger then the smaller one. X then equals 3

Hope that helps

Let me know if it is confusing

Answer:

0

Step-by-step explanation:

absolute value disregards -/+

Answer:

I think (A) One parallel line.

Step-by-step explanation:

Because there's two and simple math you would divide (width÷1).

Hope this helps! Have a good day/or night!

Answer:

this is 5 points not 30 mate

Your answer is B

Step-by-step explanation:

have a nice day

i hope this helps

mark brainliest please :)

Answer:

I believe it's 960

Step-by-step explanation:

Rect. Prism volume = 12 * 10 * 7 = 840

Pyramid = (12 * 10 * 3) / 3 = 120

Total = 840 + 120 = 960

Answer:

7%

Step-by-step explanation:

I added 8 and 6 then divided by 2

I'm taking probability and stats next year so ¡dk if its right

Answer:

42%

Step-by-step explanation:

Answer:

it is the number you are trying to solve for which would be 5

Step-by-step explanation:

Answer:

h = 45.5 ÷ 7

Step-by-step explanation:

Answer:

4+5=9

Step-by-step explanation:

a2+b=9  

Two negatives equal a positive you multiply 2, 2 times because of the power 2.

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \Longrightarrow 9 }}}}}}}}[/tex]

Step-by-step explanation:

Given,

a = - 2

b = 5

Our expression is,

a² + b.

To solve this, we need to substitute the values of a & b in the given expresssion. So,

a² + b

= (-2)² + 5

= 4 + 5 (2 negatives when mutilpied gives a positive number)

= [tex]\boxed{\sf{9}}[/tex]

___________________________

[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]