Ali has x cards.
Belinda has twice as many cards as Ali.
Charlie has 5 more cards than Ali.
They have a total of 33 cards.
(a) Show that 4x + 5 = 33
(b) Work out the number of cards Ali has.

Answer:

12

Step-by-step explanation:

Plug the given values into the equation to solve.

a² - b²

(4)² - (-2)²

16 - 4

12

Answer:

The number before a variable. For example, 4x. 4 would be the coefficient, and x would be the variable.

Answer:

A numerical or constant quantity placed before and multiplying the variable in a algebraic expression

Answer: Pretty sure the answer is C

Step-by-step explanation:

Answer: -4,-3,-2,-1,0,1,2,3

Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.

Answer:

false

Step-by-step explanation:

an integer is any number greater or less than 0

Answer:

3 liters is equvilent to 6.34 pints

Step-by-step explanation:

Answer:

Real:

Imaginary:

Complex:

Step-by-step explanation:

A real number is a number that exists in real life.

An imaginary number is a number that doesn't exist, hence it has the letter i in it.

A complex number consists of a real number and an imaginary number.

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Answer:

2(2x - 5)(2x + 5)

Step-by-step explanation:

[tex]8x^{2} -50[/tex]

First pull out 2.

2[tex](4x^{2} -25)[/tex]

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4[tex]x^{2}[/tex] + 10x - 10x - 25

4[tex]x^{2}[/tex] - 25      Can't forget to multiply by 2!

2 (4[tex]x^{2}[/tex] - 25 )

8[tex]x^{2}[/tex] - 50

Answer:

Mean: 8,75

Median: 7,5

Step-by-step explanation:

To find Mean

To find the mean data you have to put data all set in order:

3, 4, 6, 6, 9, 12, 15, 15

Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:

3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70

There are 8 numbers in the data so divide 70 by 8:

70 ÷ 8 = 8,75

----

To find Median

The median is in the middle number of the data that already in order. Which is number 6 and 9.

Median = (6 + 9) ÷ 2

Median = 15 : 2

Median = 7,5

Answer:

x =3

y =5

Step-by-step explanation:

Solve by substitution

[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]

ANSWER - BY DIVIDI.G BOTH THE SIDES OF THE EQUATION BY THAT FRACTION  BUT TO DIVIDE BY A FRACTION .WE FLIP THAT FRACTION AND MULTIPLY.

HOPE IT HELPS

Answer:

39 hours

Step-by-step explanation:

Mary earns an hourly wage of $13

plus a $90 bonus.

Her total paycheck shows she received $597

Subtracting the bonus we get;

$597 - $90 = $507

1 hour -> she gets $13

how many hours will she get $507

Cross multiplying gives;

[tex]\frac{507}{13} * 1 = 39[/tex] hours

Answer:

Step-by-step explanation:

$597 - $90 = $507     - payment for hours only

507÷13 = 39

Answer:

b = c(5 - a)

Step-by-step explanation:

Given

a + [tex]\frac{b}{c}[/tex] = 5 ( subtract a from both sides )

[tex]\frac{b}{c}[/tex] = 5 - a ( multiply both sides by c to clear the fraction )

b = c(5 - a)

The value of b form the equation a + b/c = 5  will be b = c(5 - a)

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

Given;

a + b/c = 5

subtract a from both sides;

b/c  = 5 - a

multiply both sides by c to clear the fraction;

b = c(5 - a)

Hence, The value of b form the equation a + b/c = 5  will be b = c(5 - a)

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

We start off with 50 as our room temperature.

Then we subtract off 4h to indicate the temperature drops 4 degrees per hour

You can think of it like this

1 hour = drop by 4 degrees

h hours = drop by 4h degrees (multiply both sides by h)

So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after

Solving for h leads to

50-4h < 32

-4h < 32-50 ... subtract 50 from both sides

-4h < -18

h > -18/(-4) ... divide both sides by -4; note the inequality sign flips

h > 4.5

If you go beyond 4.5 hours, then the temperature will be below 32 degrees

notes:

After 1 hour 46

After 2 hour 42

After 3 hour38

After 4 hour 34

After 4 (1/2) hour 32

Answer:

20 episodes

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

9 [tex]\frac{51}{100}[/tex]

Answer: 9 51/100

Step-by-step explanation:

STEP 1. Convert it into improper fraction

9.51=951/100

STEP 2. Convert improper fraction into mixed fraction

951 ÷ 100=9 R 51

9 51/100

Hope this helps!! :)

Please let me know if you have any question

Answer:

Subtraction property of equality

Step-by-step explanation:

[tex]x+1=-2\\[/tex]

Move 1 to the [tex]x = -2-1\\simplify\\\\x = -3[/tex]right and change its sign

Answer:

Last one

Step-by-step explanation:

Gabriella's step is justified by the substraction property of equality.

● x + 1 = -2

Gabriella substracted 1 from both sides

● x + 1 - 1 = -2 - 1

● x = -3

Answer:

36/16, 36:16, 36 to 16

Step-by-step explanation:

all above are correct

you can write ratios 3 different ways

Answer:

3

Step-by-step explanation:

QC=2x

RC=3x

QR=15

THEREFORE,

QC+RC=QR

=>2x+3x=15

=>5x=15

=>x=15/5

=>x=3

Answer:

Step-by-step explanation: 0 because it is not considered a natural number.

Answer:

see below

Step-by-step explanation:

[tex] \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \times 12^2} [/tex]

[tex] ~~~~~~~~ = 8 + i \times \sqrt{12^2} [/tex]

[tex] ~~~~~~~~ = 8 + 12i [/tex]

Answer: D) neither

Step-by-step explanation:

If you plug in any of the given coordinates, the answer is always incorrect

Answer:

x=3

Step-by-step explanation:

3 square ft

Answer:

[tex]Quotient = 17[/tex]

Step-by-step explanation:

Given

[tex]\frac{-1019}{-57}[/tex]

Required

Determine the quotient

[tex]\frac{-1019}{-57}[/tex]

Start by dividing the numerator and denominator by -1

[tex]\frac{1019}{57}[/tex]

The quotient is the integer division of two numbers;

[tex]\frac{1019}{57} = 17.8771929825[/tex]

Since, we only need the integer part;

[tex]Quotient = 17[/tex]

None of the given options answer the question

===========================================

Explanation:

x = amount (in inches) the spring is stretched

y = force applied (in pounds)

y = kx for some constant k, since x and y vary directly

---------------

Plug in the given info that x = 5 and y = 150 pair up together

Solve for k

150 = k*5

150/5 = k

k = 30

The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.

---------------

Plug in y = 180 to solve for x

y = 30x

180 = 30x

30x = 180

x = 180/30

x = 6

The spring will be stretched 6 inches if you apply a force of 180 pounds.

Answer:

answer is B

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

The number line is the straight line where all the numbers are expressed and when we represent this line we usually use intervals of the same length to express the numbers. For example, the numbers 0, 1, 2, 3, 4 would have the same distance between them since there is one integer between each of them.

The number line also has negative numbers, so the integer to the left of the zero is -1, then we have -2, -3, etc.

In this example we are told that the integer 3 is 3 units from 0 on the number line, this number is 3 units from zero to the right (positive numbers). So, as we said before, if we move 3 units from 0 but to the left we would be 3 units from 0 but on the side of negative numbers and thus, the integer that is also 3 units from zero on the number line is -3.

Answer:

x = -5, 5

Step-by-step explanation:

Step 1: Write out equation

-x² - 8 = -33

Step 2: Add 8 on both sides

-x² = -25

Step 3: Divide both sides by -1

x² = 25

Step 4: Take square root on both sides

x = ±5

Step 5: Arrange

-5 < 5

So x = -5, 5