peggy is p years old maggie is 1 year less than 1/4 of peggys age what is maggies age in terms of p

Answer:

4 2/3

Step-by-step explanation:

7/9 multiplied by 6/1 = 42/9

Simplify: 14/3

Turn it into a mixed number: 4 2/3

The solution is ± √5

The value of the equation is given by x = ± √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

x² = 5   be equation (1)

On simplifying the equation , we get

x² = 5

Taking the radical form , radical notation is the usage of a root in an expression, such as the square or cube root

So , taking square roots on both sides of the equation , we get

The value of x = ±√5

Therefore , the value of A is ±√5

Hence , The value of the equation is given by x = ± √5

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18:

multiply both sides

move the constants to the right

calculate

I added a picture if you need it. I hope this helps

Answer:

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

Team B=2.2*4.8= 10.56

Team C : 10.56 *1.5=15.84

Answer:

it is data that you can see or describe such as he is a boy

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

lets say he gets x%, which is x/100.

then the equation is: 560/700=x/100

and to solve it, first multiply each side by 700: 560=7x

then divide both sides by 7, and you get: x=80

so the answer is 80%

Answer:

[tex]-2\frac{-1}{2}[/tex]

Step-by-step explanation:

To distribute the -6, multiply every numerator by -6, this gets you

-6/4+12/3-30/6

To put these together, they all need to have a common denominator. We can make all of the denomiators 12 by multiplying the numerator by whatever we multiply the denominators by to get 12.

-18/12+48/12-60/12

This gets you -30/12

To make this a proper fraction, divide -30 by 12 and put the whole number to the left of the fraction (-2), making a mixed number. The remainder stays a fraction which is -6/12. This reduces down to -1/2. Put -2 and -1/2 together to get [tex]-2\frac{-1}{2}[/tex]

Answer:

Transitive

Step-by-step explanation:

It's like a train. Since bc is equal to xy and xy is 8.Then the value of xy equals to bc.

Answer:

1/15 per min

Step-by-step explanation:

3 times 5 equals 15 and so 1/15.

Try making a visual picture to see yourself.

Answer: 1/44

Step-by-step explanation:

Answer:

I'm pretty sure its 56 inches squared  

Answer:

2/10, 1 1/4, 13/24, 11/24

Step-by-step explanation:

1. subtract the fractions

2. add the fractions

3. add the fractions

4. add the fractions

Answer:

[tex]y = - \frac{2}{3} x + 7[/tex]

You get this equation when you plug in the values to find out the y intercept.

Answer: N= -1/4

Step-by-step explanation:

2 can go into 5 2 times which give you 2 wholes and you have 1 left over

Since you have 3/4 that extra one left would give you a whole because you can add it to the 3/4.

Answer:

it would be b

Step-by-step explanation:

-.2 will cause reflection so eliminate a and c

if you do -1 than it will translate down so it has to be b

Answer:

f(x)= 0.2 (x - 2)^2 + 1

Step-by-step explanation:

I did the test.

Answer:

(a) 0.0329

(b) 0.3502

(c) It is not unusual for a broiler to weigh more than 1710 grams.

Step-by-step explanation:

Using the TI-84 Plus calculator:

z-score is z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

mean is 1535 grams and standard deviation is 169 grams.

(a) What proportion of broilers weigh between 1136 and 1243 grams?

For x = 1136 grams

z = (x-μ)/σ

= 1136 - 1535/169

= -2.36095

Determining the probability value from Z-Table:

= P(x = 1136)

= P(z =-2.36095)

= 0.0091142

For x = 1243 grams

z = (x-μ)/σ

= 1243 - 1535/169

= -1.72781

Determining the probability value from Z-Table:

P(x = 1243) = 0.042011

The proportion of broilers weigh between 1136 and 1243 grams is calculated as:

P(x = 1243) - P(x = 1136)

= 0.042011 - 0.0091142

= 0.0328968

≈ 0.0329

(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?

For x = 1600 grams

z = (x-μ)/σ

= 1600 - 1535/169

= 0.38462

Determining the Probability value from Z-Table:

P(x<1600) = 0.64974

P(x>1600) = 1 - P(x<1600) = 0.35026

The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502

(c) Is it unusual for a broiler to weigh more than 1710 grams?

For x = 1600 grams

z = (x - μ)/σ

= 1710 - 1535/169

= 1.0355

P-value from Z-Table:

P(x < 1710) = 0.84978

P(x > 1710) = 1 - P(x < 1710) = 0.15022

From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.

Answer:

Hypotenuse = 5 in

Longer leg = 4 in

Shorter leg = 3 in

Step-by-step explanation

The longer leg = x

The shorter leg = x - 1

Now through Pythagoras theorem:

hyp^2 = leg1^2 + leg2^2

5^2 = x^2 + (x - 1)^2

25 = x^2 + x^2 - 2 x + 1^2

25 = 2 x^2 - 2 x + 1

2 x^2 - 2 x - 24 = 0

2 ( x^2 - x - 12) = 0

2 (x - 4) (x + 3) =0

then x = 4  or x = - 3

We use the positive answer since we are looking for a length

then longer leg is 4 inches long,

and therefore the shorter one is one inch shorter than 4 in . That is:

shorter leg = 3 inches

Answer:

f(x) = 2 + x^3

Step-by-step explanation:

The function f(x)=2+x^3 satisfies all the values given in the table.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the third option C we will check all the values of x in the function.

[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]

Hence the function f(x)=2+x^3 satisfies all the values given in the table.

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Answer:

See below

Step-by-step explanation:

Solving inequality:

3 of provided answers are correct:

If given correct, any combination of two can be shown as answer:

Answer:

-12 and -9

Step-by-step explanation:

I just answered the problem on a quiz

Answer:

Step-by-step explanation:

Given the function f(x) = tan (x)

From trigonometry identity, tan (x) = sin(x)/cos(x)

f(x) = sin(x)/cos(x)

Using the quotient rule to find the derivative of the function, we will have;

f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x

f'(x) = cos²x - sin²x/ cos²x

Divide through by cos²x

f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x

f'(x) = 1 + sin²x/cos²x / 1

f'(x) = 1 + (sin²x/cos²x)

f'(x) = 1 + tan²x

From trig identity,  1 + tan²x = sec²x

Hence, f'(x) = sec²x

Hence the expression  f'(x)  in terms of the secant function is sec²x

f'(x) = 1/cos²x

For the function to be defined, it means that cos²x ≠ 0

cos²x ≠ 0

cos x ≠ 0

x ≠ cos⁻¹0

x ≠ 90⁰

Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will  becomes f'(0) = 1/cos²0 = 1/1 = 1.

Hence the function is defined at 0≤x<90

Answer:

Step-by-step explanation:

she can type 22 words in 1 minute and it takes her .045 seconds to type 1 word

she can type 110 words in 5 minutes and 220 words in 10 minutes.

Step-by-step explanation:

y-8=7 y=15

|x-2|=15 has two solutions

17,-13

Answer:

answer

(x_2)- 8=7

2x=8-7

2x=1

that's the answer

Answer: (0, 1) Usually, we put the solutions in parenthesis.

Step-by-step explanation: x(x+1) = x(2) which = x²+ x = 2x = x² + x - 2x = 0

x² - x = 0. Now we divide by x which = x(x - 1) = 0 and the new solution set is x = 0 and x -1 = 0 which equals x = 1

Answer:

$5.60

Step-by-step explanation:

Each pound of strawberries costs $5.60.

To solve: $16.80 divided by 3

Answer:

60%

Step-by-step explanation:

all you need to do is multiply this by 100 (move two decimal places to the right).

0.6--> 60

60 percent

Answer: 60%

Explanation: .6 x 100 = 60

Answer:

y - 8 = 2

thats how you would write it so idk i guess pick c because its the closest

"8 less than y" ==> y-8

"is 2" ==> =2

therefore y-8=2