1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?

2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.

Answers

Answer 1

Answer:

1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)

Step-by-step explanation:

1.)

Let j = Jill's age.

[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]

Therefore, Jill is 11 and Jack is 14.

2.)

[tex]x^2+7x+12\\(x+4)(x+3)[/tex]


Related Questions

What the answer question

Answers

Answer:

117.79

Step-by-step explanation:

the total number of snares of stock in the Bulls Corporation is 650,000. Tyier owns 12% of the shares. How many shares of the Bulls Corporation stock does he own?​

Answers

Answer:

650000/12% and in fraction 650000devide by 12% you will get 541.`6

John needs $8,000 to buy a car. So far, he has saved $5,600. What percent of the price of the car has he saved

Answers

Answer:

70%

Step-by-step explanation:

So 5600/8000 is the fraction and 80 = 1% so 5600/80 will be your answer

Nala has 'n' marbles. Paul has three times as many marbles as Nala. Nala loses 5 marbles and Paul buys 10 marbles. Together they now have 105 marbles. Write down and solve an inequality in 'n'

Answers

Answer:

Step-by-step explanation:

Nala's marbles = n

Paul's marbles = 3n

nala loses 5 marbles

so nala's marbles = n - 5

paul buys 10 marbles

so paul's marbles = 3n + 10

Total marbles = 105

so,

n - 5 + 3n + 10 = 105

By transposing,

n + 3n = 105 - 10 + 5

4n = 100

n = 100 / 4

n = 25

Hope this helps

plz mark as brainliest!!!!!!!

I NEED HELP ON THE PROBLEM!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!!

Answers

Answer:

A.) As x increases, the rate of change of g exceeds the rate of change of f

Step-by-step explanation:

Let's take the options given and look at them to actually know which is true.

Option A

We notice that as x increase in value the rate of change of g starts exceeding the rate of change of f.

Then it's exceeds it from the value x = 5

Option B

At x= 4.39

F= 2616.689

G= 2606.657

They are different values

Option C

That's opposite of option A

But option A is true which signify option C to be false

Option D

Not true also.

We can see from x= 0 to 4 the rate of change of F exceeds that of G

Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2

Answers

Answer:

16/7

Step-by-step explanation:

16k / 7k

Divide the numbers

16/7  

Divide the variables

k/k = 1

16/7

1,400 is 10 times as much as 140- true or false

Answers

Answer:

True

Step-by-step explanation:

140 * 10 = 1400

True

1,2,3,5 and 7 are all common factors of two numbers. Write down the digit that the two numbers must end in? pls explain briefly

Answers

Answer:

9 or 11

Step-by-step explanation:

Write the fraction as a decimal.

Answers

Answer:

0.5625

Step-by-step explanation:

9÷100=0 5625 in decimal mark me as a brainlist answer

Answer:

1.5625

Step-by-step explanation:

9/16=0.5625

therefore, 1.9/16=1.5625= 1.563

The greatest number which on dividing 1657 and 2037 leaves nemainder 6 ands respectively is?​

Answers

Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

The translation of ABCD to A'B'C'D'
is given by (×+[?].y-[ ]).

Answers

Answer:

(x + 1 , y - 3)

Step-by-step explanation:

Compare x-coordinate of A(-6,1) and A'(-5,-2)

-6 + a = -5

      a = -5 +6 = 1

x- coordinate of A' = x coordinate of A + 1

Compare y-coordinate of A(-6,1) and A'(-5,-2)

1 + a =-2

      a = -2 - 1 = -3

y- coordinate of A' = y coordinate of A - 3

A(-6 , 1) = A'(-6+1 , 1-3) = A'(-5, -2)

D(( -1 , 1) = D'(-1+1, 1 - 3) = D'(0,-2)

C(-2,3) =C'(-2+1, 3-3) = C'(-1,0)

B(-4,3)= B'(-4+1 , 3-3) = B'(-3,0)

Answer:

1, 3

Step-by-step explanation:

How to do this question plz answer my question step by step plzz plz plz plz plz ​

Answers

I hope this helps you!

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft

Answers

Answer:

Hey there!

1 gallon=400 square feet

2 3/8 gallon= 400 (2 3/8) square feet

2 3/8 gallon= 950 square feet.

Let me know if this helps :)

A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?

Answers

The correct answer is $15

Explanation:

The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.

1 cup of oil per batch x 5 batches = 5 cups of oil

This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.

12 cups of oil = $36   1. Write the values

5 cups of oil  = x      

12 x = 180           2.  Cross multiply this means 36x 5 and 12 multipy by x

x = 180 ÷ 12        3. Solve the equation

x=  15 - Cost for 5 cups used in the batches

Solve the inequality 5x < 16 +x.
x < 1/4
x>1/4
x<4
x>4

Answers

Answer:

[tex]x<4[/tex]

Step-by-step explanation:

[tex]5x<16+x[/tex]

[tex]5x−x<16[/tex]

[tex]4x<16[/tex]

[tex]x < \frac{16}{4} [/tex]

[tex]x < 4[/tex]

Hope it is helpful....

Answer:

x<4 is the answer

Step-by-step explanation:

Given the function f(x) = x2 + 8x – 12, what is the
value of f(2)?

Answers

Answer:

f(2) = 8

Step-by-step explanation:

f(x) = x^2 + 8x – 12

Let x = 2

f(2) = 2^2 + 8*2 – 12

     = 4 + 16 -12

        =20-12

        = 8

Answer:

[tex]f(x) = {x}^{2} + 8x - 12 \\ f(2) = (2)^{2} + 8(2) - 12 \\ = 4 + 16 - 12 \\ f(2) = 8[/tex]

I hope I helped you^_^

Can someone give me an example on how to solve non right angled triangles?

Answers

First use the

Pythagorean theorem to find the hypotenuse h of the right triangle.

h = √(62 + 82)

= √(36 + 64)

= 10

How many real solutions does this system of equations have?
y=x^2+1
y=x

Answers

Answer:

none

Step-by-step explanation:

y=x²+1

y=x

x²+1=x

x²-x+1=0

Disc.=b²-4ac=(-1)²-4×1×1=1-4=-3<0

so roots are imaginary.

Pls answer if you only know the correct answer! Thanks! :))

Answers

The ratio is (J/W) = 7/6. Or. J= (7/6)• W .

Second line: J= (7/6)• 24. J= 28.

Third line: J= (7/6)• 18. J= 21

Find the image of the given point
under the given translation.
P(-7,1) T(x,y) = (x + 9, y-3)
P' = ([?], []).

Answers

Answer:

P' = (2, -2)

Step-by-step explanation:

You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).

Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).

For what real numbers x is x 2 − 10 x + 25 negative?

Answers

Answer:

no real numbers

Step-by-step explanation:

x^2 − 10 x + 25

Factor

What 2 numbers multiply to 25 and add to -10

-5*-5 = 25

-5+-5 = -10

( x-5) (x-5)

This touches the graph at x =5

The parabola is positive so there are no values where the graph is negative

Answer:

No real solutions

Step-by-step explanation:

Part 1: Factoring the quadratic

The equation is in quadratic form - ax² + bx + c = 0.

Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].

[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]

Part 2: Using discriminant to determine roots

Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x  without altering the final value that the equation is equal to.

What is the least common multiple of all positive integers smaller than 8?

Answers

Answer:

420

Step-by-step explanation:

We need to find the LCM of 1, 2, 3, 4, 5, 6 and 7. The LCM of 1, 2, and 4 is 4 and the LCM of 3 and 6 is 6 so the list becomes the LCM of 4, 5, 6 and 7. The LCM of 4 and 5 is 20, the LCM of 20 and 6 is 60 and the LCM of 60 and 7 is 420.

Answer:

420

Step-by-step explanation:

Prime factorization:

7 = 7

6 = 2 × 3

5 = 5

4 = 2 × 2

3 = 3

2 = 2

1 =  1

LCM: 7, 6, 5, 4, 3, 2, 1

2 × 2 × 3 × 5 × 7  = 420

In the expression 2^3 the 2 is known as the


base

exponent

rational number

irrational number

Answers

Answer:

Hey there!

In this problem, 2 is known as the base.

Let me know if this helped :)

Answer:

The Base

Step-by-step explanation:

The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.

2 is being raised to the third power. This means that 2 is the base of the power.

3 would be the exponent in the power.

Brainilest Appreciated.

Please answer, I need help

Answers

Answer:

answer is 9

Step-by-step explanation:

p - ( q - (m +q) )

make m = 4

p = 5

q = 3

5 - ( 3 - ( 4+3) )

5 - ( 3 - 7 )

5 - - 4

= 9

Answer:

3

Step-by-step explanation:

This might look a bit confusing but its really simple when you break it down...

So what they're asking is to evaluate the problem (in other words, solve the problem.)

Step 1: Substitute the variables m = 4, p =5 and q = 3

P - (9 - (m+q)) OR

5 - (9 - ( 4 + 3)

Step 2 : Order of operation, solve in parenthesis first.

5 - (9 - ( 4 + 3))

        ( 9  -  7)

     5   -   ( 2 )

Step 3 : Solve

5 - 2 = 3

if A+B+C=π prove that sinA+sinB+sinC=4cosA/2 cosB/2 cosC/2​

Answers

Answer:

oyo archer comes here in answer your real answer it is 7 divided by 7 divided / 2 / to the answer X to other words if you're into Google with answers in churches of students

2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Ratio? A
Ratio = 9 x (3x3). B
O Ratio = 9/3
C
Ratio = 9/(3x3)
D Ratio = 8/5280

Answers

The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]

Option C [tex]Ratio =\frac{9}{3X3}[/tex]

Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Given :

Nine people fit comfortably in a 3 ft. by 3 ft. area

To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well

Ratio = number of people / total area

[tex]Raio=\frac{9}{3X3}[/tex]

To find the size of the crowd , convert yards into feet and mile into feet

1 yard = 3 miles

8 yards= 3 times 8 = 24 feet

1 mile = 5280 feet

Now we find the area in feet

[tex]24 \cdot 5280[/tex]

size of the crowd=ratio times the area in feet

[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Learn more : brainly.com/question/24367786

7x-x ............................ .

Answers

Answer:

6x

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 4 units Right by 4 units Left by 8 units Right by 8 units

Answers

Answer:

Shift right by 4

Step-by-step explanation:

Given f(x)=x^2

g(x)= x^2-8x+16

Using

Horizontal Shift theorem dealing with the question

If the graph were to be move to to the right, we must use of graph f (x-L)

Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

2) NEGATIVE MAKES GRAPH SHIFT LEFT

g(x)= x^2-8x+16

If we factorize this we have

(x-4)(x-4)

Since the two terms are the same we have (x-4)^2

Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function

Answer:

Left by 4

Step-by-step explanation:

graph x^2 and x^2 − 8x + 16 on Desmos . com

you start at f(x) and end at g(x)

A 2-gallon bottle of fabric softener costs $30.24. What is the price per pint?

Answers

Answer:

$1.89

Step-by-step explanation:

1 gallon= 8 pints

2gallons= 16pints

$30.24÷ 16= $1.89

Answer:

3.43

12 pints

Step-by-step explanation:

2 gallons = 12 pints. 30.24 divided by 12 is 3.43

A 3 liter bottle of juice costs $5.70
What is the unit price for 1 liter of juice?

Answers

Answer:

$1.90

Step-by-step explanation:

Divide 5.7 by 3 to get your answer.

[tex]\frac{5.7}{3}[/tex] = 1.9

Answer:

$1.90

Step-by-step explanation:

First, write out what you know.

So, you know that you have 3 liters.

Together, they cost $5.70.

You want to know the unit price, for 1 liter.

Therefore, you would divide $5.70 by 3:

[tex]\frac{5.70}{3}=\frac{1.90}{1}=1.90[/tex]

This means that the unit price, for 1 liter of juice, would be $1.90.

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