A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.

Please use an algebraic equation to find the answer and show your working out if possible!!

Answer:

$2.54 per gallon

Step-by-step explanation:

30.48 / 12 = 2.54

Answer:

$2.54

Step-by-step explanation:

30.54 / 12 = 2.54

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

Step-by-step explanation:

[tex] \frac{5}{8} (4x - 16) = 20[/tex]

[tex] \frac{5}{2} x - 10 = 20[/tex]

[tex] \frac{5}{2}x = 20 - 10[/tex]

[tex]x = 4[/tex]

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]

Answer:

the purchase price is $2.05

Step-by-step explanation:

The computation of the purchase price is shown below:

The purchase price is

= Cost of the sandwich - coupon amount

= $2.55 - $0.50

= $2.05

Hence, the purchase price is $2.05

Hence, the weight of each cat is [tex]68.57[/tex].

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

A lion weighs [tex]7[/tex] times as much as a leopard. The combined weight of the cats is [tex]480[/tex] pounds.

So, the weight of each cat is [tex]\frac{480}{7}=68.57[/tex].

Hence, the weight of each cat is [tex]68.57[/tex].

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Answer:

50

Step-by-step explanation:

2/100 of X=1

Multiply both sides by 100 to remove the hundred base

The resultant will be 2x=100

X= 50

Answer: f

Step-by-step explanation: I chose f because m=29.57 which is is the starting point

Answer:

your answer would be A f(x)=500(1.057)x

Step-by-step explanation:

The required exponential function, f(x), models the tons of cherries produced by Cherry Hill Orchards x years after 2012 is [tex]f(x) = 500(1.057)^x[/tex]. Option A is correct.

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where a is a constant (called the base of the exponential function) and x is the independent variable. In this function, the base a is raised to the power of x, resulting in an output value that grows or decays rapidly depending on whether the base is greater or less than 1.

Here,
The exponential growth model that can be used to represent the tons of cherries produced by Cherry Hill Orchards x years after 2012 is:

[tex]f(x) = 500(1.057)^x[/tex]

Here, 500 represents the initial tons of cherries produced by the orchard in 2012 and [tex](1.057)^x[/tex] represents the annual increase in production, compounded annually.

Therefore, the correct option is (A) [tex]f(x) = 500(1.057)^x[/tex].

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Answer:

the asnwer is

Step-by-step explanation:

infinite solutions because 2(x-2) it equals 2x-4 and that is the first euqation

making 2x-4=2x-4 which is right

Answer:

it is even too blurry to see the question

Answer:

dfjibneiuhdihsadiuhgasd

Step-by-step explanation:

you did this to my question

Answer:

height = 13.86, or 8√3

Step-by-step explanation:

using the Pythagorean theorem:

h² = 16² - 8²

h² = 256 - 64

h² = 192

h = 13.86 ft or 8√3

Answer:

the figure is missing. please provide the figure.

Answer:

0<x<2.5

Step-by-step explanation:

-16x^2+38x+5 = 0

-16x^2+40x-2x+5 = 0

ROUGH WORK

[Product=-16×5=-80, Sum=38. (Product=40×-2, Sum=40-2) (40&-2)]

BACK TO EXPLAINATION

-8x(2x-5)-1(2x-5) = 0

x = -1/8, 2.5

0<x<2.5

Answer:

they can do math (Barber, Kitchens, & Barber, 1997). ... How much flour will you need to make half of the recipe? ... 2 pinches = ____ teaspoon(s) . 11. 16 cups = ____ gallon(s). 25. 120 quarts = ____ ...

Answer:

I think is c im not that sure

Step-by-step explanation:

because im learning this today

Answer:

4782969

Step-by-step explanation:

Answer:

[tex]\sqrt[7]{3^{2}}[/tex]

Step-by-step explanation:

[tex]3^{2/7}[/tex]

^ That is 3 to the 2/7ths power. We know that. Now it needs to be in radical form. That takes a bit of thinking.

If you have a power that is less than one (like 1/2) it is can be written as a root. So say you're given [tex]2^{1/2}[/tex]. That is the same exact thing as saying [tex]\sqrt{2}[/tex]. It's the same thing. You can say it either way.

In the same way, a squared power, like [tex]2^{2}[/tex], is the same as representing it like a fraction, like [tex]2^{2/1}[/tex]. They both mean the same thing.

So by pointing these out, a fraction power = the power / the root.

If that makes sense.

So, with this in mind, let's look at what we have again.

[tex]3^{2/7}[/tex]

So we can split it up to say that 3 is raised to a 2nd power times a 1/7th power.

So we know what a 3 to the 2nd power is: [tex]3^{2}[/tex].

And since we have a fraction that's also included, we now know that is a root. So we can represent that like this: [tex]\sqrt[7]{3}[/tex].

But those two answers need to be combined. We can do that like this: [tex]\sqrt[7]{3^{2}}[/tex]

Answer: [tex]\sqrt[7]{3^{2}}[/tex]

So there it is! I hope that helped you!!

Answer:

0.775

Step-by-step explanation:

is 5he answer

Step by step

Answer:

81.9

Step-by-step explanation:

63 of 130 is 48.46%

Steps to solve "what percent is 63 of 130?"

63 of 130 can be written as:

63

130

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100.

Answer:

81.9

Step-by-step explanation:

63/100 x 130 = 81.9

Your welcome! :)

Answer:

-2x - 8 < 2

-2x < 10

x > -5

Answer:

90.49

Step-by-step explanation:

the answer is 90.49, hope this helps!

Answer:

41.18

Step-by-step explanation:

CD=22-6=16

42=1/2×6×AC

AC=14

tanθ=O/A

tanθ=(14/16)

x=tan-1(14/16)

x=41.18

The measure of the angle x in the right triangle ABD is 41.2 degrees.

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.

area of a triangle = 1 / 2 bh

where

Hence,

area of a triangle =  1 / 2 × 6 × h

42 = 3h

h = 42 / 3

h = 14 cm

DC =  22 - 6 = 16 cm

AC = 14 cm

tan x = opposite / adjacent

tan x = 14 / 16

x = tan ⁻¹ 0.875

x = 41.1859251657

x = 41.2 degrees.

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numerele care apartin si lui a si lui b sunt:

15

a/b={3,9,21,27}

b/a={5,25}

b)

in total sunt 15 numere impare pana la 30(cazuri posibile)

numai 7 numere apartin lui AUB(cazuri favorabile)

probabilitatea= cazuri favorabile/cazuri posibile

probabilitatea=7/15

crown?

Answer:

[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]

Step-by-step explanation:

[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]

[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]

Answer:

-1

Step-by-step explanation:

Answer:

X+y=25

2x+2y=50

smaller number is X

bigger one is y

3x=2y

3x-2y=0

2x+2y+3x-2y=50+0

5x. =50

X=10

X+y=25

y. =25-10

y=15