Sarah has $400 in a savings account at the beginning of the summer. She wants to have more than $150 left in her account by the end of the summer. She withdraws $25 per week. How many weeks can she withdraw money from her account and still make her goal? Write an inequality to express the situation

Answer:

Option (4)

Step-by-step explanation:

Given expression is,

[tex]\text{log}(\frac{1000a^3}{b})[/tex]

To solve this expression we will use the logarithmic properties.

[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]

                 = log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]

                 = 3 + 3log(a) - log(b)

                 = 3[1 + log(a)] - log(b)

Therefore, Option (4) will be the correct option.

Answer:

47.25

Step-by-step explanation:

9 times 10.5=94.5/2=47.25

Answer:

the answer is 3  

Step-by-step explanation:

Answer: k = 5°

Step-by-step explanation:

Answer:

The value of k is 10°

Step-by-step explanation:

Assuming that straight line is 180°. First, you have to find the angle of ZYX by subtracting 115° from 180° :

∠ZYX = 180° - 115° = 65°

Given that total angles in a triangle is 180°. So you have to add up all the angles in the triangle in terms of k :

∠XZY + ∠ZYX + ∠ZXY = 180°

4k + 5 + 65 + 6k + 10 = 180

10k + 80 = 180

10k = 180 - 80

10k = 100

k = 100 ÷ 10

k = 10

Step-by-step explanation:

2x + 7x - 10 = 180° because these rwo angles are supplementary

10x - 10 = 180°

10x = 190° divide both sides by 10

x = 19

measure of angle on the right:

8x - 10 ➡ 8 × 19 - 10 = 142°

measure of angle on the left:

2x ➡ 2 × 19 = 38°

Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

500g:3,000g

So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.

Final Simplified Ratio: 1g:6g

Hope this helped :)

Answer:

Jamie will have covered a distance of 45.08 km while Cori will be 4.8 km away

Step-by-step explanation:

Here, we want to know how far will each of both riders be in 2 hours time.

Jamie is riding 14 mph

This means the number of miles covered in two hours will be 14 mph * 2 = 28 miles

For comparison purposes, let’s convert this to kilometer.

Since 1 mile = 1.61 km, then 28 miles will be 28 * 1.61 km = 45.08 km

For Cori, he is riding at 0.04 km per minute

1 hour = 60 minutes

so 2 hours = 2 * 60 = 120 minutes

Since the speed is 0.04 km in a minute

Then the distance in 120 minutes will be 0.04 * 120 = 4.8 km

Answer:

The answer is B.

Step-by-step explanation:

0.40 km to miles 0.248548

Then 0.248548 x 120=2 hours

Answer:

17/7 (2 3/7 or 2. 428571...)

Step-by-step explanation:

f(x) = 4x-2

Find f(5)

g(x) = -2x+1

Find g(-3)

Find f(5)/g(-3)

The value of f(5)/g(-3) will be 18/7.

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function are,

⇒ f (x) = 4x - 2 and

⇒ g(x) = -2x + 1

Now,

Since, The value of the function are,

⇒ f (x) = 4x - 2 and

⇒ g(x) = -2x + 1

Hence, We get;

⇒ f (5) = 4 × 5 - 2

          = 20 - 2

         = 18

And, g (- 3) = - 2 × - 3 + 1

⇒ g (-3) = 6 + 1

            = 7

Thus, The value of f(5)/g(-3) = 18/7

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Answer:

Step-by-step explanation:

(4 + 12)/4 = 16/4 = 4

(-2 + 10)/2= 8/4 = 2

(4, 2) is 1/4 of the way from A to B

The coordinates of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

The coordinates of points A and B are A(4, -2) and B(12, 10)

The coordinates of the point that is 1/4 of the way from A to B

The above statement means that the line segment AB is divided in the ratio of 1:4 internally.

Using the section formula:

Let C be the new coordinate point:

C(x) = [1(12) + 4(4)]/(1+4)

C(x) = 28/5

C(y) = [1(10) + 4(-2)]/(1+4)

C(y) = 2/5

Thus, the coordinate of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).

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Answer:

Step-by-step explanation:

Given function

To find

Solution

Substitute x with 3 in the equation to find f(3)

Answer:

Step-by-step explanation:

For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:

h=-b/2a  and k=f(h) the point (h, k) is vertex of the function graph.

It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.

A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28

h = -28/[2•(-2)] = 7

Answer:

square numbers are numbers raised up to the power of two in essence the number multiplied by it self

Answer:

2(2x - 3)(x^2 -4)

Step-by-step explanation:

the second one

Answer:

1,3

Step-by-step explanation:

Sorry if my English is bad

or if my answer is wrong but from my understanding,

as you can recognize from the photos, we need to understand what a collinear is. Collinear are points that are lying in the same straight line. Thus, we can transform the ratio to fractions which means 1 : 3 into 1/3

Hence, the coordinate R is 1/3 between P and S.

Therefore, to determine coordinate R, we must use the formula that is provided. P is (X1, Y1), S is (X2,Y2), M1 is 1 or the Numerator and M2 is 3 or The denominator.

Answer:

150 points

Step-by-step explanation:

Since they are asking for a change, first you need to subtract the greater number by the least number. So the equation now looks like -275 - (-425), solving this using integer skills will get you a answer of 150 points.

Answer: -150

Step-by-step explanation:

The change is obtained by subtracting the original term from the second term so you do -425 + 275 = -150, the change in Sarah’s score.

Answer:

the gcf is 12

Step-by-step explanation:

.............

Answer:

The gcf is 12!

Answer:

-63

Step-by-step explanation:

Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!

Answer:

15

Step-by-step explanation:

It was very long

The price for the amount of fuel that Roselyn will use for the entire drive is $25

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

Roselyn's family lives 150 km away.

Her average speed is 60km/h

The car tank has 20 L of fuel at the beginning of the the drive.

Fuel efficiency is 6km/ L.

The cost of the fuel is $0.60/L.

The total drive is 150km.

The 6km of distance requires 1 L of fuel

Then 150 km  of the distance requires

= 150 * 1 / 6

= 150/6

= $25.

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Standard form is just putting the exponents in descending order.

Standard form: 13x^8 + 4x^5 - 16x^2

The degree of a polynomial is the largest exponential value of a term.

In this case, the degree of the polynomial = 8

Answer:

68

Step-by-step explanation:

k=-34

absolute value makes k positive

34+34

333333e33eeeeeebjkbb

the anwers is c

Answer:

6.35

Explanation:

7 divided by 20 is 0.35+6= 6.35

Answer:

1/2x³y^6

Step-by-step explanation:

Answer:

i think the answer you're looking for is 60

Step-by-step explanation:

24-9=15

45+15=60

Answer:

b=11

Step-by-step explanation:

4(b+24)=(12b+8)

4b+96=12b+8

-4. -4

96=8b+8

-8. -8

88=8b

88÷8=11

Answer:

Step-by-step explanation:

First lest us calculate the area of the rectangle

given that

length= 50ft

width= 40 ft

Area = length *width

Area=  50*40

Areaa= 2000 ft^2

given that 3/10 of the lawn is yet to be mowed

(3/10)*2000

0.3*2000= 600ft^2

Therefore the area that has been mowed is 2000-600= 1400 ft^2

1400 ft^2

since the direction of the mower is along the lenght of the lawn

area= lenght*width

1400= 50*width

width= 1400/50

width= 28 ft

[tex] \huge {\sf {{x}^{3} - 125 = 0}} [/tex]

The root of the equation.

By adding 125 to both the sides, we get

[tex] \huge {\sf { {x}^{3} = 125}} [/tex]

Take cube to the RHS (Right Hand Side), we get

[tex] \huge {\sf { x = 5}}[/tex]

The solution to the expression is x = 5.

We have,

Expression:

x³ - 125 = 0

This can be written as,

x³ = 125

Now,

Cube of 5:

5³ = 5 x 5 x 5 = 125

Now,

x³ = 5³

Cube cancels out on both sides.

x = 5

Thus,

The solution to the expression is x = 5.

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Answer:

191

Step-by-step explanation:

47+144=191

Answer:

equation: 144+ 47= 191

Step-by-step explanation: