Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4

How much does she save and how much does she spend?

Saving = ?
Spending Money = ?

Answer:

(-6, -4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-5x + y = 26

2x - 7y = 16

Step 2: Rewrite Systems

-5x + y = 26

Step 3: Redefine Systems

y = 5x + 26

2x - 7y = 16

Step 4: Solve for x

Substitution

Step 5: Solve for y

5.702 cm

hoping this helps

Answer: You need to wait at least 6.4 hours to eat the ribs.

t ≥ 6.4 hours.

Step-by-step explanation:

The initial temperature is 40°F, and it increases by 25% each hour.

This means that during hour 0 the temperature is 40° F

after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

T = 40° F + 0.25*40° F = 1.25*40° F

after another hour we have another increase of 25%, the temperature now is:

T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2

Now, we can model the temperature at the hour h as:

T(h) = (40°f)*1.25^h

now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

So we have:

(40°f)*1.25^h = 165° F

1.25^h = 165/40 = 4.125

h = ln(4.125)/ln(1.25)  = 6.4 hours.

then the inequality is:

t ≥ 6.4 hours.

Answer:

40 × 1.25 ^ t greater or equal to ( >) 165

Step-by-step explanation:

As we have to use the number 0-6 once to make 2 equivalent ratios.

so lets solve the problem.

Determining first equivalent ratio

as

and

so

Therefore, first equivalent ratio

[tex]\:\frac{5}{32}=\frac{10}{64}[/tex]

Determining second equivalent ratio

[tex]\frac{13}{65}=\frac{4}{20}[/tex]

as

[tex]\frac{13}{65}=\frac{1}{5}[/tex]

and

[tex]\frac{4}{20}=\frac{1}{5}[/tex]

Therefore, second equivalent ratio

[tex]\frac{13}{65}=\frac{4}{20}[/tex]

Both can be simplified to 1:2.

To create two equivalent ratios using the numbers 0-6 once, we first need to understand that a ratio compares two quantities and equivalent ratios can be simplified or expanded from one another by the same factor. Here, we select the numbers carefully to form such ratios.

Let's use the numbers 2, 3, 4, and 6. The ratio of 2:4 is equivalent to 3:6 because when both sides of the first ratio are multiplied by 2, the result is the second ratio. Therefore, the ratios 2:4 and 3:6 are equivalent because they express the same relationship between numbers, as both can be simplified to the ratio of 1:2.

Step-by-step explanation:

you are such a b

Answer:

6.75 round to 7

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

6.75 is closer to 7, because it is 0.25 from 7 and 0.75 from 6. Since 0.75>0.25, 6.75 rounds up to 7 hours a day. Hope this helps!

Given:

[tex]$\frac{80}{4 x}>4[/tex]

To find:

The solution set for the inequality.

Solution:

If the greater number of the set satisfies the inequality, then that set is the solution set.

Option A: {2, 4, 6, 8}

Greater number = 8. Thus substitute x = 8 in given expression.

[tex]$\frac{80}{4 \times 8}>4[/tex]

[tex]$2.5>4[/tex]

This is not true because 2.5 < 4.

It is not solution set.

Option B: {3, 6, 9, 12}

Greater number = 12. Thus substitute x = 12 in given expression.

[tex]$\frac{80}{4 \times 12}>4[/tex]

[tex]$1.67>4[/tex]

This is not true because 1.67 < 4.

It is not solution set.

Option C: {1, 2, 3, 4}

Greater number = 4. Thus substitute x = 4 in given expression.

[tex]$\frac{80}{4 \times 4}>4[/tex]

[tex]$5>4[/tex]

This is true because 5 is greater than 4.

It is the solution set.

Option D: {3, 4, 5, 6}

Greater number = 6. Thus substitute x = 6 in given expression.

[tex]$\frac{80}{4 \times 6}>4[/tex]

[tex]$3.33>4[/tex]

This is not true because 3.33 < 4.

It is not solution set.

Hence {1, 2, 3, 4} is the solution set for the expression.

Answer:

Step-by-step explanation:

3rd choice is correct

Answer:920 × 0.74

= 680.8

Answer:

68.08

Step-by-step explanation:

Answer:

choice A.  line BC = line EF

Step-by-step explanation:

we need the sides  BC = EF

This is the side between the congruent angles.

For the congruence of the triangles, AB ≅ DE, BC ≅ EF, or CA ≅ FD should be congruent. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are congruent, then the ratio of the corresponding sides will be one.

If any two sides and one angle of the triangles are congruent, then the triangles are congruent.

Or if any two angles and one side of the triangles are congruent, then the triangles are congruent.

In the figure, the two angle of the triangle are congruent.

For SAS postulate, then the sides will be

AB ≅ DE

BC ≅ EF

CA ≅ FD

Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

[tex]\frac{3x^2}{x^2-6x-7}[/tex]

Step-by-step explanation:

The first step is to find the multiplied out numerator and denominator, and then to simplify if possible. For the numerator, 3x*x=3x^2. For the denominator, (x+1)(x-7)=x^2-6x-7. This gives a final fraction of [tex]\frac{3x^2}{x^2-6x-7}[/tex]. Hope this helps!

To find the area of a circle with a diameter of 6, divide the diameter by 2 to get the radius, then use the formula Area = πr² with the calculated radius, resulting in an area of 28.26.

Using either the exact value of π (pi) or its approximation 3.14, we substitute the radius into the formula to calculate the area.

Using π, the area is:

A = π(3)² = 9π

Using the approximation of 3.14 for π, the area is:

A = 3.14(3)² = 3.14(9) = 28.26

So, the area of the circle is either 9π square units or approximately 28.26 square units if you use 3.14 for π.

Answer:

Yes it is

Step-by-step explanation:

when you dived -14 by 4 you will get -3.5

Answer:

22,000

Step-by-step explanation:

When you are rounding, anything from 1-4 you round down, and any number 5-9 you round up. So, in this case the middle would be 500, but since the number is 119, it is 22,000.

Answer: 22000

Step-by-step explanation:

22,119 to the nearest thousandth

Thousand has 3 zeros at the back

Looking at the last 3 figures

It is not up to 500,so it is rounded up as 0

Therefore, nearest thousandth is

=22000

Answer:

The perimeter of the figure is 86.53 meters

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a semicircle, plus the sum of the legs of the right triangle

step 1

Find the circumference of a semicircle

The circumference of a semicircle is given by the formula

[tex]C=\pi r[/tex]

we have

[tex]r=29/2=14.5\ m[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]C=(3.14)(14.5)=45.53\ m[/tex]

step 2

The sum of the legs of the right triangle is equal to

[tex]20+21=41\ m[/tex]

step 3

Perimeter of the figure

[tex]45.53+41=86.53\ m[/tex]

Step-by-step explanation:

9z=-25+22

9z=-3

z= -3/9

z=-1/3

Answer:

5.2 times 10^1

Step-by-step explanation:

the first number should be less than ten.

Answer: [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex]

Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.

So here, we have 5.4 and notice that there

is only one digit to the left of the decimal point.

Next, we count the number of places the decimal point would

need to move to get back to the original number, 54.

Since we would need to move the decimal point 1 place to the right,

we have an exponent of positive 1.

Now, scientific notation is always expressed as a number between 1 and 10 including 1 but not 10 and it is multiplied by 10 to a certain power that must be an integer.

So we have [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex]

Notice that the exponent is positive.

This is because we would need to move the decimal point to the right in order to get back to the original number.

So 54 can be written in

scientific notation as [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex].

Answer:

C. three sides measuring 5 in, 12 in, and 14 in.

Step-by-step explanation:

Answer:

1,1,2,3,5,8,13

Step-by-step explanation:

Given:

The given expression is [tex]\left(\frac{3}{10}\right)^{3}[/tex]

We need to determine the value of the given expression.

Value of the expression:

Let us determine the value of the expression.

The value of the expression can be determined by simplifying the given expression.

Applying the exponent rule, [tex]\left(\frac{a}{b}\right)^{c}=\frac{a^{c}}{b^{c}}[/tex], we get;

[tex]\left(\frac{3}{10}\right)^{3}=\frac{3^{3}}{10^{3}}[/tex]

Since, the value of 3³ is 27 and the value of 10³ is 1000, substituting these values, we get;

[tex]\frac{27}{1000}[/tex]

Hence, the value of the expression is [tex]\frac{27}{1000}[/tex]

Thus, Option b is the correct answer.

Answer:

[tex]\frac{27}{1000}[/tex]

Step-by-step explanation:

I got it right on edg. 2020.

Answer:

B. x

Step-by-step explanation:

-3x+8y=-6

3x-2y=-12

if we add these

-3x+3x+8y-2y=-6-12

6y=-12      so x will be eliminated

Final answer:

When solving a system by elimination, the variable eliminated is the one with coefficients that add up to zero when equations are combined.

Explanation:

When solving the following system by elimination, which variable would be eliminated after adding the 2 equations together?

When adding the two equations together in a system, the variable that will be eliminated will be the one that has coefficients with additive inverse values. For example, if one equation has x and the other has -x, adding them would result in the elimination of the x variable.

After adding the two equations together, look for a pair of variables that will cancel each other out, resulting in the elimination of one variable.

Answer:

should be $410.81 for living room

Step-by-step explanation:

13 x 15.5 x 12 = area

area x 2 = two coats of paint on area

two coats of paint on area divided by 400

multiply that by 33.98

Answer:

$135.92

Step-by-step explanation:

Just chose Bedroom 3 because it has whole numbers, none of the other rubbish.

The interior surface area of the bedroom can be calculated by the formula:

2lw + 2wh + 2lh

The surface area is 816 feet squared.

Since we are painting the room twice, we can just double this value for the sake of the next step.

The cost per gallon of paint is $33.98.

Each gallon covers 400 ft^2.

The number of gallons required is (816*2)/400, which is 4.08 gallons. If we approximate that we require 4 gallons, then the total cost will be $33.98*4 = $135.92.

Answer:

60

Step-by-step explanation:

2 times 150

Answer:

The initial value is 300 bunnies

Step-by-step explanation:

we know that

The equation of a exponention growth function is given by

[tex]y=a(1+r)^x[/tex]

where

y is population of a bunnies

x is the number of years

a is the initial value

r is the rate of change

we have

[tex]a=300\\r=20\%=20/100=0.20[/tex]

substitute

[tex]y=300(1+0.20)^x[/tex]

[tex]y=300(1.20)^x[/tex]

therefore

The initial value is 300 bunnies

Answer:i think its 1,3,4

Step-by-step explanation:

Answer:

6 coins

Step-by-step explanation:

3 dimes

1 nickel

2 pennies

Answer: 6 coins

Step-by-step explanation:

Pennies = 1c

Nickels = 5c

Dimes = 10c

10 * 3 dimes = 30c

30c + 5c (a nickle) = 35c

35c + 2 pennies = 34

Therefore, the lowest amount of coins is 6 (3 dimes, 1 nickle, and 2 pennies)

Answer:

Step-by-step explanation:

hello :

2x+5 11-3x x²+4x

x=3 : 2(3)+5+11-3(2)+(3²)+4(3) ...continu

Answer:

11

2

21

Step-by-step explanation:

Since the value of x is given we will have to substitute into each of the equation

So let's start

2x+5

And x is given to be 3

2(3)+5

6+5

11

11-3x

11-3(3)

11-9

2

X^2+4x

(3)^2+4(3)

9+12

21

Answer:

z=100

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

180-80=100

Answer:

The answer is D

Step-by-step explanation:

I know because I take pre- algebra.