How can you use a number line to compare any two numbers

Using a system of equations based on the ratio of baskets made by Mr. McDonagh to Ms. Klein (13 to 2) and the information that Mr. McDonagh made 22 more baskets than Ms. Klein, we determine that Ms. Klein made 4 baskets and Mr. McDonagh made 26 baskets.

To solve how many baskets each person made, we will set up a ratio and use algebra to find the number of baskets made by Mr. McDonagh and Ms. Klein. We are given that for every 13 baskets Mr. McDonagh made, Ms. Klein made 2. Let's denote the number of baskets Mr. McDonagh made as M and the number of baskets Ms. Klein made as K.

According to the ratio, we can write [tex]\frac{M }{ K} = \frac{13 }{ 2}[/tex]. We also know that Mr. McDonagh made 22 more baskets than Ms. Klein, which can be written as M = K + 22. Now we have a system of equations:

[tex]\frac{M }{ K} = \frac{13 }{ 2}[/tex]

M = K + 22

Substitute M in the first equation with (K + 22):

[tex]\frac{K+22 }{ K} = \frac{13 }{ 2}[/tex]

2(K + 22) = 13K

2K + 44 = 13K

44 = 11K

Divide both sides by 11:

K = 4

Ms. Klein made 4 baskets. Now we can find how many baskets Mr. McDonagh made by substituting K back into one of our original equations:

M = 4 + 22

M = 26

Mr. McDonagh made 26 baskets.

Answer:

B) 37%

Step-by-step explanation:

Given,

The total base pay and commission = $ 52561,

While, base pay = $ 23690,

So, the amount of commision = Total base pay and commission - base pay = $ 52561- $ 23690 = $ 28871,

Also, total sale = $77,300,

Hence, the rate of the commission( in percentage )

[tex]=\frac{Commission}{Sale}\times 100[/tex]

[tex]=\frac{28871}{77300}\times 100[/tex]

[tex]=\frac{2887100}{77300}[/tex]

[tex]=37.3492884864\%[/tex]

[tex]\approx 37\%[/tex]

Option 'B' is correct.

Answer:

5, 19, 24, 46, 77, 98

Step-by-step explanation:

Just write the numbers in order (I am assuming from least to greatest).  You can use a number line if necessary.

Hello! I'm guessing you need someone to solve this equation!

4(5x-6)=2(8x+10)

20x-24=16x+20

Add 24 on both sides!

20x=16x+44

Subtract 16x on both sides!

4x=44

Divide 4 by 44

x=11

The percent of change is 45%.

This can be found, by simply dividing 18, by 40, which would give you 0.45, then multiplying 0.45 by 100, to make it a percentage.

I hope this helps!

Volume of cube = ( side)^3

Side = 6 feet = 6×12 = 72 inches ( 1ft =12 inch)

Vol. = (72)^3 = 72×72×72= 373248 cubic inches

Answer:

6

Step-by-step explanation:

$50 less each week $200 divided by 4

Myra withdraws the same amount of money from her checking account each week.

In 4 weeks, she withdraws a total of $200.

Let she withdraws t amount from her account each week

Then, 4t=$200

t= $ 200/4

i.e. t= $50

So, amount in her account becomes $50 less each week

i.e. If she had $x in her account

then after w weeks amount in her account will be:

x - 50w

Answer:

960 sprinkles

Step-by-step explanation:

If 24 cookies call for EXACTLY 384 sprinkles, then 16 sprinkles fit on each cookie. 384/24 = 16

If 16 sprinkles fit on each cookie, 16 cookies on 60 cookies would be 960.

60 x 16 = 960

Answer:

Its 960

Step-by-step explanation:

I did it on khan academy, and got it right!

Solution:

Let starting map of youth center has Dimension (Preimage)

1 unit of y= k units

1 unit of x = t units

The new map of youth center which is 3 times larger than original(Image)

1 unit of y= 3 k units

1 unit of x = 3 t units

Image = 3 × Pre- image

The image is larger than Pre- image.

So, Scale of the new map = 3 × The original dimension of map.

Answer:

the answer is 1 in: 4 ft

Step-by-step explanation:

i took the test and hopefully i’ve helped you luv

f(x) = 2x + 1

To find the inverse, f^-1(x), of the function:

Put the function as an equation:

y = 2x + 1

Then move x to the left and y to the right;

x = 2y + 1

Then solve for y;

y = x/2 - 1/2

f^-1(x) = y

f^-1(x) = x/2 - 1/2

Actually neither is greater.

these two numbers are equal to each other.

All because 8.720 has an extra number doesn't mean its greater. Because the number place is 0 is gives no significant value and is therefore the same as 8.72.

The bottom line is...

8.72 = 8.720

The answer to this question is 380

Answer:

380 dollar.

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = [tex]\frac{437}{1.15}[/tex]

x = 380

Initially his pay was 380 dollar.

Answer:

A is the answer

Step-by-step explanation:

The graph of the equation y = -4x+7 is a line that shows the set of all solutions of the equation.

"The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not.

The equation of line is a linear equation with a degree of one"

"The equation of a line can be formed with the help of the slope of the line and a point on the line."

Here is the equation of the line is given,

y = -4x + 7

since, it is the equation of a line, it contains all the solutions on the graph.

Hence, option A is the correct option.

To know more about equation of motion here

https://brainly.in/question/16516318

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Answer:

Air left in the Tyre after 1 week = 21.36 psi

Explanation:

 Initial psi level = 38 psi

 Psi level after 1 day = 35 psi

 Percentage of remaining of air per day = (35/38)*100 = 92.10%

 Ratio of remaining air per day = 0.921

 Ratio of remaining air after 7 days = 0.921⁷ = 0.562

 Percentage of remaining air after 7 days = 56.21%

 Air left in the Tyre after 1 week = 38*56.21/100 = 21.36 psi

The student's question is about calculating the expected tire pressure at the end of a week, based on a consistent daily percentage decrease from an initial 38 psi to 35 psi. It involves a mathematical analysis using exponential decay, which is a high school level mathematics topic.

The question involves finding the projected tire pressure after a week given an initial pressure of 38 psi that has decreased to 35 psi in one day. The percentage decrease from 38 psi to 35 psi is calculated first, and then this percentage is consistently applied to find the remaining pressure after 7 days using exponential decay since the tire loses the same percentage of air each day.

Step 1: Calculate the percentage decrease.

Initial pressure (yesterday) = 38 psi

Current pressure (today) = 35 psi

Percentage decrease = ((38 - 35) / 38) x 100%

Step 2: Apply this percentage decrease for 7 days using the formula:

Pn = P0 * (1 - percentage decrease)^n

Where:

Pn is the pressure after n days

P0 is the initial pressure

n is the number of days

By calculating P7, we can find the expected pressure at the end of the week.

Step 3: Substitute the known values and calculate the expected pressure after 7 days.

Answer:

0.4545 kgs.

Step-by-step explanation:

Given that 1 kg weighs approximately 22 pounds.

i.e. 1kg= 22 lbs.

We can use this to convert lbs into kg.

22 lbs = 1 kg

Hence 1 lb = 1/22 = 0.04545 kg

Now to find out the equivalent weight for 10lbs,

we have conversion factor as 1 lb= 0.04545 kg

Hence 10 lbs = 10(0.04545) = 0.4545 kgs

Hence 10 pounds written in equivalent kgs would be0.4545 kgs.

It was would numbers 000-000-0000 through 999-999-9999. So that would be 9,999,999,999 + 1 = 10 billion different 10-digit phone numbers.

To solve this, first add -9b on both sides of the equation to get the variable on only one side of the equation.

2b+4=-18-9b

2b+9b+4=-18-9b+9b

11b+4=-18

Then subtract 4 from both sides of the equation.

11b+4=-18

11b+4-4=-18-4

11b=-22

Divide 11 on both sides of the equation to find the values of b.

[tex]\frac{11b}{11}[/tex]=[tex]\frac{-22}{11}[/tex]

b=-2

t<-4

Mariana only wears her coat when it is colder than -4 so t must be less than -4.

Answer: t < -4

Step-by-step explanation:

We want to represent temperatures colder than -4 C

In mathematical terms, we want to represent temperatures less than -4 C

t < -4

[tex]-3+7=4[/tex]

[tex]-10-2=-12[/tex]

[tex]4>-12[/tex]

The focus is (1,0)  

Hope this helps!

Answer:

focus is (1,0)

Step-by-step explanation:

the focus of a parabola with equation [tex]y^2=4x[/tex]

Focus point lies inside the parabola

To find the focus of a parabola we need to find the vertex

the distance between the focus and vertex is the value of p.

Focus point is (h+p,k)

Where (h,k) is the vertex

Given equation is in the form of [tex](y-k)^2=4p(x-h)[/tex]

Given equation can be written as [tex](y-0)^2=4(x-0)[/tex]

So the vertex is (0,0)

Now we find the value of p

[tex]4p = 4[/tex]

So [tex]p=1[/tex]

Focus is (h+p,k) that is (1,0)

10.125 as a percentage is 1012.5%

Answer:

10.125 = 1012.5%

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}[/tex]

therefore

[tex]a=a\cdot100\%[/tex]

----------------------------------------------

[tex]10.125=10.125\cdot100\%=1012.5\%[/tex]

The squirrel will collect a total of 252 acorns in the 21 days before the winter storm. This is calculated by multiplying 12 acorns/day by 21 days. Instead of retaliating against a bear, the squirrel should focus on preparing for winter.

If the squirrel collects 12 acorns a day and there are 21 more days until the big winter storm, we can calculate the total number of acorns the squirrel will collect. We do this by multiplying the number of acorns collected per day by the number of days remaining, which gives us:

12 acorns/day × 21 days = 252 acorns

After 21 days, the squirrel will have accumulated 252 acorns more than the original amount she had before the given 21-day period.

Regarding what the squirrel should do to get even with the bear for eating the acorns, it's important to remember that animals in nature often have to deal with challenges like this. The squirrel could focus on collecting more acorns, perhaps finding a better hiding place to store them, to prepare for the winter storm. However, revenge actions, such as retaliating against the bear, are not advisable nor part of natural behaviors in wildlife, and focusing on preparations for winter would be a more practical approach for survival.

(1-52/2+5)=(1-26+5)=(-25+5)=-20

continuing:

-20*2*6*6= -40*6*6=-240*6=-1440

result: -1440

[tex]2<\sqrt5<3\\\\\text{because}\\\\2^2=4\\(\sqrt5)^2=5\\3^2=9\\\\2^2=4<(\sqrt5)^2=5<3^2=9[/tex]

Integers are positive and negative numbers without decimal points.

The square root of 5 is between 2 and 3

The number is given as:

[tex]\mathbf{n = \sqrt{5}}[/tex]

Evaluate the square root

[tex]\mathbf{n = 2.2361}[/tex]

The above number is greater than 2 but less than 3.

So, we can say that:

2.2361 is between 2 and 3

Hence, the square root of 5 is between 2 and 3

Read more about integers at:

https://brainly.com/question/11337513

Answer:

B

Step-by-step explanation:

It would be -1.25 degrees at noon.