4. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7,
find the smallest possible value of m
​

Answer:

1020

Step-by-step explanation:

well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023

then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020

that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

Answer:

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Answer:

one solution

Step-by-step explanation:

3x + 6 =- 1 - 3 + 4x

Subtract 3x from each side

3x-3x + 6 =- 1 - 3 + 4x -3x

6 = -4+x

Add 4 to each side

6+4 = -4+4+x

10 =x

One solution

Answer:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

Step-by-step explanation:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

Answer:

He deposited 16 $5 bills.

Step-by-step explanation:

State your variables

let x be the number of $1 bills

let y be the number of $5 bills

Create a system of equations

x + 5y = 200       (eq'n 1 -- for amount of money)

x + y = 136           (eq'n 2 -- for number of bills)

Solve the system for y

I will solve using substitution.  Rearrange eq'n 2 to isolate variable x.

x + y = 136

x = 136 - y           (eq'n 3)

Substitute eq'n 3 into eq'n 1.

x + 5y = 200

136 - y + 5y = 200

136 + 4y = 200

4y = 64

y = 16

Solve for x to check answer

Substitute y = 16 into eq'n 2.

x + y = 136

x + 16 = 136

x = 120

Substitute x = 120 into eq'n 1.

x + 5y = 200

120 + 5(16) = 200

120 + 80 = 200

200 = 200

LS = RS          Both sides are equal, so the solution is correct.

Therefore, Jack deposited 16 five dollar bills.

Answer:

a) $26.4

b) $324

Step-by-step explanation:

Hire purchase is the purchase of an item which can be paid instalmentally.

The bicycle costs $300 for an instant purchase.

For a hire purchase, a $60 deposit must be made and the rest paid instalmentally over 10 months. An interest of 10% is included in the outstanding balance

The outstanding balance after paying deposit= $300 - $60 = $240

Hence, 10% of 240 = 10/100 × 240 = 24

An interest of $24 is added.

Therefore, a total of $240 + $24 = $264 will be paid for the next 10 months.

a) Hence, the amount to be paid in instalment each month is $264/10 = $26.4

b) the total cost of buying the bicycle by hire purchase= deposit amount + instalment price

= $60 + $264

= $324

Hence, a total of $324 will be paid for the bicycle by hire purchase.

N.B: $300 is the sale price + $24 interest

Answer:

  14

Step-by-step explanation:

The rectangle has side lengths of 3 and 4. There are two of each length, so the total length of all the sides is ...

  P = 2(l +w) = 2(4 +3) = 2(7)

  P = 14 . . . . units

================================================

Explanation:

The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.

(angle 7) + (angle 8) = 180

(angle 7) + 124 = 180

angle 7 = 180 - 124

angle 7 = 56 degrees

Answer:

The measure of angle 7 is 56°.

Step-by-step explanation:

here, angle 8 = 124°

now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)

or, 124°+angle 7=180°

or, angle 7=180°-124°

Therefore, tge measure of angle 7 is 56°.

Hope it helps.

Answer:

8.1

Step-by-step explanation:

Answer:

68.26%

Step-by-step explanation:

The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:

[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]

From the normal distribution table, Area between z equal -1 and z equal 1  = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%

About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).

Answer:

About 4.44

Step-by-step explanation:

Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:

40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.

40-x+x= x + 2x + 3 (2x)

40 = 3x + 3 (2x)

40 = 3x + 6x

40= 9x

40/9 = 9x/9

x= 4.44

Note: 2x represents doubling up the sales amount, which was left.

3x represents tripling the sales amount left.

Answer:

3x + 4y ≥ 82

Step-by-step explanation:

3x + 4y ≥ 82

we can read as: 3 time of right answers of true/false plus 4 times of right answers of multiple choice must be bigger or at least 82

Answer:

c.the area method

Step-by-step explanation:

A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.

In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers

Therefore the option c is correct

Answer:

c.the area method

Step-by-step explanation:

c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method   c.the area method  c.the area method

Answer:

i) x = 65°       ii)  x = 60°     iii)  x = 34°

  y = 50°           y = 80°           y = 124°

Step-by-step explanation:

i) x = 180-115= 65°

  y = 65+65= 130

     =  180-130= 50°  

ii) x = 90+30= 120

         180-120= 60°

   y = 60+20= 80

         180-80 = 100

         180-100= 80°

iii) y = 34+90= 124

    x = 180-124= 56

           56+90= 146

           180-146= 34°

I hope this helped, mark me brainliest please :)

Answer:

The angle is determined by dividing 360 by the number of vertexes that it took to complete the circle. The tangent of the 100th triangle would be the same respectively.

Step-by-step explanation:

I remember learning this in kindergarten.

Answer:

(x - y)(x + y)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

Consider the factors of the coefficient of the [tex]y^{4}[/tex] term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)

The factors are - 1 and - 4 , thus

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x² - y²)(x² - 4y²)

Both of these factors are differences of squares which factor in general as

a² - b² = (a - b)(a + b) , so

x² - y² = (x - y)(x + y)

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y)

Hence

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form

Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]

Compute the  probability that exactly 2 buyers would prefer red car as follows:

[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]

                [tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 week, it will cost her the same at either company

h(x) = 5x - 5

Step-by-step explanation:

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5

Answer: Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. In one week there are 7 days, therefore in x weeks the cost of rentals are given below:

For company A: f(x) = 15(7x)

For company B: g(x) = 100x + 5  

h(x) = f(x) – g(x) represents the difference between the two rate structures.

h(x) = f(x) - g(x) = 15(7x) - (100x + 5)

h(x) = 105x - 100x - 5

h(x) = 5x - 5

If Marguerite rents for 2 weeks:

The cost for company A = 15(7x) = 15(7 × 2) = $210

The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 weeks:

The cost for company A = 15(7x) = 15(7 × 1) = $105

The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105

If Marguerite rents for 1 week, it will cost her the same at either company

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

h(x) = 5x + 5

those are the answers on edge

Step-by-step explanation:

Answer:

Quota Sampling

Step-by-step explanation:

Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.

In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling.  These subgroups would give a proper representation of the preschool children in local daycare centers.

Answer:

88

Step-by-step explanation:

The key to this question is combining the two fractional pieces we know about. Namely, Hermione has 1/4 of the books and Ginny has 1/2 of them. This means that between the two of them, they account for 3/4 of the library.

So what does that mean? Well, it means that the books Ron and Hermione have (22 in total) account for the remaining 1/4 of the library. So then the whole library is [tex]4*22=88[/tex].

Answer:

A. 243

Step-by-step explanation:

just multiply the next number by 3

81*3= 243

Answer:

[tex]\boxed{243}[/tex]

Step-by-step explanation:

The ratio can be found by dividing a term in the sequence by the previous term.

[tex]\frac{27}{9} =3[/tex]

Each term gets multiplied by 3 to get the next term.

[tex]81 \times 3 = 243[/tex]

There's a bit of ambiguity in your question...

We know that [tex]f^{-1}(-15)=7[/tex], which means [tex]f(7)=-15[/tex].

I see three possible interpretations:

• If [tex]f(x)=k\sqrt2+x[/tex], then

[tex]f(7)=-15=k\sqrt2+7\implies k\sqrt2=-22\implies k=-\dfrac{22}{\sqrt2}=11\sqrt2[/tex]

• If [tex]f(x)=k\sqrt{2+x}[/tex], then

[tex]f(7)=-15=k\sqrt{2+7}\implies -15=3k\implies k=-5[/tex]

• If [tex]f(x)=\sqrt[k]{2+x}[/tex], then

[tex]f(7)=-15=\sqrt[k]{2+7}\implies-15=9^{1/k}\implies\dfrac1k=\log_9(-15)[/tex]

which has no real-valued solution.

I suspect the second interpretation is what you meant to write.

Answer:

18.18%

Step-by-step explanation:

Percent change formula:

(new amount - old amount)/(old amount) * 100%

new amount: 6500

old amount: 5500

percent change:

(6500 - 5500)/5500 * 100% = 18.18%

Answer:

18.18%

Step-by-step explanation:

1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11

=18.18%

Answer:

8

Step-by-step explanation:

Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:

[tex]S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft[/tex]

Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.

Answer:

The answer is C: 32 ft

Step-by-step explanation:

If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.

Answer:

The completed table is

x | 0 | 6 | 12

y | 0 | 2 | 4

Step-by-step explanation:

It is given that y is (1/3) as large as x. That is,

y = (x/3)

x | 0 | 6 | 12

y | ? | ? | ?

y = (x/3)

When x = 0,

y = (0/3) = 0

when x = 6,

y = (6/3) = 2

when x = 12,

y = (12/3) = 4

The completed table is thus

x | 0 | 6 | 12

y | 0 | 2 | 4

Hope this Helps!!!

The values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.

Given,

y is 1/3 times as large as x.

So, [tex]x=3y[/tex].

We have to calculate the value of x when y is given .

1. when [tex]y=0[/tex]

Then, [tex]x=0[/tex]

2.when, [tex]y=6[/tex]

Then, [tex]x=18\\[/tex]

3. When [tex]y=12[/tex]

[tex]x=3\times 12\\x=36[/tex]

Hence, the values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.

For more details follow the link:

https://brainly.com/question/11897796

Answer:

The number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours

Step-by-step explanation:

Given:

56s=70t

s=t+1/2

Solution

56s=70t

s=t+1/2

Substitute s=t+1/2 into 56s=70t

56s=70t

56(t+1/2)=70t

56t+28=70t

28=70t - 56t

28=14t

Divide both sides by 14

28/14=14t/14

2=t

t=2

Recall,

s=t+1/2

s=2+1/2

=4+1/2

s=5/2

Or

s=2.5 hours

Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.

Indeed, If you multiply 2 by 42 you'll get 4.

Of course, if a number is n× larger than another, then this other is n× smaller than the first one.

It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.

plz mark me as the Brainleist plz

Answer:

x=1

Step-by-step explanation:

f(x)=27

y=27(x)

x=1

y=27

Answer:

X=10

Step-by-step explanation:

the triangle is a right angled triangle so use pythagoras theorem a^2+b^2=c^2

x^2+(√200)^2=(√300)^2

x^2+200=300

x^2=300-200

x^2=100

x=√100=10

X=10