Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, how many would each person get?

Answer:

The table with the missing number

1       5

2     10

5      25

10    50

Step-by-step explanation:

The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers

From the given table, we will use the first row in all cases (a = 1 and c = 5)

∵ a = 1 and b = 2

∵ c = 5

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]

→ By using the cross multiplication

∵ 1 × d = 2 × 5

∴ d = 10

∴ The first missing is 10

∵ a = 1

∵ c = 5 and d = 25

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]

→ By using the cross multiplication

∵ 5 × b = 1 × 25

∴ 5b = 25

→ Divide both sides by 5

∴ b = 5

∴ The second missing is 5

∵ a = 1 and b = 10

∵ c = 5

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]

→ By using the cross multiplication

∵ 1 × d = 10 × 5

∴ d = 50

∴ The third missing is 50

∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]

The table with the missing numbers

1       5

2     10

5      25

10    50

Answer:

w= 27.47 degree

x=9.99 cm

y=12.02 cm

Step-by-step explanation:

The value of w:

In a right-angled triangle [tex]\tan \theta = \frac {\text{Perpendicular}}{\text{Base}}[/tex]

[tex]\tan w = \frac {\text{Perpendicular}}{25+9}\;and \; \tan 63 = \frac {\text{Perpendicular}}{9}[/tex]

So, [tex]34 \tan w = 9\tan (63)[/tex]

[tex]\tan w = (9/34)\tan(63)=0.52 \\\\w=\tan^{-1}(0.52) \\\\[/tex]

w= 27.47 degree

The value of x:

In a right-angled triangle [tex]\sin \theta = \frac {\text{Perpendicular}}{\text{Hypotaneous}}[/tex]

sin (27) =x/22

x= 22sin(27)

x=9.99 cm

The value of y:

By using Pythagoras theorem,

[tex]y^2+y^2=17^2 \\\\2y^2 = 289 \\\\y^2 =289/2= 144.5 \\\\y=\sqrt {144.5} \\\\[/tex]

y=12.02 cm

Answer:

Step-by-step explanation:

Jennifer's account:

William's account can be expressed as:

Because the rate of change is 14 and y-intercept is 30

They will be same after x years, f(x) = g(x)

The accounts will be same after 5 weeks

The amount in the accounts after 5 weeks:

Answer:

5 weeks

Step-by-step explanation:

Find the equation of willam's account:

1. find rate x1-x2

44-30      plug in

14 =rate  30=y-intercept     starting valuse is always intercept

44+14=58       check

f(x)= 10x+50

f(x)= 14x+30     solve

10x+50=14x+30   set values together

20=4x        subtract 10x and 30 from both sides

x=5

Answer:

D) Negative, because the product(8)(-23) is negative and the product of (-21)(-29) is positive, and the product of a negative number and a positive number is negative number

Answer:

the answer is 6 units..

Answer:

There are 9 lemon bars left from the batch.

Step-by-step explanation:

One batch = 15 lemon bars

Josh: ate 2 lemon bars

[tex]15 - 2 = 13[/tex]

13 lemon bars remaining.

Claire: ate twice as many as Josh

Meaning: 2 × 2 = 4

[tex]13 - 4 = 9[/tex]

9 lemon bars remaining.

There are 9 lemon bars left from the batch.

Answer:

the answer is 51.4% i Believe

Answer: 6

Step-by-step explanation:

Answer:

it's equal to 6/1!!

Step-by-step explanation:

Answer:

G - 4 units

Step-by-step explanation:

Answer:

The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.

Step-by-step explanation:

I hope this helps!

Answer:

It will be B. You’ll have an open circle on 4 with the arrow pointing left.

Step-by-step explanation:

Answer:

k = 1/4 is the constant variation of 2x+8

Step-by-step explanation:

Hope it's correct  ;D

Answer:

(-4,3)

Step-by-step explanation:

I got it correct :)

The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

The equation of the line is y - 3 = 2 ( x + 4 )

The slope m = 2

Let the point be = A ( x₁ , y₁ )

The point A can be calculated from the equation of line

From the formula for equation of line , we can substitute the values and find the point A

So ,

Equation of line is y - y₁ = m ( x - x₁ )

Substituting the value of x₁ , y₁ and m in the equation , we get

y - 3 = 2 ( x - ( -4 ) 0

So , y₁ = 3

x₁ = -4

Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )

Hence , the point A is ( -4 , 3 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

Section 1

Answers:

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

Explanation:

The abbreviation d.p. means decimal places

When rounding to 2 decimal places, we look at the digit in the third decimal place value slot (thousandths place). If the value is 5 or larger, then we round up. In the case of 1.6962, the second 6 tells us to round 1.69 up to 1.70

Something like 0.4247 does not round up because that second 4 is not 5 or larger. So we just are left with 0.42

The same logic applies to three decimal places, but you'll look in the fourth slot this time.

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

Section 2

Answers:

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

Explanation:

Recall that for a number like 32500, the 0s are not significant. This is because we can write that as 3.25 * 10^4 to convey the same idea. The only significant figures are 3, 2 and 5.

So when rounding 32549 to 3 sig figs, we just pick on the three left most values, and the rest go to 0. The 325 does not round up to 326 because the '4' isn't 5 or larger. Put another way: 32549 is closer to 32500 than it is to 32600

When rounding 909520 to three sig figs, it turns into [tex]91\overline{0}000[/tex]. The line over the first '0' tells us that zero is significant. Without this bar, the zero would be considered not to be significant. The 9095 is closer to 9100 than it is to 9000, so that's why we rounded up.

Answer:

I WOULD SAY B sorry caps

Step-by-step explanation:

Answer: I did um the one with 7 and it works

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

4.4

Answer:

I think the answer is B) 4.7

Step-by-step explanation:

just to let you know I maybe wrong.

Answer:

24:56

Simplified: 8:7

Step-by-step explanation:

Answer:

C) 0i?????????????

Step-by-step explanation:

They are the same thing why would you need to add anything?

I feel bad searching this up

As the both numbers are equal 0i will be added to w to produce z , Option C is the right answer.

Complex number are represented as a+ ib , here a and b are real numbers and i is a imaginary number named as iota and it has a value of square root of -1 .

Two complex numbers are given

w = 1 +i

z = 1 +i

It has been asked what number has to be added to w to make it equal to z , as the both numbers are equal 0i , Option C is the right answer.

To know more about Complex Numbers

https://brainly.com/question/10251853

#SPJ2

Answer:

24,32,40

Step-by-step explanation:

Answer:

24,32,40

Step-by-step explanation:

hope im right!

5x³y+10xy²

we can factorise

5xy(x^2+2y)

Answer:

[tex]5^{3}[/tex]

=5*5*5

=125

Answer:

x = 15 ounces

Step-by-step explanation:

A mixture is made with two types of solutions.

Solution A - 45 ounces of 10% saline solution

Solution B - x ounces of 70% saline solution

Resulting mixture - (x + 45) ounces of 25% saline solution

To get the value of x, equation will be,

(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25

4.5 + 0.70x = 0.25x + 11.25

0.25x - 0.70x  = 4.5 - 11.25

-0.45x = -6.75

x = [tex]\frac{6.75}{0.45}[/tex]

x = 15 ounces    

Answer:

There are 41 dimes and 26 nickels.

Step-by-step explanation:

From the information given, you know that you have 67 coins which would be:

x+y=67

Also, you now that the value of each coin is:

dimes= $0.10

nickels=$0.05

With this you can say that the number of dimes for its value plus the number of nickels for its value is equal to $5.40:

0.10x+0.05y=5.40

You will have the following equations:

x+y=67 (1)

0.10x+0.05y=5.40 (2), where:

x are the number of dimes

y are the number of nickels

First, you can solve for x in (1):

x=67-y

Then, you can replace (3) in (2):

0.10(67-y)+0.05y=5.40

6.7-0.10y+0.05y=5.40

1.3=0.05y

y=1.3/0.05

y=26

Now, you can replace the value of y in (3) to find x:

x=67-y

x=67-26

x=41

According to this, the answer is that there are 41 dimes and 26 nickels.

Answer:

4 miles in 1/3 houra

Step-by-step explanation:

Which speed is the fastest? Group of answer choices LaTeX:

The formula for speed =

Distance (miles) / Time (hours)

A) 4 miles in 1/3 hours

= 4 / 1/3

= 4 ÷ 1/3

= 4 × 3

= 12 miles per hour

B)1/3 miles in 4 hours

=1/3 miles/4 hours

= 1/3 ÷ 4 miles per hour

= 1/3 × 1/4 miles per hour

= 1/12 miles per hour

C) 1/2 miles in 3 hours

= 1/2 miles / 3 hours

= 1/2 ÷ 3

= 1/2 × 1/3

= 1/6 miles per hour

The fastest speed is A, 4 miles in 1/3 houra

Given:

Samantha purchased dinner at a restaurant and spent $38 on food and beverages.

Rate of sales tax = 7%

To find:

How much will Samantha pay for sales tax in dollars and cents?

Solution:

Amount spent on food and beverages = $38

Rate of sales tax = 7%

Sales tax = 7% of $38

[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]

[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]

[tex]\text{Sales tax}=2.66[/tex]

Therefore, the sales tax is $2.66.

Answer:

The answer is 24

Step-by-step explanation:

24

Answer:

24

Step-by-step explanation:

24

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

Answer:

Solution given:

total length=15foot

splits into 2 pieces

let shorter pieces be x.

we have longer pieces =2x-1.5ft

Now

total length=x+2x-1.5ft

15 ft =3x-1.5ft

15+1.5=3x

x=[tex] \frac{16.5}{3} [/tex]=5.5ft

Now

shorter length: 5.5ft.

longer length:2*5.5-1.5=9.5ft.

Answer:

5/80 = 0.0625