Find the missing length marked with a question mark.
UVW-USR

Answer:

3/8 of the box

Step-by-step explanation:

On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.

On Saturday she uses 1 1/2 times as much pancake mix as Friday.

On Friday = 1/4 of the box

On Saturday = 1 1/2 × pancake mix as Friday

[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]

Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.

Answer: $125 rounded or $125.3 not rounded

Step-by-step explanation:

Answer:

Its Going to be -4

Step-by-step explanation:

Answer:

15 feet

Step-by-step explanation:

This is calculated using the formula

Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column

From the question

Height of observation tower = 60 ft

Shadow of observation tower = 32 ft

Height of Marble column = ? x

Shadow of marble column = 8 ft

Hence:

60ft/32ft = x/8ft

Cross Multiply

60ft × 8 ft = 32ft × x

x = 60 ft × 8 ft/32 ft

x = 15 ft

Therefore, the marble column is 15 feet tall

Answer:

1250 people

Step-by-step explanation:

Population density = total population / land area

Population density = 50

total population = x

land area 25

50 = x / 25

x = total population = 50 x 25 = 1250 people

Answer:

x + 6y - 6

Step-by-step explanation:

Answer:

x+6y-6

Step-by-step explanation:

Answer:

V=35

Step-by-step explanation:

[tex]\frac{V}{7} =5[/tex]

Start by multiplying by 7 on both sides:

V=35

Answer:

35

Step-by-step explanation:

5 times 7 is 35 so v divided by 7 is 5

Answer:

The inequality is given as:

5x + 4y ≤ 50

Step-by-step explanation:

Let the number of

Chocolate pies = x

Apple pies = y

He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.

Hence:

$5 × x + $4 × y ≤ $50

The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:

5x + 4y ≤ 50

Answer: c

Step-by-step explanation:

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.

Hence we have 360°/13 = 27.7° (1d.p.)

The measure of an exterior angle of a regular 13-gon is 27.69°.

A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.

The given polygon is a regular 13-gon.

Therefore, all the exterior angles of this polygon are equal.

We know, each exterior angle of a regular polygon with 'n' sides is

= (360 / n)°

Here, n = 13.

Therefore, the value of each exterior angle

= (360 / 13)°

= 27.69°

Learn more about a polygon here:

https://brainly.com/question/13879119

#SPJ2

Answer:

A 6 digit number can be written as:

abcdef

Where each letter represents a single digit.

We know that this number is smaller than 600,000, and we also know that:

a + b + c + d + e + f = 38

Now, we have a lot of variables, so we can play a little.

I will suppose that:

f = 6

e = 7

d = 3

c  = 9

then we have:

a + b + 9 + 3 + 7 + 6 = 38

a´+ b + 25 = 38

a + b = 38 - 25 = 13

now let's suppose that b = 8

a + 8 = 13

a = 13 - 8 = 5

Then our number is:

589,376

This number is smaller than 600,000, and if we add the sum of the digits is 38.

Now we want to find 11 other numbers like this.

We can simply change the places of some of the digits, like:

598,376  (also meets the condition)

Where i just changed the positions of the 9 and the 8.

589,367  (also meets te condition)

Where i just changed the position of the 6 and 7.

Now just keep doing that, only take care that the number can not be larger than 600,000, so i will leave the first 5 fixed in that position.

589,673 (also meets the condition)

598,736 (also meets the conditions)

536,798  (also meets the conditions)

536,897  (also meets the conditions)

536,978  (also meets the conditions)

563,798  (also meets the conditions)

563,987  (also meets the conditions)

563,879  (also meets the conditions)

573,689  (also meets the conditions)

573,869  (also meets the conditions)

Answer:

AB

Step-by-step explanation:

Increasing by 5/1

9514 1404 393

Answer:

  y = -5x³

Step-by-step explanation:

The point of inflection of the parent cubic function f(x) = x³ is at the origin, the same place it is shown on the graph. So, there is no translation involved in creating the graph.

We know the parent function gives f(1) = 1, but here, we have (x, y) = (1, -5). This suggests a vertical scale factor of -5. So, the transformed function is ...

  y = -5x³

Answer:

D

Step-by-step explanation:

With only 4 options, I substituted the possible numbers for Y. When substituting Y for 8, the right hand column wrote:

8 - Z = 4

Another way to think of this is 8 - 4 = 4.

When using 8, Z must equal 4.

Take this information to the left hand column.

8 - Z = Z

We know Z equals 4 so plug this information in. Is it correct?

8 - 4 = 4

This is correct.

Therefore, the answer is 8, or D.

Answer:x=4 y=-2

Step-by-step explanation:

3x-5y=22

3x+1.5y=9

-6.5y=13

6.5y=-13

0.5y=-1

Y=-2

Replace/substitute

2x-2=6

2x=8

X=4

2x+y=6---------(2)

y=6-2x---------(3)

putting value of y on equation

3x-5y=22

3x-5(6-2x)=22

3x-30+10x=22

13x=22+30

13x=52

x=52/13

x=4

putting value of x on equation (3)

y=6-2x

y=6-2.4

y=6-8

y=-2

Answer:

9) 30 years

10) line passing through points AB and BC are perpendicular

Step-by-step explanation:

9) p = 5t + 150    

Current pop. (in thousands) is 150

Double pop. (in thousands) is 300

300 = 5t + 150

150 = 5t

t = 30

10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal

slope of AB = 3

slope of BC = -1/3

Answer: i dont know

Step-by-step explanation:

Answer:

1.

Slope: Positive

Y-intercept: Positive

y=2x+2

2.

Slope: Positive

Y-intercept: Zero

y=4x

3.

Slope: Positive

Y-intercept: Negative

y=1/2x-5

4.

Slope: Negative

Y-intercept: Positive

y=-1/2x+2

Answer:

length = 3√5

distance = √13

Step-by-step explanation:

length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]

length = √ 3²+6²

=√9+36

=√45=3√5

distance

d = √(x1-x2)²+(y1-y2)²

d= √(5-3)² + (-2-1)²

d=√2²+(-3)²

d=√4+9

d=√13

Answer:  Holly would take 60 minutes to clean alone.

Step-by-step explanation:

Let t = Time taken by Holly to clean alone.

Given: Time taken by Mia to clean alone = 30 minutes

Time taken by Mia and holly to clean their room = 20 minutes

Then,

[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]

Hence, Holly would take 60 minutes to clean alone.

Answer:

x>2

Step-by-step explanation:

0<7x-14

-7x<-14

x>2

hope that's right

Answer:

x > 2

Step-by-step explanation:

-x < -x+7(x-2)

0 < 7(x-2)

0 < x-2

x > 2

(edited)

Answer:

Option 1:

He starts with $10, and for each week, we add $100

Then his balance as a function of weeks will be:

f(w) = $10 + $100*w

option 2.

Again, we start with $10, and for each week that passes this is doubled, then the equation will be:

g(w) = $10*(2)^w

Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.

option 1:

f(7) = $10 + $100*7 = $710

With option 1 he will have enough

option 2:

g(7) = $10*(2)^7 = $1280

Again, he will have more than $700 in week 7, and we can clearly see that this option is better.

Answer:

[tex]1,008\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

[tex]2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}[/tex]

Area of all three rectangles:

[tex]15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}[/tex]

Therefore, the total surface area of this figure is:

[tex]840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark[/tex]

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Answer: 3 shirts

Step-by-step explanation:

so they are 20 a piece

5+45=50

they need to raise $50

1= 20

2=40

3=60

Answer:

Step-by-step explanation:

Answer:

b number

Step-by-step explanation:

Because range is the number of the y component

Answer: $500

Step-by-step explanation:

You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:

= 766.45 - 32.45

= A$734

1 USD gives A$1.468

The USD you will need is:

= 734/1.468

= $500