Zahra runs an activity club
She needs 2 members of staff for every 15 people at the activity club.
There will be 90 people at the activity club on Monday
Zahra has 10 members of staff available for Monday.
Does Zahra have enough staff available for Monday?
(3)​

Answers

Answer 1

Answer:

No, Zahra does not have enough staff available

Step-by-step explanation:

Given

[tex]Ratio = 2 : 15[/tex] --- staff to people

[tex]Staff = 10[/tex]

[tex]People = 90[/tex]

Required

Are there enough staff?

Start by representing the data as a ratio

[tex]Ratio = Staff : People[/tex]

So, we have:

[tex]Ratio = 10 : 90[/tex]

Divide by 10

[tex]Ratio = 1 : 9[/tex]

Multiply by 2

[tex]Ratio = 2 : 18[/tex]

This means that, she has 2 members of staff for every 18 people (instead of the expected 2 to 15 people)

Hence, Zahra does not have enough staff available


Related Questions

Type the missing number in this sequence:
4,
8, 16, 32,

Answers

64 , it's doubling every time

spell stun seed backwards and say it

Answers

Dees nuts because it’s spleens it but yea

ILL GIVE A BRAINLIEST FOR THE ANSWER THAT HELPS ME THE MOSTT.​

Answers

he would be born june 12 1962

ANSWER FOR BRAINLIEST

Image Below

Answers

Answer:

there’s no image

Step-by-step explanation:

How many hours in a year?​

Answers

There are 8,760 hours in a year. Because there are about 730 hours per month

Answer:

Here is your answer hope it helps u have a great day ahead....

Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?

Answers

Answer:

The answer is 15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

Thus, The answer is 15 ounces

Is this correct? the question is asking if the triangle would have a right, acute, or obtuse angle.

Answers

Answer:

Acute

Step-by-step explanation:

All triangles have to have a acute or it would be to big

Answer:

yes it is because its a triangle and its acute

-2,6,-18,54 find the 12th term

Answers

Answer:

354294

Step-by-step explanation:

-2,6,-18,54,-162,486,-1458,4374,-13122,39366,-118098,354294

multiply each number by -3

3353 8. A survey showed that 1/3 of the students in the class liked blue 1/4 of the remainder liked red. The remaining 24 students liked yellow. How many students were in the class?​

Answers

Answer: there are 48 students in the class

Step-by-step explanation:

let x = the total number of students in the class

1 - 1/3 = 2/3

1/4 * 2/3 = 2/12 = 1/6

1/3x + 1/6x + 24 = x

2/6x + 1/6x + 24 = x

3/6x + 24 = x

1/2x + 24 = x

24 = x - 1/2x

24 = 1/2x

24 * 2 = x

x = 48

there are 48 students in the class

if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g

Answers

Answer:

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = x - 4[/tex]

Which value is equivalent to f x g?

We multiply these functions, applying the distributive property. So

[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

What is an equation of the line that passes through the points (4, -1) and
(-8. – 7)?

Answers

Answer:

[tex]y = \frac{1}{2} x - 3[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y=mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the gradient formula above,

gradient of line

[tex] = \frac{ - 1 - ( - 7)}{4 - ( - 8)} [/tex]

[tex] = \frac{ - 1 + 7}{4 + 8} [/tex]

[tex] = \frac{6}{12} [/tex]

[tex] = \frac{1}{2} [/tex]

Substitute m= ½ into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

[tex] - 1 = \frac{1}{2} (4) + c[/tex]

-1= 2 +c

c= -1 -2 (-2 on both sides)

c= -3

∴ The equation of the line is y= ½x -3.

Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...

Answers

Answer:

14x-9

Step-by-step explanation:

I need help finding the intercept , slope and equation please help!

Answers

Answer:

Step-by-step explanation:

if they are saying  approximately  then y = 3 for the y intercept, and

the slope,  m ,   is   3/4    ( rise / run)

then the equation for this line is

y =  [tex]\frac{3}{4}[/tex] * x + 3

y = 3x/4 + 3

Use the Distributive Property to solve the equation.
3
(8a + 12) = 25.8
4
3.
+ C •12) = 0
4.
a=
(Simplify your answers.)

Answers

Answer:  a = 2.8

Step-by-step explanation:

3/4 (8a + 12) = 25.8

(3/4 * 8a) + (3/4 * 12) = 25.8

6a + 9 = 25.8

6a = 16.8

a = 2.8

Hope this helped! :)

Answer:

3/4 (8a + 12) = 25.8

(3/4 × 8a) + (3/4 × 12) = 25.8

a = 2.8

Hope this helps and have a AMAZING day :D

ASAP I NEED IT INTHE MORNING!!!! THANK YOUUU

Answers

Answer:

.................................

Step-by-step explanation:

O

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

3. 1/2

Step-by-step explanation:

[tex]\sqrt{36} = 6\\\sqrt{144} = 12\\Simplified = \frac{1}{2}[/tex]

I WILL GIVE BRAINLEST AND A LOAD OF POINTS
When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 4?

Answers

Answer:

Either 4:1, or 8:1

Step-by-step explanation:

I'll choose 8:1 for now, I'll update this answer if it's correct or not.

how do you solve simple linear equations?

Answers

9514 1404 393

Explanation:

The rules of equality tell you that you can do anything you like to an equation, as long as you do the same thing to both sides of the equal sign. This is the essence of Algebra, so is worth remembering. My teacher summarized it as "keep the equal sign sacred."

__

"Simple linear equations" come in several varieties. They are sometimes called "one-step", or "two-step", or "three step" linear equations, depending on how many steps are required to solve them. In what follows, we're using "x" as the variable, and the letters a, b, c, d as constants.

One-step

In general, the "one step" will be either an addition or a multiplication.

  x + a = b . . . . an addition equation

  ax = b . . . . . . a multiplication equation

The key in any case is to look at what is done to the variable and use an inverse operation to "undo" it. The opposite of addition is addition of the additive inverse (add the opposite). This is also called subtraction. For the addition equation, this looks like ...

  x + a - a = b - a . . . . . . add (-a) to both sides (or subtract 'a')

  x = b - a . . . . . . . . . . . the solution

The opposite of multiplication is multiplication by the multiplicative inverse (the reciprocal) This is also called division. For the multiplication equation, this looks like ...

  ax(1/a) = b(1/a) . . . . . multiply by (1/a) on both sides (or divide by 'a')

  x = b/a . . . . . . . . . . . the solution

__

Two-step

As with one-step linear equations, two-step equations come in some different forms.

  ax +b = c

  ax +b = cx

  a(x +b) = c

In general, the two steps are an addition step and a multiplication step, not necessarily in that order. You will notice that the first step can transform the equation to a "one-step" equation. As before, inverse operations are involved, and whatever is done is done to both sides of the equal sign.

  ax +b = c   ⇒   ax = (c -b) . . . . subtract b to get a multiplication equation

In this next, we have the variable on both sides of the equal sign. we can put the variable on one side of the equal sign by adding the opposite of the term we don't want where it is. Leaving the constant alone, we can add (-ax) to both sides to get ...

  ax +b = cx   ⇒   b = cx -ax   ⇒   b = (c -a)x

When you have numbers, you can go directly to (c-a)x by "combining terms". This is now the one-step multiplication equation.

Finally, another 2-step form is ...

  a(x +b) = c   ⇒   x +b = c/a . . . . . divide by 'a' to get an addition equation

This last equation can also be solved by using the distributive property first.

  ax +ab = c . . . . . still a 2-step equation, now of the first type

__

Three-step

The most typical "3-step" linear equation is of the form ...

  ax +b = cx +d

where both variables and constants are on both sides of the equal sign. As you may have noticed above, we prefer to have variables on one side and constants on the other side. So, add the opposite of the term you don't want where it is (to both sides, of course).

If we want variables on the left and constants on the right, we can add -cx and -b. The "3 steps" assume you do these as separate operations.

  ax +b -cx = cx +d -cx   ⇒   (a-c)x +b = d . . . a two-step equation

  (a-c)x +b -b = d -b    ⇒   (a-c)x = d-b . . . . a one-step multiplication equation

_____

Additional comments

There are some choices you can make that will tend to reduce errors. One of them involves selection of the variable term you want to eliminate (add the opposite of). Generally, if you choose the term with the lowest (most negative, left-most on the number line) coefficient, adding its opposite will result in a positive coefficient for the remaining variable term. Then when you divide by that coefficient, you're dividing by a positive number. Most folks perform arithmetic with fewer errors when they're working with positive numbers.

The general approach to any "solve for" situation is to look at what is done to the variable you're solving for. The Order of Operations is a useful lens for looking at this. When you list the operations, your "undo" sequence will start with the last operation on the list, and work backward.

Further note: your total comfort with doing arithmetic with any kind of numbers (integers, fractions, mixed-numbers, decimals, scientific notation, positive or negative) will aid you immensely. Always be careful with minus signs. They tend to get lost, forgotten, ignored, Be sure they don't.

What does the digit 7 represent in 170, 280?
o Seventy thousand
O Seven hundred
O Seven thousand
O Seven hundred thousand

Answers

Sheesh that’s really hard I’m going to find it tho give me one second please.

Multiply. Round to two decimal places


____ x 14.32 = 554.76

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]_____ x 14.32 = 554.76[/tex]

Let's take '____' as x

[tex]x \times 14.32 = 554.76 \\ x = \frac{554.76}{14.32} \\ x = \frac{554.76 \times 100}{14.32 \times 100} \\ x = \frac{55476}{1432} \\ x = 38.74[/tex]

⎆ The answer of ____ x 14.32 = 554.76 in 2 decimal places will be ⇻38.74

NOTE:

We multiplied the fraction × 100 to remove the decimal points so that it'll be easier to calculate.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Can someone help me please

Answers

Answer:

It's 2/15

Step-by-step explanation:

What is the relationship between 152 and 4?

Answers

Answer:

Opposite angles

Step-by-step explanation:

Where two lines intersect each other, the angles opposite to each other are opposite angles. Opposite angles have the same measure.

I hope this helps!

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Vertically Opposite Angles!

Hope it helps!

Brainliest pls!

Follow me!

Unit 3: Parallel & Perpendicular Lines Homework 5: Linear Equations Slope-Intercept & Standard Form

Directions: Determine if the equations are parallel, perpendicular, or neither.

11. y = -3x + 6 and y = 1/3 x -8

12. y = 5/4 x + 1 and y = 5/4 x - 7

13. 3x + 2y = 6 and y = -3/2 x + 5

14. 3y = 4x + 15 and 9x + 12y = 12

15. 10x - 2y = 16 and x + 5y = -20

16. 5x + 3y = 3 and 3x + 5y = -25

17. -9y = -3x + 18 and 2x -6y = 30

18. x-y = 5 and x + y = -10

Answers

11. y = -3x + 6 and y = 1/3 x -8 (perpendicular)

12. y = 5/4 x + 1 and y = 5/4 x - 7 (parallel)

13. 3x + 2y = 6 and y = -3/2 x + 5 (parallel)

14. 3y = 4x + 15 and 9x + 12y = 12 (perpendicular)

15. 10x - 2y = 16 and x + 5y = -20 (perpendicular)

For two equations to be parallel, the slope has to be the same

For two equations to be perpendicular, the product of their slopes must be equal to -1

The equation of a line is the slope-intercept form is:

y  =   mx   +   c

where m is the slope and c is the intercept

11) y = -3x + 6 and y = 1/3 x -8

The equations are perpendicular because -3 x 1/3  = -1

12) y = 5/4 x + 1 and y = 5/4 x - 7

The two lines are parallel because they both have a slope of 5/4

13) 3x + 2y = 6 and y = -3/2 x + 5

The equation 3x + 2y = 6 can be re-written as y = -3/2 x + 3

Therefore, the two equations are parallel since they have the same slope of -3/2

14) 3y = 4x + 15 and 9x + 12y = 12

3y = 4x + 15 can be re-written as y = 4/3 x + 5

9x + 12y = 12 can be re-written as y = -3/4 x + 1

The two lines are perpendicular because -3/4 x 4/3  = -1

15) 10x - 2y = 16 and x + 5y = -20

10x - 2y = 16 can be re-written as y = 5x - 8

x + 5y = -20 can be re-written as y = -1/5 x  -  4

Both equations are perpendicular since -1/5 x 5  =  -1

Learn more here: https://brainly.com/question/11482954

Answer:

Step-by-step explanation:

#3 and #4 please. How do you know a sticky note has volume and can you determine the volume of an entire stack by knowing the volume of a single sticky note

Answers

Answer:

Step-by-step explanation:

3. A single sticky note is a three-dimensional object. Meaning it has a length, width and height. Therefore, it is taking up space, and anything that takes up space has a volume. If the sticky not did not have a volume then it would not be a three-dimensional object.

4. Yes, if we knew the volume of a single sticky note, then we would simply have to multiply the volume of that individual note by the total number of sticky notes in the pile. This would give us the volume of the entire pile.

The length of a cell phone is 2.2 inches and the width is 4.6 inches. The company
making the cell phone wants to make a new version whose length will be 2.09 inches.
Assuming the side lengths in the new phone are proportional to the old phone, what
will be the width of the new phone?

Answers

Answer:

The width of the new phone will be of 4.37 inches.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

In this question:

Length was of 2.2 inches, after the modification is of 2.09 inches.

Width was of 4.6 inches, after the modification is x. So

2.2 - 2.09

4.6 - x

Applying cross multiplication:

[tex]2.2x = 2.09*4.6[/tex]

[tex]x = \frac{2.09*4.6}{2.2}[/tex]

[tex]x = 4.37[/tex]

The width of the new phone will be of 4.37 inches.

Reading Off
QUIZ:
Dilations and the Coordinate Plane
A dilation with a scale factor of and centered at the origin is applied to MN with endpoints M(-2,- 4) and N(1,5).
Drag and drop to match the correct coordinates with the point
Coordinates of M'
Coordinates of N'
(5, 25
(-10,
4)
(-10, 20)
(1, 1)
8:11 AM
(1, 1)
AK 4 0 ENG
5/27/2021
( - ) E

Answers

d-123 doraa 2 feeet long and yuh

1+2+3+4+5+6+7+8+9+10=

im bor*ed...pls ch*at with me???

Answers

= 55

heyyy :)

…………….

plz plz plz plz help me plz it is due in 1 hour and no links plz​

Answers

Answer:

It is:

B.Divide the area of the triangle by the base and multiply the result by 2.

if 5 candy bars cost 3$ how much would 8 cost

Answers

Step-by-step explanation:

5candy cost 3$

1 candy cost =5/3=1.66$

8 candy cost= 8×1.66 =13.33$

stay safe healthy and happy...

each pack of sugar free gum at a store cost $0.89 including tax if Evan pays $10.00 and receives $0.21 in change how many packs of gum did he buy​

Answers

Answer:

12

Step-by-step explanation:

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