Two-step equations word problems. Please and thank you in advance!

Step-by-step explanation:

Let F represent fruitshake and C chocolate milkshake

one fruitshake cost more 2R more than chocolate shake and

3F + 5C = R78,00

Then (78 - 6) ÷ 8 = 9

a fruitshake costs R11,00 and chocolate milkshake costs 9R,00

Answer:

4

Step-by-step explanation:

Let the number be x.

(11+41)/x = 13

52/x = 13

13x = 52

x = 52/13

x = 4

The number, if Eleven plus forty-one is divided by a number, and the result is 13, is 4.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

Eleven plus forty-one is divided by a number, and the result is 13,

Assume the number is x,

Write the equation as shown below,

11 + 41 / x = 13

52 / x = 13

x = 52 / 13

x = 4

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Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

Price of the watch after discount:

Price of the watch before discount:

Answer:

I'm not sure, but I think it is (0, -6).

Answer:

4

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

total chips = 6

chips not including yellow= 4

simplify 4/6 = 2/3

Answer:

11 people are in each squad.

Step-by-step explanation:

A battalion of 880 people is made up 4 companies.

880/4 = 220 people

which means 1 company is made up of 220 people.

Each company is made up of 5 platoons.

220/5 = 44

which means each platoon is made up of 44 people

Each platoon contains 4 squads

44/4=11

which means each squad contains 11 people.

therefore each squad contains 11 people.

Answer:

W=2.615

Step-by-step explanation:

9w-36-7w=15w-2

2w-36=15w-2

15w-2w=-36+2

13w=34

w=34/13

W=2.615

Answer:

B. 13

Step-by-step explanation:

[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]

Answer:

Step-by-step explanation:

First, use PEMDAS

Parenthesis, Exponents, multiplication, division, addition, subtraction

1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents

1/16*48 = 48/16 = 3 = Multiplication and Division

3+10 = 13 = Addition

This can conclude that 13 is the answer.

Answer:

2y° + x° + y° + 2x° + (180-33)° = 360°

3x + 3y + 147 = 360

3(x+y) = 360 - 147

3(x+y) = 213

x+y = 71

2y + 2x + K = 180

2(x+y) + K = 180

2 *71 + K = 180

142 + K = 180

K = 38°

the last one

Answer a on edge

Step-by-step explanation:

Answer:

x > -3

Step-by-step explanation:

-3x - 3 < 6

Add 3 to each side

-3x - 3+3 < 6+3

-3x < 9

Divide by -3 remembering to flip the inequality

-3x/-3 > 9/-3

x > -3

Answer:

1/3

Step-by-step explanation:

Answer:

The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

[tex]6(3+4)-5(1+2)= \\\\6(7)-5(3)= \\\\42-15= \\\\27[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

6(3+4)-5(1+2)=

6(7)-5(3)=

42-15=

27

Answer:

12

Step-by-step explanation:

The area of a rectangle is l × w.

x × 11/3 = 44

x = 44 × 3/11

x = 12

Answer:

When x=2 the expression is undefined

Step-by-step explanation:

When the denominator is zero, the expression is undefined

2x-4 =0

2x=4

x=4/2

x=2

When x=2 the expression is undefined

Answer:

Solution of the system of equations will be (6, 6).

Step-by-step explanation:

Table for the first equation,

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

x          0          2         4         6         8      

y          3          4         5         6         7

(x, y) (0, 3)    (2, 4)   (4, 5)    (6, 6)   (8, 7)

We have got the values of y by substituting the values of x in the given equation for the table.

Similarly, for the other equation,

y = 2x - 6

x           0          2         4           6           8

y          -6         -2         2           6          10  

(x, y)  (0, -6)   (2, -2)  (4, 2)   (6, 6)    (8, 10)

By analyzing both the tables we find (6, 6) is a common point in both the tables.

That represents the points of intersection of both the lines.

Therefore, solution of the system of equations will be (6, 6)

Answer:

Step-by-step explanation:

angle pair for vertical angles is called straight angle....

the joining between two pages of a book is a vertical angle....

the road itself is a vertical angle

Answer:

Please mark me brainliest and I hope this helped!

w = 89°

Step-by-step explanation:

For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.

Answer:

89

Step-by-step explanation: I took the test

Answer:

Solution,

Hypotenuse(h)=X

Perpendicular (p)=9

Base(b)=12

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]

hope this helps...

Good luck on your assignment...

The length of the hypotenuse in the given triangle is A. 15 units.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the base of the triangle is 12 units and the height is 9 units.

∴ x² = 9² + 12².

x² = 144 + 81.

x² = 225.

x = + 15 units.

So, the length of the hypotenuse is 15 units.

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Answer:

37.5 mL

Step-by-step explanation:

If x is the volume of water, then:

(0.45)(300) + (0)(x) = (0.40)(300 + x)

135 = 120 + 0.40x

15 = 0.40x

x = 37.5

The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

45% of a 300ml drink is concentrated pineapple juice.

If x is the volume of water, then we get;

(0.45)(300) + (0)(x) = (0.40)(300 + x)

135 = 120 + 0.40x

15 = 0.40x

x = 37.5

Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.

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Answer:

√40 ≈ 6.32

√75 ≈ 8.66

√90 ≈ 9.49

√245 ≈ 15.65

√450 ≈ 21.21

√640 ≈ 25.30

√675 ≈ 25.98

Step-by-step explanation:

You can use your calc or estimate your answer by simplifying (like √640 is 8√10, and estimate the square root of 10). However, getting decimals will require you to use a calc.

Answer:false

Step-by-step explanation:

(-7)^2

(-7)*(-7)

49

49 is a positive number

Answer:

It is false

Step-by-step explanation:

It is false because if you have two groups of negatives, it is positive. (-7)^2 is the same as -7x-7. Two negatives equal a positive, so the answer should be 49. 49 is positive so it is false.

Answer:

2307 ways

Step-by-step explanation:

Given

Candidates: 5

Men (Applicants): 14

Women (Applicants): 6

Job Positions: 5

Man = 3

Women = 2

Required:

Number of possible outcomes

This question represent selection; i.e. selecting candidates for job positions;  

This question can be solved by using Permutations/Selection formula

Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women

Let M represent Men and W represent Woman

Number of ways = M + W

Calculating M

[tex]M = nPr[/tex]

Substitute nPr with its formular

[tex]M = \frac{n!}{(n-r)!}[/tex]

Where n = 14 men and r = 3 applied

[tex]M = \frac{14!}{(14 - 3)!}[/tex]

[tex]M = \frac{14!}{11!}[/tex]

[tex]M = \frac{14*13*12*11!}{11!}[/tex]

[tex]M = 14*13*12[/tex]

[tex]M = 2184[/tex]

Calculating W

[tex]W = nPr[/tex]

Substitute nPr with its formula

[tex]W = \frac{n!}{(n-r)!}[/tex]

Where n = 6 men and r = 2 applied

[tex]W = \frac{6!}{(6-2)!}[/tex]

[tex]W = \frac{6!}{2!}[/tex]

[tex]W = \frac{6*5*4*3!}{2!}[/tex]

[tex]W = 6*5*4[/tex]

[tex]W = 120[/tex]

Recall that Number of ways = M + W

Number of Ways = 2184 + 123

Number of Ways = 2307

Answer:

24

Step-by-step explanation:

Alright so the number has to be above 20 and below 35.

It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34

Since the sum of the digits has to be 6, the only number from that list that it can be is 24.

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

24

Step-by-step explanation:

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer :

x = 2

y = -1

I hope it helps

Answer:

4 days

Step-by-step explanation:

8 people can do the job in 6 days, job is this case is picking apples.

1 person can do same job for 6*8= 48 days

12 people can do same for 48/12= 4 days

Answer:

Alex: 18

Thomas: 12

Step-by-step explanation:

A : T : TOTAL

3 : 2 : 3 + 2 = 5

total number of units : 5

total number of sweets : 30

1u = 30 ÷ 5 = 6

Alex = 3u = 3 × 6 = 18

Thomas = 2u = 2 × 6 = 12

Answer:

D) Centroid

Step-by-step explanation:

DB,AG and CE are medians of the triangle and when they intersect at one point, their point of concurrency is called centroid.

Answer: D (Centeriod)

Step-by-step explanation:

Because point H is in the center of the triangle, and the centeroid is located in the center of the triangle

Answer:

Last option is the correct choice.

Step-by-step explanation:

See the attachment below.

Best Regards!