I have a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths and might fail

Answers

Answer 1

Answer:

yes I can try to help you what I can

Answer 2
Algebraic Expressions Word Problems -
WORD PROBLEMS require practice in translating verbal language into algebraic language. See Lesson 1, Problem 8. Yet, word problems fall into distinct types. Below are some examples.
Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Solution. Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question.
Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.
Here is the equation:
2x − 14 = 42.

2x = 42 + 14 (Lesson 9)

= 56.

x = 56
2

= 28.
The blouse cost $28.
Example 2. There are b boys in the class. This is three more than four times the number of girls. How many girls are in the class?
Solution. Again, let x represent the unknown number that you are asked to find: Let x be the number of girls.
(Although b is not known -- it is an arbitrary constant -- it is not what you are asked to find.)
The problem states that "This" -- b -- is three more than four times x:
4x + 3 = b.
Therefore,
4x = b − 3

x = b − 3
4 .
The solution here is not a number, because it will depend on the value of b. This is a type of "literal" equation, which is very common in algebra.
Example 3. The whole is equal to the sum of the parts.
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Solution. In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 84:
word problem = 84
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 84 − 12

= 72.

x = 72
2

= 36.
This is the first number. Therefore the other number is
x + 12 = 36 + 12 = 48.
The sum of 36 + 48 is 84.
Example 4. The sum of two consecutive numbers is 37. What are they?
Solution. Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it is x + 1.
The problem states that their sum is 37:
word problem = 37
2x = 37 − 1

= 36.

x = 36
2

= 18.
The two numbers are 18 and 19.
Example 5. One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
Solution. Let x be the smaller number.
Then the larger number is 10 more: x + 10.
The problem states:
2x + 3(x + 10) = 55.
That implies
2x + 3x + 30 = 55. Lesson 14.

5x = 55 − 30 = 25.

x = 5.
That's the smaller number. The larger number is 10 more: 15.

Related Questions

pls give answer with formulas and steps 4/9 ÷ -5/7

Answers

9514 1404 393

Answer:

  -28/45

Step-by-step explanation:

Step 1, the sign

When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.

Step 2, the formula

The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:

⇒ "invert and multiply" or "swap dot"

  [tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\,\cdot\,\dfrac{d}{c}=\dfrac{ad}{bc} \quad\text{division is multiplication by the reciprocal}[/tex]

⇒ "numerators of a common denominator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ad}{bd}\right)}{\left(\dfrac{bc}{bd}\right)}=\dfrac{ad}{bc}[/tex]

⇒ "swapped denominators of a common numerator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ac}{bc}\right)}{\left(\dfrac{ac}{ad}\right)}=\dfrac{ad}{bc}[/tex]

The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. Example: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4

Step 3, reduce the result

Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.

_____

Your product is ...

  (4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45

Kathryn and karina are neighbours and they are each planning rosebushes and butterfly plants in their yard. They bought their plants from the same store. Catherine spent $111 on four rosebushes and seven butterfly plants. Karina spent $132 on five rosebushes and eat butterfly plants. What is the cost of one rosebush and the cost of one butterfly plant?

A rosebush : $10, butterfly plant $7

B Rose bush: $9 ,butterfly plant $12

C rosebush; 12 , butterfly plant $9

D rose bush : $14, butterfly plant $7

Answers

Answer:

d a rosebush 14 butterfly plant 7

Step-by-step explanation:

don't believe me ask some body else okkkkkur

Which of the following are possible solutions for the inequality ??

Answers

-1/2 and -2 would be the answer

This would be because when you plug these number instead of x the answer is equal to or less than 13

5, 3, 2, 6, 5, 2,5
mean:
median:
mode:
range:

Answers

Answer:

mean: 4

median: 5

mode: 5

range: 4

Sharon made $45 in interest by placing $500 in a savings account with simple interest for 1 year. What was the interest rate?

Answers

Answer: The interest rate was 9%.

Step-by-step explanation:

If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :

[tex]R=\dfrac{I\times100}{P\times t}[/tex]

As per given,

P = $ 500, I = $45, t = 1 year

Substitute values in formula , we get

[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]

Hence,  The interest rate was 9%.

6. Alyssa is making a recipe that requires 2 cup of oil and 4 cups of milk. Which of the following combinations shows the same ratio of oil to milk?

Answers

Answer:

D. 6 cups of oil to 12 cups of milk.

We have a side that is opposite our angle,
and we have the hypotenuse. Which ratio
will we use?

Answers

Answer:

Sine

Step-by-step explanation:

Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.

SOH represents Sine, Opposite, Hypotenuse.

Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse

So, sine will be used.


Directions: Review the table shown here,
Input
1
Output
120
4
450
1
140
4
450
Which statement best explains why the data in the table above does not represent a
function?
A. Each input has only one output.
B. Each output has only one input.
C. One input has more
one output
D. One output has more than one output.

Answers

Answer:

rStep-by-step explanation:

d

Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?​

Answers

19 minutes ..
Divides 45.85 by 15 you will get 3 same for the other cost- the divide 3 by 55.81 and you get 19

3/8 - 1/4x =1/2 x - 3/4
please help solve for x and show work

Answers

Answer:

x=3/2 (or 1.5)

Step-by-step explanation:

Subtract 3/8 from both sides

Simplify

Subtract 1/2x from both sides

Simplify

Multiply both sides by 4

Simplify

Divide both sides by -3

Three bananas and two pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten pears.​

Answers

Answer:

Cost of ten bananas and ten pears is  £ 3.90

Step-by-step explanation:

As three bananas and two pears cost  95 p  and  five bananas and three pears cost  £  1.51  or  151  p ,

subtracting former from latter, we get

two bananas and one pear cost  151 p  −  95 p  =  56 p

and doubling four bananas and two pear cost  56 p × 2 = 112 p

Hence, one banana costs  112 p  −  95 p  =  17 p .

and two bananas cost  17 p  ×  2  =  34 p

and hence one pear costs  56 p  −  34 p  =  22 p

Hence cost of ten bananas and ten pears is  

10  ×  17 p  +  10  ×  22 p  =  170 p  +  220 p  =  390 p  =  £ 3.90

Hope it helps

Please mark me as the brainliest

Thank you

HELP WILL GIVE BRAINLIEST Given an expression can you write an equivalent form of the expression and explain the properties you used?

Answers

Answer:4^-3 could also be written as 1/4^3

Step-by-step explanation:

Negative exponent rule in which the number with a negative exponent gets moved to the denominator.

1/4^3 is the answer your needing

The length of a rectangular tabletop is 18 inches more than the width. The perimeter is 244. What is the width of the tabletop?

Answers

Answer:

52 in.

Step-by-step explanation:

Let the width = x.

The length is x + 18.

perimeter = 2(L + W)

244 = 2(x + x + 18)

122 = 2x + 18

2x = 104

x = 52

The width is 52 in.

Answer:

length is 70 width 52

Step-by-step explanation:

4. What expression represents the width of the room?

Answers

Answer:

35-4

Step-by-step explanation:

Answer:

Let x = represents the width

m.

Step-by-step explanation:

hope that helps -w-

Suzy is shopping at a book sale.The table show prices for paperback books.

Answers

Answer:

6,9

Step-by-step explanation:

Got it right on edg

The ordered pair which is also on the graph is (6, 9).

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

Suzy is shopping at a book sale.

We can see from the table that when books( x) is 2 then the value of y is 3.

Similarly, x = 4 then y = 6

then we can say that the value of y is the addition of half of the value of x in itself.

So, according to the number pattern;

if we take x = 6

Then 6 + 3 = 9

y = 9

Thus, The ordered pair which is also on the graph is (6, 9).

Learn more about a number pattern:

brainly.com/question/14471389

#SPJ2

Find all angles, 0°< A<360°, that satisfy the equation below, to the nearest tenth
of a degree (if necessary).
3 tan A+75 = 0

Answers

Answer:

143.3 degrees and 323.3 degrees

Step-by-step explanation:

Given the equation

3tanA +√5 = 0

3tanA = -√5

tanA =-√5/3

tanA = (-0.7454)

A = arctan(-0.7453)

A = -36.699

Since tan is negative in 2nd and 4th quadrant

A = 180 - 36.699

A = 143.3 degrees

In the fourth quadrant

A = 360 - 36.699

A = 323.3degrees

Hence the value of A that satisfies the equation are 143.3 degrees and 323.3 degrees

Apply the Distributive Property to Simplify the Expression
9 (4 1/3)

Answers

9 (4 1/3)
Answer= 39

A girls typing an essay on her computer she typed 2/5 of a paper of an essay in 1/15 hour all this rate how long in hours would it take her to type a full page

Answers

I am not sure but I think it’s 2

find the size of angle X.

Answers

Circle adds up to 360

81+164=245

360-245= 115

Answer is :115

The size of angle x is 115.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the figure,

The whole complete angle is 360.

This means,

164 + 81 + x = 360

Solve for x.

164 + 81 + x = 360

245 + x = 360

x = 360 - 245

x = 115

Therefore,

The size of angle x is 115.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

find x: 9(2x+1)=81(3x+2)​

Answers

Answer:

Exact form: x =  -17\25

Decimal form: x = -0.68

write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=1/3x-7

Step-by-step explanation:

what is the gradient of the following shape​

Answers

You mind explaining it? Like the question

Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?

Answers

Answer: answer is $33.60

Step-by-step explanation:

if triangle def is similar to triangle jkl find kl

Answers

Answer:

KL=45

Step-by-step explanation:

What is the m∠ACD, if m∠ABC = 37?

Answers

Step-by-step explanation:

angle ABC= angle ACB= 37° --------- because AB=AC

angle ACB+ angle ACD=180°

37+angle ACD=180

angle ACD=143°

Answer:

143 is the answer

Step-by-step explanation:

8x -5 = 4x+7



Need answers ASAP and how to do it pls

Answers

8x -5 = 4x+7

8x - 4x = 7 + 5

4x = 12

x = 3

PLZ HELP WILL GIVE BRAINLY!!!!

Answers

It’s 2/1 because you go up 2 (rise) and go over one (run)
I think the best answer is 2/1 because u need to rise and then go over one and this is easy so bye111

40 people can ride the roller coaster every 15 minutes. How many people can ride the roller coaster every 3 hours?

Answers

Answer:

480

Step-by-step explanation:

Answer:

486 people can ride the roller coaster in 3 hours

Step-by-step explanation:

40÷15 = 2.7

2.7 × (60×3)

2.7×180= 486

A car drvies at a speed of 60 mph for 30 minutes. Calculate how far it travles

Answers

Answer:

30 miles

Step-by-step explanation:

Distance = speed x time

30 minutes can be considered as ½ an hour.

60 x ½=30miles

area is the amount of .......a figure covers ?​

Answers

Answer:

surface

Step-by-step explanation:

Answer: Area for a 2D image is the space it covers.

Step-by-step explanation:

If you have an empty square and you shade it in, what you are shading is its area. You can find area of a square or rectangle by multiplying its length by its width. For more complicated shapes there are formulas you can use.

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