Answer:
a = -27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-2/3a - 6 = 12
Step 2: Solve for a
Add 6 to both sides: -2/3a = 18Divide -2/3 on both sides: a = -27Answer: a = -27
Step-by-step explanation:
-2/3a - 6 = 12
ADD 6 TO BOTH SIDES
-2/3a = 18
MULTIPLY BY 3 TO BOTH SIDES
-2a = 54
now you want to get the a by itself so DIVIDE BY -2
so... a=-27
A family discount card offers deals for the cinema. The card states:
The cost of an adult is $10. A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to save
money on the cost of the card? 7m
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2 /5 of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
Steve sold 252 fruit basket for a school fundraiser. Evie aold 25 fruit baskets for each 100 baskets that steve sold. How many fruit baskets did evie sell?
PLEASE NEED HELP AND STEPS
Answer: 63
Step-by-step explanation:
From the question, we are informed that Steve sold 252 fruit basket for a school fundraiser while Evie aold 25 fruit baskets for each 100 baskets that Steve sold. This means that Evie sold 25/100 = 1/4 of what Steve sold.
Therefore, the number of fruit baskets sold by Evie will be:
= 1/4 × 252
= 63
13. Which property is illustrated by the statement 3•1=3?
A Associative
C. Distributive
B. Commutative
D. Identity
it's a I know this because I'm in the 8th
Step-by-step explanation:
it's a
Let f(x) = 5x +1.
Find f(2)
Answer:
f(2) =11
Step-by-step explanation:
Explanation:-
Given the function f(x) = 5x+1
Put x = 2
f(2) = 5(2)+1
⇒ f(2) = 10 +1
⇒ f(2) =11
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
help MEEEEEE PLEASEEEEEEE
Answer:
4 1/3 hours
Step-by-step explanation:
Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far
relation between inputs and outputs
Answer:
A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship. On the other hand a negative relationship is one where more of one input leads to less of another output.
Step-by-step explanation:
Hope this helps
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Can Somebody please help me?
Describe the transformation of y=3(x-3)²+3
Answer:
Streatch by 3, Left by 3 and Up 3
The points (-2, 6) and (3, __ ) are data values of an inverse variation. Fill in the missing value.
Answer: y=6
Step-by-step explanation:
It is inverse so you know it’s y=k/x. Taking the first orders pair you find that k= -12. Then if you put it in y= -12/-2 you get 6 therefore y=6. Your welcome
1. What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (ie, if you increase one variable what happens to the acceleration?)
Answer:
Force = mass * acceleration
Acceleration = force/mass
As force increases, acceleration increases.
As mass increases acceleration decreases
Step-by-step explanation:
Can someone help me?
Answer:
The graph cannot represent a proportional relationship
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form. In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin (0,0) . That means, ----> The x-intercept and the y-intercept of the line must to be the origin (0,0).
If the given line passes through the point (0,5), then the line does not pass through the origin. Therefore, the graph cannot represent a proportional relationship
Write 16.24 as a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
16/24 = 14/ 21 = 12/ 18 10/ 15 8/12 6/9 4/6 = 2/3
The simplest form of the number 16.24 in fraction would be 406/25.
Used the concept of fraction which states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
The number is 16.24.
Now, it can be written as,
[tex]16.24 = \dfrac{16.24 \times 100}{100}[/tex]
[tex]= \dfrac{1624}{100}[/tex]
Therefore, the simplest form is,
[tex]= \dfrac{406}{25}[/tex]
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find the multiplication inverse of the following (1) -3
5
find the value of -12.8-88.2
Answer:
-101
Step-by-step explanation:
Answer:
-101
Step-by-step explanation:
-12.8-88.2 is equal to -101
An item is originally $52. It is on sale for 20% off. What is the sale price?
Answer:
$41.6
Step-by-step explanation:
20/100 x 52 = 10.4
52 - 10.4 = 41.6
kazito sold an item for sh 4950 and made a 12 ¹/2profit.what was the cost price of the item?
Answer:
[tex]Cost\ Price = 4331.25[/tex]
Step-by-step explanation:
Given
Selling Price = Sh. 4950
Profit = 12.5%
Required
Determine the cost price
Profit is calculated as:
[tex]Profit = \frac{Selling\ Price - Cost\ Price}{Selling\ Price} * 100\%[/tex]
Substitute values for Selling Price and Profit
[tex]12.5\% = \frac{4950 - Cost\ Price}{4950} * 100\%[/tex]
Cross Multiply:
[tex]4950 * 12.5\% = (4950 - Cost\ Price) 100\%[/tex]
[tex]\frac{4950 * 12.5\%}{100\%} = (4950 - Cost\ Price)[/tex]
[tex]618.75 = (4950 - Cost\ Price)[/tex]
Collect Like Terms
[tex]Cost\ Price = 4950 - 618.75[/tex]
[tex]Cost\ Price = 4331.25[/tex]
Hence, the cost price of the item is: Sh. 4331.25
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
25W+40J<120
According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?
Mwamini drinks juice at a rate of ___
seconds per liter, and her time limit is ____
seconds.
Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?
Choose 1 answer:
yes or no
Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
Answer:Yes
Step-by-step explanation:
1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
2) Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
What is inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
For given question,
We have been given an inequality 25W + 40J < 120
W represent the number of liters of water and J represent the number of liters of juice.
Mwamini drinks water at a rate of 25 seconds per liter.
Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
If Mwamini drinks 2 liters of water and 1 liter of juice.
Here, W = 2 lit and J = 1 lit
So, ⇒ 25W + 40J
= 25(2) + 40(1)
= 50 + 40
= 90
< 120
This means, Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
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Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
Yes it is parallelogram because diagonals bisect each other.
MATH WORK PLEASE HELP GIVING MANY POINTS ONLY DO THE ONES IN PURPLE!!
Answer:
Step-by-step explanation:
8,3,4,6,7,2,5,
Find the area of the shape shown below.
Answer:
Total Area = 26.75
Step-by-step explanation:
Remark
The hardest triangle to see is the top one. So we'll start with it.
It has a vertical leg of 3.5 and a horizontal one of 2 + 2 + 5 = 9
Top Triangle Area
Area = 1/2 base * height
Area = 1/2 * 9 * 3.5
Area = 15.75
Triangle on the lower left
Area = 1/2 * 2 * 2
Area = 2
Square on lower middle
Area = 2*2
Area = 4
Triangle on lower right area
Area = 1/2 * 2 * 5
Area = 5
Total Area
Total Area = 5 + 4 + 2 + 15.75
Total Area = 26.75
is a spray bottle a gallon pint quart or cup
Answer:
most bottles are
about 2 pints
Step-by-step explanation:
Plz mark brainliest!
Answer:
I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints
Step-by-step explanation:
Find the value of x help please.
Answer:
x= 6
Step-by-step explanation:
since the triangle is isosceles we know that opposite sides are equal
[tex]5x+5=35\\\\5x=35-5\\\\5x=30\\\\x=\frac{30}{5}\\\\x=6[/tex]
Answer:
[tex]\boxed {\boxed {\sf x=6}}[/tex]
Step-by-step explanation:
An isosceles triangle has 2 equal base angles and 2 equal legs.
In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.
[tex]35=5x+5[/tex]
Solve for the value of x by isolating the variable on one side of the equation.
5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
[tex]35-5=5x+5-5 \\ 35-5=5x\\30=5x[/tex]
x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.
[tex]\frac{30}{5} =\frac{5x}{5} \\\frac{30}{5}=x\\6=x[/tex]
The value of x is 6.
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
4 quizzes are taken per week
Write a decimal that the model represents
Answer:
number = 0.011
Step-by-step explanation:
Decimal Representation
The model is shown in the figure. It has a form of a cube where each face is divided into 10 equal squares, forming a 10x10x10=1,000 smaller cubes piece.
Out of that 1,000 cubes, only 11 are shaded. This leaves us to think the decimal represented by the model is the division between the shaded cubes by the total cubes, thus:
[tex]number= \frac{11}{1,000}[/tex]
Dividing:
number = 0.011
Find the value of 92^6/92^2
Answer:
=92^4 in think
Step-by-step explanation:
True or False: The rate at which men and women preferred SUV's are exactly the same.
True
False
Answer:
False
Step-by-step explanation:
The male's want sports cars more and the female's want SUV's more.
there are 36 students playing tag at recess. this is six times as many as are playing hopscotch which model shows the comparison
Answer:
6 are playing hopscotch
Step-by-step explanation:
share 50 in the ratio 3:7
Answer:
Step-by-step explanation:This Ratio Division Calculator allows you to divide an amount by a specific ratio. ... Alternatively, you can enter separate ratios for multi share ratio split of the ... 50% is a ratio expressed as a percentage; ½ is a ratio expressed as a fraction.
In the ratio of 3:7, the numbers are 15 and 35.
What is the ratio?A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.
Given:
A ratio of 3:7.
To share 50 in the ratio 3:7;
[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]
[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]
= [tex]50\cdot\frac{3}{10} \ {and}\ {50\cdot\frac{7}{10}[/tex]
= 5 x 3 and 5 x 7
= 15 and 35
Therefore, the numbers are 15 and 35.
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