Answer:
A) The algebraic expression
= 12x + 7 = 91
B) He drives 7 miles per day
Step-by-step explanation:
For 11 days straight, Mike drove the same distance every day going to and coming from work.
Step 1
We are told : Mike drives 91 miles in total in those 12 days,
On the 12th day, he drove an extra 7 miles.
Hence:
91 miles - 7 extra miles
= 84 miles
Step 2
The number of miles he drives per day:
84 miles/12
= 7 miles per day
Step 3
The expression we can use to find the distance he travels each day going to and from work is written as:
Let the number of miles he travels be day = x
12x + 7 = 91 miles
12x + 7 = 91
12x = 91 - 7
12x = 84
x = 84/12
x = 7 miles per day
The volume of a cube is 571.787 cubic inches. What is the length of each side of the cube?
Answer:
8.8in
Step-by-step explanation:
cube 571.787
A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A?
Answer:
1/2 = 0.5
Step-by-step explanation:
Given that the game company gave each customer a single game for testing
There is definitely just two outcomes, i.e. the customer will either recommend the game or Not recommend the game.
since we do not have additional information regarding what might influence the decision of the customer, hence the probability of either recommending the tested game or not recommending the game will be equal
∴P ( recommending tested game ) = 1 - 0.5 = 0.5
5/6 x 3/4 as an array is?
Question:
5/6 x 3/4 as an array is?
Answer:
0.625 or 5/8
Step-by-step explanation:
Using Arrays to Explore Numbers
Arrays are useful models for multiplication which can be used in a variety of ways, ranging from highly structured lessons to games and open investigations.
An array is formed by arranging a set of objects into rows and columns. Each column must contain the same number of objects as the other columns, and each row must have the same number as the other rows.
The following array, consisting of four columns and three rows, could be used to represent the number sentence 3 x 4 = 12, 4 x 3 =12, 3 + 3 + 3 + 3 = 12 and 4 + 4 + 4 =12.
Building Multiplication Facts and Tables
Arrays can be used for building multiplication facts in a meaningful way. Before drilling and memorising tables, children must understand how these facts are derived. For example, by progressively adding another column of three objects, children can build the three-times tables for themselves. This representation not only assists in understanding the process, but provides a visual image for children to draw upon as they begin to use and memorise the basic number facts.
Using arrays to explore larger numbers
Arrays can be helpfully used to explore calculations such as 13 x 5 where the array can be split into useful chunks such as 10 and 3. This means that children can use their known number facts to work out calculations.
Here 13 x 5 = (10 x 5) + (3 x 5).
After a while drawing all the dots can get very tedious! The blank array then becomes a very useful tool for helping children model their thinking and work out how to do more complex multiplications in an informal way.
Here's a child using the blank array, as a thinking tool, to help them work out 15 x 14.
The blank array helps children to use other strategies, such as compensating, when carrying out multiplication. Here, to work out 34 x 9, the child has decided to do 34 x 10 and then take off the 34 x 1.
Beyond the blank array this 'dividing the multiplication into easy parts' strategy can be formalised into the grid method. The children can see how the 'abstract' grid method overlays the array and formalises the blank array into a standard form.
Division as the Inverse Operation of Multiplication
Of the four operations, division is the most troublesome for young students. Full understanding of division tends to lag well behind the other operations. For many children opportunities to explore the concept with concrete materials are curtailed well before they perceive the relationships between division and the other three operations. One such relationship, the inverse relationship between division and multiplication, can be effectively illustrated using arrays.
For example; 3×5=15 or 3 rows of 5 make 15, can be represented by the following array.
Looking at the array differently reveals the inverse, that is
15÷3=5 or 15 put into 3 rows makes 5 columns - or 5 in each row.
Language clearly plays an important role in being able to express the mathematical relationships and the physical array supports this aspect of understanding by giving the children a concrete image to talk about.
Placing the mathematics into a real-life context through word problems can facilitate both understanding of the relationship and its expression through words.
For example, "The gardener planted 3 rows of 5 seeds. How many seeds did she plant?" poses quite a different problem to "The gardener planted 15 seeds in 3 equal rows. How many seeds in each row?" yet both these word problems can be modelled using the same array.
Further exploration of the array reveals two more ways of expressing inverse relationships: 5×3=15 and 15÷3=5 .
The word problems can be adapted to describe these operations and highlight the similarities and differences between the four expressions modelled by the one array.
Using the blank array
Suppose you want to figure out 176 ÷ 8. We can set this up as an array with the value of one side missing.
Using known multiplication facts the value of the missing side can be built up.
So the child can see that 22 lots of 8 is the same as 176.
The array is a very powerful tool for supporting the development of children's thinking around both multiplication and division.
PLS HELP!!!
Using the Pythagorean theorem if necessary please round your answer to the nearest 10th
1. a=7 and b=10 find C the missing side length
2. b=12 and c=13 find A the missing side length
3. A=4 and b=10 find C the missing side length
Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?
Answer: 35 cupcakes!
Step-by-step explanation:
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
The current in a certain resistor is 0.50A when it is connected to a potential difference of 110V. If the operating potential is 130V, the current in the same resistor is
Answer:
0.59 A
Step-by-step explanation:
The current in a certain resistor is 0.50 A
The potential difference is 110v
The operating potential is 130v
The current in the same resistor can be calculated as follows
= 110/0.50
= 220
= 130/220
= 0.59
Hence the current is 0.59 A
Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Divide. Reduce your answer to lowest terms.
5 and 5/7 divided by -5
Answer:
-1 and 1/7
Step-by-step explanation:
one way
5 and 5/7 = ((5*7)+5) / 7 = 40/7
(40/7 ) / -5 = (40/7) * (-1/5) = -40/35 = -1 and 5/35 = -1 and 1/7
another way
(5 and 5/7) / -5 = 5/-5 and (5/7) * (1/5) = -1 and 1/7
3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
a. Draw the circuit.
b. Calculate the equivalent resistance of the circuit.
c. Calculate the current through the battery.
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery?
4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
Answer:
I think it's 4
Step-by-step explanation:
Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions
Answer:
answer is in the picture
inez sells 24.8 acres of land for 22,568 what is the price per acre
Answer:
£910
Step-by-step explanation:
You have to divide the amount of acres by the overall price.
Hope this helped
For Triangle ABC, if AB = 14 mm, BC = 9 mm, and CA = 15 mm, what is the SMALLEST angle measure?
Answer:
9 mm
Step-by-step explanation:
The smallest leg usually has the smallest angle and the largest leg (the hypothese i.dk how to spell) usually has the largest angle
please help me out with this equation!
i will mark you as brainliest
Answer: Choice B
vertex = (3, -4)y intercept = (0, 5)x intercepts = (1, 0) and (5, 0)axis of symmetry: x = 3========================================================
Explanation:
The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.
--------
The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.
--------
On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.
--------
The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.
Sara
says that 7.09 is equivalent to 7 9/10. Do you agree? EXPLAIN
Answer:
I don't know lol
Step-by-step explanation:
I feel like I know but I can't put my finger on it \\
Screen Shot 2021-05-25 at 9.56.13 AM
Answer:
where is the question
have a good day :)
Step-by-step explanation:
Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
Expand and combine like terms.
(4m^5) – 5m^6) (4m^5 + 5m^6) =
Answer:
[tex]16m^{10} -25m^{12}[/tex]
Step-by-step explanation:
hope this helps :)
The expand and combination like terms (4m^5) – 5m^6) (4m^5 + 5m^6) is -9m^12 + (16)m^10.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The equation=(4m^5) – 5m^6) (4m^5 + 5m^6)
Now,
To expand the expression, we need to multiply each term inside the first parentheses by each term inside the second parentheses. This gives us:
(4m^5 - 5m^6) (4m^5 + 5m^6) = 4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6
To simplify the expression, we need to use the exponent rule that a^b * a^c = a^(b + c) and combine the terms that have the same base and exponent. This gives us:
4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6 = 16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6)
To further simplify the expression, we need to add the exponents and simplify the coefficients. This gives us:
16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6) = 16m^10 + 20m^11 - 20m^11 - 25m^12
To combine like terms, we need to add or subtract the coefficients of the terms that have the same base and exponent. This gives us:
16m^10 + 20m^11 - 20m^11 - 25m^12 = (16 - 25)m^12 + (20 - 20)m^11 + (16)m^10
= -9m^12 + (0)m^11 + (16)m^10
= -9m^12 + (16)m^10
Therefore, the equation will be equal to -9m^12 + (16)m^10.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)
Answer:
With 3 dots, you can only draw 1 triangle.
Step-by-step explanation:
All Triangles must have 3 sides, and 3 angles.
Note:
Pls, brainliest.
Thank you!
Mathematics pls help me.
Answer:
I think the answer may be 465
Step-by-step explanation:
105+115=220
150+95=245
245+220=465
Ali bought 20 dozen oranges 10% of them were rotten. How many oranges were good ?
Answer:
Step-by-step explanation:
rotten oranges=10/100*20
200/100
2 dozen
good oranges=total dozen-rotten oranges
20-2
18 d0zen were good oranges.
What do cos and sin mean?
Answer and Step-by-step explanation:
These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.
They are functions revealing the shape of a right triangle.
Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.
Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.
#teamtrees #PAW (Plant And Water)
Need help on this ASAP
Answer:
its attatched
Please help me out whoever helps I will mark branliest
Answer:
i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement
Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words
Answer:
4 minutes
Step-by-step explanation:
I will use ratios for this equation:
[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]
It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.
d1=3.5in;d2=18in.
what is the area of the rhombus
Answer:
Area = 31.5 squared inches
Step-by-step explanation:
I am assuming d1 and d2 diagnol lengths, so if that's true, then answer would A=(d1*d2)/2 (3.5*18)/2 = 63/2 = 31.5 squared inches
The following set of coordinates represents which figure?
(7, 10), (4, 7), (6, 5), (9, 8)
Answer:
yufglufgkhjtshjskjhlesglezgzeghllghjr4aeklbxjhihGHIUYGUYG
Step-by-step explanation:
My bill at the hair salon came to $110. If I tip my stylist 20% what will the total bill be
Answer:
I think it would be 132
Step-by-step explanation:
20% of 110=22 (22+110)=132
Geometry//// volume of a cylinder ✨✨✨✨
Answer:
595.82 cubic feet
Step-by-step explanation:
The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.
Now multiply 18.0625 by 10.5 to get 189.65625.
Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)
please help im very confused
Answer:
option D : 130°
Step-by-step explanation:
m∠2 = m∠7 = 130° , (corresponding angles)