The first step to solve the equation 1 1/2 + 2 1/3 = ? is (a) First, you should convert the mixed numbers to improper fractions.
How to determine the first step?The equation is given as:
1 1/2 + 2 1/3 = ?
The terms in the equation are mixed numbers.
So, the first stem is to convert the mixed numbers to improper fractions
Hence, the true statement is (a) First, you should convert the mixed numbers to improper fractions.
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26=-12y-9+7y what is this answer
Answer:
[tex]y = - 7[/tex]
Solving steps:
=> 26=-12y-9+7y
Step 1: Simplify both sides of the equation.
make y the subject of formula
=> 26=−12y+−9+7y
=> 26=(−12y+7y)+(−9)
Combine like terms
=> 26=−5y+−9
=> 26=−5y−9
Step 2: Flip the equation.
=> −5y−9=26
Step 3: Add 9 to both sides.
=> −5y−9+9=26+9
=> −5y=35
Step 4: Divide both sides by -5.
.=> [tex] \frac{ - 5y}{ - 5} = \frac{35}{ - 5} [/tex]
=> y = - 7
Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over. What is the greatest number of groups Isaac can make?
Answer:
9r4
Step-by-step explanation:
8.4 + y = 10.7 108 = 9r 4.
Answer:
Step-by-step explanation:
Divide: 21/7
Your answer is 3
A student is making a scale model of his 30 foot long house and his scale model is 15 inches long. What is the scale factor?
Answer:
3.6/30 = 1/x
30/3.6 = 8.3333
1 inch = 8 1/3 feet
Answer:
24
Step-by-step explanation:
15 inches represent 30 feet = 30*12 inches = 360 inches
so 1 inch represent 360/15 = 24 inches
the scale factor is 24
7. There are 3 times as many adventure books as comic books in a bookshop. If there are 879 adventure books in the bookshop, how many comic books are there?
8. Miss Flores had 216 colored beads, She asked Kristel to share them equally with 5 other friends, How many beads did Kristel get?
9. Ann made 450 hamburgers for a fun fair. She packed them equally into 7 boxes. How many hamburgers were there in each box? How many hamburgers were left?
HELP ME PLEASE! x = ½ y what is the direct variation
There is a pair of parallel sides in the following shape.
10
2
2
What is the area of the shape?
The area of the shape is 12 square units
Area of a trapeziumThe given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = 2
b = 10
h = 2
Substituting the given parameters
A = 0.5(2+10)*2
A = 0.2(12) * 2
A = 12 square units
Hence the area of the shape is 12 square units
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The graph shows the amount customers pay for x pounds of cheese at a deli counter. Customers pay a certain price per pound up to exactly 5 pounds. If a customer buys more than 5 pounds. then the price per pound for the entire purchase is discounted.
The amount the customers pay is an illustration of a piecewise functions
The equations of the piecewise functions are: [tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
How to determine the equation of the piecewise function?For the first function, we have the following points.
(x,y) = (0,0) and (4,20) for 0 < x <= 5
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{20}{4} * x[/tex]
[tex]y = 5x[/tex] 0 < x <= 5
For the second function, we have the following points
(x,y) = (8,32) and (9,36) for x > 5
The equation of the line would be:
[tex]y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{36-32}{9-8} * (x - 8) + 32[/tex]
[tex]y = 4(x - 8) + 32[/tex]
[tex]y = 4x - 32 + 32[/tex]
[tex]y = 4x[/tex] x > 5
Hence, the equations of the piecewise functions are:
[tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
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If A = 2x - 722 + 3 and B = 4x2 - 12x, what is A + B?
A) -3x^2+10x+3
B) -3x^2-10x+3
C)3x^2-10x+3
D)6x^2-7x-9
Answer:
B
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power.
2x & (-12x) are like terms and
-7x² & 4x² are like terms
A = 2x - 7x² + 3
B = 4x² - 12x
A + B = 2x - 7x² + 3 + 4x² - 12x
= 2x - 12x - 7x² + 4x² + 3
= (2-12)x + (-7 + 4)x² + 3
= -10x + (-3x²) + 3
= -3x² - 10x +3
helppppp
Find the value of x.
The value of x is 8.77
Aysha has 136 buttons and 8containers,can she divided the buttons equally between the containers?
PLEASE HELP!!
(2x+3y-7)+(x-y)
show how you got the answer too please
Answer:
3x +2y -7
Step-by-step explanation:
The given expression can be simplified by combining like terms. Those are terms with the same variable. The commutative and associative properties of addition apply, as well as the distributive property.
(2x +3y -7) +(x -y) . . . . . given
= 2x +3y -7 +x -y . . . . . . eliminate (unneeded) parentheses
= (2x +x) +(3y -y) -7 . . . . group like terms
= (2+1)x +(3-1)y -7 . . . . . . combine coefficients of like terms (this is an application of the distributive property)
= 3x +2y -7
You are asked to make a list of possible 5-character passwords using the first 7 letters of the alphabet. How many distinct passwords can you make? Indicate whether this is a combination or permutation.
Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.
The order is important as abcde is a different password than edcba, hence the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 5 letters are chosen from a set of 7, hence:
[tex]P_{7,5} = \frac{7!}{(7-5)!} = 2520[/tex]
2520 distinct passwords can be made.
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QUESTION ON PIC THANK YOU!!
The ratio of yellow crayons to green crayons is 6 : 5.
If there are 18 yellow crayons, how many green crayons are there?
Answer:
15 Green crayons
Step-by-step explanation:
Ratio Yellow to green crayons
Thus, 6 → Yellow and 5 → Green
6 5
18 x
We need to divide 18 by 6 which is 3
5 x 3 = 15
Hence, Green Crayons ⇒ 15
[RevyBreeze]
15 green crayons
Step-by-step explanation:
Given:
The ratio of yellow crayons to green crayons is 6:5.To Find:
If there are 18 yellow crayons, how many green crayons are there?Solution:
Let,
yellow crayons = 6x green crayons = 5xIf there 18 yellow crayons so,
6x = 18
x = 18/6 = 3 ...(1)
By putting the value of x from equation (1) :-
➝ 5x => 5 × 3
=> 15
Therefore, there are 15 green crayons.
HELP ASAP WILL GIVE BRAINLIEST!!!
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 8π square inches.
What percent of the design is floral fabric?
Use 3.14 for π. Round your answer to the nearest whole percent.
Answer: the answer is 39
Step-by-step explanation:
i just took the test
Answer: 39%
Step-by-step explanation: i took the test :)
slope 4/5 y intersept -8
What is sin 60°?
A. 1
B. 1/2
Answer:
B.
[tex] \frac{1}{2} [/tex]
Hope it helps you<3The trip lasted 21 days. How many weeks did the trip last?
Answer:
3 is the answer
7 days make one week
21÷7 =3
help me find x please
Answer:
132°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...
arc CB = 2×∠CAB = 2×40° = 80°
Arc AC is twice the measure of inscribed angle ABC, so ...
arc AC = 2×∠ABC = 2×26° = 52°
The measure of central angle AOB is the same as the measure of arc AB.
x = ∠AOB = arcs AC +arc CB = 52° +80°
x = 132°
Draw the image when ABCD is translated along 1-4, 6).
Answer:
(9,4)
Step-by-step explanation:
your welome
Use the circle graph to determine how
many hours each day Sariah spends
on each activity.
School:
hours
Becky's Day
Eating
hours
10%
Eating:
Sleep:
Free time
15%
Homework
10%
Sleep
40%
Homework:
hours
hours
hours
School
25%
Free time:
Answer:
school=6 hours
eating= 2.4 hours
sleep= 9.6 hour
homework= 2.4 hours
free time= 3.6 hours
Step-by-step explanation:
Asriel says 2 times 2 is 4 Adrian says 2 times 3 is 6 Brittne says 2 times 5 is 4.Who is correct?
Answer:
Asriel is correct because 2 times 2 is 4 and 2 times 3 is 6 and 2 times 5 is 10 so Asriel is correct.
Answer: Asriel & Adrian
Step-by-step explanation: 2x2 =4 (Ex: if you have 2 apples and was given 2 more you would have 4 in total)
2x3=6 (Ex: like if you have 2 oranges and was given 3 more you always have to count by your multiples.)
joy is (4x + 5) years old her brother micheal is (3x - 2) years younger than her sister. then write an expression thet represents Michael's age
Answer:
(x +7) years old
Step-by-step explanation:
Joy= (4x +5) years old
Since Michael is (3x -2) years younger, we need to subtract (3x -2) from Joy's age to find out his age.
Michael
= (4x +5) -(3x -2)
= 4x +5 -3x +2 (expand)
= x +7
Thus, Michael is (x +7) years old.
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
well, is simply the difference from what the bottle has and what she poured, hmm let's firstly convert the mixed fraction to improper fraction and then subtract.
[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}~~ - ~~\cfrac{3}{4}\implies \cfrac{(2)5~~ - ~~(1)3}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{10-3}{4}\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]
Ivan rocks 2 1/8 miles to his aunts house he has already walked 3/4 miles how much further does he have to go explain how you solved
What ratios are equivalent to 14:6 ?choose all the equivalent ratios.
7:2
7:3
28:12
28:18
Answer: 7:3 and 28:12
Step-by-step explanation:
The equivalent form of the given ratio is 7 : 3. The correct answer is option (b).
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratio is 14 : 6.
A ratio of two numbers a and b can be written in the form of fraction as,
a : b = a/b
Thus, the given ratio can be simplified as,
14 : 6 = 14/6
= 7/3
Again it can be converted into the ratio as,
7/3 = 7 : 3
Hence, the equivalent ratio of the given ratio is 7 : 3.
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12 Complete the table to show equivalent times. Seconds Hours Minutes 210 8,400
Answer:
The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.
A line passes through the point , −9−3 and has a slope of 23.
Write an equation in slope-intercept form for this line.
Answer:
y=23x+204
Step-by-step explanation:
The Slope Intercept Form of the Equation of a Line is y=mx+c
where m is the Slope and c is the y-intercept
so for our problem m=Slope = 23
so the Equation will be y=23x+c
Now to find c just substitute by the given Point
-3=23*-9+c
c=204
so the Equation will be
y=23x+204
A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a
2 or an 8?
Answer:
c
Step-by-step explanation:
for this question, it helps to know what cards are in the deck. since there are four of everything (four suits), there will be four 8's and four kings. this means that we are aiming for one of 8 cards. therefore, 8/52= .1538 or answer C.
Two communication companies offer calling plans. With company x it cost $.30 to connect and then $.05 for each minute with company why it cost $.20 to connect and $.04 each minute. Simplify an expression that represents how much more company x charges incense for n minutes
Step-by-step explanation:
m = number of minutes
x(m) = 0.05m + 0.3
y(m) = 0.04m + 0.2
to find the difference between both company plans we need to subtract y from x :
0.05m + 0.3 - (0.04m + 0.2) =
= 0.05m + 0.3 - 0.04m - 0.2 =
= 0.01m + 0.1
company x charges for n minutes
$0.01n + $0.1
more.