Given:
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
To find:
The number of possible solutions, if the Order of Operations did not exist.
Solution:
We have,
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
Now,
Case 1:
[tex][4 + 9 + 16] \div [4 - 8 -(3 \times 5)]=29\div (4 - 8 -15)[/tex]
[tex]4 + 9 + 16 \div 4 - 8 -(3 \times 5)=-\dfrac{29}{19}[/tex]
Case 2:
[tex][4 + 9 + 16] \div (4 - 8 -3) \times 5=29\div (-7\times 5)[/tex]
[tex]4 + 9 + 16 \div (4 - 8 -3) \times 5=-\dfrac{29}{35}[/tex]
Case 3:
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=4+9+4-8-15[/tex]
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=-6[/tex]
Many more possibilities are there.
Therefore, there are more than 3 possible solutions.
3) John and his two friends went out to lunch.
Their lunches cost $7.29, $8.45, and $5.99. If
they each put in $10, how much total change will
they get back?
How much will 29
Answer:
they get 8.27$ back.
Step-by-step explanation:
Cost of lunch=$7.29+$8.45+$5.99
=$21.73
3 of them put $10 each=$10×3
$30
Total change they got back=$30-$21.73
=$8.27
Mark as a brainest answer ok
A rectangular parking lot has a length that is 10 yards greater than the width. The area of the parking lot is 600 square yards. Find the length and the width
Step-by-step explanation:
Let x be the width of the parking lot. Then (x + 10) is the length of the parking lot.
x(x + 10) = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
(x+30)(x-20) = 0
x = 20 or x = -30 (rejected as x must be positive)
Hence the length is 30 yards and the width is 20 yards.
Which multiplication equation can be used to explain the solution to 15 :
5 X 3 = 15
x 15 = 3
45 x š = 15
} x 15 = 5
Answer:
5 x 3 = 15
Step-by-step explanation:
x15 = 3 is impossible, because if you multiplied anything by 15 you wouldn't get 3.
Answer:
5x3= 15
Step-by-step explanation:
Jayden deposited $13 in a savings account that earns 2.6% simple interest. Which graph represents this scenario?
Answer:
not a hundred percent sure since there are no graphs attached but mine was Graph 1 to be the answer
After 2 years she will have earned $12 * 2*2.3% = $12* 4.6% = 55c interest (to the nearest cent). Therefore the balance will be $12.55
After 6 years she will have earned $12 * 6*2.3% = $12* 13.8% = $1.66 interest (to the nearest cent).
Therefore the balance will be $13.66
After 10 years she will have earned $12 * 10*2.3% = $12* 23% = $2.76 interest (to the nearest cent).
Therefore the balance will be $14.76
Ajar contains 6 pennies, 14 nickels, 16 dimes and 4 quarters. If one coin is
chosen at random, find P(nickel or dime) as a simplified fraction. You may
use the standard keyboard or Equatio to type the fraction. *
Answer:
P(nickel or dime) = 3/4
Step-by-step explanation:
First, find the total amount of coins that there are:
6 + 14 + 16 + 4 = (20) + (20) = 40
You are trying to find P(nickel or dime). Note that there are 14 nickels, and 16 dimes. Add these two numbers together:
P(Nickel or dime) = (14 + 16)/40
P(Nickel or dime) = (30)/40
Simplify. Divide common factors from both the numerator & denominator (10)
P(Nickel or dime) = (30/40)/(10/10) = 3/4
P(nickel or dime) = 3/4
~
The functions y=x2+cx2 are all solutions of equation: xy′+2y=4x2, (x>0). Find the constant c which produces a solution which also satisfies the initial condition y(10)=2.
Answer: c = -0.98
Step-by-step explanation: Differential equation of first order is an equation involving differentiable function and its derivative.
For the differential equation: [tex]xy' +2y=4x^{2}[/tex], it given a solution function:
[tex]y=x^{2}+cx^{2}[/tex]
Factorating the function: [tex]y=x^{2}(1+c)[/tex]
So, to determine constant c, use the initial condition:
When x = 10, y = 2:
[tex]2=10^{2}(1+c)[/tex]
[tex]1+c=\frac{2}{100}[/tex]
[tex]1+c=0.02[/tex]
c = -0.98
Constant c that satisfies the initial condition is c = -0.98
the price of a shirt is increased by 10%. later the price is reduced in a sale by 10%, is the sale price more, less or the same as it was at the start? give reasons for your answer
Answer:
less
Step-by-step explanation:
We assume price of a shirt is $100.
Initially price is increased by 10%: 100+10=110
Then it is reduced by 10%: 110-11=99
Now price of a shirt is $99.
Answer is price of a shirt is less than it was at the start.
What is a set of numbers are intergers but not whole numbers or natural numbers?
If you have negative numbers anywhere in the set, then that set cannot be part of the whole numbers or natural numbers. This is because
set of whole numbers = {0,1,2,3,4,5,...}
set of natural numbers = {1,2,3,4,5,...}
The only difference is that 0 is not included in the set of natural numbers. Neither set has negative values in them.
So for instance the set {-5, 1,2,7} involves a number that is neither part of the whole numbers or natural numbers set. But every item listed is an integer
set of integers = { ..., -3, -2, -1, 0, 1, 2, 3, ... }
We can see that the integers is the set of positive and negative whole numbers, with 0 as well
Answer:
All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.
Step-by-step explanation:
Brainliest for correct answer
Answer:
s = 120
r = 33
t = 33
Step-by-step explanation:
You are solving for the variables r & t & s. Note that it is given that the two parallelograms are congruent with each other.
Make sure that they are facing the same way. Note that DC ≅ GH, AD ≅HE, FE ≅ AB
Solve:
DC ≅ GH; 70 = s - 50
Isolate the variable, note the equal sign, what you do to one side, you do to the other. Add 50 to both sides;
70 (+50) = s - 50 (+50)
s = 70 + 50
s = 120
Solve:
AD ≅ HE
2r = 66
Isolate the variable, divide 2 from both sides:
(2r)/2 = (66)/2
r = 66/2
r = 33
Solve:
FE ≅ AB
t + 50 = 83
Isolate the variable, subtract 50 from both sides:
t + 50 (-50) = 83 (-50)
t = 83 - 50
t = 33
pls help ALSO HAVE A GAME FOR U WHO EVER ANSWERS IT FIRST GET A THANK U AND 5 STAR RATING :)
Answer:6x3
Step-by-step explanation:
it says 3 times as far as jena so 6x3
Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48, , ,
Answer:
-96
192
-384
Step-by-step explanation:
Multiply by negative 2
Answer:
12
Step-by-step explanation:
Is it possible to draw a triangle with these measurements?
• Side lengths 2 cm, 3 cm, and 4 cm
Answer:
Yes
Step-by-step explanation:
To form a triangle, any 2 of the side lengths added together must be greater than the 3rd side. In this case 2cm + 3cm = 5cm which is greater than 4cm (the remaining side)
Juvi is baking oatmeal raisin cookies and fudge brownies! To make 4 batches of brownies, Juvi needs 2/3 of a cup of sugar. She already has 1/2 of a cup of sugar in her cabinet and her sister Evi brings her 2/5 of a cup of sugar when she hears she needs more! Will Juvi have enough sugar to make 4 batches of brownies? If she does not have enough, how much more does she need? Explain below.**PLEAE HELP WILL MARK BRAINLIEST.
We can add the fractions together to compare with how much sugar she needs.
[tex]\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{5}=\frac{9}{10}[/tex]
So Juvi has [tex]\frac{9}{10}[/tex] cups of sugar.
She needs [tex]\frac{2}{3}[/tex] cups, so let's make the denominators the same and compare.
[tex]\frac{2}{3}=\frac{20}{30}[/tex]
[tex]\frac{9}{10}=\frac{27}{30}[/tex]
Since [tex]\frac{27}{30}[/tex] > [tex]\frac{20}{30}[/tex], she has enough sugar to make 4 batches of brownies.
Hope this helps.
頑張って!
Which statements regarding triangle DEF are correct? Select three options.
EF is the longest side of △DEF.
DF = 6 cm
DE = 12 StartRoot 3 EndRoot cm
DF = 4 StartRoot 3 EndRoot cm
DE = 6 StartRoot 3 EndRoot cm
Answer:
Options 1, 2, and 5 are the correct ones
Step-by-step explanation:
simplify 4+3(7+4 x 2)-100
Answer:
- 51
Step-by-step explanation:
Order of operations. What's in the parenthesis is first.
4 + 3 ( 7+4 x 2) - 100
Concentrate on (7 + 4 x 2 ) first.
We multiply first so 4 x 2 = 8 then we add.
(7 + 8) = 15
4 + 3(15) - 100 Again, we multiply first.
4 + 45 - 100 Now we can add and subtract in any order.
49 - 100 = - 51
Solve for x. x³ = 216
y/4 - 4 = 3
Two Step Equation
Answer:
28
Step-by-step explanation:
y/4-4 =3 /×4
y-16 =12
y =12 +16
y=28
28/4 - 4 =3
7 - 4 =3
3=3
PLEASE HELP U CAN TAKE ALL MY POINTS
Answer:
L (7,-2) M (0,-9) N (-6,5) P (1,12)
Step-by-step explanation:
since its over the y axis the y axis numbers will be the opposite
Answer:
(-7,2),(0,9),(6,-5),(-1,-12)
(7,-2),(0,-9),(-6,5),(1,12)
(2,-7),(9,0),(-5,6),(-12,-1)
is the difference of square root of 18 and 3 a rational number
how many numbers are 9 units from 0
Answer:
two
Step-by-step explanation:
-9 and 9
Sally identified the terms of the expression 9a + 4b - 18 as 9, 4, and 18. Explain her error.
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
So the terms are 9a, 4b, and 18.
hope it helps!
Answer:
Step-by-step explanation:
For the terms of the expression , Sally has to write coefficients with the variables
Terms: 9a , 4b , - 18
coefficient of b is = 1
Coefficient of a term is the numerical value of the variable
what must be added to ‐213 to get ‐312
n = - 99
Step-by-step explanation:- 213 + n = - 312
n = - 312 + 213
n = - (312 - 213)
n = - 99
HS Algebra
7. What is the solution of the system of equations?
y= -3X + 8
y= -5x - 2
Answer:y=-5x-2
Step-by-step explanation:
Answer:
x=5 y= -7
Step-by-step explanation:
y= -3x +8
-(y= -5x -2)
=> y=-3x+8
-y=5x+2
=> 0=2x+10
=> x=5
=>y=-3(5)+8
=> y= -7
(9h+3)(−h−1) porfavor ayudenme con esta pregunta.
Answer:
-9h² - 12h - 3
Step-by-step explanation:
Follow the FOIL method:
FOIL = First, Outside, Inside, Last
Multiply the terms together:
First: 9h * -h = -9h²
Outside: 9h * -1 = -9h
Inside: 3 * -h = -3h
Last: 3 * -1 = -3
Combine like terms: 9h² + (-9h - 3h) - 3
9h² - 12h - 3
-9h² - 12h - 3 is your answer.
~
Toni ran 4/5 mile in 1/5 hour. Write an equation for the distance in miles y that she ran in x hours if she ran at a constant rate.
Answer:
y=4x
Step-by-step explanation:
4/5 - 1/5
y - x
1/5y=4/5x
y=4x
G + 2 divided by 3 is the same as or greater than -6
Answer:
g + 2/3 [tex]\geq[/tex] -6
Step-by-step explanation:
Do you think Donald Trump..... Please answer the question from the picture
Answer:
For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.
Step-by-step explanation:
The points C, D, E and F all lie on the same line segment, in that order, such that the
ratio of CD: DE: EF is equal to 3 : 2: 6. If CF = 11, find DF.
I NEED HELP PLZ
Answer: Try 6
Step-by-step explanation:
The value of segment DF will be 8 units.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD: DE: EF is equal to 3 : 2: 6. If CF = 11. The value of DF will be calculated as below:-
3x + 2x + 6x = 11
11x = 11
x =1
DF = 2x + 6x
DF = 2 + 6
DF = 8
Therefore, the value of segment DF will be 8 units.
To know more about ratios and proportions follow
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solve for p: 5(4x+p)=w
Choose the answer that makes the sentence true.
integers are irrational.
No
Some
All
Answer:
Some
Step-by-step explanation:
The answer is Some
Answer:
some
Step-by-step explanation: