The translation of the phrase The sum of -15y and 16y is −4 is
-15y + 16y = -4 and the value of y is -4.
What is an algebraic equation?An algebraic equation is written in the form of variables and constants and we combine these variables and constants with arithmetic operations.
In the given question there is a statement The sum of -15y and 16y is −4 and we have to express it in form of numerical and solve for y or find the value of y.
∴ The sum of -15y and 16y is −4 can be expressed numerically as,
-15y + 16y = -4.
y = -4.
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I`m trying to figure this out. Please see question with multiple choices.
The equivalent expression of (10⁻² . 4⁵)⁻² is 10⁴ / 4¹⁰
How to find equivalent expression?We have to find the expression that is equivalent to the expression below:
(10⁻² . 4⁵)⁻².
Therefore, using the law of indices,
[tex](x^{a} )^{b} = x^{ab}[/tex]
Hence, let's find the equivalent expression by applying the laws of indices.
(10⁻² . 4⁵)⁻² = 10⁴ . 4⁻¹⁰
Also, applying the law of indices,
[tex]x^{-b} = \frac{1}{x^{b} }[/tex]
Therefore,
10⁴ . 4⁻¹⁰ = 10⁴ / 4¹⁰
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the middle term of the expansion
[tex] (ax + ay)^{n} [/tex]
is
[tex]14580x ^{3} y^{3} [/tex]
find the value of a and the value of n, where a, n are elements of N.
Answer:
Hello,
a=3
Step-by-step explanation:
Since the middle term is x^3y^3 ==> n=6
Coefficient of x^3y^3 is 20 (triangle de Pascal)
So a^6= 14580/20=729 ==> a=3
Two consecutive positive integers such that the square of the second integer added to 4 times the first is equal to 41
Answer:
4 and 5
Step-by-step explanation:
We need 2 positive numbers that are right beside each other, like 1 and 2. When the problem is translates into number format we get:
y^2+4x=41
x = 1st # and y = 2nd #
so if we do 4 (x) and 5 (y)
5^2+4(4)=41
the statement is true.
ow:
(7-21)-(4+ 8) =
Answer:-26
Step-by-step explanation:
Answer:-14-12=-26
Step-by-step explanation: PEMDAS. You do the first parentheses which is 7-21, which will get you -14. Then you do the second parentheses, 4+8. That will get you 12. Then since there’s no multiplication/division, you go to addition/subtraction and since there’s a subtraction symbol in between the parentheses, that’s what you do. -14-12 which will get you -26.
Hope this helps!
Btw PEMDAS stands for (for those people who don’t know or don’t remember)
Parentheses
Exponents
Multiplication*
Division*
Addition’
Subtraction’
*do both together, whichever one comes first when reading it
’do both together, whichever one comes first when reading it
Write
17/100
as a decimal number.
Answer: 0.17
Step-by-step explanation:
Plug the equation into a calculator (17 divided by 100).
You can also think of the problem like this; move both decimal places to the left twice since, in 100, there are two 0's.
17 -> 0.17
100 -> 1
This can also work with 17 and 1000, but you would have to move the decimal place three times.
17 -> 0.017
1000 -> 1
1 2/3 + 3 3/4 as a fraction
Answer:
5/3 + 15/4 are the fractions
Construct a frequency distribution for the data using five classes. Describe the shape of the distribution.
The data set: ages of dishwashers (in years) in 20 randomly selected households
table ( (12 6 4 9 11 1 7 8 9 8)(9 13 5 15 7 6 8 8 2 1) )
The shape of the distribution of the given data set is : Bell shaped
What is Frequency distribution ?
Frequency distribution, in statistics, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Simple examples are election returns and test scores listed by percentile. A frequency distribution can be graphed as a histogram or pie chart.
Data: 12 6 4 9 11 1 7 8 9 8 9 13 5 15 7 6 8 8 2 1
Classes = 5
Class Frequency
1-3 →3
4-6 →4
7-9 →9
10-12 →2
13-15 →2
The shape of the distribution is peak at the center and down at both the ends,
Therefore, we can say that the shape of the distribution is bell shaped.
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The median for the given set of six ordered data values is 29.5
7 12 23 __ 41 50 What is the missing value?
Answer: 36
Step-by-step explanation:
Median of an even number data set, you would add the two middle numbers divided by 2. Answer is 36. See attached solution
Graph the function. Identify the domain and range.
Find the value of B in the following equation if you know it
goes through the point (-4,1).
5x - 3y = B
B =
Answer:
17
Step-by-step explanation:
We can substitute x = -4 and y = 1 since the point lies on the line.
[tex]5(-4)-3(1)=B \\ \\ B=17[/tex]
Answer this question please
GIVING BRAINIEST IF CORRECT!!!!
Multiply and express in simplest radical form.
The equationnnnnnnnnnnnnn
Answer:
Step-by-step explanation:
9 ( 3 + 4) - 8 / 4 =
( use BIDMAS)
first step is brackets:
9 (7) - 8 / 4 =
next step is division:
63 - (8 / 4) =
63 - 2 = 61
hope that helps :)
Answer:
35
Step-by-step explanation:
thx for the pionts loolllll
I don’t understand, can someone help me :)
I think you are supposed to add the the numbers in that row and if it's more that 18 and less that 37 that's the answer. exapmle:
2,8,3,9,5
Add those together and get 27. 27 is less than 37 and more that 18 so it would be one of the answers.
I could be wrong but I'm pretty sure that is what you do
Graph the line with slope
-1/2
passing through the point (-1,-4)
Equation of the line with slope -1/2 passing through the point (-1,-4) is x + 2y = -9
Given,
the slope of the line = -1/2
the line passes through the point (-1,-4)
=> s = -1 and t = -4
The following equation can be used to find the line's equation:
( y - t ) = slope ( x - s )
We get by substituting the values in the equation
=> y + 4 = - 1/2 * ( x + 1 )
=> x + 2y = -1 - 8
=> x + 2y = -9
Therefore, by using the formula for equation of line, we get the equation of the line with slope -1/2 passing through the point (-1,-4) as x + 2y = -9
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I WIL VOTE BRAINLISET SOMEONE PLEASE HELP
Answer:
26.0 cm
Step-by-step explanation:
Given quadrilateral ABCD with diagonal BD forming triangles ABD and BCD, and angles A=90°, C=52°, ADB=35°, and CBD=52°, you want the length of CD to 3 significant figures.
Law of SinesThe law of sines tells you the relation between sides and opposite angles is ...
a/sin(A) = b/sin(B) = c/sin(C)
This lets us write two proportions that can be solved for the measure of CD.
In triangle ABD:
BD/sin(A) = AB/sin(D)
BD = AB·sin(90°)/sin(35°) = 12 cm/sin(35°) ≈ 20.921 cm
In triangle BCD:
CD/sin(B) = BD/sin(C)
CD = BD·sin(B)/sin(C) = 20.921 cm·sin(102°)/sin(52°) ≈ 25.969 cm
The length of CD is about 26.0 cm.
each day a bobcat drinks about 3 times as much water as a canada goose drinks. how much water can a bobcat drink in 1 day?
The water that a bobcat drink in 1 day will be 3x.
How to calculate the value?Let the amount of water be represented by x.
From the information, it was stated that each day a bobcat drinks about 3 times as much water as a canada goose drinks.
Let the water that the Canada goose drank be represented as x
Therefore, the water that a bobcat drink in 1 day will be 3x.
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El 32%de 125 cual es la respuesta
Answer:
40
Step-by-step explanation:
=125x32
=4,000÷100
=40
What is the value of the digit in the ones place in each number?431
Answer:
Step-by-step explanation:
400
30
1
400 FOR HUNDREDS
Solve for X: 4x+3x-x=-5+6x
Since the values on both sides of the expression are different, hence the equation has no solution.
Solving linear equationsLinear equation are equations that has a linear degree of 1. The standard linear equation is y = mx + b
Given the expression 4x+3x-x=-5+6x
Collect the like terms
4x+3x-x = -5+6x
4x+3x-x-6x = -5
7x - 7x = -5
Simplify
-0x = -5
0x = 5
x = 5/0
Since the values on both sides of the expression are different, hence the equation has no solution.
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The value of x is -5
What are algebraic expressions?Algebraic expressions are expressions that comprised of;
variablestermsfactorscoefficientsconstantsThey are also made of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc
Given the equation;
4x + 3x = -5 + 6x
Let's solve for x
We have;
collect like terms
4x + 3x - 6x = -5
Add or subtract like terms
7x - 6x = - 5
x = -5
Thus, the value of x is -5
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Answer this question please
The correct option is option B) which is that the statement is true for all real numbers.
According to the question we have been given the inequality equation as
|2s-7| ≥ -1
We know that for b<0,
if |a| ≥ b then all real numbers.
Here we have been given,
|a| = |2s-7|
b = -1 <0
As it is fulfilling the above condition and also all the absolute values are non-negative. Therefore the statement is true for all real numbers.
Hence the solution of the |2s-7| ≥ -1 is true for all real numbers that is option B) is the correct option.
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How do you perform the indicated operation, 8 x 10^16/4 x 10^11?
8 x 10^16/4 x 10^11
do exponents first
8 x 10,000,000,000,000,000/4 x 100,000,000,000
than multiply
80,000,000,000,000,000/4 x 100,000,000,000
than divide
20,000,000,000,000,000x 100,000,000,000
2,000,000,000,000,000,000,000,000,000
Write the equation in point-slope form of the line that passes through (-8, 2) and has the slope of −34 .
Answer:
y = -34x - 270
Step-by-step explanation:
m = -34, y = 2, x = -8
y = mx + b
2 = -34(-8) + b
b = 2 - 272
b = -270
y = -34x - 270
The dose of posaconazole in the treatment of oropharyngeal candidiasis is 100 mg twice a day on the first day and then 100 mg once a day for the next 13 days. Posaconazole oral suspension (posaconazole, 40 mg/mL) is available in 4-fluidounce bottles. How many bottles should be dispensed to meet the dosing requirements?
The number of 4-fluidounce bottles that should be dispensed to meet the dosing requirements for the treatment of oropharyngeal candidiasis is 37.5 bottles.
How is the number of bottles determined?To determine the number of 4-fluidounce bottles, we apply mathematical operations of addition, subtraction, division, and multiplication.
First, the total dosage is determined as 1,500 mg.
Since 40 mg/mL is available in 4-fluidounce bottles, the total dosage is divided by 40 mg/mL to determine the number of bottles required.
Data and Calculations:Dose of posaconazole for the first day = 100 mg twice
= 200 mg (100 mg x 2)
The total number of days for the dosage = 14
Dose for next 13 days = 1,300 mg (100 mg x 13)
Total dosage = 1,500 mg (200 mg + 1,300 mg)
40 mg/mL = 4-fluidounce bottle
1,500 mg = 37.5 bottles (1,500/40)
Thus, the number of 4-fluidounce bottles is 37.5 bottles.
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Question
Simplify: (-12az² — 2z³) + (-2a³ +7a²z) − (−4a²z + 8az²),
3. Log(x) +2= log(y) Which is larger x or y and by how much?
Answer:
y is 100 times larger than x===========================
Use identities[tex]log (a) + log (b) = log (ab)[/tex],[tex]a = log (10^a)[/tex],If [tex]log (a) = log (b)[/tex], then a = b.Rewrite and comparelog (x) + 2 = log (y)log (x) + log (10²) = log (y)log (x) + log (100) = log (y)log (100x) = log (y)100x = yy = 100xy is greater by 100 times
Jacob built a box with a volume of 90 cubic meters.
Choose all the boxes that Jacob could have built.
Answer:
A and D
Step-by-step explanation:
[tex]\sf \boxed{\text{\bf Volume of rectangular box = length * width * height}}[/tex]
A) Volume of the given box = 6 * 3 * 5
= 90 cubic meters.
D) Volume of the given box = 3 * 2 * 15
= 90 cubic meters
Solve for x
3x-1=11
Answer: x = 4
Step-by-step explanation:
Given:
3x - 1 = 11
Add 1 to both sides of the equation:
3x = 12
Divide both sides of the equation by 3:
x = 4
Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?
Answer:
70 ft
Step-by-step explanation:
You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.
Scale factorEach inch represents 10 feet, so 7 inches will represent ...
7 × 10 ft = 70 ft
The gym is 70 ft wide.
__
Additional comment
You can also write and solve an equation that shows the measures are proportional:
actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)
Multiplying both sides of this proportion by 7 in, we have ...
gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft
One liter of interior paint covers 100 square feet. How many gallons of paint does it take to cover 800 square meters of walls?
By doing some changes of units, we can see that we will need 22.61 gallons of paint to cover 800 square meters.
How many gallons does it take to cover 800 square meters of walls?
We know that with one liter of interior paint we can cover 100 square feet.
Remember the relation between square feet and square meeters:
1ft^2 = 0.092 m^2
Then with one liter we can cover:
100ft^2 = 100*0.092 m^2 = 9.2 m^2
So the number of liters of paint that we need to cover the 800 m^2 is given by the quotient:
L = 800m^2/9.2m^2 = 86.96
We need 86.96 liters of paint, and the relation between liters and gallons is:
1 L = 0.26 gal
Then we need:
86.96 L = 86.96*(0.26 gal) = 22.61 gal
We will need 22.61 gallons of paint to cover 800 square meters.
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