Answer:
The daughter is 14 years old
Step-by-step explanation:
34＋8＝42
42÷3=14
Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!
Answer:
Step-by-step explanation:
Solving linear equation with one variable:1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4
[tex]\sf \boxed{\bf x = 4}[/tex]
2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)
[tex]\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}[/tex]
[tex]\sf \boxed{\bf x = -2}[/tex]
3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5
[tex]\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}[/tex]
Answer:
1) x = 4
2) x = -2
3) [tex]r= \frac{24}{7}[/tex] [tex](1\frac{7}{17})[/tex]
4) [tex]x=-\frac{9}{5}[/tex] [tex](-1\frac{4}{5})[/tex]
Step-by-step explanation:
hope this helps!!
(work shown in photo :) )
What is 2b - a? If b=12 and a=5
Answer:
24-5=19
Step-by-step explanation:
1. (2b)= 2(12)
2. a=5
3. 24-5
4.9
A triangle has the dimensions shown. The perimeter of the triangle would be represented by which type of expression?
linear expression
quadratic expression
exponential expression
rational expression
The third side is a linear expression , Option A is the right answer.
The missing diagram is attached with the figure.
What is a Triangle ?A triangle is a polygon with three sides , three vertices , three angles .
It is given that the side of the triangle as 3x+1 , 5x-2 , y
Perimeter is given as 10x-1
Perimeter = 3x+1 +5x-2 + y = 10x-1
8x -1 +y = 10x -1
y = 2x
which is a linear expression.
Therefore the third side is a linear expression , Option A is the right answer.
To know more about TrIangle
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If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.
Answer:
y = 2
Step-by-step explanation:
Y varies indirectly with x (as x gets bigger, y gets smaller)
You have to find k, the constant of proportionality.
y = [tex]\frac{k}{x}[/tex]
Plus in the x & y values you are given
58 = [tex]\frac{k}{9}[/tex] Multiply both sides by 9 to solve for k
k= 522
Now plug in the new value of x to solve for y
y = [tex]\frac{522}{261}[/tex]
y = 2
Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j³k²) (³4)
When j = -8and k = 7
The value of the expression for the given values is 1294139
Evaluating an expression
From the question, we are to rewrite the expression
(11j⁻³k²) (j³k⁴)
This can be rewritten as
11 × j⁻³ × k² × j³ × k⁴
11 × j⁻³ × j³ × k² × k⁴
11 × j⁻³⁺³ × k²⁺⁴
11 × j⁰× k⁶
= 11 × 1 × k⁶
= 11k⁶
Now we are to evaluate the expression for when j = -8 and k = 7
The expression is
= 11 × k⁶
= 11 × 7⁶
= 1294139
Hence, the value of the expression for the given values is 1294139
Here is the complete question:
Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j⁻³k²) (j³k⁴)
When j = -8 and k = 7
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Answer:
539
Step-by-step explanation:
The coefficient of 8 · 2N is
Answer:
The coefficient is 2
Two positive integers have a product of 242. One integer iS twice the other. What are the integers?
Answer:
11 and 22
Step-by-step explanation:
let one positive integer be n then the other is 2n , so
n × 2n = 242
2n² = 242 ( divide both sides by 2 )
n² = 121 ( take square root of both sides )
n = [tex]\sqrt{121}[/tex] = 11
2n = 2 × 11 = 22
the 2 integers are 11 and 22
I WILL GIVE BRAINIEST PLS HELP
∠2 and ∠8 are _____________ because they are _______________________.
supplementary/consecutive angles
congruent/consecutive angles
congruent/alternate interior angles
supplementary/alternate interior angles
Answer:
congruent/alternate interior angles
Step-by-step explanation:
just took the quiz
On a coordinate plane, a solid straight line has a negative slope and goes through (negative 2, 2) and (2, negative 8). Everything above and to the right of the line is shaded. The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.
Which linear equality will not have a shared solution set with the graphed linear inequality?
y > Two-fifthsx + 2
y < Negative five-halvesx – 7
y > Negative two-fifthsx – 5
y < Five-halvesx + 2
The linear inequality [tex]y \leq 5/2(x + 2)[/tex] will not have a shared solution set with the graphed linear inequality. the correct option is D.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).
m = (-8 -2)/ (2 +2)
m = -10/ 4
m = -5/2
The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.
[tex]y \geq -5/2 (x-3)[/tex]
The linear inequality [tex]y \leq 5/2(x + 2)[/tex] will not have a shared solution set with the graphed linear inequality.
Thus, the correct option is D.
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Answer:
its b the guy above me is wrong
Step-by-step explanation:
The dimensions of a cylindrical can of pet food are shown below.
What is the volume of the can, in terms of π?
A
2.25π cubic inches
B
4.5π cubic inches
C
9π cubic inches
D
18π cubic inches
Answer:
4.5 pie cubic inches
Answer:
B. 4.5π cubic inches
Step-by-step explanation:
The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.
[tex]\boxed{\text{Volume of cylinder}=πr^2h}[/tex]
Given: diameter= 3 in, height= 2 in.
Diameter= 2(radius)
r= 3 ÷2
r= 1.5
Substitute the value of r and h into the formula:
Volume of cylinder
= π(1.5²)(2)
= 4.5π in³
Thus, B is the correct option.
Additional:
For more about volume of cylinder, do check out the following!
https://brainly.com/question/62042733x squared + 6 x cube - 9x squared y when factorused
[tex]3x ^{2} \: + \: {6x}^{3} \: - \: 9 {x}^{2} y[/tex]
Factor the expression with the common factor that is "3x²".[tex] \boxed{ \bold{3 {x}^{2} \: \times \: (1 \: + \: 2x \: - \: 3y)}}[/tex]
MissSpanishAnswer:
[tex]\boxed{3x²(1 + 2x - 3y)}[/tex]
Step-by-step explanation:
3x squared + 6 x cube - 9x squared y
To factor
Solution:
A process when algebraic expression is expressed as a product of two or more expressions is factorisation.
ATP,
Square = a²
Cube = a³
3x² + 6x³ - 9x²yWe can see that 3x^2 is common in this expression.
So rewrite as:
[tex]3x²(1 + 2x - 3y)[/tex]Done!
A(-5, 2)
-10-8-6-4-2
10
↑リ
8
64
2
2
4.
6
-8
-10
B(1,6)
2
4
6 8 10
D(3,-10)
C(9,-6)
What is the area of rectangle ABCD?
O 43 units²
52 units²
O104 units²
O208 units²
The area of ABCD is 104 units²
What is area of rectangle?The area of rectangle is the product of its length to its breadth.
i.e., Area of rectangle= length * breadth
As, ABCD is in the shape of rectangle.
Using distance formula,
AB = √(1-(-5)² + (6-2)²
AB = √36+16
AB = √52
AB= 2√13
BC= √(9-1)² + (-6-6)²
BC= √64+144
BC =√208
BC= 4√13
Now, area of rectangle
=length * breadth
= 2√13 * 4√13
= 8*13
=104 units²
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sam and jose mowed 2/3 of the yard. jose mowed 3/4of that amount. whta part of the yard did jose mow?
Answer:
09
Step-by-step explanation:
34
what is the result of applying the square root property to the equality of the equation X plus B over two a squared equals -4 AC plus B2 over 4a two squared
After doing simplification, the result that we got is the quadratic formula
x = [-b ±√(b² - 4ac)] / 2a.
The given statement can be explained with the following equation:
[x + (b/2a)]² = (b² - 4ac) / 4a²
Now, we will take the root on both the sides:
x + (b/2a) = ±√[(b² - 4ac) / 4a²]
x = -(b/2a) ± √[(b² - 4ac) / 4a²]
x = [-b ±√(b² - 4ac)] / 2a
The final equation resembles the quadratic formula.
So, the result of applying the square root property to this equation is that we get the quadratic formula after simplification.
For more explanation about quadratic equations, refer to the following link:
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Put these types of angles in order, sta rting with the smallest angle size.
Smallest
Obtuse
Acute
Reflex
Right angle
Largest
<<<<
Update
Answer:
Acute, right angle, obtuse, reflex
Step-by-step explanation:
Answer:
Acute
right angle
obtuse
reflex angle
Step-by-step explanation:
What is the sum of (4x² + 2x - 3) and (3x² + 6)?
A 7x² + 2x + 3
B. 7x² + 3
C. c. 7x² + 2x - 3
D. 7x² - 2x + 3
Answer:
A
Step-by-step explanation:
(4x² + 2x - 3) + (3x² + 6)
= 4x² + 3x² + 2x - 3 + 6
= 7x² + 2x + 3
Write the fraction as a decimal.
six tenths
0.6
0.06
6.0
1.6
Answer:
[tex]\huge\boxed{\dfrac{6}{10}=0.6}[/tex]
Step-by-step explanation:
[tex]0.6=\dfrac{6}{10}[/tex]
one digit after the decimal point - one zero in the denominator
[tex]0.06=\dfrac{6}{100}[/tex]
two digits after the decimal point - two zeros in the denominator
[tex]6.0=6[/tex]
[tex]1.6=1\dfrac{6}{10}\ \text{or}\ 1.6=\dfrac{16}{10}[/tex]
someone please help me with this question!!
The Answer is in simplest form:-
4/9
=0.4444444444
Answer:
4/9
Step-by-step explanation:
1) since we know that; when a fraction is raised to a negative power, we take reciprocal of the fraction and raise both the numerator and the denominator to a positive power,
(27/8)^-⅔
that's how we write it then
2) we take the reciprocal and multiply with positive power respectively
(8/27)⅔
that is by expanding
8^⅔/27^⅔
enter it in your calculator and you should get
4/9
hope that helps!
Which table of ordered pairs represents a proportional relationship?
Answer:
The second table
Step-by-step explanation:
A proportional relationship is a relationship in which the ratio of two variables is equivalent.
2:10, 4:20, and 6:30 are all equivalent ratios that can all be simplified and written as 1:5, thus the second table is the correct answer
CD is the perpendicular bisector of both XY and ST, and CY = 16. Find TY.
The value of TY is 14
Given that CD is the perpendicular bisector of XY and ST and CY = 16
We need to find the value of TY
Here M is the midpoint of ST and D is the midpoint of XY
As shown in the diagram we can say that
CT = CS =12
We can also say that ST║XY
So , ∠CST = ∠CSY
∠CTS = ∠CYX
ΔSCT = ΔXCY
SX = CS - CX
= CY - CX
We can say that MT = SM = 5
DY = DX = 7
TY = SX = 4
CY = CX = 16
ST = SM + MT
ST= 5+5
∴ ST= 10
XY = XD +DY
XY = 7+7
∴ XY = 14
Hence the value of XY is 14
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A scale model of a statue has a height of 20 cm. The real statue has a height of 2 m. The model and statue are both made of the same stone which has a density of 1.8 g/cm3. The mass of the real statue is 104.4 kg. Find the volume of the model in cm3
The volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
A scale model of a statue has a height of 20 cm.
The formula for density:
D = mass/volume
Volume = base area×hieght
104.4 kg = 104400 grams
2 m = 200 cm
Volume = Mass/D
Volume(real statue) = 104400/200 = 522 cubic cm
Scale factor = 20/200 = 1/10
Volume of model statue = 522(1/10) = 52.2 cubic cm
Thus, the volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m
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the sum of twice the number x and 25 more than three times the number y
Answer:
Correct expression:
[tex]2x + 3y + 25[/tex]
If the zeros of a quadratic equation are
7 and 4, what would be the factors?
Answer:
The factors are (x-7) and (x-4)
Step-by-step explanation:
We are finding the factors of a function from the zeros
The zeros are 7 and 4
We can use the zero product property which is
(x-b)(x-c) = 0 where b and c are the zeros
(x-7) (x-4) =0
The factors are (x-7) and (x-4)
The first number in a pattern is 186. The pattern follows the rule subtract 17. What are the next three numbers?
Answer:
169, 152, 135
Step-by-step explanation:
186-17=169
169-17=152
152-17=135
Identify the constant of proportionality from the table.
xy
3 6
4 8
7 14
9 18
write equation of the log base of 3
Answer:
see below
Step-by-step explanation:
The graph is shifted to the RIGHT so it will be a ' x-1'
and it is shifted UP 3 units so:
Looks like log3 (x-1) + 3
at x = 4 the value of the graph is 4
log3 (4-1) + 3 = 4 CHECK !
Which inequality is equivalent to |x-4| less than 9? –9 > x – 4 < 9 –9 < x – 4 < 9 x – 4 < –9 or x – 4 < 9 x – 4 > –9 or x – 4 < 9
What is the equation of the line?
y=13x
y=−13x
y = 3x
y=−3x
Hi!
I am not completely sure what you mean but if you are looking for the slope of a line here is the best way to find it.
Y=Mx+b
it look difficult but really it's quite easy and once you get it it's super memorable. Y will always be Y that doesn't change. The M is the slope of the line (don't let equations confuse you with different letters! the M might be different but it is always the letter next to x) and b is the y intercept (where the line crosses y). All you need to find the slope of a line is 3 points. I see here you have a graph. So what you do is count how much it's moving up each block on the graph. I would say your slope is about 1/3. Y is really easy! just find the point it crosses the y axis(horizontal axis or the one going up and down) for yours it's 0. So your answer is y=1/3x+0
if the ratio to cats to dogs at the city pound is 92 to 144. which statement describes this relationship?
Answer:
For every 92 cats in the city pound, there are 144 dogs.
OR
For every 144 dogs in the city pound, there are 92 cats
Step-by-step explanation:
You didn't provide the options, so that was my best shot at it.
the sum of m and n is 32, and the value of m is three times the value of n. what is the value of m and n?
A. m+n=32
n= 3m
B. m+3n=32
m=3n
C. m+n=32
m=3n
D. m+n=3
32m=n
Answer:
The correct set of equations is C.
Step-by-step explanation:
m + n = 32
m = 3n
We have 4n = 32, so n = 8 and m = 24.
