Answer:
a. Multiplication property of equality
b. Distributive property
c. addition property of equality
Step-by-step explanation:
The first one is wrong because you are multiplying the 2 on both sides to make it equal. There was nothing that they substituted for.
The second one will be the distributive property not the subtraction property of equality. They distributed the 2 into the [tex]\frac{1}{2}x[/tex] and the [tex]-5[/tex]. So that clears up that this step was the distributive property.
This one will be the addition property of equality because when you have a negative number you do the inverse so they added the 10 on both sides. Therefore it's the addition property of equality.
How many solutions does the system have?
x = -6y + 3
5x + 30y = 15
one solution
two solutions
infinitely many solutions
no solution
Answer:
infinitely many solutions
Step-by-step explanation:
we have: x+6y= 3
5x+30y=15
where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)
Thus, the system has infinitely many solutions.
another approach:
convert to slope-intercept form
y= -1/6x + 1/2
y= -1/6x + 1/2
thus, the system has infinitely many solutions.
(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)
can u pls help me with this question
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A is the variable.
82% of 23.7 is what ?
a)28.9
b)146.9
c)1943.4
d)19.4
*with work done plz:)
Answer:
the answer is C
Step-by-step explanation:
hope this helps you
.82×23.7=19.434
Answer:
D
Step-by-step explanation:
step 1: Simplify 82/100 to its simplest form to by two to get 41/50
Step 2: multiply 41 by 23.7
41×23.7= 1971.7
Step 3: Divide 1971.7÷50=19.434
to the nearest hundredths =
19.4
What is the value of the expression (0.4)2
Julien is baking cookies with his mother.
The recipe calls for:
1 ½ cups of flour
2 ⅔ cups of oatmeal
3 ¼ cups of chocolate chips
1 cup of sugar
½ cup of brown sugar
The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?
Answer:
well quite easily just doing the math
Step-by-step explanation:
Ta -Da
1 1/2 cups of flour = 12/8 cups of flour
2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal
1 cup sugar = 3/3 or 8/8 cups of sugar
1/2 cup of brown sugar = 4/8 cups of brown sugar
Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28
ounce bottles and one 64-ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?
A. 360 ounces
B. 180 ounces
C. 90 ounces
D. 190 ounces
Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency
Cherie owes the employment agency amount of $1,320.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.
Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.
Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.
So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.
Therefore, she owes the employment agency $1,320.
Learn more about Multiplication operations here:
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On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.
Answer:
10 5
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
First find the unit rate by find the cost per box.
To find the cost per post you will divide the cost by the number of boxes.
5/ 2 = 2.5
7.50/ 3 = 2.5
2.5 is indeed equal to 2.5 so they are equivalent.
is the relationship between the side length of a square and the area of a square proportional?
Answer:
Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Helps pls! Find the length of AB, given that DB is a median of the triangle and AC= 26
Answer:
AB=13
Step-by-step explanation:
AC=26 => AB=BC= 13
Find the length of segment WZ
T
y
2x
Z
W
3x - 5
10+x=21 ?
What’s the answer
Answer:
x=11
Step-by-step explanation:
first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11
Find the solution between - x - 3y = 6 and the equation of the line shown on the graph below.
Answer:
They are the same line.
Step-by-step explanation:
y = -1/3x - 2
-x - 3y = 6
First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.
Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.
-3y = x + 6
Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).
-3y = x + 6. -> y = -1/3x - 2
So, your final equation for -x - 3y = 6 should be;
y = -1/3x -2
Bringing down the other equation, we get:
y = -1/3x - 2 and y = -1/3x - 2
Making both equal to each other (they cancel each other out).
Hope this helps!
(And sorry that this is a long explanation)
Describe in words the translation represented by the vector (2. – 1).
A. 2 units to the right and Duunit down
B. 1 unit to the right and 2 units down
C. 2 units to the left and Duunit down
D. 2 units to the left and 1 unit up
44 laps in 7 days = ____ laps in 14 days
Answer:88
Step-by-step explanation:
Answer:
88?
Step-by-step explanation:
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet
B
[tex]2\frac{3}{4}[/tex] feet
C
[tex]5\frac{1}{4}[/tex] feet
D
8 feet
Answer:
A is the answer
Step-by-step explanation:
I think
Can all arithmetic sequences be modeled by a linear function?
Answer:
yes
Step-by-step explanation:
"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."
30 points! I will mark brainliest! Pic attached below
Answer:
parallel
Step-by-step explanation:
usually, you would put both into slope-intercept form...
but, you could also just use desmos :)
Answer:
Perpendicular
Step-by-step explanation:
they are the same but the seccond one is minus so the lines go the opposite way
Gavin is saving up to buy a new phone. He already has $100 and can save an additional $7 per week using money from his after school job. How much total money would Gavin have after 10 weeks of saving? Also, write an expression that represents the amount of money Gavin would have saved in w weeks.
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Mathematical expression:
A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.
Here we have
Gavin is saving up to buy a new phone.
He already has $100 and can save an additional $7 per week using money from his after-school job
Let us assume that he worked for 'w' weeks
The amount earned for 'w' weeks = 100 + 7w
Hence, the required expression is 100 + 7w
The total amount saved in 10 weeks = 100 + 7(10) = $ 170
Therefore,
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Learn more about Expression at
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Find the area of each geometric figure or product of the polynomial.
(-6r + 3) (-3r - 3)
A) 18r2 + 9r - 9
B) -30r2 - 38r + 16
C) 40r2 + 20r - 20
D) 40r2 + 60r + 20
Answer:
Step-by-step explanation:
Nose
A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia doll house are 1/2 of the measurements of the actual doll house. The floor of the doll house has an area of 1,176 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house? ___ inches by ___ inches
Answer:
no entiendo
Step-by-step explanation:
5/7 + 2/3
Plz Answer
Answer:
29/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
Answer:
1.38 or 1 and 1/7
Step-by-step explanation:
5/7 + 2/3
10/21 + 14/21= 24/21
then your have to divide 24 by 21 = 1 and 3/21
then simplify 1 1/7
does this help?
What is the value of the expression 19 - ?
Given that
5
x
:
9
=
8
:
3
Calculate the value of
x
.
THE CORRECT ANSWER WILL BE BRAINLIEST
Answer:
x=4.8
Step-by-step explanation:
5x:9 = 8:3
It can also be written as
5x/9 = 8/3
Cross multiply
5x*3 = 8*9
15x = 72
Divide both sides by 15
15x/15 = 72/15
x =4.8
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
Pablo folds a straw into a triangle with side lengths of 4x2-3 inches,4x2-2 inches, and 4x2-1 inches.Which expression can be used to find the perimeter of the triangle?
Answer:
The expression to find the perimeter is [tex]12x^2-6[/tex].
Step-by-step explanation:
Given: The side lengths of the triangle are [tex](4x^2-3)[/tex] inches, [tex](4x^2-2)[/tex] inches, and [tex](4x^2-1)[/tex] inches.
To find: The expression that can be used to find the perimeter of the triangle.
Solution:
We have,
The side lengths of the triangle are [tex](4x^2-3)[/tex] inches, [tex](4x^2-2)[/tex] inches, and [tex](4x^2-1)[/tex] inches.
We know that,
The perimeter of a triangle is sum of all the sides.
So, Perimeter [tex]=(4x^2-3)+(4x^2-2)+(4x^2-1)[/tex]
[tex]\implies \text{Perimeter}=12x^2-6[/tex]
Hence, the expression to find the perimeter is [tex]12x^2-6[/tex].
what eqwation of a parabola with a focus(6,-2) and a directrix x=-2
Answer:
The equation of the parabola
( y +2 )² = 16 (x-2)
Step-by-step explanation:
Step(i):-
Given the focus of the Parabola ( 6, -2 )
we know that the Focus of the Parabola
( h + a , k ) = ( 6 , -2 )
Comparing
h + a = 6 ...(i)
and k = -2
Given directrix of the parabola
x = -2
The directrix of the parabola x = h - a = -2
h - a = -2 ...(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 6 -2
2 h = 4
⇒ h = 2
Substitute 'h' = 2 in equation (i) , we get
h + a = 6
2 + a = 6
a = 6 -2 =4
Step(ii):-
The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4
[tex](y-k)^{2} = 4a ( x-h)[/tex]
( y - (-2))² = 4 (4) ( x -2)
Final answer:-
The equation of the parabola
[tex](y-(-2))^{2} = 4(4) ( x-2)[/tex]
( y +2 )² = 16 (x-2)
Solve for x.
And solve for Z
From Tales theorem: [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]
Solving for x:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]
Solving for z:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]
A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle