9514 1404 393
Answer:
the properties of equality tell you so
Step-by-step explanation:
A couple of properties of equality come into play here:
the addition property of equalitythe substitution property of equalityEach of the properties of equality tells you an operation you can perform on an equation without changing the values of the variables that satisfy that equation.
If we start with the equation ...
5c + 4p = 18.40
and we add 11.20 to both sides, we have not changed the values of the variables that satisfy this equation. This is the addition property of equality.
(5c +4p) +11.20 = (18.40) +11.20
The substitution property of equality says I can substitute anything for its equal. The second given equation tells me that 2c +4p = 11.20. This means I can use 2c+4p wherever 11.20 might be found without changing any variable values. In the equation we got from addition, we can now make this substitution, and we have ...
(5c +4p) +(2c +4p) = (18.40) +(11.20)
7c +8p = 29.60 . . . . . . . collect terms
We obtained this equation using properties of equality that guarantee solutions to these equations are not altered by the process.
_____
*Additional comment
Technically, by doing the "collect terms" step, we have made the assumption that the values of c and p that satisfy the first equation are the same as the values of c and p that satisfy the second equation. This is usually the case we're interested in.
Find the midpoint between (-9, 3) and (5, 7). PLEASE SOLVE THIS QUICK!! DUE IN AN HOUR
Answer:
(-2,5)
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
We know that mid - point of a line segment divides it into two equal parts, that is it divides the segment in the ratio of 1 : 1, so let's find the coordinates of the mid point of line segment joining points (-9 , 3) and (5 , 7).
let the coordinates of the points be x and y, now
[tex]m = 1[/tex][tex]n = 1[/tex][tex]x_2 = 5[/tex][tex]x_1 = - 9[/tex][tex]y_2 = 7[/tex][tex]y_1 = 3[/tex]Using section formula :
value of x :
[tex]x = \dfrac{mx_2 - nx_1}{m + n} [/tex][tex]x = \dfrac{(1 \times 5) - (1 \times - 9)}{1 + 1} [/tex][tex]x = \dfrac{5 - ( - 9)}{2} [/tex][tex]x = \dfrac{5 + 9}{2} [/tex][tex]x = \dfrac{14}{2} [/tex][tex]x = 7[/tex]value of y :
[tex]y = \dfrac{my_2 -ny_1 }{m+ n} [/tex][tex]y = \dfrac{(1 \times 7) - (1 \times 3)}{1 + 1} [/tex][tex]y = \dfrac{7 - 3}{2}[/tex][tex]y = \dfrac{4}{2} [/tex][tex]y = 2[/tex]So, coordinates of the point which is midpoint of the given line is :
[tex] \boxed{ \boxed{ (7, 2)}}[/tex]
Simplify: the square root 400/576
Answer:
5 / 6
Step-by-step explanation:
√( 400 / 576 )
= √400 / √576
= 20 / 24
= 5 / 6
Answer:
5/6
Step-by-step explanation:
The GCF is 16 then divide it by both of denominator and numerator
> 400÷16/576÷16
> 25/36
then write there exponential form a²+b², a²-b², a²/b²
> 5²/6²
Simplify or (Reduce) there exponent
> 5/6
in math, the word dilate means to
Answer: it means to make larger or smaller.
Step-by-step explanation:
it means to make larger or smaller.
Answer:
A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change. ... Knowing the scale factor allows you to predict what the image will look like after the dilation.
Step-by-step explanation:
Hi, wanted to know if this looks correct to you guys, please leme know?
Answer:
yep all looks good to me
Step-by-step explanation:
Find the final price of a $150.00 guitar after a 40%
discount and 6% tax.
Answer:
$ 100?
Step-by-step explanation:
That's my answer
Hi, Which statement is True?
Answer:
The second one is true
Step-by-step explanation:
if 25 articles cost $43.75 how much does each cost?
Answer:
$1.75
Step-by-step explanation:
I had this question and got it right!
Pls help do all and I’ll brainlist you
Answer:
1. 28.7
2. 14.11
3. 35.3
4. 32.8
Step-by-step explanation:
you just multiply then round the nearest tenths.
Given b(x)= (-3,7), state what the coordinates of this point will be of the following transformations are effected: 2b(x)
x-2y+z=2
bx+ay=3
-2y+z=-4
Choose appropriate values for a and b
Answer:
Attached
Step-by-step explanation:
Just for your reference, this question will get unlimited number of solutions, attached is a few examples I calculated from Excel. Have fun to pick one or create one to be your favorite.
Helpppppppopooppp pleassseee
Answer:
point p. ok. vrvxfff77t.
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 7 : 40 p.m. At this time, he started pumping gas into the tank. At exactly 7 : 45 , the tank was full and he noticed that he has pumped 12.3 gallons. What is the average rate of flow of the gasoline into the gas tank
Answer: 2.46 gallons per minute.
Step-by-step explanation:
12.3 divided by 5 is 2.46.
[tex]x^{2} -5x-6[/tex]
Answer:
[tex] {x}^{2} - 5x - 6 \\ (x - 6)(x + 1)[/tex]
I hope I helped you^_^
what is the value of the 4 in 53.42
Answer:
The value of four is tenths. If you are stuck in a question like this, just draw a place value grid.
Answer:
tens so 4*10 = 40
Step-by-step explanation:
53.42
the value of 4 is 4*10=40
PLEASE SOME ANSWER QUICKLY!!!!
Answer:
D
Step-by-step explanation:
The range is the y-values of a function. In this case, it would be 2, 4, 9, 16
b. 60:45 and 4:3 why is it equivalent.
Step-by-step explanation:
60:45 in fraction form is [tex]\frac{60}{45}[/tex], and reducing it to its simplest form by dividing the fraction by [tex]\frac{15}{15}[/tex] gives you:
[tex]\frac{60}{45}[/tex] ÷ [tex]\frac{15}{15}[/tex] = [tex]\frac{4}{3}[/tex]
Likewise, 4:3 in fraction form is [tex]\frac{4}{3}[/tex].
Therefore, 60:45 and 4:3 are equivalent.
Answer:
because both can be divided by 15
Step-by-step explanation:
60/15=4
45/15=3
solve 12.01 x 5.21
please help me!
Answer:
62,5721
Step-by-step explanation:
12,01 × 5,21
= 62,5721
find all the zeros of the quadratic function y=x²-9x+20
Answer:
Roots: x = 5; x = 4
Step-by-step explanation:
Given the quadratic equation, x² -9x + 20 = 0
where a = 1, b = -9, and c = 20
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (-9)² - 4(1)(20) = 1
Since b² - 4ac > 0, then it means that the equation will have two real roots.
Use the Quadratic Formula:
[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]x = \frac{-(-9) +/- \sqrt{(-9)^{2} - 4(1)(20)} }{2(1)}[/tex]
[tex]x = \frac{9 +/- \sqrt{1}}{2}[/tex]
[tex]x = \frac{9 + 1}{2}; x = \frac{9 - 1}{2}[/tex]
[tex]x = \frac{10}{2}; x = \frac{8}{2}[/tex]
x = 5; x = 4
Therefore, the roots of the quadratic equation are: x = 5; x = 4.
How do I evaluate this
Answer:
18
Step-by-step explanation:
Plug in 3 for x
2(3)^2
2(3*3)
2*9
18
Answer:
The answer is 18
Step-by-step explanation:
2x², x = 3
Evaluate 3
2(3)²
2 × 9 = 18
Thus, The answer is 18
-TheUnknownScientist 72
PLS HELP ME UNDERSTAND THIS
Answer:
-1
Step-by-step explanation:
can be soled by substitution remember BEDMAS
can also be written like this
((-2)-2*(-0.5))^3
PLEASE I NEED HELP ASAP!!
Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If an object made of this alloy weighs 77 pounds, how many pounds of aluminum does it contain?
Answer:
The correct answer is (A). Copper and aluminum in the ratio of 10:1 means 10 parts copper to 1 part aluminum.
Step-by-step explanation:
7 pounds of aluminum in aluminum bronze by by weight.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What is percentage?The percentage is defined as the ratio expressed as a fraction of 100.
The percentage is denoted by sign of %.
For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.
Aluminum bronze consists of copper and aluminum in the ratio of 10:1 by weight
The ratio of copper and aluminum in aluminum bronze = 10:1
Let, aluminum in aluminum bronze by weight = x pound
And copper in aluminum bronze by weight = 10x pound
Since object made of this alloy weighs 77 pounds
So, x + 10x = 77
11x = 77
x = 7
Hence, 7 pounds of aluminum in aluminum bronze by by weight
Learn more about Ratio here:
brainly.com/question/1504221
#SPJ2
I am stuck on how to do this, can someone please help?
1. Compute the total, and then fill in the rest of the ratio table given the different quantities that
have been set to 100. Make sure to always use the numbers in the first row to avoid round off error. Note the header row with titles is not counted as the “first” row. The first one is done for you.
Answer:
whats the problem about addition or subtraction or what then ill help u and post in comments
Step-by-step explanation:
The answer pleaseeee
Step-by-step explanation:
given,
x = 12
y = 4
therefore according to
F. y = 1/3x
→ 4 = 1/3×12 → 1×4 = 4
→ 4 = 4 ✓
G. y = 3x
→ 4 = 3(12) = 36
→ 4 ≠ 36
H. y = 48/x
→ 4 = 48/12
→ 4 = 4 ✓
J. y = x - 8
→ 4 = 12 - 8
→ 4 = 4 ✓
therefore, F , H and J represents this relationship.
hope this answer helps you dear! take care
Super simple, just don't know if I am right or not.
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...?
Answer:
common difference is 3 you take each number from left to rifht and subtract so thr answer is 15
15 ) Kayla has 14.5% of her salary placed into an Individual
Retirement Account. What fraction is this? *
1/2
22/100
2/3
29/200
Answer:
29/200
Step-by-step explanation:
Turn all fractions into percentages by dividing the numerator by the denominator then multiply the quotient by 100 to get it in percent.
1/2 = 50%
22/100 = 22%
2/3 = 66.7%
29/200 = 14.5%
Now that we turned all fractions into percents, we can see that 29/200 is that answer since its percentage is 14.5%.
Plz help I need help
Answer:
1.025
Step-by-step explanation:
divided 6.15 by 6 to get 1.025
increase percent of $25; 300%
a patio is rectangular. Its length is 8.27 meters and it's width is 4.2 meters. what is the approximate perimeter of the patio?
Answer: P≈24.94m
Step-by-step explanation:
P=2(l+w)=2·(8.27+4.2)≈24.94m
Write168 to the nearest hundred
Answer:
200
Step-by-step explanation:
6 is closer to 10 than 0