19 = 5x - 1
Solve for x.
Note the equal sign. What you do to one side, you do to the other. Isolate the x. Do the opposite of PEMDAS.
=> Addition Property of Equality.
Add 1 to both sides
19 = 5x - 1
19 (+1) = 5x - 1 (+1)
=> Combine like terms
Add 19 and 1
19 + 1 = 5x
20 = 5x
=> Division property of equality
Divide 5 from both sides
(20)/5 = (5x)/5
x = 20/5
x = 4
----------------------------------------------------------------------------------------------------------------------------
hope this helps
~Rise Above the Ordinary
which ordered pair is a solution of the equation 7x−5=4y−6?
PLEASE HURRY THIS IS DUE NOW
A. only (2,4)
B. only (3,6)
C. both A and B
D. neither A or B
Answer:
D.) Neither A or B
Step-by-step explanation:
A.) Substituting X=2 and y=4 results to 9=10 which is a false statement
B.) Substituting X=3 and y=6 results to 16=18 Which is a false statement
C.) Look at A and B they lead to a false statement so It can't be both
The answer of the ordered pair is a solution of the equation 7x−5=4y−6 would be option D. neither A or B.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given equation;
7x - 5 = 4y -6 ...…...... (1)
Substitute x = 2 and y = 4 in equation (1)
7(2) -5 = 4(4) -6
9 ≠ 10
a) (2,4) is not satisfied
Now, Substitute x = 3 and y= 6 in equation (1)
7(3) -5 = 4(6) -6
16 ≠ 18
b) Thus, (3,6) is not satisfied
c) both A and B is also not satisfied
Hence, the answer would be option D. neither A or B.
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(01.07, 02.01 MC) Brian solved the following equation: 6(3x – 5) = 4(4x + 2) Step Work Justification 1 18x – 30 = 16x + 8 2 2x – 30 = 8 3 2x = 38 4 x = 19 Which of the following has all correct justifications Brian used to solve this equation? 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative inverse. 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative property of equality.
6(3x - 5) = 4(4x + 2) Given
(6)(3x) + (6)(-5) = (4)(4x) + (4)(2) Distributive property
18x - 30 = 16x + 8
18x - 16x - 30 = 16x - 16x + 8 Subtraction property of equality
2x - 30 = 8
2x - 30 + 30 = 8 + 30 Addition property of equality
2x = 38
2x : 2 = 38 : 2 Division property of equality
x = 19
Rectangle Q has an area of two square units. Thea drew a scaled version of rectangle Q and labeled it rectangle R. what scale factor did Thea use to go from rectangle Q to rectangle R?
Answer:
6
Step-by-step explanation:
The area of a polygon created with a scale factor of xxx is x^2x
2
x, start superscript, 2, end superscript times larger than the original polygon:
\text{scale factor}^2=\text{how many times larger area of scale copy is}scale factor
2
=how many times larger area of scale copy iss, c, a, l, e, space, f, a, c, t, o, r, start superscript, 2, end superscript, equals, h, o, w, space, m, a, n, y, space, t, i, m, e, s, space, l, a, r, g, e, r, space, a, r, e, a, space, o, f, space, s, c, a, l, e, space, c, o, p, y, space, i, s
The area of Rectangle RRR is 363636 times greater than the area of Rectangle QQQ. Let's substitute 363636 into the equation to find the scale factor.
?^2=36?
2
=36question mark, start superscript, 2, end superscript, equals, 36
The scale factor is 666.
Hint #33 / 3
Thea used a scale factor of 666 to go from Rectangle QQQ to Rectangle RRR.
Answer:
6
Step-by-step explanation:
The area of a polygon created with a scale factor of xxx is x^2x
2
x, start superscript, 2, end superscript times larger than the original polygon:
\text{scale factor}^2=\text{how many times larger area of scale copy is}scale factor
2
The area of Rectangle RRR is 363636 times greater than the area of Rectangle QQQ. Let's substitute 363636 into the equation to find the scale factor.
?^2=36?
2
=36question mark, start superscript, 2, end superscript, equals, 36
The scale factor is 666.
Hint #33 / 3
Thea used a scale factor of 6 to go from Rectangle Q to Rectangle R.
98÷5194
please help me out
Suppose an average book in the library is 0.02 meter thick . How many meters of shelf space are needed for all 14,650 books ?
The answer is 293 meters because you multiply the 14650 books by how thick they are which is 0.02, and that should reveal your answer. Hope this helps!
The graph of a linear function is shown which word describes the slope of the line
A slope is also known as the gradient of a line. The slope of the line is positive and is equal to 0.2.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
Since the line is passing through the origin and (5,1). The slope of the line is,
m = (1-0)/(5-0) = 1/5 = 0.2
Hence, the slope of the line is positive and is equal to 0.2.
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Subtract.
3/8−(−5 1/4)
Enter your answer, as a mixed number in simplest form.
P.S -5 1/4 is a mixed number)
Multiplying numerators and denominators to get the LCD in all fraction denominators
= 38−21×24×2
Then rewriting the equation with the equivalent fractions
= 38−428
With like denominators we can operate on just the numerators
= 3−4 2/8
=−39/ 8
Simplifying the answer
= − 39/8
= − 39/8
= − 4 7/8
h= 1/2 gt2 Take a look at the figure. The distance h a body will move in free fall is expressed by the formula shown. If g = 980 centimeters per second2 and t = 20 seconds, what is the distance? A. 9,800 centimeters B. 368,000 centimeters C. 49,000 centimeters D. 196,000 centimeters
An employee was hired at a wage of $8 per hour. After a raise, the employee earned $8.75 per hour. What was the percent increase?
I believe 0.75/ 8=0.09375 so 0.09375 is the answer i hope i helped
The percent increase to earned money will be 9.375%.
What is Percentage?
A relative value indicating hundredth part of any quantity is called percentage.
Given that;
An employee was hired at a wage of $8 per hour.
After a raise, the employee earned $8.75 per hour.
Now, The increase percent will be calculate as;
Increase percent in money = Increase money/Actual money x 100
= (8.75 - 8.00) / 8 x 100
= (0.75/8) x 100
= 75/8
= 9.375
Thus, The percent increase to earned money will be 9.375%.
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BRAINLIEST ANSWER TO FIRST COMMENT
Which of the following are remote interior angles of 6? check all that apply
Can you please tell me the answers to all of these
be smart be funny be kind smell good watch tv do homework
A soda can has a diameter of 6 cm. What is the circumference of the can? (C = πD) A) 1.19 cm B) 9.14 cm C) 18.84 cm D) 28.26 cm
Solution :
Given a soda can has a diameter of 6 cm.
As we know, the circumference of circle with radius r is , [tex]C=2\pi r[/tex].
And diameter of the circle [tex]D = 2r[/tex]
So, the circumference of the circle with diameter D is , [tex]C=\pi D[/tex]
Put D= 6
[tex]\Rightarrow C=6 \pi\\\\Using\: \pi=3.14\\\Rightarrow C=6\times3.14\\\\\Rightarrow C=18.84[/tex]
Hence, the circumference of the can is 18.84 cm. (option C)
The Jones family traveled 314 miles each day until they reached their destination, which is 1,256 miles away from their starting point. How many days did they drive until they arrived at their destination?
Jose purchased 5.5 feet of rope to hang a planter on the back porch the planter required a set of 3 ropes measuring 18 inches each after Jose cuts the rope and hangs the planter how much rope will he have left?
Gabi finds a skirt that she likes at the store for $45.99. If the tax rate is 5.8%, how much will the skirt cost in all?
Here we have a problem with tax rates and percentages, we will find that the total price will be $48.66.
How to find the price with tax?So we know that the price of the skirt is $45.99, this is our 100%.
So, when we know that a tax of 5.8% is applied, is over that 100%, meaning that the total price will be 105.8% of the original price.
Then we can write the equations.
105.8% = x
100% = $45.99
Taking the quotient of these two equations and solving for x we get:
(105.8%/100%)*$45.99 = x = $48.66
So the total price of the skirt is $48.66.
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HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP!!!!
2. ⦁ Justify each step in solving the equation by writing a reason for each statement.
3. ⦁ Provide reasons for the proof.
PLEASE ANSWER CORRECTLY, THE PICTURES ARE BELOW
Answer:
1. QS bisects ∠ PQR of Δ PQR.⇒[Given]
2. ∠PQS = 90° [Given]
3.∠PQS =∠RQS ⇒[QS bisects ∠ PQR]
4. .∠PQS +∠RQS =90° [∴∠PQS = 90°⇒given]
2∠PQS =90°⇒ [∠PQS =∠RQS ]
∠PQS=45°
So,∠PQS =∠RQS =45°
2.∠ 2= ∠ 4 [Given]
⇒∠ 2≅ ∠ 4[ congruency postulate]
∠2 and ∠ 3 are supplementary.⇒°[given]
⇒∠2 + ∠ 3=180° [ By the definition of supplementary].........(1)
∠1 and ∠4 are supplementary.⇒[∠1 and ∠4 form linear pair.]
⇒∠1 +∠4=180°[By the definition of supplementary]..............(2)
⇒∠2 + ∠ 3 =∠1 +∠4 [both of them are equal to 180, so they are equal to each other.⇒ Two things equal to same thing are equal to each other[Euclid postulate]]
⇒∠4 +∠3=∠1+∠4 [∠2=∠4⇒(given)]
⇒∠3=∠1 [law of cancellation]
⇒∠3≅∠1 [ Congruency property]
Graph 3.75 on a number line
A city bus company sold 36 one-way tickets and 20 round-trip tickets from West Elmwood to East Elmwood. One-way tickets cost $14. Round trip tickets cost $29. How much money did the bus company collect?
$504 + $580= $1084 is how much the bus company got in all.
Answer:
$1,084
Step-by-step explanation:
Multiply 36 by $14 and you get 504.
Then multiply 20 by $29 an you will get 580.
In order to figure out how much money they collected in total, you should add your two answers together, which will then be 1,084. The bus company collected $1,084
The sum of two consecutive intergers is no more than 209 . Whatbis the large of two integers
104 and 105 are consecutive numbers that add up to 209. Maybe this answers your question? Let me know otherwise.
Which is a benefit of investing? A. not having to work to earn money B. living comfortably after you retire C. spending lavishly now and living off investments later
I would say the answer would be B. or C.
not sure which but i hope i helped narrow it down..
Answer:
Its B
Step-by-step explanation:
I need help with this
Jonathan is 5 years older than his brother Chase.
Chase's Age = c
Jonathan's Age = c+5
Three times Jonathan's age would be 3(c+5).
The sum of Chase's age, c, and three times Jonathan's age, 3(c+5), is 55.
c+3(c+5)=55
The answer is B.
If f(x)=7x+4 and g(x)=1/2, what is the value of (f/g)(5)?
HURRYYYYY PLEASEEE
(7(5)+4)/(1/2)=39/.5=78
researchers asked 250 families whether or not they were homeowners and how many cars they had. 20 were homeowners with no car or one car. 90 with two or more cars. 50 not homeowner with no car or one car. 90 with two or more cars
can you give more detail
help please:
two numbers sum to 65 twice the first subtracted from the second is 5 find the numbers
a+b = 65
b - 2a = 5
Solve one variable in terms of another:
b = 5 + 2a
Substitute in this variable:
a + 5 + 2a = 65
3a = 70
a = 23.3
Use this to find the other variable:
23.3 + b = 65
b = 41.7
Check the answer:
23.3 + 41.7 = 65
65 = 65
ANSWERS:
a = 23.3
b = 41.7
Mr tan invested 5000 Swiss francs(CHf) bank A at a nominal annual interest rate of r% compounded monthly, for four years. The total interest he received was 1866 CHF.
A) calculate value of r
Mr black invested 5000 CHF in a Bank at a nominal annual interest rate of 3.6% compounded quarterly for four years
B)calculate the total interest he received at the end of the four years give your answer two decimal places.
Given : Invested amount = $5000.
Rate of interet = r% compunded monthly.
Number of years = 4 years.
Total interest received = $1866.
Therefore, total amount after 4 years = 5000+1866 = $6866.
We know, formula for compound interest :
[tex]A=P(1+\frac{r}{n})^{t\times n}[/tex], where P is the invested amount, n is the number of monthly installments in an year.
Number of months in an year are 12.
Plugging n=12, P=5000, t=4 in the formula now, we get
[tex]6866=5000{(1+\frac{r}{12})^{12\times 4}[/tex]
[tex]6866=5000{(1+\frac{r}{12})^{48}[/tex]
Dividing both sides by 5000, we get
[tex]\frac{6866}{5000} =\frac{5000}{5000} {(1+\frac{r}{12})^{48}[/tex]
[tex]\frac{6866}{5000} = {(1+\frac{r}{12})^{48}[/tex]
[tex]1.3732= {(1+\frac{r}{12})^{48}[/tex]
Taking 48th root on both sides, we get
[tex]\sqrt[48]{1.3732} = \sqrt[48]{(1+\frac{r}{12})^{48}}[/tex]
[tex]\sqrt[48]{1.3732}=\left(1+\frac{r}{12}\right)[/tex]
[tex]1.00662903758=1+\frac{r}{12}[/tex]
Subtracting 1 from both sides, we get
0.00662903758 = [tex]\frac{r}{12}[/tex]
Multiplying by 12 on both sides, we get
r=0.07954845101
r≈0.0795
Or 7.95%.
A) The value of r is 7.95% compounded monthly.Now, we need to find the interest after four years if the rate of interest is 3.6% compounded quarterly.
There are 4 quarters in an year.
So, n=4 and r=3.6%= 0.036.
Plugging values in compound interest formula now, we get
[tex]A=5000{(1+\frac{0.036}{4})^{4\times 4}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{0.036}{4}=0.009[/tex]
[tex]A=5000\times \:1.009^{16}[/tex]
[tex]A=5000\times \:1.15414\dots[/tex]
[tex]=5770.70222\dots[/tex]
A≈5770.70
Subtracting 5770.70 -5000.00 = 770.70.
B) Therefore, the total interest he received at the end of the four years upto two decimal places is $770.70.(A)
We are given
Mr tan invested 5000 Swiss francs(CHf) bank
so,
[tex]P=5000[/tex]
nominal annual interest rate of r% compounded monthly
so, n=12
t=4
total interest he received was 1866 CHF
I=1866
we can use formula
[tex]I=P(1+\frac{r}{n} )^{nt}-P[/tex]
now, we can plug values
[tex]1866=5000(1+\frac{r}{12} )^{12*4}-5000[/tex]
now, we can solve for r
[tex]r=0.0795[/tex]
so, interest rate is 7.95%..........Answer
(B)
we are given
P=5000
r=0.036
n=4
t=4
so, we can use interest formula
[tex]I=P(1+\frac{r}{n} )^{nt}-P[/tex]
now, we can plug values
[tex]I=5000(1+\frac{0.036}{4} )^{4*4}-5000[/tex]
now, we can simplify it
and we get
[tex]I=770.702[/tex]
The total interest is 771 CHF...........Answer
simplify by combining like terms 8x^2+7xy+5y^2+8x^2-xy+y^2
By combining the like terms; the simplified answer in the correct way is 16x^2+6xy+6y^2
How to get answer:
- Find how many terms are in the algebraic equation. Counting I got 6 terms.
There are 2 xy's and 2 x's and 2y's
- Next combine all like terms
[tex]8x^{2} + 8x^{2} = 16x^{2}[/tex]
7xy+-xy=6xy
[tex]5y^{2} + y^{2}[/tex]=[tex]6y^{2}[/tex]
- Next Simplify
[tex]16x^{2}+6xy+6y^{2}[/tex]
During one winter snow storm in Denver Colorado Jesse noted that 16 inches of snow fell in 5 1/3 hours what was the rate of snowfall in one hour
Answer:
3 inches/hour
Step-by-step explanation:
During one winter snow storm in Denver Colorado Jesse noted that 16 inches of snow fell in [tex]5\frac{1}{3}[/tex] hours = [tex]\frac{16}{3}[/tex] hours
the snow fell in [tex]\frac{16}{3}[/tex] hours = 16 inches
snow fell in 1 hour = [tex]\frac{16}{\frac{16}{3}}[/tex]
= [tex]\frac{16\times 3}{16}[/tex]
= [tex]\frac{48}{16}[/tex]
= 3 inches
The rate of snowfall would be 3 inches/hour.
A line passes through the points (6, 10) and (4, -2).
(a) Find the slope of the line. Show all your work.
(b) Write the equation of the line in point-slope form. Show all your work
(c) Write the equation of the line in slope-intercept form. Show all your work
For this case we have:
Part A:
Point 1: [tex](x1, y1) = (6,10)\\[/tex]
Point 2:[tex](x2, y2) = (4, -2)\\[/tex]
We know that the slope m is given by:
[tex]m = \frac{(y2-y1)}{(x2-x1)}\\\\m = \frac{(- 2-10)}{(4-6)}\\\\m = \frac{(- 12)}{(- 2)}\\[/tex]
[tex]m = 6\\[/tex]
The slope is [tex]m = 6\\[/tex]
Part b:
The equation of the line in point-slope form is given by:
[tex](y-y1) = m (x-x1)\\[/tex]
Substituting the point 1 [tex](x1, y1) = (6,10)[/tex]we have:
[tex](y-10) = 6 (x-6)\\[/tex]
Thus, the point-slope equation is: [tex](y-10) = 6 (x-6)\\[/tex]
Part c:
The equation of the line in slope-intersection form is given by:
[tex]y = mx + b\\[/tex]
Rewriting the equation of part b we have:
[tex]y = 6 (x-6) +10\\\\y = 6x-36 + 10\\\\y = 6x-26\\[/tex]
Thus, the equation of the line in slope-intersection form is
[tex]y = 6x-26\\[/tex]
Answer:
[tex]m = 6\\\\(y-10) = 6 (x-6)\\\\y = 6x-26[/tex]
if there is 1/2 of a pizza and Jonas wants only 1/3 of it, how much of the pizza will he eat?
1/5
2/5
1/6
2/6
plz help asap!!!
i think that it is 1/6
Answer:
But why is it 1/6? Why don't you divide?
Step-by-step explanation:
What is the domain range and zeros of the graph ?
The domain is how far the graph stretches horizontally (on the x-axis).
Domain: ( -∞ , ∞ ) or -∞ < x < ∞
The range is how long the graph stretched vertically (on the y-axis).
Range: ( -∞ , 2 ] or -∞ < y ≤ 2
The zeros are where the graph intersects with the x-axis. In other words, the x-values when y=0.
Zeros: x = -1 and x = 3