Answer: -1/2
Step-by-step explanation:
:)
When a rational number is written as a fraction, which statement is always true about the numerator and the denominator of the fraction?
A.
They are both integers.
B.
They are both prime numbers.
C.
They are both natural numbers.
D.
They are both composite numbers.
A number written in the form p/q such that q ≠ 0 will be rational if and only if p and q both are integers so option (A) will be correct.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
Let's suppose a decimal number,
2.256
By removing decimal
2.256 → 2256/1000 here 2256 and 1000 both are integers which means they will be a rational numbers.
Now take another example,
√2 → √2/1 here √2 is not an integer and if we expand √2 then it will be non-repeating and non-terminating so we cannot write in form of p/q.
Hence "A number written in the form p/q such that q ≠ 0 will be rational if and only if p and q both are integers".
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Simplify.
312+18
358
3210
368
334
The sum of 312+18 is 330.
To simplify the sum of 312 + 18, we add the two numbers together:
When three hundred twelve is added with eighteen we get three hundred thirty.
312
+18
________
330
Hence, the value of 312+18 is 330.
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3(5 +6) =
can someone please help?
Answer:
33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
3(11)=33
hope this help
what is the most specific name for a triangle with the following measures? angles: 10, 45, 125 *they are all degrees*
Use an integer strategy to find each answer.
(-4) + (-8) + 11 – (-2)
Answer:
1
Step-by-step explanation:
(-4) + (-8) + 11 - (-2)
~Simplify
-4 - 8 + 11 + 2
~Subtract
-12 + 11 + 2
~Add
-1 + 2
~Add
1
Best of Luck!
no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
Anna invested $28,000 in an account paying an interest rate of 6.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $39,500?
Answer:
It will take 5.3 years to reach $39,500
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out.
Interest in the next compound period is then earned on the principal sum plus the previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We are required to find the time needed to convert the principal P into a given final amount.
Solving the above equation for t, we get:
[tex]\displaystyle t=\frac{log(A/P)}{n\cdot log\left(1+r/n\right)}[/tex]
Anne invested P=$28,000 in an account at r=6.5%=0.065 compounded daily. There are 360 days in a year, so n=360. The final amount A=$39,500.
Substituting into the formula:
[tex]\displaystyle t=\frac{log(39,500/28,000)}{360\cdot log\left(1+0.065/360\right)}[/tex]
t=5.3 years
It will take 5.3 years to reach $39,500
Answer:5.3
Step-by-step explanation:
5 and (-5) are a zero pair.
True
or
False
Answer:
true!
Step-by-step explanation:
If △EFG ≅ △HJK, complete each part.
Answer:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH
Step-by-step explanation:
Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.
Thus:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)
△EFG ≅ △HJK,
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
Given that
△EFG ≅ △HJK,
Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.
Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are equal to the corresponding angles of other triangle and all the sides of one triangle are equal to corresponding sides of other triangle.
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
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what does x equal?
Answer:
16 = x
Step-by-step explanation:
Since angle B and E are congruent to each other (because triangle ABC is congruent to triangle DEC), We can set up an equation to find x.
x + 15 = 6x - 65
Add 65 and subtract x to and from both sides.
80 = 5x
Divide by x.
16 = x.
PLEASE HELP I WILL GIVE BRAINLIEST IF 2 PEOPLE ANSWER! Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify Your Answer.
x = 15 inches.
The area of the square is __ square inches.
Answer:
The area of the square is 15²
the area of a square and the length of its side are directly proportional because The area of the square is x²=> when its edge decreases, the area of the figure decreases
Step-by-step explanation:
Traveling with a speed of 70 mph, a car covered a distance D miles in T hours. Write an equation that relates the distance D this car travels in T hours. Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m.
What is the formula
Answer:
r = d/t
Step-by-step explanation:
FORMULA: D=T*70 or D= 70T
Answer 105 miles
Solve the equation using the square root property.
will
X2 - 8x + 16 = 4
Plz I need help
Answer: 4
Step-by-step explanation: make me
Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.
Simplify this expression.
20.25 − 912 + 11
Answer:
20.25-923
Step-by-step explanation:
20.25-923
912+11=923
Nate has 5 green marbles and 3 red marbles. Select the ratios that compares the number of red marbles to the total number of marbles. Mark all that apply.
3 to 8
5 to 8
3:8
5:3
5/8
3/8
Answer:
5 to 8 & 5/8
Step-by-step explanation:
What is the y-intercept of the function f(x) = -2/9x + 1/3?
Answer:
The y intercept would be (0, 1/3)
The number at the end is always the y value. In a y intercept x is always 0.
plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)
Answer:
2/3
Step-by-step explanation:
3-1/5-2=
2/3
anyone know this ? for math , thank you
Answer: The y=2
Step-by-step explanation:
plz help
Solve the system by Substitution
y=2x+15
7x+2y=−14
A(-6, 3)
B(4, -7)
C(6, -7)
D(-4, 7)
Answer
D
Step-by-step explanation:
y=2x+15
7=2(-4)+15
7=15-8
7=7
7x+2y=-14
7(-4)+2(7)=-14
-28+14=-14
-14=-14
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities
We want to imagine where the shading should be, and with that determine which point is a solution for both inequalities. We will see that the solution is the point (7, -8)
Interpreting inequalities:
In this case, the inqualities are:
y < -x + 1y < (-1/2)*x - 1You can see that in both cases, y is smaller than the line, thus, for both inequalities, we must shade the part that is below the lines.
With that in mind, the region of solution will be the region that is below both lines at the same time, and that region will be the "triangle" that you can see at the middle below the horizontal axis.
Now that we know the region of solutions, we only need to see which point belongs there, from the given options the only that belongs to that region is the point (7, -8), which means that this point is a solution for both inequalities.
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Eight poles are 30m apart. What is the distance in meters from the first to the last pole?
Use the table and graph that relates dog ages to human ages to
following question.
question: would there ever be one year assigned to two different quantities? explain.
please help ill mark brainlest and like and rate your answer.
Answer:
No
Step-by-step explanation:
i need help with problem 16
Answer:
she decorated two cookies per minute
Step-by-step explanation:
72 cookies divided by 36 minutes
A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
The value of A is ____?
The value of B is____?
Answer:
The Value of "A" is 10.0 Inches
The Value of "B" is 35 Inches
Step-by-step explanation:
Got it right on
E D G E N U I T Y 2021
The value of A is 10.
The value of B is 35.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
Hence, We can formulate;
The value of A = 1.25 × 8
= 10
And, The value of B is,
⇒ 1.25 × 28
⇒ 35
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Evaluate if a = 28 and b = -3
Answer:
The answer is 4
Step-by-step explanation:
hope this helps
Answer:
4
Step-by-step explanation:
Replace a with 28 and b with -3
-8x + 2c = -3, for x
Answer:
x=3/8+c/4
Step-by-step explanation:
2.16 x 10 to the 4th power
Answer:
21.600 :)
Step-by-step explanation:
Round 3/18 to the nearest half
Explanation: 1 / 2 = 9 / 18 Halfway that and 0 would be 4.5 / 18 Since 3 / 18 is below that, we would round to 0
Fine the values of x and y
Answer:
x=5 and y=1
Step-by-step explanation: