5.131313.. is a repeating decimal.
Repeating decimals are rational because they have a set pattern and they can be put into a fraction.
Explanation:
Repeating decimals can be written as a fraction, proving that it is rational.
Irrational numbers can’t be put into a fraction. For example, pi or the square root of 2.
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 10 ) ∘ ∠A=(2x−10) ∘ and m ∠ B = ( x − 2 ) ∘ ∠B=(x−2) ∘ , then find the measure of ∠ A ∠A.
Answer:
Angle A = 58 degrees
Angle B = 32 degrees
Step-by-step explanation:
First of all, we will need to know that complementary angles are angles that sum up to 90 degrees.
This means that if we add the values of angle A and angle B, they will both sum up to 90 degrees.
i.e (2x-10) + (x-2) = 90
3x -12 = 90
3x = 102
x = 34 degrees
We can substitute this value of x into the equations for angles A and B
A = (2 X (34) - 10 ) = 58 degrees
B = ( 34 - 2) = 32 degrees
Therefore, angles A and B are 54 and 32 degrees respectively.
Check: We can add the two angles to see if we get 90 degrees. 58 + 32 = 90 degrees. This shows that the two angles are complementary and our answer is correct.
if 18 more than twice a number is -10,what is the number?
Answer:
-14
Step-by-step explanation:
Let the number be x
[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]
3. There are 15 members in student council. Each member must pay a yearly due
of$22.50. During the first month of school 6 members paid their yearly dues. The
remaining members paid their dues in the second moth of school. How much
money was collected in dues during the second month of the school year?
Answer:
202.50 was collected in the second month of school
Step-by-step explanation:
thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50
At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?
Answer:
$5 and $3
Step-by-step explanation:
Cost of banana split = b
Cost of hot fudge sundae = s
b + 2s = 114b + 3s = 29From the first equation we get:
b = 11 - 2sReplacing in the second equation:
4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3Then
b = 11 - 2*3 = 11 - 6 = 5So banana split costs $5 and hot fudge sundae costs $3
Hi, I need help answering 7x+5x+1=73 and I keep getting it wrong. HELP!!
Answer:
x = 6
Step-by-step explanation:
7x+5x+1=73
12x+1=73
12x=72
x= 6
-3 - 3x = -4(2x + 7)
Answer : x=−5
Step-by-step explanation: Step 1: Simplify both sides of the equation.
−3−3x=−4(2x+7)
−3+−3x=(−4)(2x)+(−4)(7)(Distribute)
−3+−3x=−8x+−28
−3x−3=−8x−28
Step 2: Add 8x to both sides.
−3x−3+8x=−8x−28+8x
5x−3=−28
Step 3: Add 3 to both sides.
5x−3+3=−28+3
5x=−25
Step 4: Divide both sides by 5.
5x /5 = −25 /5
x=−5
Answer:
x=−5
please tell me what x is 3(x+6)=48
Answer
X=10
Step by step explanation
48÷3 = 16
16-6 = 10
PLEASE HELP ITS EASY suppose you are converting x kilograms to ounces. will the number of oz be less than or greater than x?
Answer:
greater
Step-by-step explanation:
greater beacause 1 kilo =35.274 ounce
If the measures of the angles in the following triangle were listed in increasing order, which measure would be second? (2x+24) ° (4x+43) ° (x^2+1) °
Answer:
x²+1 is the second
Step-by-step explanation:
2x+24=40°
4x+43=75°
x²+1=65°
(2x+24) + (4x +43) + (x²+1)=180
x²+6x+68=180
x1=-14
x2=8
since there's no negative angle, we'll use x=8
does 3 times 9.99 give me 29.97?
Answer:
Yes it does.
Step-by-step explanation:
Answer:Simple and best practice solution for 9.99 is what percent of 29.97. Check how easy it is, ... 100=3*x - we divide both sides of the equation by (3) to get x 100/3=xno it does not
Step-by-step explanation:
Write -2.32 as a mixed number in simplest form.
Answer:
- 2 8/25
Step-by-step explanation:
Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)
Answer:
-2.32 as a mixed number is -2 32/100 = -2 8/25
This table displays the height of a balloon as it floats away.
A 2-column table with 6 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13, 14, 15. Column 2 is labeled Height (feet) with entries 64, 73.5, 83, 92.5, 102, 111.5.
What is the rate of change for the height as the time increases by 1 minute?
Rate of change =
Answer:
The rate of change is 9.5 ft/min
Step-by-step explanation:
every minute the balloon rises in 9.5 feet increments
Answer:
its 9.5
Step-by-step explanation:
Find the value of x that will make L || M
Answer:
The value of x = 7 to make lines L and M parallel.
what is
-4|5+m|
[tex]m = - 3[/tex]
Steps to solve:
-4|5 + m|
~Substitute
-4|5 - 3|
~Simplify
-4|2|
~Multiply
-8
Best of Luck!
Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20
Answer:
0
Step-by-step explanation:
20 cancels itself out so
-4x = x
-4x - x = 0
-5x = 0
divide both sides by -5x
x= 0 but we don't write it out
For the equation -4x+20 to have infinite solution , it should be equal to
-4x+20 = -4x+20 , so the blank value is -4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be -4x+20 = blank x + 20
Now ,
If the lines are coincident and have the same y-intercept, an endless solution can be generated.
The two lines with the same y-intercept and slope are the same line.
If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.
So , Both the equations should be equal for it to have infinite solutions
Therefore , -4x+20 = -4x+20
Hence , the value of the blank is -4
To learn more about equations click :
https://brainly.com/question/10413253
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The price to mail a letter at the post office is $0.49 for the first ounce
and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter.
How much did the letter weigh?
How can parallel lines be used to compare figure E and F? Explain your reasoning.
give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?
Answer:
0
Step-by-step explanation:
Please help me with this!
Resolved
1. 2(y+4) +4 (2y+2)
Answer:
10y+16
Step-by-step explanation:
Distribute and combine like terms
10 times 1200000000000000
Answer:
1.2e+16
hope it helps :)
What value of x makes the equation true?
147 = 5(1 - 7x) + 2
Answer: X = -4
Step-by-step explanation:
first you need to solve, so do what needs to be done in the equation, which is just multiply and add
147 = 5 - 35x + 2
147= 7 -35x
get rid of the numbers around x, which would be subtracting 7 from both sides
140 = -35x
x = -4
Find the value of each variable (x in this case)
2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.
2x + 4x + 108 = 180
Combine like terms
6x + 108 = 180
Subtract 108 from both sides.
6x = 72
Divide both sides by 6
x = 12
Find the height of triangle whose are is 1500m2 and base 7.5 cm
Answer:
x = 400 m^2
Step-by-step explanation:
[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]
HELP I WILL GIVE BRANLIEST What is the slope of the line in the graph?
Answer:
the solpe is 1x or just x
Step-by-step explanation:
rise over run both are 1
Answer:
[tex]\boxed {\tt m=1}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:
[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]
Substitute the values into the formula.
[tex]m=\frac{5-2}{4-1}[/tex]
Solve the numerator. Subtract 2 from 5.
[tex]m=\frac{3}{4-1}[/tex]
Solve the denominator. Subtract 1 from 4.
[tex]m=\frac{3}{3}[/tex]
Divide 3 by 3.
[tex]m=1[/tex]
The slope of the line is 1.
Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)
Answer:
[tex]MP= (-2,1 )[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]
pleaseeeeeeee help me
Answer:
by my best guess, x = -5 (negative five)
Step-by-step explanation:
hey how do you do this problem
A small toy car costs $3 a large toy car costs 5 times as much as the small one Aaron want to buy 1 of each which equation can be used to find the cost a of the 2 cars
Answer:
$18
Step-by-step explanation:
small -$3
large - $15
3+15=18
Answer: The equation is $3 + ($3 x 5)
Step-by-step explanation:
You add $3 to 3 multiplied by 5 to get the cost of the second car which will then give you the cost of both cars. Then you simplify and get $3 + $15 which gives us the answer $18. So the cost of both the cars is $18.
solve this equation 3/10x-4=40-2x
I Am Pretty Sure The Answer Is x=440/23
Hope This Help's