Step-by-step explanation:
the three rational numbers equivalent to each of the following rational number:-
i) -2/5=-4/10,-6/15 and -8/20.
ii) 3/7=6/14,9/21_and 13/28
What is the area of triangle ABC
Answer:
A = 24 cm²
Step-by-step explanation:
The area (A) of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × AB × AC
Calculate AC using Pythagoras' identity
AC² + AB² = BC²
AC² + 6² = 10²
AC² + 36 = 100 ( subtract 36 from both sides )
AC² = 64 ( take the square root of both sides )
AC = [tex]\sqrt{64}[/tex] = 8
Then
A = 0.5 × 6 × 8 = 24 cm²
Two heads 35 Two tails 23 One head, One tail 52 What is the theoretical probability that a coin toss results in two heads showing?
Answer:
[tex]Pr = 0.25[/tex]
Step-by-step explanation:
Given
Two heads ---> 35
Two tails ---> 23
One head, One tail ---> 52
Required
The theoretical probability of 2 heads
When a coin is tossed, the probabilities are:
[tex]P(Head) = 0.5[/tex]
[tex]P(Tail) = 0.5[/tex]
So, the theoretical probability of 2 heads is:
[tex]Pr = P(Head) * P(Head)[/tex]
[tex]Pr = 0.5 *0.5[/tex]
[tex]Pr = 0.25[/tex]
Notice that the given parameters were not used. Using them will only give us the result of the experimental probabilities, because they are recorded from an experiment
A 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3
Answer:
7/12 or 58%
Step-by-step explanation:
Answer:
17/100
Step-by-step explanation:
Craig collects stamps he collected a total of 150 stamps if 88% of the stamps be collected were foreign how many stamps did he collect
Answer:
18 Non Foreign Stamps
Step-by-step explanation:
Given data
Total stamps= 150
Foreign Stamps= 88% of the total stamps
Hence the number of foreign stamps is
=88/100*150
=0.88*150
=132 Foreign Stamps
The number of stamps that is Non Foreign Stamps is
=150-132
=18 Non Foreign Stamps
Together they ran a total of 30 laps. Runner B ran 6 more than twice as many laps as Runner A. Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A. Part B: How many laps did Runner A run? Part C: How many laps did Runner B run?
Answer:
Step-by-step explanation:
Number of laps run by Runner A = x
Number of laps run by Runner B = y
Runner B ran 6 more than twice as many laps as Runner A.
b = 6 + 2a
Together they ran a total of 30 laps.
a + b = 30
Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.
Part B: How many laps did Runner A run?
a + b = 30
b = 6 + 2a
Hence:
a + 6 + 2a = 30
3a = 30 - 6
3a = 27
a = 27/3
a = 9 laps
Part C: How many laps did Runner B run?
a + b = 30
b = 30 -9
b = 21 laps
Estimate the quotient.6.2 ÷ 8
Answer:
0.775
Step-by-step explanation:
is 5he answer
Step by step
If you had a right triangle with legs measuring 40 yards and 100 yards long,
what would be the length of the hypotenuse? Round your answer to the
nearest yard if necessary. *
70 yd
92 yd
108 yd
146 yd
9514 1404 393
Answer:
(c) 108 yd
Step-by-step explanation:
For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...
c² = a² +b²
Solving for c, we have ...
c = √(a² +b²)
c = √(40² +100²) = √(1600 +10000) = √11600
c ≈ 107.70 . . . . yards
The length of the hypotenuse is about 108 yards.
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
Solve the triangle in the figure.
Question options:
A)
BC = 9; m∠A = 53.1°; m∠B = 6.9°; m∠C = 90°
B)
BC = 11; m∠A = 42.8°; m∠B = 47.2°; m∠C = 90°
C)
BC = 19; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Answer:
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Step-by-step explanation:
15²-12² = 9²
BC = 9
sin B = 12/15 = 0.8
∠B = 53.1°
The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:
H² = P² + B²
The length BC will be calculated as below:-
15²-12² = 9²
BC = 9
The angle B will be calculated as below:-
sin B = 12/15 = 0.8
∠B = 53.1°
Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
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Find the volume of the pentagonal base is 33.5 cm2 and the height of the prism is 15 cm. Do not include units in your answer.
Answer:
[tex]V=502.5\ cm^3[/tex]
Step-by-step explanation:
The area of the pentagonal base, A = 33.5 cm²
The height of the prsim,h = 15 cm
We need to find the volume of the pentagonal base prism. The formula for the volume of the pentagonal base prism is given by :
[tex]V=A\times h\\\\V=33.5\times 15\\\\V=502.5\ cm^3[/tex]
So, the required volume is [tex]502.5\ cm^3[/tex].
If I have a meal that cost 6.14 and I have $8 how much change do I get
Answer:
8-6.14= 1.86
That's what you get
Answer:
you would get $1.86 back
The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it
Answer:
100. ~113
x ~ 5763(assume that X is price without VAT)
100×5763=113×x
X. =(5763×100)/113. (5763/113=51)
X= 51×100
X =5100
VAT=5763-5100
=RS.663
Given:
Interest rate,
13%Object price,
5763The value added tax will be:
→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]
→ [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]
[tex]= 663[/tex]
Thus the approach above is right.
Learn more about tax amount here:
https://brainly.com/question/22910752
Please help Magan recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Based on these results, express the probability that a seventh grader chosen at
random will play the guitar as a fraction in simplest form?
Answer:
[tex]Probability = \frac{11}{40}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:
[tex]7th\ graders =11+8+8+13[/tex]
[tex]7th\ graders =40[/tex]
7th graders that can play guitars are:
[tex]Guitars = 11[/tex]
So, the probability is:
[tex]Probability = \frac{Guitars}{7th\ graders}[/tex]
[tex]Probability = \frac{11}{40}[/tex]
Which statement about the value of a credit report to lenders and borrowers is NOT true?
aCredit reports tell borrowers their likelihood of getting a loan, and their likelihood of getting a good rate.
bCredit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.
cCredit reports tell lenders the risk that a borrower will not repay a loan.
dCredit reports tell borrowers and lenders about the borrower’s past performance on loans.
Answer:
Credit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.
Step-by-step explanation:
The answer is right
If g(x)=−5x2−11 and f(x)=10x+5, find (f⋅g)(x).
Answer: -50x^3 - 25x^2 - 110x - 55
Step-by-step explanation: brainliets if its right
find the slope and y-intercepts of the line below & write the equation of the line.
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.
Use the table to identify the values of p and q that should be used to factor x2
+9x-10 as (x+ p)(x+ q).
A. -2 and 5
B. 2 and=5
C. -1 and 10
D. 1 and 10
Answer:
-1 and 10
Step-by-step explanation:
I just took the quiz
identifica los factores en los siguientes productos de polinomios.
a)5x (x-1)
b) (-2x)(x+10)
c) (x+y)(5x-y)
d) x(x-5)(2x+3)
e)2x(3x+4)(y+1)
f) -y (2y+9)(10-11y)
ayudaaa porfa necesito las respuestas
Answer:
a)5xx-5x=5x²-5x
b)-2x(x+10)
c)5x²+4xy-y²
d)2x³-7x²-15x
e)6x²y+6x²+8xy+8x
f)79y²+22y³-90y
-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation:
Select all values that would make the following inequality true: x ≥ -10
-10
-14
-2
0
Answer: -10; -2; 0
Step-by-step explanation:
≥ means greater or equal than.
-10 is equal -10, true.
-14 is less than -10, so false.
-2 is greater than -10, true
0 is greater than -10, true
so the answer is -10, -2 and 0 can make this inequality true.
Use the figure to determine the measure of angle 1 if angle 5 is 60 degrees.
Answer:
the figure is missing. please provide the figure.
I need help with this math problem ASAP plsssss helppp. The problem is attached below
Answer:
234.67 in³
Step-by-step explanation:
volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³
volume of half sphere = 523.33/2 = 261.67 in³
volume of cube = LWH = 3³ = 27 in³
261.67 - 27 = 234.67 in³
Given that p =5, q = 2, r=4
What is the value of 7r
Answer:
28
Step-by-step explanation:
if r=4 that means that 7r= 7×r is 28
If the circumference of a circle is 12.56 ft, what is the length of the radius? Use 3.14 for π.
A. 6.28 in.
B. 4.03 in.
C. 4 in.
D. 2 in.
Answer:
D - 2in
Step-by-step explanation:
y=3/4ax+3, m=9/16
what does a equal? please explain.
2 percent of what number equals 1?
Answer:
50
Step-by-step explanation:
2/100 of X=1
Multiply both sides by 100 to remove the hundred base
The resultant will be 2x=100
X= 50
Consider this expression. x-4/2(x+4)
Answer:
Option A
Step-by-step explanation:
We will simplify the expressions given in the options first,
x² - 16 = (x - 4)(x + 4)
2x + 8 = 2(x + 4)
x² + 8x + 16 = (x + 4)²
Option A
[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]
= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]
= [tex]\frac{x-4}{2(x+4)}[/tex]
Option B
[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]
= [tex]\frac{2}{x^2-16}[/tex]
Option C
[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]
= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{(x-4)(x+4)}{2}[/tex]
Option D
[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2(x+4)}{(x-4)}[/tex]
Therefore, Option A is the answer.
Help me with this!! Will mark Brainliest!!!
Answer:NO!!
Step-by-step explanation:
RS distance of 2 while TU distance of 1
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
Someone plz help me giving brainliest
Answer:
1. Why can't he understand that we don't have no more to give to him.
2. The sitter had to sing Im a Little Teapot before Suzie would go to bed.
3. Meddlesome is interfering.
4. Heading
5.Takes