Answer:
Radius, r = 26.57 cm and diameter = 53.14 cm
Step-by-step explanation:
Given that,
The circumference of a coin, C = 167 cm
We need to find the radius and the diameter of the coin.
The formula for the circumference of a circle is given by :
[tex]C=2\pi r[/tex]
Where
r is radius of coin
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{167}{2\pi}\\\\r=26.57\ cm[/tex]
Diameter, d = 2r
d = 2(26.57) cm
= 53.14 cm
Hence, this is the required solution.
Pls help I need a good grade
Answer:
y=4/7x
Step-by-step explanation:
Graph the point (4,7) and (0,0) because x is pint and y is servings
The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.
mZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
K
L
M
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: Isosceles trapezoid is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
• 6 mystery books
5 science books
• 4 history books
3 adventure books
.
Robero will randomly choose 1 book to read. What is the probability that he will
choose an adventure book?
Answer:
Step-by-step explanation:
How many books are there?
6+5+4+3 = 18 books total
How many are adventure books?
3
3 out of 18 books are adventure books
Robero has a 3/18 probability of choosing an adventure book.
Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.
You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).
3/3 = 1
18/3 = 6
So the fraction can be reduced to 1/6.
Robero has a 1/6 chance of choosing an adventure book.
7. A bag of M&Ms dumped on the table and you court 91 blue pieces Approximately how many
M&ms do you expect to be in the entire bag based on the proportions of the entire class?
Answer:
i would think that there would be at least 100 m&m in the bag
Step-by-step explanation:
i might be wrong a hven't had m&m in about 10 years
QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5
Answer:
The answer is x = 20
Step-by-step explanation:
If you set both equations equal to each other and solve for x, you will get 20.
3x+32 = 5x-8 add 8 to both sides
3x+40 = 5x subtract 3x from both sides
40 = 2x divide by 2 on both sides
20 = x
Write the equation of the line graphed below.
Answer:
a
Step-by-step explanation:
Compounding - Solve for Time
Jan 21, 2:12:46 PM
Joseph invested $89,000 in an account paying an interest rate of 6.6% compounded
quarterly. 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 $237,600?
Answer:
t=15
Step-by-step explanation:
stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
Order the following from LEAST to GREATEST 21% , 3/20 , 25.6% , 2.24 , 0.24
Answer:
Step-by-step explanation:
3/20 21% 0.24 25.6% 2.24
9x81 simplfy in distributive proper
Answer:
the answer is 729.........
What is the equation
What do x=
Answer:
Step-by-step explanation:
9x=16
x = 16/9
Helppppppppp plzzzzz
Answer:
1) 25, 2) 6
Step-by-step explanation:
WORTH 20 POINTS PLS HELP!!!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part B: There is a positive and negative x intercept for this function. What is the positive x-intercept?
Explain what this x-intercept represents in the given situation.
h(x)=-16x2+64x+80
Here the positive intercept should be considered as the -1 and 5.
Calculation of the positive intercept:Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.
In this case it would be 0 feet.
So,
[tex]h(x)= -16x^2-16x+80x+80[/tex]
h(x)= -x(16x-16) +5(16x+16)
h(x)= (-x+5)(16x+16)
x intercepts = -1 and 5
Learn more about intercept here: https://brainly.com/question/15546484
The ordered pair (3,9) is a solution to the system of
equations below because the values make both
equations true.
2x + 3 = y
2x + y = 15
Is (2,7) also a solution to this system of equations?
Yes
No
Explain your thinking.
Answer:
(2,7) is not a solution to the given system of equations.
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
Randi estimates the sum of 6.8 x 5.2 as 11. Is this a reasonable estimate? Why?
it isnt reasonable estimate. 6.8 is about 7 and 5.2 is about 5, and 7+5=12, not 11
An automobile manufacturer claims that its van has a 59.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 59.5. Assume the variance is known to be 2.89. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
Test statistic Z = 1.8099
Step-by-step explanation:
Step(i):-
Given that mean of the Population (μ) = 59.1 miles/gallon
Mean of the sample (x⁻ ) = 59.5
The standard deviation of the Population = 2.89
mean of the sample (n) = 160
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]
Z = 1.8099
Test statistic = 1.8099
the table shows the results when the polynomial p(x) is evaluated at x=a for different values of a.
Which mist be a factor of p(x)
x - 4
x + 7
x - 10
x + 12
Answer:
The answer is x-10
Step-by-step explanation:
Just did it
1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12
Answer:
33
Step-by-step explanation:
3(3) + 2 (2(3)+6)
=9 + 2 (12)
=9 + 24
=33
A DVD player is regularly priced at 79.95 and is on sale for 30% off. What is the discount?
Answer:
$2.40 or $77.55
Step-by-step explanation:
I don't know if you are asking for how much off or what, so I'm doing both
First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:
79.95 x 0.03 = 2.40
So 30% of 79.95 is $2.40
To find how much our new price sale is, we have to take that $2.40 off so our equation is:
79.95 - 2.4 = 77.55
So our discount price is $77.55
hope this helps:)
Evaluate the expression.
Answer: 13
Step-by-step explanation:
What is the domain of the function y=2./X-6?
O 0x
O 3x<0
O 6x<0
Answer:
because this is a positive root function, domain is positive so
0<=x<infinity
Step-by-step explanation:
If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the
orginal?
Answer:
1=6
7=42
2.5=15
5=30
Step-by-step explanation:
Multiply each original value by the scale factor
1×6=6
7×6=42
2.5×6=15 (2×6 + 6×0.5)
5×6=30
Answer:
Original: 5 cm = Enlarged: 30 cm
Original: 7 cm = Enlarged: 42 cm
Original: 2.5 cm = Enlarged: 15 cm
Original: 1 cm = Enlarged: 6 cm
Step-by-step explanation:
Edg Warm-up answer 2021
Martha goes to the grocery store to buy oranges . Oranges are on sale for $1.25 per pound . How much would 5 pound of oranges cost
Answer:6.25
Step-by-step explanation:1.25x5=6.25
Answer:
$6.25
Step-by-step explanation:
1.25 × 5 = 6.25
hope this helps...
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer:
Susana will have 107 students.
Step-by-step explanation:
Becca have students = 115
Susana has 8 fewer students than Becca.We can write its as:
Becca has 115 students, so Susana will have 115-8 = 107 students
Because fewer means less than so, 8 less than 115 is 115-8
Erika has 25 more students than Susana.We can write it as:
Susana has 107 students, so Erika will have: 107+25 = 132 students.
because more means we need to add 25 students with number of students in Susana class.
So, Susana will have 107 students.
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Answer:
See explanation below
Step-by-step explanation:
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Given the equations;
2x = 10
x = 10/2
x = 5
For the equation 2x > 10
x > 10/2
x > 5
The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5
Which equation shows the zero property of multiplication
A. 4×0=0
B. 9+9+9=3×9
C. 3×6=6×3
D. 5×1=1
Answer:
A. 4×0= 0
Step-by-step explanation:
since it shows that any number you multiply by 0 still gives you 0
When Ms. Wilson calls to place her order, the store informs her that the delivery fee has increased by $4, but the price of the topsoil remains the same. Write an equation to represent the new situation. Explain
Answer:
28$ + 4$
Step-by-step explanation: the chart at one yard of top soil was 28$
helppppppppppppppppppppp
Answer:
$7.20
Step-by-step explanation:
60% of 4.5 = 2.7
4.5+2.7 = $7.2
Answer:
7.2
Step-by-step explanation:
So u do 60% of 4.5 and add ur answer to 4.5
....................
Answer:
.........................
Step-by-step explanation:
A 5k marathon is equivalent to how many miles.? (Conversion factor: 1 mile = 1.6 km)
Answer:
3.10686
Step-by-step explanation:
Divide the kilometer by 1.609
9514 1404 393
Answer:
3 1/8 miles
Step-by-step explanation:
Using your conversion factor ...
(5 km) × (1 mi)/(1.6 km) = (5/1.6) mi = 25/8 mi = 3 1/8 mi
A 5k race is about 3 1/8 miles.
_____
Additional comment
That estimate that is high by 0.584%, or 29.2 meters.