Answer:
2.7 miles
Step-by-step explanation:
2 1/4 miles divided by 5/6 hour = 2.7 miles/hr
luis is six years younger than santiago.Michael is three times as old as santiago.The sum of their ages is 59.How old is Michael?
Answer: Michael is 39 years old.
Step-by-step explanation:
Let l stand for Luis, s stand for Santiago, and m stand for Michael.
l = s - 6
m = 3s
s + (s-6) + 3s = 59
s + s - 6 + 3s = 59
5s - 6 = 59
+6 +6
5s = 65
/5 /5
s = 13
Now plug s into the equation that represents Michael:
m = 3s
m = 3(13)
m = 39
Michael is 39 years old.
Which expressions simplify to a rational answer?
Select each correct answer.
A. 1/4 + 1/2
B. √3 + 4
C. √4 + 7
D. 2 x √9
E. 7 x √6
F. 4 x 2√3
G. 3.7 x (1/3)
H. 7 x √81
Answer:Answer: Expression will be the correct answer.
Explanation:
Since, we know that a rational Number is a number which can be expressed in the form p/q where q≠0 .
here the option √3×√2=√6 is not a rational number.(because, )
√11×√5=√55 is not a rational number.
√52×√2=√104 is not a rational number.
√9×√16=√144=12 is a rational number. ( because every integer must be a rational number).
So, 4th option will be correct .
Step-by-step explanation:
What are the x-intercepts of y = 4x^2 + 4x + 1?
Answer:
hope this helps:) have a good day
Answer:
-1/2 is the x vertex.
Step-by-step explanation:
(y = ax^2 + bx + c),
-(b)/2(a)
-(4)/2(4)
-4/8 = -1/2
-1/2 is x
What is the name of the green segment in the hyperbola below
The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.
In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.
The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.
The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.
The blue segment is the conjugate axis, and it is represented by the letters "2b".
Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.
If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.
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ten divided by 1/4
thank you
a new crew of painters can paint a small apartment in hours. an experienced crew can paint the small apartment in hours. how many hours does it take to paint the apartment when the two crews work together? it takes blank hours to paint the apartment when the two crews work together. the solution is
Let's say the new crew of painters can paint the small apartment in x hours, and the experienced crew can paint the small apartment in y hours. Let the time taken by the new crew of painters to paint the small apartment be N hours, and the time taken by the experienced crew be E hours.
We are supposed to find the time it takes for both crews to paint the apartment together.
Step 1: Find the work rate of each crew.
The new crew's work rate is 1/N (apartments painted per hour).
The experienced crew's work rate is 1/E (apartments painted per hour).
Step 2: Calculate the combined work rate of both crews.
Combined work rate = New crew's work rate + Experienced crew's work rate
Combined work rate = (1/N) + (1/E)
Step 3: Find the time it takes for both crews to paint the apartment together.
Let T be the time it takes for both crews to paint the apartment together. Their combined work rate can be expressed as the reciprocal of T.
1/T = (1/N) + (1/E)
Step 4: Solve for T.
T = 1 / [(1/N) + (1/E)]
So, it takes T hours to paint the apartment when the two crews work together. Once you know the specific values of N and E, you can plug them into the equation and solve for T to find the solution.
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please help due soon
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
30 is 85 percent of what number?
Divide 30 by 85%
30/0.85 = 35.29411765
Answer:
35 5/17 or 35.29411765
Step-by-step explanation:
30 times 100 divided by 85
y is directly proportional to x²
If y = 108 when x = 3 find
x when y = 300
which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5
Answer:
like fractions have the same denominator. So A is correct
Help with slope pleaseee
^^
Justin works in a department store selling clothing. He makes a guaranteed salary of $450 per week, but is paid a commision on top of his base salary equal to 30% of his total sales for the week. How much would Justin make in a week in which he made $2425 in sales? How much would Justin make in a week if he made x dollars in
We can convert that 30% into a decimal, as: 0.3 (That's 30/100)
Now, we can multiply this 0.3 by any quantity that we want to calculate 30% from.
For example, let's take Justin's commission:
\(2425\cdot0.3=727.5\)Adding this to his base salary,
\(450+727.5=1177.5\)We can conclude that Justin's paycheck for the week would be $1,117.5
Similarly, the expression for Justin's paycheck in a week were he made x dollars in sales is:
\(0.3x+450\)does tan^2x = sin^2x/cos^2x
Answer:
Yes they both are equal
Vertices of XYZ are X(-3,3.3),Y(-3,-5.2), and Z(4.5,-5.2) what is distance between points X and Y
The distance between the points X(-3,3.3) and Y(-3,-5.2) is 8.5 units.
Distance formula can be used to calculate the distance between two points in a plane. The distance formula for two points (x1,y1) and (x2,y2) is given by: d=√(x₂-x₁)²+(y₂-y₁)² where, d is the distance between two points (x1,y1) and (x2,y2).
From the question, vertices of XYZ are X(-3,3.3), Y(-3,-5.2), and Z(4.5,-5.2). The distance between points X and Y can be calculated by substituting the values of x₁, y₁, x₂, y₂ as -3, 3.3, -3, and -5.2 respectively into the distance formula: d=√((-3) - (-3))² + ((-5.2) - 3.3)²=√0²+(-8.5)²=√72.25=8.5. Therefore, the distance between the points X(-3,3.3) and Y(-3,-5.2) is 8.5 units.
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у + 6x — 36 = 0
Solve for y
Answer:
y=-6x+36
Step-by-step explanation:
у + 6x — 36 = 0
-add 36 to both sides
y+6x=36
-subtract 6x from both sides
y=36-6x or y=-6x+36
-This should be the correct answer
the table below shows the results from a spinner experiment find the probability of spinning a number greater than 2
Answer:
29/48
Step-by-step explanation:
Total number of spins: 8 + 11 + 17 + 12 = 48
Total number of spins greater than 2: 17 + 12 = 29
p(greater than 2) = 29/48
Sarah graphed the solution to the inequality StartAbsoluteValue f 3 EndAbsoluteValue less-than 9 on the number line. A number line going from negative 14 to positive 10. Open circles are at negative 12 and positive 6. Everything between the points is shaded. Which inequality statement can be used to help determine if the graph is correct? When f = 0, StartAbsoluteValue 0 3 EndAbsoluteValue less-than 9, which is true because 3 is less than 9. When f = negative 12, StartAbsoluteValue negative 12 3 EndAbsoluteValue less-than 9, which is true because 9 is equal to 9. When f = 10, StartAbsoluteValue 10 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than 13. When f = negative 14, StartAbsoluteValue negative 14 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than –11.
The graph with open circles at negative 12 and positive 6, and everything between shaded, is correct. The correct inequality statement that supports the graph is: When f = negative 12, |(-12) - 3| < 9, which is true because 9 is equal to 9.
The given inequality is |f - 3| < 9. We evaluate this inequality for different values of f to determine if it is true or false.
1. When f = 0: |0 - 3| = 3 < 9, which is true because 3 is less than 9.
2. When f = negative 12: |(-12) - 3| = |-15| = 15 < 9, which is false. The correct statement would be |(-12) - 3| < 9.
3. When f = 10: |10 - 3| = 7 < 9, which is true because 7 is less than 9.
4. When f = negative 14: |(-14) - 3| = |-17| = 17 < 9, which is false. The correct statement would be |(-14) - 3| < 9.
Based on the information provided, the inequality statement "When f = negative 12, |(-12) - 3| < 9" is true because 9 is equal to 9. Therefore, the graph with open circles at negative 12 and positive 6, and everything between shaded, is correct.
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A student runs 100 meters in 11 seconds. What is the speed of the student in miles?
Answer:
0.00565 miles / second
Step-by-step explanation:
1 mile = 1609.344 meters
100 meters = 100/1609.344 = 0.0621 miles (aprox)
100 meter/ 11 seconds = 0.0621miles / 11 seconds
= 0.00565 miles / second
PLEASE HELP! Enter answer/code
* show me how you got it and no random answers*
Answer:
a+b
Step-by-step explanation:
you have to multiply
7(3a-2b) 5(3b-4a)
7x3=21 5x3=15
7x2=14 5x4=20
(21a-14b) (15b-20a)
add them
21a-14b+15b-20a
21a-20a=1a
-14b+15b=1b
1a+1b
Express 429 as a product of its prime factors
Answer:
The answer is 429 = 3×11×13.
Step-by-step explanation:
You have to divide by prime number :
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
Answer:
3×11×13
Step-by-step explanation:
Start dividing by prime numbers. Since the number is even two won't work so next is three. If you divide 429 by 3 you get 143. You continue doing this with primes going up (5, 7, 11, 13, etc.) until you get to the final prime. 5 and 7 don't work if you try dividing them by 143 individually so next up is 11. If you divide 11 by 143 you get 13 which is also a prime number. Therefore, 3×11×13 is a product of prime factors.In the factory where you work, the specified diameter of an iron dowel is 0.345 inches, with a tolerance of ±0.01 inches. What would be an appropriate range of values for the diameter of the iron dowel?
between 0.245 and 0.445
between 0.33 and 0.36
between 0.335 and 0.355
between 0.344 and 0.346
between 0.345 and 0.365
An appropriate range of values for the diameter of the iron dowel is given as follows:
Between 0.335 and 0.355.
How to obtain the range of values?An appropriate range of values for the diameter of the iron dowel is given by the specified measure plus/minus the margin of error.
The specified measure for this problem is given as follows:
0.345 inches.
Hence the lower bound of values is given as follows:
0.345 - 0.01 = 0.335 inches.
The upper bound of values is given as follows:
0.345 + 0.01 = 0.355.
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3.12 X 10 to the power of 3
Answer:the answer is 3120
Answer:
3120
Step-by-step explanation:
help please this is due soon! I need you to show the work as well <3 pic below
Answer:
perimeter: 4x+2 area: x^2+x
Step-by-step explanation:
for perimeter, you add x+x+x+x+1+1, which is 4x+2
for area, you multiply x*x+1, which would be x^2+x
This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside. Sweatshirt Sales vs. Temperature 300 250 200 Sweatshirts Sold 150 + 100 50 0 10 50 20 30 40 Temperature (°F) The y-intercept of the estimated line of best fit is at (0, b). Enter the approximate value of the b in the first response box. Enter the approximate slope of the estimated line of best fit in the second response box, y-intercept slope
CCA, this is the solution:
As you can see, we have the following ordered pairs in the line given:
(0, 250) and (30, 150)
Step 1: Let's calculate the slope, this way:
m = 150 - 250/ 30 - 0
m = -100/30
m = -10/3 (This is the slope)
Step 2: Let's find the y-intercept, as follows:
Let's recall that the equation of a line has the form:
y = mx + b, where m is the slope
Replacing by the values we know:
150 = -10/3 * 30 + b
b = 150 + 100
b = 250 (This is the y-intercept)
The angle marked a = 48°.
Work out the angle marked x.
Answer:
x =48° because it alternates with angle a
Alternate angles are equal.
The line through the points (6, 3) and (4, –5) is perpendicular to the line through which of the following points?
Answer:
Step-by-step explanation:
( 6 , 3 )
( 4 , - 5 )
m = \(\frac{-5-3}{4-6}\) = 4
The slope of the perpendicular line is opposite reciprocal or \(-\frac{1}{4}\) , so, the answer is (a).
what is the answer what is the answer what is the step by step answer to learn to do it
Answer: 1.01% sale tax.
Step-by-step explanation:
First you must take your tax price before and the tax price after and divide them. This gets you 1.01.
To be sure this is your answer you can multiply the 1.01% by 53 and it gives you 53.53$ (If you don't understand I suggest looking at a video from khan academy they explain things much better than I do.)
Hope that helped in some way :)
15 = - 3(c - 1) + 19
Hii :))
\( \tt \: 15 = - 3(c - 1) + 19 \\ \tt \: 15 = - 3c + 3 + 19 \\ \tt \: 15 = - 3c + 22 \\ \tt \: 15 - 22 = - 3c \\ \tt \: - 7 = - 3c \\ \tt \: \frac{ - 7}{ - 3} = c \\ \tt \: \frac{7}{3} = c \\ \boxed{ \tt \: 2.33 = c}\)
\(\overbrace{ \underbrace{ \mathfrak{ \: \infty \: Carry \: on \: Learning \: \infty }}}\)
ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ
Answer:
\( \boxed{ \sf{c = 2.33}}\)
Step-by-step explanation:
\( \\ \sf15 = - 3(c - 1) + 19\)
\( \\ \sf \: \longmapsto15 = - 3c + 3 + 19\)
\( \\ \sf \longmapsto 3c = 3 + 19 - 15\)
\( \\ \sf \longmapsto 3c = 7\)
\( \\ \sf \longmapsto \: c = \frac{7}{3} \)
\( \\ \sf \therefore \: c = 2.33\)
\( \underbrace{ \overbrace \mathfrak{hope \: it \: helps}}\)
ᔕEᒪEᑎᗩ328
A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct
order and no number can be used more than once. What is the probability that someone could guess the correct code?
OA. Ito
OB.
OC.
OD.
Answer: A. \(\dfrac{1}{120}\)
Step-by-step explanation:
Total digits on keypad = 5
According to permutation,
If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!
= 5 x 4 x 3 x 2 x 1 [n!=n x (n-1) x (n-2)x ... x 1]
=120
The probability that someone guesses the correct code = \(\dfrac{\text{Number of correct codes}}{\text{Total possible codes}}\)
\(=\dfrac{1}{120}\)
Hence, the correct option is A.
Because 10 is a multiple of 90
Answer: 10 is a multiple of 90
Step-by-step explanation:
90/10 = 9. Because 9 is a whole number, 10 is a factor of 90, and 90 is a multiple of 10.
Hope it helps <3
Answer:
Step-by-step explanation
:
Why is 10 a multiple of 90?
simply
10 · 9 = 90