Answer:
-63k - 45
Step-by-step explanation:
combine like terms
find the square root of 144
Answer:
12
Step-by-step explanation:
Hi there !
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
144 = 2⁴ × 3²
√144 = √2⁴×3² = 2²×3 = 4×3 = 12
Good luck !
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.
Both ran at a constant speed.
Did they run at the same rate? Explain or show your reasoning.
I
They did not run at the same rate because
Answer:
They do not run at the same rate because Jada ran at a rate of .150km per min, while Andre ran at .133333 km per minute.
Step-by-step explanation:
Andre ran : 2km/15min = .133333km per min
Jada ran: 3km/20min=.150km per minute
.150>.1333, so Jada ran at a higher rate of kilometers per minute.
What is the greatest common factor of 24 and 33?
Answer:
3
Step-by-step explanation:
the greatest common factor means the bigget. 24 and 33 are
divisible by three.
33/3 = 11 ( / mans divide)
24/3 = 8
Hope this helped x
Is Amit's work correct? No, he should have used the origin as the center of the circle. No, the radius is 10 units, not 5 units. No, he did not calculate the distance correctly. Yes, the distance from the center to (2, –2) is not the same as the radius.
Answer:
C. No, he did not calculate the distance correctly.Step-by-step explanation:
The question is incomplete. Here is the complete question.
A circle centered at (–1, 2) has a diameter of 10 units. Amit wants to determine whether (2, –2) is also on the circle. His work is shown below. The radius is 5 units. Find the distance from the center to (2, –2). The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius. Is Amit’s work correct? No, he should have used the origin as the center of the circle. No, the radius is 10 units, not 5 units. No, he did not calculate the distance correctly. Yes, the distance from the center to (2, –2) is not the same as the radius.
For Amit to determine whether the point (2, -2) is on the circle, we will need to find the distance between the coordinates (–1, 2) and (2, -2) using the formula:
D = √(y₂-y₁)² + (x₂-x₁)²
D = √(-2-2)² + (2-(-1))²
D = √(-4)² + (2+1)²
D = √16 + 9
D = √25
D = 5 units
Since the distance between the coordinate is equal to the radius of the circle, hence the coordinate (2, -2) lies on the circle.
Hence Amit is wrong because he did not calculate the distance correctly
The Wells family drinks 6 1/2 gallons of milk per week. How much milk does the Wells family drink in five days?
Answer:
5.35 gallons in 5 days!
Step-by-step explanation:
6 1/2 aka 6.5/7= 1.07 gallons per day!
1.07*5=5.35!
PLEASE ANWSER
POR FAVOR
Sorry the picture won't load for me I'm not sure if it's just my wifi.
Hector cycled a total of 12 kilometers by making 4 trips to work. After 6 trips to work, how many kilometers will Hector have cycled in total? Solve using unit rates.
NOWWWW PLEASEEE!!!
Answer:
18km
Step-by-step explanation:
12km = 4 trips
express as a ratio.
3km : 1trip
then subsitute the amount of trips.
18km : 6trips
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ6
Select two ratios that are equivalent to 2:5
Choose 2 answers.
2:4
2:5
3:6
D 1:1
4:10
Answer:
Step-by-step explanation:
1:1. 4:10
Worth 15 points please help!!
Robin and Evelyn are playing a target game. The object of the game is to get an object as close to the center as possible. Each player’s score is the number of centimeters22 away from the center. Robin and Evelyn’s results from five rounds are shown.
Robin’s scores: 99, 108, 102, 107, 119
Evelyn’s scores: 125, 137, 138, 145, 145
The mean of Robin’s scores is 107. What is the mean of Evelyn’s scores?
Answer:
Evelyn's mean is 138
Step-by-step explanation:
i hope it helps :)
Help on activity serious
Answer:
The M it's in 3 cuz y2-y1
x2-x1
The first and thirteenth terms of an arithmetic sequence are 7/9 and 4/5, respectively. What is the seventh term?
Here,
Let the first term be denoted by a and commom difference by b.
Now,
T1 = a
= 7/9
T13 = a + 12 d
or, 4/5 = 7/9 + 12d
or 12d = 4/5 -7/9
or, 12d = 1/45
or, d = 1/410.
then,
T7= a + 6d
= 7/9 + 1/410
= 2879/2870
Please check the answer and tell me whether it is correct or not.
Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75
Answer:
22.25
Step-by-step explanation:
there are no special things to be considered.
You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:
20.25 + 2 = 22.25
What is the y-intercept of A line has a slope of -3 and passes through point (-5,4)?
Answer:
-11
Step-by-step explanation:
Use the square to answer the question.
5 in.
What is the perimeter of the square?
A 10 inches
B. 15 Inches
ОО
O c. 20 Inches
O D. 25 inches
Answer:
20 inches
Step-by-step explanation:
The correct answer is 20 because there is 4 sides and each side is worth of the length 5 so 5 times 4 - is what 20 . So the answer 20 is right . Hope this helps, you are welcome.
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts
Answer:
a. i) Please see the included graph of the equation $10·x + $12·y = $300
ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered
Step-by-step explanation:
The given information are;
The cost of each short-sleeved shirt = $10
The cost of each long-sleeved shirt = $12
The amount available in the budget = $300
The equation for the total cost = $10·x + $12·y = $300
Where;
x = The number of short-sleeved shirts
y = The number of long-sleeved shirts
Rewriting the equation given in slope and intercept form, we have;
$10·x + $12·y = $300
$12·y = $300 - $10·x
y = $300/$12 - $10·x/$12
y = 25 - 5/6·x
Please find attached, the graph of the equation made with Microsoft Excel
The values of the data that can calculated to plot the graph are;
x, y
(0, 25 )
(5, 20.83 )
(10, 16.67)
(15, 12.5 )
(20, 8.33)
(25, 4.17)
(30, 0 )
The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.
The graph of the equation is shown below.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Given:
Short-sleeved shirts cost $10 each.
Long-sleeved shirts cost $12 each.
The total budget is $300.
The given equation is:
[tex]10x+12y=300[/tex]
where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.
To find:
The graph of the given equation and the interpretation for the intercepts.
Explanation:
We have,
[tex]10x+12y=300[/tex]
Substitute [tex]x=0[/tex].
[tex]10(0)+12y=300[/tex]
[tex]12y=300[/tex]
[tex]y=\dfrac{300}{12}[/tex]
[tex]y=25[/tex]
So, the y-intercept is at point (0,25).
Substitute [tex]y=0[/tex].
[tex]10x+12(0)=300[/tex]
[tex]10x=300[/tex]
[tex]x=\dfrac{300}{10}[/tex]
[tex]x=30[/tex]
So, the x-intercept is at point (30,0).
Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Learn more:
https://brainly.com/question/13859754
Which atom or ion is the largest?
ОА. К
ОВ. к*
ОС. Са
гO D.
Са2+
O E. Li
Answer:
o.a k
Step-by-step explanation:
Translate the following sentence into an equation, then find the number. Five times a number less than 18 is is equal to 13.
Answer:
The answer would be 5x-18=13
Step-by-step explanation:
When given five times than a number, 5 would be multiplied by (x) since x can be any number. Less than 18 means subtract 18. Is equal to means an eual sign and the equation is equal to 13.
A set of 8 drinking glasses cost $24. What is the cost of each glass?
Answer:
The cost of each glass is $3.
Step-by-step explanation:
If you set this up as an equation it would look like this:
Key: x=Number of glasses
8x = 24
/8 /8
x = 3
Hope this helps!
Answer:
$3 each
Step-by-step explanation:
24 divided by 8 is 3, therefore the drinking glasses are $3 each.
Given that
2
x
−
9
y
=
11
Find
y
when
x
=
7
Answer:
y=3÷9
Step-by-step explanation:
2x-9y=11
or,2×7-9y=11
or,14-11=9y
or,3÷9=y
All of the following are correct except _____. 3 2 + 5 - 2 = 12 3 2 - 5 + 2 = 6 3 2 5 + 2 = 47 3 2 + 5 2 = 28
Answer:
269
Step-by-step explanation:
Can someone make my day and help me?
Answer: What he said
A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use
Answer:
56
Step-by-step explanation:
48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.
On a road trip, John covers 400 miles in 8 hours, including stops. If he maintains the same pace, how far (to the nearest mile) will he be from his starting point after 15 hours of driving?
Answer: 750 miles
Step-by-step explanation:
From the question, we are informed that on a road trip, John covers 400 miles in 8 hours, including stops. This means that John for every hour, John covers 50 miles (400/5).
For 15 hours of driving, John will have covered:
= 15 × 50miles
= 750 miles
Susan and Samantha went to lunch at a café. They ordered a spinach salad for \$7.76. , a tuna sandwich for $4.50 and 2 glasses of lemonade for $1.90 each. The tax was $1.60. They gave the waiter $20.00. How much change should they have received?
Answer:
$2.34
Step-by-step explanation:
7.76+4.50+1.90+1.90+1.60=17.66
20-17.66=2.34
Answer:
answer is $2.34
Step-by-step explanation:
what you do is just $20.00-$7.76-$4.50-$1.90-$1.90-$1.60= $2.34
hope it helped
if you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
Answer:
I believe there is something wrong with ur question.
Which are the better statistics to use to compare the penguin heights?
Penguin Heights at Cityview Zoo
(in cm)
Penguin Heights at Park Zoo
(in cm)
OO
оооо
35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45
O A. Median and standard deviation
O B. Mean and standard deviation
C. Median and IQR
OD. Mean and IQR
SUB
Answer:
The correct options are A and B.
Step-by-step explanation:
The Penguin Heights at City view Zoo (in cm) is:
S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}
Compute the mean and median of the data:
[tex]\text{Mean}=\frac{1}{n}\sum X\\\\=\frac{1}{11}\times [35+36+37+38+39+40+41+42+43+44+45]\\\\=40[/tex]
[tex]\text{Median}=[\frac{n+1}{2}]^{th}obs.\\\\=[\frac{11+1}{2}]^{th}obs.\\\\=6^{th}obs.\\\\=40[/tex]
The mean and median are same.
Tis implies that the height of penguins are normally distributed.
So, either the mean or median could be the best measure of center.
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
Thus, the correct options are A and B.
-38=-6x +4(x-7) simply the answer
Answer:
x=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
An employee at a cell phone store makes $15 per hour plus a commission of 2.5% of her phone sales. This week she sold 40 phones averaging $450 each. What is there
Commission this week?
Will brainliest and 15 points!!!!
Answer:
$450
Step-by-step explanation:
15h+0.025p
h represents the number of hours they worked, and p represents the number of phones sold, so (450•0.025)•40=450, so the commission is a total of $450.
Answer: $450
Step-by-step explanation: An employee at a cell phone store makes $15 per hour plus a commission of 2.5% of her phone sales. This week she sold 40 phones averaging $450 each. What is there
Commission this week?
Will brainliest and 15 points!!!!
Jimmy has to fill up his car with gasoline to drive to
and from work next week. If gas costs $3.00 per
gallon, and his car holds a maximum of 20
gallons, what is the domain and range of the
function?
Answer: 25$
Step-by-step explanation:
3:00 per hour x 20 - 3.30