Answer:
they are both prime numbers
have a nice day
The answer is below.
What do 2 and 7 have in common?Both prime numbersBoth can get to certain numbers.
2 and 7 can both get to..14
So, this is what they have in common.
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Find the nth term for the sequence:
16, 43, 88, 151, 232
Un =
Joey wants to make 2-ounce bags of trail mix for his friends. He has 2 pounds of trail mix. How many 2-ounce bags can he make?
Answer:
16
Step-by-step explanation:
2 pounds = 32 ounces
32 ounces / 2 ounces = 16 ounces
select all the expressions that equal 3 to the power of 4.
A.7
B.4 to the power of 3
C.12
D.81
E.64
F.9 to the power of 2
The equivalent expression of 3 to the power of 4. is 9 to the power of 2.
How to determine the equivalent expression?The expression is given as:
3 to the power of 4.
Mathematically the expression is
[tex]3^4[/tex]
Express 4 as 2 * 2
[tex]3^{2*2}[/tex]
Evaluate 3^2
[tex]9^2[/tex]
This means that:
9 to the power of 2.
Hence, the equivalent expression of 3 to the power of 4. is 9 to the power of 2.
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At the beginning of the year, Alyssa had $100 in savings and saved an additional $7 each week thereafter. Colton started the year with $55 and saved $10 every week. Let AA represent the amount of money Alyssa has saved tt weeks after the beginning of the year and let CC represent the amount of money Colton has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the amount of money Alyssa and Colton have saved in the week that they have the same amount of money saved.
The equation that represents the amount saved by Alyssa after tt weeks is AA = 100 + $7tt
The equation that represents the amount saved by Colton after tt weeks is CC = $55 + $10tt
The amount they would have when they have same amount of money is $205.
What equation represents the total amount saved?The total amount saved: inital amount + (amount saved per week x total number of weeks
AA = 100 + $7tt
CC = $55 + $10tt
What would be the amount when they have the same amount of money?$55 + $10tt = 100 + $7tt
Combine similar terms and solve for tt
100 - 55 = 10tt - 7tt
45 = 3tt
tt = 15 weeks
100 + $7(15) = $205
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For a 12-month period, the numbers of inches of snow per month in Chicago
were:
11, 10, 6, 1,0,0,0,0,0, 1, 2, 9
What is the range of the data values?
O A. 6.
B. 1
C. 11
D. 10
Answer:
C. 11
Step-by-step explanation:
Calculating range is subtracting the highest data value(11) from the lowest data value(0)
11 - 0 = 11
Jose made 5 2/3 cups of juice. He served 3/4 of it at dinner. Which equation shows the amount of juice that Jose served?
Answer:
4 1/4 cups were served
Step-by-step explanation:
Just multiply 5 2/3 cups by 3/4:
17 3
---- * ---- = 4 1/4 cups were served.
3 4
An equation shows the amount of juice that Jose served is x= 3/4 × 17/3.
What is the product of two fractions?The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their numerators / Product of their denominators.
Given that, Jose made [tex]5\frac{2}{3}[/tex] cups of juice. He served 3/4 of it at dinner.
Here, [tex]5\frac{2}{3}[/tex] cups can be written as 17/3
Let the amount of juice that Jose served be x
Now, x= 3/4 × 17/3
x= 17/4
x= [tex]4\frac{1}{4}[/tex] cups
Therefore, an equation shows the amount of juice that Jose served is x= 3/4 × 17/3.
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PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression.
The expression indicated that the values of a will be between 4.01 and 4.99 and b will be between 2.01 and 3.99.
How to calculate the expression?From the first expression, 4 < a < 5. This means that 4 is less than a and a is less than 5. This means the values of a will be between 4.01 and 4.99.
Also, 2 < b < 4. This means that 2 is less than b and b is less than 4. Therefore, the values of b will be between 2.01 and 3.99.
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Answer:
The answer to a is 4.5, and the answer to b is 3.
Step-by-step explanation:
The averages are found as shown:
4+5=9
9/2=4.5
2+4=6
6/2=3
To find averages, first add all of the certain amount of numbers shown, then divide it all by the same amount of numbers there are.
Example:
5+7+9=21
21/3=7
Identify the type of conic section that has the equation 16x^2 + 4y^2 = 16 and identify its domain and range.
16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.
What is Conic Section?A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.
The given equation is 16x²+ 4y² = 16.
Divide both sides by 16.
x²/1 + y²/4 = 1
This is the equation of an ellipse.
It is an ellipse centered at the origin, with semi-major axis length of 2 and semi-minor axis length of 1.
Since the x² term is not negative, the domain is all real numbers.
The range of the ellipse is the range of y-values that make the equation true.
Since the y² term is not negative, the range is all real numbers as well. However, since the ellipse is centered at the origin, the range is bounded by -2 and 2, which are the y-coordinates of the endpoints of the major axis. Therefore, the range is -2 ≤ y ≤ 2.
Hence, 16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.
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Answer:
ellipse; Domain: {-1≤y≤1}; Range: {-2≤y≤2}
Step-by-step explanation:
Graph the equation. An ellipse has two lines of symmetry, the x-axis, and the y-axis. The domain is the set of all real numbers with x, written as -a ≤ x ≤ a. The range is the set of all real numbers with y, written as -b ≤ y ≤ b.
How much faster, in miles per minute, does Zoe bike in the first 5 minutes (0 – 5) of her trip compared to the last 5 minutes (20 – 25) of her trip?
A. 0.1 mile/minute faster
B. 0.3 mile/minute faster
C. 0.4 mile/minute faster
D. 0.5 mile/minute faster
Using proportions, it is found that the correct option regarding how much faster she is in the first 5 minutes compared to the last 5 is given by:
B. 0.3 mile/minute faster
What is a proportion?A proportion is a fraction of a total amount
Researching the problem on the internet, it is found that on the first 5 minutes, she bikes 2 miles, hence the ratio is:
r1 = 2/5 = 0.4 miles/minute.
On the last 5 minutes, she bikes 0.5 miles, hence:
r2 = 0.5/5 = 0.1 miles/minute.
The difference is given by:
D = 0.4 - 0.1 = 0.3 miles/minute.
Which means that option B is correct.
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factor with GCF
3x^2y + 6xy - 9xy^2
[tex]3x^2y+6xy-9xy^2\\\\=3xy(x+2-3y)[/tex]
What are the factors of m2 – 12m 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4
Answer:
B
Step-by-step explanation:
-10 and -2
Answer:
-10 and -2
Step-by-step explanation:
The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times.
How many times did the family eat at restaurants in a year?
20% amys place
10% pizza hut
10% taco bell
27 times adams house
Answer:
b pizza hut
Step-by-step explanation:
sorry im wrong
find the area of a rectangle that measures 2 2/3 in. by 36 1/2 in.
Answer:
97 1/3 or 97.3333
Step-by-step explanation:
multiply 2 2/3 by 36 1/2
:)
shari is stringing round beads on a string. Each bead has a radius of 1.64 cm she strings 12 of the beads what is the length of the strung beads?
Answer:
39.36cm
Step-by-step explanation:
Since each bead has a radius of 1.64cm and there are 12 beads, all we have to do is multiply amount of beads by their length. Since it is the radius, we have to multiply the length by 2.
So [tex]3.28[/tex] × [tex]12 = 39.36[/tex]cm.
Which expression(s) are equivalent to (5^1/8 times 5^3/8
A.) 5^3/2
B.) 5^9/8
C.) Squareroot 5^3
D.) (^8squareroot 5)^9
[tex]5 {}^{ \frac{1}{8} } \times 5 {}^{ \frac{3}{8} } [/tex]
[tex] = 5 {}^{ \frac{1 + 3}{8} } = 5 {}^{ \frac{4}{8} } = 5 {}^{ \frac{1}{2} } = \sqrt{5} [/tex]
Factor the polynomials comletely, then solve 9x^2 +66x+21 = 0
Answer:
x= -1/3
x = -7
Step-by-step explanation:
9x^2 +66x+21 = 0
a=9 b=66 c=21
quadratic formula
x=(-b +/- square root of (b^2 – 4ac))/(2a)
x = (-66 +/- square root of (66^2 -4*9*21))/(2*9)
x = (-66 +/- square root of (4356 -756))/(18)
x = (-66 +/- square root of (3600))/(18)
x = (-66 +/- 60)/18
split the fraction
(-66 +/- 60)/18 = -6/18 and -126/18 because of the +/-
x = -6/18 x = -126/18
x = -1/3 x = -7
[tex]~~~~~~9x^2+66x+21 = 0\\\\\implies 3(3x^2+22x+7)=0\\\\\implies 3x^2+22x+7=0\\\\\implies 3x^2 +21x +x +7=0\\\\\implies 3x(x+7) +(x+7)=0\\\\\implies (x+7)(3x+1)=0\\\\\implies x = -7~~ \text{or}~~ x =-\dfrac 13[/tex]
Determine the value of the angle.
Angle FDE=
Answer:
angle fde = 37 degree
Step-by-step explanation:
we have,
angle bdc = angle fde
for angle bdc
adf = 90, adb = 53
let the value be x
=> 90+53+x = 180
=> 143+x = 180
=> x = 180 - 143
=> x = 37
bdc = 37
so, fde = 37
What is the domain and range of the following graph
Answer:
Step-by-step explanation:
Domain is x-values the graph can have
x = [-3,22]
range is the y values the graph includes
range-= [-3,+2]
4. There are 130 students in grade one, 210 students in grade two and 290 students in grade three in a primary
school, and so on in an arithmetic sequence. What's the total amount of students in the primary school? (Primary
School has 6 grades)
Answer:
well jus subtract
Step-by-step explanation\
think about it
Answer:
The total amount of students in the primary school is 1,980.
Step-by-step explanation:
130, 210, 290, ......
210 - 130 = 80
The difference between each grade is 80 students.
(g = grade)
g1 = 130, g2 = 210, g3 = 290, g4 = 370, g5 = 450, g6 = 530
130+210+290+370+450+530 = 1980
You deposit 2,000$ in a savings account earning 5% simple interest. How long will it take for ythe balance of the account to be 3,800$
Answer:
1 year and a half or 18 months
Step-by-step explanation:
Which number line shows all the values of x that make the inequality -3x + 1 < 7 true
After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.
*whenever you divide or multiply with a negative number reverse/flip the sign
< or > signs will always have an open circle
≥ or ≤ signs will have a closed/filled in circle
TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.
< would have the arrow on the number point
this way: <-
or > which would have the arrow on the number line point this way: ->
Find the equation of the line that
is perpendicular to y = 4x + 5 and
contains the point (8,-4).
The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.
What is the Equation of Perpendicular Lines?Lines that are perpendicular to each other have slope that are negative reciprocal to each other.
Slope of y = 4x + 5 is 4.
Negative reciprocal of 4 is -1/4.
Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):
y - (-4) = -1/4(x - 8)
y + 4 = -1/4x + 2
y = -1/4x + 2 - 4
y = -1/4x - 2
Equation of the perpendicular line is: y = -1/4x - 2.
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Which is the coldest temperature? Explain how you determined this using the number
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer: D
Step-by-step explanation:
Using the two point slope form with points (0, 0) and (4, -3):
[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]
[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]
Therefore, D is the correct answer
Answer:
D. y=-3/4x
Step-by-step explanation:
because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers:
Mode = 6
Range = 7
====================================================
Explanation:
The mode is the most frequent value. Based on that, we simply go for the tallest stack of 'x's which in this case is 6.
Therefore, 6 is the mode. It shows up four times which is the most of any other value.
-------
The range is the difference of the min and max
range = max - min = 8 - 1 = 7
what is the greatest common factor of 15, 5, and 50
Answer:
Therefore, the GCF of 15 and 50 is 5.
Step-by-step explanation:
Solution:
The greatest number that divides 15 and 50 exactly is their greatest common factor, i.e. GCF of 15 and 50.
⇒ Factors of 15 and 50:
Factors of 15 = 1, 3, 5, 15
Factors of 50 = 1, 2, 5, 10, 25, 50
Therefore, the GCF of 15 and 50 is 5.
Strawberries are on sale 3 boxes for $6.99. How much does 1 box cost?
Answer:
$2.33
Step-by-step explanation:
6.99/3 = 2.33
Divide cost of 3 boxes by 3:
6.99/3 = 2.33
1 box cost $2.33
5ª×5ª=5¹¹. what r the value of a?
Answer:
I think one is 5 and another is 6 because 5+6=11
Answer:
a=5
a=6
add the exponents and keep the base the same
A dress shop has a markup rate of 200%. find the selling price of a dress that cost the store owner $80.
pls help
Answer:
$240
Step-by-step explanation:
200% x 80 = 160
80 + 160 = $240
select the correct answer
what is the solution for x in the equation
5/3x+4=2/3x
Answer:
x = -4
Step-by-step explanation:
4 = 2/3x - 5/3x
4 = -3/3x
4 = -x
-4 = x
