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Related Questions
Jessica had $150 in her savings account on the first Sunday of November. Beginning this that week, she say $35 each week. Write a recursive rule that describes how much money Jessica Addie her savings account at the end of n weeks.
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$150 is the amount that Jessica is starting with. That means that the first term, or a₁, will be 150. As the weeks progress, $35 dollars will be added on top of the amount from the previous week. That means that your recursive rule will be:
[tex]a_{1} = 150; a_{n} = a_{n-1}+35[/tex]
If you wanted to check this, you could plug in the data for each week, starting with 2 (since we already know week 1).
[tex]a_{1} = 150; a_{n} = a_{n-1}+35[/tex]
[tex]a_{1} = 150; a_{2} = a_{1}+35[/tex]
[tex]a_{1} = 150; a_{2} = 150+35[/tex]
[tex]a_{1} = 150; a_{2} = 185[/tex]
Hope this helped you out! :-)
A high school had 740 students at the start of the year, but then some students left the school. After that, the school had 726 students. If s = the number of students who left the school, which mathematical sentence expresses the information above? A. 740 - s = 726 B. s - 740 > 726 C. s - 740 = 726 D. 740 - s > 726
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Answer:
A. 740 - s = 726
Step-by-step explanation:
The equation states: the original number of students, subtracting the number of students that left, represents the number of students now.
Correct option is (A) 740 - s = 726
Given that a high school had 740 students at the start of the year.
However some students left the school. After that, the school had 726 students.
Let 's' be the the number of students who left the school
Thus as 's' students left the school, there will be deduction of 's' students from the school
Now this deduction 's' would be from the 740 students which were present in the school and the resultant students after deduction is given to be '726'
Thus we can form the mathematical expression as follows,
[tex]740 - s = 726[/tex]
Thus '740 - s = 726' is the requires expression
the cost of a $12.95 pizza was shared evenly by 5 friends. How much did each person buy?
ANSWER NOW PLSSSSSSSSSSSSSSSSSSSSSSSSS
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Hope this helps!
Garth estimated the height of the door to his classroom in meters.what is a reasonable estimate
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Good luck!
The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm. Which inequality models the relationship between the width and the perimeter of the rectangle?
2w+2⋅(5w)>96
2w+2⋅(5w)<96
2w+2⋅(5w)≤96
2w+2⋅(5w)≥96
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Let
L--------> the length of the rectangle
W-------> the width of the rectangle
we know that
the perimeter of the rectangle is equal to
[tex]P=2L+2W[/tex]
[tex]P\leq 96\ cm[/tex]
so
[tex](2L+2W)\leq 96[/tex] ---------> equation [tex]1[/tex]
[tex]L=5W[/tex] ---------> equation [tex]2[/tex]
Substitute equation [tex]2[/tex] in equation [tex]1[/tex]
[tex]2*(5W)+2W\leq 96[/tex]
therefore
the answer is the option
2w+2⋅(5w)≤96
Answer:
2w+2⋅(5w)≤96
Step-by-step explanation:
Which values for x and y make the statement (x - 5)(y + 6) = 0 true?
A. x = -5, y = 6
B. x = 5, y = -6
C. x = -5, y = -6
D. x = 5, y = 6
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its b sis.
:') your welcome
in the given figure ABIICD . prove that angle BPO + angle POQ + angle DOQ = 4 right angles. 360 degrees
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Beatrice has 15 glasses and 20 mugs. She would like to set them out in identical groups, with none left over. In preparation for a dinner party. What is the greatest number of groups Beatrice can set out?
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factor each
15=3*5
20=2*2*5
common factor is 5
15/5=3
20/5=4
greatest number of groups is 5 groups
each group will have 3 glasses and 4 mugs
You and your friend buy 2 fruit smoothies and leave a tip. You split the total and your half comes to 3.60. What percent tip did you and your friend leave if the fruit smoothies each cost $3 each
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how to find the volume of the cone?
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volume of cone = (1/3) x pi x (radius)^2 x height
from the givens:
pi = 22/7
I'll assume that the 10 cm refers to the height
radius = 16/2 = 8 cm
substitute in the equation to get the volume as follows:
volume=(1/3) x (22/7) x (8x10^-2)^2 x (10x10^-2)
= 6.7 x 10^-4 m^3
6. What property is being shown? 5 3 ∙ 1 = 5 3
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This states that anything you multiply by 1 will always be that number.
3x+1/5 y= 7 solve for x
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I hope this helps! :>
To solve for a variable, you have to isolate the variable that you want to solve. In this case, we want to solve for "x," so we must isolate "x."
So, subtract 1/5y from both sides.
3x = -1/5y + 7
Then, divide both sides by 3.
3x ÷ 3 = (-1/5y + 7) ÷ 3
Simplify.
x = -1/15y + 7/3
~Hope I helped!~
Please help! I don't know how to do this.
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3x-4y=6
-4y=-3x+6
y=(3/4)x-3/2
In a class, 21 students have black hair, 11 students have blonde hair, 9 students have brown hair and 4 students have red hair. Determine the sector angles needed to construct a circle graph. Determine a name for the circle graph.
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Black hair=21*360/45=168
Blonde=11*360/45=88
Brown=9*360/45=72
Red=4*360/45=32
Which expression is equivalent to −10+(−40)+(−90) ?
a −(10−40)+(−90)
b −10−(40−90)
c 10+40+90
d −10+(−90)+(−40)
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The required expression is equivalent to −10+(−40)+(−90) is −10+(−90)+(−40). Option D is correct.
Given that,
An equivalent expression to −10+(−40)+(−90) is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
= −10+(−40)+(−90)
= -10 -40 - 90
= -140
a
= −(10−40)+(−90)
= +30 - 90
= -60
b
= −10−(40−90)
=-10+50
= 40
c
= 10+40+90
= + 140
d
=−10+(−90)+(−40)
= -10 - 90 -40
=-140
Thus, the required expression is equivalent to −10+(−40)+(−90) is −10+(−90)+(−40). Option D is correct.
Learn more about arithmetic here:
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To prepare for the upcoming competition season, an Olympic skier trains 5 days per week. The average number of miles the skier will ski in 1 day is 25.7. How many miles does the Olympic skier ski in 1 week?
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In this instance, a week is 5 days, not seven.
25.7+25.7+25.7+25.7+25.7 or 25.7*5
128.5 miles
What are some ways to describe the relationship between sets of numbers?
So like real numbers, Rational numbers, Integers, Whole Numbers, and Irrational numbers.
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The high temperature on Saturday was 6 F. The low temperature was -3 F. What was the difference between the high and low temperatures for the day?
It's the last Q in pic
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count up from -3, and you'll get 9, same as subtracting 6 from -3. answer is 9 degrees F
what is the what is the unit rate of $32.05 / 15 gallons
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Hope this helps!
To find the unit rate of $32.05 for 15 gallons, divide the total cost by the number of gallons, resulting in $2.14 per gallon. This unit rate helps to compare the cost per gallon with other price points.
Explanation:The unit rate is a way to compare a quantity to one unit of another quantity. For the case of $32.05 per 15 gallons, we can calculate the unit rate by dividing the total cost by the number of gallons to find the cost per one gallon.
Step-by-step Calculation
Divide $32.05 by 15 gallons to find the unit rate in dollars per gallon.$32.05 ÷ 15 gallons = $2.14 per gallon.This means the unit rate, or the cost for one gallon of gasoline, is $2.14 per gallon.
Comparing this with other unit prices provided: $2.20 per gallon, $2.00 per gallon, $1.80 per gallon, $1.60 per gallon, $1.40 per gallon, $1.20 per gallon, and $1.00 per gallon, we can observe how this unit rate fits within the broader range of prices and quantities.
Can you ever use a calculator to determine if a number is irrational or rational?
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All rational numbers are either terminating or repeating decimals. This means that they either end or the decimal repeats the same digit or digits infinitely. An irrational number will never end and will not have a pattern to its digits.
Hope this helps!
What’s the greatest common factor for 30,48,60
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What is the measure of angle x?
m∠x = __ °
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180-102-31=47
x=47
Solve the inequality. -3/4x+1<10
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-3/4x<9
Divide both sides by -3/4. Flip the inequality
x>-12
Final answer: x>-12
x+6 /3 = 2+x-2/5
x+6 is a fraction so it's the numerator and the 3 is underneath
same with the right side, x-2 is the numerator and 5 is denominator. help please, i know the answer but I don't know how to get it
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So:
5(x+6)/15 = 30/15 + 3(x-2)/15
(5x+6)/15 - (30/15) - (3x - 6)/15
As you already know the answer, I'm assuming you can do the rest.
Hope this helps!
the angle of elevation from a ship to the top of a 35 m lighthouse on the shore measure 28 degrees. How far is the ship from shore
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If you put 28 into tan(), you'll get about 0.5317
If you then divide 35 by that, you'll get about 65.826ish.
I'm relatively sure that's what it is.
What is the value of s?
0.7(3s+4)−1.1s=7.9
Enter the answer as a decimal in the box.
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2.1s+2.8-1.1s=7.9
2.1s-1.1s=7.9-2.8
S=5.1
The value of s from the equation 0.7(3s+4)−1.1s = 7.9 is 5.1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Equation:0.7(3s+4)−1.1s=7.9
Now, solving equation for s we get
2.1 s + 2.8 - 1.1 s = 7.9
1 s = 7.9- 2.8
s = 5.1
Thus, the value of s is 5.1
Learn more about Equation here:
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The sales tax rates from 4 different countries are shown in the table. Convert each sales tax rate to a decimal. Then sort the countries from least to greatest tax rates.
Hamilton: 9/160
Oakland: 5.75%
Green: 5 7/8%
Campbell: 11/200
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oakland : 5.75% = 0.0575
green : 5 7/8% = 5.875% = 0.05875
campbell : 11/200 = 0.055
least to greatest : campbell , hamilton, oakland, green
can someone please explain what I did wrong and, how I can fix this problem. can I get the explanation as soon as possible please. ❤️
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To solve this question, we can create an expression:
[tex]2(6)+16(0.5)-7(0.5)-2(1.5)[/tex]
Follow PEDMAS:
[tex]=12+16(0.5)-7(0.5)-2(1.5)[/tex]
[tex]=12+8-7(0.5)-2(1.5)[/tex]
[tex]=12+8-3.5-2(1.5)[/tex]
[tex]=12+8-3.5-3[/tex]
[tex]=20-3.5-3[/tex]
[tex]=16.5-3[/tex]
[tex]=13.5[/tex]
He obtained 13.5 points in the football games.
Hope this helps.
-Benjamin
Whats 95 closer to 64 or 125
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95-64=31
so it would be 125
To find out if 95 is closer to 64 or 125, we compare the absolute differences. 95 is 31 units away from 64 and 30 units away from 125. Therefore, 95 is closer to 125.
To determine whether 95 is closer to 64 or 125, we need to calculate the absolute differences between 95 and each of the two numbers:
Difference between 95 and 64: |95 - 64| = 31Difference between 95 and 125: |125 - 95| = 30Since 30 is smaller than 31, 95 is closer to 125 by 1 unit.
Solve for c.
a(c−b)=d
A)c=d − ab/a
B)c=d − ab/b
C)c=ab − d/a
D)c=d + ab/a
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ac - ab = d
ac = d + ab
c = (d + ab) / a
answer is
D. c = (d + ab) / a
Answer: the correct option is
(D) [tex]c=\dfrac{d+ab}{a}.[/tex]
Step-by-step explanation: We are given to solve the following equation for the value of c :
[tex]a(c-b)=d~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation for c, we need to take c on one side and all other values on the other side of the equation.
The solution for c of equation (i) is as follows :
[tex]a(c-b)=d\\\\\Rightarrow ac-ab=d\\\\\Rightarrow ac=d+ab\\\\\Rightarrow c=\dfrac{d+ab}{a}.[/tex]
Thus, the required value of c is [tex]c=\dfrac{d+ab}{a}.[/tex]
Option (D) is CORRECT.