Bea is buying pens and pencils. Pens cost $2 and pencils cost $1. She plans on spending no more than $10 and wants to buy at least 10 items. Which two inequalities model this situation?
Answers
Well each pen costs $2 and each pencil costs $1.
One of the equations would be
2p + 1c ≤ 10
She doesn’t want to spend more than 10 dollars but wants to get 10 items. So she’ll be spending $10. For the pencils.
1c ≤ 10 c = 10
1(10) ≤ 10
10 ≤ 10
Now for the pens
2p ≤ 10
2. 2
P = 5
5 ≤ 10
Anymore will go over her budget. She wants to buy at least 10 items not 10 exactly so she can buy 5 pens or 10 pencils.
Related Questions
You model your investment account using the formula y = 20000(1.035)x where x represents the
number of years and y represents the account balance after x years. What is the growth rate of your
investment?
Answers
Answer:
Step-by-step explanation:
The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.
To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.
So, the growth rate of the investment is:
1.035 - 1 = 0.035
0.035 * 100 = 3.5%
Therefore, the growth rate of the investment is 3.5%.
The growth rate of the investment can be found by subtracting 1 from the base of the exponential function and converting the result to a percentage:
growth rate = (base - 1) x 100%
growth rate = (1.035 - 1) x 100%
growth rate = 0.035 x 100%
growth rate = 3.5%
Therefore, the growth rate of the investment is 3.5%.
When Mr. Jackson got in his car yesterday, the odometer read 187,198.9 km. When he got home, the reading was 187,399.4 km. How far did Mr. Jackson drive?
Answers
The distance Mr. Jackson drove from when he got in his car to when he got home is 200.5 km.
Given:
The odometer reading when Mr.Jackson got in his car = 187,198.9 km
The odometer reading when Mr.Jackson got home = 187,399.4 km
An odometer is a device used to calculate the distance traveled by a vehicle.
To determine the distance Mr.Jackson drove we subtract the odometer readings from when he got home minus when he got into his car.
⇒ (187,399.4 - 187,198.9) km
⇒ 200.5 km
Therefore, Mr. Jackson drove 220.5 km from when he got in his car to when he got home.
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A box of cupcakes feeds 5 people. If you are having a party and invited 148 people, how many boxes of cupcakes would you need to buy?
LABEL AND PLZZ HURRY UP!!!
Answers
Answer: 30 boxes of cupcakes
Step-by-step explanation:
Answer:
yea top is right i 29.6 estimate yea 30
I need help answering this please
Answers
Answer:
DF = 20.4
Step-by-step explanation:
The figure given is a kite.
A kite has two set of opposite sides that are congruent. And the diagonals bisect each other. Thus,
∆DEH is congruent to ∆FEH, therefore, DH = HF
Use pythagorean theorem to find DH:
DH² = DE² - EH²
DH² = 15² - 11²
DH² = 104
DH = √104
DH = 10.2 (nearest tenth)
DF = 2(DH)
DF = 2(10.2)
DF = 20.4
I need to find the weight of the cast iron shape
Answers
Density of iron:
\(0.2607\frac{lb}{in^3}\)Then the weight of the cast iron shape is given by 0.2607*V, whe V is its volume.
The volume of the cast iron shape is given by its base area multiplied by its height. Since its base has the form of an equilateral triangle with side length of 4 in, its area is . Then we have:
\(\begin{gathered} V=4\sqrt[]{3}\cdot6=24\sqrt[]{3}\approx41.6in^3 \\ \text{Therefore, the weight is:} \\ 0.2607\cdot24\sqrt[]{3}=10.8\text{ }lb \end{gathered}\)Nick buys a pack of pokemon cards for $13.75. The tax is 5%. How much tax is added to the bill?
PLS HURY.
Answers
Answer:
The answer is
→ 69 cents in tax.
Step-by-step explanation:
$13.75 + 5% = $14.4375
$14.4375 - $13.75 = 0.6875 cents
0.6875 cents → 0.69 or 69 cents (rounded up)
Hope this helped! Mark him brainliest, he answered first! :^)
Damian works after school. Each
day he earns a set amount, plus
an hourly wage, as shown in the
table Write a linear function i
that Damian can use to determine
his pay.
Answers
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
Here we want to find a linear relation with only using the data in a table, we will find that the line is:
\(y = 12\cdot x + 12\)
We know that Damian's earns a set amount plus an hourly wage, then this can be modeled with a linear equation:
\(y = a\cdot x + b\)
Where a is the slope, which in this case is the hourly wage, and b is the y-intercept, which in this case is the set amount.
Such that x is the number of hours and y is the pay.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be given as:
\(a = \frac{x_2 - x_1}{y_2 - y_1}\)
By looking at the table we can find two points of our line, for example, if we use the first and third points:
(1, 22) and (2, 34) then the slope will be:
\(a = \frac{34 - 22}{2 - 1} = 12\)
Then the line is something like:
\(y = 12\cdot x + b\)
To find the value of b, we can use one of the points, for example, the point (1, 22) means that when x = 1, we must have y = 22.
Replacing that in the above equation we have:
\(22 = 12\cdot1 + b\\\\22 = 12 + b\\\\22 - 12 = b = 12\)
Then the equation of the line is:
\(y = 12\cdot x + 12\)
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Jordayn has read 72 pages of her book. It took her 1 (1)/(2 ) hours. How many hours would it take for her to read 168 page book?
Answers
Answer:
We can start by finding how many pages Jordayn reads per hour:
Pages per hour = 72 ÷ (1 1/2) = 72 ÷ 3/2 = 48
So, Jordayn reads 48 pages per hour.
To find out how long it would take her to read a 168-page book, we can use the following formula:
Time = Pages ÷ Pages per hour
Time = 168 ÷ 48
Time = 3.5
Therefore, it would take Jordayn 3.5 hours to read a 168-page book, assuming her reading speed remains constant
Paying into a retirement savings plan will increase taxable income, true or false
Answers
Answer:
true
Step-by-step explanation:
Looking to find the measure of C.
a = 2x+6
b = x + 24
Answers
Check the picture below.
try, check, and revise or write an equation to solve:
1)-What are the two whole numbers whose product is 294 and whose quotient is 6?
Answers
Answer:
42 and 7.
Step-by-step explanation:
Let the two numbers be x and y respectively.
Translating the word problem into an algebraic expression, we have;
x * y = 294
x/y = 6
x = 6y
Substituting eqn 3 into eqn 2, we have;
6y * y = 294
6y² = 294
Dividing both sides by 6, we have;
y² = 49
Taking the square root of both sides, we have;
y = 7
To find the value of x;
x = 6y
x = 6*7
x = 42
Therefore, the two whole numbers are 42 and 7.
Describe how to add 3 2/5 and 1 1/5 and how to subtract them.
Answers
If AABC= AMNO, then what corresponding angle is congruent to angle N?
Answers
Answer:
.aabc=amn0#1211
Step-by-step explanation:
nosascoOsasco n=12.8
A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
HELO
Answers
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
We have,
3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.
Now, first convert all quantity in same unit.
3 ½ cups of flour
= 3 cups + 0.5 cups
= 3 cups and 8 ounces.
and, 2 ⅔ cups of sugar
= 2 cups + 0.67 cups,
= 2 cups and 10.72 ounces.
and, 1 ¾ cups of cocoa
=1 cup + 0.75 cups
= 1 cup and 12 ounces.
So, the total amount
= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
= 7 cups
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
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I need some help with 7 I was wondering if anyone could give me a step by step answer
Answers
To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.
The derivative of the expression is given by:
dy/dx = 30(x-25)
Setting this equal to 0, we get:
0 = 30(x-25)
Solving for x, we get:
x = 25
Substituting this value into the original expression for y, we get:
y = 15(25-25)^2+130 = 130
Therefore, the minimum value of y is 130, which is achieved when x=25.
QUESTION 6 1 POINT
Using the table, what is the average daily balance of the credit card for the August 1 through August 31 billing period?
Round your answer to the nearest dollar.
Provide your answer below:
Day
1
8
16
24
Activity
Payment
Purchase
Purchase
Adjustment Closing Balance
-550
4
+200
+150
850
300
500
650
Answers
Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.
To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.
Let's calculate the daily balances for each day:
Day 1: Closing Balance = $850
Day 8: Closing Balance = $300
Day 16: Closing Balance = $500
Day 24: Closing Balance = $650
To calculate the daily balances, we need to consider the activities that occurred on each day.
On Day 1, there was no activity recorded, so the closing balance remains at $850.
On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.
On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.
On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.
Now, let's calculate the average daily balance:
Sum of daily balances = $850 + $300 + $500 + $650 = $2300
Number of days in the billing period = 31
Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19
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I WILL GIVE BRAINLIEST
And more points please answer
Answers
Answer:
Step-by-step explanation:
Answer: Linda's 1/2 . Phil's $0.50
Step-by-step explanation: the rate is the slop which is rise/run if that makes sense
Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
Answers
Answer:
160%
Step-by-step explanation:
(65 - 25 )/25 x 100% = 160%
Select the correct answer.
What is the value of x?
The picture shows a triangle. The length of the right sideline is x and the base is 15. The angle of the left vertex is 45 degrees.
A.
7.5
B.
10.6
C.
15
D.
21.2
Answers
The value of x is approximately 10.6. So, the correct answer is B. 10.6
To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.
Using the sine function, we have:
sin(45 degrees) = x / 15
To solve for x, we can rearrange the equation:
\(x = 15 \times sin(45 degrees)\)
Using the exact value of sin(45 degrees) (which is √2 / 2), we have:
\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)
x = 7.5√2
Therefore, the correct answer is B. 10.6.
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Of 120 students from College of Education DIVERS State 19 read both accoch tacy and sociology to read Accountacy or Sociology but not french 27 read Sociology but not accountary or french, 53 read sociology or french but 19 read French but not AccoLLA not Accountacy tacy or Sociology an French but not sociology and and 8 read Accountay Assume that each Student reads at least one of the courses. How many students read; (1) All three courses. (11) Only one course (11) two courses (N) Accountacy irrespective of sociology or french
Answers
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
How to solveLet A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.
Let X be the number of students reading all three.
From the information given:
A ∩ S = 19
A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)
S - A - X = 27
S + F - X = 53
F - X = 19
A - X = 86 - 19 = 67
Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120
Solving, we get X = 6, A = 73, S = 52, F = 25.
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
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Help ASAP, easy 15 points and a brainly for the first one to answer .
Answers
Answer:
It slopes downward from left to right. You can see the downward slope of that gender, which starts at the left and moves to the right.
Step-by-step explanation:
Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume
Answers
The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =
The given dimensions for cylinders are:
r = 1.75 in, h = 2.2 in Surface Area of Cylinder:
S = 2πr² + 2πrh
The surface area formula of a cylinder is S = (2 * pi * \(r^2\)) + (2 * pi * r * h).
S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)
= 44.33 + 38.49
= 82.82 square inches.
Volume of Cylinder: V = πr²h
The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.
Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.
Volume = π(1.75)²(2.2)
Volume ≈ π(3.0625)(2.2)
Volume ≈ 6.7375π cubic inches
The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm
Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.
Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.
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Explain what an exponential form is but leveled down for high schoolers
Answers
The required exponential function is given as y = aˣ where the value of a should be positive always.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.
Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.
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Can somebody explain how to solve this pls??
Answers
Answer:
1: domain: 1, 3, 5, -2, -3
Range: 1, 3, 5, 1, -3
2: Domain: 2, 1, -1, -3, -3
Range: 3, -4, -2, 1, 3
Step-by-step explanation:
the domain is the x intercepts, so if the coord is (5, 7) the domain would be 5
The range is the y intercept, so if the coord would also be (5. 7) the range would be 7
and yea uh tell me if i did anything wrong
What is 20% of 80 I need help
Answers
Answer:
16
Step-by-step explanation:
20% = 0.2
80 x 0.2 = 16
Please mark me Brainliest :)
Answer:
16 is 20 percent out of 80
Step-by-step explanation:
Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
Answers
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
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PLEASE HELP I NEED ASAP
Answers
Answer:
no your answer is correct :)
The function f(x)=3x+K and f(4)=7. Find the value of K and f(2)
Answers
Step-by-step explanation:
step 1. f(4) = 3(4) + K = 7 (plug in values)
step 2. K = -5 (subtract 12 from each side)
step 3. therefore f(x) = 3x - 5
step 4. f(2) = 3(2) - 5 = 1 (plug in x= 2)
If y=3x+4 and y=2x+8 find the value of both x and y
Answers
Answer:
x=4, y=16
Step-by-step explanation:
Since y is alone on one side of both equations, that means that the equations are equal.
\(2x+8=3x+4\\\)
Put like terms on the same side of the equations. I put the numbers on the left and the Xs on the right. To do this subtract 4 from both sides. You will get:
\(2x+4=3x\)
Next, I subtracted the 2x from both sides;
\(4=x\)
For y, just substitute the x in the equation with 4. Will work for either equation.
\(y= 3(4)+4\\y= 12+4\\y=16\)
Or
\(y=2x+8\\y=2(4)+8\\y=8+8\\y=16\)
Therefore, y=16
The radius of a circle is 17 centimeters. What is the circle's circumference?
Answers
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.