Final answer:
A reasonable estimate for the product of 42.8 x 13.6 is 602, achieved by rounding each number to the nearest whole number and then multiplying them together.
Explanation:
To estimate the product of 42.8 x 13.6, we can round each number to the nearest whole number and then multiply. So, 42.8 is approximately 43, and 13.6 is approximately 14. Now, multiply these estimated values.
Estimated Calculation:
43 x 14 = 602
Therefore, a reasonable estimate for the product of 42.8 and 13.6 is 602. Remember, in estimation, we aim to simplify the calculation while still arriving at a number that's close to what the actual answer would be if we calculated it exactly.
Ken went to the store with his mother he spent 2.37 on groceries in addition his mother said he can spend 0.35 on candy what was his change from a five dollar bill
Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).
To rent a certain meeting room, a college charges a reservation fee of
$
31
and an additional fee of
$
6.60
per hour. The history club wants to spend at most
$
77.20
on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use
t
for the number of hours the meeting room is rented, and solve your inequality for
t
.
thank you for your help =)
31 + 6.60h <=77.20
6.60h <= 46.20
46.20/6.60 = 7
they can rent up to 7 hours
MATH HELP PLEASE !!!!!!!!!
3.14 *2r = 157
divide both sides by 3.14
2r = 157/3.14 =50
2r=50
divide both sides by 2
r = 50/2 =25
r = 25
write 25.784 in expanded form
The measures of two complementary angles are in the ratio of 5:7. what is the measure of the smaller angle?
Final answer:
To find the measure of the smaller angle with a ratio of 5:7 in two complementary angles, set up an equation based on the sum of 90 degrees, leading to a solution where the smaller angle measures 37.5 degrees.
Explanation:
The question asks to find the measure of the smaller angle when two complementary angles have a ratio of 5:7. To solve this problem, we recall that complementary angles sum up to 90 degrees. Since the angles are in a ratio of 5:7, we can denote the measures of the smaller and larger angles as 5x and 7x, respectively.
By combining these ratios, we have 5x + 7x = 90 degrees, which simplifies to 12x = 90 degrees. Solving for x gives us x = 90 / 12 = 7.5. Therefore, the measure of the smaller angle is 5x = 5 × 7.5 = 37.5 degrees.
A tennis supply store pays a wholesaler 90 for a tennis racquet and sells it for 144 what is the markup rate
sylvie finds the solution to the system of equations by graphing.
y=2/3x+1 and y=-2/3x-1
which graph shows the solution to sylvie’s system of equations?
a) graph 1
b) graph 2
c) graph 3
d) graph 4
Answer:
solution is (-1.5,0)
Graph 3
Step-by-step explanation:
[tex]y=\frac{2}{3}x+1[/tex]and [tex]y=-\frac{2}{3}x-1[/tex]
In the first equation [tex]y=\frac{2}{3}x+1[/tex]
slope = 2/3 and y intercept is 1
Lets start with graphing y intercept +1
then we slope , move 2 units up and 3 units to the right. stop at (3,3)
Now we graph the second equation
[tex]y=-\frac{2}{3}x-1[/tex]
slope = -2/3 and y intercept is -1
Lets start with graphing y intercept -1
then we slope , move 2 units down and 3 units to the right. stop at (3,-3)
both graph intersects at a point (-1.5,0)
jill is applying for a car loan. which individual will run her credit report to determine if she's eligible for a car loan?
a. creditor
b. government representative
c. employer
d. landlord
a creditor will run her report,
creditor = credit report.
Answer:
a) Creditor
Step-by-step explanation:
a) Right. Creditor
She's applying for a Car loan, the Creditor, i.e. the one who is going to lend her the money to buy a new car. In this case, if Jill is applying to a bank . The creditor will be the Bank she's applying for.
Let's look a the definition of Creditor:
A creditor is a person or company that provides credit to another person or company functions as a creditor.
creditor. (n.d.) Lightbulb Press Dictionary of Financial Terms. (2008). Retrieved September 18, 2019
b) Wrong. There is no direct cause-effect relation since a Government Representative might describe virtually any public civil servant. And also her application has nothing to do with Public Funding.
c) Wrong. Her employer is not the person appointed to determine if she's able to receive the loan. As her boss He/She whether Jill is eligible for a car loan.
d) Wrong. Similarly, her landlord is not the person appointed to determine if she's able to receive the loan.
In an equilateral triangle, what is the relationship between the length of a side and the perimeter?
Answer:
1:3
If each side is x, the the perimeter is 3x. x/3x = 1/3
Step-by-step explanation:
What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?
The expression 3x^2 + 4x - 2y^2 + 4y + 5 evaluates to -26 when x = -1 and y = 5.
Explanation:The evaluation of the expression 3x2 + 4x - 2y2 + 4y + 5 when x is equal to -1 and y is equal to 5 is calculated by substituting these values into the equation.
First, substitute x = -1 into 3x2 + 4x, which gives 3(-1)2 + 4(-1) = 3 * 1 - 4 = 3 - 4 = -1.Next, substitute y = 5 into -2y2 + 4y, which gives -2(5)2 + 4*5 = -2 * 25 + 20 = -50 + 20 = -30.Add up the results from step 1 and step 2, and include the constant 5 from the original expression to find the final result: -1 - 30 + 5 = -26.Therefore, the correct evaluation of the expression when x = -1 and y = 5 is -26.
the georges traveled 498.2 miles on 15.8 miles of gas how many miles per gallon did they get to the nearest tenth of a mile?
What is the shape of a parallel cross section of a sphere?
is -22 an irrational number???
Footrace takes place among 4 runners, how many ways to finish the race
4 * 3 *2 *1 = 24 different ways
The sum of a number and its reciprocal is 13/6. find the number
What was true about settlement of the louisiana territory?
Answer:
Settlers in the territory wanted the same approach to slavery as in the states they came from
Step-by-step explanation:
Solve each data for x: (a) a rectangle has (2x + 1) and (x +2) as length and width. Its area is 77 (b.) a triangle has (2x+2) and (x+3) as base and height. Its area is 35
help me please!!!!!!!
What is the midpoint m given p(-1, 2) and q(-2, -4)?
Sam packed 42kg of rice into one big bag and 6 small ones which are of the same size. the big bag contained 3/7 of the rice. how many kilograms of rice did each small bag contained?
solve 14x^2 + 42x + 70 = 0
Answer:
x = -3/2 ± i(√11)/2
Step-by-step explanation:
The quadratic formula can be used directly, but I find it convenient to divide by 14 first:
x^2 +3x +5 = 0
The solution to ...
ax^2 +bx +c = 0
is given by the formula ...
x = (-b ±√(b^2 -4ac))/(2a)
Here, we have a=1, b=3, c=5, so the formula gives the solutions ...
x = (-3 ±√(3^2 -4·1·5))/(2·1) = -3/2 ± i(√11)/2 . . . . . solutions are complex
A family paid 28,800 as a down payment for a home if this represents 16% of the price of the home find the price of the home
divide the down payment by the percentage
28,800 / 0.16 = 180,000
the price of the home is $180,000
28,800 ÷ 0.16 = 180,000
So the price of their home is $180,000.
PLEASE HELP!
The prize for winning a contest can be chosen from category A or category B. Prizes from category A have a mean of $1000 and a standard deviation of $50. Prizes from category B have a mean of $1000 and a standard deviation of $300. Describe an advantage of each prize category.
A man bought a horse and carriage for $500 paying three times as much for the carriage as for the horse how much did each cost
five cakes cost £4.00 how much do 7 cost
You eat 3/10 of a pack of hotdogs, your friend eats 1/5 of the pack of hotdogs. what fraction of the hotdogs did you and your friend eat?
Sonia has three bracelets. she wears them all at the same time but in a diffrient order each day how many diffrent bracelet combinations dose sonia have to chose from?
Find two consecutive positive even integers whose product is 168
Classify the triangle formed by the given side lengths:
3, 4, 6
a. right triangle
b. acute triangle
c. obtuse triangle
d. not a triangle