Ivan can type 54 words in 3 minutes. At this rate, how many words can he type in 10 minutes?
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w where h is the number of hours worked and w is the number of wagons sold. What is the amount paid to an employee that works 6 hours and sells 3 wagons?
What is the integer of the square root of 70?
At a baseball game, a vender sold a combined total of 123 sodas and hot dogs. The number of hot dogs sold was 53 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Diana received $35 worth in Starbucks gift cards for Christmas her favorite drink caramel macchiato costs about $4:00 help diana keep track of the balance left in her gift cards each time she buys a drink how many caramel macchiato will she be able to buy with her gift cards?
Diana can buy a total of 8 caramel macchiatos with her $35 Starbucks gift cards, and she will have a remaining balance of $3.
To help Diana keep track of the balance on her Starbucks gift cards after purchasing her favorite drink, the caramel macchiato, we need to perform a series of simple subtractions. She starts with a $35 balance, and each caramel macchiato costs $4.00.
After buying the first caramel macchiato, the new balance is $35 - $4.00 = $31.
After the second purchase, $31 - $4.00 = $27.
This process continues until the balance is less than the cost of a caramel macchiato.
To find out how many drinks she can purchase in total, we divide the initial balance by the cost of one caramel macchiato:
$35 / $4.00 = 8.75
Since she cannot buy a fraction of a drink, Diana can buy a total of 8 caramel macchiatos with her gift cards and will have a remaining balance of $3, which is not enough for another drink.
The scale of a map is 1 in. :500 mile. City A is 650 miles from City B. How far is it's distance on the map?
You see a used car you wish to buy. The dealer quotes you a price of $11,550. You have a blue book quotation of $8,400 for the same model and year. How much markup on cost is the dealer using?
Answer:
37.5%
Step-by-step explanation:
We have been given that the dealer quotes you price of a car $11,550. You have a blue book quotation of $8,400 for the same model and year.
First of all, we will subtract the blue book quotation price from the price quoted by dealer to get the amount of markup.
[tex]\text{Mark-up}=\$11,550-\$8,400[/tex]
[tex]\text{Mark-up}=\$3,150[/tex]
Now, we will find $3,150 is what percent of $8,400.
[tex]\text{Mark-up percent}=\frac{\$3150}{\$8400}\times 100[/tex]
[tex]\text{Mark-up percent}=0.375\times 100[/tex]
[tex]\text{Mark-up percent}=37.5\%[/tex]
Therefore, the dealer is using 37.5% of markup on the cost.
Alex wants to put a fence around his garden. It is square and has an area of 196 square feet. He wants to put a post in each corner, and every 7 feet. How may posts and how may feet of fencing does he need?
Diego says that the product of 0.51 * 2.427 will have have five decimal places. is Diego correct? Explain
An expression to convert 50 miles per hour to miles per minute is shown.
What value can be entered in the box to correctly make this conversion?
Answer:
x = 60
Step-by-step explanation:
We have to convert 50 miles per hour to miles per minute.
1 hour = 60 minutes
Comparing with the given expression, we get
x = 60
I don’t 100% remember how to turn this into a standard problem.. could someone help me really quick?
Why is the completely factored form X^4+8x^2-9
Are you smart enough to answer this??
At 12 noon in anchorage Alaska Janice noticed that the temperature outside was 12
f. The temperature dropped at a steady rate of 2 F per hour.
is 70 thousand written in a standard form or a word form? explain
Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
divide distance by time
75 /30 = 2.5 meters per second
I cant seem to figure out this question? someone please help me please
h is measured in miles so you need to convert 1135ft to miles
1 mile = 5280 feet
so 1135/5280 = 0.21496 miles
D = sqrt(2(3960)(0.21496) + 0.21496^2)
D = sqrt(1702.4832 + 0.046207801)
D = sqrt(1702.529408
D = 41.2617 miles round answer as needed
During the first day of a heat wave and emergency room had three times as many patients as the day before they were 48 patients seen total over there today. How many patients visited the ER on each day
What the simplified form of x- 1 +4+7x-3
Find the principal amount invested if the amount in a monthly compounded account with a 5.1% interest rate is $9,996.32 after 54 months.
Which expression is equal 3(5+6) ?
a. 15+6
b. 5+18
c. 15+18
d. 3+11
please explain
Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(−2).
Answer:
The value of (g ∘ f)(-2) is 1
Step-by-step explanation:
Given two functions
[tex]f(x)=x^2, g(x)=x-3[/tex]
we have to evaluate (g ∘ f)(-2).
As, (g ∘ f)(-2)=g(f(x))
[tex]g(f(x))=g(x^2)[/tex]
As g(x)=x-3
[tex]g(x^2)=x^2-3[/tex]
Therefore,
[tex](g o f)(x)=x^2-3[/tex]
To find the value of (g ∘ f)(-2), we have to substitute x=-2
[tex](g o f)(-2)=(-2)^2-3=4-3=1[/tex]
Hence, the value of (g ∘ f)(-2) is 1
Do even numbers have more factors in odd numbers or do i numbers have more factors than even numbers
Final answer:
Whether even or odd numbers have more factors depends on the specific properties of each number, such as its prime factor composition, rather than on the binary classification of being even or odd.
Explanation:
The question of whether even numbers have more factors than odd numbers or vice versa does not have a straightforward answer, as it varies from number to number. In general, the quantity of factors a number has depends more on the specific properties of that number, such as its composition of prime factors, rather than simply on whether it is odd or even. For example, a number like 2 (which is even) has only two factors (1 and itself), while an odd number like 9 has three factors (1, 3, and 9). Similarly, an even number such as 12 has more factors (1, 2, 3, 4, 6, and 12) than many other even and odd numbers. Therefore, the distinction between even and odd in terms of number of factors is not particularly meaningful without considering the specific characteristics of individual numbers.
The volume of a cone varies jointly as the square of its radius and its height. if the volume of a cone is 99piπ cubic inches when the radius is 3 inchesinches and the height is 3 inches, find the volume of a cone when the radius is 4 inchesinches and the height is 9 inches.
On the first of three tests sally scored 75 points. on the third test her score was one point more than the second test her average on the three test was 82 what were her scores on the second and third test
In which number is the digit 4 one hundred times larger than the value of 4 in the number 41?
A) 435
B) 540
C) 4,350
D) 9,400
Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university, however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
Sammie bought just enough fencing to border either a rectangular plot or a square plot, as shown. The perimeters of the plots are the same.How many meters of fencing did she buy?
The fencing purchased by Sammie corresponds to the perimeter of either a square or rectangular plot. The perimeters of both these shapes are equal. Therefore, the amount of fencing purchased is equivalent to the perimeter calculated using either of these shapes' formulas.
Explanation:This question is about the concept of perimeter in mathematics. Perimeter is the distance around the border of a shape. In this case, the shapes in question are a square and a rectangle. Because the question states that Sammie has enough fencing for either shape and that the perimeters are the same, we can infer that she bought a length of fencing equivalent to the perimeter of either shape.
Let's take a look at how we calculate perimeter:
For a square, the perimeter (P) is calculated by multiplying the length of one side (s) by 4. So, P = 4s.For a rectangle, the perimeter is calculated by adding twice the width (w) and twice the length (l) of the rectangle. So, P = 2l + 2w.In this scenario, even without specific numerical information, because the perimeters for both shapes are equal, it means that the fencing purchased would correspond to the same value obtained using either of these formulas.
Learn more about Perimeter here:https://brainly.com/question/31695951
If a data set has 16 data values, the number of values in the upper quartile is ?
Answer:
4
Step-by-step explanation:
Quartiles divide the data into 4 equal parts. So, each quartile will have 16/4= 4 values. Therefore, the number of values in the upper quartile is 4.
A scientist measures a substance to be 0.6 grams. Calculate the percent of error in the measurement. Show all work for full credit.