643=4×160+n in a related division form
What is 3/8 written as a decimal
2 times as much as 4 is
The answer is 8.
To solve the given mathematical question, we need to calculate twice as much as the number 4. The phrase 2 times as much as indicates multiplication by 2. Therefore, we multiply the number 4 by 2 to find the result.
Mathematically, this can be represented as:
[tex]\[ 2 \times 4 = 8 \][/tex]
So, 2 times as much as 4 is 8.
Solumedrol 1.5 mg/kg is ordered for a child weighing 50 lb. Solumedrol is available as 75 mg / 1 mL is available. How many mL must the nurse administer?
An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. Which of the following is a correct cost?
A. C(t) = 95 for 1 < x ≤ 2
B. C(t) = 95 for 2 < x ≤ 3
C. C(t) = 120 for 2 < x ≤ 3
D. C(t) = 120 for 4 < x ≤ 5
how do you evaluate the expression |4/13|
Which transformation would change the point (5,3) into (-5,3)?
(hard.) in a certain psychology experiment, each subject is presented with three ordinary playing cards, face down. the subject takes one of these cards. the subject also takes one card at random from a separate, full deck of playing cards. if the two cards are from the same suit, the subject wins a prize. what is the chance of winning
Evaluate. Write in simplest form.
6 - b for a = 10, b = –9
--------
3a
A.1/2
B.-/310
C.1/10
D. 2 HELP ME BROS
You own a house cleaning business. It takes you 2hours and 45 minutes to clean a house. You have 3 houses to clean tomorrow, how long would it take you to clean all three houses?
y = 5x – 1
–15x – 3y = 3
How many solutions does this linear system have?
one solution: (0, –1)
one solution: (1, 4)
no solution
infinite number of solutions
y = 5x - 1...so we sub 5x - 1 in for y in the other equation
-15x - 3y = 3
-15x - 3(5x - 1) = 3
-15x - 15x + 3 = 3
-30x = 3 - 3
-30x = 0
x = 0
y = 5x - 1
y = 5(0) - 1
y = -1
it has one solution (0,-1) <=
I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numbers be?
At age 45, an elephant grows teeth, each weighing 4 kg. About how many pounds do these teeth weigh? Use the conversion factor 1 kg = 2.2046 lbs. Round to the nearest tenth where necessary.
Two bags had 100 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?
When two parallel lines are cut by a transversal, angles A and B are alternate interior angles that each measure 105°. What is the measure of each of the other alternate interior angles?
75°
90°
105°
180°
The measure of each of the other alternate interior angles is; 75°
How to find the Alternate Interior Angle?We know that according to Angle theorems, two adjacent alternate interior angles make up a straight line. Sum of angles on a straight line equals 180°.
Thus, if the measure of the other interior angle is x, then we have;
x + 105 = 180
x = 180 - 105
x = 75°
The measure of the other alternate angles is 75°.
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The relationship 1/sin(θ) is equivalent to which of the following trigonometric functions?
A. cot(θ)
B. csc(θ)
C. arcsin(θ)
D. sec(θ)
Answer:
Option B is the correct answer.
Step-by-step explanation:
We have the following trigonometric relations
[tex]cosec\theta =\frac{1}{sin\theta }\\\\sec\theta =\frac{1}{cos\theta }\\\\cot\theta =\frac{1}{tan\theta }\\\\cot\theta =\frac{cos\theta}{sin\theta }\\\\tan\theta =\frac{sin\theta}{cos\theta }[/tex]
Here cosec θ is the correct answer.
Option B is the correct answer.
An ice cream company made a profit of $24,000 in 2011. The same company had a loss of $11,000 in 2012. What is the difference between the company's financial results for 2011 and 2012
The required difference in the financial result is $13000.
given that,
An ice cream company made a profit of $24,000 in 2011. The same company had a loss of $11,000 in 2012. What is the difference between the company's financial results for 2011 and 2012 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,
In the year 2011, an ice cream company made a profit of $24,000
in the year 2012, the same company had a loss of $11,000.
Difference in the result = 24000 - 11000 = $13,000
Thus, the required difference in the financial result is $13000.
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40 miles x 25 min.=?mph
Trevor earns $7.80 an hour take home pay and works 20 hours each week. Trevor wants to buy a new laptop computer to take to college that costs $780. How many weeks will it take for Trevor to achieve his goal?
Answer: 5 weeks
Step-by-step explanation:
You have to bake a lot of brownies for your 6th-grade fundraiser! Although you have plenty of flour, cocoa, milk, and oil, you only have 8 1/2 sticks of butter. You need to know how many batches you can make, based upon your limited amount of butter. You can cook partial batches to use up every bit of butter and make the most brownies possible. Each batch needs 3/4 of a stick of butter. 4 How many batches of brownies can you bake? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
11 1/3 is the answer
How many ways are there to pick a starting five from a basketball team of twelve members
Answer:
95040
Step-by-step explanation:
Given : There are 12 members in basketball team.
To Find: How many ways are there to pick a starting five from a basketball team of twelve members
Solution:
Since we are asked to find no. of ways are there to pick a starting five from a basketball team of twelve members
So, we will use permutation over here.
Formula: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex]
n = 12
r = 5
Substitute the value sin the formula .
[tex]^{12}P_5=\frac{12!}{(12-5)!}[/tex]
[tex]^{12}P_5=\frac{12!}{(7)!}[/tex]
[tex]^{12}P_5=\frac{12 \times 11\times 10 \times 9\times 8 \times 7!}{7!}[/tex]
[tex]^{12}P_5=12 \times 11\times 10 \times 9\times 8[/tex]
[tex]^{12}P_5=95040[/tex]
Hence there are 95040 ways to pick a starting five from a basketball team of twelve members.
There are 95040 different ways to pick a starting five from a basketball team of twelve.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, The no. of ways to pick a starting five from a basketball team of twelve members.
As stated pick a starting five we'll use permutation.
∴ The no. of ways to pick a starting five from a basketball team of twelve members is [tex]^{12}P_5[/tex].
= 12!/(12 - 5)!.
= 12!/7!.
= 12×11×10×9×8.
= 95040 different ways.
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Simplify the expression
- 3/6 - 5/7
can you show me how?
1meter =1x10^9 in sicentific notation
The product of 5 and a number x is 14 . What is the value of x?
x=194
x=120
x=54
x=434
The GCF of two different numbers is greater than the LCM of the numbers
A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown in the table. Write an explicit formula that represents the sequence using function notation. Find the slope of the line that passes through the points given in the table. The slope is
Answer:
Find the slope of the line that passes through the points given in the table. The slope is
✔ 5
.
Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is
✔ 1
.
Write the formula as a function of n in slope-intercept form. The function is
✔ f(n) = 5n+ 1
for n in the set of natural numbers.
find the solution of
2x - 2y = -20 and -2x + 4y = 14
The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.
a. Write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights. Use x
as the variable.
The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.
a. Write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights. Use x
as the variable.
Answer:
The required absolute equation is: |x-430|=20
The minimum and maximum acceptable soccer ball weights is 410 grams and 450 grams respectively.
Step-by-step explanation:
Consider the provided information.
The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.
Let x is the actual weight of the soccer ball.
The difference of actual weight and recommended weight can vary by 20 grams.
Thus, the required absolute equation is:
|x-430|=20
x-430=20 or x-430=-20
x=450 or x=410
The minimum and maximum acceptable soccer ball weights is 410 grams and 450 grams respectively.
the some of two consecutive even integers is 170. find the two integers.
The required value of integers are 84 and 86 respectively.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
Suppose the first even integer be x.
Then, the second even integer is x + 2.
Since the sum is given as 170, the following equation can be formed as,
x + x + 2 = 170
⇒ 2x + 2 = 170
⇒ 2x = 168
⇒ x = 84
Then, the other integer is 84 + 2 = 86.
Hence, the two integers for the given case are 84 and 86 respectively.
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To decrease an amount by 7%, what single multiplier should you use?