If p=1 and q=4, evaluate the following expression:4q−p/p+q
Answer:
19
Step-by-step explanation:
This was done the normal way of multiplying and dividing first:
If p=1 and q=4, evaluate the following expression:
4q − p/p + q = ?
4(4) - 1/1 + 4 = 16 - 1 + 4 = 19
If you wanted to do the addition and subtraction first, the equation would have been:
(4q - p)/(p + q) = ?
(4(4) - 1)/(1 + 4) = 15/5 = 3
With the parentheses, the order of operations is done in the parentheses first.
A cube has a width of 6 cm. What is the volume of the cube?
Answer:
216 cm3
Step-by-step explanation:
The volume of a cube is side length cubed so
V = 6 * 6 * 6
V = 216 cm3
The measure of A is 75°, and the measure of B is 105°. What is the relationship of angles A and B?
Answer:
Supplementary Angles
Step-by-step explanation:
Its what they are, 2 angles that add up to 180°
Answer:
They are supplementary angles.
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°
105+75=180
AABC ~ADEF
F
21
D
B
N
28
E
C
Solve for N.
28 = ☆
N=[?]
Answer:
N = 3
Step-by-step explanation:
\( \frac{28}{4} = \frac{21}{N} \\ \\ 28N = 21 \times 4 \\ 28N = 84 \\ \\ N = \frac{84}{28} \\ \\ N = 3\)
I hope I helped you^_^
A large box of pencils contains 45 pencils. A small box of pencils contains 25 pencils.
How many more pencils are in 18 large boxes than in 18 small boxes?
180 pencils
360 pencils
450 pencils
810 pencils
Answer:
360 more pencils.
45x18=810 large pencils
25x18=450 small pencils
810-450+360
Step-by-step explanation:
</3 PureBeauty
Answer:
360
Step-by-step explanation:
So we do 45*18 for the large boxes which is 810 and 25*18 for the small boxes which is 450 so now we subtract 450 from 810 which is 360!
1. ) Alexa’s apple-grape juice has 5 ounces of apple juice for every 4 ounces of grape juice. How many ounces of apple juice are in a batch with 10 ounces of grape juice?
There are 12.5 ounces of apple juice in a batch with 10 ounces of grape juice.
If there are 5 ounces of apple juice for every 4 ounces of grape juice, then the ratio of apple juice to grape juice is 5 : 4. Therefore to find out how much apple juice is in a batch with 10 ounces of grape juice, we need to set up a proportion:
5/4 = x/10Cross-multiplying we get:
4x = 50Dividing both sides by 4 we get:
x = 12.5Therefore there are 12.5 ounces of apple juice in a batch with 10 ounces of grape juice.
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Which measurements could create more than one triangle?
A. A triangle with sides measuring 2 cm and 5 cm and an included
angle measuring 35°
B. A jejangle with sides measuring 3 inches, 4 inches, and 5 inches
C. A triangle with sides measuring 5 inches and 7 inches and a
nonincluded angle measuring 25°
D. A triangle with sides measuring 1 inch, 4 inches, and 6 inches
Option C, a triangle with sides measuring 5 inches and 7 inches and a nonincluded angle measuring 25°, could create more than one triangle.
1. Since the given angle (25°) is a nonincluded angle, it means that it is not between the given side lengths (5 inches and 7 inches).
2. To form more than one triangle, we will use the Law of Sines, which states that the ratio of the length of a side to the sine of the angle opposite that side is the same for all three sides of a triangle.
3. Let's call the given sides a (5 inches) and b (7 inches), and the given angle A (25°). We need to find an angle B (opposite side b) that would lead to two different values of side c.
4. Using the Law of Sines:
a/sin(A) = b/sin(B)
5. Plug in the values and solve for sin(B):
5/sin(25°) = 7/sin(B)
6. Rearrange the equation:
sin(B) = 7*sin(25°)/5 ≈ 0.5736
7. Find the angle B by taking the inverse sine (arcsin) of 0.5736:
B ≈ 35.08°
8. Now, since the sum of the angles in a triangle must be 180°, we can find another angle B' such that B' + B < 180° - A (to ensure that angle C also exists):
B' = 180° - 25° - 35.08° ≈ 119.92°
9. With two different angles B (35.08° and 119.92°), we can create two distinct triangles using the given side lengths and the nonincluded angle.
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At Fiona's Flavors, you can make 792 different five-scoop bowls of ice cream. How many
different five-scoop
ice cream cones can you make?
Translate the sentence into an inequality.
The sum of 3 and c is less than -29.
Answer:
3+c < -29 or c+3 < -29 because of communitive property
Step-by-step explanation:
First, the sum means addition, you could write 3+c or c+3 because addition is communitive property.
Then the sum is less than -29 so we need to use the less than symbol which is this symbol: <
Now write the inequality! 3+c < -29
Answer:
3 + c < -29
Step-by-step explanation:
3 + c < -29 from "The sum of 3 and c is less than -29."
3 + c < -29 from "The sum of 3 and c is less than -29."
3 + c < -29 from "The sum of 3 and c is less than -29."
help please the picture is here when you click here
a. By the distributive property, 3x + 7x = (3+7)x = 10x, so this is always true.
b. By the distributive property, 5x-10x = (5-10)x = -5x, which is not necessarily equal to 5x (if you let x equal any value other than zero, you will see that this does not hold).
c. 4(1 + 2x) - 3x is equal to (4 + 8x) - 3x (by the distributive property), which is equal to 4 + 5x. This is equal to 5x + 4 since addition is commutative.
d. 5 - 3(2 - 4x) = 5 - (6 - 12x) = -1 + 12x, so this does hold for all values of x.
Please help.
Algebra.
Answer:
(0,2)
Step-by-step explanation:
M= the y intersect
Y= 2 units up
(X,Y)
If the value at the 55th percentile of the distribution of WINS over the 44 seasons equals 23.5, by how many WINS can one occurrence of the maximum value for WINS be reduced, yet still NOT change the value at the 55th percentile (holding all other values constant)
To determine the number of WINS by which one occurrence of the maximum value can be reduced without changing the value at the 55th percentile.
We need to find the maximum value in the dataset and evaluate its impact on the percentile.
Let's assume the maximum value for WINS is X. To maintain the value at the 55th percentile (23.5), we need to find the threshold value below which the dataset will not be affected by reducing the maximum value.
We can start by arranging the data in ascending order and finding the value at the 55th percentile. Since we have 44 seasons, the 55th percentile would be approximately at the (55/100) * 44 = 24.2nd value.
Now, we compare the value at the 24th position and the value at the 25th position in the dataset. If both of these values are below 23.5, reducing the maximum value by any amount will not change the value at the 55th percentile.
For example, if the value at the 24th position is 23 and the value at the 25th position is 24, reducing the maximum value by any amount will still keep the 55th percentile at 23.5.
However, if either the value at the 24th position or the value at the 25th position (or both) is 23.5 or higher, reducing the maximum value will impact the 55th percentile.
Therefore, to accurately determine the number of WINS by which one occurrence of the maximum value can be reduced without changing the value at the 55th percentile, we need to know the specific values at the 24th and 25th positions in the dataset.
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Find the inverse Laplace transform L−1{F(s)} of the given function. F(s)=6s+18/s2+6s+34
The inverse Laplace transform of the given function F(s) is:
L-1{F(s)} = 6e-3t - 2e-6tTo know more about inverse Laplace transform refer here:
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write the polynomial in standard form then name the polynpmial based on its degree and number of terms6 -12x 13x^2 - 4x^2
This polynomial has three terms and the highest power of x is 2, so it is a trinomial of degree 2, also known as a quadratic polynomial.
13x² - 4x² = 9x²
So the polynomial becomes:
6 - 12x + 9x²
A polynomial is a mathematical expression consisting of variables and coefficients, which are combined using arithmetic operations like addition, subtraction, multiplication, and non-negative integer exponents. The term "poly" means "many" and "nomial" means "term" or "monomial," which gives us the idea that a polynomial consists of many terms.
For example, the polynomial 3x² + 4x - 5 has three terms: 3x, 4x, and -5. The variable x is raised to different powers in each term, and each term is multiplied by a coefficient (3, 4, and -5 in this case). Polynomials can be used to model a wide range of phenomena, from physics to economics. They are used in calculus to represent curves and surfaces, and in algebra to solve equations.
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this is the question
Answer:
A
Step-by-step explanation:
As the hours increase by 1, the distance traveled increases by 50.
Answer: answer is A
Step-by-step explanation:
Both sides increase.
The hours go by one and the distance goes by 50
Which of the following code blocks are used to report that a newborn is affected by maternal factors and by complications of pregnancy, labor and delivery?
a. P90-96
b. P00-P04
c. P10-P15
d. P50-P61
Based on the International Classification of Diseases, 10th Revision (ICD-10), the correct code block to report that a newborn is affected by maternal factors and complications of pregnancy, labor, and delivery is:
b. P00-P04
The code block P00-P04 specifically pertains to Newborn affected by maternal factors and by complications of pregnancy, labor, and delivery. This code block includes various conditions and complications that can arise during the perinatal period related to the maternal factors and the process of pregnancy, labor, and delivery. These codes are used to document and classify specific conditions or complications affecting the newborn that are attributable to maternal factors and the events surrounding childbirth.
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What is the base 10 representation of the number 1203⁵? OA) 128 OB) 178 O C) 324 OD) 476
Answer:
B. 178
Step-by-step explanation:
1203∨(5) = 178
Answer:
B) 178
Hope this help ^v^
You have to write an equation then solve.
a bicycle odometer is designed for 27 wheels. what happens if you use it on a bicycle with 24 wheels?
The second wheel has a smaller circumference compared to the first wheel. The second wheel completes a revolution when the wheel turns 75.40 inches, but the odometer reads 84.82 inches.
There are two types of odometers
one mechanical and the other digital.In the case of a mechanical odometer, the worm gear is used to make the gear train, and the overall gear ratio is 1690:1, which means that when the vehicle travels a distance of 1 mile, the mechanical odometer input shaft makes 1690 revolutions during this time. In the case of a digital odometer, a magnetic sensor is used to receive pulses, each of which counts as one revolution. We now have a bicycle odometer designed for 27 wheels. Thus, d₁ = 27 inches is the diameter of the first wheel
d₂= 24 inches is the diameter of the second wheel
The odometer is the distance traveled by the vehicle, given as the number of revolutions of the wheel multiplied by the circumference of the wheel. So for the first wheel, Therefore, in case of first
wheel, \(C_1 = πd_1 \)
= π × 27
= 84.82 inches
In case of second wheel,
\(C_2 = π × d_2\)
= π × 24 inches
= 75.40 inches
So, \(C_1 - C_2 = \) 84.82 inches - 75.40 inches
= 9.42 inches
So we can see that the second wheel has circumference is less as compared to the first wheel.
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Complete question:
bicycle odometer is designed for 27 wheels. what happens if you use it on a bicycle with 24 wheels?
How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?
One of the rows in Harry’s table does not have the same ratio as the other rows.
Conversion Chart
Gallons
Cups
Row 1
2
32
Row 2
5
80
Row 3
9
134
Row 4
12
192
Which row does not have the same ratio as the others?
I need this answer quick will mark brainliest
Answer:
Person above me is right!^^^^^^^^^^^
Step-by-step explanation:
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
Answer:
The mean would decrease.
Step-by-step explanation:
Without the outlier, the mean decreases. The median stays the same with or without the outlier.
why are marcel’s and stephanie’s taxable incomes less than their annual salaries?
The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.
These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.
Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.
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Complete Question:
Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.
The product of¾ xy and 3/4is ____________.
Answer:
9/16xy
Step-by-step explanation:
Multiply through by 3/4
(3/4xy) × (3/4)
numerator =(3×3) = 9
denominator = (4×4) = 16
Simplifying = 9/16xy
I will give brainlist!
-8/13 x 26/-3 = -208/-39 = 16/3.
16/3, D
Answer:
D. (16/3)
Step-by-step explanation:
-8 26
------- × -------
13 -3
Multiply the top and the bottom together.
--------------------------------
-8 x 26 = -208
13 x -3 = -39
---------------------------------
-8 26 -208
------- × ------- = --------
13 -3 -39
Simply the fraction
-208 ÷ 13 -16
------------ = ----------
-39 ÷ 13 -3
Cancel out the negatives
-16 16
------- = -------
-3 3
I hope this helps!
What’s 7/12+1/3 in fractions show your work
Answer: 7/12 + 1/3 is 11/12
Step-by-step explanation: Get a common denominator. On 1/3, multiply 3 and 1 by 4. The makes 4/12. Then, you can add 7/12 and 4/12.
7/12+1/3 in fractions is 11/12.
What is Fraction?A fraction represents a part of a whole.
We have to find the value of 7/12+1/3
We have to find the LCM of denominators 12 and 3.
The LCM of 12 and 3 is 12
7+4/12
Seven plus four is eleven
11/12
Hence, 7/12+1/3 in fractions is 11/12.
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Joseph removes 58 gallon of white paint from a can. Then he adds 58 gallon of blue paint to the can.
Write and then evaluate a subtraction expression to find the overall increase or decrease in the amount of paint in the can.
The total amount of paint in the can will remain the same.
What is an expression?An expression is a combination of numbers, variables, and functions such as addition, subtraction, multiplication, or division.
We have,
The total amount of white paint in the Can can be assumed as 100x gallon.
If we remove 58 gallons of the white paint from the Can:
= 100x - 58
Now again adds 58 gallons of blue paint:
= 100x - 58 + 58
= 100x
Thus the total amount of paint in the Can will remain the same.
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After 8 minutes, a vessel had descended 640
feet. What was the change in elevation of the
vessel each minute?
Answer:
80
Step-by-step explanation:
It's super simple if after 8 minutes a vessel had descended 640 feet the change in the elevation of the vessel was 80ft each minute. Hope this helps :)
Answer:
80 feet per minute
Step-by-step explanation:
28x 7/12 I'm not sure if I get a mixed number or a whole number but I still do not know!
Answer:
16.3333333333
Step-by-step explanation:
happy to help ya :)
Write the linear equation that gives the rule for this table.
x y
1 10
2 5
3 0
4 –5
Write your answer as an equation with y first, followed by an equal's sign.
The linear equation that gives the rule for this table is y = -5x + 15
How to determine the linear equation?The table of values is given as:
x y
1 10
2 5
3 0
4 –5
On the above table, we can see that:
As x increases by 1, the value of y decreases by 5
This means that the slope is
Slope = -5
Also, the above table can be modified as follows (using the slope of -5)
x y
0 15
1 10
2 5
3 0
4 –5
This means that the y-intercept is
y-intercept = 15
A linear equation is represented as
y = slope * x + y-intercept
So, we have
y = -5x + 15
So, the equarion is y = -5x + 15
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