A textbook store sold a combined total of 471 math and sociology textbooks in a week. The number of sociology textbooks sold was 63 less than the number of math textbooks sold. How many textbooks of each type were sold?
Answer:
The math books are 267The sociology books are 204Step-by-step explanation:
The steps are in the photo above
I hope that is useful for you :)
The height of a cylindrical vase is 11 inches as shown below. The base of the cylinder has a diameter of 4½ inches. Which measurement is closest to the volume of the cylinder in cubic inches? * 34 points 1,710.6 cubic inches 155.51 cubic inches 699.79 cubic inches 174.95 cubic inches
Answer:
174.95
Step-by-step explanation:
Volume=πr^2h
3.142 * (4.5÷2)^2 *11
=174.95
PLSSS HELP IMMEDIATELY!!!! i’ll mark brainiest if u don’t leave a link!
Answer:
A
Step-by-step explanation:
Answer: I would say it's B
Step-by-step explanation: The reason is because whiskers are primary to have, Sharp claws is a tool for animals to get food, and large beaks are used to pick at the food so they don't eat the wrong things.
What is the value of s?
_____units
Answer:
17
Step-by-step explanation:
by Pythagoras
[tex]8 {}^{2} + 15 {}^{2} = {x}^{2} [/tex]
x=17
Leo has a rectangular garden with a perimeter of 40 feet. The width of the garden is 8 feet. What is the length of the garden?
Answer:
5 feet
Step-by-step explanation:
A construction company produces two products (doors and windows) that require two plants (A and B). Management wants to determine how many units of each product should be produced to maximize profit. For each unit of Product 1 (i.E. Door), 2 workers are required in Plant A and 4 workers are required in Plant B. For each unit of Product 2 (i.E. Window), 3 workers are required in Plant A and 4 workers are required in plant B. The company has 40 workers in Plant A and 60 workers in Plant B. Each unit of Product 1 gives a profit of $100. Each unit of Product 2, up to 10 units, gives a profit of $80. Any excess over 10 units of Product 2 brings no profit; so, such excess has to be ruled out.
Answer:
Z max = 1500
x₁ = 15
x₂ = 0
Step-by-step explanation:
From problem statement:
Plant A Plant B Profit $/each
Product 1 (Doors ) x₁ 2 4 100
Product 2 (windows ) x₂ 3 4 80
Product 2 (windows ) x₂ above 10 is scrap
Objective function to maximize
z = 100*x₁ + 80*x₂
Subject to:
Plant A capacity
2*x₁ + 3*x₂ ≤ 40
Plant B capacity
4*x₁ + 4*x₂ ≤ 60
Windows condition:
0*x₁ + x₂ ≤ 10
Model:
Max z = 100*x₁ + 80*x₂
Subject to:
2*x₁ + 3*x₂ ≤ 40
4*x₁ + 4*x₂ ≤ 60
x₂ ≤ 10
x₁ , x₂ ≥ 0 and integers
Afther 6 iterations using Simplex Solver AtomZmath
Z max = 1500
x₁ = 15
x₂ = 0
Help me with this plsss
1.
a. 8 x 7 x 1/2 = 56 x 1/2 = 28
b. 24 x 14 x 1/2 = 336 x 1/2 = 168
c. 5 x 12 x 1/2 = 60 x 1/2 = 30
d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6
2.
two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32
rectangle: 15 x 8 = 120
total area: 32 + 120 = 152
At what number of days will the cost of attendance be the same for both preschools?
Answer:
Forgot the pic ?
Step-by-step explanation:
Find the surface area of the prism. Whoever solves this will guarantee get Brainliest Answer!!!
To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
Hope this helps!
An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?
Answer:
17 ft
Step-by-step explanation:
An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?
We solve the above question using the Trigonometric function of Sine
sine theta = Opposite/Hypotenuse
theta = Angle of elevation = 70°
Hypotenuse =Length of the ladder = 18ft
Opposite = Height of the wall = x
Therefore
sin 70 = x/ 18 ft
Cross Multiply
x = sin 70 × 18 ft
x = 16.914467174 ft
Approximately = 17 ft
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
26 degrees
Step-by-step explanation:
180 - 48 = 132 - 106 = 26
this one should work
Answer: x = 106°
Step-by-step explanation:
106° + 48° + x° = 180°
154 + x = 180
x = 106°
estimate each product 49.2×10.3
Marcus changed jobs after college. His old salary was $48000 per year. Now his new salary is 37% more per year. What is his new salary?
Answer:
65,760
Step-by-step explanation:
move decimal over two places to make a percent a decimal so .37
then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760
Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)
Answer:
x ≈ 9.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle, that is
x² + 14² = 17²
x² + 196 = 289 ( subtract 196 from both sides )
x² = 93 ( take the square root of both sides )
x = [tex]\sqrt{93}[/tex] ≈ 9.6 (to the nearest tenth )
The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A)6 people
B)7 people
C)8 people
D)9 people
HELP ASAP ILL GIVE BRAINLIEST
Answer:
B. 7 people
Step-by-step explanation:
If you multiply 8x16 you get: 128. Then you subtract 135 from 128 and get: 7. Therefore, 7 people will not be able to go if they only rent 16 minivans.
Gary is 4 years less than three times his brothers age, \displaystyle bb. The sum of Gary and his brothers' age is 52. Write an equation to represent this relaitonship.
(PLS HELP ME WITH THAT QUESTION! IF YOU HELP ME I GIVE YOU BRAINLIEST I SWEAR)
Mark each! Of the following equations as true or false. Explain or showing your reasoning!
Answer:
False
True
True
Step-by-step explanation:
Multiplying add exponents
Divide subtract exponents
Exponent multiply exponents
The statement and reason for each equation is written below:
False (Multiplication law and exponential law)True (Multiplication law and exponential law)True (division law and exponential law)Meaning of Multiplication and division lawMultiplication law is a law of indices that governs the multiplication of variable. if they are of the same base they add up their powers.
Division law is also a law of indices that governs division of variables, and it states that for every division the bases are equal we subtract their powers
In conclusion, The statement and reason for each equation is written above.
Learn more about Multiplication and division law :https://brainly.com/question/1129236
On their first dive researchers Explorer part of the ocean that is 60 ft below sea level is that can be responded by the integer on their first dive researchers Explorer part of the ocean that is 60 ft below sea level is that can be responded by the integer 60 on their second dive research to explore a deeper depth
Complete question :
On their first dive, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their second dive, researchers explore a deeper depth. Write an inequality that represents the possible depth, d, of the researchers' second dive.
Answer:
d < - 60
Step-by-step explanation:
Depth explored during first dive = 60 feets below sea level = - 60 feets
The depth, d explored during second dive is deeper Than that explored during first dive
The inequality representing depth on second,
This means they the depth exceeds 60 feets below sea level. And hence. Deeper than - 60
Therefore, the depth will be values less Than - 60
Hence, d < - 60
I need help plzzz
-6p + 19 > 7
Answer:
p < 2
Step-by-step explanation:
hope this is right and have a good day
Please help I really need it, I don’t know what to do
Answer:
i think it is b
Step-by-step explanation:
$17.99 with an 11.25% tax
Answer:
it's 2.0
hope that helps
Please help!!! I’ll mark you as brainliest!!!!!!
0.138613961 as a percent rounded to the nearest tenth
Answer:
13.9%
Step-by-step explanation :
Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.
0.138613961 ------ when multiplying by 100 you move two spots the decimal point: 13.8613961 %
The tenth digit is 8 the number after that is 6
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.
6 is greater than 5 so we add 1 to 8 and becomes 9
If the digit after the tenth was 4 instead 6, for example,then it would be 13.8%
Find the distance between the two points (-4,1) (4,5)
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answer:
the yield is 7.68%
Step-by-step explanation:
The calculation of the yield is given below:
we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
Here we divide the annual dividend by the price per share in order to determine the yield
hence, the yield is 7.68%
And, the same would be considered
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
For more information about compound interest
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Someone help me with this its in the picture!!!
Answer:
JK < KI < IJ
Step-by-step explanation:
The length of the side of a rectangle corresponds with the size of the angle opposite it.
m<K = 180 - (50 + 44) (sum of triangle)
m<K = 86°
IJ is opposite m<K = 86°
JK is opposite to m<1 = 44°
KI is opposite to m<J = 50°
The bigger the measure of an angle, the larger the side opposite it.
Therefore, form least to greatest, the side lengths of the triangle cam be ordered as follows:
JK < KI < IJ
These box plots show daily low temperatures for a sample of days in two different towns
Answer:
A. The median for town A, 30 degrees, is less than the median for town B, 40 degrees.
Step-by-step explanation:
If you need 4 eggs to make 12 Yorkshire puddings. How many do you need to make 18
Yorkshire puddings?
Answer:
54
Step-by-step explanation:
First of all,
Cross multiplication
4 = 12
18 = x
Let the value of the number of eggs be represented by x
4x = 12×18
4x = 216
4. 4
(Same as 216÷4)
x = 54
Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What is her weekly allowance (W) if she ended up with $16? The variable should always go in the first term
Answer:
who mows the lawn for 7 dollars :/
Step-by-step explanation:
2. You were 22 inches tall at birth, and 48 inches tall on your 8th birthday.
2a) On average, how many inches did you grow per year? (Hint: in 8 years 2 points
you grow a total of 26 inches) include units!!
Answer:
3.25
Step-by-step explanation:because you have to divide the years with the inches so in each year i would grow about 3.25 inches