Answers
Answer:
33. $5.75
34. 15 ft
35. 8
36. 32
Step-by-step explanation:
These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.
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33.You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...
x = cost of a milk shakey = cost of a sundaeThe given relations have to do with the prices of different quantities of these:
2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes
4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes
These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).
2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)
4y = 23.00 . . . . . . simplify
y = 5.75 . . . . . . . . . divide both sides by 4
The cost of an ice cream sundae is $5.75.
We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.
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34.There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.
Volume of a cone of radius r and height h: V = 1/3πr²h
Volume of a cylinder of radius r and height h: V = πr²h
It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.
The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.
V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³
V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit
400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000
x = 2000(3/400) = 15 . . . . multiply by 3/400
The height of the top portion is 15 feet.
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35.This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.
We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.
The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:
|g(-6)| = |-8| = 8 = |g(a)|
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36.This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.
Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...
96x²/(ax) = 3x
Multiplying by ax gives ...
96x² = 3ax²
Dividing by 3x², we see that ...
(96x²)/(3x²) = (3ax²)/(3x²)
96/3 = a = 32
The value of 'a' is 32.
Related Questions
Help please.
A canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answers
Answer: 101°F
Step-by-step explanation: A canine's body temperature is considered to be normal if it is 101°F with an absolute deviation of 1.5°F. a) Write an absolute value inequality
Please helppppppppppppp
Answers
equilateral triangle
A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.
Answers
Answer:
The scuba diver is 27 feet below sea level.
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Hope this will assist you.
The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:
42/2 + 6 = X 21 + 6 = X 27 = X
Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
Learn more in https://brainly.com/question/14746652
help please i only have 10 mins left
a. parallel
b. perpendicular
c. neither
Answers
Answer:
they are perpendicular
Step-by-step explanation:
Good luckkkkkkkkkkkkkk
A rectangular field is four times as long as it is wide. If the perimeter of the field is 410 yards, what are the field's dimensions?
Answers
The length of the rectangular field is 164 yards and the width is 41 yards
From the question,
We are to determine the fields dimensions
From the given information
A rectangular field is four times as long as it is wide
That is
l = 4w -------- (1)
The perimeter of a rectangle is given by
P = 2(l + w)
Where
P is the perimeter
l is the length
and w is the width
From the given information
The perimeter of the field is 410 yards
∴ 2(l + w) = 410 ------ (2)
Substitute equation (1) into equation (2)
2(4w + w) = 410
2(5w) = 410
10w = 410
∴ w = 410 ÷ 10
w = 41 yards
Substitute the value of w into equation (1)
l = 4(41)
l = 164 yards
Hence, the length of the rectangular field is 164 yards and the width is 41 yards.
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In the number 78.018, how does the value of the 8 in the thousandths place compare to the value of the 8 in the ones place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 8 in the thousandths place is Response area the value of the 8 in the ones place.
Answers
Each digit the decimal place moves can be thought of as multiplying or dividing the original value by 10 (depending on which way it is moved)
Answer:
1/1000
Step-by-step explanation:
Please arrange these numbers in descending order for me
7.23, 7.32, 7.3, 73
Answers
Answer:
73
7.32
7.23
7.3
hope this helps☆☆
The points (0, 0) and (5, 10) lie in the graph of this linear function. Which equation represents the same linear function? A. B. x = 5 C. D. y = 2x
Answers
Answer: y = 2x, D.
Step-by-step explanation: We can calculate the slope of the line between these two points: Rise/Run:
Rise: (10-0)=10
Run: (5-0) = 5
Rise/Run = 10/5 = 2
The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).
The line between these two points is thus y=2x+0, or
y = 2x. Looks like D.
Answer:
D. y=2x
Step-by-step explanation:
0x2=0 and 5x2=10. That's really it, simple math
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answers
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
Solve for y.
62=y−58.8
Enter your answer in the box.
y =
Answers
Answer:
120.8
Step-by-step explanation:
The value of y from the given equation is 120.8.
The given equation is 62=y-58.8.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows
Add 58.8 on both the sides of an equation, that is
62+58.8=y-58.8+58.8
⇒ y=120.8
Hence, the value of y from the given equation is 120.8.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ3
Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?
Answers
Answer:
380 days
Step-by-step explanation:
38 × 1 = 38 38 × 6 = 228
38 × 2 = 76 38 × 7 = 266
38 × 3 = 114 38 × 8 = 304
38 × 4 = 152 38 × 9 = 342
38 × 5 = 190 38 × 10 = 380
20 × 1 = 20 20 × 6 = 120
20 × 2 = 40 20 × 7 = 140
20 × 3 = 60 20 × 8 = 160
20 × 4 = 80 20 × 9 = 180
20 × 5 = 100 20 × 10 = 200
20 x 10 = 200 20 x 20 = 400
so 20 x 19 = 380
First common number in both times table is 380
Danny deposited $500 into a savings account that earns 2% interest annually. How much
money will he have after 25 years?
Answers
Answer:
250
Step-by-step explanation:
1 year= 2% of 500 (10)
25 years= 25*10
250
Hope this helps!
x÷12;x=2/3 Help ASAP please.
Answers
Answer:
I think this is it 2/36=1/18
Step-by-step explanation:
if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.
2/3x1/12= 2/36
simplified 1/18
X=2/3, so plug in the X into x/12. Rewrite as (2/3)/12=1/18
Hopefully, this helps
What is the value of x? Enter your answer in the box. x =
Answers
Answer:
32
Step-by-step explanation:
The shape in image is an equilateral triangle which means all of it's angles has equal measurements:
2x - 4 = 5y and that is equal to 60 degrees
2x - 4 = 60 add 4 to both sides
2x = 64 divide both sides by 2
x = 32
x2-4x+6=0
Someone help with solve this
Answers
Answer:
0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)
What is the slope of this line?
•5
•1/5
•-5
•-1/5
quick please
Answers
Helpppppppppppppppppppp
Answers
Answer:
x = -5
Step-by-step explanation:
f(x) = [tex]\frac{x+5}{4}[/tex]
Okay, so in order to find the zeroes of the equation, we need to find the values of x for which f(x) = 0.
[tex]\frac{x+5}{4}[/tex] = 0
We can start by multiplying both sides by 4. Anything multiplied by 0 equals 0, so we have the following:
x + 5 = 0
Now, subtracting 5 from both sides in order to isolate x, we have:
x = -5
To check our work, let's substitute -5 into our equation:
f(-5) = [tex]\frac{-5+5}{4}[/tex] = [tex]\frac{0}{4}[/tex]
0 divided by anything equals 0, so f(-5) = 0.
Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?
Answers
Answer:
8 weeks
Step-by-step explanation:
Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.
First, we have to look at the difference which is 2. How many 1/4ths makes 2?
8.
Therefore, 8 weeks would be your answer.
-kiniwih426
16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?
Answers
Answer:
The smaller angle is 20 degrees.
Step-by-step explanation:
A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.
Say that the angles have 2x and 7x length:
2x+7x=90
9x=90
x=10
Hence the acute angles have degrees 2*10=20, 7*10=70.
The smaller angle is 20 degrees.
Hope this was helpful!
Jenny has three times as many new toys as she has favorite toys.
Answers
answer:
3x = y
step-by-step explanation:
૪・ i am inferring you have to create an equation?
・jenny have three times = 3x
・as her fav toys — 3x = y
・new toys = y
・fav toys = x
Someone please help me. I will give Brainliest. No links, please.
Answers
Answer:
SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent
two sets of congruent sides, a set of congruent angles between the sides
ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent
two sets of congruent angles, a set of congruent sides between the angles
AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent
two sets of congruent corresponding angles, a pair of congruent sides next to the angles
HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.
two congruent hypotenuses and two congruent legs of a right triangle
Step-by-step explanation:
Find the value for each variable.
Answers
the value of variable x is 55 answer ok . angle q is 35 p is 90
N and Q = 35
R= 55
5x-3y=30
7x-3y=36
elimantion method
Answers
Answer:
x = 3 and y = -5
Step-by-step explanation:
[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]
Hello! I need help with this
Answers
Answer:
y = -16.25
Step-by-step explanation:
[tex]26=-\frac{8}{5}y[/tex]
It can also be written as
[tex]26=\frac{-8y}{5}[/tex]
-8y = 26 * 5
-8y = 130
y = 130/-8 = - 65/4 = -16.25
Someone please help me with this cuz I didn't attend the class and didn't hear the teacher explain.
Answers
Answer:
-2x^2-2x-2
Step-by-step explanation:
C) -2x(x+2)-(3-2x)(x+2)
-2x^2-3x+2x-x-2
-2x^2-2x-2
Answer:
−3x−6
Step-by-step explanation:
-2x(x+2)-(3-2x)(x+2)
= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)
= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x
= -3x-6
Hopefully this helps!!
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find H(x+a) - H(x)/a
Answers
Answer:
Step-by-step explanation:
The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x
The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.
In this question
H( x) = x ^2
So if you see anything besides x on the left, then that's what goes on the right for x.
H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a
You can expand this, but I don't see a reason for doing it.
H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
Answers
Answer:
150 because he bought them
Step-by-step explanation:
how do i do this? geometry
Answers
Answer:
80?
Step-by-step explanation:
the total amount of degrees in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.
round 6,311 to the nearest thousand
Answers
Answer:
6,000
Step-by-step explanation:
please help. file is uploaded.
Answers
Answer:
9 + 4 = $13, Ms. Brown has 10 dollars which is not enough to pay for both Cranberry and Granola.
Step-by-step explanation:
Alright, so Cranberry is 3.25 per pound, and Granola is 2.19 per pound.
(2.9 and 1.75 is how many pounds of both Cranberry and Granola she wants.)
2.9 × 3.25 = 9.4
1.75 × 2.19 = 3.8
So when rounding, 9.4 would be rounded to 9. Then 3.8 would be rounded to 4. So no, Ms. Brown doesn't have enough to pay for both. 9 + 4 = $13
Have a good day friend! :D
Answer:
Let us use the variable "x" to represent the cost per Ib for each mix.
Cranberry: x = 2.9
Granola: x = 1.75
Ms.Brown buys 1.75 pounds of granola and 2.9 pounds of cranberry. Since the cost per pounds represent x, we can write the follow:
[tex]2.19(1.75)+3.25(2.9)[/tex]
[tex]3.83 + 9.42 = 13. 25[/tex]
Round to nearest cent,
Total Cost= $13
Since it is given that Ms.Brown has a $10 budget, she won't have enough for the purchase. She'll need $3 more.