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
PLZ HELPPP ME
Point B has coordinates (3,2). The x-coordinate of point A is 0 . The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Answers
Answer:
A (0, - 2 ) or A (0, 6 )
Step-by-step explanation:
Using the distance formula
d = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2 }[/tex]
with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )
AB = [tex]\sqrt{(0-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{(-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{9+(y-2)^2}[/tex]
Given AB = 5 then equating gives
[tex]\sqrt{9+(y-2)^2}[/tex] = 5 ( square both sides )
9 + (y - 2)² = 25 ( subtract 9 from both sides )
(y - 2)² = 16 ( take square root of both sides )
y - 2 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 2 to both sides )
y = 2 ± 4
Then y = 2 - 4 = - 2 or y = 2 + 4 = 6
Possible coordinates of point A are
A (0, - 2 ) or A (0, 6 )
Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?
Answers
Answer:
$11.16 - $0.68 = $10.48 - price of four cards without tax
$10.48 : 4 = $2.62 - price of one card without tax
Cheers!
Answer:
the cost of each card including sales tax is 2.79
the cost of each card without sales tax is
11.16-0.68=10.48
10.48÷4=2.62
Step-by-step explanation:
Could someone help, please don't put any links!
Thanks!
Answers
Answer:
1. D (9/12)
2. B (1/4)
3. C (2^4x3x5)
Step-by-step explanation:
Hope this helps
Answer:
1) D 9/12
2) B 1/4
3) C 2^4 * 3 * 5
Step-by-step explanation:
1)
1/2 = 6/12
5/6 = 10/12
6/12 < 9/12 < 10/12, this is true.
2)
Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.
3)
Factor out 240:
240 = 120 x 2
120 = 60 x 2
60 = 30 x 2
30 = 15 x 2
15 = 5 x 3
2 x 2 x 2 x 2 x 3 x 5
Multiple the 2's together to get the following equation:
[tex]2^{4} * 3 * 5[/tex]
any smart people that know math know whats going on
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What other information do you need in order to prove the triangles congruent using the SAS Postulate?
Answers
Answer:
AC is perpendicular to BD.
Further explanation
We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.
The length of the base of the triangle is the same, i.e., .
In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:
∠ACB = ∠ACD
- - - - - - - - - -
The following is not other or additional information along with the reasons.
∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and
∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
Learn more
Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
Step-by-step explanation:
Philip Schofield bench presses 200N over a distance of 0.5m. calculate the work done
Answers
Answer:
100J
Step-by-step explanation:
work done = force x distance
= 200 x 0.5
= 100J
What is the slope of this equation and Y intercept.
Y= 3/5x + 6
Answers
Answer:
the y-intercept is 6 the slope is 3 / 5
Step-by-step explanation:
slope-6
y-intercept-3/5
Answer:
M = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
.
25. Save the simultaneous equations 2x-y=4;x+y=5
Answers
Answer:
Step-by-step explanation:
2x-y=4 ..........(1)
x+y=5 ...........(2)
Add equation 1 and 2:
We get:
3x=9
x=9/3
x=3
Substitute value of x in (2):
x+y=5
3+y=5
y=5-3
y=2
(3,2)
What is the range of this relation?
(8,-9)
(5, -3)
(-4, 6)
(-3, -2)
(6,8)
(8,6)
Answers
Answer:
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Step-by-step explanation:
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
The domain is the input and the range is the output
domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}
We put the numbers in order from smallest to largest
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Answer:
(-9,-3,6,-2,8,6) is the answer as the range is always the "second pair" of numbers in any relation.
The exchange rate at the Post Office is $1 = (1.17
How many euros will you get for E280?
Answers
Answer:
In £280, there will be €327.6.
Step-by-step explanation:
Since we have given that
£1 = €1.17
We need to find the value of £280.
Using "Unitary method", we will multiply 1.17 by 280 and we get that
Hence, in £280, there will be €327.6.
# learn more:
The exchange rate at the post office is 1 pound = 1.17 euros
how many euros will you get for 280 pounds
Multiply 280 both sides
£ 280 = € 1.17 × 280
£ 280 = € 327.6
£ 1 = € 1.17
(Hope this helps can I pls have brainlist (crown)☺️)
PLEASE HELP.
WILL GIVE BRAINLIEST!!
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED !!!
Answers
Answer:
b; |-4|<|-5|
Step-by-step explanation:
Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.
666.96358875 × 411.8596678
Answers
Answer:
274695.40209727081725
Step-by-step explanation:
Someone please help with this math question, it is not hard if you're good at math, but I'm on a test.
Answers
Answer:
3
Step-by-step explanation:
Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3
what rule is this, please answer correctly, please
Answers
Answer:
Reflection
Step-by-step explanation: It is reflection because it is the same thing just reflected
Answer:
Vertical reflection of MNOP quadrilateral
Step-by-step explanation:
Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.
here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection
What Is the Intersection of Two Sets
Answers
Answer:
the set of elements that are common to each of the given sets
Step-by-step explanation:
Can you please help ASAP. It is very easy
Answers
Hello!
Let the number be x.
We multiply it by 5:
5x
Subtract 3:
5x-3
Hope it helps. Ask me if you have any query.
~An excited gal
[tex]MagicalNature[/tex] here to help
help 6th grade math im will give brainliest
Answers
ok I don't see the thing you need help with
What do you need help with?
i need help it is due today
Answers
Answer:
8
Step-by-step explanation:
Using the Heron's formula we can find that the total area of the triangle is 84 inches.
Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2
Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.
In ΔNOP, p = 7.5 inches, ∠O=8° and ∠P=25°. Find the length of n, to the nearest 10th of an inch.
Answers
Answer: 10.17898 so
About 10.2
Answer: 10.6
Step-by-step explanation:
New Brunswick middle school had 1,250 students last year this year they had a 15% increase. how many students are in new Brunswick middle achool this year?
Answers
1250+187.5=1437.5
1437.5 is your final answer
IM GIVING OUT BRIANLIEST
Answers
Answer:
3.78
Step-by-step explanation:
HELP!!! I WILL GIVE BRAINLIEST!!!!
1.Find f(4) if f(x) = (1/2)x + 13
2.Find f(5) if f(x) = (3/5)x - 10
3.Find f(-1) if f(x) = x2 + 7
4.Find f(2) if f(x) = 3x3 -12x2
Answers
Answer:
15, - 7, 8, - 24
Step-by-step explanation:
1
f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15
2
f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7
3
f(- 1) = (- 1)² + 7 = 1 + 7 = 8
4
f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24
1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.
Answers
Answer:
16.49%
Step-by-step explanation:
0.97+16.49%=1.129953
The percentage increase is 16.49%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100)
We are given that the price of a newspaper increased from $0.97 to $1.13
WE need to find the percentage increase.
Therefore,
Intital price = 0.97 ( 1.13 - 0.07)
= 0.16 / 0.97 x 100
= 16/0.97
= 16.49
0.97+16.49% = 1.129953
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
The midpoint of AB = ([?], [ ])
Answers
Answer:
I believe it is (0,0)
Step-by-step explanation:
the midpoint can be found by adding the x values together and dividing by 2 for your midpoint x , and doing the same with the ys for the y value
for the x:
(1+-1)=0
0/2=0
and for the y:
(2+-2)=0
0/2=0
making it (0,0)
What is the value of the expression
4(2+y)
2y-z when x=2 and y=4
A.4
B.8/3
C.12/5
Answers
4(2+y)2y-z when x=2 and y=4
4(2+4)2×4-z
4(6)(8-z)
(4×6)(-8z)
24-8z
z=24÷8
8/3
Therefore 8/3 is last answer .
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [4(2 + y)] / (2y - x)
The value of the expression at x = 2 and y = 4 will be given as,
⇒ [4(2 + 4)] / [2(4) - 2]
Simplify the equation, then we have
⇒ (4 × 6) / (8 - 2)
⇒ 24 / 6
⇒ 4
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
If m<8= x°, which angles have a measure of 180º – xº? Select all that apply.
<3
<4
<6
<10
Answers
Answer:
∠6, ∠10
Step-by-step explanation:
Apparently, we are to assume that the avenues are parallel.
The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.
Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.
_____
Additional comment
It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.
-x+y=5
2x-5y=12
Select the best method to solve the system
Substitution or Elimination
Answers
Answer:
x=-37/3
y=-22/3
Step-by-step explanation:
-2x+2y=10 (1)
2x-5y=12 (2)
(1)+(2) <=> -3y=22
Answer:
Elimination method is good enough
What is the standard form of this expression?
(1 + 71i)(3 - i)
Answers
the standard form of this expression is
(72+3)(-i)
You take a road trip up north with your family. You begin a hike in Death Valley, California at an elevation of 86 meters. You hike up another 35 meters, then down another 148 meters to the other side of the hill. What elevation are you at when you reach the other side of the hill?
Answers
Answer: - 27 meters
Step-by-step explanation:
1. 86 m Start at 86 meters
2. +35 m Go up another 35 meters
3. -148 m Go down 148 meters.
4. - 27 meters Net change in elevation
The net result is a negative 27 meters in elevation from the start of the hike.
Write 567.4892 correct to (I)the nearest ten (II)2 decimal places
Answers
Answer:
i think the answer to your question
1) 570
2)567.49
Help plzzz I am not good at this!!!
Answers
Answer:
-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)Step-by-step explanation:
To complete the 1st model you have to put 5 red chips
To complete the 2nd model you have to put 10 yellow chips
To complete the 3rd model you have to put 8 red chips
But to understand why we are putting a certain number of yellow or red chips
we have to understand the zero pairs method meaning one positive and one negative zero out each other