Answer:
is this multiplication?
if so, 4.33
Step-by-step explanation:
just use division:
15.57/3.6=4.325 or rounded to two decimal places 4.33
HELP awarding 60 points and brainliest answer!!!
Answer:
A
Step-by-step explanation:
Choice A is right because there is no dot above the two.
Choice B is not right because there is 2 dots above 1 and not 3.
Choice C is not right because the data doesn't go passed 5 to get to 8
Choice D is not right because it was 5 games because there is 5 dots above 3
The answer would be A. the team never scored exactly 2 goals in a single game
If you look at the number two on the dot plot you can see that there are NO dots above it. This means that the team never scored exactly 2 goals.
It can't be B. because they scored exactly 1 goal for 2 games NOT 3
It can't be C. because no where on the graph is the number 8. They never scored 8 goals. Five is actually the highest number of goals they ever scored.
It can't be D. because they scored 3 goals in a game for 5 games not for 4 games
Hope this helped!
~Just a girl in love with Shawn Mendes
Which description best describes the solution to the following system of equations?
y = –x + 4
y = 3x + 3 (4 points)
Line y = –x + 4 intersects the line y = 3x + 3.
Lines y = –x + 4 and y = 3x + 3 intersect the x-axis.
Lines y = –x + 4 and y = 3x + 3 intersect the y-axis.
Line y = –x + 4 intersects the origin.
Answer:
Line y = –x + 4 intersects the line y = 3x + 3
Step-by-step explanation:
The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.
___
Comments on other answer choices
Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.
Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.
A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the dimensions of the rectangle
Answer:
8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
P = 2(length + width)
Filling in the given values for the variables, we have ...
4.5w +4 = 2(w +1.5w)
4 = 0.5w . . . . . . subtract 4.5w and collect terms
8 = w . . . . . . . . . multiply by 2
length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.
Answer:
Step-by-step explanation:
8x12
If the given sequence is a geometric sequence, find the common ratio.
3/3, 3/12, 3/48, 3/192, 3/768
a. 4
b. 1/30
c. 30
d. 1/4
Answer:
d. 1/4
Step-by-step explanation:
The ratio of adjacent terms is the common ratio:
(3/12)/(3/3) = 3/12 = 1/4
Combine Radicals/Fractional Exponents
Image Below, Will Give Brainliest~
What is the product of a b and c
[tex]\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}[/tex]
[tex]\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}[/tex]
[tex]\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}[/tex]
[tex]\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}[/tex]
[tex]\bigstar\;\;\mathsf{a = \dfrac{5}{4}}[/tex]
[tex]\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}[/tex]
[tex]\bigstar\;\;\mathsf{c = -3}[/tex]
[tex]\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}[/tex]
[tex]\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}[/tex]
Need help with math question
Answer:
center (1,-3) and radius is 5
Step-by-step explanation:
We have to use completing the square here:
x^2-2x + y^2+6y =15 (reorder some things and added 15 on both sides)
x^2-2x+(-2/2)^2 + y^2+6y+(6/2)^2 =15+(-2/2)^2+(6/2)^2 (whatever you add on one side you also do to the other side)
x^2-2x+(-1)^2 + y^2+6y+(3)^2=15+1+9
(x-1)^2 + (y+3)^2 =25
Center is (1,-3) and radius is 5
ANSWER
The center is (1,-3) and the radius is r=5 units.
EXPLANATION
The given equation is:
[tex] {x}^{2} + {y}^{2} - 2x + 6y - 15 = 0[/tex]
Let rearrange to get:
[tex]{x}^{2} - 2x + {y}^{2} + 6y=15[/tex]
We complete the square to get;
[tex]{x}^{2} - 2x + ( { - 1)}^{2} + {y}^{2} + 6y + {3}^{2} = 15+ ( { - 1)}^{2} + {3}^{2}[/tex]
[tex] ( {x - 1)}^{2} +( {y + 3)}^{2} = 15 + 1+ 9[/tex]
[tex] ( {x - 1)}^{2} +( {y + 3)}^{2} =25[/tex]
[tex]( {x - 1)}^{2} +( {y + 3)}^{2} = {5}^{2} [/tex]
Comparing to
[tex]( {x - h)}^{2} +( {y - h)}^{2} = {r}^{2} [/tex]
The center is (1,-3) and the radius is r=5 units.
If an object is dropped from a height of 144 feet, the function h(t) = -16t2 + 144 gives the height of the object after t seconds. When will the object hit the ground?
Answer:
3 seconds is correct.
Step-by-step explanation:
The object hit the ground at 3 seconds
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find when will the object hit the ground?
According to the problem,
An object is dropped from a height of 144 feetThe given function is h(t) = -16t2 + 144.
When the object reaches the ground h(t) becomes 0
So, the equation will be 0 = -16t2 + 144.
Solving the equation we get t = 3 seconds
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Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Reflected over the y-axis 2. y = (x - 1)2 + 1 Reflected over the x-axis 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Translated up by 1 unit 6. y = (x + 3)2 Translated left by 4 units
Answer:
y = -(x-1)² . . . . reflected over the x-axisy = (x-1)² +1 . . . . translated up by 1 unity = (x+1)² . . . . reflected over the y-axisy = (x-2)² . . . . translated right by 1 unity = (x-1)² -3 . . . . translated down by 3 unitsy = (x+3)² . . . . translated left by 4 unitsStep-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
f(x-a) . . . translates right by "a" unitsf(x) +a . . . translates up by "a" unitsa·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axisf(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
If a distance of 75 yds is measured back from the edge of the canyon and two angles are measured , find the distance across the canyon
Angle ACB = 50°
Angle ABC=100°
a=75 yds
What does C equal?
Answer:
Length of side [tex]c[/tex]:
[tex]c = \rm AB \approx 115\; yds[/tex].
The distance across the canyon is approximately
[tex]\rm 113\;yds[/tex].
Step-by-step explanation:
[tex]c[/tex] is the length of the side opposite to the angle [tex]\rm A\hat{C} B[/tex].[tex]a[/tex] is the length of the side opposite to the angle [tex]\rm B\hat{A}C[/tex].Apply the law of sine:
[tex]\displaystyle \frac{c}{\sin{\rm A\hat{C}B} = \frac{a}{\sin{\rm B\hat{A}C}}[/tex].
In other words,
[tex]\displaystyle c = \sin{\rm B\hat{A}C} \cdot \frac{a}{\sin{\rm A\hat{C} B}}[/tex].
However, the value of the angle [tex]\rm B\hat{A}C[/tex] isn't given. Don't panic. The three interior angles of a triangle shall add up to 180°. Two of the three angles are given. The value of the third angle is implied.
[tex]\rm B\hat{A}C = 180\textdegree{} - A\hat{C}B - A\hat{B}C = 30\textdegree{}[/tex].
Apply the law of sine to find [tex]c[/tex]:
[tex]\displaystyle \begin{aligned}c &= \sin{\rm A\hat{C}B} \cdot \frac{a}{\sin{\rm B\hat{A}C}}\\ &= \sin{50\textdegree{}}\cdot \frac{\rm 75\; yds}{\sin{30\textdegree{}}}\\ &\rm = 114.907\; yds\end{aligned}[/tex].
Refer to the diagram. The distance across the canyon will be
[tex]\rm AB \cdot \sin{A\hat{B}C} = 114.907\times \sin{100\textdegree{}} \approx 113\;yds[/tex].
what is the measure of DEF
Answer:
The measure of arc DEF is 204° ⇒ answer C
Step-by-step explanation:
* Lets talk about some facts in the circle
- If the vertex of an angle on the circle and the two sides of the
angle are chords in the circle, then this angle is called
an inscribed angle
- Each inscribed angle subtended by the opposite arc, the arc name
is the starting point and the ending point of the angle
- The measure of any circle is 360°
# Ex: ∠CAB is inscribed angle subtended by arc CB
- There is a relation between the inscribed angle and its
subtended arc, the measure of the inscribed angle equals half
the measure of its subtended arc
* Now lets solve the problem
- ∠DEF is an inscribed angle subtended by arc DF
∴ m∠DEF = (1/2) measure of arc DF
∵ The measure of ∠DEF = 78°
∴ 78° = (1/2) measure of arc DF ⇒ multiply both sides by 2
∴ The measure of arc DF = 78° × 2 = 156°
∵ The measure of arc DF + The measure of arc DEF = The measure of
the circle
∵ The measure of the circle = 360°
∵ The measure of the arc DF = 156°
∴ 156° + measure of arc DEF = 360° ⇒ subtract 156 from both sides
∴ The measure of arc DEF = 360° - 156° = 204°
* The measure of arc DEF is 204°
Answer: OPTION C.
Step-by-step explanation:
By definition:
[tex]Inscribed\ Angle = \frac{1}{2} Intercepted\ Arc[/tex]
Then we can calculate the measure of DF. This is:
[tex]78\°=\frac{1}{2}DF\\\\DF=(2)(78\°)\\\\DF=156\°[/tex]
We know that there are 360 degrees in a circle, therefore, in order to find the measure of DEF, we need to make the following subtraction:
[tex]DE[/tex][tex]F[/tex][tex]=360\°-156\°[/tex]
[tex]DE[/tex][tex]F[/tex][tex]=204\°[/tex]
You can observe that this matches with the option C.
NEED HELP FAST PULEASEE
Please help fast asap
What is the probability of drawing three black cards, one at a time with replacement, from a standard deck of 52 cards?
A.'3/52
Its not b
C.1/8
d.75/676
Need help fasttt
GIve p(6,6) and q=(-5,-3) find the magnitude of 2p+3q
A.2 sqr3
B. 3 sqr2
its not C
D.14
According to NFL statistics, the Cincinnati Bengals will lose 13 out of 16 games, regardless of opponent. What are the odds of Cincinnati losing a game?
A.3;13
its not b
C.13;3
D16;13
Determine which trigonometric function to use to solve for the hypotenuse. Then,
solve for the length of the hypotneuse.
b=9
A=55.8
A.cosin, .062
B.sin,10.8
C.sin,16.0
its not D
Answer:
6
Step-by-step explanation:
i need help with area of a circle
A circular plate has a diameter of 6 inches.
What is the exact area of the plate?
A.3_ square inches
B.6_ square inches
C.36_ square inches
D.9_ square inches
Answer:
D.
Step-by-step explanation:
The area formula for a circle is [tex]A=\pi r^2[/tex].
If the diameter is given, we take half of it to find the radius measure. If d = 6, then r = 3. Therefore, our formula can be filled in as
[tex]A=\pi (3)^2[/tex] or [tex]A=9\pi[/tex]. That is the exact area. The approximate area is found by multiplying in 3.1415 as pi to give you that the area is approximately 28.27 square inches. I think you meant to put pi in those answer choices instead of an underscore, so it's my belief that D. is supposed to reflect the answer of [tex]9\pi[/tex] square inches. I'm going with D.
What is the opposite of squaring a number
The opposite of squaring a number is taking the square root. They are inverse operations.
The opposite of squaring a number is taking the square root of the number. They are inverse operations.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
Perfect squares are those integers whose square root is an integer.
Let x-a be the closest perfect square less than x,
Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).
Then, we get:
[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]
Thus, these are the closest integers, less than and more than the value of[tex]\sqrt{x}[/tex]. (assuming x is a non-negative value).
The opposite of squaring a number is taking the square root of the number. They are inverse operations.
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Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute. When Anzelm goes jogging, he usually plans to stop and rest for about 5 minutes. Complete the equation below to find the total number of minutes (including rest) that Anzelm should plan to be out jogging. Use m to represent the total minutes ___( __–__) = ___
Answer:
12(m -5) = 540
Step-by-step explanation:
The left side of the equation is in the form of a product. A suitable product is ...
(calories/minute) × (minutes jogging) = (calories burned)
If m represent Anzelm's total minutes, then m-5 will represent the number of minutes actually jogging. This is what goes inside parentheses, so we have ...
(12 calories per minute) × ((m -5) minutes) = 540 calories
Leaving off the units, which we know are consistent, we have ...
12 (m -5) = 540
Answer:
12(m-5) = 540
Step-by-step explanation:
∵ The total calories have to burn = 540,
Also, here m represents the total time spent by Anzelm,
If he/she spent 5 minutes in rest,
Then the time he/she spent in jogging = (m - 5) minutes,
If the number of calories burnt in one minute = 12,
So, the number of calories burnt in (m-5) minutes = 12(m-5),
Therefore, for burning the whole calories,
Calories burnt by him/her = total calories
⇒ 12(m-5) = 540
Which is the required equation.
A survey found that 78% of students do their homework before 10:00 P.M. Predict how many students out of 975 do their homework before 10:00 P.M.
a.
about 761
b.
about 78
c.
about 800
d.
about 13
Ben drew 3 two-dimensional shapes that had II angles in all. Draw shapes Ben could have drawn.
The figure is attached to show the shapes Ben could have drawn
He could have drawn 2 four angled polygon , 1 triangle and 1 pentagon , 2 triangles .
What are Two Dimensional Shapes ?The shapes which lie on two coordinate axis and has length ,and breadth are called Two dimensional shapes.
A polygon is included in two dimensional shapes.
It is given in the question that
Ben drew 3 two-dimensional shapes that had 11 angles in all.
11 angles mean
2 four angled polygon , 1 triangle2 quadrilaterals ( rectangle , square , rhombus etc.) and a triangle
1 pentagon , 2 trianglesA figure is attached for the above stated answer .
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Write the equation of a line that goes through point (0, −8) and has a slope of 0.
A.) x = -8
B.) x = 0
C.) y = - 8
D.) y = 0
Answer:
C.) y = - 8
Step-by-step explanation:
If the line has a slope of 0, it is a horizontal line. That means y= a value
Since we have the point (0,-8)
y = -8
Final answer:
The equation of a line that goes through point (0, -8) with a slope of 0 is y = -8.(Option c)
Explanation:
We need to find the equation of a line that goes through the point (0, -8) and has a slope of 0. The general equation for a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since the slope (m) is 0, the line is horizontal.
A horizontal line has an equation of the form y = b, where b is the y-coordinate of every point on the line. As the line goes through (0, -8), we can see that the y-coordinate is -8 for all points on this line. Therefore, the equation of this line is C) y = -8.
A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the total number of questions? A. 5:20 B. 15:20 C. 20:15 D. 20:5
Answer:
15:20
Step-by-step explanation:
15:20 = 15/20 = .75 = 75%
A salesperson obtained a systematic sample of size 20 from a list of 500 clients. to do so, he randomly selected a number from 1 to 25, obtaining the number 18. he included in the sample the 18th client on the list and every 25th client thereafter. list the numbers that correspond to the 20 clients selected
The salesperson selected clients 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493 through systematic sampling from a list of 500 clients.
Explanation:This is a question related to systematic sampling, which is a statistical method where elements are selected from an ordered sampling frame. In this case, the 20 clients were selected beginning with the 18th client and then continuing every 25th client.
To find the specific client numbers selected, we would follow the pattern by adding 25 to the prior number starting from 18. Keep adding until you reach 20 numbers. Let me list them for you:
18 (Starting client) 43 (18 + 25) 68 (43 + 25) 93 (68 + 25) 118 (93 + 25) 143 (118 + 25) 168 (143 + 25) 193 (168 + 25) 218 (193 + 25) 243 (218 + 25) 268 (243 + 25) 293 (268 + 25) 318 (293 + 25) 343 (318 + 25) 368 (343 + 25) 393 (368 + 25) 418 (393 + 25) 443 (418 + 25) 468 (443 + 25) 493 (468 + 25) Learn more about systematic sampling here:
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The salesperson used systematic sampling to select clients from the list. Starting with the 18th client, the salesperson then selected every 25th client thereafter. The client numbers selected were 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493.
Explanation:In this scenario, the salesperson obtained a systematic sample by first selecting the 18th client and then every 25th client thereafter from a list of 500 clients. This method of sampling is called systematic sampling. It's a type of sampling where we select items from an ordered population using a fixed, periodic interval after a random start. So, the numbers of the clients selected would be: 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493.
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The product shown is a difference of squares. What is the missing constant term in the second factor?
(–5x – 3)(–5x +?
Answer:
[tex]\boxed{3)}[/tex]
Step-by-step explanation:
A difference of squares has the form (a - b)(a + b)
Your expression is (-5x - 3)(-5x + ?
Let's compare this with your expression.
[tex]\begin{array}{cclccl}(a & - & b) & (a & + & b)\\\downarrow & & \downarrow & \downarrow & & \downarrow \\(-5x & - & 3) & (-5x & + & \mathbf{3)} \\\end{array}\\\\\text{The missing term is }\boxed{\mathbf{3)}}[/tex]
Mr de guzman bought 7 1/2 of meat.He used 2 3/4 for afritada,3 1/8 kg for menudo and the rest for pochero.How many kilograms of meat did he used for pochero?
Answer:
hola puto
Step-by-step explanation:
bggyyhh yyesws kihtwrqas bts23e4gyhun
Below is the beginning of the construction of a line parallel to the y-axis through point P. What is the next step of this construction?
A. Measure the distance from the intersection of the transversal to point P.
B. Place the compass on the point of intersection and mark an arc through the transversal and y-axis.
C. Draw another transversal.
D. Connect the arc intersections using a straight edge.
Thanks!
Answer:
B. Place the compass on the point of intersection and mark an arc through the transversal and y-axis
Step-by-step explanation:
Creating a parallel line through a point involves copying the angle a transversal makes with the given line. The copied angle has the given point as its vertex, and the transversal as one side.
Copying an angle uses the steps of ...
draw an arc through the sides of the given angledraw an arc with the same radius centered at the new vertex...The step this question is referring to is the first bullet above. The given angle is the angle between the transversal and the y-axis.
Complete a two-column proof for each problem.
In a difficult position right now all help is welcomed tyty
Answer:
D is the midpoint of AC Given
∠BDC ≅ ∠BDA Given
BD ≅ BD Reflexive Property
AD ≅ DC Definition of line segment bisector
ΔADB ≅ ΔCBD CPCTC (Congruent Parts of Congruent Triangles are Congruent)
~
Solve: e^2x+5= 4 (for those who want the answer to this!)
Answer:
Step-by-step explanation:
With the way it is written, there are no values of x that make the equation true.
Please explain how you got this answer.
-Aparri
Answer:
She got a 87 on her chemistry test
Step-by-step explanation:
(72 + 85 + 92 + x)/4 = 84
249 + x = 336
x = 87
If tuvw is an an isoaceles trapezoid with tu parallel to wv, name a pair of similar traingles. Explain
Answer:
TUW ~ UTV, TWV ~ UVW
Step-by-step explanation:
An isosceles trapezoid is symmetrical about the perpendicular bisector of its bases. A triangle formed by deleting a vertex on one side of that line of symmetry will be similar to the corresponding triangle formed by deleting the symmetrically opposite vertex on the other side. The two pairs listed above are the possibilities.
Rebecca buys a table that was priced $650. There is a 8% sales tax in her state. Fortunately, it was 25% off! So she only
paid $:
Answer:
$526.50
amount×discount=?
650×.25= 162.5
total-discount=?
650-162.5= 487.5
new amount×sales tax=?
487.5×.08= 39
new amount+tax=total
487.5+39= 526.5
Total=$526.50
Which two undefined geometric terms always describe figures with no beginning or end?
Answer:
lines, andplanes.Explanation:
In geometry, undefined terms refer to three entities: points, lines, and planes. They are considered undefined because they are rather described than formally defined.
The reason behind this lack of definition is that they are abstractions: you cannot touch or see a real point, line or plane.
A point represents a position in the plane or the space, and it is dimensionless. Yet it is used to define a line and a plane.
Among those three terms, only line and plane meet the feature of not having begin or end. That is so because lines and planes extend infinetly
LInes extend in two directions, in one dimension: for example, from left to right, or from east to west, or vertically.
Planes extend infinetly in two dimensions: they are flat infinite surfaces.
Please answer this question correctly for 30 points and brainliest!!
Answer:
22 quarters
Step-by-step explanation:
Let q represent the number of quarters in the bank. Then 60-q is the number of nickels, and the total value of the coins is ...
0.25q + 0.05(60 -q) = 7.40
0.20q + 3.00 = 7.40 . . . . . . . . simplify
0.20q = 4.40 . . . . . . . . . . . . . . subtract 3.00
q = 4.40/0.20 = 22 . . . . . . . . . divide by the coefficient of q
There are 22 quarters in the piggy bank.
_____
Check
The other 60-22 = 38 coins are nickels, so the total value is ...
0.25×22 + 0.05×38 = 5.50 + 1.90 = 7.40 . . . . . . the required amount
Step-by-step answer:
Here's a different way to solve the problem, mentally.
Mixture of 60 coins composed of nickels (5 cents) and quarters (25 cents).
Total value = 7.40.
IF all coins were quarters, value would be 60*0.25 = $15
That makes too many quarters.
To conform to the value of $7.40, we need to reduce the mix by $15-7.40 = 7.60.
Each exchange of quarters and nickels reduces the value by $0.25-0.05=0.20.
It takes 7.60 / 0.20 = 38 exchanges.
So there are 38 nickels and 22 quarters.
The cost of a long-distance phone call is $0.45 for the first minute and $0.36 for each additional minute. If the
total charge for a long-distance call is $6.93, how many minutes was the call?
The call was for
minutes.
Answer:
19 minutes
Step-by-step explanation:
cost = .45+.36m
If we take 6.93 minus .45 for the minute, we get 6.48. We take 6.48 and divide it by .36 for each additional minute, which is 18. We take the 18 and add one more minute to it since .45 was covered for the first minute.
The long-distance phone call that cost $6.93 was 19 minutes long. This was calculated by first deducting the cost of the first minute from the total cost, then dividing the remaining cost by the cost of each additional minute, and finally adding back the first minute.
Explanation:The subject of this question is mathematics, and it involves understanding the cost structure of a long-distance phone call. So here's how we solve the problem:
Subtract the first minute's cost from the total cost. So, $6.93 - $0.45 = $6.48.Then divide the remaining total by the cost of each additional minute. So, $6.48 / $0.36 = 18 additional minutes.Last, add back in the first minute that we subtracted at the start. So, 18 minutes + 1 minute = 19 minutes total.Therefore, the duration of the long-distance phone call that cost $6.93 was 19 minutes.
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