Answer: 10 Acme and 15 Zenith.
She can buy 10 Acme and 15 Zenith calculators.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A math teacher wants to buy 25 new scientific calculators for the classroom.
Acme and Zenith makes two different type of calculators.
Acme calculators cost $15 each.
Zenith calculators cost $12 each.
The math teacher has $330 to spend.
Let x represents the number Acme calculators and y represents Zenith.
Now, we have the system of equations,
x + y = 25
So, y = 25 - x
And 15x + 12y = 330
Substituting the value of y,
15x + 300 - 12x = 330
3x = 330 - 300
3x = 30
x = 10
So, y = 15
Therefore, 10 Acme and 15 Zenith calculators.
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Write as an equation: The product of 4 and s is 25
• A. 4+ s= 25
• B.4 x 25 = s
• C.4+ 25 = s
• D.4 x s= 25
What is the constant of proportionality in the equation y = 3x?
constant of proportionality
Answer:
Step-by-step explanation:
y = mx + b
in this form, the constant of proportionality is also known as the slope....and it can be found in the m position
y = 3x.....is actually y = 3x + 0....so the slope (constant of proportionality is gonna be 3
Answer:
the constant proportionality it gonna be 3
Step-by-step explanation:
the starting equation is y=mx+b
plug in the numbers and get your answer
my photo math said it is x = 0 lol
AB is parallel to CD.
AB = BC∠ BCD = 20°.
Work out x explaining each stage of your working in the comment box.
DIAGRAM IS NOT TO SCALE
Answer:
Step-by-step explanation:
∠ABC = ∠BCD { AB // CD; BC TRAVERSAL, alternate angles are equal}
∠ABC = 20
∠BCA = ∠BAC {angles opposite to equal sides are equal}
∠BCA = ∠BAC = x
x + x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
The lines AB and CD are said to be parallel and thus, corresponding angles ∠CB and ∠BD, are equal in value. Hence the value of x is calculated by subtracting the value of known angle ∠BCD (20°) from the total sum of interior angles of a straight line (180°), obtaining a result of 160°.
Explanation:In this given geometry problem, the lines AB and CD are parallel to each other and BC∠BCD = 20°. Since AB is parallel to CD, then the angles ∠CB and ∠BD, being corresponding angles, are equal. Hence, ∠CB also equals 20°.
Now, since ∠BCD and ∠CB make a straight line, the sum of their interior angles is equal to 180°. So, if we subtract the known 20° from 180°, we can find the value of unknown angle ∠BCD. Hence, x = 180° - 20° = 160°.
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Dons class rents a bus for $168. They want to take the bus to the theater. What is the total cost of the bus rental and theater tickets? Make sense, Model, and Generalize.
To find the total cost for Don's class trip, including the bus rental and theater tickets, the cost and number of tickets are required. Currently, with only the bus rental cost known at $168, we can't calculate the final total cost.
Explanation:To solve the problem of determining the total cost of the bus rental and theater tickets for Don's class, we first identify the information given and what is required. We know the cost of the bus rental, which is $168. However, the question does not specify the cost of theater tickets. Therefore, to get the total cost, we would need the number of theater tickets needed and the price per ticket. Once these details are provided, the total cost can be calculated using the formula:
Total Cost = Cost of Bus Rental + (Number of Theater Tickets × Cost per Theater Ticket)
Without the cost and quantity of theater tickets, we can only provide the initial part of the answer, which is the cost of the bus rental.
????????????????????????
Answer:
Step-by-step explanation:
P(7) = No.of possibilities for getting 7/Total outcomes
=1/8
Answer:
1/8
Step-by-step explanation:
there is 8 "slices" and 1 7
3(x-2)=5x+8 ; solve for x
Answer:
see attached picture please
Answer:
3x² -- 5x -- 8
Step-by-step explanation:
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
3
⋅
−
8
=
−
24
and whose sum is
b
=
−
5
.
Tap for fewer steps...
Factor
−
5
out of
−
5
x
.
3
x
2
−
5
(
x
)
−
8
Rewrite
−
5
as
−
8
plus
3
3
x
2
+
(
−
8
+
3
)
x
−
8
Apply the distributive property.
3
x
2
−
8
x
+
3
x
−
8
Factor out the greatest common factor from each group.
x
(
3
x
−
8
)
+
1
(
3
x
−
8
)
Factor the polynomial by factoring out the greatest common factor,
3
x
−
8
.
(
3
x
−
8
)
(
x
+
1
)
-10 + 5b = -35...I want to know the answer to this question pls...or else I will fail the 3rd quarter
Answer:
-5
Step-by-step explanation:
-10+5b=-35
5b=-35-(-10)
5b=-35+10
5b=-25
b=-25/5
b=-5
Help giving brainliest
Answer:
i think 2m
Step-by-step explanation:
3 plus 3 is 6 minus 8
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the GCF of the given polynomial. 8x6y5 - 3x8y3
Answer:
I guess the answer is 168yx.
Answer:
x^6 y^3 8x^6 y^5
The diameter of a circle is 16 yards. What is the circle's area?
Use 3.14 for .
Answer: 200.96 yd²
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.
[tex]Area = \pi r^{2}[/tex]
Notice that here, we're given the diameter instead of the radius. Remember that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 16 yards or 8 yards.
So plugging into the formula, we have (π)(8 yd)².
A common mistake is to plug 16 yards into the formula but remember that we must plug in the radius and not the diameter.
Multiplying, (8 yd)² is equal to 8 yards × 8 yards or 64 yards².
So we have 64π yd².
So the area of the circle is 64π yd².
Now, remember that the irrational number π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.
So we have (64)(3.14) which is equal to 200.96.
So the area of the circle is approximately equal to 200.96 yd².
Final answer:
The area of a circle with a diameter of 16 yards is 200.96 square yards, calculated using the formula A = πr², with π approximated as 3.14.
Explanation:
To calculate the area of a circle with a diameter of 16 yards, we first determine its radius, which is half the diameter. The radius (r) would therefore be 8 yards. We use the formula for the area of a circle, which is A = πr². Since we're using 3.14 for π, we plug in the radius to get the area:
A = 3.14 × (8 yd)²
A = 3.14 × 64 yd²
A = 200.96 yd²
Therefore, the area of the circle is 200.96 square yards.
The graph shows the number of hours per day spent on social media by a group of teenagers and the number of hours per day spent exercising. A line of best fit for the data is shown.
A scatterplot is shown in the xy-plane. The horizontal axis is labeled as Social Media Hours Per Day and the vertical axis is labeled as Exercising Hours Per Day. The values on the horizontal axis range from 0 to 1.6 in increments of 0.2 and the values on the y-axis range from 0 to 2 in increments of 0.2. The line of best fit intersects the x-axis at a point just to the left of 1 decimal point 4 and y-axis at a point just below 1.1. Majority of the data points are concentrated between 0.3 and 0.6 on the horizontal axis and 0.6 and 0.9 on the vertical axis and two points are marked on the line.
Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 0.25 hours on social media.
Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 1.38 hours on social media.
Do you think the predictions from part (a) and part (b) are reliable? Explain your reasoning.
a)Exercise hour per day is 0.903
b) Exercise hour per day is 0.01573
c) The predicted values are closer to given data points.
What line of best fit?
The line of best fit is a straight line that minimizes the sum of squared differences between observed and predicted values.
From the graph we can find the line equation.
Social media hours per day/1.4 + Exercise hour per day/1.1 = 1
a) If 0.25 hours were spent on social media per day.
0.25/1.4 + Exercise hour per day/1.1 = 1
Exercise hour per day = (1 - (0.25/1.4))*1.1
Exercise hour per day = 0.8215*1.1
= 0.903
b) Social media hours per day/1.4 + Exercise hour per day/1.1 = 1
Given that 1.38 hours were spent on social media
1.38/1.4 + Exercise hour per day/1.1 = 1
Exercise hour per day/1.1 = 1 -(1.38/1.4))
Exercise hour per day = 0.0143*1.1
= 0.01573
c) The predictions from a) and b) are correct because the line almost fits the data points. The line on the data point is minimum error. The line gives the estimated values not the actual values. The predicted values are closer to given data points.
Complete question
BRAINLIEST AND 50 PTS HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Damian rides his bike 38 miles each week for 15 weeks.
How many total miles does he ride in 15 weeks?
Enter your answer in the box.
____ miles
Answer:
570 miles in 15 weeks
Step-by-step explanation:
trust me
Answer:
570
Step-by-step explanation:
because 38 miles x 15 weeks is 570 miles
Find the slope and the equation for the line passing through the point (−5,−0.75)(−5,−0.75) with x-intercept at x=−6
Answer:
Slope is -0.75
Step-by-step explanation:
When calculating slope you can use the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex] to find the slope. In this case that formula is using the 2 points (-5, -0.75) and (-6, 0). When those points are put in the equation becomes [tex]\frac{0+0.75}{-6+5}=\frac{0.75}{-1}=-0.75[/tex]. This means that the slope is -0.75.
-* + 10.8 is: irrational or rational
Answer:
RATIONAL
Step-by-step explanation:
Irrational Numbers. All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point
Answer:
irrational
Step-by-step explanation:
Rachel has 3 times as many roses as carnations. She has 12 fewer carnations than daisies. There are 15 daisies. How many flowers does Rachel have in all
Answer:
27 flowers
Step-by-step explanation:
Let
x ----> the number of roses
y ----> the number of carnations
z ----> the number of daisies
we know that
[tex]x=3y[/tex] ----> equation A
[tex]y=z-12[/tex] -----> equation B
[tex]z=15[/tex] -----> equation C
substitute the value of z in equation B
[tex]y=15-12=3[/tex]
substitute the value of y in equation A
[tex]x=3(3)=9[/tex]
so
Rachel have 9 roses, 3 carnations and 15 daisies
In total
9+3+15=27 flowers
Rachel has 15 daisies, 3 carnations, and 9 roses, giving her a total of 27 flowers.
Let's break down the information provided:
Rachel has 3 times as many roses as carnations.She has 12 fewer carnations than daisies.There are 15 daisies.Step-by-Step Solution:
1. Start with the number of daisies: 15 daisies.
2. Rachel has 12 fewer carnations than daisies:
15 daisies - 12 = 3 carnations.
3. Rachel has 3 times as many roses as carnations:
3 carnations * 3 = 9 roses.
4. Add up all the flowers she has:
15 daisies + 3 carnations + 9 roses = 27 flowers in total.
Therefore, Rachel has a total of 27 flowers.
guy is pouring a new patio for his house.
He rents a concrete mixer for $50 per day plus $12.50 per hour. If he is charged $143.75, how long did guy have the concrete mixer?
Answer:
Step-by-step explanation:
50 + 12.50h = 143.75....where h = # of hrs
12.50h = 143.75 - 50
12.50h = 93.75
h = 93.75 / 12.50
h = 7.5 (or 7 1/2) hrs <====
The ratio of the price of a tv to the price of a computer is 13:15 if the tv 400 dollars cheaper than the computer, how much does the computer cost.
The computer cost is $3000
Step-by-step explanation:
The given is:
The ratio of the price of a tv to the price of a computer is 13 : 15The tv 400 dollars cheaper than the computerWe need to find the cost of the computer
Assume that the price of the computer is $x
∵ The ratio between the prices of the tv and the computer is 13 : 15
∵ The price of the computer is $x
∵ The price of the tv 400 dollars cheaper than the computer
- That means the price of the tv is less than the price of the
computer by $400
∴ The price of the tv is $(x - 400)
By using the ratio method
→ tv : computer
→ 13 : 15
→ (x - 400) : x
By using the cross multiplication
∴ 15(x - 400) = 13(x)
- Simplify the left hand side
∴ 15x - 6000 = 13x
- Add 6000 to both sides
∴ 15x = 13x + 6000
- Subtract 13x from both sides
∴ 2x = 6000
- Divide both sides by 2
∴ x = 3000
The computer cost is $3000
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a number c increased 6 by is less than or equal to -26
Answer:
c ≤ - 32
Step-by-step explanation:
It will be less than or equal to - 26 if a number c is increased by 6.
Now, we have to solve the inequality for c.
The inequality is, c + 6 ≤ - 26
⇒ c + 6 - 6 ≤ - 26 - 6 {Subtracting 6 from both the sides}
⇒ c ≤ - 32
Therefore, the solution of the inequality is that c is less than or equal to - 32. (Answer)
A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
Which rule describes the x-coordinates in the translation?x+0
x+6
x-6
x+4
Answer:
x+6
Step-by-step explanation:
just took it on edge
x-6 is the rule which describes the x-coordinates in the translation
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.
Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.
In the given graph B is the image and A is the preimage.
The image B is shifted to left by six units.
x-6 is the rule which describes the x-coordinates in the translation
Hence, x-6 is the rule which describes the x-coordinates in the translation
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Tully ran 7\10 mile and Maggie ran 3\5 mile who ran farther explain
Answer:
Tully ran farther
Step-by-step explanation:
tully maggie
7/10 | 3/5
find the LCD. the LCD is 10.
7/10 | 3x2/5x2
7/10 | 6/10
A nurse must mix a 20% solution of medication in an existing container of water. The container currently holds 12 ounces of water how many ounces of medication should the nurse add to make the proper solution?
Answer:
3 ounces of medication to be added to get 20%solution of medication
Step-by-step explanation:
To find:
The amount of medication to be added to 12 ounces of water to get a 20% solution
Let the amount of medication to be added =x
So total amount of mixture = amount of water + amount of medication
= 12+x
% medication = (amount of medication÷total amount of the mixture)× 100
Therefore
% medication =( x÷12+x)×100
20 =( x÷12+x)×100
[tex]20 =\frac{x}{12+x}[/tex] X 100
20(12+x) =100x
240+20x =100x
100x-20x =240
80x =240
x =240÷80
x=3
so 3 ounces of medication to be added to get 20%solution of medication
Is y=3/4x-7 a linear or nonlinear function
Answer: Yes
Step-by-step explanation:
id strongly prefer using the app? website desmos. it will help a lot.
If y = 2x2 – 4x, what is the value of y when x equals 5.
A.10
B.30
C.80
D.480
Answer:
The value of y in the given equation is B. 30.
Step-by-step explanation:
y = 2x² - 4x x = 5
y = 2(5)² - 4(5) Plug 5 in for x
y = 2(25) - 20 Square 5 and multiply 4 by 5
y = 50 - 20 Multiply 2 by 25
y = 30
Hope this helps,
❤A.W.E.S.W.A.N.❤
36(1/3)^n-1 first five term of the sequence
Answer:
Step-by-step explanation:
first term: put n = 1
36(1/3)^n-1 = 36(1/3)^1-1 =12 - 1 = 11
2nd term: put n = 2
36(1/3)^n-1 = 36(1/3)^2-1 = 19.784
3rd term: put n = 3
36(1/3)^n-1 = 36(1/3)^3-1 = 0.3333
4th term: put n = 4
36(1/3)^n-1 = 36(1/3)^4-1 = -0.5555
5th term: put n = 5
36(1/3)^n-1 = 36(1/3)^5-1 =-0.85185
What is the length of a rectangle when the length of the rectangle is 2(x+1) meters and the perimeter is 60 meters
Step-by-step explanation:
Given,
The length of a rectangle(l) = 2(x + 1) meters and
The perimeter of a rectangle = 60 meters
To find, the width of a rectangle(b) = ?
We know that,
The perimeter of a rectangle = 2(l + b)
⇒ 2(2(x + 1) + b) = 60
⇒ 2(x + 1) + b =[tex]\dfrac{60}{2} =30[/tex]
⇒ b = 30 - 2(x + 1)
⇒ b = 30 - 2x - 2
⇒ b = 28 - 2x
⇒ b = 2(14 - x)
∴ The width of a rectangle(b) = 2(14 - x)
Hence, the width of a rectangle(b) = 2(14 - x)
The sum of 2 consecutive odd integers is 92. Find the numbers.
If x represents the smaller integer, then the larger integer is
Answer: If x is odd then x + 2 is going to be the next odd integer
Step-by-step explanation:
Set up the equation and solve.
x + x + 2 = 92 This is the equation. Collect like terms.
2x + 2 = 92 Subtract 2
2x = 90 divide by 2
x =45
x + 2 = 47
45 + 47 = 92.
So x + 2 is the next odd number after x.
Answer:
x + 2
Step-by-step explanation:
What is the probability that she draws a card less than 5
Answer:
Number of favourable outcomes i.e. ‘a card of diamond’ is 13 out of 52 cards. Therefore, probability of getting ‘a card of diamond’ Number of favorable outcomes P(D) = Total number of possible outcome = 13/52 = 1/4 (v) a king or a queen. Total number of king is 4 out of 52 cards. Total number of queen is 4 out of 52 cards
Step-by-step explanation:
Answer:
4/13
Step-by-step explanation:
16/52 = 4/13
Write the following quadratic in standard form. Then identify a, b, and c.
y² - 7y + 6 = -6
Answer:
Therefore,
[tex]y^{2}-7y+12=0[/tex] ....Standard form.
[tex]a=1\\b=-7\\c=12[/tex] ......Numerical Coefficients.
Step-by-step explanation:
Given:
[tex]y^{2}-7y+6=-6[/tex]
To Find:
a ,b , c
Solution:
Quadratic:
A quadratic equation is an equation of the second degree.
Meaning it contains at least one term that is squared.
The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Here it is given as
[tex]y^{2}-7y+6=-6[/tex]
Adding 6 on both the side we get
[tex]y^{2}-7y+6+6=-6+6[/tex]
[tex]y^{2}-7y+12=0[/tex]
Which is Quadratic Equation in STANDARD form Where,
[tex]a=1\\b=-7\\c=12[/tex]
Therefore,
[tex]y^{2}-7y+12=0[/tex] ....Standard form.
[tex]a=1\\b=-7\\c=12[/tex] ......Numerical Coefficients.
Determine whether a triangle with the given side lengths is a right triangle,
Side lengths
Right triangle
Not a right
triangle
Not enough
information
7, 24, 25
12, 16, 20
18. 32.40
4,7,8
To determine whether a triangle with given side lengths is a right triangle, we can use the Pythagorean theorem. If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Explanation:To determine whether a triangle with given side lengths is a right triangle, we can use the Pythagorean theorem. According to the theorem, if the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse), then the triangle is a right triangle.
For the side lengths 7, 24, 25, we have 7² + 24² = 49 + 576 = 625, which is equal to 25². Therefore, this triangle is a right triangle.For the side lengths 12, 16, 20, we have 12² + 16² = 144 + 256 = 400, which is not equal to 20². Therefore, this triangle is not a right triangle.For the side lengths 18, 32, 40, we have 18² + 32² = 324 + 1024 = 1348, which is not equal to 40². Therefore, this triangle is not a right triangle.For the side lengths 4, 7, 8, we have 4² + 7² = 16 + 49 = 65, which is not equal to 8². Therefore, this triangle is not a right triangle.Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 words. A clerk types 4,160 words in one hour and 20 minutes. The salary and benefits for the clerk cost the firm approximately $17.65/hour. How much will recreating the manual cost the firm?
Answer:
The manual cost that will take to recreate by the firm is $ 90.51
Step-by-step explanation:
Given:
Number of words the manual contains= 16000
Number of words typed by a clerk in one hour and 20 minutes = 4160
To Find:
The total cost for recreating the manual = ?
Solution:
Step 1: Finding the Number of hours is need to type 4160 words :
= [tex]1\frac{20}{60}[/tex] hours
[tex]\\\\=1\frac{1}{3}[/tex] hours
[tex]\\\\=\frac{4}{3}[/tex] hours
So it takes [tex]\frac{4}{3}[/tex] hours to type 4160 word
Step 2 : Finding the Number of hours is needed to type 1 word
= [tex]\frac{4160}{\frac{4}{3}}[/tex]
=[tex]4160 \times \frac{3}{4}[/tex]
= 3120 words per hour
Step 3 : Finding the Number of hours is needed to type 16000 words
=[tex]\frac{\text{ total number of words}} {\text{ number of words written per hour}}[/tex]
Substituting the values
= [tex]\frac{16000}{3120}[/tex]
= 5.1282 hours
Step 4 : Finding the cost for recreating the manual.
= number of hours x cost per hour
= 5.1282 x $17.65
= 90.51
Recreating the manual will cost the firm approximately $90.59.
To determine the cost of recreating the manual, we need to calculate both the time it will take for the clerk to type the entire manual and the total cost based on the clerk's wage.
First, we calculate the time required to type the manual. The clerk types 4,160 words in 1 hour and 20 minutes. To find out how many minutes that is, we convert 1 hour to minutes:
1 hour = 60 minutes
Therefore, 1 hour and 20 minutes is:
60 minutes + 20 minutes = 80 minutes
Now, we need to find out how many 80-minute blocks are required to type 16,000 words. We set up a proportion:
4,160 words / 80 minutes = 16,000 words / x minutes
Solving for x gives us:
x = (16,000 words x 80 minutes) / 4,160 words
x = (16 x 80) / 4.16
x = 1,280 / 4.16
x ≈ 308 minutes
Next, we convert the total time from minutes to hours since the clerk is paid by the hour:
308 minutes / 60 minutes per hour ≈ 5.13 hours
Now, we calculate the total cost by multiplying the total hours by the clerk's hourly wage, including benefits:
Total cost = 5.13 hours x $17.65/hour
Total cost ≈ $90.59
Therefore, recreating the manual will cost the firm approximately $90.59.