Answer:
208.85
Step-by-step explanation:
It is 208.85 because when you have .8 + .05 =.85
Answer:
Step-by-step explanation:
the total amount of water used that day = 526.80 - 318.05 = 208.75 gallons.
Mrs. chill has 26 yards of ribbon. She places equal amounts on 3 different spools to sell. How much ribbon in yards are on each spool
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
)
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.
Your $54200 2 year car loan is at 15.1% compounded annually. What will you have paid for your car after 2 years?
To find the total amount paid for the car after 2 years, we use the compound interest formula [tex]A = P(1 + r)^n[/tex], where P is the initial loan amount, r is the interest rate, and n is the number of years. Substitute in the given values to calculate the final amount.
Explanation:To calculate the total amount paid for the car after 2 years, we apply the formula for compound interest. The formula is[tex]A = P(1 + r)^n[/tex], where A is the final amount, P is the principal (or initial amount), r is the interest rate, and n is the number of periods. In this case, P = $54200, r = 15.1% or 0.151, and n = 2.
Plugging these values into the formula:
[tex]A = $54200 * (1 + 0.151)^2[/tex].
Once you solve the equation, you will find the total amount paid for the car after 2 years.
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Final answer:
Using the compound interest formula, you will have paid $71,787.31 for a $54,200 car loan at 15.1% interest compounded annually after 2 years.
Explanation:
To calculate the total amount paid for a car after 2 years on a loan of $54,200 with an interest rate of 15.1% compounded annually, we'll use the formula for compound interest:
[tex]A = P (1 + r/n)^{(nt)}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money)r is the annual interest rate (decimal)n is the number of times that interest is compounded per yeart is the time in yearsFor this car loan:
P = $54,200r = 15.1% = 0.151n = 1 (since interest is compounded annually)t = 2 yearsSubstitute the values into the formula:
A = $54,200 (1 + 0.151/1)^(1*2)
A = $54,200 (1 + 0.151)^2
A = $54,200 (1.151)^2
Calculate the amount:
A = $54,200 * (1.151)^2
A = $54,200 * 1.324301
A = $71,787.31
After 2 years, you will have paid $71,787.31 for your car.
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
Rachel has a rope that is 5 meters long . She cuts away a piece that is 1.32 meters long . How long is the remaining piece
somebody can help me with this problem p;lz i really really need help if you answer thius question you gonnna be the best person in the world
The length of FD = 0.76 feet.
Step-by-step explanation:
Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet
To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.
[tex]\tan \theta=\frac{o p p}{a d j}[/tex]
From the given data, θ=83°, [tex]o p p=6.2[/tex] and [tex]a d j=x[/tex]
Substituting these values in the tangent formula, we get,
[tex]\begin{array}{r}{\tan \theta=\frac{o p p}{a d j}} \\{\tan 83^{\circ}=\frac{6.2}{x}}\end{array}[/tex]
Using calculator, the value of [tex]\tan 83^{\circ}=8.14[/tex] and substituting and solving the equation, we get,
[tex]\begin{aligned}8.14 &=\frac{6.2}{x} \\x &=\frac{6.2}{8.14} \\x &=0.76\end{aligned}[/tex]
Thus, the length of FD = 0.76 feet.
What is the width to the length?
Answer:
[tex]\frac{19}{44}[/tex]
Step-by-step explanation:
The ratio of width : length = [tex]\frac{57}{132}[/tex]
To simplify divide ( cancel ) the numerator/ denominator by 3
= [tex]\frac{19}{44}[/tex] ← in simplest form
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)
5)
Adam owns a dog walking business. The net profit, p, for one day is given by the equation p = 15d - 20, where d is the number
of dogs walked in one day. What does the number 20 most likely represent?
A)
The amount, in dollars, of one day of operating cost for Adam.
The amount, in dollars, that Adam is paid to walk one dog.
C)
The average number of dogs walked by Adam per day.
D)
The total number of dogs walked by Adam per day.
Answer:
A
Step-by-step explanation:
It would be A because it’s a negative 20, meaning he’s losing money while 15d represents how many dogs he’s walking and the cost of it.
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.❤
Help giving brainliest
Answer:
i think 2m
Step-by-step explanation:
3 plus 3 is 6 minus 8
A model of an airplane has a length of 2.5 feet. If the scale used to create the model was 1 foot = 250 feet, what is the actual length of the airplane?
Answer:
Step-by-step explanation:
1 ft = 250 feet....so 2.5 ft = (2.5 * 250) = 625 feet <==
The actual length of airplane using the scale factor is; 625 feet.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
We are given that;
Length of Airplane = 2.5 feet
Now, we want to find the actual length of the airplane with a scaled length of 2.5 feet.
1 foot = 250 feet,
Thus, the actual length of airplane= (2.5 x 250)
the actual length of airplane= 625 ft
Hence, The actual length of airplane using the scale factor is; 625 feet.
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(a) Write 389% as a decimal.
(b) Write 0.005 as a percentage.
Answer:
a)3.89 b)0.5%
Step-by-step explanation:
389%= 389/100
0.005*100%
=0.5%
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.
Find the value (1.2) power 3
Answer:
1.728 is the correct 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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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
Can someone please help with this.
The points that represent the relationship are (2,4), (5,7), (7,9).
Step-by-step explanation:
1. It is given that Brent was always 2 meters in front of Joel.
2. In the first case, when Joel is at 2 meters, Brent will be 2 meters in front of that, i.e. at 2 meters + 2 meters = 4 meters. Hence, when Joel is at 2 meters distance from the school, Brent will be at 4 meters distance from the school. Hence, the point on the coordinate grid is (2,4) here.
3. Similarly, in the second case, when Joel is at 5 meters, Brent will be 2 meters in front of that, i.e. at 5 meters + 2 meters = 7 meters. Hence, the point on the coordinate grid is (5,7) here.
4. Similarly, in the third case, when Joel is at 7 meters, Brent will be 2 meters in front of that, i.e. at 7 meters + 2 meters = 9 meters. Hence, the point on the coordinate grid is (7,9) here.
please help me with these
(a) The volume of the swimming pool is 330 m³
(b) The surface area of the model swimming pool is 30.25 cm².
How to calculate the volume of the swimming pool?(a) The volume of the swimming pool is calculated by applying the following formula as follows;
V = Ah
where;
A is the surface areah is the depth of the poolV = 300 m² x 1.1 m
V = 330 m³
(b) The surface area of the model swimming pool is calculated by applying the following formula;
Assuming the model swimming pool is a square.
S.A = L²
S.A = 5.5 cm x 5.5 cm
S.A = 30.25 cm²
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Help me please I need to know the answer to this question in under an hour :-)
Answer:
7/15
Step-by-step explanation:
You can put in your graphing calculator if you have one
Answer:
Step-by-step explanation:
A rectangle that is 8 centimeters long has an area of 100 square centimeters. A similar rectangle has an area of 16 square centimeters. What is the width of the smaller rectangle
Answer:
The width of the smaller rectangle is 5 centimeters
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller rectangle
y ----> the area of the larger rectangle
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]x=16\ cm^2\\y=100\ cm^2[/tex]
substitute
[tex]z^{2}=\frac{16}{100}[/tex]
square root both sides
[tex]z=\frac{4}{10}[/tex]
step 2
Find the width of the larger rectangle
we know that the area is equal to
[tex]A=LW[/tex]
we have
[tex]A=100\ cm^2\\L=8\ cm[/tex]
substitute
[tex]100=8W\\W=12.5\ cm[/tex]
step 3
Find the width of the smaller rectangle
To find out the width of the smaller rectangle, multiply the width of the larger rectangle by the scale factor
so
[tex]12.5(\frac{4}{10})=5\ cm[/tex]
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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Half of P is at least -7
Answer:
[tex]p \geqslant - 14[/tex]
Step-by-step explanation:
[tex] \frac{p}{2} \geqslant - 7 \\ p \geqslant - 14[/tex]
James is planning on driving his car to the family reunion. The distance to the
meeting place is 892 miles. If his car gets 29 mpg, how many gallons of gas
will he need?
A. 42.7
O B. 38.9
O C. 36.1
O D. 30.8
Answer:
"D" (and any subsequent words)
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
PLEASE! HELP ASAP! Which does not explain the effect of the author's use of dialogue?
A. It helps the reader understand what characters are thinking in the story.
B. It helps the reader understand the speaker's feelings.
C. It helps the reader understand the speaker's thoughts.
Or D. It helps the reader make guesses about what the speaker thinks.
Answer: D?
Step-by-step explanation:
Consecutive odd integers of 201
Question :
The sum of three consecutive odd integers is 201. Find the integers.
Answer:
The Integers are 65,67,69.
Step-by-step explanation:
Let x be any number. when it is multiplied by 2 it becomes an even number.
So, 2x is an even number. Now adding an odd number to 2x , it becomes an odd number
so
First odd number be 2x+1
Second odd number be 2x+3
Third odd number be 2x+5
Now the sum of these three odd number gives 210,
That is
(2x+1) +(2x+3) +(2x+5) = 201
2x+1+2x+3+2x+5 =201
6x + 9 = 201
6x = 201- 9
6x = 192
[tex]x =\frac{192}{6}[/tex]
x = 32
Hence
The first odd number is (2x+1) = (2(32)+1) = 64+1 =65
The second odd number is (2x+3) = (2(32)+3) = 64+3 =67
The third odd number is (2x+1) = (2(32)+5) = 64+5 =69
A dvd collection had 6 comedies, 10 westerns, 14 romance, 3 horror, and 7 mysteries. what percent of the collection was comedies?
15% of the collection was comedies.
Step-by-step explanation:
Given,
Number of comedies = 6
Number of westerns = 10
Number of romance = 14
Number of horror = 3
Number of mysteries = 7
Total = 6+10+14+3+7= 40
Percent of comedies = [tex]\frac{Number\ of\ comedies}{Total\ number}*100[/tex]
Percent of comedies = [tex]\frac{6}{40}*100=\frac{600}{40}[/tex]
Percent of comedies = 15%
15% of the collection was comedies.
Keywords: percentage, addition
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-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
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5
Oy-4 = (x + 2)
Oy+4 = }} (x-2)
O y+2 = {(x-4)
Oy-2=}} (x +4)
The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is Oy+4 = (x-2).
Explanation:The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is option B:
Oy+4 = (x-2)
To understand why this equation represents the line, we can use the slope-intercept form, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The given slope is 2/5, so the equation becomes y = (2/5)x + b. Plugging in the coordinates of the point (-2, 4), we can solve for 'b' and find that it is 4. Therefore, the equation representing the line is y = (2/5)x + 4.