Answer:
t = 56.67
Step-by-step explanation:
Remark
If you are given a rhombus, what you are being told is that all 4 sides are equal. So WX = XY
Equation
6t - 82 = 3t + 88 Add 82 to both sides
Solution
6t - 82 + 82 = 3t + 88 + 82 Combine6t = 3t + 170 Subtract 3t from both sides6t - 3t = 3t - 3t + 170 Combine3t= 170 Divide by 3t = 170/3t = 56.67Truck traveling at an average rate of 45 Miles per hour leaves a rest stop. 15 minutes later a car traveling and average rate of 60 mph at least the same rest stop traveling the same route. How long will it take for the card to catch up with the trap?
you need at least 5000 points to earn a gift card from your bank. you currently have 2700 pints.
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
A) 5000 - 2700 = 2300 points needed
B) 2700 + 400 = 3100
the inequality would change to:
5000 - 3100 = 1900 points needed
The student needs to accumulate an additional 2300 points to reach the 5000-point requirement for a gift card from the bank. They currently have 2700 points.
Calculating Points Needed for a Reward
To calculate how many more points a student needs to earn a gift card from the bank, we need to subtract the points the student already has from the required points for the gift card. The student currently has 2700 points and needs at least 5000 points in total. If we subtract the current points from the required points, we have:
Required points for the gift card: 5000 points
Current points: 2700 points
Points needed: 5000 points - 2700 points = 2300 points
The student needs an additional 2300 points to earn a gift card from the bank.
While accumulating points, a student might consider if they could benefit from a very convenient credit card that offers a free Rewards program, unsurpassed card protection, free PhotoCard, free Purchase Cover, personal customer service, and wide acceptance. Such a card is not only accepted at over 400,000 locations in Australia but also more than 14 million establishments worldwide and offers cash access at over 341,000 ATMs.
best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, while mary was charged $289 for 5 days and 600 miles. what does best rental charge per day and per mile?
$289 is better because its cheaper per mile
Could someone please help me asap? Thanks in advance! :)
Answer:
A
Step-by-step explanation:
the standard form of a quadratic equation is
ax² + bx + c = 0 : a ≠ 0
obtain (5 + x)(5 - x) = 7 in this form by expanding the factors
25 - x ² = 7 ( subtract 7 from both sides )
18 - x² = 0 ( multiply through by - 1 )
x² - 18 = 0 ← in standard form
with a = 1, b= 0 and c = - 18 → A
Find the measure of angle x.
Which ratio forms a proportion with 1620 ? A. 4/10 B. 32/50 C. 8/12 D. 4/5
Answer:
Option D is correct.
[tex]\frac{4}{5}[/tex] is the ratio form a proportion with [tex]\frac{16}{20}[/tex]
Step-by-step explanation:
Proportion states that the two fraction or ratios are equal.
i.e, [tex]\frac{a}{b} = \frac{c}{d}[/tex]
Given the ratio [tex]\frac{16}{20}[/tex]
To find the proportion of this ratio forms.
[tex]\frac{16}{20}[/tex]
Divide top and bottom by 4 , we have;
[tex]\frac{\frac{16}{4} }{\frac{20}{4} }[/tex]
Simplify:
[tex]\frac{4}{5}[/tex]
therefore, a ratio form a proportion with [tex]\frac{16}{20}[/tex] is, [tex]\frac{4}{5}[/tex]
Option D, 4/5 forms a proportion with 16:20.
To determine which ratio forms a proportion with 16:20, we must find a ratio equivalent to 16:20.
We start by simplifying 16:20. Both 16 and 20 can be divided by their greatest common divisor, which is 4:
16 ÷ 4 = 4
20 ÷ 4 = 5
This gives us the simplified ratio of 4:5. Now, we need to check which of the given options matches 4:5.
4/10: When simplified, 4:10 becomes 2:5, which is not equal to 4:5.
32/50: When simplified, 32:50 becomes 16:25, which is not equal to 4:5.
8/12: When simplified, 8:12 becomes 2:3, which is not equal to 4:5.
4/5: This ratio is already simplified and equal to 4:5.
Therefore, the ratio 4:5 forms a proportion with 16:20.
Correct Question
Which ratio forms a proportion with 16:20 ?
A. 4/10
B. 32/50
C. 8/12
D. 4/5
Javier bought a 20- ounce smoothie that contains 450 calories. how many calories does the smoothie contain per ounce?
Answer:
22.5 calories per oz.
Step-by-step explanation:
Simplify. Find the amount for 1 oz. Divide 450 with 20
450/20 = 22.5
22.5 calories per oz.
~
Choose the graph below that correctly represents the equation 3x + 9y = −18.
pls hurry
Answer:
B
Step-by-step explanation:
Graph the line by first using slope and y- intercept
Slope=-1/3
y-intercept =-2
(0,-2)
(1,-7/3)
Then graph those two points and that graph is B
Answer:
B Please give brainliest
Step-by-step explanation:
I took points from the line and put it into the equation.
(0,-2)
3(0) + 9(-2) = -18 (This works out)
Next....
(-3,-1)
3(-3) + 9(-1) = -18 (This also works)
Anyone know? Will mark brainliest!
Answer:
I believe than answer is A make sure tho im only in 6 th grade
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
This will give you the responses of the functions.
The x values arent the responses.
PLSSSSSSSSSSSS HELP ME!!!
What is the best approximation of the solution to the system? (Round to the nearest whole number).
Answer:
(1,7)
Step-by-step explanation:
You are given the system of two equations
[tex]\left\{\begin{array}{l}x-y=-6\\5x+3y=24\end{array}\right..[/tex]
Each equation represents straight line in the diagram. The point of intersection between these two lines represents the solution of the system of two equations. From the diagram the best approximation of the solution of the system rounded to the nearest whole number is (1,7).
Or you can solve this system algebraically. Express x from the first equation
[tex]x=y-6[/tex]
and substitute it into the second equation:
[tex]5(y-6)+3y=24,\\ \\5y-30+3y=24,\\ \\8y=54,\\ \\y=\dfrac{54}{8}=\dfrac{27}{4}=6.75\approx 7.[/tex]
Then
[tex]x=6.75-6=0.75\approx 1.[/tex]
noah bought 4 tacos and paid $6. At this rate,how many tacos could he buyfof $15?
Answer:
10
Step-by-step explanation:
Noah spends $1.50 for every taco, meaning that the cost is 3/2 of the amount of tacos. To get the amount of tacos, find 2/3 of 15.
for which equation and the inequalities given belown is x=3 not a solution? f)-7x-9=12 g)x-2<-4 h)3x-2=-11 j)-5x-8>7
Answer: f) -7x -9= 12
Step-by-step explanation:
Step 1: Solve the equation. To solve the equation, add 9 to both sides. This is what you would have now. ( -7x = 21 )
Step 2: Now divide -7 from both sides. This is what you would have now.
( x= -3)
what is the product a-3/15a times 5/a-3
For this case we must find the following product:
[tex]\frac {a-3} {15a} * \frac {5} {a-3} = \frac {5 (a-3)} {15a (a-3)}[/tex]
We know that [tex]\frac {(a-3)} {(a-3)} = 1[/tex]
So:
[tex]\frac {5 (a-3)} {15a (a-3)} = \frac {5} {15a}[/tex]
Dividing the numerator and denominator by "5":
[tex]\frac {5} {15a} = \frac {1} {3a}[/tex]
Thus, the product is[tex]\frac {1} {3a}[/tex]
Answer:
[tex]\frac {1} {3a}[/tex]
An arithmetic sequence has t1 = 3, t2 = 10. Find tn, Sn.
Answer:
see explanation
Step-by-step explanation:
the n th term of an arithmetic sequence is
[tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)d
given [tex]t_{1}[/tex] = 3 and [tex]t_{2}[/tex] = 10, then
[tex]t_{2}[/tex] = 3 + d = 10 ⇒ d = 10 - 3 = 7
[tex]t_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][2[tex]t_{1}[/tex] + (n - 1)d ]
= [tex]\frac{n}{2}[/tex][(2 × 3) + 7(n - 1) ]
= [tex]\frac{n}{2}[/tex](6 + 7n - 7 )
= [tex]\frac{n}{2}[/tex](7n - 1)
= [tex]\frac{7}{2}[/tex] n² - [tex]\frac{1}{2}[/tex] n
The population of a town is increasing by
611 people per year. State whether this growth is linear or exponential. If the population is 1800 today, what will the population be in
five years?
The population increase in the town is linear, and with a constant increase of 611 people per year, the population is projected to be 4855 in five years.
Explanation:The population of a town described is increasing at a constant rate, therefore, this represents linear growth. Each year, the population increases by a fixed number, in this case, 611. This contrasts to exponential growth, where the population would increase by a fixed percentage.
To calculate the population in five years, we multiply the rate of increase (611) by the number of years (5) and add the starting population. So, 611*5 = 3055. Adding the current population of 1800 gives us 4855.
Therefore, the population of the town in five years will be 4855, given the linear growth rate holds steady.
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Write an equation in point slope form for the line through the given point with the given slope (7,-9);m=4/5
Possible answers in pic
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have m = 4/5 and the point (7, -9). Substitute:
[tex]y-(-9)=\dfrac{4}{5}(x-7)\\\\\boxed{y+9=\dfrac{4}{5}(x-7)}[/tex]
Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope. Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Hence, the option 2 is the correct option.
Given Information-The line passes through the point (7,-9).
The slope of the line is 4/5.
Equation of the line-Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope.
The standard form of the equation of the line can be given as,
[tex](y-y_1)=m (x-x_1)[/tex]
Here m is the slope of the line.
Thus, the equation of the line passes through (7,-9) having the slope 4/5 can be given as,
[tex](y-y_1)=m (x-x_1)[/tex]
Put the values,
[tex](y-7)=\dfrac{4}{5} (x-(-9))[/tex]
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Thus the option 2 is the correct option.
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math question. shown below
Answer:(-2,8) (-1,5) (0,2) (1,-1) (2,-4)
Step-by-step explanation:
the sales tax on a $30 purchase was $2.40
I need a lot of help
I HATE MATH
Answer,
= 4
Explanation,
So, basicly they want you to put the numbers (1/5) & (15) in place of the letters (c) & (d). Let's do that,
5 * 1/5 + 1/5 * 15
So, now that we have replaced the letters with numbers we simply simplify,
5 * 1/5 = 1
1/5 * 15 = 3
3 + 1 = 4
Hope this helps :-)
evaluate the exponent
(-6) EE -3
Answer:
Hence final answer is [tex]-\frac{1}{216}[/tex].
Step-by-step explanation:
Expression is not typed in proper format but as per given instruction "evaluate the exponent", I think it is:
[tex]\left(-6\right)^{-3}[/tex]
So let's simplify that:
[tex]\left(-6\right)^{-3}[/tex]
Apply formula x^-m=1/x^m
[tex]=\frac{1}{\left(-6\right)^{+3}}[/tex]
[tex]=\frac{1}{\left(-6\right)^3}[/tex]
[tex]=\frac{1}{\left(-6\right)\left(-6\right)\left(-6\right)}[/tex]
[tex]=\frac{1}{-216}[/tex]
[tex]=-\frac{1}{216}[/tex]
Hence final answer is [tex]-\frac{1}{216}[/tex].
what is the equation of the line that is perpendicular to 5x+6y=16 and passes through the point (-5,7)?
Answer:
y=6/5x+13
Step-by-step explanation:
6y=-5x+16
Divide by 6
y=-5/6x + 8/3
Slope: 6/5 (opposite reciprocal)
7=-5(6/5)+b
7=-6+b
b=13
By The triangle inequality theorem and which set of side lengths could create a triangle? A 5, 10, 4. B. 5, 7, 13. C. 7,9,3. D. 10,4,5
Answer:
Correct choice is C
Step-by-step explanation:
Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Thus, if a, b and c are triangles sides, then
[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]
A. Consider lengths a=5, b=10 and c=4. Since
[tex]a+c=5+4=9<10=b,[/tex]
these side lengths couldn't create triangle.
B. Consider lengths a=5, b=7 and c=13. Since
[tex]a+b=5+7=12<13=c,[/tex]
these side lengths couldn't create triangle.
C. Consider lengths a=7, b=9 and c=3. Since
[tex]a+b=7+9=16>3=c,\\ \\a+c=7+3=10>9=b,\\ \\b+c=9+3=12>7=a.[/tex]
These side lengths could form a triangle.
D. Consider lengths a=10, b=4 and c=5. Since
[tex]b+c=4+5=9<10=a,[/tex]
these side lengths couldn't create triangle.
Answer:
C?
Step-by-step explanation:
Lanny’s credit card has an apr of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below. What is the new balance at the end of month 7?
A. $83.39
B. $91.98
C. $99.00
D. $74.43
Answer:
Option A - $83.39
Step-by-step explanation:
Given : Lanny’s credit card has an APR of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below.
To find : What is the new balance at the end of month 7?
Solution :
From the table, the information of 7 month
Previous balance = $74.33
Payment = $91.98
Unpaid balance = Previous balance - Payments
= $74.33 - $91.98
Unpaid balance = -$17.65
Finance charge = $2.04
New charges = $99
New balance = Unpaid balance + finance charge + new charges
New balance = -$17.65 +$2.04+ $99
New balance =$83.39
Therefore, Option A is correct.
To solve -3 = -19 + b 5 What step would you use
Answer:
When you say b 5, do you mean b+5?
Step-by-step explanation:
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C = 39°F = °C rounded to the nearest tenth of a degree
Answer:
1. -9 2. 160
3. 3.9
Step-by-step explanation:
I dd the assignment
The equation in standard form that represents the relationship between Fahrenheit (F) and Celsius (C) is 5F + (5/9)(F - 32) = 39.
Explanation:In order to represent the relationship between Fahrenheit (F) and Celsius (C) in standard form, we can use the conversion formula:
C = (5/9)(F - 32)
Given the equation 5F + C = 39, we can substitute the value of C from the conversion formula into the equation:
5F + (5/9)(F - 32) = 39
Simplifying the equation further:
45F + 5(F - 32) = 351
45F + 5F - 160 = 351
Combine like terms:
50F - 160 = 351
Add 160 to both sides:
50F = 511
Divide both sides by 50:
F = 10.22
Therefore, the equation in standard form that represents the relationship between F (degrees Fahrenheit) and C (degrees Celsius) is 5F + (5/9)(F - 32) = 39.
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The complete question is here:
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C = 39°F = °C rounded to the nearest tenth of a degree
Freezing Temperatures (°)
Column A. F
1. -13
2. -4
3. 5
4. 14
5. 23
Column B. C
A. -25
B. -20
C. -15
D. -10
E. -5
Which representation represents a proportional relationship?
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can complete the same job in 40 minutes. If both computers are working together, how long will it take them to do the job? Do not do any rounding.
Answer:
If both computers are working together, it will take 24 minutes to do the job
Step-by-step explanation:
It is given that,
There are two computers.The slower computer can send all the company's email in 60 minutes.
The faster computer can complete the same job in 40 minutes
To find the LCM of 40 and 60
LCM (40, 60) = 120
To find efficiency of 2 computers
Let x be the efficiency of faster computer and y be the efficiency of faster computer
x = 120/40 = 3
y = 120/60 = 2
then, x + y = 3 + 2 = 5
Therefore efficiency of both the computer work together = x + y =5
To find the time taken to work both the computer together
time = 120/5 = 24 minutes
The slower computer works at a rate of 1/60 of the task in a minute, and the faster computer works at a rate of 1/40 per minute. When they work together, they perform 1/24 of the task per minute, and hence, they would complete the task in 24 minutes.
Explanation:The subject of this question is Mathematics, specifically focused on the topic of rates and time. The slower computer sends all the company's email in 60 minutes, which implies it can perform 1/60 of the task per minute. The faster computer can send all the company's email in 40 minutes, inferring that it works at a rate of 1/40 of the task per minute.
When both computers are working together, their rates of working are added together, therefore they perform (1/60) + (1/40) = 1/24 of the task per minute. The reciprocal of this fraction gives the total time it would take both computers to complete the task, i.e., 24 minutes when working together. So, it would take 24 minutes for both computers to send all the company's emails if they work together.
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J. Michael filled the watering can 6 times to water the small tomato plants. The watering can held the quarts of water. How many gallons of water did he use?
Answer:
1.5 gallons
Step-by-step explanation:
Plz help I need by tonight
HELP PLEASE Simplify the expression: (0.07b3m+7)÷( 1 5 bm−1)
The simplified expression of the expression (0.07b³m + 7) ÷ (15bm⁻¹) is (0.07b³m + 7) ÷ (15bm⁻¹)
How to simplify the expressionTo simplify the expression, we have
Find the greatest common factor (GCD) of the numerator and denominator. Divide the numerator and denominator by the GCD.The GCD of the numerator and denominator is 1.
So, the simplified expression is:
(0.07b³m + 7) ÷ (15bm⁻¹) = (0.07b³m + 7) ÷ (15bm⁻¹)
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