Answer: x=20
y= 17/4
Step-by-step explanation:
x=37-4y
111-16y=43
y=17/4
x=20
At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the local farmer’s market. Who got the better deal?
At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the local farmer’s market. Who got the better deal?
Gabriella got the better deal, as she paid slightly less per pound for the tomatoes.
To determine who got the better deal, we need to calculate the price per pound of tomatoes for each person.
For Clay:
Price per pound = Total price / Total pounds
Price per pound = $13.50 / 214 pounds ≈ $0.0631 per pound
For Gabriella:
Price per pound = Total price / Total pounds
Price per pound = $6.75 / 112 pounds ≈ $0.0607 per pound
Comparing the two, we see that Gabriella paid approximately $0.0607 per pound, while Clay paid approximately $0.0631 per pound.
3. Ellen has 3 times as many CD's as Sammy. Together they have 32 CD's. How many does
each person have?
Answer:
8
Step-by-step explanation:
sammy has 8 and ellen has 24 then add sammy's 8
24+8=32
Final answer:
By setting up a system of equations, we find that Sammy has 8 CD's and Ellen has 24 CD's.
Explanation:
The student's question involves solving a system of equations to determine how many CD's each person has.
Let's define Ellen's number of CD's as E, and Sammy's number of CD's as S.
According to the question, Ellen has 3 times as many CD's as Sammy, so we can write this as
E = 3S.
We also know that together they have 32 CD's, which can be written as
E + S = 32.
By substituting the first equation into the second, we get
3S + S = 32
4S = 32.
Dividing both sides by 4 gives us
S = 8.
Therefore, Sammy has 8 CD's.
To find out how many CD's Ellen has, we substitute S back into the first equation:
E = 3 * 8
E = 24.
So Ellen has 24 CD's.
Please answer this thank you.
11: 4,874 > 4,784 > 4,687
12: 8.09 > 8.057 > 8.023
13: 15.820 > 15.280 > 15.000
14: 43,628 > 40,628 > 34,628
15: 395.050 > 395.009 > 395.005
SV perpendicular RT RSU=(17x-3) and UST=(6x-1) find each measure
Answer:
Part 1) x=8
Part 2) m∠RSU=133°
Part 3) m∠UST=47°
Part 4) m∠WSV=43°
Part 5) m∠VSU=137°
Step-by-step explanation:
see the attached figure to better understand the problem
Part 1) Find the value of x
we know that
m∠RSU and m∠UST are supplementary angles (by linear pair)
so
m∠RSU+m∠UST=180°
we have
m∠RSU=(17x-3)°
m∠UST=(6x-1)°
substitute the given values and solve for x
[tex](17x-3)\°+(6x-1)\°=180\°[/tex]
[tex](23x-4)=180[/tex]
[tex]23x=180+4[/tex]
[tex]23x=184[/tex]
[tex]x=8[/tex]
Part 2) Find the measure of m∠RSU
we have
m∠RSU=(17x-3)°
substitute the value of x
m∠RSU=17(8)-3=133°
Part 3) Find the measure of m∠UST
we have
m∠UST=(6x-1)°
substitute the value of x
m∠UST=6(8)-1=47°
Part 4) Find the measure of m∠WSV
we know that
m∠UST=m∠RSW -----> by vertical angles
so
m∠RSW=47°
m∠RSW+m∠WSV=90° ----> given problem (SV perpendicular RT)
substitute the value of m∠RSW and solve for m∠WSV
47°+m∠WSV=90°
m∠WSV=90°-47°=43°
Part 5) Find the measure of m∠VSU
we know that
m∠VSU=m∠VST+m∠UST
we have
m∠VST=90° ----> given problem (SV perpendicular RT)
m∠UST=47°
substitute
m∠VSU=90°+47°=137°
Find two consecutive even integers whose sum is 126. write an equation.
Answer: Ist integer = 32
2nd integer = 34
Step-by-step explanation: SEE THE ATTACHED
Sandra plays a matching game. In order to advance to the next level, she must score at least 10 points.she scores 18 points for correct matches and -6 points for incorrect matches. Did Sandra make it to the next level
Sandra made it to the next level in the matching game.
Explanation:Sandra's Matching GameSandra needs to score at least 10 points to advance to the next level. She scores 18 points for correct matches and -6 points for incorrect matches. To determine if Sandra made it to the next level, we can add up her scores.
18 - 6 = 12 points
Sandra scored 12 points, which is greater than the required 10 points, so she made it to the next level.
Learn more about Matching game here:https://brainly.com/question/31822306
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3.4 x 10^4 + 7.1 x 10^5
Answer:
744,000
Step-by-step explanation:
3.4 * 10 * 10 * 10 * 10 + 7.1 * 10 * 10 * 10 * 10 *10
3.4 * 10000 + 7.1 * 100000
34000 + 710000
Inputs would include
a. sales receipts.
b. none of the above
c. an income statement.
d. a balance sheet.
Answer:
none of the above i think
Step-by-step explanation:
There are 302 languages spoken in China. Of those, 276 are indigenous. What percent of the languages spoken in China are indigenous?
Answer:
91.39%.
Step-by-step explanation:
That is 276 * 100 / 302
= 91.39%.
Fred deposited $1,000 into an account that earns 2 percent, compounded annually. How much money will he have in 5 years?
A.
$1000
B.
$1100
C.
$1552
D.
$1291
E.
$1105
Henry uses 3/8 cup of sugar for 2/7 batch of hus brownies. How much sugar is needed for a full batch of brownies
Answer: [tex]\frac{21}{16}\ cups\ of\ sugar\approx1.3\ cups\ of\ sugar[/tex]
Step-by-step explanation:
Let be "x" the cups of sugar needed for a full batch of brownies.
You need to analize the information provided in the exercise.
Since Henry uses [tex]\frac{3}{8}[/tex] cups of sugar for [tex]\frac{2}{7}[/tex] batch of brownies, you can write the following proportion:
[tex]\frac{\frac{3}{8}}{\frac{2}{7}}=\frac{x}{1}[/tex]
Finally, you must solve for "x".
Therefore, you get the following result:
[tex]x=\frac{21}{16}\ cups\approx1.3\ cups[/tex]
kara borrowed $3650 for one year at an annual interest rate of 16% how much did kara pay in interest show work
Kara will pay $584 in interest for a loan of $3650 at an annual interest rate of 16% after one year, calculated using the simple interest formula I = PRT.
Explanation:To calculate the amount of interest Kara pays on a loan of $3650 at an annual interest rate of 16%, we use the formula for simple interest, which is:
I = PRT
Where:
I is the interestP is the principal amount (the initial amount of the loan)R is the annual interest rate (in decimal form)T is the time the money is borrowed for, in yearsUsing the values given:
P = $3650R = 16% or 0.16 (as a decimal)T = 1 yearWe calculate the interest Kara will pay:
I = 3650 * 0.16 * 1
I = $584
Therefore, Kara will pay $584 in interest after one year.
How would I convert 35 cm/sec to m/min?
Answer:
21meter
Step-by-step explanation:
because 1 min equal 60min and 1meter equal 100cm
1. The numbers below follow a pattern.
0.006 0.06 06 6
Part A
What are the next two numbers in the
pattern
Part B
What is the relationship between the
terms in the pattern?
Answer for Part A:
The next two numbers would be 60 and then 600.
Answer for Part B:
The number is multiplied by 10 to get the next number.
How do you solve-
10=4x
Answer:
x = 2 1/2
Step-by-step explanation:
Answer:6x
Step-by-step explanation: divide x on both sides you’ll get 10x subtract 4 both sides you’ll get 6x
What is the value of 5 to the power of 4 over 5 to the power of 6?
1 over 25
1 over 5
5
25
5^4÷ 5^6=5^-2
1 over 25
Answer:
the answer is 1 over 25
Step-by-step explanation:
i hope this helps
what is 1.407 rounded to the nearest whole number explain your thinking on a number line
Answer:
1
Step-by-step explanation:
4 is less than 5, so you round to 1 and not 2
Choose the mixed number that has not been reduced to simplest form.
4 2/5
7 14/18
5 7/12
5 5/6
PLZ HELP!!!!!!!
Hey!
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Answer: 7 14/18 has not been reduced to simplest form.
--------------------------------------------------------------------
Solution: 7 14/18 can be simplified to 7 7/9
--------------------------------------------------------------------
Hope This Helped! Good Luck!
Please answer this correctly
Answer:
ok honestly that wus super confusing, but i think its a trick question so the answer is 0
Step-by-step explanation:
Bill and Colin are cousins. Right now Bill is 21 years older than Colin. In 13 years
Bill's age will be twice Colin's age. How old is Colin right now? How old is Bill?
The solution to this problem requires us to set up an algebraic equation representing the given condition. After solving that equation, we discover that currently Colin is 8 years old and Bill is 29 years old.
Explanation:This is a simple algebra problem dealing with ages and years. Let's define Colin's current age as 'x'. Consequently, Bill's age will be 'x + 21'. In 13 years, Colin will be 'x + 13' years old and Bill will be 'x + 21 + 13' years old.
According to the statement given, in 13 years: 'Bill's age will be twice Colin's age', this can be translated into the equation: 2*(x + 13) = x + 21 + 13. Solving this equation, we first multiply out the left side of the equation: 2x + 26 = x + 34. We can then subtract 'x' from both sides of the equation to get: x = 8.
This means that today, Colin is 8 years old. To find Bill's age, we add 21 to Colin's age, meaning Bill is 29 years old.
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15+9=?(5+3) what number is missing from the expression?
Answer:
3
15+9=24
24/8=3
If the points (4,2) (6,3) and (8,4) are on the graph of f, give three points on the graph of f^-1
let's recall that an inverse function has the same pair of coordinates as the original function, but backwards, or namely the inverse's range is the original's domain.
[tex]\bf \stackrel{f(x)}{\begin{array}{|cc|ll} \cline{1-2} 4&2\\ 6&3\\ 8&4\\ \cline{1-2} \end{array}}\qquad \qquad \stackrel{f^{-1}(x)}{\begin{array}{|cc|ll} \cline{1-2} 2&4\\ 3&6\\ 4&8\\ \cline{1-2} \end{array}}[/tex]
The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line
Answer:
○ C. y - 10 = 2(x - 3)
Step-by-step explanation:
According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful and recall that your rate of change [slope] is POSITIVE, according to what you see on the graph.
I am joyous to assist you anytime.
which model represents the factors of x^2 + 9x+8?
Answer:
Step-by-step explanation:
x² + 9x+8 = (x+1)(x+8)
Evaluate the numerical expression. − 1 2 − (− 3 4 )
Answer:
-12 + 34= 22 is the solution
2n +7 is greater than or equal to 27 or 3+3n is less than or equal to 30. What is n?
this is written as
[tex]2n + 7 \geqslant 27[/tex]
change the greater than or equal to sign to equal to in order to solve it
thus
[tex]2n + 7 = 27[/tex]
[tex]2n = 27 - 7[/tex]
[tex]2n = 20[/tex]
dividing through by 2
[tex] \frac{2n}{2} = \frac{20}{2} [/tex]
[tex]n = 10[/tex]
{[tex]{n:n \geqslant 10}[/tex]}
What is 79/100 as a decimal
Hey!
-------------------------------------
Solution:
Divide to get the decimal.
79 / 100 = 0.79
-------------------------------------
Answer:
0.79
-------------------------------------
Hope This Helped! Good Luck!
Answer: 0.79
Step-by-step explanation:
divide to get the decimal.
remeber, if n is two digits, n/100 = 0.n
Juanita is taking a cross-country bike tour. She plans to bike 3,118 miles in all. If Juanita bikes an average of 41 miles a day, how many days will it take her to finish the tour?
Answer:
76 days
Step-by-step explanation:
3,118 divided by 41 miles
Find the interest earned on a $30,000 deposit for 6 months at 12% interest.
compounded continuously.
Answer:
3,600
Step-by-step explanation:
First you have to know that 12% is the same as .12 Since you have 12%interest you would multiply 30,000 × .12 When you do you get 3,600. This is your interest. You could also do it another way. You could take 30,000 and divide it by the 6 months. You get 5,000. Now you would take this number and multiply it by .12(the 12%) and get 600. This is interest per month. Since you have 6 months you multiply 600×6. You end up with 3,600.
five increased by the product of seven and a number is eight
in number form pleaseee
Answer:
5+(8×7)
Step-by-step explanation:
increased means plus, product means multiple so 5 increased by the product of 8 and 7 so it would be 5 plus 7 time 8
Answer:
5 + 7x = 8
Step-by-step explanation:
" a number" refers to a variable. In this case 5 increased is 5 + and the product of 7 and a number is 7x or 7 times x. Then tale that whole equation and set it equal to 8.