Answer:
x = 20, y = 110
Step-by-step explanation:
For x:
[tex]5x + 45 + 3x - 25 = 180\\8x + 20 = 180\\8x = 160\\x = 20[/tex]
For y:
[tex]y + 2x - 5 + 3x - 25 = 180\\y + 2(20) - 5 + 3(20) - 25 = 180\\y + 40 - 5 + 60 - 25 = 180\\y + 35 + 35 = 180\\y + 70 = 180\\y = 110[/tex]
Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can
he fill with 1 gallon of blue paint?
Given :
Mr. Rivera pours 2 cups of blue paint into a jar for each art station.
1 cup = 8 ounces.
1 gallon = 128 ounces.
To Find :
How many jars can he fill with 1 gallon of blue paint.
Solution :
Since, a jar is filled with 2 cups.
1 jar = 2 × 8 = 16 ounces.
So, number of jars required to fill 1 gallon of blue paint is :
[tex]n=\dfrac{128}{16}\\\\n=8[/tex]
Therefore, 8 jars are required to fill 1 gallon of blue paint.
Hence, this is the required solution.
spend he was on the river for4 hours?
3. Kerry charges $25.50 per lawn to cut grass on Saturdays and $28.50 per lawn to cut grass on Sundays.
If she cuts 4 lawns on Saturday and 5 on Sunday, how mush money will she earn?
A. $102
B. $171
C.$241.50
D. $2 44.50
Kerry will earn $244.50 in total.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Kerry charges $25.50 per lawn to cut grass on Saturdays
and $28.50 per lawn to cut grass on Sundays.
If 4 lawns cuts in Saturday then the charges would be
=25. 50 x 4
=102
and, If 5 lawns cuts in Sunday then the charges would be
=28. 50 x 5
=142.5
Hence, the total she will earn 244.50.
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Linear function that are proportional always pass through what point
Answer: Directly proportional relationships they always pass through the origin (0,0). There are other linear relationships that dont pass through the origin.
2x^2 + 19x + 40 = -2
Answer:
X = - 7/2 or -6
Step-by-step explanation:
2x^2 + 19x + 40 = -2
2x^2 +19x + 40+2 = 0
2x^2 + 12x +7x+42= 0
2x(x+6) 7(x+6) =0
(2x+7) (x+6) = 0
2x+7 = 0
2x = -7
2x÷2=-7÷2
X= -7÷2 and
X+6=0
X=-6
Plant and animal cells have ALL the same organelles. True or faulse?
Answer:
Step-by-step explanation:
False. They may have some that are the same, but not all.
Answer:
the answer is false hope this helped :)
Solve for a :3a = 4.2
Answer:
3 * 1.4 = 4.2
What does (-4/5) - 7/5 equal to?
Answer:-3
Step-by-step explanation:
Answer:
-11/5
Step-by-step explanation:
-4/5 - 7/5 = (-4-7)/5 = -11/5
Hello! I'm having a really hard time solving this by Elimination and could really use some help
Answer:
x= 3, y=0, z= 1
Step-by-step explanation:
Let's label the 3 given equations first.
2x +3y +4z= 10 -----(1)
3x +2y -4z= 5 -----(2)
x +4y +2z= 5 -----(3)
(1) +(2):
This is to eliminate the z term.
2x +3y +4z +3x +2y -4z= 10 +5
5x +5y= 15
Divide by 5 on both sides:
x +y= 3 -----(4)
(3) ×2:
2x +8y +4z= 10 -----(5)
(2) +(5):
This is to eliminate z term.
3x +2y -4z + 2x +8y +4z= 5 +10
5x +10y= 15
Divide by 5 throughout.
x +2y= 3 -----(6)
(6) -(4):
x +2y -(x +y)= 3 -3
x +2y -x -y= 0
y= 0
subst. y=0 into (4):
x +0= 3
x= 3
subst. x=3, y=0 into (3):
3 +4(0) +2z= 5
3 +2z= 5
2z= 5 -3
2z= 2
z= 2÷2
z= 1
Plz help I’ve been doing this for 6 days
Hi there! :)
t ≥ -22t + 8 ≥ -4(t + 1)
Distribute the coefficient outside of the parenthesis:
2t + 8 ≥ -4(t) -4(1)
2t + 8 ≥ -4t - 4
Add 4t to both sides:
6t + 8 ≥ -4
Subtract 8 from both sides:
6t ≥ -12
Divide both sides by 6:
t ≥ -2.
Answer: t ≥ -2/3
Step-by-step explanation:
Distribute the -4 into (t + 1). 2t + 8 ≥ - 4t - 4Add 4t on both sides. 6t + 8 ≥ -4Subtract 8 on both sides. 6t ≥ -4Divide by 6 on both side. Then , simplify -4/6 by 2 on both the numerator and denominator. t ≥ -2/3What is the slope of the linear function represented in
the table?
-7
-1/7
1/7
7
Answer:
m=1/7
Step-by-step explanation:
Labeled the points and used Slope of a line formula.
x -0.63 = 1.16 I couldn't find the answer can someone please help me?
Answer:
x= 1.79
Step-by-step explanation:
x-0.63=1.16 add 0.63 to both sides
x= 1.79
Answer:
x =1.79
Step-by-step explanation:
x -0.63 = 1.16
Add .63 to each side
x -0.63+.63 = 1.16+.63
x =1.79
Express each number in scientific notation 4,672,000
Answer:
4×1000000 6×100000 7×10000 2×1000
Step-by-step explanation:
Answer:
[tex]4.672 * 10^{6}[/tex]
Step-by-step explanation:
move the orginial number 6 decimal points to the left to determine its scientific notation
4672000
467200.0
46720.00
4672.000
467.2000
46.72000
4.672000
Your phone plan cost $34.99 per month plus $.16 for each text message you sent receive. You have at most $40 to spend on your phone bill what is the maximum number of text messages that you can send receive next month
Answer:
250 messages
Step-by-step explanation:
Cost per message: $0.16
Maximum bill: $40
Maximum # of messages = $40/$0.16 = 250 messages
Help me please 20 is 1/10 of
Answer:
20 is 1/10 of 200
Step-by-step explanation:
20* 10 = 200
Answer:
the answer is 200/1
A function is given. g(x) = 4 x + 7 ; x = 0, x = h (a) Determine the net change between the given values of the variable. Incorrect: Your answer is incorrect. (b) Determine the average rate of change between the given values of the variable. Incorrect: Your answer is incorrect.
Answer:
4hStep-by-step explanation:
We are expected to solve for the change given the following values of x
0,h
so we substitute x= 0 and x=h in the given expression, get the result, and subtract the results from each other
for x=0
[tex]g(x) = 4 x + 7\\\\g(0)=4(0)+7\\\\g(0)=0+7\\\\g(0)=7[/tex]
for x=h
[tex]g(x) = 4 x + 7\\\\ g(h)=4(0)+7 \\\\g(h)=4h+7 \\\\g(h)=4h+7[/tex]
The change would be
[tex]g(h)-g(0)= (4h+7)-7\\\\g(h)-g(0)= 4h+7-7\\\\g(h)-g(0)= 4h[/tex]
The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its dimensions?
Hey there! I'm happy to help!
Let's call the length and width L and W respectively.
L=2W+8
2W+2L=124
We plug our value of L into the second equation and solve for W.
2W+2(2W+8)=124
We undo the parentheses with the distributive property.
2W+4W+16=124
Combine like terms.
6W+16=124
Subtract 16 from both sides.
6W=108
Divide both sides by 6.
W=18
We plug this W value into the first equation to solve for L.
L=2(18)+8
L=36+8
L=44
So, the length is 44 feet and the width is 18 feet.
Have a wonderful day! :D
1. Rocky has already logged forty miles on his daily running program. He runs two miles per
day. Robin has logged ten miles on her daily running program. She is running at a rate of 5
miles per day. After how many days will Rocky and robin logged the same number of met
miles?
Answer:
After 10 days rocky and robin will log the same number of met miles which will be 60 miles.
Step-by-step explanation:
This is because by using y=mx+b and graphing the two equations you can find their intersection which is (10,60).
January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months?
Answer:I believe it's 31,771
Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.
Scott earns $31,771 altogether during those three months.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
We have to determine that Scott earn altogether during those three months.
We have been given that in January, Scott earned $8,999.
In February, he earned $2,387 more than in January.
So we have to add the amount of January and 2,387, we get
⇒ 8,999 + 2,387 = 11,386
In March, Scott earned the same amount as in February.
So the amount of March = 11,386
Therefore, He earns altogether during those three months as
⇒ 8,999 + 11,386 + 11,386
Apply the Addition operation in the above expression,
⇒ 31,771
Hence, Scott earns $31,771 altogether during those three months.
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Which statement is true of two similar figures? A.Corresponding sides are always congruent. B.They are always different sizes, but the same shape. C)Corresponding angles are always congruent. D)The areas of the figures have the same ratio as the ratio of corresponding sides.
Answer:
option d is the rut answe
MARK BRAINLIEST
The left and right page numbers of an open book are two consecutive integers whose sum is 473. Find these page numbers.
The two page numbers are ______
(Use a comma to separate
answers as needed.)
PLEASE HELP MARK BRAINLIEST
Answer:
263,267
Step-by-step explanation:
473/2 is 263.5 and so just add .5 to one and subtract .5 from the other
4 Reynaldo paid $41.25 for 5 pizzas. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?
Answer: Each pizza costed $8.25
Step-by-step explanation:
You have to divide $41.25 / 5 to find the cost of each pizza
A girl studied for 5 2/3 hours daily. She devotes 2 4/2 hours of her time for science and mathematics. How much time does she devote for other subjects?
Given :
Number of hours studied daily , [tex]T=5\dfrac{2}{3}[/tex] .
Time given for science and mathematics is , [tex]t=2\dfrac{4}{2}[/tex] .
To Find :
How much time does she devote for other subjects .
Solution :
Let , time devote for other student is x .
So , Time left for other subject = Total time - Time taken by science and mathematics .
[tex]x=T-t\\\\x=5\dfrac{2}{3}-2\dfrac{4}{2}\\\\x=\dfrac{(5\times 3)+2}{3}- \dfrac{(2\times 2 )+4}{2}\\\\x=\dfrac{17}{3}-4\\\\x=\dfrac{17-(4\times 3)}{3}\\\\x=\dfrac{5}{3}=1\dfrac{2}{3}[/tex]
Therefore , time devote for other subject is [tex]1\dfrac{2}{3}[/tex] hours .
Hence , this is the required solution .
Shawn got a job as an Uber driver. He spends $180 on gas per month and charges $35 per ride. Write a function rule for Shawn's profit for one month: Question Blank type your answer... If Shawn gives 15 rides in August, he will have a profit of $ Question Blank type your answer... .
Answer:
$345
Step-by-step explanation:
35(15)-180
345
Simplify the complex fraction 1/6 / 1 3/8
Hey there!☺
[tex]Answer:\boxed{\frac{4}{33}}[/tex]
[tex]Explanation:[/tex]
[tex]\frac{1}{6}/1\frac{3}{8}[/tex]
Let's divide both fractions.
[tex]\frac{1}{6}1/\frac{3}{8}=\frac{4}{33}[/tex]
[tex]\frac{4}{33}[/tex] is our final answer.
Hope this helps!
Find the sum. (-7/2z+4)+(1/5z-15)
Answer:
-(33+110z)/10z
Step-by-step explanation:
(-7/2z +4)+(1/5z -15)
from BODMAS, solving the one in the bracket
First(-7/2z +4)+(1/5z -15)
Find the Lcm
[-7/2z +4] +[1/5z -15]
(7+8z)/2z +(1-75z)/5z
find the Lcm which is 10z
[5(-7+8z) + 2(1-75z)]/10z
[(-35+40z)+(2-150z)]10z
(-35+2+40z-150z)/10z
(-33-110z)/10z
-(33+110z)/10z
The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The sum of {(-7/2z) + 4} + (1/5z) - 15}.
= (-7/2z) + (1/5z) + 4 - 15.
= (-14 + 2)/10z - 11.
= - 12/10z - 11. (LCM of 2z and 5z is 10z)
= - 6/5z - 11.
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PLEASE HELP ME WITH THIS
Answer:
since they are corresponding angle
(6x)°= (5x =10)°
or (6x) - (5x) = 10°
x = 10°
The graph of a linear function is shown.
Which word describes the slope of the line?
1. Positive
2. Negative
3. Zero
4. Undefined
The slope of the linear function is negative
The graph is a linear function that has the following property:
As the x values increase, the y value reducesAs the x values decrease, the x value increasesThe above highlight implies that the slope of the line is negative
Hence, the true statement is (2) Negative
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Answer:
Negative
Step-by-step explanation:
Edge
the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP
Answer:
1.4
Step-by-step explanation:
you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms
Answer:
1.4
Step-by-step explanation:
Taylor needs to know if 0.775 is a rational number. Which of the following is the first step Taylor should try?
Multiply 0.775 by 100 to get 77.5
Subtract 0.775 from 77.5
Write 0.775 as
Divide 1,000 by 775
Answer:
im pretty positive its divide 1,000 by 775, correct me if im wrong.
Answer: It is A multiply .775 by 100 to get 77.5
Step-by-step explanation:
PLEASE HELP< BEST ANSWER WILL GET MARKED BRAINIEST The stadium is at (-2,3) and the high schools (1,8). What is the shortest driving distance (in blocks) between these two locations? Can you figure this out without looking a the grid
Answer:
The shortest driving distance between stadium and high schools is 5.831 units.