Answer:
[tex]x = 77 - 2y[/tex]
[tex]y = \frac{77 - x}{2}[/tex]
Step-by-step explanation:
Given
[tex]2x + 4y - 31 = 123[/tex]
Required
Solve for x and for y
[tex]2x + 4y - 31 = 123[/tex]
Add 31 to both sides
[tex]2x + 4y - 31+31 = 123+31[/tex]
[tex]2x + 4y = 154[/tex]
Solving for x
Subtract 4y from both sides
[tex]2x + 4y - 4y = 154 - 4y[/tex]
[tex]2x = 154 - 4y[/tex]
Divide by 2
[tex]x = 77 - 2y[/tex]
Solving for y
[tex]2x + 4y = 154[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 4y = 154 - 2x[/tex]
[tex]4y = 154 - 2x[/tex]
Divide by 4
[tex]y = \frac{154 - 2x}{4}[/tex]
Split
[tex]y = \frac{77 - x}{2}[/tex]
triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC is not a right triangle.
[tex]a^{2} +b^{2} =c^{2} \\8^{2} +17^{2} =15^{2} \\64+289=225\\353\neq 225[/tex]
What mistake did Sofia make?
A Sofia made a calculation error.
B Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.
C Sofia does not know if triangle ABC is a right triangle, so she cannot use the Pythagorean Theorem or its converse.
D Sofia’s conclusion is incorrect. When the sides of a triangle do not satisfy a2+b2=c2, you cannot conclude that the triangle is a right triangle.
Answer: Its b.
Step-by-step explanation: The hypothenuse is the biggest number and the leg is the two shortest numbers.
Ryan worked 40 hours last week. He had $74 deducted from his earnings for taxes. If he had $286 left after the deduction, whats the equation for this?
[Inequalities]
Please help and thanks.
Answer:
First blank is >=
Second blank is <=
Step-by-step explanation:
At least means the sign is greater than or equal to
No more than means the sign is less than or equal to
Help me please ASAP
Answer: 150?
Step-by-step explanation:
Find the measure of Angle C. thanks!!
Answer:
Use the formula for the trapeze
Step-by-step explanation:
Answer:
∠ C = 88°
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral sum to 180°, then
8x - 4 + 7x + 4 = 180 , that is
15x = 180 ( divide both sides by 15 )
x = 12
Then
∠ C = 7x + 4 = 7(12) + 4 = 84 + 4 = 88°
Find the length of a rectangular prism having a volume of 60 cubic meters, width of 2 1/2 meters, and height of 3 1/3
Answer:
7 1/5 m
Step-by-step explanation:
Find the length of a rectangular prism having a volume of 60 cubic meters, width of 2 1/2 meters, and height of 3 1/3
Volume of a rectangular prism = Length × Width × Height
Length = Volume/ Width × Height
Length = 60 m³/2 1/2 m × 3 1/3 m
Length = 60 m³/8 1/3 m²
Length = 60 m³÷ 8 1/3 m²
= 60 m³ ÷ 25/3 m²
=( 60 × 3/25 )m
= 180/25 m
Length = 7 1/5 m
A shirt cost $45.00. It is on sale 30% off. What is the amount of money you will save?
Answer:
Step-by-step explanation:
45 x 30% = $13.5 is saved
Answer: You will save $13.5
Step-by-step explanation: We all know that $45.00= 100% of the money do 45.00 x 30= 1350 and divide 100= $13.5
We wish to analyze the temperature during summer months for the northeaster part of the US proportion or mean
Answer:That would be mean
The mean is the average number. To get the average number you add up all of the numbers, then divide by how many numbers there are.
PLZZZ HELP MEEE YALL .!.!.!.!
Answer:
Step-by-step explanation:
Area of the rectangle = length * width
= 10 * 5
= 50 m²
Area of the smaller rectangle that is white color = 7 * 2
= 14 m²
Triangle:
base = b = 5 m
Height = h = 16 - 10 = 6 m
Area of triangle = [tex]\frac{1}{2}*b*h\\[/tex]
[tex]= \frac{1}{2}*5*6\\\\= 5*3\\\\= 15 m^{2}[/tex]
Area of shaded area = area of bigger rectangle - area of smaller rectangle + area of triangle
= 50 - 14 + 15
= 21 m²
The cost of a ticket to the fair on Sunday is $4 per adult and $2per child. The fair made $840 that day. The ticket office knows that they sold 300 tickets. How many adult tickets did they sell?
Answer:
120 adult tickets
We sell ice cream at a retail store, which we operate 50 weeks per year. Whenever we order from our supplier we incur a $250 ordering charge. Customer demand is 200 pounds per week and it costs us $35 per pound per year to hold the ice cream in proper storage. a) What is the EOQ?
Answer:
the EOQ is 378 units
Step-by-step explanation:
The computation of the economic order quantity(EOQ) is shown below:
EOQ is
[tex]= \sqrt{\frac{2\times A\times O}{C} } \\\\= \sqrt{\frac{2\times 200 \times 50\times \$250}{\$35} }[/tex]
= 378 units
Here A represent the annual demand
O represent the ordering cost
And, C represent the carrying cost
hence, the EOQ is 378 units
the sum of two numbers is 2 to the power of 6. the one number is equal to 6 to the power of 2. determine the value of the other number.
Answer:
28
Step-by-step explanation:
x+y=2^6
and we have x=6^2=36
36+y=64(since 2^6= 64)
then,y=64-36=28
so the value of the other number is 28
Solve the equation for x:
5x – 4 – 9x
4(x - 5)
Answer:
x = 2
Step-by-step explanation:
5x – 4 – 9x = 4(x - 5)
-4x -4 = 4x -20
-4x -4x = -20+4
-8x = -16
x = -16/-8
x = 2
help me please!!! thank u.
Answer:
y=-x-5(instead of 5 it could be any number)
Step-by-step explanation:
The measure of Juan's angle is modeled by 2x2+6x−5. The measure of Sally's angle is modeled by 8x+31. Which polynomial expression represents how much greater the measure of Juan's angle is than Sally's?
a.) 2x2−2x−362 x squared minus 2 x minus 36
b.) 2x2−2x−262 x squared minus 2 x minus 26
c.) 2x2+2x+362 x squared plus 2 x plus 36
d.) 2x2+14x+26
Answer: 2x^2-2x-36 is the correct answer
Step-by-step explanation: Add 8x+31 and 2x^2-2x-36 and you will get 2x^2+6x-5. (i took the test and got it correct)
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,340 ft Determine the flag's width and length if the length is 390 ft greater than the width.
Answer:
Step-by-step explanation:
L=W+390, W=L-390
P=2(W+L), P=2340
2(L-390+L)=2340
2L-390=1170
2L=1560
L=780ft
HELP NO WRONG ANSWER PLS
it's π 11²-π 3²
π(121-9)
3.14(112)
=351.68cm²
round off yourself (╥﹏╥)
Solve this inequality:
16x - 33x < -12x + 30
A. x < -6
B. x > 6
C. x > -6
Answer:
x > -6.
Step-by-step explanation:
16x - 33x < -12x + 30
Add 12x to both sides:
16x - 33x + 12x < 30
-17x + 12x < 30
-5x < 30
x > 30/-5
x > -6
(Note the inequality signs flips because we are dividing by negative 5).
Reflect (-1, -1) over the y-axis.
Answer:
(1,-1)
Step-by-step explanation:
Dave said that these triangles are similar. Is it false or true?
Answer:
false
Step-by-step explanation:
the sum of the angles is 180, for the first triangle B is 180-(60+79)= 41°. and for the second F = 180-(60+42) = 72°. therefore they're not equal / similar.
Help Me, Now! E. The Siblings need to save $1,150. At what week will they have enough between both accounts? Week 1, Week 2, Week 3, Or Week 4?
The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.
Answer:
it takes 6 hours 40 minutes
Answer: 6.75 hours
Step-by-step explanation:
540%80=6.75
Show your work:
Q1.) Cathy has a prepaid cell phone. Last month she deposited $55.00 into her cell phone
account and was able to talk for 700 minutes before running out of credit. Wh is the
charge per minute on Cathy's cell phone; Round to the nearest cent and assume no other
fees apply.
Answer:
12.72 Cents Per Minute
Step-by-step explanation:
Divide 700 by $55 to get the dollars per minute
Find two consecutive integers whose product is 90.
Pls help me find the area
Answer:
27
Step-by-step explanation:
6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27
what is 3⋅(3 to the 4)=3x
solve x
Hello, my name is Zalgo, and I would be honored to help you out on this Fantastic Friday. The answer to your question would be that X=81. (if you want/need the , it will be down below).
I hope this all helps you out and I hope you have a nice day.
"Stay Brainly and stay proud!" ~ Zalgo
In order to get the answer, first calculate the product for [tex]3*(3^4)=3x[/tex] which will get you [tex]3^5=3x[/tex].
Then you'll want to divide both sides of the equation by 3, taking you from [tex]3^5=3x[/tex] to [tex]3^4=x[/tex].
After that, you need to evaluate the power, so now you have went from [tex]3^4=x[/tex] to 81=x.
And the final step would be to switch the sides of the equation. So instead of ending with 81=x, you'll end with x=81.
Andrew says that 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x= 1. Is Andre correct in saying they're equivalent?
Hey love! <3
Answer:
The right answer is that Andrew is correct in saying they are equivalent.
Step-by-step explanation:
In Andre's statement x is equal to 1 unless further added into the statement, both sides equal the same amount after simplification.
Hope this is helpful! (⊙‿⊙✿) Sincerely, Kelsey from Brainly.
~ #LearnWithBrainly ~
In a random sample of 200 customers at a restaurant, 140 customers ordered french fries. If the restaurant typically has 1,000 customers in a day, about how many will probably order french fries?
Answer: 700 customers
Step-by-step explanation:
In a random sample of 200, 140 people ordered French fries.
Find out the percentage of people who ordered French fries:
= 140 / 200
= 70%
If the restaurant usually has 1,000 customers a day, based on the rate of people who ordered French fries out of 200 people - 70% - the number of people who will probably order French fries are:
= 70% * 1,000
= 700 customers
A highway sign shows a speed limit of 60 miles per hour. Which of the following car speed measurements represent the same level of accuracy compared to the speed limit sign? Check all that apply. A. 64 mph B. 56 mph O C. 48 mph O D. 68 mph
Answer:
B and C
Step-by-step explanation:
IT is found that B. 56 mph and C. 48 mph car speed measurements represent the same level of accuracy compared to the speed limit sign.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken
We can see that As the speed limit on the highway is 60 miles per hour and the speeds mentioned above are below the speed limit.
The legal top speed at which a vehicle may travel on a specific section of road is determined by speed limits for road traffic, since they are utilized in the most of countries.
On a traffic sign, it is known that the maximum allowed speed is typically displayed and expressed in kilometers per hour (km/h) or miles per hour (mph).
Learn more about speed limit here:
brainly.com/question/10492698
#SPJ2
16 + x = 22
Please help
Answer:
6
Step-by-step explanation:
All you have to do is subtract 16 from both sides!
16+x=22
-16 -16
x=6
I hope this helps, and have a great day! :)