Answer:
[tex] 3x + 12 = 20 [/tex]
[tex] x = 2\frac{2}{3} [/tex]
Step-by-step explanation:
Let x represent the unknown number.
3 times the unknown number is 3*x. = 3x
The sum of 3x and 12 is said to be 20.
This can be represented by the following equation:
[tex] 3x + 12 = 20 [/tex] (sum means addition)
The equation of the statement given in the equation can be expressed as [tex] 3x + 12 = 20 [/tex].
We can equally find the value of the unknown number using the equation, thus:
[tex] 3x + 12 = 20 [/tex]
Subtract 12 from each side of the equation
[tex] 3x + 12 - 12 = 20 - 12 [/tex]
[tex] 3x = 8 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{8}{3} [/tex]
[tex] x = 2\frac{2}{3} [/tex]
A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Answers with fractions must be entered at a decimal. For example 1 1/2 would be 1.5 and 1 1/4 would be 1.25.
Answer: 12.5cm
Step-by-step explanation:
From the question, we are informed that a scale drawing of a lake has a scale of 1 cm to 80 m. This can be represented as a fraction of 1/80.
Since the actual width of the lake is 1,000 m, the width of the lake on the scale drawing will be:
= 1/80 × 1000
= 12.5cm
The width of the lake on the scale drawing is 12.5cm.
What is the slope of the line represented by the equation 2x+3y= –12 ?
Answer:
-2/3
Step-by-step explanation:
2x+3y= –12
3y=-2x-12
y=-2/3x-4
m=-2/3
Answer:
-2/3
Step-by-step explanation:
Subtract 3y from both sides and add 12 to both sides: 2x+12=-3yDivide by -3: -2/3x-4=ySlope is -2/3Hope this helps!Simplify the expression.
(4a3 - 80 - 4a2) + (7a? - 7 - 6a)
Answer: 4a3 −87−4a 2 +a
Step-by-step explanation:
A School District transported 310 students and teachers to a zoo in buses and vans. Each bus transported a total of 20 students and teachers Each van transported a total of 10 students and teachers. There were 5 more buses than vans. What is the total number of students & teachers who rode the buses to the zoo? What is the total number of students & teachers who rode the vans to the zoo?
Answer:
240 Students and teachers rode buses
70 students and teachers rode vans
Step-by-step explanation:
Let the total number of buses be x
Let the total number of vans be y
If there were 5 more buses than vans, then x = y+5 ...... 1
If each bus transported a total of 20 students and teachers and each van transported a total of 10 students and teachers then:
20x + 10y = 310 ..... 2 (where 310 represents the total number of students and teachers in the school district)
Substitute equation 1 into 2:
20(y+5)+10y = 310
20y+100+10y = 310
30y = 310-100
30y = 210
y = 210/30
y = 7
Substitute y = 7 into equation 1 to get x:
From 1: x = y+5
x = 7+5
x = 12
The total number of buses are 12 while the total vans are 7
If each bus transported a total of 20 students and teachers, the total number of teachers and students that rode the buses to the zoo will be 20*12 = 240 teachers and students
If each van transported a total of 10 students and teachers, the total number of teachers and students that rode the vans to the zoo will be 10*7 = 70 teachers and students
describe a number x increased by 10
Answer:
x+10 ?
Step-by-step explanation:
the variable is being increased by 10 therefore add 10 to the variable
Stumped with this row of questions please help I’ll mark as brainlyest
Answer:
4. y=-5x+2
Step-by-step explanation:
Subtract the 5x from both sides
A ball is rolled down the hill at 3 m/s. The hill is 36 meters long. How
many seconds does it take the ball to reach the bottom of the hill? *
Answer:
12 seconds
Step-by-step explanation:
To do this you would take the rate of the ball, (the 3 m/s) and divide it from how big the hill is, (36 m)
36/3=12 seconds
So the ball would reach the bottom of the hill in 12 seconds
Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use.
Answer: 30 inches
Step-by-step explanation:
Here is the complete question:
Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use. What was the total length of the boards that he needed?
From the question, we are informed that Caleb needed 2 boards that were each 6 inches long and one board that was 18 inches long.
The total length of the boards that he needed goes thus:
For the first part, we are told that Caleb needed 2 boards that were each 6 inches long. This means that he needs a total of (2 × 6 inches) = 12 inches.
We are also told that he needed one board that was 18 inches long. This mean the total length of the birds needed will be the addition of the length of all the three boards. This will be:
= 12 inches + 18 inches
= 30 inches
Can you please help me with this?
Answer:
–2/7
Step-by-step explanation:
The slope formula is m = y2–y1/x2–x1
Where m is slope, (x1, y1) is the coordinates of any point, (x2, y2) is another point.
So take any number on the y column, I used 2 and 4 and subtract them by each other 2-4= -2 and do their x equivalent 7-0 = 7 put them in slope format and it's -2/7
Kayla is building a custom frame using reclaimed wood. She needs the frame to be 14 1/2 inches wide by 9 1/4 inches long. She has two pieces of wood which are 18 inches long and two pieces which are 12 inches long. How much extra wood will she have. She will have two pieces blank inches long and two pieces blank inches long
Answer:
12 1/2 inches extra wood.
Step-by-step explanation:
From the question, the measurements given for the frame are ;
Length, l = 9 1/4 in -----write as improper fraction : 37/4 in
Width, w= 14 1/2 in -------29/2 in
This should tell you that custom frame will be rectangular in shape.
Find the total perimeter of the frame which will be total length needed in inches for the frame.
P= 2{l+w}
[tex]P=2(\frac{37}{4} +\frac{29}{2} )\\\\\\P=2( \frac{95}{4} )=\frac{95}{2}[/tex]
P= 95/2 in ------total length required for the frame
Available pieces of wood are;
Two pieces of 18 in long = 2*18 = 36 in
Two pieces of 12 in long = 2*12 = 24 in
Total available length from the pieces of wood = 36 + 24 = 60 in
Extra wood available :
60/ 1 - 95/2 = 25/2 in
In mixed fraction : 25/2 = 12 1/2 inches extra wood.
After 10 days Mr. Monasterio had eaten 43 burritos. After 15 days, he had eaten 78 burritos. What is the rate of change? Label your answer with units.
Answer:
7 burritos/day
Step-by-step explanation:
Given data
Initial day =10
Final day =15
Initial burritos consumed=43
Final burritos consumed =78
Let the constant k = rate of change
change in days = 15 - 10 = 5
change in number of burritos = 78-43=35
k = 78-43/15-10
k = 35/5
k = 7
Since k = change in number of burritos/change in days
7 burritos/day
Whats the slope of the line on the graph (plz answer soon i have way more hw to deal with and i cant be stuck on this all day)
Answer:
-4/12
Step-by-step explanation:
The slope is negative, i did rise over run.
The average U.S. resident uses 100 gallons of
water per day. The population of the United
States is about 3.23 X 108. About how
many gallons of water do U.S. residents use
each day? Express your answer in scientific
notation.
Answer:3.2300*10^10
Step-by-step explanation:
PLEASE HELP!!!!! I NEED TO KNOW THIS!!!!!
Answer:
C
Step-by-step explanation:
Every line shows its increase over 1 unit so the longest line is C
Solve.
50 = -2.5x
a. x= 115
b. x= 115
c. x= 20
d. x= -20
Answer:
x=-20
Step-by-step explanation:
50÷-2.5=-20
Answer:
d. x = -20
Step-by-step explanation:
Given 50 = -2.5x, we are told to solve for x, which only involves two steps:
50 = -2.5x
÷-2.5 ÷-2.5
(Division property of equality)
________
-20 = x
x = -20
(symmetric property of equality)
use an equation to find the value of k so that the line that passes through the given points had the given slope, m.
PLEASE HELP ME I DONT WANT TO FAIL ALGEBRA AND NO ONE HAS ANSWERED THE LAST TIMES I NEEDED HELP!!!!!!!!!
Answer:
k = 11
Step-by-step explanation:
what is the distributive property of -8(2b+3)
Answer:
-16b -24
Step-by-step explanation:
[tex]-8(2b+3)\\\\-8\times 2b + (-8\times 3)\\\\-16b +(-24)\\\\-16b -24[/tex]
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!
Answer:
It is B or C I belive HHEHE that rhymed
Step-by-step explanation: Hope dis helped :3
Answer:a
Step-by-step explanation:
Please show all of the work you did.
9514 1404 393
Explanation:
RS ≅ RU . . . given
RT ≅ RT . . . reflexive property
TS ≅ TU . . . definition of midpoint
ΔRTS ≅ ΔRTU . . . SSS postulate
if someone has a 76.88 and a projest is worth 20 percent then what is there final grade
Answer:
Step-by-step explanation:
if you got 100 percent on the project then you would have a 89.55
Answer:
81.50
Step-by-step explanation:
The formula for the area of a trapezoid is A=\frac{1}{2}h(b_1+b_2),A= 2 1 h(b 1 +b 2 ), where hh is the height and b_1b 1 and b_2b 2 are the two bases. Rewrite the formula to solve for hh in terms of A,A, b_1b 1 and b_2.B 2 .
Question
The formula for the area of a trapezoid is A= 1/2h(b1 + b2),
where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for h in terms of A, b1 and b2
Answer:
h = 2A/b1 + b2
Step-by-step explanation:
Area of a Trapezoid
= 1/2h(b1 + b2)
Rewriting the formula to solve for h, this means making h the subject of the formula
A = 1/2h(b1 + b2)
Cross Multiply
2A = h(b1 + b2)
Divide both sides by b1 + b2
h(b1 + b2)/b1 + b2 = 2A/b1 + b2
Therefore,
h = 2A/b1 + b2
What is the difference of twenty squared and the product of fifteen and twelve?
200
180
220
160
Answer:
220
Step-by-step explanation:
20 squared is 400
15 times 12 is 180
400-180 is 220
Answer:
ans
multiply all number please like
ans is 220
Choose the fraction that is equal to a repeating decimal.
2/3
1/10
1/4
Answer:
2/3
Step-by-step explanation:
2/3 is a repeating decimal of 0.666667
Lisa has only nickels and dimes in her money box
Angles A and B are complementary. Angle A is 87°. Find the
measure of angle B.
Answer:
m∠B = 3°
Step-by-step explanation:
Complementary angles when combined will equal 90° in total.
∠A + ∠B = 90
m∠A = 87° {Given}
Plug in 87 for ∠A in the given equation, and solve for ∠B
87 + ∠B = 90
Isolate the variable. Subtract 87 from both sides of the equation:
87 (-87) + ∠B = 90 (-87)
∠B = 90 - 87
∠B = 3°
m∠B = 3° is your answer.
~
Shawn's family car holds 16 gallons of fuel. Each day the car uses 0.8 gallons to get to school and back. A warning light comes on when there is less than 1.5 gallons left in the fuel tank. How many days can Shawn drive the car before the warning lights come on?
Given :
Shawn's family car holds 16 gallons of fuel.
Each day the car uses 0.8 gallons to get to school and back.
A warning light comes on when there is less than 1.5 gallons left in the fuel tank.
To Find :
How many days can Shawn drive the car before the warning lights come on.
Solution :
Let, after x days warning come.
So,
[tex]16 - 0.8x < 1.5\\\\16-1.5<0.8x\\\\0.8x > 14.5\\\\x > \dfrac{14.5}{0.8}\\\\x > 18.125[/tex]
Therefore, at 19th day the warning light will start glowing.
Hence, this is the required solution.
Find the value of the expression:
a
0.25^15·4^15
Answer:
It is 1
Step-by-step explanation:
I typed it into my calculator
NEED HELP ASAP PLEASE!!
Answer:
a would be 0 and b would be 33
Step-by-step explanation:
that's what I think the answer is-
what is the sum of 43 plus 4
Answer:
47
Step-by-step explanation:
If you add 4 to 43 you get 47 man that was so hard
Which function is negative for the interval (-1, 1)?
Ty
1y
3
2
2
-3-2-1
2 3
-3-2
-3-2-14
-3-2-1
23
-2
ON
HAL
O
O
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco
