Answer: a=4b/5
Step-by-step explanation:
To solve for a, we want to use algebraic properties to isolate a.
3a+2b=6b-2a [add both sides by 2a]
5a+2b=6b [subtract both sides by 2b]
5a=4b [divide both sides by 5]
a=4b/5
Now, we have found that a=4b/5.
Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the recipe how many gallon
Answer:
Amy and her sister will have 17.5 gallons of lemonade for the school dance.
Step-by-step explanation:
The sister's recipe makes 2 quarts of lemonade. As they want to make 35 times more, so total number of quarts made will be =
quarts
Now, 4 quarts has 1 gallon.
So, total number of gallons in 70 quarts will be =
tex]\frac{70}{4} =17.5[/tex] gallons.
Hence, the answer is 17.5 gallons.
The “Get Up” challenge set to Ciara’s song is a dance that takes about 15 seconds to perform. What percent of the full 4-minute-and-23-second song does the dance represent?
Answer:
5.70%
Step-by-step explanation:
It takes the time to perform on Ciara's song = 15 seconds
Total time given as 4 minutes 23 seconds ≈ (4×60) seconds + 23 seconds
= 240 seconds + 23 seconds
= 263 seconds
Percent of time taken to perform of the full time = [tex]\frac{\text{time taken to perform}}{\text{Total time}}\times 100[/tex]
= [tex]\frac{15}{263}\times 100[/tex]
= 5.70 %
Therefore, percent of the time taken for the performance on the full song will be 5.70%
what is 0.72 bar as a fraction
Answer:
0.72 is the same as 72100 (try putting both into a calculator!) as you can view 1.00 as 11 . Reducing the fraction gives you 72100 = 1825 .
is the inequality always sometimes or never true?
9x+2(2+x)<5+9x
Answer:
9x+7=5x-3
Step-by-step: are u looking for this?
the area of a square rug is 72 square feet. what is the approximate length of one side of the rug?
Mr Cole made this diagram of his bedroom. Which is the area of Mr. Cole's bedroom?
10 ft
5 ft
4 ft
8 ft
A 90 square feet
B 82 square feet
c 72 square feet
D 36 square feet
Answer:
B
Step-by-step explanation:
area =area of full shape - area of B
=10×9-4×2
=90-8
=82
Can (3,0) (0,-2) (6,2) and (-3,-4) be generated as a linear function yes or no?
if 28 men can complete a work in 16 days wiil 8 men take to complete that work is it a.14 b.48 c.56 d.128
Answer:
56
Step-by-step explanation:
Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.
Answer:
The car
Step-by-step explanation:
Train:1mi = 1.6 km
95km = 95/1.6 = 59.375 km
95km/h = 59.375mi//h
Car65mi/h
Comparative:
65 > 59.375
then:
the car is more faster
Answer:
The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65
Step-by-step explanation:
The formula c = 2.54n can be used to convert a measurement of c centimeters to an equivalent measure of n inches. Henry is 170 cm tall. What is his height, in inches? Round your answer to the nearest tenth of an inch. 66.7 in. 66.8 in. 66.9 in. 67.0 in.
Answer:
66.9
Step-by-step explanation:
Answer:
[tex]\boxed {\tt 66.9 \ inches}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]c=2.54n[/tex]
where [tex]c[/tex] is centimeters and [tex]n[/tex] is inches.
We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for [tex]c[/tex]
[tex]170=2.54n[/tex]
We want to find out how tall Henry is, in inches. We must isolate the variable for inches, [tex]n[/tex], on one side of the equation.
[tex]n[/tex] is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54
[tex]\frac{170}{2.54} =\frac{2.54n}{2.54}[/tex]
[tex]\frac{170}{2.54}=n[/tex]
[tex]66.9291339=n[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 9 in the tenth place.
[tex]66.9 \approx n[/tex]
[tex]n \approx 66.9 \ inches[/tex]
Henry is about 66.9 inches tall.
-4x+1=2x-17 What is the solution for x ?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4x + 1 = 2x - 17}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 1 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6x = - 17 - 1}}[/tex]
The negative integers are always added but posses the negative ( - ) sign
[tex] \dashrightarrow{ \sf{ - 6x = - 18}}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 18}{ - 6}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 3}}[/tex]
Hope I helped!
Best regards! :D
In the triangle below, 21 = 35 and 23 = 100°.
1
3
What is the measure of angle 2?
Answer: Angle 2: 45°
Step-by-step explanation:
All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135
please answer i need it fast!!!!!!!!
145 is the answer bruh i cant type
which integer is closest to √55 ?
Answer:
when you simplify √55
you get
7.41619848.....
the integer closest to 7.41619848... is 7
So the answer is 7
How do I solve this problem?
K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y
Answer:
[tex] \boxed{\sf y = 6 \ cm} [/tex]
[tex] \boxed{\sf x = 25 \degree} [/tex]
Step-by-step explanation:
It is given that JKLMN [tex] \sim [/tex] VWXYZ
So, from this we can say that:
JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ
i.e.
(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°
Solving for y:
⇒2y - 8 = 4
Adding 8 to both sides:
⇒2y - 8 + 8 = 4 + 8
-8 + 8 = 0:
⇒2y = 4 + 8
4 + 8 = 12:
⇒2y = 12
Dividing both sides by 2:
⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{2}{2} = 1: [/tex]
⇒y = [tex] \sf \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{12}{2} = 6: [/tex]
⇒y = 6 cm
Solving for x:
⇒4x° = 5(x - 5)°
Expanding right hand ride expression:
⇒4x° = 5x° - 25°
Adding 25° to both sides:
⇒4x° + 25° = 5x° - 25° + 25°
25° - 25° = 0°:
⇒4x° + 25° = 5x°
⇒5x° = 4x° + 25°
Substracting 4x° from both sides:
⇒5x° - 4x° = 4x° - 4x° + 25°
4x° - 4x° = 0°:
⇒5x° - 4x° = 25°
5x° - 4x° = x°:
⇒x° = 25°
9. The average of your 3 quiz grades is 24 points. Two of your quiz grades
are 30 points and 22 points. Write and solve and solve an equation to find
the third quiz grade. Please include both the equation and the answer.
Plz help!!!
Answer: x = 24 (x represents the 3rd quiz grade)
Step-by-step explanation:
I need help with this one please.
Answer:
m=3
Step-by-step explanation:
slope=m=y2-y1/x2-x1
(29,97),(18,64) for given points
m=64-97/18-29 ⇒ m=-33/-11
m=3
b): 97/29 ,64/18,-14/-8, 52/14,-71/-27
No, it does not matters which points you take to calculate the slope because at each point m=3for points (18,64) and (-8,-14)m=-14-64/-8-18
m=-78/-26
m=3for points:(-8,-14) and (14,52)m=52+14/14+8
m=66/22
m=3for points (14,52) and (-27,-71)m= 3write the equation of a line at a point (-8,-14)the equation of a line: y=mx+by=-14 , x=-8 , m=3, find b-14=3(-8)+b-14=-24+bb=-14+24b=10the equation : y=3x+104X-3 (x²+2x)
Find (f-g) (4)
Answer:
-11
Step-by-step explanation:
assuming 4x-3 = f(x) and the other equation = g(x)
(4x-3) - (x^2 +2x)
(4(4)-3) - (4^2 +2(4)
(16-3)-(16+8)
(13)-(24)
-11
Solve for x:
x - 6 = - 3x + 22
Plz I need this answer
Answer:
Your Answer is 7
Step-by-step explanation:
Very Simple!
x-6 = -3x + 22
Move the 6 over to the other side by adding 6 to both sides
x = -3x + 28
add 3x to both sides!
4x = 28
Divide by 4!
x = 28/4
x = 7!
Answer:
x=7
Step-by-step explanation
x-6 = -3x +22
+6 +6
x = -3x +28
+3x +3x
4x = 28
÷4. ÷4
x=7
please help meee. i honestly do not get what is being posted and need help
can someone pls help! is this correct?
Answer:
It's wrong
Step-by-step explanation:
Answer:yes it is correct
Step-by-step explanation:
3. Which is the most precise measurement?
120 cm
128 cm
128.77 cm
128.8 cm
I think it is 128.77 cm. Because it has the most numbers, and it is presice.
5) Answer the following questions :
The total number of boys and girls in a school is 320. the
number of boys in this school is 180 find :
a) The ratio between the number of boys and that of girls.
b) The ratio between the number of boys & the total number of
pupils.
c)The ratio between the number of girls & the total number of
pupils.
Answer:
a)9:7 b) 9:16 c) 7:16
Step-by-step explanation:
the no of girls (320-180)=140
a) ratio of no of boys and girls=180/140=9/7=9:7
b)ratio of boys and total pupil=180/320=9/16=9:16
c) ratio of the girls and pupils=140/320=7/16=7:16
Answer:
a) 9:7 (9 being the boys,7 being the girls)
b)9:16 (9 being boys, 16 being the total pupils)
c)7:16 (7 being girls, 16 being the total pupils)
Step-by-step explanation:
a) No. of girls= 320-180
=140
Boys: Girls
180 : 140 [ ÷ 20]
9 : 7
b) Boys: Pupils
180 : 320 [ ÷ 20]
9 : 16
c). Girls: Pupils
140 : 320 [ ÷ 20]
7 : 16
why is knowing math so important
Math is used to help calculate certain things such as taxes and such, but they are mostly important for jobs since certain jobs require knowledge of math. Jobs such as working in a branch of engineer, architecture, etc.
Is -3/7 rational or irrational
Answer:
Is rational. The value is 0.42857.
Step-by-step explanation:
¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2
Answer: 0.2
Step-by-step explanation: Necesitamos ajustar la estimación de 0.1561 al décimo más cercano.
El número después del decimal es el número en el décimo lugar. Considere el número a un lado del lugar de las décimas y utilice el número para decidir si se reunirán o seguirán siendo el equivalente. Observe que el número a un lado del décimo lugar es mayor o equivalente a 5 o menos de 5. En el caso de que ese número sea más digno de mención o equivalente a 5, en ese punto el número se reunirá aún en la remota posibilidad de que ese número es menor de 5, en ese momento el número no se reunirá. Permanecerá igual.
Consideremos el número dado 0.1561
El número en el lugar de las décimas es 1
El número después del punto de las décimas es 5 (que es más prominente o equivalente a 5)
De esta manera, el número se reunirá en 0,2
any one single and i need help 50 times 6 dived by 30
Answer:
ahah yea and its 10 by the way
Answer:
heyyyyy :) its 10
Step-by-step explanation:
please answer this I really need it!
Answer: 4/49 m^2
Step-by-step explanation:
Multiply
2/7 x 2/7 = 4/49
Answer: 4/49 m^2
Step-by-step explanation:
Area of a square = side X side
Side is 2/7
So, Area = (2/7)*(2/7) = 4/49 m^2
Yes I am kinda dumb lol
Answer:
I think it is A
Step-by-step explanation:
just trying to help
Answer: The answer is A
Step-by-step explanation: The other answers show an impossible answer. The rays cannot be crossed from A to T or C to T since they are on the other side of the ray.
( I hope this helps and I hope you understand it doesn’t make you any less smart to have difficulty with answering a question)
(I'm not 100% confident in the answer though)