Step-by-step explanation:
Because you're trying to prove the value of X, you work backwards. here's what you do
When working backwards, PEMDAS becomes SADMEP
First, add 14 to 43 (57).
Then, divide 57 by 3 to get 19.
x = 19!
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 14 to both sides of the equation:
3x - 14 (+14) = 43 (+14)
3x = 43 + 14
3x = 57
Next, divide 3 from both sides of the equation:
(3x)/3 = (57)/3
x = 57/3
x = 19
~
Proof: Plug in 19 for x in the equation for x:
3(19) - 14 = 43
First, multiply:
(3 * 19) - 14 = 43
(57) - 14 = 43
Next, subtract:
57 - 14 = 43
43 = 43 (True).
~
Can any kind soul help me please
Answer:
average speed = total distance travelled÷ total time taken
distance 120 km
time is 1 hr and 20 minutes
from 0700 t0 0820
1hr = 60 minutes
= 20 minutes
1/3 hr
total time is 1 1/3 hr
speed = 120/ 1 1/3
= 120 * 3/ 4
= 90 km/ hr
4-5 Isosceles and Equilateral Triangles
Which of the following statements about bisectors in isosceles triangles is true?
O A. The perpendicular bisector of any side of an isosceles triangle is also the angle bisector of the angle opposite that side.
O B. The perpendicular bisector of the leg of an isosceles triangle is also the angle bisector of the base angle opposite that leg.
OC. The bisector of the angle opposite the base of an isosceles triangle will also be the perpendicular bisector of the base.
O D. The bisector of either base angle in an isosceles triangle is also the perpendicular bisector of the side opposite the base angle.
Nita is making a fruit drink. She mixes apple juice and mango juice in the ratio 3 : 1. Apple juice costs 56p for a 1-litre carton. Mango juice costs £1.20 for a 1-litre carton. A pack of 80 plastic cups costs £1. Nita sells her fruit drink at a school concert in 250ml cups for 60p each. She gives all the profit she makes to the school fund. Nita makes 80 cups of the fruit drink and sells them all. How much money does she give to the school fund?
Answer:
£32.60
Step-by-step explanation:
Nita is making a fruit drink. She mixes apple juice and mango juice in the ratio 3 : 1. Apple juice costs 56p for a 1-litre carton. Mango juice costs £1.20 for a 1-litre carton.
A pack of 80 plastic cups costs £1. Nita sells her fruit drink at a school concert in 250ml cups for 60p each.
We are told that Nita sells all her 80 cups
100 pence = £1
60p =
= 60/100
= £0.6
Hence, the selling price =
£0.6× 80
= £ 48
Profit = Selling Price - Cost Price
We have to find the Cost Price
A pack of 80 plastic cups costs £1.
Nita is making a fruit drink. She mixes apple juice and mango juice in the ratio 3 : 1.
3 + 1 = 4
1 liter = 1000ml
For Apple Juice
3/4 × 1000ml = 750ml
For Mango Juice
= 1/4 × 1000ml = 250ml
This means she uses a mixture of 750 ml of Apple juice and 250 ml of Mango juice
Apple juice costs 56p for a 1-litre carton.
£0.56 = 1 liter = 1000ml
1000ml = £0.56
750 ml =
= 750 × 0.56/1000
= £0.42
Mango juice costs £1.20 for a 1-litre carton.
1000ml = £1.20
250 ml = x
x = 250 × 1.20/1000
= £0.3
Hence, the total cost for 1000ml of mixed juice = £0.3 + £0.42
= £ 0.72
We are told the content of each cup = 250 ml
For 80 cups she would need
80 × 250 ml
= 20000ml of the mixed juice
If 1000 ml = £0.72
20000ml = x
x = 20000 × £ 0.72/1000
x = £14.4
1 pack of 80 cups cost £1
Hence: £14.4 + £1
Cost Price = £15.4
Profit = Selling Price - Cost Price
Profit = £48 - $15.4
Profit = £32.60
Therefore, the money she gives to the school fund is £32.60
PLS PLS HELP ME DUE TODAY!!!!!
Answer: -22
Step-by-step explanation: I know the answer trust me
Is x = 9 a solution to the given inequality.
X> 9
TRUE
OR
FALSE

Answer:
False
Step-by-step explanation:
Can someone help me with angles please!!!!!! There are two problemsssss
Answer:
Question 1: 78 = angle 2.
Question 2: 7 = angle 2.
Step-by-step explanation:
Complementary deals with the angles adding up to 90 degrees.
So, do 90 - 12, which equals 78.
78 = angle 2.
90 - 83 = 7.
7 = angle 2.
Sheila has 13
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
pounds. How many containers does she need? Complete the explanation.
Answer:
she needs 13 containers because their are 13 pounds and each hold 1 pound
The millers drove 150 miles in 3 hours. At a rate, how long does it take to drive 400 miles?
Answer:
8 hours
Step-by-step explanation:
150=3x
x=50
400/50=8
Answer:
8 hours
Step-by-step explanation:
We can use ratios to solve
150miles 400 miles
---------------- = --------------
3 hours x hours
Using cross products
150x = 400*3
150x = 1200
150x/150 = 1200/150
x =8
8 hours
There are 36 boys on a school bus. If 60% of the students on the bus are girls, how many total
students are there? Use a proportion to solve.
Answer:
54
Step-by-step explanation:
First, we can discover that 40% of the class are boys
100-60=40
Second, we need to work out what ten per cent of the class is, which we get by dividing 36 by 4:
36÷4=9
9 is equal to ten per cent.
Then, we multiply this by 6 because 10×6=60, which is the percentage of girls in the class.
9×6=54
Therefore, we have 54 girls on the bus
How many months will it take Harlan to save enough money to put a down payment on a motorcycle if the bike will cost $3,000 and he needs a 20 percent down payment and he can save about $75 a month?
Answer:
8 months
Step-by-step explanation:
I needs help :( pwz help ill mwark brainliest.. 3. Which of the following is not a common characteristic of potentially hazardous food?
Answer:
where are the answers? this sounds like a mutiple choice
Step-by-step explanation:
(hope this helps)
foods that can be hazardous don't always have a low water activity. low water activity can and most likely will limit the ability of microbes to grow on the food
Which is a true statement about the diagram?
Om25+ m26 = m21
Om23+ m24+ m25 = 180°
Om 21+ m22 = 180°
Om 22+ m23 = m 25
void(0)
INTL 1
10:5
Answer:
C is true
Step-by-step explanation:
The true statement about the diagram is,
⇒ m ∠1 + m ∠2 = 180°
Since, An angle is a combination of two rays with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Here, We have to given that;
The diagram of the angles are shown.
Hence, We get by diagram;
Two angles 1 and 2 are linear pair angles.
Hence, We get by definition of straight line is,
⇒ m ∠1 + m ∠2 = 180°
Thus, The true statement about the diagram is,
⇒ m ∠1 + m ∠2 = 180°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ7
During the first hour that an amusement park was open 182 people rode the roller coaster. During the second hour 307 people rode the roller coaster. After the third hour, a total of 921 people had ridden the roller coaster. Estimate how many people rode the roller coaster in the third hour.
Answer:
A. 400
Step-by-step explanation:
answer^
432 people rode the roller coaster in the third hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
182 people rode the roller coaster.
307 people rode the roller coaster.
A total of 921 people had ridden the roller coaster.
So, Number of people rode the roller coaster
= 921 - 182 - 307
= 432
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
it either d or b
Step-by-step explanation:
2007 has 118000 population
2013 has 138000 population
I have an answer for 1.. which is
What is the percent change from 2007 to 2013.
But I have problems with
Use this percent change to predict the population in 2019. Can anyone help me
Answer:
158,000
Step-by-step explanation:
Since your first answer 16.95 = 20,000 leading to 6 years, 2013 + 6 = 2019. So all you have to do is add the 20,000 :L Hope that helped!
Factor 80d+10. plz help
Answer:
10(8d+1)
Step-by-step explanation:
Hope this helps!!
what is the value of x in the equation 2(x-3)=4(x-4)?
Answer:
The value of x is 5
Step-by-step explanation:
Let us simplify each side at first
∵ 2(x - 3) = 4(x - 4)
∴ 2(x) - 2(3) = 4(x) - 4(4)
∴ 2x - 6 = 4x - 16
→ Subtract 4x from both sides
∴ 2x - 4x - 6 = 4x - 4x - 16
∴ -2x - 6 = -16
→ Add 6 to both sides
∴ -2x - 6 + 6 = -16 + 6
∴ -2x = -10
→ Divide both sides by -2
∴ [tex]\frac{-2x}{-2}=\frac{-10}{-2}[/tex]
∴ x = 5
∴ The value of x is 5
PLEASE HELP ME!!!! what is −11b+7=40 when b= what
Answer:
b=-3
Step-by-step explanation:
-11b+7=40
-11b= 40-7
-11b=33
-11b/-11b= 33/-11
b=-3
The sum of two numbers is 75. One number is 5 more than 9 times the other number. What are the two numbers?
One number is 5 more than 9 times the other. If we represent the first number with x, we get the two numbers to be
x and
9+5x
The sum of the two numbers is 75. Plugging the two numbers into that equation, you get
x + 9+5x = 75
You can simplify to get
6x+9 = 75
By subtrating 9 from both sides, you get
6x = 66
Now you are practically done! You just need to divide both sides by 6 to get
x = 11
The two numbers were
x and
9+5x
By plugging x = 11 into both of the equations, you get
11 and
64 (64 is 55 + 9)
. Krista went shopping for jeans. She found a great pair for $59. She found a second pair that was pretty nice and cost only $28. About how much less would Krista spend if she bought the second pair of jeans? $20 less $40 less $30 less $80 less
Answer: Krista would spend $31 less if she bought the second pair.
Step-by-step explanation:
Given: Price of first pair of jeans = $59
Price of second pair of jeans = $28
If Krista bought second pair of jeans ( which costs $28) instead of first pair of jeans ( which costs $59), the she should pay $59-$28 = $31 less.
Hence, Krista would spend $31 less if she bought the second pair.
A company charges $150 deposit plus $25 per hour to rent a moving trailer. If the total cost is y and the number of hours the moving trailer is rented is x, then the equation to determine the total cost is y = 25x + 150. What is the independent variable and the dependent variable?
Answer:
The number of hours is the independent variables and the total cost is the dependent variable.
Step-by-step explanation:
From statement we get a linear function for modelling costs as a function of the number of hours rented. The standard form of the linear function is:
[tex]y = m\cdot x + b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, measured in hours.
[tex]y[/tex] - Dependent variable, measured in US dollars.
[tex]m[/tex] - Slope, measured in US dollars per hour.
[tex]b[/tex] - y-Intercept, measured in US dollars.
Hence, the number of hours is the independent variables and the total cost is the dependent variable.
Sarah made a scale drawing of a dinosaur.
she made the height of a dinosaur 2 1/2 inches.
the actual height of the dinosaur is 9 feet.
what scale did sarah use for her drawing?
1 inch=3.6 ft
1 inch=4.5 ft
1 inch=18 ft
1 inch=22.5 ft
Answer: The scale used by Sarah is 1 to 43.2 inches ( drawing to actual)
Step-by-step explanation:
Here, we want to know the scale used for the drawing of the Dinosaur by sarah.
The actual height of the Dinosaur is 9 feet, but in her drawing she represented the height by 2.5 inches( 2 1/2 is same as 2.5 inches)
Mathematically, we know that 1 foot is 12 inches;
So the actual height of the Dinosaur is 9 * 12 = 108 inches
So practically, what she has done is to represent a height of 108 inches by 2.5 inches
So the scale factor used will be;
108/2.5 = 43.2
The scale used is 1 to 43.2 or simply 1:43.2 to represent the drawing to the actual
Step-by-step explanation:
Plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3:00 PM. When is the next time the stations will play the song at the same time?
Answer:
4.12 PM
Step-by-step explanation:
Radio station 1 : Plays the song every 18 minutes
Radio station 2 : plays the song every 24 minutes
Both stations play the song at 3:00 PM.
When is the next time the stations will play the song at the same time?
Find the lowest common multiple of 18 and 24
18 : 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270
24 : 48, 72, 96, 120, 144, 168, 192, 216
The lowest common multiple of 18 minutes and 24 minutes is 72 minutes
72 minutes = 1 hour 12 minutes
Add 1 hour 12 minutes to 3:00 PM to know when both radio station will play the song at the same time
= 3.00 PM + 1 hour 12 minutes
= 4.12 PM
Round 72.678 to the nearest whole number
Answer:
73
Step-by-step explanation:
Answer:
73
Step-by-step explanation:
-13k=-3k-120? please solve and show steps i dont get this bc i got 45.333333333
Answer:
k=12
Step-by-step explanation:
1. What type of number is a PRIME
number?
2. List the first 5 prime numbers
from least to greatest?
Help me please!!!! Fast!!! 35 points!!!
Side note: The value 1 is not a prime number.
Answer:
1) 2, 3, 5, 7, and 11.
2) 2, 3, 5, 7, 11,
Step-by-step explanation:
If this help may i have a brainliest :)
6th grade math yalll
A waitress make a 20% tip for serving the guest of a large dinner party how much of a tip which she make on a dinner total of $700
Answer:
140 is the amount of money for the tip
Step-by-step explanation:
Answer:
$140
Step-by-step explanation:
20=0.2
700×0.2=140
I mean like that is a big tip for a person.
plzz mark it brainliest, need it to level up
Change 45% to a decimal and to a fraction reduce to the lowest terms.
Answer:
0.4 and 2/5
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
45/100= 0.45
lowest term:
9/20= 0.45
Change the number below into scientific notation.
0.00000000455
Answer:
4.55x10-9
Step-by-step explanation:
please help me find X
Answer:
ok lmk
Step-by-step explanation:
