Answer:
The amount of butter used by baker this month is 294 kilograms.
Step-by-step explanation:
The amount of butter used last month by the baker = 210 kilograms
Now, according to the question:
The amount of butter used this month
= Previous months's amount + 40% of previous month's usage
Calculating 40% of 210 kg:
[tex]\frac{40}{100} \times 210 = 84[/tex]
⇒40% of 210 kilograms = 84 kilograms
⇒ The amount of butter used this month
= 210 kg + 84 kg = 294 kg
Hence,the amount of butter used by baker this month is 294 kilograms.
The baker used 40% more butter this month than last month. To find this month's usage, calculate 40% of last month's usage (84 kilograms) and add it to last month's usage. The baker used 294 kilograms of butter this month.
Explanation:To answer this question, we can first calculate how much 40% of the butter used last month is. 40% of 210 kilograms is 84 kilograms. This is the amount of butter the baker used additionally this month than the previous month. If we add this to the amount of butter that was used last month (210 kilograms), we get the total amount of butter used this month. 210 kilograms + 84 kilograms = 294 kilograms. So the baker used 294 kilograms of butter this month.
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Which expressions are equivalent to 4^-3 / 4^-1
Choose two answers
A. 4^1 / 4^3
B. 1/4^2
c. 4^3 x 4^1
d. (4^-1)^-3
Answer:
The answer is A and BStep-by-step explanation:
Because 4 to the power of -3 divided by 4 to the power of -1 switched (Like when there is a negative exponent you move the number or variable to the other side of the fraction) and scince both have a negative number you switch both. and 1-3 is -2 so you switch it to the bottem and put a 1 at the top.
^^Hope this helps!
The expressions equivalent to 4^-3 / 4^-1 are 1/4^2 and (4^-1)^-3.
Explanation:In the subject of mathematics, the given expression is 4^-3 / 4^-1. To simplify this expression, you need to understand two rules of exponents:
The rule a^-n = 1/a^n, which says that a negative exponent indicates the reciprocal of the positive exponent, andWhen you divide numbers with the same base, you should subtract the exponents.Applying these two rules, 4^-3 / 4^-1 = 4^-3 * 4^1 = 4^(1 - 3) = 1/4^2.
Another way to simplify the expression is to use the rules of exponents to rewrite each part independently. 4^-3 = 1/4^3 and 4^-1 = 1/4. Therefore, 4^-3 / 4^-1 = (1/4^3) / (1/4) = 4, which is equivalent to (4^-1)^-3.
Therefore, the equivalent expressions are (B) 1/4^2 and (D) (4^-1)^-3.
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i need help please i’m confused and i need the answers
Answer:
first C then B
Step-by-step explanation:
The distance Raphael needs to travel goes down by time. Therefore the y-value (the amount of distance) will go down as the x-value (the amount of time) will go up. So C.
The speed of the rollercoaster is increasing as time goes by. Therefor the y-value (the speed) will go up and the x-value (the amount of time) will also go up. So B.
Time is almost always moving forward so you can almost always assume x will go up.
Which expression is equivalent to 12/15?
A. 25÷12
B. 12÷25
C. 12÷1/25
D. 25÷1/12
Answer:
None of the answers are correct, because 12/15=4/5, it's equivalent to 12 divided by 15.
Step-by-step explanation:
If f(x) = 6x – 4, what is f(x) when x = 8?
O2
116
write the expression for twice a number y increased by 4
2y + 4 is the expression for twice a number y increased by 4
Solution:
Given statement is:
Twice a number y increased by 4
Let us convert the given statement into algebraic expression
Let the number be "y"
In the given statement,
Twice a number means "y" is multiplied by 2
"Twice a number" is translated as 2y
Also,
"Increased by" means added, Which means 2y is added to 4
Therefore,
Twice a number y increased by 4 is translated as 2y + 4
Thus the final equation becomes: 2y + 4
a barrel of water contains 60 gallons of water if 21 gallons leaked out what percent of water was left in the barrel
Answer:
65% remains in the barrel
:)
Answer:
65%
Step-by-step explanation:
Juan and Raj cut up a banana to put on cereal. Juan puts 17 of the banana on his bowl of cereal, and Raj puts 25 of the banana on his bowl of cereal.
What fraction of the banana did Juan and Raj put on their cereal altogether?
Juan and raj cut up a banana to put on cereal. juan puts 1/7 of the banana on his bowl of cereal, and raj puts 2/5 of the banana on his bowl of cereal.
what fraction of the banana did juan and raj put on their cereal altogether?
a. 2/35 banana
b. 3/12 banana
c. 3/7 banana
d. 19/35 banana
Answer:Juan and Raj altogether put 19/35 banana
Solution:Given that, Juan and Raj cut up a banana to put on cereal
[tex]fraction\ of\ banana\ put\ by\ Juan = \frac{1}{7}\\\\fraction\ of\ banana\ put\ by\ Raj = \frac{2}{5}[/tex]
We have to find the fraction of banana put by Juan and Raj altogether
This means, we have to add both the fractions
[tex]fraction\ of\ banana\ put\ altogether = fraction\ of\ banana\ put\ by\ Juan + fraction\ of\ banana\ put\ by\ Raj[/tex]
[tex]fraction\ of\ banana\ put\ altogether = \frac{1}{7} + \frac{2}{5}\\\\\text{Cross multiply to simplify }\\\\fraction\ of\ banana\ put\ altogether = \frac{1 \times 5 + 2 \times 7}{7 \times 5}\\\\fraction\ of\ banana\ put\ altogether = \frac{5+14}{35}\\\\fraction\ of\ banana\ put\ altogether = \frac{19}{35}[/tex]
Thus they put [tex]\frac{19}{35}[/tex] of banana by Juan and Raj altogether
Ronnie bought 6 ice cream cones for himself and his friends. Seventeen cents tax was added to the price of each cone. The total cost was $14.58.
What was the price of a cone before tax?
Enter your answer in the box.
Answer:
$2.26
Step-by-step explanation:
6 ice cream cones means the price is 6 time as much as on cone so divide by 6.
$14.58 total
/6 number of cones
$2.43 cost of a single cone
now, we remove the $0.17 tax
$2.43
-$ .17
$2.26
Answer:
226 cent
Step-by-step explanation:
Let x represent the price of a single cone
6×(x+17) = 1458
⇔ x+17 = 1458/6 =1 458÷6 = 243
⇔ x = 243 - 17 = 226
How to explain how to graph the problem y=10x+15
anyone wanna help out?
Answer:
To find out the length of AB you are trying to figure out how long it is
If B is at 45, and A is at 16
You need to figure out how far it is from 16 to 45
In order to do this the easiest way, you would go 45-16
45-16=29
AB=29
Hope this helps ;)
math question thanks if you help!
Answer:
- 12
Step-by-step explanation:
The rate of change is measured by the slope m of the data
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, - 2) and (x₂, y₁ ) = (5, - 26) ← 2 ordered pairs from the table
m = [tex]\frac{-26+2}{5-3}[/tex] = [tex]\frac{-24}{2}[/tex] = - 12
Rate of change = - 12
Need help picture is displayed
Answer:
x= 40°
Step-by-step explanation:
Please see attached picture for full solution.
Key concepts:
- Corresponding angles are equal to each other
- The sum of the angles in a triangle add up to 180°
Write the slope-intercept form of the equation of the line that passes through the given points: (-4, -2) and (3, -1)
[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-4)}}}\implies \cfrac{-1+2}{3+4}\implies \cfrac{1}{7}[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{\cfrac{1}{7}}[x-\stackrel{x_1}{(-4)}]\implies y+2=\cfrac{1}{7}(x+4) \\\\\\ y+2=\cfrac{1}{7}x+\cfrac{4}{7}\implies y=\cfrac{1}{7}x+\cfrac{4}{7}-2\implies y=\cfrac{1}{7}x-\cfrac{10}{7}[/tex]
What multiplied by 3 equals 15 but added by 3 equals 18
Answer:
15
Step-by-step explanation:
Please help with this problem
Measure of one of the vertical angle is 156°
Solution:
The measure of angles given are (x + 104)° and 3x°.
The given angles are vertical in order.
If two lines meet at a point, then the angle formed in vertical positions are equal.
That is vertically opposite angles are equal.
⇒ 3x° = (x + 104)°
⇒ 3x° = x° + 104°
Subtract x° on both sides of the equation to equal the expression,
⇒ 3x° – x° = x° + 104° – x°
⇒ 2x° – x° = 104°
⇒ 2x° = 104°
Divide both sides of the expression by 2, we get
⇒ x° = 52°
Substitute x° = 52° in one of the vertical angle.
3x° = 3 × 52° = 156° (or)
x° + 104° = 52°+ 104° = 156°
Hence the measure of one of the vertical angle is 156°.
-2x+y=-12, 3y- 2x=-12
Answer:
x = 6
y = 0
Explanation:
−2x+y=−12;3y−2x=−12
Rewrite equations:
−2x+y=−12;−2x+3y=−12
Solve −2x+y=−12 for y
−2x+y=−12
−2x+y+2x=−12+2x(Add 2x to both sides)
y=2x−12
Substitute 2x−12 for y in −2x+3y=−12
−2x+3y=−12
−2x+3(2x−12)=−12
4x−36=−12 (Simplify both sides of the equation)
4x−36+36=−12+36 (Add 36 to both sides)
4x=24
Divide both sides by 4
4x / 4 = 24 / 4
x = 6
Substitute 6 for x in y=2x−12
y=2x−12
y=(2)(6)−12
y=0 (Simplify both sides of the equation)
How do I mutiply 14(a+5+6b)
Answer:
14a + 70 + 84b
Step-by-step explanation:
Each term in the parenthesis is multiplied by 14, that is
= (14 × a) + (14 × 5) + (14 × 6b)
= 14a + 70 + 84b
On square JKLM below if J is located at (-2,5) and K is located at (2,2) what is the slope of LK
Answer:
Slope= -3/4
Step-by-step explanation:
What is the equation of the line that is parallel to y = –4x + 3 and has a y-intercept of -1/3
The equation of the line that is parallel to given line is 12x + 3y = -1
Solution:
Given that, the line that is parallel to y = –4x + 3 and has a y-intercept of -1/3
Given equation of line is:
y = -4x + 3
Let us first find the slope of line
The equation of line in slope intercept form is given as:
y = mx + c ------- eqn 1
Where, "m" is the slope and "c" is the y intercept
On comparing the above slope intercept form with given equation of line, we get m = -4
Thus the slope of line with equation y = -4x + 3 is -4
We have to find the slope of line that is parallel to above line
We know that slopes of parallel lines are equal
Therefore, slope of line passing parallel to given line is -4
Now find the equation of line
[tex]\text{Substitute } m = -4 \text{ and } c = \frac{-1}{3} \text{ in eqn 1 }[/tex]
[tex]y = -4x -\frac{1}{3}\\\\3y = -12x -1\\\\12x + 3y = -1[/tex]
Thus the equation of line is found
[tex]1 \frac{3}{5} + \sqrt{4} [/tex]
Step-by-step explanation:
Check out the pic, if it doesn't help you can ask me whichever part you don’t understand
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A bag of corn chips contains 1,596 calories. The bag contains 12 servings.
How many calories are in each serving of corn chips?
Enter your answer in the box.
____calories
Step-by-step explanation:
A bag of calories=1,596
calories in each serving of corn chips=?
1,596/12=133
"133 calories are present in each serving of corn chips."
Each serving of corn chips contains 133 calories.
Explanation:To find the number of calories in each serving of corn chips, we need to divide the total number of calories in the bag by the number of servings.
Calories per serving= Number of servings/Total calories in the bag
Calories per serving= 12servings/1,596calories= 133
In conclusion each serving of the corn chips contributes 133 calories to the overall caloric content of the bag.
This calculation allows you to find the caloric content per serving, providing a helpful metric for individuals managing their calorie intake.
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What is the equation of the line through (2,-4) and (0,4)
A homeowner has two people to mow his land. Person A is able to mow the land in 2 hours by herself. Person B is able to mow the land in 3 hours by himself. What would be the amount of time is will take for both persons A and B to mow the lawn together?
Answer:
1 1/2 hours
Step-by-step explanation:
divide 3/2 and whatever you got is your answer
What is area of this shape
Answer:
132 ft squared
Step-by-step explanation:
One way is to divide the shape into a rectangle and a triangle, by drawing a vertical line.
This gives a rectangle that is 9 by 11, so has area 99.
The triangle has a base of 11 and height of 15 - 9 = 6.
So the area of the triangle = 1/2 x b x h = 1/2 x 11 x 6 = 33
So the total area is 99 + 33 = 132.
How many solutions does y=-2x+4 have
What is the answer to
6(3x-5)-7x=25
Answer:
I believe the answer to this question is: X=5.
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?
Answer:
There are 8 more girls than boys.
Step-by-step explanation:
First, find how many girls and boys are in the class. Add the two parts of the ratio together, 3 and 5 to get 8. Then divide 32 by 8 to get 4. Since the total number of students in the class is 4 times the ratio of boys to girls, multiply both sides of the ratio by 4. You then get 12 boys : 20 girls. You can check this by adding 12 + 20 to get 32. Next, subtract the number of girls from the boys. 20 - 12 = 8. Therefore, there are 8 more girls than boys.
Therefore there are 8 girls more than boys
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A plane was traveling from Florida to Canada. It flew 5 hours and went 1895km what was it’s velocity?
The velocity of plane is 379 kilometer per hour
Solution:
Given that, plane was traveling from Florida to Canada
It flew 5 hours and went 1895 km
To find: Velcoity
The velocity can be found by dividing the distance traveled by time taken
[tex]velocity = \frac{distance}{time}[/tex]
Here in this sum,
distance = 1895 km
time = 5 hours
Substituting the values in formula,
[tex]velocity = \frac{1895}{5}\\\\velocity = 379[/tex]
Thus velocity of plane is 379 kilometer per hour
Find the quotient.
-56 ÷ -8 =
a0
Answer:
Divide −56
by −8
and the answer will be 7
Step-by-step explanation:
how do you solve -4(2z+6)-12=4?
Answer: -8z-40
Step-by-step explanation:
-4(2z+6) = -8z-24
-8z-24-12=-8z-36
-8z-36=4 (you have to move 4 to the other side of the equal sign so 4 becomes -4)
-8z-40
Answer:
z= - 5
Step-by-step explanation:
−4(2z+6)−12=4
Step 1: Simplify both sides of the equation.
−4(2z+6)−12=4(Distribute)
−8z+−24+−12=4
(−8z)+(−24+−12)=4(Combine Like Terms)
−8z−36=4
Step 2: Add 36 to both sides.
−8z−36=4
−8z=40
Step 3: Divide both sides by -8.
−8z=40
z=−5
I hope that this will help