Answer:
14 of these device have to fill and pour in order to add enough sugar.
Step-by-step explanation:
Given:
The recipe calls for 4 2/3 cups of sugar. The only measuring device which measures 1/3 cup.
Now, to get how many of this device have to fill and pour in order to add enough sugar.
First we convert the quantity in improper fraction from mixed :
[tex]4\frac{2}{3} = \frac{14}{3}[/tex]
According to question:
We divide 14/3 cups of sugar by 1/3 measuring cup to get quantity of device to be fill and pour:
[tex]\frac{14}{3} \div \frac{1}{3}[/tex]
[tex]\frac{14}{3}\times \frac{3}{1}[/tex]
Now, by evaluating we get:
[tex]14[/tex]
Therefore, 14 of these device have to fill and pour in order to add enough sugar.
4p+10=p-14 what is the solution and how do you check the solution
Answer:
p=-8
Step-by-step explanation:
Its on the picture
realize the following operations in order for the response to be in a+bi:
[tex] \frac{4 + 2i}{1 - 3i} [/tex]
Answer:
(7i-1)/5
Step-by-step explanation:
(4+2i)/(1-3i)
the opposite of 1-3i is 1+3i
multiply that
[(4+2i)(1+3i)]/[(1-3i)(1+3i)]
=[(4+2i+12i+6i^2)]/[(1-3i+3i-9i^2)]
=[(4+14i+6(-1))]/[(1-9(-1))]
=(4+14i-6)/(1+9)
=(-2+14i)/10
factor out the 2,
[-2(1-7i)]/10
-(1-7i)/5
(-1+7i)/5
(7i-1)/5
Remember that i^2=-1, because sqrt(-1)*sqrt(-1)=-1.
Tyler is going on a hiking trip . At the end of the first day he has 5,250 feet left to climb . He plans to climb 500 feet each day
Answer:
12 days
Step-by-step explanation:
At the end of the first day he has the distance left to climb = 5,250 feet
He plans to climb the distance each day = 500 feet
Number of days to complete his trip = [tex]\frac{5,250}{500}[/tex]
= 10.5 ≈ 11 days
He has already climbed for one day, so he will finish his trip in 1 + 11 = 12 days.
Betty has $15 to buy plants for her greenhouse. Each plant costs $6. How
many plants can she buy? Do not include units in your answer.
Answer:
2
Step-by-step explanation:
If 15 dollars is what she has. you take 6 for one plant away from that 15 to become 9. Then she can buy one more. 2 plants now for 12 dollars. since she only has 3 left, she can't buy another.
Answer:
the answer to your qestoin is 2
(30 POINTS) see image and evaluate
Answer:
1/400
Step-by-step explanation:
i put it in the calculator and got 1/400
Answer:
I believe it's 1/400 or 0.0025
in a parallelogram wxyz, wxy= 72 degrees, zwy= 80 degrees.Calculate
a- wzy
b- xwz
c - wyz
Answer:
Part a) m∠WZY=72°
Part b) m∠XWZ=108°
Part c) m∠WYZ=28°
Step-by-step explanation:
we know that
In a parallelogram opposite angles are congruent and consecutive angles are supplementary
see the attached figure to better understand the problem
Part a) Find the measure of angle WZY
we know that
m∠WZY≅m∠WXY ----> by opposite angles
we have
m∠WXY=72°
therefore
m∠WZY=72°
Part b) Find the measure of angle XWZ
we know that
m∠XWZ+m∠WXY=180° ----> by consecutive angles
we have
m∠WXY=72°
substitute
m∠XWZ+72°=180°
m∠XWZ=180°-72°
m∠XWZ=108°
Part c) Find the measure of angle WYZ
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
In the triangle WZY
m∠ZWY+m∠WZY+m∠WYZ=180°
we have
m∠ZWY=80°
m∠WZY=72°
substitute
80°+72°+m∠WYZ=180°
152°+m∠WYZ=180°
m∠WYZ=180°-152°
m∠WYZ=28°
In a parallelogram, finding angles involves rules like opposite angles being equal and adjacent angles being supplementary. wzy = 72 degrees, xwzc = 80 degrees, and wyz = 108 degrees.
Given:
wxy = 72 degrees
zwy = 80 degrees
To find:
wzy: Opposite angles in a parallelogram are equal, so wzy = wxy = 72 degrees
xwzc: Opposite angles in a parallelogram are equal, so xwzc = zwy = 80 degrees
wyz: Adjacent angles in a parallelogram are supplementary. Therefore, wyz = 180 - wxy = 180 - 72 = 108 degrees
-3x+3y=9 2x−7y=−14
945 divided by 6.6
[tex]945 \div 6.6[/tex]
Answer:
143.1818
Step-by-step explanation:
Megan and molly have an age gap of 6 years. Megan is older. If molly is 8 years old, then how old is Megan?
Answer:
Megan is 14
Step-by-step explanation:
Megan is M
Molly is Mo
Mo = 8
M = x
6 + mo = x
6 + 8 = 14
If Molly is 8 years old and there is a 6-year age gap between her and Megan, then Megan must be 6 years older than Molly.
Therefore, Megan is 8 + 6 = 14 years old.
This age gap of 6 years means that Megan was born 6 years before Molly.
Age gaps are calculated by subtracting the younger person's age from the older person's age.
It's important to note that Megan is the older of the two, and the age difference remains constant as they both get older.
Understanding age differences is essential in various contexts, from family dynamics to social relationships and legal matters.
In this case, it's a straightforward calculation, but age gaps can have significant implications in more complex situations, such as legal age requirements, generational differences, and even compatibility in personal relationships.
In this instance, Megan is 6 years older than Molly, and that age gap will remain consistent as they both grow older.
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WILL POSSIBLY MARK BRAINLIEST IF GOOD ANSWER!!!
The table shows the number of desks in each classroom
at three different schools. Which expressions represent the total number of desks? Select all that apply.
Thanks**!
Answer:
Hahahahahaha how we Answer without any options
Answer: a, c, and d
Step-by-step explanation:
for anybody that needs it now ^^
it says the total number of all the desks from all classrooms and schools
a. 2 x (12 x 35) + 15 x 20) -- correct
b. 2 x (12 + 12 + 15) -- incorrect
c. (2 x 12) x 25 + 15 x 20 -- correct
d. 15 x 20 + (2 x 12) x 25 -- incorrect
why is b incorrect?
b says 2 times 12 + 12 + 15 --- 2 x (12 + 12 + 15) only shows two times the number of classrooms -- not the total number of desks from each classroom in each school (i cant english im sorry)
A salesperson earns 4% commission on furnace sales. What is the commission that the salesperson earns on the sale of $33,000 worth have furnaces? Suppose the salesperson doubles his sales of furnaces. What would be true about the commission? Explain without using any calculations.
The commission that the salesperson earns on the sale is $1320
The commission would be double when he doubles his sales of furnaces
Step-by-step explanation:
The given is:
A salesperson earns 4% commission on furnace salesThe furnace sales have worth $33,000We need to find the commission that the salesperson earns
∵ The salesperson earns 4% commission on furnaces sale
∵ The furnaces sale have worth $33,000
- Find the 4% of 33,000
∴ The salesperson earns 4% of 33,000
∵ 4% × 33,000 = [tex]\frac{4}{100}[/tex] × 33,000 = 1320
∴ The salesperson earns $1320
The commission that the salesperson earns on the sale is $1320
∵ The salesperson doubles his sales of furnaces
∴ The commission would be double
That because the commission is a constant percent from his sales of furnaces, so if the amount of his sales of furnaces doubles , then his commission also doubles, it is a direct proportion relationship
Commission = constant (4%) × amount of furnaces sale
The commission would be double when he doubles his sales of furnaces
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please help wit all the questions!! leave explanation below thanks!
Answer:
4. The relationship is proportional because, for every 12 students, there is one chaperone and when you multiply 12 by the number of chaperones you get the same numbers that the table shows.
1. the relationship is proportional.
45/1= 45
45/2 = 90
45/3 = 135
45/3 = 180
2. the constant of 2 is 10. the constant of 3 is 2.
the relationship between x and y is that x divided by y equals the constant.
4. x divided by y equals the constant, or
x÷y=c(constant)
hope that helps and sorry for taking so long
The Roasted Bean charges
$17,00 per pound for Fair Trade Organic Mexican
coffee and $15.00 per pound for Fair Trade Organic
Peruvian coffee. How much of each type should be
used to make a 28-lb blend that sells for $16.00 per
pound?
Answer:
14 pounds of each type should be used to make a 28 pounds blend that sells for $16 per pound.
Step-by-step explanation:
The Roasted Bean charges $17 per pound for Fair Trade Organic Mexican coffee and $15 per pound for Fair Trade Organic Peruvian coffee.
Let x pounds of Mexican coffee and y pounds of Peruvian coffee are mixed to prepare a 28 pounds blend that sells for $16 per pound.
So, x + y = 28 ........... (1)
Again, [tex]\frac{17x + 15y}{x + y} = 16[/tex]
⇒ 17x + 15y = 16x + 16y
⇒ x = y .......... (2)
Now, from equation (1) we have 2x = 28
⇒ x = 14 pounds
And y = 14 pounds. (Answer)
In the lab, Teresa has two solutions that contain alcohol and is mixing them with each other. She uses 4 times as much
Solution A as Solution B. Solution A is 17% alcohol and Solution B is 12% alcohol. How many milliliters of Solution B does
she use, if the resulting
mixture has 560 milliliters of pure alcohol?
Number of milliliters of Solution B:
Help
By setting up a system of equations to represent the mixing of solutions and the amount of alcohol present, we find that Teresa uses approximately 80 milliliters of Solution B.
Explanation:In the lab, Teresa is mixing two solutions, A and B, with Solution A used 4 times as much as Solution B. Solution A consists of 17% alcohol and Solution B consists of 12% alcohol. In the question, we know that the resulting mixture contains 560 milliliters of pure alcohol. To find out how many milliliters of Solution B we need, we can set up a system of equations based on the given situation:
The total volume of Solution A and B is x + 4x = 5x The amount of alcohol comes from: 0.17*4x (from Solution A) + 0.12*x (from Solution B) = 560ml
From these two equations, we can solve for x, which represents the amount of Solution B. This gives us x ~= 80 milliliters. This means Teresa uses approximately 80 milliliters of Solution B.
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Final answer:
To find the volume of Solution B that Teresa uses, we set up an equation using the given alcohol percentages and the total alcohol volume in the mixture. Solving the equation, we find that Teresa uses 700 milliliters of Solution B.
Explanation:
To solve this problem, we can use the concept of proportions and weighted averages to determine the quantity of Solution B. Let's denote the volume of Solution B as VB and therefore, the volume of Solution A is 4VB because we are given that Teresa uses 4 times as much Solution A as Solution B.
According to the alcohol percentages, we can write the following equations:
Solution A (17% alcohol): 0.17 × 4VB
Solution B (12% alcohol): 0.12 × VB
The total volume of alcohol in the resulting mixture is 560 milliliters, which is the sum of alcohol from both solutions:
0.17 × 4VB + 0.12 × VB = 560
Combining like terms, we obtain a single equation:
0.68VB + 0.12VB = 560
This simplifies to:
0.80VB = 560
Now, solving for VB:
VB = 560 / 0.80
After calculating, we get:
VB = 700 milliliters
Hence, Teresa uses 700 milliliters of Solution B.
the number 42,__2 rounded to the hundred place is 42300. what is the least possible sum of the two missing digits? justify your answer.
Least possible sum of missing digits is 3 that is 3 + 0 and missing numbers are 30
Solution:
Given that number 42,__2 rounded to the hundred place is 42300 .
Need to determine least possible sum of the two missing digits.
first lets see what all numbers can be rounded to 300
number from 251 to 349 can be rounded to 300 as 251 is more close to 300 than 200 and 349 is closer to 300 than 400.
But in our case at ones place we are having 2 , so possible numbers having 2 at ones place and in between 251 to 349 are 252 , 262 , 272 , 282 , 292 , 302 , 312 , 322 , 332 and 342.
but we are only concern numbers at hundred and tens place
so now we have 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 and 34.
Out of this set we want numbers whose sum is least . So if you carefull observer that number is 30 having least sum as 3 + 0 = 3 .
So missing numbers in 42,__2 is 30 and number is 42,302.
Hence we can conclude that least possible sum of missing digits is 3 that is 3 + 0 and missing numbers are 30.
The resistance, R of a wire varies directly as the length, l, and inversely as the diameter, d, squared. If R is 1.50ohms when l=2.0 m and d=1.5 mm, what is the resistance of a wire made of the same material that is 8.0 m long and has a diameter of 3.0 mm?
Answer:
resistance is 1.5 ohms (1.5 Ω)
Step-by-step explanation:
R varies directly with l
R varies inversely with [tex]d^2[/tex]
We can set-up a proportionality statement as shown below:
[tex]R=k\frac{l}{d^2}[/tex]
Now, Given,
R = 1.50
l = 2
d = 1.5
We substitute and find k (the proportionality constant):
[tex]R=k\frac{l}{d^2}\\1.5=k\frac{2}{1.5^2}\\1.5=\frac{2k}{2.25}\\2k=1.5*2.25\\2k=3.375\\k=1.6875[/tex]
Now, we will use this value of k to solve the problem.
Given,
l = 8
d = 3
and
k = 1.6875
We find R:
[tex]R=k\frac{l}{d^2}\\R=1.6875\frac{8}{3^2}\\R=\frac{1.6875*8}{9}\\R=1.5[/tex]
The resistance is 1.5 ohms (1.5 Ω)
Solve the inequality. Graph the solution.
6n < 90
Answer:
any number less than 15 will work n<15
Step-by-step explanation:
I divided the 6n so I could do 90/6 then equals 15=n so if I do 6 times 15 it would be 90 so that would no be true 90<90 so that means n has to be less than 15
n<15
find the area and perimeter of the rectangle with vertices (4, -7), (-3, -7), (-3, 3), and (4, 3).
Answer:
Area: 42
Perimeter = 26
Step-by-step explanation:
Distance from (4,-7) to (-3,-7) = 7
Distance from (-3,-7) to (-3,3) = 6
These are the length and width of the rectangle.
Area: 7 * 6 = 42
Perimeter = 2*(7+6) = 26
The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width of the rectangle. Can the perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units?
No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.
No. If the length is 24 units and the width is 11 units, the perimeter would be P = 24 + 22 = 66 units, not 60.
Yes. If the perimeter is 60 units and the width is 11 units, then P + W is greater than 48.
Yes. If the length is 24 units and the width is 11 units, then P = 2L + 2W = 60.
Answer:
No. if the length is 24 units and the width is 11 units, the perimeter would be p=48+22=70
Step-by-step explanation:
w=11 and l=24
P=2l+2w
P=2(24)+2(11)
P=48+22
P=70
The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units; No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.
What is perimeter?Its the sum of length of the sides used to made the given figure.
Given that the perimeter of a rectangle can be found using the equation P = 2L + 2W.
where P is the perimeter, L is the length, and W is the width of the rectangle.
Thus, w=11 and l=24
P=2l+2w
P=2(24)+2(11)
P=48+22
P=70
Hence, The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units;
No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.
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simplify -3w-5(4x-4w)-4x
-3w-5(4x-4w)-4x
multiply the bracket by -5
(-5)(4x)=-20x
(-5)(-4w)=20w
-3w-20x+20w-4x
-3w+20w-20x-4x ( combine like terms)
answer:
17w-24x or -24x+17w
What is the median of $9.84, $11.75, $12.50, $12.98, $13.88
Answer: $12.50
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
To find the median of these numbers, let's start by writing our data set from least to greatest.
$9.84, $11.75, $12.50, $12.98, $13.88
So the median will be the middle number or $12.50.
The median is the middle number of a data set.
$9.84, $11.75, $12.50, $12.98, $13.88
If their isn't a perfect middle number then you take 2 middle numbers and find the number that is between them.
________
Best Regards,
Wolfyy :)
Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)
Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:
[tex]y =\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Given points are:
(x1,y1) = (6,-2)
(x2,y2) = (12,1)
The slope intercept form is:
[tex]y=mx+b[/tex]
We have to find the slope first
[tex]m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}[/tex]
Putting the value of slope
[tex]y = \frac{1}{2}x+b[/tex]
To find the value of b, putting (12,1) in the equation
[tex]1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5[/tex]
Putting the values of m and b
[tex]y =\frac{1}{2}x-5[/tex]
Hence,
Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:
[tex]y =\frac{1}{2}x-5[/tex]
Keywords: Equation of line, slope-intercept form
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To write the equation in slope-intercept form, find the slope and y-intercept using the given points. The slope is 1/2, and the y-intercept is -5. The equation is y = (1/2)x - 5.
Explanation:To write an equation in slope-intercept form, we need to find the slope (m) and the y-intercept (b). The slope can be calculated using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the slope is (1 - (-2)) / (12 - 6) = 3/6 = 1/2.
Now, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values, we get y = (1/2)x + b.
To find the value of b, we can substitute the coordinates of one of the given points (6, -2) into the equation. -2 = (1/2)(6) + b. Solving for b, we get b = -2 - 3 = -5.
Therefore, the equation in slope-intercept form of the line that passes through (6, -2) and (12, 1) is y = (1/2)x - 5.
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What is the sum of the solutions of x2 + 9x + 20 = 0?
What is the product (or multiplication) of the solutions of 6x2 + 7x = 3?
Answer:
Sum of the solutions of [tex]x^2+9x+20=0[/tex] is -9.
Product of the solutions of [tex]6x^2+7x=3[/tex] is [tex]-0.50[/tex]
Step-by-step explanation:
1. [tex]x^2+9x+20=0[/tex]
Given:
The expression whose sum of the solution is required is given as:
[tex]x^{2} +9x+20=0[/tex]
For a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] the sum of the solutions is given as:
Sum = [tex]\frac{-b}{a}[/tex]
Here, [tex]a=1,b=9,c=20[/tex]
Therefore, the sum of the solutions = [tex]-\frac{9}{1}=-9[/tex]
2. [tex]6x^2+7x=3[/tex]
Rewriting the above equation in a standard quadratic equation, we get:
[tex]6x^2+7x-3=0[/tex]
For a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] the product of the solutions is given as:
Product = [tex]\frac{c}{a}[/tex]
Here, [tex]a=6,b=7,c=-3[/tex]
Therefore, the product of the solutions = [tex]\frac{-3}{6}=-0.50[/tex]
Which of the following best represents the average rate at which a person can
quickly walk?
01) 3 steps per hour
O2) 3 steps per second
03) 30 steps per minute
O4) 30 steps per second
A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost $6
each and four-topping pizzas that cost $10 each. They order c cheese pizzas and f four-topping pizzas.
Which expression represents the total cost of all the pizzas they order?
The total cost of all the pizzas that the softball team order can be calculated as 6c + 10f, where c represents the number of cheese pizzas ordered, and f represents the number of four-topping pizzas ordered.
Explanation:To determine how much the softball team is spending on pizzas, we need to multiply the cost of each type of pizza by the number of each type they are ordering. For the cheese pizzas, that cost $6 each, the cost will be:
6c (where 'c' is the number of cheese pizzas).
For the four-topping pizzas, that cost $10 each:
The cost will be 10f (where 'f' is the number of four-topping pizzas).
Now, to calculate the total cost, we add up the cost of the cheese pizzas and the four-topping pizzas:
Total cost = 6c + 10f
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lauren planted 20 flowers, but her neighbors dog ate 7 of them. what percent of the flowers did the dog eat
twice the difference of a number and 4 is less than the sum of the number and five. Solve please
Answer:
[tex] - 2x + 4 < x + 5 \\ - 2x - x < 5 + 4 \\ - 3x < 9 \\ x = - 3[/tex]
hope this helps you
After solving the inequality, the value obtained will be equal to x < 9.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the given information in the question,
The given statement is,
Twice, the difference between a number and 4 is less than the sum of the number and five.
In mathematical form, it can be written as:
Let the unknown number be x.
2x - 4 < x + 5
Let's solve the equation for x.
2x - x < 5 + 4
x < 9
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HOBBIES Tawa wants to increase her rock collection by a power of three this year and
then increase it again by a power of two next year. If she has 2 rocks now, how many
rocks will she have after the second year?
Answer:
64
Step-by-step explanation:
Multiply 2 by itself three times, which gives you 8. Multiply 8 by itself twice, which gives you 64.
Tawa will multiply her initial 2 rocks by 3 in the first year, giving her 6 rocks.
In the second year, she multiplies the 6 rocks by 2, which results in a total of 12 rocks after two years.
Explanation:To solve how many rocks Tawa will have after two years, we follow two steps of exponential growth.
Initially, she has 2 rocks.
After the first year, her collection will increase by a power of three, which means we will multiply 2 by 3 to find the new total:
2 rocks × 3 = 6 rocks.
After the second year, the number of rocks is going to increase by a power of two.
We then take the new total from the first year and multiply it by 2:
6 rocks × 2 = 12 rocks.
So after increasing her collection by a power of three in the first year, and then by a power of two in the second year, Tawa will have a total of 12 rocks
What is 3y+4+3y-6=34
Answer:
Y=10
Step-by-step explanation:
Answer: y
=
−
6
Hopefully this helps!
Choose the answer that best translates
the algebraic expression below.
9a
9 more than a number
9 less than a number
9 times a number
9 divided by a number
Answer:
9 times a number
Step-by-step explanation:
If a number and a variable are next to each other, you multiply.