Answer:
The appropriate form for this problem is:
(Amount of Type A per bag) + (Amount of Type B per bag) = Total weight per bag
Using the given information, we can fill in the blanks:
(3 kg) + (___ kg) = (36 kg) ÷ (4 bags)
Simplifying the right side:
(36 kg) ÷ (4 bags) = 9 kg/bag
Substituting back into the equation:
3 kg + (___ kg) = 9 kg/bag
Solving for the blank:
___ kg = 9 kg/bag - 3 kg
___ kg = 6 kg/bag
Therefore, there are 6 kilograms of type B in one bag of the blend.
Nao and Arban drive to work.
Nao drives 95 miles in 2.5 hours.
Arban drives 128 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Thank You.
Answer:
41.6 km/h
Step-by-step explanation:
Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h
1 hr 15 min is the same as 1.25 hours
Arban drives 128km/1.25hr or 102.4 km/h
The difference is 102.4-60.8 = 41.6
The cup dispenser at a water cooler contains cone-shaped paper cups with the
dimensions shown.
6 cm
8 cm
Approximately how many cubic centimeters of water can each cup hold?
Does 28,53,45 make a right triangle
Answer:
yesh it does
Step-by-step explanation:
Please solve , having trouble with a couple of these
The option (3) is correct Therefore, the two lines represented by the given equations are parallel.
What are Linear Equations in One Variable?
A linear equation in one variable is an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution. For example, 9x + 78 = 18 is a linear equation in one variable.
According to question rewrite the second equation as y = 5/2x + 6, by adding 5/2x to both sides of the equation.
Comparing the two equations, we see that they both have the same slope of 5/2.
Since the slopes are equal and the y-intercepts are different, the two lines cannot be the same.
If two non-vertical lines have the same slope, they are parallel. Therefore, the two lines represented by the given equations are parallel.
The answer is (3) parallel.
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1. Mary ate 1/5 of a pizza and gave 5 / 8 of the remaining pizza to her friends. What fraction of the pizza left?
Answer:
3/10
Step-by-step explanation:
pizza ate=1/5
pizza left=1-1/5=(5-1)/5=4/5
pizza given to her friends=5/8×4/5=1/2
pizza left=4/5-1/2=(8-5)/10=3/10
Please anyone that can help me
Answer:
\(|\frac{x}{y} |\)
Step-by-step explanation:
Pre-SolvingWe are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.
We want to simplify it.
To do that, we can first simplify what is under the radical, then take the square root of what is left.
Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.
SolvingTo simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).
So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .
Under the radical, we now have:
\(\sqrt{x^2y^{-2}}\)
Now, we take the square root of both exponents to get:
\(|xy^{-1}|\)
The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.
However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.
Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).
So, by using that,
\(|x * \frac{1}{y} |\)
This can be simplified to:
\(|\frac{x}{y} |\)
a number plus 15 exceeds twice that number by 3
Translate into algebraic equation
Answer:
n + 15 > (2n) / 3
Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
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Question 2/2
Question 1 Part B (01.02, 01.03 MC): A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of
her goal.
What does the variable in the equation represent? (2 points)
4 of 19
Back
A. Amount the owner needs to sell
B. Price per item
C. Number of items sold
D. Total sales for the month
1 answer(s) selected
Open notes navigator A
A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is
C. Number of items soldWhat is variable in math?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.
Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting
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When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
value.
Answer:
Its normal value would be 50 beats per minute.
Step-by-step explanation:
20% = 10bpm
40% = 20bpm
60% = 30bpm
80% = 40bpm
100% = 50bpm
unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
In the triangles below, m
Triangle one has 3 sides
B, L, and T
Labeled 4 from B to L
5 from L to T
And 6 from B to T
Triangle two also has 3 sides
H, A, and M
Only A to M is labeled 10
The other sides don’t have numbers labeled.
The question is:
What is the length of HA?
A. 6 and 2/3
B. 8
C. 2 and 2/5
D. 15
Answer:
8
Step-by-step explanation:
so first you need to add by the fraction of 10 the the BASS of eletro power of 10¬ then you add the μ3 that is how you get 8
WILL GIVE BRAINLIEST IF CORRECT NOT TOO HARD JUST IN A RUSH!!!!!
Answer:
22.5
Step-by-step explanation:
If you divide y/x each ticket costs $2.5, so multiply 2.5x9 and that's your answer. :)
Help pls I’ll give extra points
Answer:
1. Gorgeous
2. Tremendous
3. Coarse
4. Crackling
5. Appetizing
Step-by-step explanation:
Those are the only words that make sense in each square.
Answer:
1.) gorgeous
2.) tremendous
3.) crackling
4.) coarse
5.) appetizing
6.) buttery
7.) magnificent
Hope this helps!
Find the the slope of the line y=-9x+10
Answer:
-9
Step-by-step explanation:
This equation is written in slope intercept form, so This will make it easier.
We can find the slope of the line by plotting the equation, or using the equation itself.
y = mx + b is the slope-intercept form, where m is the slope
this means that the slope is -9
Hope this helps! ^^
penny reads 14 pages in 1/4
hour. What is the unit rate for pages per hour? For hours per page?
help me pls
Estimate the perimeter and the area of the shaded figure to the nearest tenth.
A shaded composite figure is shown on a grid. The figure is made up of a triangle on the left, a square in the center, and a semicircle on the right.
The triangle is a 45, 45, 90 triangle with a hypotenuse of 6 units. The semicircle has a diameter of 6 units. The square has a side length of 2 units. One side of the square is shared with part of the hypotenuse of the triangle, and one side is shared with part of the diameter of the semicircle.
perimeter: About
units
area: about
square units
Skip to navigation
The area of the shaded figure is approximately 50.3 square units.
What is Pythagoras theorem?
The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
The perimeter of the shaded figure is approximately $2\times(4.2+2)+9.4$ or $19.8$ units.
To estimate the area of the shaded figure, we need to find the areas of the triangle, square, and semicircle.
The area of the triangle is \($\frac{1}{2}\times 6\times 6$\)or 18 square units.
The area of the square is $2\times 2$ or 4 square units.
The area of the semicircle is \($\frac{1}{2}\times\frac{1}{4}\times\pi\times6^2$\) or approximately 28.3 square units.
Hence, The area of the shaded figure is approximately \($18+4+28.3$\)or 50.3 square units.
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It’s takes an aero plane 3.2 hours to fly from Mumbai to Seoul. It takes the same aero plane 1 1/3 hours to fly from Seoul to Tokyo. How many hours does it take the aero plane to travel from Mumbai to Tokyo if it flies through Seoul?
To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.
The airplane takes 3.2 hours to fly from Mumbai to Seoul.
The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.
To find the total time, we add the two durations:
3.2 hours + 1.33 hours = 4.53 hours
Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.
Please help! this is algebra 2!
Given right triangle � � � ABC with altitude � � ‾ BD drawn to hypotenuse � � ‾ AC . If � � = 22 AD=22 and � � = 15 , DC=15, what is the length of � � ‾ BD in simplest radical form?
The length of BD is 18.5 units.
In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.
Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.
In triangle ABD, we have the following sides:
AB = AD = 22 (given)
BD = ?
Now, let's consider triangle CBD. In this triangle, we have the following sides:
BC = DC = 15 (given)
BD = ?
Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.
The area of triangle ABD can be calculated as:
Area(ABD) = (1/2) * AB * BD
Similarly, the area of triangle CBD can be calculated as:
Area(CBD) = (1/2) * BC * BD
Since the areas of ABD and CBD are equal, we can equate their expressions:
(1/2) * AB * BD = (1/2) * BC * BD
We can cancel out the common factor (1/2) and solve for BD:
AB * BD = BC * BD
Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:
AB = BC
In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.
BD is equal to half of the hypotenuse AC:
BD = (1/2) * AC
Substituting the given values, we have:
BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5
Therefore, the length of BD is 18.5 units.
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What is the volume of this figure?
Answer: 186 cubic in
Step-by-step explanation:
Lee is older than her sister by 2 years if their ages add up to 52 how old is each sister let x represent lee age and let y represent sisters age
Answer:
lee is 27 and her sister is 25.
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The diameter of a circle is 10 3/4 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer: The radius of the circle is 5 3/8 inches.
Step-by-step explanation:
The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:
10 3/4 = (10 × 4 + 3)/4 = 43/4
So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:
r = (43/4) ÷ 2 = 43/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:
r = 43/8 = 5 3/8
Therefore, the radius of the circle is 5 3/8 inches.
Answer:5 3/4
Step-by-step explanation:
10 3/4 * 1/2
1/2 * 43/4 = 43/8
8/43=5 3/4
please answer quick ! 6 9/10 - 2 2/9 = ?
Answer:
4 61/90
Step-by-step explanation:
6 - 2 = 4
9 / 10 - 2 / 9 = 61 / 90
How many fewer boys’ shoes were 19 cm long than 22 cm long?
Answer:
6 boys
Step-by-step explanation:
I had a quizlet
Trent earns scores of 60, 90, and 72 on three chapter tests for a certain class. His homework grade is 68 and his grade for a class project is 64. The overall average for the course is computed as follows: the average of the three chapter tests makes up 50% of the course grade; homework accounts for 10% of the grade; the project accounts for 20%; and the final exam accounts for 20%. What scores can Trent earn on the final exam to pass the course if he needs a "C" or better? A "C" or better requires an overall score of 70 or better, and 100 is the highest score that can be earned on the final exam. Assume that only whole-number scores are given. To obtain a "C" or better, Trent needs to score between and Inclusive.
A: 90% - 100%
B: 80% - 89%
C: 70% - 79%
D: 60% - 69%
F: 0% - 59%
Using the data provided:
\(0.5(\frac{60+90+72}{3})+0.1(68)+0.2(64)+0.2(x)\ge70\)Where:
x = Score of the final exam in order to get at least a C.
Solve for x:
\(\begin{gathered} 37+6.8+12.8+0.2x\ge70 \\ 56.6+0.2x\ge70 \\ 0.2x\ge70-56.6 \\ 0.2x\ge13.4 \\ x\ge\frac{13.4}{0.2} \\ x\ge67 \end{gathered}\)He needs to score between 67 and 100
How many ¼ pound bags of nuts can be made from a 2 1/2 pound bag of nuts?
Answer:
9 bags
Step-by-step explanation:
2 1/4 ÷ 1/4
9/4 ÷ 1/4
9/4 x 4/1 = 9
You are shown a scatter plot where the variables have a positive correlation, but there are no labels on the axes.Which of the following options could be used to label the axes? Select all that apply.A)The amount of money raised by a charity each week.B)The number of softball pitches thrown in games during the season.C)The age of viewers for a weekly television show and minutes watched.D)The height of a toddler after each month. E)The number of hours of babysitting and the amount of money paid.
It's important to know that a positive correlation refers to a relationship between variables when both increase, and we get an increasing function representing that situation, for example, a positive correlation can be modeled by age and height, both variables increase with time.
So, in this case, the answer choice that models a positive correlation is A, D, and E.
Let's analyze each of them.
A. The amount of money raised by a charity each week.This is a positive correlation because the amount of money increases while time also increases (time can't go backward).
D. The height of a toddler after each month.This is a positive correlation because the heigh increases with time (as we said in the example at the beginning of the answer).
E. The number of hours of babysitting and the amount of money paid.This is a positive correlation because the more hours of babysitting more money have to be paid.
What number is 32% of 100?
Answer:
32
P = 100 × 32%(0.32) = 32
Answer:
32
Step-by-step explanation: You multiply 100 by 0.32 which is 32% as a decimal
7. Which of the following has a value 1
Using the rules of indices to evaluate the expressions given, that with a value of 1 is (3² * 3⁵)/3¹⁰
Evaluating each expression1.)
\(7^{-6} \times 7^{5} = 7^{-6+5} = 7^{-1} = \frac{1}{7}\)
2.)
10³/10² = 10¹ = 10
3.)
(5⁶)²/5⁸ = 5¹²/5⁸ = 5⁴ = 625
4.)
(3² * 3⁵)/3¹⁰ = 3¹⁰/3¹⁰ = 3⁰ = 1
Therefore, the expression which has a value of 1 is the option D
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