Answer: We compare today's soup to the usual recipe by using "Unitary Method".
Step-by-step explanation:
Since we have given that
The Soup Shack makes tomato soup with 9 tomatoes for every 12 cups of soup.
For every 12 cups of soup , 9 tomatoes is needed
For every 1 cup of soup , the number of tomato is needed is given by
[tex]\frac{9}{12}=\frac{3}{4}[/tex]
Today, they made 8 cups of soup with 6 tomatoes ,
For 8 cups, 6 tomatoes are used .
For 1 cup, number of tomato is used is given by
[tex]\frac{6}{8}=\frac{3}{4}[/tex]
So, we can see that both the soup has same quantity .
∴ We compare today's soup to the usual recipe by using "Unitary Method".
witch set of numbers could represent the side lengths of a right triangle
Find the average annual depreciation for a car that cost $19000 three years ago and is now worth $12100
A line has slope 2/3 and y–intercept −2.
Which answer is the equation of the line?
(picture is my choices)
The generic form of straight line consisting of slope and y intercept is given by
y = mx + c
Where 'm' is the slope of the straight line and 'c' is the y-intercept
In the problem, it is given that slope of the line is 2/3 and y intercept is -2 :
m = ²/₃
c = -2
By putting these values in the equation above, we get:
y = ²/₃x - 2
Hence, the second option is correct.
Hope it helps ..!!
Thank you :)
How many $10 bills are the same as ten $1 bills
The daily changes in the barometric pressure for four days are − − 0.05, 0.09, − − 0.04, and − − 0.08 inches. a. What is the mean change? Write your answer as a decimal. The mean change is inch. Question 2 b. The mean change after five days is − − 0.01 inch. What is the change on the fifth day? Write your answer as a decimal. The change on the fifth day is inch
The circumference of a circular swimming pool is 100 feet. If the radius of the pool is doubled, what will the new circumference be?
HELP! I will give brainliest!
Felicity is placing a rectangle in the coordinate plane. She knows that the longer side of the rectangle is 3 times its shorter side. She places the longer side on the x-axis.
What coordinates should she assign to the top-right vertex of the rectangle?
Let
a-------> the shorter side of the rectangle
b------> the longer side of the rectangle
we know that
[tex]b=3a[/tex]
therefore
the dimensions of the rectangle are
[tex]3a*a[/tex]
the answer is
the coordinates of the top-right vertex are [tex](3a,a)[/tex]
A student pays for 8.9 pounds of apples with a $10 bill. How much change does the student receive if the apples are .99 per pound
Answer:
[tex]\$\,1.19[/tex]
Step-by-step explanation:
Quantity of apples bought by the student = 8.9 pounds
Amount paid by the student for apples bought by the student = [tex]\$[/tex] 10
If cost of one pound of apples is [tex]\$[/tex] 0.99 then cost of 8.9 pounds = 0.99 × Quantity of apples bought by the student = [tex]8.9\times 0.99=8.811[/tex]
Therefore,
Amount of change that the student receive if the apples are .99 per pound = Amount previously paid by the student for apples bought by the student when the student pays [tex]\$[/tex] 10 - Amount paid by the student for apples if the apples are .99 per pound = [tex]\$ \,10-\$ \,8.811=\$\,1.19[/tex]
what is the solution set of the equation x2 + 3x - 4 = 6
If the sample size is multiplied by 4, what happens to the standard deviation of the distribution of sample means?
Increasing the sample size by a factor of 4 or multiplying it by 4 is equal to increasing the standard error by 1/2. Therefore, the interval will be half as varied. This also works almost for population averages as lengthy as the multiplier from the t-curve doesn't modify much when increasing the sample size.
Using Distributive Property to multiply
28 x 4=
19 x 5=
41 x 6=
A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many miles Sharon can travel if she has $25 to spend.
A.$0.50 + $1.50x ≤ $25; x ≤ 16 miles
B.$0.50 + $1.50x ≥ $25; x ≥ 16 miles
C.$1.50 + $0.50x ≤ $25; x ≤ 47 miles
D.$1.50 + $0.50x ≥ $25; x ≥ 47miles
HELP!! what are the coordinates of the vertex of the parabola described by the equation below y=-5(x+2)^2+7
Answer: (-2,7)
Step-by-step explanation:
Loren makes $9 per hr and Julie makes $12 per hour. What is the ratio between how much Loren makes per hour and how much Julie makes per hour?
of the 24 students in gregs class, 3/8 ride the bus to school. how many students ride the bus?
Answer:
9 students ride the bus.
Step-by-step explanation:
Given: The total number of students in gregs class is 24 and [tex]\frac{3}{8}[/tex] ride the bus to school.
To find how many students ride the bus;
Let x be the number of student ride the bus.
Proportional is simply a statement that the two ratios are equal.
It can be written in two ways i.e, [tex]\frac{a}{b} = \frac{c}{d}[/tex] or
[tex]a : b :: c :d[/tex]
Then, as per the given conditions;
x : 24 = 3 : 8 or
[tex]\frac{x}{24} = \frac{3}{8}[/tex]
Multiply both sides by 24 we get;
[tex]\frac{x}{24} \times 24 =\frac{3}{8} \times 24[/tex]
Simplify:
x = 9
Therefore, the student ride the bus is, 9
how many lines of reflectional symmetry does an equilateral triangle have
Answer:
only 3 lines of symmetry does an equilateral triangle have.
Explanation:
Since a triangle can have 3 or 1 or no lines of symmetry.
In a equilateral triangle:
*All sides are equal
*All angles are equal i.e each of 60 degree.
Symmetry is when there is an exact replica or reflection of a shape or a line.
Line of symmetry: It is an imaginary line that runs through the center of a line or shape creating two perfectly identical halves.
A line of symmetry for a given triangle must go through each vertex as shown in figure;
Therefore, the equilateral with 3 sides equal has 3 lines of symmetry.
An equilateral triangle has [tex]\fbox{\begin\\\ 3\text{lines}\\\end{minispace}}[/tex] of reflection symmetry.
Further explanation:
A triangle is a two dimensional closed figure which is formed when three non-collinear points are joined. There are three sides, three angles and three vertices of a triangle.
On the basis of sides and angles triangles are classified as follows:
1) Scalene triangle: A triangle in which all the sides and the angles have a unique value is called a scalene triangle.
2) Isosceles triangle: A triangle in which any two sides or two angles are equal then the triangle is called an isosceles triangle.
3) Equilateral triangle: A triangle in which all the sides and the angles are equal then the triangle is called an equilateral triangle.
A line of reflection is defined as a line across which the image of a figure or an object is reflected.
The reflected image is of same size as of the original image.
In case of an equilateral triangle if we drop a median from one of the vertex of the triangle to its opposite side then it is observed that the median divides the equilateral triangle into two equal halves.
From figure 1 (attached in the end) it is observed that the median AD of an equilateral trinagle [tex]\triangle \text{ABC}[/tex] divides the triangle into two equal halves.
As per the above statement it is concluded that the median AD is the line of reflection symmetry for the equilateral triangle [tex]\triangle \text{ABC}[/tex].
Now, similarly if we drop a median form the vertex B or C to its opposite side then it is observed that the triangle into two equal halves.
Figure 2 (attached in the end) shows that the median dropped from the vertex B and C divides the triangle into two equal halves.
This implies that the median BD and CD are also the line of reflection symmetry for the equilateral triangle ABC.
So, the total number of lines of reflection symmetry for an equilateral triangle is [tex]3[/tex].
Thus, an equilateral triangle has [tex]3[/tex] lines of reflection symmetry.
Learn more:
1. A problem to complete the square of quadratic function https://brainly.com/question/12992613
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3. Inverse function https://brainly.com/question/1632445
Answer details
Grade: High school
Subject: Mathematics
Chapter: Triangles
Keywords: Triangle, isosceles, scalene, equilateral, angles, vertex, non-collinear, reflection, symmetry, line of reflection, line of symmetry, median, reflected image.
Why am I wrong?
Picture attached.
How to estimate 75x5?
To estimate 75 x 5 you first need to round 75 to 80 and then solve the multiplication.
How to estimate numbers?Estimating numbers implies rounding them if possible to simplify mathematical operations. Let's then round the numbers given:
75 = It can be rounded to 80, which is the nearest multiple of 10.
5 = It does not need to be rounded as this is already a simple number
Now after rounding each of the numbers involved, let's solve the mathematical operation, which in this case is multiplication.
80 x 5 = 400
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Given random variable x is normally distributed, with a mean of 10 and standard deviation of 5, what is the probability that x is less than 11?
What is the sign of the product (8)(−23)(−21)(−29)? (5 points)
Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive
Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive
Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative
Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number
What is the completely factored form of f(x)=x3+5x2+4x−6?
f(x)=(x−3)(x−(−1+i3√))(x−(−1−i3√))
f(x)=(x+3)(x−(−1+i3√))(x−(−1−i3√))
f(x)=(x+3)(x−(−1+3√))(x−(−1−3√))
f(x)=(x−3)(x−(−1+3√))(x−(−1−3√))
The factored type is the product of constants and two-dimensional terms, that is the root of a function as well as the graph's x-intercepts, and the further calculation can be defined as follows:
Given:
[tex]\bold{f(x)=x^3+5x^2+4x-6}[/tex]
To find:
factored form=?
Solution:
[tex]\bold{f(x)=x^3+5x^2+4x-6}[/tex]
putting the value x=-1,-2,-3...... to find the function value 0.
[tex]\to \bold{f(-1)=-1^3+5(-1)^2+4(-1)-6}\\\\[/tex]
[tex]\bold{=-1+5\times 1+4 \times (-1)-6}\\\\ \bold{= -1+5-4-6} \\\\ \bold{=-6}\\\\[/tex]
[tex]\to \bold{f(-2)=-2^3+5(-2)^2+4(-2)-6}[/tex]
[tex]\bold{=-8+5\times 4+4 \times(- 2)-6}\\\\\bold{= -8+20-8-6}\\\\\bold{=-2}\\\\[/tex]
[tex]\to \bold{f(-3)=-3^3+5(-3)^2+4(-3)-6}[/tex]
[tex]\bold{=-27+5\times 9+4 \times(- 3)-6}\\\\\bold{= -27+45-12-6}\\\\\bold{=0}\\\\[/tex]
Therefore, [tex]\bold{(x+3)}[/tex] is the factor of the function.
Let [tex]\bold{(x+3)}[/tex] divide by the function:
[tex]\to \bold{\frac{x^3+5x^2+4x-6}{(x+3)}= x^2+2x-2}[/tex]
compare the value [tex]\bold{x^2+2x-2}[/tex] by the standard equation [tex]\bold{ax^2+bx+c=0}[/tex] so,
[tex]\bold{a=1}\\\\\bold{b=2}\\\\\bold{c=-2}\\\\[/tex]
Putting value into the quadratic equation formula:
[tex]\bold{x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\bold{x=\frac{-(2) \pm \sqrt{(2)^2-4\times 1 \times -2}}{2\times 1}}\\\\\bold{x=\frac{-2 \pm \sqrt{4+8}}{2}}\\\\\bold{x=\frac{-2 \pm \sqrt{12}}{2}}\\\\\bold{x=\frac{-2 \pm 2\sqrt{3}}{2}}\\\\\bold{x=\frac{2(-1 \pm \sqrt{3})}{2}}\\\\\bold{x=(-1 \pm \sqrt{3})}\\\\\bold{x=(-1 + \sqrt{3}) (-1 -\sqrt{3})}\\\\[/tex]
Adding the factor value that is [tex]\bold{(x+3)}[/tex] so, the value is "[tex]\bold{(x+3)(-1+\sqrt{3})(-1-\sqrt{3}) }[/tex]"
So, the final answer is "[tex]\bold{f(x)=(x+3)(x-(-1+\sqrt{3}))(x-(-1-\sqrt{3}))}[/tex]"
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Identify two factors that have a product of 9/10.
Emilio has 9150 trees to plant in rows on his tree farm. He will plant 125 trees per row. How many full rows of trees will he have?
How do you solve the literal equation for g=6x solve for x
A stereo system cost $275. It was on sale for 15% off. The sales person receives a 2% commission. How much of a commission do they receive?
Answer:
They receive $4.68 as a commission
Step-by-step explanation:
The cost of stereo system = $275
Price after discount of 15% = 275 - (15% × 275)
= 275 - ( 0.15 × 275)
= 275 - 41.25
= $233.75
2% commission of the sales person = 2% × 233.75
= 0.02 × 233.75
= $4.675 ≈ $4.68
They receive $4.68 as a commission
Arrange the numbers in decreasing order. 76.342, 76.332, 76.232, 76.343
The numbers in decreasing order as 76.343, 76.342, 76.332, 76.232.
What is descending order?Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.
What is ascending order?Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.
we have the given numbers as
76.342, 76.332, 76.232, 76.343
Here the largest numbers to the least numbers, it is said to be in descending order.
⇒ 76.343 > 76.342 > 76.332 > 76.232
we have to determine the descending order of given numbers
Arrange the numbers in decreasing order.
⇒ 76.343, 76.342, 76.332, 76.232
Hence, the numbers in decreasing order as 76.343, 76.342, 76.332, 76.232
Learn more about the descending order here:
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Torrid had $20 to but a birthday present for her dad. She decided to buy a DVD for $18. The sales tax is 7%. Does she have enough money? Explain your reasoning.
Please Show Work Too
Find 8 x 397. Show your work and explain why the strategy you chose work best with factors.
The distance a body falls from rest varies directly as the square of the time the body is falling. If a body falls 81 ft. in 3 seconds, how far will it fall in 7 seconds?
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
y=csc (x) - 9
a.
Vertical translation up 9 units
c.
Vertical stretch by a factor of 9
b.
Horizontal translation to the right 9 units
d.
Vertical translation down 9 units
Answer:
Option D is correct .i.e., Vertical translation down 9 units
Step-by-step explanation:
Given Function is y = cosec x - 9
Here basic function or parent function is y = cosec x
1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.
2. When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.
Therefore, Option D is correct .i.e., Vertical translation down 9 units