Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.
Answers
Yes Jerome's sister is correct.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here:
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Drink mix 3 6 9 12 15
water cups 8 16 24 32 40
we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.
Hence, The complete table is shown above.
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Related Questions
Finding the Probability of Simple Events
Answers
Answer:
th chicken
Step-by-step explanation:
Melissa wants to check the accuracy of the finance charge on her loan. She has a $6,000, 4-year loan at an APR of 3.11%. What is her monthly payment? Round to the nearest cent.
Answers
Answer: $133.10.
Step-by-step explanation:
Answer:
To calculate the monthly payment for a loan, you can use the following formula:
Monthly payment = (APR/12) * loan amount / (1 - (1 + APR/12)^(-number of payments))
In this case, the loan amount is $6,000, the APR is 3.11%, and the loan is for 4 years, or 48 months. Plugging these values into the formula, we have:
Monthly payment = (0.0311/12) * $6,000 / (1 - (1 + 0.0311/12)^(-48))
Calculating, we find that the monthly payment is approximately $147.26. Rounded to the nearest cent, the monthly payment is $147.26.
Step-by-step explanation:
Don’t know just need help with answer
Answers
The length AB is 15.
What is length ?
Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.
The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.
In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.
As it is a isosceles the two sides are equal
5x = 4x + 3
x = 3
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WZ and XR are diameters of circle C. The diagram is not drawn to scale.
Circle C is shown.
Radii are drawn from point C to point R at the right, point Z at the upper right, point Y at the upper left, point X at the left, and point W at the lower left.
Angle Y C Z measures 112 degrees.
Angle X C W measures 63 degrees.
Points X, C, and R are all on the horizontal diameter of the circle.
What is the measure of convex arc upper Z upper W upper X?
A. 355º
B. 5º
C. 292º
D. 243º
Answers
The measure of convex arc upper Z is 243⁰ Option D
How to find the measure of the angle?We should be aware that a convex angle is the angles that are irregular in nature
Assume that the radius of the given circle is r.
The central angle of the lower arc ZWX = 41+180 = 221⁰
Note that then central angle of the upper arc ZWX = 360- 221⁰
This implies that the central angle of the upper arc ZWX = 360-221 = 139⁰
Recall that Lenght of arc = A/360 *2*π*r
Where A is the angle made by the radii, r= radius of the circle
Arc length of upper ZWX:
Arc length of upper ZWX = 139π/180*r
Arc length of upper ZWX = 139πr/180
The lenght is (139*22)/ 180*7
= 3058/2360
= 245⁰
In conclusion the measure of the convex upper is 245⁰
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Benjamin traveled at an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 70 miles per hour for 3.5 hours. What was the total distance in miles that Benjamin traveled during this time?
Answers
Answer:
542 miles
Step-by-step explanation:
65 miles/hour x 4.5 hours = 297 miles for the first part
70 miles/hour x 3.5 hours = 245 miles for the second part
297 + 245 = 542 miles
Which statement BEST explains why the slope of each line segment formed by the hypotenuse of each triangle is the same?
A)
The triangles are similar.
B)
The triangles are congruent.
C)
The triangles share a point.
D)
The triangles are right triangles.
Answers
Answer:
A
Step-by-step explanation:
Two triangles can be similar if their leg lengths are in proportion with each other, regardless of size. Since the triangles are the same in different sizes, they are similar. The hypotenuse of the triangles isn't the same, but the angles are the same, so the hypotenuse will still follow the same line.
How do you decide which technique to use when solving an equation?
Answers
Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
The statements that are always true regarding the diagram are:
i. m∠5 + m∠6 =180°
ii. m∠2 + m∠3 = m∠6
iii. m∠2 + m∠3 + m∠5 = 180°
Exterior and interior angles of a triangle.A triangle is a 2 dimensional plane figure which is formed by three straight lines and has three interior angles. It has both interior and exterior angles. Some examples of a triangle are; isosceles, equilateral, scalene, right angled etc.
The interior angles of a triangle are the measure of the three internal angles of the triangle, while exterior angles are external to the interior angles of the triangle.
Note that; the exterior angle of a triangle is equal to the sum of the two adjacent interior angles.
Therefore considering the given diagram, the required statements that are always true regarding the diagram are:
i. m∠5 + m∠6 =180°
ii. m∠2 + m∠3 = m∠6
iii. m∠2 + m∠3 + m∠5 = 180°
A sketch of the diagram is herewith attached to this answer for clarity.
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Can someone help me with this? It’s due today :c
Answers
2 = 120
3 = 80
4 = alternate interior angles
Can someone help me out with this my grade are bad
Answers
Answer:
(4, 3)
Step-by-step explanation:
hope this helps :)
Judy tosses a coin four times. Draw a tree diagram showing the possible outcomes. Select the probability of getting 2 heads
then 2 tails.
a. 1
5
4
16
C.
b.
1
8
d.
1
16
This is fractions
Answers
Answer:
d. 1/16
Step-by-step explanation:
Flipping the coin 4 times gives a total of 16 possible outcomes. Only one of those gives 2 heads followed by 2 tails. So the probability is 1/16.
Hope this helps!
Is ratio a Mathematical Concept????
Answers
Answer:
Yep!
Step-by-step explanation:
An office manager spent $4870 on a
total of 14 chairs and desks. Each chair
costs $125, and each desk costs $515.
How many chairs and how many desks
did he buy?
Answers
Answer:
6 chairs
8 desks
Step-by-step explanation:
First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...
125 x 14 = 1750$
We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...
515 - 125 = 390$
Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...
(4870 - 1750) / 390 = 3120 / 390 = 8 desks
And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...
14 - 8 = 6 chairs
5 mop and 7 broom cot a total of $855. 0. A mop cot $15. 00 more than a broom. Find the cot of:
a) 1 mop
b) 1 broom
pleae how working
Answers
the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.
Therefore,
a) 1 mop cost $77.50
b) 1 broom cost $62.50
What is the system of equations?
A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied in other words, the locations at which all of these equations intersect.
To find the cost of a mop and a broom, we can set up a system of equations using the information given:
Let x be the cost of a broom
Let y be the cost of a mop (which is $15 more than a broom)
From the problem, we know that:
y = x + 15 (since a mop costs $15 more than a broom)
5x + 7y = 855 (since 5 mops and 7 brooms cost a total of $855)
We can substitute the first equation into the second equation:
5x + 7(x + 15) = 855
5x + 7x + 105 = 855
12x = 750
x = 62.5
Hence, the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.
Therefore,
a) 1 mop cost $77.50
b) 1 broom cost $62.50
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Combine like terms, then simplify if need be.
4cx + cx – cx – cx + cx
Answers
Answer:
4cx
hope this helps
have a good day :)
Step-by-step explanation:
PLS ANSWER QUICK THANK YOU
Answers
Answer:
0.001
Step-by-step explanation:
i hope this helps :)
Answer: 0.001
Because the numerator and denominator both have 4 as a term, they can cancel each other out. This leaves the fraction as [tex]\frac{10^{-6} }{10^{-3} }[/tex]. When dividing terms with exponents, the exponents should be subtracted. -6-(-3)=-3. Because the term is [tex]10^{-3}[/tex], it needs to be changed into a fraction, so the exponent is positive. This would equal [tex]\frac{1}{10^{3} }[/tex]. This equals 1/1000, which is 0.001.
On the first part of a journey, a motorcyclist travels for 3 hours at an average speed of 80 km per hour. On the second part of a journey, the same motorcyclist travels for 90 minutes at an average speed of 90 km per hour. How far does the motorcyclist travel in total?
Answers
Answer:
375 km
Step-by-step explanation:
distance = speed * time
3 hours at an average speed of 80 km per hour
distance = 3 * 80 = 240 km
90 minutes at an average speed of 90 km per hour
90 min = 1.5 hours
distance = 1.5 * 90 = 135 km
Total distance = 240 + 135 = 375 km
True or False? A rectangle's area is found by adding the length of the sides and its perimeter is found by multiplying the base by the height.
Answers
Answer: The Answer is false!
Step-by-step explanation:
The area of a rectangle is found by multiplying the length by the width.
PLEASE HELP FAST !!
Animal Is a bird Can fly Ostrich Emu ✓ Canary ✓ Pig Seagull ✓ ✓ ✓ ✓ Crow Mosquito ✓ Let event A = The animal is a bird. Let event B = The animal can fly. Which outcomes are in A and B? A. {ostrich, emu, canary, seagull, crow, mosquito} B. {canary, seagull, crow} C. {canary, seagull, crow, mosquito} D. {ostrich, emu, canary, seagull, crow}
Answers
Answer:
in explanation
Step-by-step explanation:
The canary, the seagul, and the crow, All have both checkmarkes that shows that they Can fly AND they are birds (so B)
Bro this is easy you dont need Brainly for this just read it carefully and look at the graph.
Answer:
canary, seagull, crow
Step-by-step explanation:
just took the test
Find the percent of the number, 20% of 60 is?
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What is the total distance travelled?
Answers
It travels 100km in one hour then another 100km in another hour
х
x
(1) Find the value of 7x + 3y
when
= 12 and
y = -6
Answers
Answer:
66
Step-by-step explanation:
Answer:
66 is the correct answer
Step-by-step explanation:
when 7(12)+3(-6)
= 84+(-18)
66
If the figure is translated 2 units left and 4 units down what are the coordinates of L
Answers
Answer:
(2 , -2)
Step-by-step explanation:
L (4 , 2) -> (4-2 , 2-4) -> (2 , -2)
What is the nature of roots of quadratic equation x^2 =- 2x 1?
Answers
The nature of roots of quadratic equation x² = -2x + 1 is real and distinct.
The standard form of a quadratic equation is:
ax² + bx + c = 0
The discriminant is defined as:
D = b² - 4ac
Using the value of discriminant, we can determine the nature of roots of a quadratic equation.
If:
D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.
D = 0, the quadratic equation has 1 real equal roots or the roots are unique
D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.
In this case, the quadratic equation is:
x² = -2x + 1
transform it into the standard form:
x² + 2x - 1 = 0
Calculate the discriminant:
D = 2² - 4 (-1) = 8
Since D > 0, the roots are two distinct real roots.
Your question is incomplete, but most probably your question was:
What is the nature of roots of quadratic equation x² = -2x + 1?
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pleaseee solve i need in at least 5 mins
For the function
g(x)=5x−−√
gx=5x
, find
g(3), g(7), and g(11).
g3, g7, and g11.
The find the average rate of change, to the nearest hundredth, over each of the following intervals. (MAFS.912.F-IF.2.6)
A.
3≤x≤7
3≤x≤7
__________
B.
7≤x≤11
7≤x≤11
_________
Answers
hello!!!! please help me with this- i will you give brainlist :]
Answers
The completed blanks in the statement are underlined as follows
Standard form: x⁶ + 53x⁵ + 2x⁴ - 2The degree is 6 . The leading coefficient is 1This is called a polynomial because it has 4 termsHow to complete the blanks in the statementFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
2x⁴ + 53x⁵ - 2 + x⁶
The standard form
To do this, we rearrange the expression from the highest power to the least
So, we have the following representation
x⁶ + 53x⁵ + 2x⁴ - 2
The degree
This is the highest power in the expression
So, the degree is 6
The leading coefficient
This is the coefficient of the term that has highest power of x
So, the leading coefficient is 1
The name of the expression
The expression has 4 terms
So, the name is a polynomial
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How to solve thiss??
Answers
Answer:
Can I see the photo please
Step-by-step explanation:
what is the answer to 415÷23
Answers
Answer: 18
Step-by-step explanation:
Answer: 18.04347826086957
Step-by-step explanation: you could use a calculator too-
What is the slope of the line
Answers
Answer:
-3
Step-by-step explanation:
A rectangle has a length of 5x - 2 and a width of 3x. If the perimeter is 76, what is the width?
Answers
Answer:
w = 15
Step-by-step explanation:
p = 2l + 2w
76 = 2(5x - 2) + 2(3x)
76 = (10x - 4) + (6x)
Combine like terms
76 = 16x - 4
add 4 to both sides
80 = 16x
Divide both sides by 16
5 = x
x = 5
-------------------------
width
w = 3x
w = 3(5)
w = 15