We have been given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint and Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.
We can express the ratio of blue paint to green paint for both Tina as well as Tyler's favorite shades of teal as shown below.
For Tina: [tex]\frac{7}{5}[/tex]
For Tyler: [tex]\frac{5}{7}[/tex]
In order to compare the two ratios, we will have to make the denominators equal. Let us make denominators equal for both these ratios.
For Tina: [tex]\frac{7\cdot7}{5\cdot7}=\frac{49}{35}[/tex]
For Tyler: [tex]\frac{5\cdot5}{7\cdot5}=\frac{25}{35}[/tex]
Therefore, we can see that for equal amount of Green paint, Tina's favorite shade of teal contains [tex]\frac{49}{25}[/tex] times, that is almost twice the Blue paint that Tyler's favorite shade of teal contains.
Tina's favorite shade is more blue than Tyler's
Please help me on this
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10+2.5X_<40
Which best describes the number of bags of balloons she can buy?
A.She can buy from 0 to 12 bags, but no more.
B.She can buy from 0 to 20 bags, but no more.
C.She must buy 12 or more bags.
D.She must buy 20 or more bags.
Answer:
Option A is the correct choice.
Step-by-step explanation:
We have been given that Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50.
The inequality [tex]10+2.5x\leq 40[/tex] represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
Let us solve for x by subtracting 10 from both sides of our inequality.
[tex]10-10+2.5x\leq 40-10[/tex]
[tex]2.5x\leq 30[/tex]
Now we will divide both sides of our inequality by 2.5.
[tex]\frac{2.5x}{2.5}\leq \frac{30}{2.5}[/tex]
[tex]x\leq 12[/tex]
Therefore, Ling can buy from 0 to 12 bags, but no more and option A is the correct choice.
What is it defining?
Can someone help me please and thank you
Jim has a quarter and Jane has a number cube. In two or more complete sentences, explain why Jim is just as likely to get a head as Jane is to get an even number.
Jim is just as likely to get a head as Jane is to get an even number since the chance or probability of getting a head for Jim and getting a even number for Jane are equal i.e. 1/2=0.5
Step-by-step explanation:In a quarter there are just two outcomes-- Head and Tail
The probability of getting a head is: 1/2
Similarly in a number cube that has six possible outcomes i.e. {1,2,3,4,5,6}
The number of outcomes that represents a even number are: 3
(Since outcomes are: 2,4 and 6)
Hence, the probability of getting a even number is: 3/6=1/2
Hence, we see that the probability of getting a head and a even number is same.
The expression 3/4×1/2 represents a fraction of a circle that is shaded. Which diagram shows the correct shading?
Socks cost $5 per pair. The expression 5p represents the cost in dollars of p pairs of socks. Why must p be a whole number?
Answer:
Step-by-step explanation:
p must be a whole number because $5 which is the cost of socks per pair is a perfect divisor of the expression 5p.
i.e 5p/5 = p
And in the expression p represent number of pairs
Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B
Jeremy has saved $440 from his summer job. He plans to set aside $55 each week for his expenses. Several weeks later he has $110 left.How many weeks have passed?
To find out how many weeks have passed, we subtract the remaining amount from the initial amount, and then divide by the amount saved each week. In this case, 6 weeks have passed.
Explanation:To find out how many weeks have passed, we need to subtract the remaining amount from the initial amount, and then divide by the amount saved each week.
Initial amount saved = $440
Amount saved each week = $55
Remaining amount = $110
Weeks passed = (Initial amount saved - Remaining amount) / Amount saved each week
= ($440 - $110) / $55
= $330 / $55
= 6 weeks
Therefore, 6 weeks have passed.
55% of 387 is what number
6TH GRADE MATH
someone please solve this
Define oblique prism.
An oblique prism can be thought of as a leaning prism where the altitude or height of the prism is not the same as the lateral edge of the prims.
David and Ryan go to the movie theater and purchase refreshments for their friends. David spends a total of $24.75 on 3 bags of popcorn and 5 drinks. Ryan spends a total of $33.00 on 9 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Final answer:
To find the price of one drink, we create a system of equations based on the purchases at the movie theater and solve it using the elimination method. The calculated price of one drink is $3.75, to the nearest cent.
Explanation:
David and Ryan's purchases at the movie theater can be represented by the following system of equations to find the price of one bag of popcorn (p) and one drink (d):
3p + 5d = 24.75
9p + 4d = 33.00
We'll solve this system using the substitution or elimination method. For this example, we will use the elimination method.
Multiply the first equation by 9 and the second by 3 to equalize the coefficients for p:
(3p + 5d) × 9 → 27p + 45d = 222.75
(9p + 4d) × 3 → 27p + 12d = 99.00
Subtract the second equation from the first:
27p + 45d - (27p + 12d) = 222.75 - 99.00
33d = 123.75
Divide by 33 to find the price of one drink:
d = 123.75 / 33
d = 3.75
So, the price of one drink is $3.75, to the nearest cent.
the sales tax on a $350 computer is $22.75 find the sales tax
Simplify the expression 53 + 3(5 − 3). 137 131 27 21
Answer:
Its 131, I did the test, and got it right.
Explanation:
Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation of a common external tangent to the circles can be written in the form y=mx+b with m < 0. What is b?
It took Jen, who biked at a speed of 12 mph, 20 minutes to get home. What is Jim’s speed, if it took him only 15 minutes to bike that distance?
Answer:
16 mph
Step-by-step explanation:
Gracie read 150 pages of a book she got for her birthday the book is 227 pages long whats the right equation
The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x; b = 10x
c.
h = 10.3x, b = 20.6x
b.
h = 13.3x; b = 26.6x
d.
h = 5x; b = 25x
The kinetic energy K (in joules) of a falling apple is represented by K=v squared divided by 2 where v is the speed of the apple (in meters per second). How fast is the apple traveling when the kinetic energy is 32 joules?
Answer:
8 meters per second
Step-by-step explanation:
Hi, to answer this question we simply have to substitute k=32 in the formula given and solve for v.
K= (v ^ 2) /2
Substituting K=32
32 = (v ^ 2) /2
Solving for v:
32x2= v ^ 2
64 =v ^ 2
√64 =v
8 =v
v= 8 meters per second
When the kinetic energy is 32 joules, the apple is traveling at a speed of 8 m/s.
Feel free to ask for more if needed or if you did not understand something.
PLEASE HELP ASAP!!! ON TIME LIMIT!!!
The figure below shows a shaded rectangle inside a large rectangle:
https://learn.flvs.net/webdav/assessment_images/educator_mjmath2_v14/06_14_p1_27.jpg
If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%
What’s the surface area
Need help with 8 plz help me thx
What do I put? I am having so much trouble with this.
What is the effect if two parallel lines are rotated 90° clockwise? A)change'direction but remain parallel
B) change direction but are now perpendicular
C) no longer parallel because one line changed direction
D)no longer parallel because two lines changed direction (NEED HELP)
Option: A is the correct answer.
A) change direction but remain parallel.
Step-by-step explanation:We know that when same rigid transformation is applied to two lines which are parallel to each other ,then after rigid transformation they will behave the same i.e. same relationship hold between the two the only difference will be in their location.
Hence, when the both the parallel lines are rotated 90° clockwise then the direction of the line will change but they will remain parallel.is the following growth or decay? f(x)= 3(0.4)^x
The base of a parallelogram is 10 inches the height is 2 inches more than half the base find the area
Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).
So height is h = 2 + (10 ÷ 2) = 2 + 5
⇒ h = 7 inches.
We know the formula for area of parallelogram is given as follows :-
Area of parallelogram = base x height
Area of parallelogram = 10 inches x 7 inches
Area of parallelogram = 70 squared inches.
Hence, the final answer is 70 squared inches.
Final answer:
To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.
Explanation:
To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.
Using the formula for the area of a parallelogram (base × height), we can now calculate the area.
Area = 10 inches × 7 inches = 70 square inches.
Thus, the area of the parallelogram is 70 square inches.
A spider ate 25% more bugs this month than last month. The spider ate 8 bugs last month. How many bugs did the spider eat this month
Answer: 10 bugs.
Step-by-step explanation:
Order
please least to greatest
in the right triangle what is the value of pq
In this Pythagorean theorem question, The value of pq in the right triangle is 8 cm. Therefore, the correct answer is option C.
The given triangle is a right triangle, with two sides measuring 17 cm and 15 cm. The side opposite the right angle (perpendicular) is represented by the variable pq.
To find the value of pq, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. So, applying the Pythagorean theorem:
a2 + b2 = c2
(15 cm)2 + pq2 = (17 cm)2
225 cm2 + pq2 = 289 cm2
pq2 = 289 cm2 - 225 cm2
pq2 = 64
pq = √64
pq = 8 cm
Learn more about Pythagorean theorem here:
https://brainly.com/question/28361847
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