Answer:
For E, each angle is 60° because its an equilateral triangle.
F is 45° for x, 135° for y, lastly z is 22.5°
Kerry has a collection of 1,100 baseball cards. Of these baseball cards, 40% are dated before 1970, 25% are dated from 1970 to 2000, and the rest are dated after 2000. How many baseball cards in Kerry’s collection are dated after 2000?
Answer:
385 cards
Step-by-step explanation:
First, find 40% and 25% of 1100.
2/5 * 1100
2200/5 = 440 cards dated before 1970
1/4 * 1100
1100/4 = 275 cards dated between 1970 and 2000
Then add the two amounts together.
440 + 275 = 715 cards between pre-1970 and 2000
After that, subtract your new sum from 1100.
1100 - 715 = 385 cards after 2000
(Or to make it easier, just find 35% of 1100.)
Complete a paragraph proof for: Given: -4k + 2(5k - 6) = 3k - 36 Prove: k=-8. can someone please help me
The value of k is proved to be -8
How to prove that the value of k is -8?The equation is given as
-4k + 2(5k - 6) = 3k - 36
Open the bracket in the above equation
So, we have
-4k + 10k - 12 = 3k - 36
Collect the like terms in the above equation
So, we have
-4k + 10k - 3k = 12 - 36
Evaluate the like terms in the above equation
So, we have
3k = -24
Divide both sides of the above equation by 3
So, we have
k = -8
Hence, the value of k is proved to be -8
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A map has a scale of 2.4 centimeters equals to 500 miles if two cities are 10 centimeters apart from the map how many miles apart are they in real life
Answer:
hi
Step-by-step explanation:
hi
Help me please,I really need help lol
The interval notation for the solution to the given inequality is:
(6,∞).
What is the solution to the inequality?The inequality is solved similarly to an equality, applying the operations to isolate the variable.
For this problem, the inequality is given by:
3(3a - 6) > 12.
Dividing both sides by 3:
3a - 6 > 12.
Then:
3a > 18
a > 18/3
a > 6.
In interval notation, the solution is:
(6,∞).
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what single decimal multiplier would you use to decrease 1% followed by a 3% decrease?
PLZ ANSWER. UR THE BEST IF U DO. I’LL GIVE BRAINLIEST
You basically can solve for hypothetical sides of this triangle using sohcahtoa backwards. In the first column, it says that adjacent/hypotenuse = .97. We can come up with two values that satisfy this equation. For example, the adjacent side can be .97 and the hypotenuse can be 1. These values don't matter as long as adjacent/hypotenuse is .97.
The second column tells us that opposite/hypotenuse = .26. At this point, we already have a hypothetical hypotenuse with a length of 1, so we can plug that in and find that the opposite side of C is .26.
Now that we have a hypothetical triangle with sides .97, .26, and 1, you can use these values as well as sohcahtoa to solve for the rest with respect to angle A. Keep in mind that the line AB is .26 and that the line BC is .97.
Mulitiply. What is the product (3*10^(9))*(2*10^(17)) in scientific notation
Answer:
6*(10^26)
Step-by-step explanation:
Please mark as brainliest
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
5 cm
cubic centimeters
Answer:
523.33 cm³
Step-by-step explanation:
The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³
[tex]\frac{4}{3}[/tex]π * (5)³
[tex]\frac{4}{3}[/tex]π * 125
523.333 mm³
A seagull is 12 feet above the surface of the ocean. A fish is 3 feet below the surface of the water. How far apart are the seagull and the fish?
Answer:
15
Step-by-step explanation:
12+3=15
Another way to write -8 + ( -4 ) =
Answer:
there are many ways you can write it
1) -8-4
2) -4-8
3)-2^2-2root2
4)2root2-2^2
Answer:
-(8 + 4) or -8 - 4 or -12
Step-by-step explanation:
If you are looking for the answer to the problem, it's negative 12. But if you are looking for other wayst to write it, the forst two answers are correct.
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grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. which equation can he use to find n, the number of gallons of water he should remove? 3.52 (22 minus n)
The correct option is C. 3.52/(22 - n) = 24/100.
The equation which can be used to find n, the number of gallons of water he should remove is 3.52/(22 - n) = 24/100.
What is mathematical expression?Mathematical symbols can represent numbers (constants), variables, functions, operations, brackets, punctuation, and grouping, as well as the order of operations and other features of logical syntax.
Monomial expressions are the most common type of algebraic expression. Expression of a binomial. Expression of a polynomial are two other types of expressions.Now, as per the given question.
22 gallons of water is evaporated from the grant plans which is 16% ammonia solution to make a 24% ammonia solution.
First, we determine how much ammonia is in 22 gallons of 16% ammonia solution.
16% x 22 gal = 3.52 gal
That after water evaporates, the quantity of ammonia remains constant, however the total quantity of solution is diminished by the quantity of water that evaporates.
Amount of ammonia: 3.52 gal
Amount of water that sustained: 22 - n
Requires concentration of ammonia is 24% = 24/100
The measurement will be formatted as follows:
(3.52)/(22 - n) = 24/100
Therefore, the equation which is used for the formation of the number of gallons of water he should remove ammonia is (3.52)/(22 - n) = 24/100.
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The complete question is -
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. which equation can he use to find n, the number of gallons of water he should remove?
The options are-
A. 3.52(22 - n) = 0.24
B. (22 - n)/3.52 = 24/100
C. 3.52/(22 - n) = 24/100
D. 3.52 + (22 - n) = 0.24
How many boxes of tissue can you buy with $21 if one box costs $7?
Answer: 3 boxes
Step-by-step explanation: Divide 21 and 7.
half of a number, decreased by 10 is -13. in equation form pls
i will give first and best brainliest
Answer:
[tex]\dfrac{1}{2}x-10=-13[/tex]
Step-by-step explanation:
Let x be the unknown number.
Given:
Half of a number → ¹/₂xDecreased by 10 → -10Is -13 → = -13Therefore, the equation is:
[tex]\boxed{\dfrac{1}{2}x-10=-13}[/tex]
Solving for x
To solve, add 10 to both sides:
[tex]\implies \dfrac{1}{2}x-10+10=-13+10[/tex]
[tex]\implies \dfrac{1}{2}x=-3[/tex]
Multiply both sides by 2:
[tex]\implies 2 \cdot \dfrac{1}{2}x=2 \cdot -3[/tex]
[tex]\implies x=-6[/tex]
Equation :-
→ (1/2)x - 10 = -13
Solution :-
→ x = -6
Step-by-step explanation:
The equation will be,
→ (1/2)x - 10 = -13
Now the required value of x will be,
→ (1/2)x - 10 = -13
→ (1/2)x = -13 + 10
→ x = -3 × 2
→ [ x = -6 ]
Hence, the value of x is -6.
I'm pretty sure its 60 but I want to be sure
Answer:
$75
Step-by-step explanation:
15 x 4 = 60
50 + 15 = 75
Are these two problems proportional or non-proportional? Why or why not? Explain your reasoning below.
y=3/4x
y=1/2x-6
Given:
[tex]y=\dfrac{3}{4}x[/tex]
[tex]y=\dfrac{1}{2}x-6[/tex]
To find:
Whether the above functions are proportional or non-proportional?
Solution:
If y is proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
The proportional relationships are in the form of [tex]y=kx[/tex] and they passes through (0,0).
Putting x=0 and y=0 in the given equations.
[tex]y=\dfrac{3}{4}x[/tex]
[tex]0=\dfrac{3}{4}(0)[/tex]
[tex]0=0[/tex]
It is a true statement.
[tex]y=\dfrac{1}{2}x-6[/tex]
[tex]0=\dfrac{1}{2}(0)-6[/tex]
[tex]0=0-6[/tex]
[tex]0=-6[/tex]
It is a false statement.
Therefore, [tex]y=\dfrac{3}{4}x[/tex] is proportional and [tex]y=\dfrac{1}{2}x-6[/tex] is non-proportional.
HELP PLS!!!!!
Jason, Mario, April, and Tiffany each set a goal to run 20 miles a week. This table shows how much of each runner's goal has been met.
Which list shows the numbers in the table in order from least to greatest?
35, 0.35, 58, 58%
0.35, 35, 58, 58%
0.35, 58%, 35, 58
35, 0.35, 58%, 58
Answer:
0.35, 58%, 35, 58
Step-by-step explanation:
58% = .58
I promise I will mark you brainlist as soon as I see your answers if you help me with this!
Answer:
E. 10 feet
F. RS
Step-by-step explanation:
E. Height of actual tree = [tex]\frac{2.5}{1.5}[/tex] × 6 inches
= 10 feet
F. CD is like ST but bigger.
DA is like TQ but bigger.
AB is like QR but bigger.
BC is like RS but bigger.
Their proportion stays the same.
Answer:
BC=SR
Step-by-step explanation:
BC and SR both have the same length in their sides. Therefore SR is the "?".
I didn't fully understand the question, but its alright.
What is 0. 36 written as a rational number?
helppppppp
Find the value of X
Answer:
i got 0 for the value of x
Step-by-step explanation:
An inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire area of the pool including the walkway is 924 ft2, find the width of the walkway.
Answer:
Width of walkway = 3.71625 feet
Step-by-step explanation:
Let the width of the walkway be w. Then the length of entire area of the pool including the walkway is 32 + 2w and the breadth of the entire walkway is 16 + 2w since there is a width of w on both sides of length and breadth
Total Area of pool with pathway
(16+ 2w)(32+2w) = 924
Using the FOIL method we can expand the term on the left as follows:
= [tex]\sf 16\cdot \:32+16\cdot \:2w+2w\cdot \:32+2w\cdot \:2w[/tex]
= [tex]\sf 512+96w+4w^2[/tex]
Rearrange terms to get
[tex]\sf 4w^2 + 96w + 512[/tex]
So we get
[tex]\sf 4w^2 + 96w + 512 = 924[/tex]
Subtract 924 from both sides
[tex]\sf 4w^2 + 96w + 512 - 924 = 0[/tex]
==> [tex]\sf 4w^2 + 96w -412 = 0[/tex]
This is a quadratic equation of the form [tex]\sf ax^2 + bx + c[/tex] whose roots(solutions) are
[tex]\displaystyle \sf x_{1,\:2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here a = 4, b = 96 and c = -412
Plugging in these values we get
[tex]\sf w_{1,\:2}=\dfrac{-96\pm \sqrt{96^2-4\cdot \:4\left(-412\right)}}{2\cdot \:4}[/tex]
[tex]\sf \sqrt{96^2-4\cdot \:4\left(-412\right)}\\\\ = \sqrt{96^2+4\cdot \:4\cdot \:412} \\\\= \sqrt{96^2+6592} \\\\= \sqrt{9216+6592} \\\\= \sqrt{15808} = 125.73\\\\[/tex]
So
[tex]w_{1,\:2}=\dfrac{-96\pm \:125.73}{2\cdot \:4}[/tex]
[tex]w_1=\dfrac{-96+125.73}{2\cdot \:4},\:w_2=\dfrac{-96-125.73}{2\cdot \:4}[/tex]
We can ignore w₂ since it is a negative value
So
[tex]\sf w = \dfrac{-96 + 125.73}{8} = 3.71625\; feet[/tex]
[tex]\boxed{ \mathsf{Width\; of\; walkway = 3.71625\;feet}}[/tex]
IF I HANG 2 DOGS AND I HAVE 5 HOW MANY DOGS WOOD I HAVE LEFT??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????WELP ME
Answer:
500,000,000,000,000,000,000
Step-by-step explanation:
At 7:00 pm, the temperature was -7 °F. The next morning the temperature had raised
to 42 °F. How many degrees F. did the temperature change?
Answer:
49 degrees
Step-by-step explanation
Answer:
I think 49 °F
Step-by-step explanation:
42 - (-7) = 49 °F
So the temperature raised 49 degrees since 7pm last night.
I think thats right. :)
Please help fast! Comment only if you know it’s multiple-choice QUESTION 13 ILL GIVE EXTRA POINTS
Answer:
B m pretty sure...
Step-by-step explanation:
What is tan 45º?
15
1
90
45°
Answer:
its 1
Step-by-step explanation:
1/1=1
- 51/5
is this rational or irrational?
Answer:
irrational
Step-by-step explanation:
Answer:
I think irrational but I can be wrong
will give brainliest
Answer:
4/3
Step-by-step explanation:
Kato must write 60 percent of a 20-page report by tomorrow. Kato wants to determine the number of pages that he needs to write by tomorrow. Kato's work is shown below. Step 1: Write 60 percent as a ratio. StartFraction part Over whole EndFraction = StartFraction 60 Over 100 EndFraction Step 2: Write an equivalent ratio that has the answer in the numerator and 20 in the denominator. Step 3: 100 divided by 20 = 5 Step 4: 60(5) = 180 What mistake did Kato make?
Answer:
Kato must have read 12 pages of the 20 paged report tomorrow
Step-by-step explanation:
From the question we are shown how Kato solved her question.
The mistake did Kato made is shown below.
Kato should have solve her question this way:
Step 1
Step 1: Write 60 percent as a ratio.
= 60/100
Step. 2
We M
Multiply the ratio above by the total number of pages she must write tomorrow
= 60/100 × 20
= 12 pages
Hence: Kato must have read 12 pages of the 20 paged report tomorrow
Answer:
step 2
Step-by-step explanation:
If the cost of half a ton of cement is $185, what is the cost per pound.
Answer:
$0.185
Step-by-step explanation:
since there are 2000 pounds in a ton, this isn't really possible. But the number is correct.
When 9/10 is divided by 2/5 , will the quotient be greater than 1 or less than 1.
Answer:
well the answer is 45/20 it would be greater than
Step-by-step explanation:
Need help ASAP pls!!
Answer:
Rotate Each dot in the proper way each right angle is 90 Degrees
Step-by-step explanation:
Rotate the Coordinates
pretty simple