Step-by-step explanation:
y = kx, where k is a real constant.
When x = 12, y = 60.
=> (60) = (12)k, k = 5.
Therefore when x = 20,
y = kx = (5)(20) = 100.
3*10^-1/2*10^2 standard form
The mean temperature for the first 7 days in January was 5 °C. The temperature on the 8th day was 8 °C. What is the mean temperature for the first 8 days in January
Answer:
The mean temperature for the first 8 days in January is 5.375 °C
Step-by-step explanation:
The means = The sum ÷ The number
∵ The mean temperature for the first 7 days in January was 5 °C
∴ The mean = 5
∴ The number = 7
→ Substitute them in the rule above
∵ 5 = The sum ÷ 7
→ Multiply both sides by 7
∴ 35 = The sum
∴ The sum of the temperature for the first 7 days is 35 °C
∵ The temperature on the 8th day was 8 °C
→ Add it to the sum of the first 7 days to find the sum of the first 8 days
∴ The sum of the first 8 days = 35 + 8
∴ The sum of the first 8 days = 43 °C
∵ The number of days = 8
→ Substitute them in the rule above to find the mean
∴ The mean = 43 ÷ 8
∴ The mean = 5.375 °C
∴ The mean temperature for the first 8 days in January is 5.375 °C
PLS HELP!! answer the pic below
Lins father is paying $20 for a meal. He has 15%-off coupon for the meal. After the discount, 7% sales tax is applied, How much does Lins father pay for the meal?
Answer: $18.19
Step-by-step explanation:
The tax is applied after the discount so first find the discounted price:
= Price * ( 1 - discount rate)
= 20 * ( 1 - 15%)
= $17
The sales tax of 7% can then be applied:
= Price * ( 1 + tax rate)
= 17 * ( 1 + 7%)
= $18.19
y = x + 2
-3x + 3y = 6
Please help due in 10 minutes!?!
Answer:
Step-by-step explanation:
4. D. 4
5. D. 10a + 10
6. 11 and 71
7. 27.5 and 39.25
Pls help, I need it fast
3. Peter can paint a room for 8 hours and Karen
can paint the same room in 5 hours. How many
hours will it take for both of them to paint the same
room
Answer:
3 1/13 hours
Step-by-step explanation:
hope it helps
Reina and Sam are multiplying (84)5 (73)9.
Reina's Work Sam's Work
(84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 820727
Is either of them correct? Explain your reasoning.
Answer: So Reina and Sam are multiplying (84)5 (73)9 and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's (84)5 (73)9 = 84-573-9 = 820727
So Sam's Actually they are doing or multiplying using exponents. Reina's work (8*)s(7³)º=8*+5+ 73+9= 8° 712 This is incorrect because she added exponents instead of multiplying exponents Sams work (8*)5 (7³)º=84x5 73x9= 820 727 This is correct because Sam multiplied exponents correctly Exponents are multiplied not added.
Step-by-step explanation: Have a blessed day and hope this helps.
My reasoning is in there. I calculated I hope that is helps a lot. god bless you
Annabelle read 10 books in 2 months. What was her rate of reading, in books per month?
Answer:
She reads 5 books per month! :)
Step-by-step explanation:
10 divided by 2 is 5
Hope you do Great!!
It cost sean 3.75 to play 45 songs on an old jukebox. The jukebox only accepts quarters. How many songs can the jukebox play per quarter
Answer: hi want to be fwends
Step-by-step explanation:
There can 3 songs to be played for per quarter.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
Given that, It cost Sean 3.75 to play 45 songs on an old jukebox. The jukebox only accepts quarters.
Converting $3.75 into quarters, ($1 = 4 quarters)
$3.75 = 3+0.75
= 3x4+0.75
= 12+3
= 15 quarters
So, he played 45 songs in 15 quarters
Therefore, in 1 quarters = 45/15
= 3
Hence, There can 3 songs to be played for per quarter.
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Pls help I need an answer quick!
Answer:
[tex]\displaystyle 9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle 8 + (7 + 1)^2 \div 4 \cdot (\frac{1}{2})^4[/tex]
Step 2: Evaluate
(Parenthesis) Add: [tex]\displaystyle 8 + (8)^2 \div 4 \cdot (\frac{1}{2})^4[/tex]Exponents: [tex]\displaystyle 8 + 64 \div 4 \cdot \frac{1}{16}[/tex]Divide: [tex]\displaystyle 8 + 16 \cdot \frac{1}{16}[/tex]Multiply: [tex]\displaystyle 8 + 1[/tex]Add: [tex]\displaystyle 9[/tex]A radio tower is located 275 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 37 and that the angle of depression to the bottom of the tower is 35 . How tall is the tower?
Answer:
399.8 feet
Step-by-step explanation:
Since the angle of elevation of the top of the tower from the building is Ф = 37°, and the distance between the tower and the building is x = 275 feet. Let the upper part of the tower be h. These three components from a right-angled triangle with opposite side = h and adjacent side = x. So, by trigonometric ratios,
tanФ = h/x
h = xtanФ
= 275 feet × tan37°
= 275 feet × 0.7536
= 207.23 feet
Also, the angle of depression of the bottom of the tower from the building is Ф' = 35°, and the distance between the tower and the building is x = 275 feet. Let the lower part of the tower be h'. These three components from a right-angled triangle with opposite side = h' and adjacent side = x. So, by trigonometric ratios,
tanФ' = h'/x
h' = xtanФ'
= 275 feet × tan35°
= 275 feet × 0.7002
= 192.56 feet
So, the height of the tower, H = h + h'
= 207.23 feet + 192.56 feet
= 399.79 feet
≅ 399.8 feet
Alyssa plans to spend AT MOST $230.00 on a new wardrobe. The skirts x
she wants to buy cost $15 each, and the shirts y cost $10 each. Write an
inequality that represents the number of skirts and shirts Alyssa can buy. *
Step-by-step explanation:
Given
Total spending =$230
The cost of the skirt is $15
The Cost of the shirt is $10
Suppose she buys x skirts and y shirts
So, sum of the spending on skirts and shirts must be less than or equal to the $230
[tex]15x+10y\leq230[/tex]
Two angles of a triangle add up to 65°. What is the measure of the third angle? 115° 295° 25° 55°
Answer:
115 degrees
Step-by-step explanation:
The third angle will measure 115° so option (A) will be correct.
What is a triangle?The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Sum of all three internal angles of the triangle = 180°
Sum of two angles + third angle = 180°
Given that,
Two angles of a triangle add up to 65° so
65° + third angle = 180°
Third angle = 180 - 65°
Third angle = 112°
Hence the third angle will be 112° measure.
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click on the picture see see the full question but someone please help me with this
Draw a diagram to show the solution for 3/4 divied by
5/8.
Answer:
dhjshsjshshhshsgsgsgsggdd
Increase £2193.67 by 18.5%
Give your answer rounded to 2 DP
Answer:
Step-by-step explanation:
2193.67
10%=219.367
5%=109.6835
1%=21.9367
21.9367 +21.9367 +21.9367 +109.6835 +219.367=394.8606
394.87 rounded to 2dp
whats the factor monimial of 14n⁴ please help
Answer:
Its gonna equal itself which is 14n^4
Step-by-step explanation:
14n4
=14*n4
=14*(n*n*n*n)
=14n4
Which ordered pair is a solution to the system of inequalities shown on the graph?
A)
(3, 3)
B)
(5,2)
C)
(-2,1)
D)
(1,-2)
Answer:
5,2
Step-by-step explanation:
Here, we want to find the point that is a solution to the system of inequalities
From what we have, the points that lie in the dark brown patch represent the solution to the system
Hence the coordinates lying in these parts are the solution to the system
An example of such coordinates is the point (5,2)
What is the simplified form of 4+ 7X-5X -6
Answer:
-2+2x
Step-by-step explanation:
an equivalent expression
5(x+10)+x
Answer:
6x+50 is the answer if u simplify it
Step-by-step explanation:
Answer:
6x+50
Step-by-step explanation:
Distribute the 5 and add
5x+50+x=6x+50
please help please i dont get it
May someone help me with this question it says: Sam's tent has slanted sides that each 5 feet long with the bottom 6 feet across. What is the height of his tent at it's tallest point? A.3.0ft B.3.5ft C.4.0ft D.5.0ft
Answer:
C) 4.0 ft
Step-by-step explanation:
We will use the Pythagorean theorem to solve this. It states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,
a²+b² = c²
The height splits the base in two, giving us a leg of 3. The hypotenuse is 5. This gives us:
3²+b² = 5²
9+b² = 25
Subtract 9 from each side:
9+b²-9 = 25-9
b² = 16
Take the square root of each side:
√b² = √16 = 4
plzzz answer A,B,C I give u branily points
Answer:
B
Step-by-step explanation:
Answer:
its B I TOOK TEST
Step-by-step explanation:
A goose started on the ground and
rose 22 feet in the air. The goose
descended 6 feet and then rose
another 9 feet. What was the goose's
altitude after the last 9-foot ascent?
Answer:
25
Step-by-step explanation:
22-6=16
16+9+25
List the integers that satisfy both of these inequalities 2x+9<0 x>-12 put the answers on one line
Answer:
-11, -10, -9, -8, -7, -6 and -5
Step-by-step explanation:
Given the inequality expressions
2x+9<0 and x>-12
2x+9<0
2x< 0-9
2x < -9
x < -9/2
x < -4.5
Since x >-12
-12 < x
Combining both inequalities
-12 <x < 4.5
The integers between the intervals are -11, -10, -9, -8, -7, -6 and -5
WILL MARK BRAINLIEST PLZ HURRY
plz match it for me
Answer:
Step-by-step explanation:
Write your answer in the form of (Yes or No because it has ___ ml more or less) *
Lyn wants to buy cleaning liquid for the flat.
She can choose 1 large bottle or 2 small bottles.
Large bottle 1 litre
Small bottle 479ml
Small bottle 479ml
Answer:
yes
Step-by-step explanation:
yes because the large bottle has 42ml more than the small bottle
I dont get how you solve these i need some help
Answer:
3rd one y=2x
Step-by-step explanation:
because they are saying how many minutes can you read 2 pages so it would be 2 times x and x is the 4 minutes
If you can buy one can of pineapple chunks for $2, then how many can you buy with $10?
Answer:
5 cans
Step-by-step explanation:
if each can is 2 dollars then you can divide that amongst 10 dollars to find that you can buy 5 cans
The number of cans you can buy for $2 is 5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that You can buy one can of pineapple chunks for $2
We need to Find out how many can you buy with $10
Let x be the number of cans
Using proportion;
1/2 = x/10
x = 10/2
x =5
Hence, the answer is 5 cans.
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