Given:
Consider the given statement is "7 more than the quotient of a number and 9 is 2".
To find:
The value of the unknown number.
Solution:
Let be the unknown number.
Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]
7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]
It is given that, 7 more than the quotient of a number and 9 is 2.
[tex]\dfrac{x}{9}+7=2[/tex]
Multiply both sides by 9.
[tex]x+63=18[/tex]
[tex]x=18-63[/tex]
[tex]x=-45[/tex]
Therefore, the unknown number is -45.
what is the
the distance between a point at (-3,4) and a point at (2,-5)
What is the distance between a point at (-3,4) and a point at (2,-5) ?
Solution:-Let the two points be A and B .
And, let the distance be P .
Now, the distance P between the point A (-3,4) and the point B (2,-5) is
[tex] \bf P \: = \sqrt{(-3 \: - \: 2)^2 \: + \: (4 \: + \: 5)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{(-5)^2 \: + \: (9)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{25 \: + \: 81} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{106} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \: 10.3 [/tex]
The distance between a point at (-3,4) and a point at (2,-5) is 10.3 . [Answer]Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.
Marble Color Number of
Times Drawn
red 5
blue 6
green 4
purple 1
yellow 4
Based on Marcie’s experiment, what proportion of the marbles in the bag would she expect to be purple?
A.
20%
B.
5%
C.
1%
D.
10%
Answer:
B. 5%
Step-by-step explanation:
add them:
5 + 6 + 4 + 1 + 4 = 20
now use it to divide from the number of times purple is drawn = 1 so,
1/20 = 0.05 = 5%
What is the surface area of the square pyramid, in square inches (Please Help)
Answer:
220.8 in.²
Step-by-step explanation:
Area of the pyramid = area of the square + 4(area of the triangle)
Area of square = s²
s = 9.2 in.
Area of the square = 9.2² = 84.64 cm²
✔️Area of the 4 triangles = 4(½*bh)
b = 9.2 in.
h = 7.4 in.
Area = 4(½*9.2*7.4) = 136.16 in²
✅Surface area = 84.64 + 136.16 = 220.8 in.²
Andy's age is 67, which is 17 less than 12 times bills age. What is bills age?
Bill is about 49 years old.
Answer:
7
Step-by-step explanation:
67 + 17 = 84
84/12 = 7
Using the diagram, calculate the values of the unknown variables: a, b, and c.
Answer:
a = 82
b = 130
c = 118
Step-by-step explanation:
A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
a° + 98° = 180°
a° = 180° - 98°
a° = 82°
a = 82
By inscribed angle theorem:
a° = 1/2(b° + 34°)
82° * 2 = b° + 34°
164° - 34° = b°
b° = 130°
b = 130
Again by inscribed angle theorem:
76° = 1/2(c° + 34°)
76° *2 = c° + 34°
152° - 34° = c°
c° = 118°
c = 118
How many different meals can you order from a restaurant that has a menu with 8 appetizers, 3 entrees, 5 desserts, and 8 drinks? (Assume that you are getting one item from each section of the menu.)
One year, the population of a city was 143,000. Several years later it was
138,710. Find the percent decrease.
Answer:
One year, the population of a city was 143,000. Several years later it was
138,710. Find the percent decrease - 3% decrease.
The price of a necklace was increased by 10% to £121.
What was the price before the increase?
Answer:
£108.90
Step-by-step explanation:
[tex]121 \times 10\% \\ = 121 \times 0.10 \\ = 108.90[/tex]
I was unsure if my answer was incorrect please help
1.34 x 10^-2 to standard form
Answer:
1.34×10^-2 in standard form is 0.0134
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?
Answer:
She can make 19 batches of cookies.
Please help immediately !!
What is the mean for these numbers?
5,5,5,5
Answer:
IF THERE IS A LINK DON'T CLICK ON IT
Step-by-step explanation:
IT'S A COMPUTER PHONE AND TABLET VIRUS
Answer:
5
Step-by-step explanation:
Each day for the next 4 days, there is a 20% chance of a thunderstorm. Use the simulation shown, where the digits 1 and 2 represent days with a thunderstorm, to estimate the probability of a thunderstorm on at least 2 of the next 4 days. Round your answer to the nearest tenth of a percent if necessary.
Answer:
It’s 6/1
Step-by-step explanation:
The estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).
What is probability?Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur.
To estimate the probability of a thunderstorm on at least 2 of the next 4 days, we can use the simulation as follows:
The outcomes with at least 2 thunderstorms are: 112, 121, 122, 211, 212, and 221.Out of the 16 possible outcomes (each day can either have a thunderstorm or not), the number of outcomes with at least 2 thunderstorms is 6.Therefore, the estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).Thus, this is only an estimate based on the given probability of a thunderstorm each day, and the actual probability may be different.
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If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?
help its due in 1 hour !!!
Answer:
Hello its 78 I believe good luck!
- En una tienda, durante las rebajas, encontramos los siguientes carteles: “ De 150 euros a 90 euros” y “De 40 euros a 24 euros”. ¿Tienen los dos artículos el mismo porcentaje de rebaja ?
Answer:dwadwdwd
Step-by-step sadawdwdwadwdwexplanation:
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
0 (option a)
Explanation:
for a number to be divisible by 5, it has to end with the digits 0 or 5. for a number to be divisible by 3, the sum of all its digits has to be divisible by 3.
for 63215: 6 + 3 + 2 + 1 + 5 = 17 (not divisible by 3)
for 63210: 6 + 3 + 2 + 1 + 0 = 12 (divisible by 3)
thus, the missing digit is 0.
i hope this helps! :D
Find each angle measure Make sure to give all 3
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
a) 34°
b) 90°
c) 30°
thankshope it helps.Does anybody have the answer
Answer:
You're answer is right it is -2,2
Step-by-step explanation:
remember x comes before y
Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van
Answer:
C. No, this is not a good statistical question because there are not a.
Step-by-step explanation:
Because you need a big amount of people to ask for it to be a A good statistical question.Your welcome! Please mark brainliest!
(Or please correct me if I'm wrong)
3. Determine the area under the standard normal curve to the right of z = 0.55.
a.)0.2912
b.)0.7054
c.)0.7088
4.78 times 10 to the 6th power was the largest attendance record of the polar bear express. chilly football extravaganza. 3.98 times 10 to the 6th power attended at the last last pb express event. how many more people were in attendance on the record-setting day?
9514 1404 393
Answer:
8×10⁵ = 800,000
Step-by-step explanation:
The difference is ...
(4.78×10⁶) -(3.98×10⁶) = 0.80×10⁶ = 8×10⁵
8×10⁵ = 800,000 more people attended at the largest extravaganza.
_____
Your calculator (or a spreadsheet) can do the subtraction and display the number in whatever format you want.
The cost of interest of a $3,000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?
9514 1404 393
Answer:
2.79 years
Step-by-step explanation:
If we assume simple interest, the interest amount is computed from ...
I = Prt
Then the length t is ...
t = I/(Pr)
t = 1003.80/(3000×0.12) ≈ 2.788333...
The term of the loan is about 2.79 years.
what other classifications can a rhombus be
Answer:
Classification of rhombus
Step-by-step explanation:
The opposite angles of a rhombus are equal.each diagonal bisect the vertical angles.the diagonals are not equal and bisect each other perpendicularly.the triangles formed by the diagonals are congruent.the area of a rhombus=1/2d1×d2form the largest and the smallest 4 digit numbers using each of the digits 9,1,0,5 only once
Answer:
smallest: 1059
largest: 9510
A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5
what is the total surface area
Answer:
237.5
Step-by-step explanation:
2·(5·7.5+6.5·7.5+6.5·5)=237.5
Find the x-intercept of the line whose equation is 8x+2y=4.
1/2
4
2
Answer:
1/2
Step-by-step explanation:
8x+2y=4
To find x-intercept say y=0 and solve the equation.
8x+2(0)=4
8x=4
x=4/8
x=1/2
Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat
Answer:
6
Step-by-step explanation:
6 times 5 is 30. You would've divided 30 by 5
Find the area of the smaller sector round to the nearest tenth. Need help fast!!
The area of the sector is 76. 95 m
How to determine the area of a sector
Using the formula;
Area of sector of a circle = /360° (r2)
where r is the radius of the circle
is the angle of the sector
From the diagram,
= 77°
r = 10. 7m
= 3. 142
Substitute into the formula
Area of the sector = 77/ 360° * (3. 142* 10. 7 * 10. 7)
Area of the sector = 0. 2139 * 359. 72
Area of the sector = 76. 95 m
Thus, the area of the sector is 76. 95 m
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