Answer:
Sally is 63
Step-by-step explanation:
Represent Sally's age by x and Sam's by y.
Then x = 3y and x + y = 84.
Substituting 3y for x in the second equation, we get:
3y + y = 84, or 4y = 84, or y = 21. Since Sally is 3 times as old as Sam, we multiply 21 by 3: Sally's age is 3(21 years) = 63 years
How is this one done?
help me please i don't know what i'm doing please help
-9
9
Answer: -1/9
Step by step explanation:
The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:
1 8/9 - 2, which is equal to -1/9.
You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:
1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9
A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write an equation for Package A and an equation for Package B that represent the total number of sodas, g, in p packages.
Answer:
[tex]g = 18p[/tex] --- A
[tex]g = 10p[/tex] ---- B
Step-by-step explanation:
Given
[tex]Package\ A: 18\ soda[/tex]
[tex]Package\ B: 10\ soda[/tex]
Required
The equation of both packages
The given details represent the number of sodas in each package.
So, the equation of A is:
[tex]g = 18p[/tex]
And the equation of B is:
[tex]g = 10p[/tex]
Find the missing dimension of the prism. Round your answer to the nearest hundredth.
Volume = 72.66 in.?
Х
2 in.
Answer:
[tex]x = 6.99in[/tex]
Step-by-step explanation:
Given
[tex]l =2in[/tex]
[tex]Volume = 72.66in^3[/tex]
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]
This gives:
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]
[tex]Base\ Area= 3\sqrt 3 * 2[/tex]
[tex]Base\ Area= 6\sqrt 3[/tex]
Side x represents the height.
So, we have:
[tex]Volume = Base\ Area*x[/tex]
Make x the subject
[tex]x = \frac{Volume }{ Base\ Area}[/tex]
[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]
[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]
[tex]x = \frac{12.11}{\sqrt 3}in[/tex]
[tex]x = 6.99in[/tex] --- approximated
CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH
Experimental probability of the name Alex being drawn is 4/10
This is because out of the ten times a name was drawn, Alex was drawn four times.
If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.
This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.
365.12x =36,512 please help
Answer:
x = 100
Step-by-step explanation:
365.12 x = 36512
36512 / 365.12 = x
x = 100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
20 divided by 34 HEEEEELPPPPPPPPPPP
Answer:
0.58823529411
Answer:0.8
Step-by-step explanation:
The price of a mobile phone was £980.
In a sale the price is reduced by 25%.
On the final day the sale price is reduced by a further 8%.
How much is saved in total by buying the mobile phone on the final day
of the sale?
Answer:
Amount saved = £ 303.80
Step-by-step explanation:
Original Price = £980
After 25% discount :
[tex]980 - (25 \% \times 980) = \£ 735[/tex]
On the final day further discount of 8%.
That is ,
[tex]735 - (8 \% \times 735) = \£ 676.20[/tex]
Total savings if buying on the final day of sale = 980 - 676.20 =£303.80
For two positive real numbers a and b, which may be equal, determine the smallest possible value of a/b + b/a
What is the total SURFACE AREA of a cylinder with a radius of 5 cm and a height of 7 cm?
Answer:
SA=376.9911184cm^2
Step-by-step explanation:
SA=2πrh+2πr^2
376.9911184cm^2=(2*π*5*7)+(2*π*5^2)
A community gym charges a $50 fee membership and a $50 monthly fee. Workout gym charges a $170 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Answer:
12 months
Step-by-step explanation:
community gym = 50 + 50x
workout gym = 170 + 40x
you need to find out how many months it will take for them to be equal, so:
50+50x = 170+40x
solve for x
10x = 120
x = 12
after 12 months, they will cost the same
Can someone help? It's super urgent I need it solved!
Answer:
Y = +- √ x - 5
Step-by-step explanation:
1. write f (x) = x^2 +5 as an equation (y = x^2 + 5)
2. interchange the varibles (x = y^2 + 5)
3. Solve for Y
A messenger has 6 pouches and 30 coins. The total must be less than 102 coins
How would you write this inequality? What are some solutions?
Answer:
6x+30<102
0 ≤ x ≤ 12 gives all possible solutions for this problem.
Answer:
Your total would be 180 so with the extra you could donate or something like that
Step-by-step explanation:
I hope this helped:)
Finding the volume of the cone
Answer:
[tex]\frac{686\pi }{3}[/tex] or 718.3775
Step-by-step explanation:
Formula:
[tex]\pi r^2\frac{h}{3}[/tex]
we have
[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]
Using the following equation, find the center and radius:
x2 −2x + y2 − 6y = 26 (5 points)
Question 13 options:
1)
The center is located at (−1, −3), and the radius is 36.
2)
The center is located at (1, 3), and the radius is 36.
3)
The center is located at (−1, − 3), and the radius is 6.
4)
The center is located at (1, 3), and the radius is 6.
(NO LINKS OR ABSURD ANSWERS)
Answer: 4) The center is located at (1, 3), and the radius is 6
Step-by-step explanation:
Solve the general equation of the circle.
x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2
Hence, the coordinates of the center (1,3) And the radius will be 6
The center is located at (1,3) and the radius is 6.
What is center of the circle?"The center is the point from which all of the points on the circle are the same distance."
What is radius of the circle?"The radius is the exact distance from the center to any point on the circle."
We have
[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]
Add 1 and 9 on both sides of equation
⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]
⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]
⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)
We know the Standard form of equation of the circle
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
By comparing the standard form and equation (1)
Center (h, k) = (1, 3) and radius is 6
Hence, The center is located at (1,3) and the radius is 6.
Learn more about circle here
https://brainly.com/question/13658927
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How do you solve this equation ? 25 − 3 x = 40
Answer:
x = -5
Step-by-step explanation:
25 - 3x = 40
3x = -15
x = - 5
Answer:
x = -5
Step-by-step explanation:
25 − 3x = 40
-3x = 15
x = -5
A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.
Answer:
258.3 sq inches
Step-by-step explanation:
Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²
The diameter is 9.07 inches, so the radius is 4.535 inches.
Plug in 3.14 as pi and 4.535 as r, and solve:
SA = 4[tex]\pi[/tex]r²
SA = 4(3.14)(4.535)²
SA = 258.3
So, the surface area is approximately 258.3 sq inches
Method included please. Please someone answer ASAP
2. R10 000 is invested for two years at 8% per year compounded quarterly
a) Calculate the value of the investment after two years.
b) Determine the Interest earned by the investment.
A_____ function is a function that can be expressed as the quotient of two polynomial functions in wich the denominator does not equal zero. A.rational B.division C.relationship D.polynomial
Answer:
rational
Step-by-step explanation:
that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.
PLEASE HELP ME PLEASEEEEEEEEE HELP
Answer:
Step-by-step explanation:
x^2+4x+3
we need to factorise this
So (x+1)(x+3)
X=-1 x=-3
Hope that helps.
I will give anyone who can give me the right answer to the Brainist! I really need an answer!
Answer:
a. 49 ft (nearest ft)
b. 24.5 sec
Step-by-step explanation:
a. work out TOP
[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]
b.
[tex] \frac{49}{2} \\ = 24.5[/tex]
divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec
Answer:
49 feet
25 seconds
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
20² + 45² = c²
400 + 2,025 = c²
2425 = c²
Take the square root of both sides
c = 49.244289009
Rounded
49 feet
------------------------
time
t = 49 /2
t = 24.5 seconds
Rounded
25 seconds
Help...................
Answer:
area=3.14 yd^2
Step-by-step explanation:
radius=diameter/2
=2/2
=1
area =π*r^2
=3.14&1
=3.14 yd^2
Answer:
3.14 yd^2
Step-by-step explanation:
First we need to find the radius
r = d/2 = 2/2 =1 yd
The area of a circle is given by
A = pi r^2
= 3.14 ( 1)^2
= 3.14 yd^2
Fill in the blanks on the unit circle.
HELP ASAP
Given a standard six-sided die, what is 1 point the probability of rolling a 2? Please use a fraction bar (/) OR a colon (:) to represent your answer.
Answer:
1/6
Step-by-step explanation:
We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)
well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.
Answer:
1/6
Step-by-step explanation:
There are six possible outcomes when rolling a die
1,2,3,4,5,6
P(rolling a 2) = number of outcomes that is a 2/ total outcomes
= 1/6
1.Round 3 601 111 to the nearest million
2. Round 17.81 to the nearest whole number
3. Round 59.52 to the nearest 1 d.p.
4. Round 7.176 to the nearest 2d.p.
(Pls help me…)
Answer:
See explanation
Step-by-step explanation:
Rules to follow when rounding
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20
3. All the numbers to the right of the place you are rounding to become zero
1.Round 3 601 111 to the nearest million
= 4,000,000
2. Round 17.81 to the nearest whole number
= 18
An whole number is a number without a decimal point
3. Round 59.52 to the nearest 1 d.p.
= 59.5
1 d.p means one digits after the decimal point
4. Round 7.176 to the nearest 2d.p.
= 7.18
2 d.p means two digits after the decimal point
x/6 + 12 = 6
Please help me
Answer:
[tex]x=-36[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} +12=6[/tex]
[tex]\frac{-36}{6} +12=6[/tex]
[tex]-6+12=6[/tex]
Hence, x = -36
Answer:
X = -36
Step-by-step explanation:
x/6 + 12 = 6
-12 = -12
x/6 = -6
(6) = (6)
x = -36
3. f(-4) - 3.9(-2) =
Answer:
Step-by-step explanation:
The circle below has center T. Suppose that mUV = 68 and that UW is tangent to the circle at U. Find the following. Does anyone know this?
Answer:
Step-by-step explanation:
Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.
As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees
Describe the main parts of a proof? ..
Answer:
Answer Expert Verified
Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove
Answer:
Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
Step-by-step explanation:
Have the day you deserve :)