Aroha is 3 years older than her brother. The sum of Aroha's age and her brother's age is 31. Write and solve and equation to find their ages
Answer:
Therefore, Aroha is 17 yrs old and her brother is 14 yrs old.
Step-by-step explanation:
Let's represent Aroha's brother's Agee with the letter "b" yrs old.
If Aroha is 3yrs older than her brother, she's : (b+3) yrs old.
The sum of their ages is 31,
b+(b+3)=31
2b+3=31
Collect like terms,
2b=31-3
2b=28
Divide both sides by 2,
b=14
b+3=17
A cheerful teen hoping this helps,
stay techy, brilliant and positive!
Solve for x 2(x - 2)² = (2x - 1)(x - 3)
answer please
Answer:
X = 5
Step-by-step explanation:
Answer: x = 5
Step-by-step explanation:
Solve for x given the equation 2(x - 2)² = (2x - 1)(x - 3).
Simplify the equation.
2(x - 2)(x - 2) = (2x - 1)(x - 3)
2(x² - 4x + 4) = (2x² - 7x + 3)
2x² - 8x + 8 = 2x² - 7x + 3
Solve for x.
2x² - 8x + 8 = 2x² - 7x + 3
-8 - 8
2x² - 8x = 2x² - 7x - 5
+8x + 8x
2x² = 2x² + x - 5
-x - x
2x² - x = 2x² - 5
-2x² - 2x²
- x = - 5
- 5 ÷ - 1 = 5
x is equal to 5.
This and one more question, it’s now going to be put at much more points
Step-by-step explanation:
Number of stickers Rafael has left
= [tex]100 - 6s[/tex]
Substitute [tex]s = 7[/tex]into the expression.
[tex]100 - 6(7)[/tex]
= [tex]100 - 42[/tex]
= [tex]58[/tex]
Estimate a 15% tip a dinner bill of $47.64 by rounding a bill amount to the nearest ten dollars
Answer:
$7.14
Step-by-step explanation:
$47.64 to $47.6
47.6*15/100
=$7.14
(I maybe wrong though lol)
6(x + 1) = -2(3x + 9)
Answer:
x=-2
Step-by-step explanation:
6(x + 1) = -2(3x + 9)
Distribute 6 and -2.
6x+6=-6x-18
Move the variable to the left-hand side and move the constant to the right and change their signs.
6x+6x=-18-6
Collect like terms.
12x=-24
Divide both sides of the equation by 12.
x=-2
Hope this helps :)
P=√5+vt make v the subject
Answer:
p = √5 + vt
p - √5 = vt
p - 2.24 = vt
p - 2.24/t = t
Which of the following is incorrect?
I need help please! It’s due tonight.
Answer:
D
Step-by-step explanation:
Can i get brainiest Sorry if im wrong <3
. The marching band packed 3060 сans of juice into boxes for a
band competition. Each box holds 18 cans. How many boxes did
the band members have to carry?
Answer: 170 boxes
Step-by-step explanation:
You simply divide 3060 by 18.
Use the transitive property of equality to finish the equations
Answer:
since 4y=12 and 4y=2x then 4y=12=2x or 12=2x
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.
A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.
B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.
Using an exponential function, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) Her predicted profit is of $62,368.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate.Item a:
$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
Her predicted profit is of $62,368.
For more on exponential functions, you can check https://brainly.com/question/25537936
The graph of f(x) and g(x) are shown below
If f(x) = (x + 7)?, which of the following is g(x), based on the translation?
O g(x) = (x + 9)2
O g(x) = (x + 5)2
O g(x) = (x + 7)2 + 2
O g(x) = (x + 7)2 - 2
Answer:
c
Step-by-step explanation:
Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
Answer:
We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.
Step-by-step explanation:
The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).
Find the equation of a line that passes through (1,9) and is parallel to the graph of y=3x+4. Write the equation in slope-intercept form, if possible. Select the correct choice below and fill in the answer box to complete your choice. The equation of the parallel line in slope-intercept form is
enter your response here.
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
B.
The equation of the parallel line cannot be written in slope-intercept form. The equation of the parallel line is
enter your response here.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
GEOMETRY PROOFS!
Given: RA≅RE; EC≅AC
Prove: REC ≅ RAC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
Additional comment:-
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
also read similar questions: Complete this proof. Given: EC AC, DB AC, ∠A = ∠F Prove: ΔMDF ∼ ΔNCA..
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Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...
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Geometry problem, solve for X
Answer:
7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Parallel lines with transversal
The angles are the same because of corresponding angles
130=19x-3
133=19x
133/19=x
x=7
write an equation of the line passing through (2,-3) and is parallel to the line y=-2x-3. I need it done fast 40 points
Answer:
y = -2x + 1
Step-by-step explanation:
A parallel line has the same slope but different y-intercept.
Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.
Then make it from point slope form to slope intercept.
Hope this helps you. :)
The relationship between the number of gallons of water in a tank and number of hours is proportional. One point on the line modeling the relationship is (2,7200). Find the slope of the line, and draw a graph. Use the graph to find how long it will take to fill the tank if it holds 72,000 gallons.
The slope of the line is __
Answer:
Step-by-step explanation:
I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.
At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.
Graph done with paint, obviously not to scale.
Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)
Answer:
y=4x-5
Step-by-step explanation:
2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3
Answer:
the question is not clear
Step-by-step explanation:
wdym by this 2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3
Where is the point (0, -5) located on the coordinate plane?
A. In quadrant IV
B. In quadrant III
C. On the x-axis
D. On the yaxis
Solve for j.
j − –95 = 822
j =
Answer:
j = 727
Step-by-step explanation:
j - (-95) = 822j + 95 = 822j = 822 - 95j = 72716 + ((15 + 5) + 32)
Answer:
68
Step-by-step explanation:
16 + ((15 + 5) + 32)
= 16 + (20+32)
= 16 + 52
= 68
* Use BODMAS to solve the sum
2. You may submit your answer to question l in essay form here.
(0 points)
If you are unable to submit your answer to question 1 in audio form, you may submit your
answer here.
How do you simplify this expression?
-12 - 3.7-8-(-4)2 - 6) - 2
Prepare your response to this question. When you are ready, you may submit your response as
an audio recording or as a written essay. Be sure to include the following:
Answer:
I hope this helps
Step-by-step explanation:
Use the equation to complete the activity.
219 86RN → 215 84Po + a
The nuclear equation shows the transmutation of a form of radon into polonium and an alpha particle. In one to two sentences, explain whether or not the reaction is balanced.
Nuclear reaction involves the disintegration of an element and emission of radioactive particles during the process. This process can be natural, or artificially induced. Thus, the equation for the reaction is balanced.
Nuclear reaction is the process in which a given element emits radioactive particles or radiation. The two classes are: natural transmutation and artificial transmutation.
Natural transmutation occurs on its own due to the half life of the element. While artificial transmutation involves inducing or bombarding an element with another element or particle.
In the given question, the radon element undergoes transmutation into polonium and an alpha particle. The equation is given as;
[tex]^{219} _{86} RN[/tex] ⇒ [tex]^{215} _{84} Po[/tex] + [tex]^{4} _{2} a[/tex]
Therefore, the equation is balanced since an alpha particle was emitted.
Visit: https://brainly.com/question/1898040
The nuclear reaction entails the breakdown of an element and the subsequent release of radioactive particles. This process can occur naturally or be produced purposefully. As a result, the reaction equation is balanced. The radon element is transmuted into polonium and an alpha particle in the provided question. Since an alpha particle was emitted, the equation is balanced.
I put a picture
—PLEASE HELP
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft
Therefore it's Area is equal to : -
[tex]side \times side[/tex][tex]x \times x[/tex][tex] {x}^{2} [/tex]Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~
that is ~
[tex] {x}^{2} = \dfrac{1}{4} [/tex][tex]x = \sqrt{ \dfrac{1}{2} \times \dfrac{1}{2} } [/tex][tex]x = \dfrac{1}{2} \: \: feet[/tex]It's time to find the volume of cube that is ~
[tex](side) {}^{3} [/tex]So, let's plug the value of side length (1/2 ft)
Volume is equal to ~
[tex] { \bigg(\dfrac{1}{2} \bigg) }^{3} [/tex][tex] \dfrac{1}{8} \: \: ft {}^{3} [/tex]Hence, the required 1/8 or 0.125 ft³
I hope it helped ~
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
Step-by-step explanation:
side=Base=x
Area=side * side
Area=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
Substitute values in the above formula:
[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]=x * x
[tex]x^{2}[/tex]=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
x=[tex]\frac{1}{2}[/tex]ft
Now,
The formula of volume of Cube:
Volume=x*x*x
Substitute the values of x=[tex]\frac{1}{2}[/tex]ft in the formula of Volume:
Volume=[tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft
Volume=[tex]\frac{1}{8}[/tex] [tex]ft^{3}[/tex]
If you need to ask any questions, please let me know.Which sequence shows the numbers in order from least to
greatest?
OA) -2.45 x 102, 193, 6.987
OB) 6.987, -2.45 x 102, 793
OC) V93, 6.987, -2.45 x 102
OD) -2.45 x 102, 6.987, 793
Answer:
D
Step-by-step explanation:
Just did it
What is the simplest form of
(2p + 1)(2p - 5)?
Answer:
4p^2-8p-5
Step-by-step explanation:
Answer:
4p^2-8p-5
Step-by-step explanation:
Hope this helps :)
500 dollars divided by 3:7
Answer:
150:350
Step-by-step explanation:
3:7 = 3+7=10
500:10=50
3x50=150
7x50=350
150:350
Hope this helps :)
500 divided by 3 is equal to 166 with a remainder of 2: 500 / 3 = 166 R.
Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?
Answer:
1 1/12
Step-by-step explanation:
You take 2 3/4 and subtract it by 1 2/3
Make them into improper fractions 11/4 - 5/3
you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator
you get 33/12 - 20/12 and get 13/12
then make it a mixed number
hope this helps :)