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!
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 5x - 2
Step-by-step explanation:
y = mx+b
Answer:
y = -5x-2
Step-by-step explanation:
Use slope and y intercept to place the equation into slope intercept for (y=mx+b)
Two consecutive numbers exist such that the sum of three times the first number and two less than the second number is equal to 144. What are third numbers
Step-by-step explanation:
two consecutive numbers means that one is larger by 1 than the other number.
so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.
to show what I mean, let's start with the second number being the larger one.
we are dealing therefore with x and (x+1).
3x + (x+1) - 2 = 144
4x - 1 = 144
4x = 145
x = 145/4
this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution.
therefore we are checking the other approach :
we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.
3(x+1) + x - 2 = 144
4x + 1 = 144
4x = 143
x = 143/4
this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution either.
and now I am beginning to think you left out some important information in the question.
could it be these 2 numbers are consecutive even or consecutive uneven numbers ?
because then the difference between the both of them is 2 and not 1.
we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :
3x + (x+2) - 2 = 144
4x = 144
x = 144/4 = 36
ah ! now that looks different !
36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.
let's check :
36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144
correct.
and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :
3(x+2) + x - 2 = 144
4x + 6 - 2 = 144
4x + 4 = 144
4x = 140
x = 140/4 = 35
35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...
so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.
“a fraction f multiplied by 13 equals 29.
Answer:
29/13
Step-by-step explanation:
The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.
Match each linear equation to its slope and y-intercept.
slope:2, y-intercept:
-3+5y = 4
slope:2, y-intercept: 2
5y-1 =15
slope:$, y-intercept:
2y-3.1 = 7
slope:6, y-intercept: 3
2y=5T+7
slope:-5, y-intercept: 5
Answer:
-x + 5y = 4
5y = x + 4
y = x/5 + 4/5
Slope: 1/5
Y-intercept: 4/5
5y - x = 15
5y = x + 15
y = x/5 + 3
Slope: 1/5
Y-intercept: 3
2y - 3x = 7
2y = 3x + 7
y = 3/2x + 7/2
Slope: 3/2
Y-intercept: 7/2
2y = 5x + 7
y = 5/2x + 7/2
Slope: 5/2
Y-intercept: 7/2
Find the perimeter. Simplify your answer.
Answer:
The answer is 19s +23
Step-by-step explanation:
You add together all the sides and simplfy down.
4s+10+s+4+4s+10+10s-1
Add all the like terms
until it gets to 19s+23
Answer:
19s + 23
Step-by-step explanation:
P = 2(4s + 10) + s+4+19s-1
P = 8s + 20 + s + 4 + 10s - 1
P = 19s + 23
Please help me with this homework
Answer:
wow. at this point just guess
Step-by-step explanation:
(a−2b)^3 when a=−4 and b=−1\2
Answer:
- 125
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?
A. (3, –2), (2, –1), (3, 4), (4, 7)
B. (0, 4), (1, 2), (1, 0), (2, 3)
C. (2, 5), (3, 8), (4, 11), (4, 12)
D. (1, 7), (2, 5), (3, 6), (4, 1)
Answer:
D
Step-by-step explanation:
In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"
In A above, (3,-2), (2,-1), (3,4), (4,7)
There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.
B. (0, 4), (1, 2), (1, 0), (2, 3)
There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.
C. (2, 5), (3, 8), (4, 11), (4, 12)
4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.
D. (1, 7), (2, 5), (3, 6), (4, 1)
D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.
Wayne took his family out to dinner. The cost of the food was $42.50. Wayne decided to give a 30% tip because of excellent service. The tax was 4% of the cost of the food. What was the total amount the meal cost him?
Answer:
$56.29
Step-by-step explanation:
what is this anyone know?
Which of the following statements is NOT true?
it wont let me loo at it sorry but it seems easy.
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink iS apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.
Answer:
7/20 cranberry
Step-by-step explanation:
Answer:
7/20 is the answer
Step-by-step explanation:
math!!
HELPPPPPPPPP
A: 5 units
B: 4 units
C: 3 units
D: 2 units
Answer:
Its 5 units why its simple X and Y is in a strait line which mean you measure it and divide it by 3.14 which is pie you get your answer.
Step-by-step explanation:
mark brain if im correct :D
Which function has the smallest y-intercept value?
A
у
4
4
h(x)
2.
X
- 2
2.
4
+2
4
OB.
(x) =
= 2 + 10
A linear function, f, with an x-intercept of 3 and a y-Intercept of 6.
OC.
OD.
х
1
2
3
4
g(x)
1
-4
-9
-14
Answer:
Could you... put it normally?
Step-by-step explanation:
It's kinda confusing to read, so much understand
− 11/12 + p = 1/6
what does p =
Answer:
13/12
Step-by-step explanation:
p=1/6+11/12=(2+11)/12=13/12
A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters
Answer:
The answer to the is 28 and 40! hope this helps love
answer..............................
Answer:
yes
Step-by-step explanation:
Please help! WILL MARK BRAINLIEST
Answer:
[tex](4,2)[/tex]
Step-by-step explanation:
In our graph only [tex](4,2)[/tex] makes sense
The last one makes an upside-down triangle which is not what we're looking for
The third one makes a weirdly shaped one which we're not looking for
The second one doesn't look like the triangle we're looking for so it's incorrect
This means the first one is correct
Brainliest please
PLS HELP WILL MARK BRAINLIEST!
Answer:
it's b
Step-by-step explanation:
because it is sum and difference of 3x and 5
Solve the quadratic equation 2x + x-7 = 0
Give your answers to 2 decimal places.
[tex]\text{Its not a quadratic equation but the answer is 2.33}[/tex]
What is the remainder when the polynomial 8x2 4x−3 is divided by 2x−1?.
Answer:
Did the quiz :)
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation: i took the test hope this helps
Find the values of x and y, and z
Answer:
z = 15
y = 8
x = 7
Step-by-step explanation:
All of the angles added together equal 180.
4z + 4z + 4z = 180
z = 15
3y - 1 = 23 ( all sides equal each other because all angles equal each other )
y = 8
2x + 9 = 23 ( similar to how I found y )
x = 7
I hope this helps!!
y=-6/5x +4
y-= -1/5x -1
Answer: (5,-2)
Step-by-step explanation:
I'm assuming the equations are:
Y=-(6/5)x +4
y = -(1/5)x -1 [Note that I changed "y-" to just "y."]
We can solve this in one of two ways: Mathematically and Graphically.
Math:
y = -(1/5)x -1
6y = -(6/5)x -6
-(Y=-(6/5)x +4)
5y = -10
y = -2
y = -(1/5)x -1
-2 = -(1/5)x -1
-1 = -(1/5)x
5 = x
x = 5
The solution is (5,-2)
Graph:
See the attached graph. The lines intersect at (5,-2)
Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = n logx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3
[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3
[tex]log_{x}[/tex] 8 = 3
8 = x³
2³ = x³ , then
x = 2
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3.
Which represents the number of antique flower vases Christine can buy?
at least 20 vases
O at the most 20 vases
O exactly 20 vases
O at the most l vase
Answer:
97
Step-by-step explanation:
Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks
Answer:
66
Step-by-step explanation:
Multiplying 8 by 2 which gives you 16.
Then 16 Add 50 = 66
The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.
Answer:
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
The scores from Mrs. Rijo’s class are the closest to the class mean.
PLEASE HELP ME I REALLY NEED HELP!!
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
Mira weighed 9 lb 4 oz and lost 2 lb 12 oz. How much did she weigh now?
Answer:
6.5lb or 6 lb 8oz
Step-by-step explanation: