Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for the next 25 weeks.
How much money should Mr. Jacobs deposit each week?
Answer:
64$
Step-by-step explanation:
will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5
A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5
Answer:
option c
Step-by-step explanation:
The zeros of 3x+1
3x=-1
x=-⅓
plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor
3(-⅓)²+16(-⅓)+5
=0
What number makes the sentence true?
15 – 7 = 3+1
Answer:
4
Step-by-step explanation:
Although you didn't give me any answers to go with your problem, I am assuming that since 15-7 is 8, and 3 + 1 = 4, the answer should be 4. Now regarding if it is times, it would be x2. Because for times 2 would be 8. Overall the answer should be 4.
Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25
Answer:
1
Step-by-step explanation:
[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]
Maria had $100 at the beginning of summer vacation. She plans to mow lawns and charge $20 per lawn. Which graph could be used to determine the amount of money Maria will have after mowing 10 lawns if she saves all of her money?
Answer:
Line graph
Step-by-step explanation:
Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.
Answer:
The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.
[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]
If Karen's 45 minute lunch break ended at 12:30 P.M., what time did her lunch break begin?
Answer:
11:45 PM
Step-by-step explanation:
please mark brainliest :D
if a>0>b, show that 4a^2 - 5ab + b^2 >0
I WILL GIVE BRAINLEST!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSS SHOW YOUR WORK PLSSSS
WHAT IS DIFFERENCE BETWEEN SQUARE AND RHOMBUS JUSTIFY YOUR ANSWER
Answer:A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.
Step-by-step explanation:
Answer:
A square has all its angles equal to 90 degrees a rhombus has no 90 degree angles
2x + 6 = 8
can someone tell me dis
Answer:
x=1
Step-by-step explanation:
is the answer
Answer:
x = 1
Step-by-step explanation:
A 2-digit number is written on a paper. What is the probability that it starts with 2?
Answer:
1 out of 9
Step-by-step explanation:
25 POINTS and Brainliest
Answer:$293.83
Step-by-step explanation:
Answer:
293.83$
Step-by-step explanation:
total withdrawals = 6*15.72=94.32$
the rest amount before depostit is 153-94.32=58.68$
the rest amount After depostit is 58.68+235.15=293.83$
Find the sale price of the item. Round to two decimal places if necessary. Original price: $245.89 Markdown: 70% The sale price is
PLEASE ANSWER DUE IN 20 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$73.77
I'm not sure if I understood the question correctly
explain it in the comments
Step-by-step explanation:
If what I think the question is asking is correct, theres a 70% sale on the full price which is $245.89
70% of 245.89 is 172.123, so now you subtract the sale(172.123) from the original price(245.89)
245.89 - 172.123 = 73.767
If the question was asking a different thing explain it in the comments and I'll answer it for you
What is the ordered pair for point B?
Answer:
(4,2)
Step-by-step explanation:
..................................
I will give brainliest
Answer: 16 quarts of blue paint
Step-by-step explanation:
i divided 3 by 24 to see how many quarts there was then took the answer which is 8 and multiplied it by 2.... i dont know if its right but i tried
Can someone please help
please answer this question
Answer:
16%
Step-by-step explanation:
Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%
Can someone please tell me the answers for this question
(I'll dm you the screenshots on Twitter)
how to find future value?
Step-by-step explanation:
FV=$1000×(1+0.1)5
try solving with this it might help you and if it did please make me brainliest plzzzzxx
What is the value of the expression when a = -5 and c = -1?
Answer:
(8-5) + (16-1)=18
If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using guess or check.
Please show work
Answer:
I think 42
Step-by-step explanation:
What number should be included in the data set 9, 12, 8, 3, 11, 19, 23, 30, 21 if the range is 45?
a.46
b.-15
c.-3
d.39
Answer:
b:-15
Step-by-step explanation:
There are 9 num in the set sowe add all the num and the we divide the answer we got
Answer:
The answer is:
b) - 15
Hope it helps:D
{(2,-2),(4,-2),(5,0),(5,2),(9,2),(9,4)} Domain: Range: Function:
Answer:
Domain: {2,4,5,9}
Range: {-2,0,2,4}
Function: No
Step-by-step explanation:
Domain = x
Range = y
Domain: {2,4,5,9}
Range: {-2,0,2,4}
Function: No
Answer:
domain = { 2, 4, 5, 9 }
range = { -2, 0, 2, 4 }
function = one-to-many
PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!
Tmr is my exam pls help...
=========================================================
Explanation:
Recall that quadratic form is ax^2+bx+c.
So we need an x^2 term followed by an x term, then a constant at the end.
It may not look it, but the given equation is nearly in quadratic form.
Rewrite 9^(2x) as (9^x)^2
We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0
From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0
From here we can use the quadratic formula or factor. I'll factor.
w^2 - 2w - 3 = 0
(w - 3)(w + 1) = 0
w-3 = 0 or w+1 = 0
w = 3 or w = -1
---------------------
Now we use these values of w to find x
If w = 3, then,
w = 9^x
3 = 9^x
log(3) = log(9^x)
log(3) = x*log(9)
x = log(3)/log(9)
x = log(3)/log(3^2)
x = log(3)/(2*log(3))
x = 1/2
At the last step, we have the log(3) terms cancel.
Repeat for w = -1
w = 9^x
-1 = 9^x
log(-1) = log(9^x)
We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.
In short, w = -1 is extraneous so it doesn't lead to any x value solution.
So only w = 3 is useful.
Ultimately, the only solution is x = 1/2.
Right answer gets brainlist
yo im timed please help!! at the top it says "car A is traveling east at a steady speed of 45 mph. after 2 hours it is 100 miles east of Johnstown . car B is traveling east on the same road. its distance east of Johnstown is represented by the graph" il give 20 more points if you're correct
Answer:
it could be C or a
Step-by-step explanation:
more likey c be sorry if it's wrong
hiiiiiii hiiiiiiiii ji
Answer:
hlo thanks for free points ❤️❤️
Find the area of the parallelogram ABCD, where DC = 10cm, AD = 6cm, and angle A = 30 degrees
Answer:
6cm
Step-by-step explanation:
hope this helped
Answer:
60
Step-by-step explanation:
I need to know the answer quick
Answer:
v = 13
Step-by-step explanation:
Truly hope I helped fast enough:).