Answer:
Jeri is 13, and thus Theresa is 9 and Laura is 16.
Step-by-step explanation:
Let's start by declaring variables
D - dad's age
L - laura's age
J - jeri's age
T - theresa's age
The first statement tells us that D = L + J + T
Jeri being 4 years older than Theresa gives us
J = T + 4
Jeri being 3 years younger than Laura gives us
J = L - 3
So notice that the common variable in these two equations is J. So if we can represent every girls age in terms of Jeri's, we will be down to one variable. So
T = J - 4
L = J + 3
Now, we can rewrite the original equation using only J's
38 = (J + 3) + J + (J - 4)
38 = 3J - 1
39 = 3J
13 = J
So Jeri is 13, and thus Theresa is 9 and Laura is 16.
Kim buys a dress for $65 and some shirts for $15 each. Linda buys some shoes for $50 and some shirts for $20. If the girls spend the same amount of money and get the same number of shirts, how many shirts did they get?
Define a variable:
Write an Equation or Inequality:
Answer:
5 shirts
Step-by-step explanation:
we can use the problem to get an equation:
65+15x=50+20x
subtract 50 from each side to get:
15+15x=20x
subtract 15x from each side to get:
15=5x
divide each side by 5 to get your answer:
x=5
DAY 5: 10/28-29/21
8.6.7
21. On a farm, a pigpen is 35 yards from a chicken coop, the chicken coop is 60 yards from a cow
pasture, and the distance between the pigpen and the cow pasture is 95 yards. Which
statement is true?
A
The distances between the pigpen, chicken coop, and cow pasture do not form a right
triangle because 35 + 60 # 95.
B
The distances between the pigpen, chicken coop, and cow pasture do not form a right
triangle because 352 + 602 7952.
The distances between the pigpen, chicken coop, and cow pasture form a right triangle
because 35 + 60 = 95.
с
D
The distances between the pigpen, chicken coop, and cow pasture form a right triangle
because 352 + 602 = 952.
Answer:
A
Step-by-step explanation:
Solve 2x^2-3x-5=0 with the quadratic formula please and have a bless day
Answer:
( 2x^62- 3x) - 5 = 0
2x^62 - 3x - 5 = 0
X = - 1
- 5/2
The it is my dear friend
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
First:
A. (First Option)
Second:
C. (Third option)
(Brainiest and thanks are appreciated)
Answer:
Question 3:
O (7 x 50) - (7 x 2) = 350 – 14 = 336
Question 3:
O (9 x 80) + (9 x 1) 729
Step-by-step explanation:
Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1, since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).
-kiniwih426
Work out the value of 3.14
157/5....................
describe system of linear equations using practical situation and mathematical expressions
pahelp pooo
Answer:
A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.
I NEED HELP PLEASE!!!!!!
Answer:
Step-by-step explanation:
Two angles are alternate and has same measurement because line l and line m are parallel so to find x:
4x - 50 = 2x + 30
4x - 2x = 30 + 50 add/subtract like terms
2x = 80 divide both sides by 2
x = 40
The denominator of a fraction is 4 more than its numerator. If the fraction equals 1/3, what is the fraction?
Answer:
Hello,
Here is your answer:
2/6
english 3 hhhhhhhhhheeeeeeelllllllllllllllllppppppppppp me
Answer:
the answer is: A
because deduce means to arrive at a fact or conclusion by reasoning.
also because the correct word you would use In option A is reduce.
The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $60,000?
between 200 and 250; exclusive
between 200 and 250; inclusive
less than 250
more than 200
Solving the quadratic function, it is found that the range is of:
between 200 and 250; inclusive
The profit for x tours is modeled by the following equation:
[tex]p(x) = -2x^2 + 900x - 40000[/tex]
It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:
[tex]60000 = -2x^2 + 900x - 40000[/tex]
[tex]2x^2 - 900x + 10000 = 0[/tex]
Simplifying by 2:
[tex]x^2 - 450x + 50000 = 0[/tex]
Which has [tex]a = 1, b = -450, c = 50000[/tex]
Then:
[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]
[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]
[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]
At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:
between 200 and 250; inclusive
A similar problem is given at https://brainly.com/question/25181401
Use long division to divide and use the result to factor the dividend completely.
(5x2-13x - 28) + (x – 4)
(5x² - 13x -28)/(x-4) = (x-4)(5x+7) so x = -7/5 and x = 4 are the two factors of the given polynomial.
What is a factor of a polynomial ?The factors of a polynomial are those values of x for which the given polynomial satisfies.
According to the given question we have to divide a polynomial (5x² - 13x -28) by (x - 4).
(5x² - 13x -28)/(x-4) = (x-4)(5x) + (7x - 28).
(5x² - 13x -28)/(x-4) = (x-4)(5x+7).
So, the obtained factor is (5x+7) = 0.
∴ 5x + 7 = 0
5x = -7
x = -7/5 is a factor of the given polynomial and by substituting these value in x.
(5x² - 13x -28)
5(-7/5)² - 13(-7/5) - 28 = 0
5(49/25) + 91/5 - 28 = 0
49/5 + 91/5 - 28 = 0
140/5 - 28 = 0.
28 - 28 = 0
0 = 0 ( hence satisfied that -7/5 is a factor of the given polynomial ).
learn more about polynomials here :
https://brainly.com/question/14624349
#SPJ2
1,200 plus what equals what??
Answer:
1,200+300=1,500
Step-by-step explanation:
Answer:
1,200+1,200=2,400
Step-by-step explanation:
slope=0, goes through the point (-3,3)
Answer:
y=3
Step-by-step explanation:
Using the point slope formula
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-3 = 0(x--3)
y-3 = 0(x+3)
y-3 =0
y-3+3 = 0+3
y=3
can someone tell me if this is correct.
Freddy bought 3 bags of pebbles to put in his fish tank. Each bag contains 295 pebbles. After he put the right amount of pebbles in his fish tank, he had 104 pebbles left over. How many pebbles did he put in his fish tank?
295 x 3 = 885
885-104 = 781
781 pebbles
What is 15 percent of 120
Answer:
18
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
15% is [tex]\frac{15}{100}[/tex] which is equal to 0.15
Multiply 0.15 times 120 and you will get the answer below:
0.15 × 120 = 18
what is the answer ..
Answer:
m = 5, -1/3
don't know if this is right or wrong
Answer:
if the questio is 3m-7 over 4 -2 than
Step-by-step explanation:
the awanser is 3/4m+ -15/4
5x+4=5x+4 is it one solution, no solution, or infinite solutions?
Infinite solutions
Try to solve this equation:
5x+4=5x+4
Move all the variables to the left:
5x-5x+4=4
Do you see what I see?
4=4
We end up with a true statement. 4 does indeed equal 4. Hope this helps!
~Just a joyful teen
[tex]-GraceRosalia[/tex]
Last year, Robert grew 3 1/3 inches and his brother grew 1 2/3 inches. How much more did Robert grow than his brother?
When it says "how much more", it means to find the difference between the siblings' growth by subtracting their growths.
Step 1: Convert both mixed numbers to improper fractions
[tex]3\frac{1}{3}- 1\frac{2}{3}[/tex] Learn how to do that here: https://brainly.com/question/13099965
[tex]3\frac{1}{3}\\\\3\times3=9\\9+1=10\\\\\frac{10}{3}[/tex]
[tex]1\frac{2}{3}\\\\3\times 1 = 3\\3 + 2 = 5\\\\\frac{5}{3}[/tex]
[tex]\frac{10}{3} - \frac{5}{3}[/tex]
Step 2: Subtract
10 - 5 = 5
[tex]\frac{5}{3}[/tex] or [tex]\bold {1\frac{2}{3}}[/tex]
Therefore, Robert grew [tex]\bold {1\frac{2}{3}}[/tex] more than his brother.
Pls solve.. URGENT!!! Will give brainliest.
EXPLAIN IN STEPS
links will be reported
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Length of each side of each of these three equilateral triangle is :
[tex]1.5 \: \: cm[/tex]Solution is in attachment ~
Find all rational zeros of the given polynomial function.
f(x) = x^3 + 8x^2 + 5x – 14
Answer:
x = 1, -2, -7
Step-by-step explanation:
Just factor, you got this!
The cost of making a cake is $5. the Baker wants to make a profit of $10 per cake and the cake is to be cut into 30 pieces, what is the selling price of each piece?
Answer:.
Step-by-step explanation:
What is the integral of x?
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The integral of x is :
[tex] \dfrac{x {}^{2} }{2} + c[/tex]Work out 1.6 X 10⁴ + 0.8 X 10⁴.
math work
Answer:
2.4× 10^4
Step-by-step explanation:
you just sum 1.6 with 0.8
[tex]2.4 \times {10}^{4} [/tex]
over the last 4 years michael has earned $240 interest on an initial investment of $2,000. what simple annual interest rate is the bank paying on this account
Answer:
.03 or 3%.
Step-by-step explanation:
Important:
I = interest
P = principal (investment)
R = simple interest rate
T = years
Formula: I = PRT
Given:
I = $240
P = 2000
T = 4 years
R = ?
Plug into formula:
240 = 2000(R)4
Multiply right side 2000*4
240 = 8000R
Divide both sides by 8000.
R = 240/8000
R = .03
The simple annual interest rate was .03 or 3%.
Therefore it .03 or 3%
Which of the ratios below is equivalent to 2:3? Select all that apply.
A) 9:6
B) 10:15
C) 8:12
D) 4:5
E) 20:30
Answer:
Your answers are B, C, and E.
Step-by-step explanation:
They are all equivalent to 2:3.
write the equation for a line that passes through the points (5,5) and (7,-5)
Answer:
y = - 5x + 30
plz help me im stuck
hello can anyone help?
Harry drives 182 miles.
His average speed is 35 miles per hour.
How long does the journey take?
Give your answer in hours and minutes.
Answer:
5 hours 12 minutes
Step-by-step explanation:
Amount of time the journey took = 182 miles ÷ 35 miles/h
= 5.2h
= 5h 12mins
Synthetic Division x^3+9x^2-11x-13
Answer:
You can't synthetic divide since there's no dividend. As you can't factor it so I figure you must've forgot to include something or there's no solution.