Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older
than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each
daughter?
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.
Mel bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenari
The equation that models the situation is: 89.22 = $10.95p + $12.57.
The cost of one pizza is $10.95. The cost of 2 pizzas would be equivalent to the multiplication of $10.95 by 2. Since we are not provided with the information on the total amount of pizza she bought, the total number of pizza bought would be represented with p.
Thus the total cost of p boxes of pizza = $10.95 x p = $10.95p
The total amount spent on sodas is $12.57.
The total amount spent is $89.22.
The equation that models the situation is: 89.22 = $10.95p + $12.57.
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Multi step problem 4/7w = 4.2
Answer:
7.35
Step-by-step explanation:
4/7w=4.2
multiply both sides by 7
24/7w=29.4
simplify
4w=29.4
divide both sides by 4
w=7.35
Answer:
w equals 7.35
Step-by-step explanation:
7 times 4/7w = 4.2 times 7
4w = 29.4
Divide: 4w/4 = 29.4/4
w = 7.35
v∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
if vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B is at
Answer:
see explanation
Step-by-step explanation:
A translation of 6 units up means adding 6 to the y- coordinate
A translation of 3 units left means subtracting 3 from the x- coordinate
The translation rule is (x, y ) → (x - 3, y + 6 ) , then
A (- 1, 2 ) → A' (- 1 - 3, 2 + 6 ) → A' (- 4, 8 )
B (1, 5 ) → B' (1 - 3, 5 + 6 ) → B' (- 2, 11 )
Liam is a tyre fitter question
Answer:
a) 168
b) 3
Step-by-step explanation:
a) 56÷4=14 14×12=168
b) 56÷4=14 56-14=42 42÷14=3
need help what is this
Answer:
2nd option
Step-by-step explanation:
Substitute the values of x from the domain into f(x) for range
f(2) = 2³ + 1 = 8 + 1 = 9
f(3) = 3³ + 1 = 27 + 1 = 28
f(4) = 4³ + 1 = 64 + 1 = 65
range is {9, 28, 65 }
Answer:
hwhiwbshs bengshhwwvvw
Step-by-step explanation:
what is the equation of the line that passes through the point(-5,-4) and has a slope of -3/5?
Answer:
y= mx+c
-4= -3/5(-5) + c
-4= -3/5 *-5+ c
-4=3+c
-4-3=c
-7=c
therefore the equation of the line is y=-3/5x-7
Step-by-step explanation:
the equation of a line is
y=mx +c
where y is the y coordinate
where m is the slope
where x is the x coordinate
where c is the y- intercept
Fred's family wants to switch cell phone plans. Hot Spot Mobile is offering a one-time discount of $50 for families that use multiple phones with their service. Fred's family uses 5 phones, and the salesperson said the first month's payment, which includes the discount and the regular monthly rate for each phone, will be $62.25. What is the regular monthly rate for each phone?
Answer:
22.45
Step-by-step explanation:
ixl told me a
Answer:
$22.45 per month
Step-by-step explanation:
Fred's family will pay for cell service for 5 phones at a regular monthly rate of c dollars for each phone. They will also receive a discount of $50. The first month's payment will be $62.25. This equation represents the situation.
5c
−
50
=
62.25
monthly cost of cell service for 5 phones
one-time discount
first month's payment
Now, solve the equation for c.
5c–50
= 62.25
5c
= 112.25 Add 50 to both sides
c
= 22.45 Divide both sides by 5
The regular monthly rate for each phone is $22.45.
Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 294,580 303,417.40 312,519.92
House 2 (value in dollars) 295,000 304,000 313,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points)
Answer: Part C: House 1 at 25 is at
$598820.5 (rounded to the
nearest cent) and House 2 is at
$511000. House 1 has a higher
value. I hope that helps
Find the perimeter of the following figure
plsplspls
Answer:
30+4x
Step-by-step explanation:
Well, break it up into pieces: two rectangles.
what is 3/4 times 8/9?! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2/3
Step-by-step explanation:
= 3/4 * 8/9
= 24/36
simplify by 4
= 6/9
simplify by 3
= 2/3
Answer:
24 /36 or 2/3
Step-by-step explanation:
3 x 8 = 24
4 x 9 = 36
24/36
Simplify the fraction to get 2/3
Therefore, 2/3 would be your answer.
-kiniwih426
ANSWER PLEASE AND PLEASE SHOW WORKING
ONLY ANSWER IF UR ARE ANSWERING THE QUESTION PLEASE
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
x2 - 7x - 1x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-7)
Which is the desired factorization
Step-by-step explanation:
x = 7 or 1
identify the congruence transformation shown as a reflection, translation or rotation
Answer:
Counterclockwise rotation 90°
Step-by-step explanation:
first quadrant graph -> 2nd quadrant
Counterclockwise rotation 90° : (x,y) -> (-y , x)
The total area of Fred's yard is 60 square feet. The length is 6 feet. What is the width?
Answer:
Step-by-step explanation:
Answer:
10 square feet
Step-by-step explanation:
Can some one help me please I will give you 25 if you just tell me what the answer is
Answer:
I believe it helps the reader understand the mood of Frederick town. I hope this helps you! :)
MARKING BRAINLIEST: Can someone create a online graph - More information in the screenshot below
Answer:
Step-by-step explanation:
make a graph of what we need more of an explanation
Help WILL NAME BRAINLIEST
I can't really understand the whole concept of isosceles, can someone help me out??
Answer:
3
Step-by-step explanation:
What is the slope of a line parallel to y = 4x + 3.
Answer:Using the slope-intercept form, the slope is −4 - 4 .
Step-by-step explanation:To find an equation that is parallel to y=−4x−3 y = - 4 x - 3 , the slopes must be equal.
Answer:
the slope is −4 - 4
sorry if it’s wrong
how to do precentiges
Find the angle of C
Answer:
8
Step-by-step explanation:
Answer:
∠ C ≈ 22.6°
Step-by-step explanation:
Since Δ ABC is right at B
Using the sine ratio in the right triangle
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{5}{13}[/tex] , then
∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{5}{13}[/tex] ) ≈ 22.6° ( to 1 dec. place )
Can y’all please help?
Answer:
50
Step-by-step explanation:
5x-6=64
x=14
64-14=50
Please help out. I'm lost. I don't understand this :/
Step-by-step explanation:
15 . triangle on number 15 is an isoseles because it has two sides that are equal
and also it has two angles that are equal
16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different
- + =6
- +
+ - =14
+ - +
- + =5
= = =
9 10 4
Step-by-step explanation:
20-17+3=6
18+1-5=14
7-8+6=5
20-18+7=9
17+1-8=10
3-5+6=4
Which statement about the points (5, -9) and (5,9) is true? Plot the points on a coordinate plane to help you answer the question. © A. (5.-9) and (5,9) are reflections of each other over the yaxis. B. (5, -9) and (5,9) are reflections of each other over the x-axis. C. (5.-9) and (5,9) are both on the x-axis. D. (5.-9) and (5,9) are reflections of each other over both axes.
Answer:
A. (5,-9) and (5,9) are reflections over the y-axis
Step-by-step explanation:
if f(x) = 3x+2 then what is f(2)+1
20 oz.
4. The sum of 2 numbers is 40. The ratio of the bigger to the smaller number is 3:2. What is the smaller
number?
Answer:
16
Step-by-step explanation:
40 = 3:2 x
Then, you know that 3+2 = 5
so, x = 40/5
x=8
Now, you multiply x by 2 to get 16
16
The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario.
[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.
*Multiple Choice*
The correct statements about the scenario are;
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.According to the function given;
p(t)=4+2(t−1)Evidently, the function, p(t) represents the number of people that can sit when t tables are available.
T(n) = a + d(n -1)In essence, the function resembles that of a general arithmetic progression with first term, a = 4.
The common difference, d = 2.
The statements which are correct are therefore as listed above.
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Inverse operation for 6*8=48
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs.
equation: 3x + 2.06 = 5.06
x = 1
Step-by-step explanation:
The cost of each bottle is $1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.
The total cost before tax was $5.06.
let the cost of one juice bottle be x.
So, the equation is
2.06 + 3x = 5.06
3x = 5.06 - 2.06
3x= 3
x= 1
Hence, the cost of each bottle is $1.
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https://brainly.com/question/10413253
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