The expression to represent the amount of money Dion spent on fruit is 3x + 2y.
The amount of money Dion spent is $6.15
How to represent mathematical expression?Expression are numbers, symbols and operators grouped together that show the value of something.
Dion bought 3 pounds of oranges and 2 pounds of grapefruit.
The expression to represents the amount of money Dion spent on fruit is as follows:
let
x = cost of each pounds of oranges
y = cost of each pounds of grapefruit
Therefore,
total cost = 3x + 2y
Let's evaluate the expression
total cost = 3(0.99) + 2(1.59)
total cost = 2.97 + 3.18
total cost = 6.15 dollars
Therefore, Dion spent $6.15
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HELP ASAP ILL MARK BRAINLIST
1.State whether ∆RST is similar to ∆UVW and why. Show your work and explain what postulate or theorem you used to solve.
Answer:
Yes they are similar
Step-by-step explanation:
Divide the length VW by ST
24 ÷ 16 = 1.333
Divide the length VU by SR
16 ÷ 12 = 1.333
→ As they have the same scale factor, they are similar.
Answer:
Step-by-step explanation:
First when triangles are similar angles are congruent and the side ratio are the same .
18/24=12/16=m/32
3/4=3/4=m/32
3/4=m/32
4m=96
m=24
Write a real-world problem that can be solved using the equation:
7.5 + x = 16
PLEASE HELP ME
Answer:
8.5
Step-by-step explanation:
7.5 + 8.5 = 16
Omar owns a small business selling ice-cream. He knows that in the last week 32
customers paid cash, 2 customers used a debit card, and 26 customers used a credit
card.
a
a
If next week, he is expecting 1500 customers, about how many would you expect to
pay with a debit card? Round your answer to the nearest whole number.
a
The number of customers who will pay by debit card will be 50.
What are fractions?The fraction is defined as the division of the whole part into an equal number of parts.
Last week there were
32 + 2 + 26 = 60 customers.
That means that the fraction of the customers, who paid by debit card, was
2/60 = 1/30
In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.
we simply say that we expect the same fraction, 1/30 if customers use credit cards.
for the absolute number of predicted debit card customers we multiply the predicted number of customers by the expected fraction
1500 × 1 / 30 = 1500 / 30 = 50
Therefore the number of customers who will pay by debit card will be 50.
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To solve this equation for x, we must get x by itself. How would we do this?
X + 4 = 7
A. Add 4 to both sides.
B.Subtract 4 from both sides.
Answer:
B
Step-by-step explanation:
If you were to add 4 to both sides, you would have X + 8 = 11
But when you subract, you get X = 7-4, X = 3.
is 56/72 and 7/9 proportional
Answer:
Yes.
Step-by-step explanation:
7 x 8= 56
9 x 8= 72
56/72 is proportional to 7/9
Answer:
[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional
Step-by-step explanation:
In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.
Please help me!!! I don't know!
txcfygvubhjnlkm
Answer:
See explanation
Step-by-step explanation:
look photo
Write 1.5 as an improper fraction and mixed number in simplest form.
Answer:
1 1/2 (mixed)
3/2 (improper)
Step-by-step explanation:
When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.
good luck :)
3/2
is the answer to this question
Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1
Answer:
See below, please
Step-by-step explanation:
Left side
[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]
[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]
[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]
[tex] = 3 {x}^{2} + 2x[/tex]
Right side
[tex]3 \times {(x + 1)}^{2} - 1[/tex]
[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 2[/tex]
After compared with both sides, we can make a conclusion that
This equation isn't an identity.
Find the total amount
$17,600 at 16% compounded
quarterly for 2 years
Answer:
57,700.10
Step-by-step explanation:
To solve, we use the equation [tex]17,600(1.16)^8[/tex]
we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.
please rate and mark as brainlest
What are the two conditions that an asset of a business needs to fulfill?
Answer:
✒️Answer:Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.
Step-by-step explanation:
#CarryOnLearning[tex]watch.some.anime[/tex]
Please help! I am confused.
Answer:
z = 180°
Step-by-step explanation:
First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.
S = (n-2)180
S = (6 - 2)180
S = (4)180
S = 720°
Next, make an equation adding all the interior angles and setting them equal to 720.
t + t + 2t + t + t + 2t = 720
8t = 720
8t/8 = 720/8
t = 90°
Finally, find the measure of angle z by substituting 90° for t.
z = 2t
z = 2(90)
z = 180°
You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doubling each day (2 cents on day 2, 4 cents on day 3, 8 cents on day 4, etc.) for the rest of this 30 day month. Option B is to be paid $1 on the first day of the month, with your wages increasing $100 each day ($101 on day 2, $201 on day 3, $301 on day 4, etc.). Which option will give you more money by the end of the month? Make sure to support your answer. Also remember to find the equations for the exponential function and the linear function. Substitute 30 in for x and simplify.
Answer:
Step-by-step explanation:
Option B
Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.
Answer: A is the correct answer
Step-by-step explanation:
Its a because the amount keeps doubling so you will start with =
.1 then go too .2 (which is double .1)
then after .2 you will get .4( which is double .2 i will show you the graph.
.1, .2, .4, .8, 1.6, 3.2, 6.4 etc. Then when you get to day 30 you will have
53.687 million dollars, buy the end of them month, you'd be a millionaire.
how many more books would eric have to read to match the same number of books as mark?
Answer:
30 books
Step-by-step explanation:
Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30
A rectangular bathroom mirror is 4 feet wide and 2 feet tall. What is its perimeter?
Answer:
The perimeter is 24 feet :]
hope this helps! <33
Answer:
12 feet
Step-by-step explanation:
The perimeter of a rectangle is just the sum of all the sides. There are four sides, two that represent the width, and two that are the length. Basically, the easiest way for us to find the perimeter of this shape is to add together the length and the width 2 times.
4 + 2 + 4 + 2 = 12
So, the perimeter of the mirror is 12 feet! I hope this helps! Have a lovely day!! :)
What is the AREA of the figure
What is the value of log subscript 7 baseline 343? –3 negative one-third one-third 3
The value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
It is given that the [tex]\rm log_7343[/tex]
It is required to find the value of [tex]\rm log_7343[/tex]
What is the logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have [tex]\rm log_7343[/tex]
We know the logarithm properties that:
[tex]\rm log_ac^n = n\times log_ac[/tex]
[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]
We can write [tex]\rm log_7343[/tex] as
= [tex]\rm log_77^3[/tex] (∵ 343 = [tex]7^3[/tex])
= [tex]\rm 3log_77[/tex] [tex]\rm (log_ac^n = n\times log_ac)[/tex]
= 3 [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]
Thus, the value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
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Answer:
D
Step-by-step explanation:
Help please :3
What is the function rule for the table below?
_5×1_5=_10
_5×2_5=_15
_5×3_5=_20
Suppose $a(x) = 3x - 7$ and $b(x) = 2 - x^3$. What is the value of $a(b(3)) - b(a(3))$?
Answer:
-76
Step-by-step explanation:
b(3)=2-3^3 = -25.
So a(b(3))=a(-25)=3(-25)-7=-82.
a(3)=3(3)-7=2.
So b(a(3))=2-2^3 = -6.
Therefore, the value of the desired expression is -82-(-6)=-76
The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).
What is a function?
"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}
A relation is said to be a function if every element of set A has one and only one image in set B.
A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."
Given two functions are:
[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]
When the value of 'x' is 3, then the values of the given two functions are:
[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]
[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]
Now the value of the required function is:
[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]
Therefore, the value of the required function is (-88).
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3 3/5 + 1 1/6 answer as a fraction
[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]
[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]
[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]
[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]
[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]
[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]
[tex] \frac{108 + 35}{ 30} = \\ [/tex]
[tex] \frac{143}{30} \\ [/tex]
Help for question 1 and 2
Answer:
(1). [tex]5^{4}[/tex] × [tex]13^{7}[/tex] ; (2). 3 - 5x
Step-by-step explanation:
1). [( - 5 )³ · ( - 5 )] ( [tex]13^{-2}[/tex] · [tex]13^{9}[/tex] ) = [tex](-5)^{3+1}[/tex] × [tex](13)^{-2+9}[/tex] = [tex](-5)^{4}[/tex] × [tex]13^{7}[/tex] = [tex]5^{4}[/tex] × [tex]13^{7}[/tex]
2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x
Write an equation in point-slope form of the line that passes through the point (5,6) with slope 3/5
point-slope form:
y - y₁ = m(x-x₁)slope intercept form:
y = mx + bEquation:
[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} (x-5)[/tex] [tex]\sf [ \ this \ is \ point \ slope \ form \ equation \ ][/tex]
[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} x-3[/tex] ----------------
[tex]\sf \hookrightarrow y= \dfrac{3}{5} x-3+6[/tex] -------------------
[tex]\sf \hookrightarrow y= \dfrac{3}{5} x+3[/tex] [tex]\sf [ \ this \ is \ slope \ intercept \ form \ equation \ ][/tex]
Answer:
[tex]\boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]
Step-by-step explanation:
Given:
Line passes through: (5,6)Slope = 3/5 = 0.6Formula:
[tex]y - y_{1} = m(x - x_{1} ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{m = Slope}; \ (x_1},y_{1}) = \text{Coordinates of point}][/tex]Substitute the values into point slope form to determine the equation of the line in point slope form.
[tex]\implies y - y_{1} = m(x - x_{1} )[/tex]
[tex]\implies \boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]
calculate the value of s and t
Answer:
s = 4, t = 1.2.
Step-by-step explanation:
y = k/x (Inverse variation, k is some constant)
Substituting:
2 = k/3
k = 2*3 = 6
So the relation is y = 6/x.
So 1.5 = 6/s
s = 6/1.5 = 4.
t = 6/5 = 1.2.
Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 4 inches by 6 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
Answer:
96 inches
Step-by-step explanation:
The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.
find the total surface area of the net below.
Answer:
78,4 cm^2
Step-by-step explanation:
I did this in my head so i could be wrong but im pretty certain this is right
Find the area OR cicumference of the semi-circle below. You must show all work to get full credit. Don't forget to label your answer.
Answer:
28.274 cm^2
Step-by-step explanation:
A = pi * r^2
A = pi * 3^2
A = pi * 9
28.2743338823
or
28.274
please answer these quickly i need this
Answer:
A
Step-by-step explanation:
Given h(r) = 5r-5,find h(2)
[tex]===================================[/tex]
let's find the value of h(2)
we know that
h(r)=5r-5
which means
h of r is 5 times r minus 5
hence
h of 2 is 5 times 2 minus 5
simplify:
h(2)=5(2)-5
h(2)=10-5
h(2)=5
[tex]==================================[/tex]
note:-Hope everything is clear; if you need any more explanation/clarification, kindly ask me, and I will comment and/or edit my answer :)Answer:
5
Step-by-step explanation:
h(2)=5r-5
=5×2-5
=10-5
=5
This i-ready lesson is hurting my brain, anyway I need help on this one
Answer:
I am pretty sure it is 100in^3 + s^3
Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help
Answer:
x > -3
Step-by-step explanation:
The function will be increasing where its derivative is positive.
__
y = x^2 +6x . . . . . given function
y' = 2x +6 . . . . . . . derivative
The derivative is positive for ...
2x +6 > 0
2x > -6
x > -3 . . . . . domain where the function is increasing
What is the volume of this figure?
Enter your answer in the box.
ft³
Answer:
96
Step-by-step explanation:
L=6
W=2
H=8
LxWxH=8x6x2=96
8x6=48
48x2=96
Answer:
76
Step-by-step explanation:
the answer is 76 because I took the test