Answer:
-18/29
Step-by-step explanation:
54 ÷ 3 = 18 - numerator
84 ÷ 3 = 29 - denominator
-54/84 = -18/29
on a shopping trip, Gina buys two books priced $4.99 and $12.99. She also buys 2 notebooks, 2 packs of pencils, and 3 composition books. The books are on sale for 10% off the list price and school supplies are 15% off. The store charges 6.5% sales tax. Item Cost ($) Notebooks 2.88 Composition Books 0.79 Pencil Packs 1.89
The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31
Given:
cost of two books = $4.99 + $12.99
= $17.98
Amount paid for books = $17.98 - 10% of $17.98
= 17.98 - 0.1 × 17.98
= 17.98 - 1.798
= $16.182
Cost of notebooks = quantity × price
= 2 × $2.88
= $5.76
cost of composition books = quantity × price
= 3 × $0.79
= $2.37
cost of pencil packs = quantity × price
= 2 × $1.89
= $3.78
Total cost = $5.76 + $2.37 + $3.78
= $11.91
Amount paid for school supplies = $11.91 - 15% of $11.91
= 11.91 - 0.15 × 11.91
= 11.91 - 1.7865
= $10.1235
Therefore,
total cost of all items Gina bought = $16.182 + $10.1235
= $26.3055
Approximately, $26.31
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Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
8
7
6
5
1
543 2
1 2 3 4
5
A. The function shown on the graph has a greater rate of change, but
a lower starting point.
B. The function shown on the graph has a greater rate of change and
a higher starting point.
C. The function shown on the graph has a smaller rate of change, but
a higher starting point.
The given highest power of x in the given function, y = 4·x + 2, is 1,
therefore, the graph of the function is a straight line.
The statement that correctly compares the function shown on the graph
with the function; y = 4·x + 2 is; C. The function shown on the graph has a
smaller rate of change but a higher starting point.
Reasons:
The given function is; y = 4·x + 2
Comparing with the equation for a straight line; y = m·x + c, we have;
The rate of change or slope, m = 4
The y-intercept, starting point, c = 2
Two points on the function shown on the graph are; (0, 4), and (-2, -2)
The slope of the given graph is therefore;
[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]
The rate of change of the graph, m = 3
The equation of the graph is therefore;
y - 4 = 3·(x - 0)
Which gives;
y = 3·x + 4
The y-intercept, starting point of the graph, is therefore, c = 4
Which gives;
The function shown on the graph has a higher starting point but a smaller rate of change than the given function.
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15.35m rounded to the nearest whole number
Answer:
The answer is 15m
Step-by-step explanation:
The meaning whole number means an actual whole number, decimals are just part's of a whole number, so excluding decimals:
If you look at 5 and compare it to 3 following next, 3 is not higher then 5 and therefore is rounded down.
Hope this helps!
3. A person jogs 1/7 mile in 1/42 hour. What is the person”s speed in miles perhour?
Answer:
42/7 = 6 miles per hour
Step-by-step explanation:
Given,
The total distance covered by the person = [tex]1/7[/tex] a miles,
Time taken by him = [tex]1/42\\[/tex]an hour,
We know that, speed = Distance, time
The speed of the person = [tex]1/7 over 1/42[/tex]
42/7
also known as 6 miles per hour
I hope this helps and have a great day!
Pls help me !!!!!! With question number one
1. Angelica is five years less than double Jaheim’s age . Jaheim is 14years old . How many years old is Angelica
Answer:
23
Step-by-step explanation:
14x2=28-5=23
Answer:
23
Step-by-step explanation:
add 14+14= 28-5=23
I need help asap please
Answer:
[tex]p(t) = - 3t + 75 \\ p(t) = 0 \\ - 3t + 75 = 0 \\ 3t = 75 \\ t = \frac{75}{3} \rightarrow \boxed{t = 25 \: mins} \\ 3 \: papers \: per \: mins \\ domain \: \boxed{t \geqslant 0} \: \\ because \: time \: cant \: be \: negative \: on \\ \: this \: perticular \: occasion \\ \therefore \: range \: \boxed {p(t) \geqslant 0 }[/tex]
Which expression is equivalent to 6m + (m – 2)(m + 7) + 3?
Answer:
m^2+11m-11.
Step-by-step explanation:
Answer: When x=10 , both expressions have a value of 33. James determined that these two expressions were equivalent expressions using the values of x= 4 and x=6 .Which statements are true? Check all that apply. When x=2, both expressions have a value of 18. The expressions have equivalent values for any value of x.
Step-by-step explanation:
Hope this helps!
George is looking at stock market charts. He can buy a collection of stocks for 6 shares for $618. How much would it be for 11 shares?
PLEASE HELP!!
(04.03)
Given the function g(x) = 5(2)^x, compare the average rate of change from x = 1 to x = 2 and from x = 3 to x = 4.
How many times greater is the average rate of change from x=3 to x=4 than from x=1 to x=2?
О 4 times
O 5 times
O 2 times
O The average rate of change of Section B is not greater than the average rate of change of Section A.
Answer: Choice A. 4 times
========================================================
Explanation:
We'll be using this formula
[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]
to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).
To start things off, we'll compute the AROC from x = 1 to x = 2.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]
Do the same for the AROC from x = 3 to x = 4.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]
The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.
find tge equation of the line
Answer:
y = -2x + 9 or y = 9 - 2x
Step-by-step explanation:
First find the gradient
Pick two points on the graph, (4, 1) and (1,7)Find the change in y (7 - 1 = 6)Find the change in x (1 - 4 = -3)Divide the change in y by the change in x = 6 ÷ -3 = -2The gradient is -2: y = -2x + cNext, look at where the line intercepts (goes through) the y-axis: 9
The equation of the line is y = -2x + 9
Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.
Hope this helps!
The inequality 2x+1>15 will be true when
1. x=7
2. x=0
3. x=10
4. x=5
Answer:
3.) x = 10
Step-by-step explanation:
Let’s plug it into our equation
2(10) + 1 = 21
21 is greater than 15
On a map, 1 inch equals 15 miles. Two cities are 7 inches apart on the map. What is the actual
distance between the cities?
The actual distance between the cities is miles.
Answer:
105 miles
Step-by-step explanation:
The ratio you have is 1:15
So you must multiply 7 by 15 to find the actual distance in miles.
7*15=105
The temperature dropped 4°C every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Answer:
-24 degrees Celsius
Step-by-step explanation:
6 x -4 = -24
Answer:
24 degrees.
Step-by-step explanation:
6 * 4 = 24.
The length of a side of a square is given by the expression 2x + 1, and its perimeter is 56.
[I have the equation, 4(2x + 1) = 56 down but I want to make sure that x actually equals 6.5]
Answer:
Step-by-step explanation:in the picture
Answer:x=[tex]\frac{13}{2}[/tex] or x= 6.5 either way x equals to the number 6.5 .
Step-by-step explanation:The image below will explain how you solve the problem also thanks for the person above me for the idea of answering this question.
HOPE THIS HELPS
:)
Also website as seen in the photo is symbolab
Find the slope of the line that passes through (-68, 47) and (-66, 33).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Quick please
Answer:
- 7Step-by-step explanation:
The slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]Substitute the values to get:
[tex]m=(33-47)/(-66+68)=-14/2=-7[/tex]_________
[tex] \: [/tex]
(X1, X2) = (-68, 47)
(Y2, Y1) = (-66, 33)
Soo :
m = [tex]\frac{Y2 - Y1}{X2 - X1}[/tex]
m = [tex]\frac{33 - 47}{68 - 66}[/tex]
m = [tex]\frac{-14}{2}[/tex]
m = [tex]\boxed{\bold{-7}}[/tex]
Done.
Given:
∠
A
E
D
≅
∠
A
C
B
.
∠AED≅∠ACB.
Prove:
∠
A
B
C
≅
∠
A
D
E
∠ABC≅∠ADE.
The triangles have a common vertex angle, and a given pair of
corresponding and congruent angles, they are therefore similar triangles.
∠ABC ≅ ∠ADE (CASTC)Reasons:
The given parameters are;
∠AED ≅ ∠ACB
By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =
∠BAC in common.
Therefore, ∠DAE ≅ ∠BAC, by reflexive property.
Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in
ΔACB.
(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA
Angle-Angle similarity postulate, and by Corresponding Angles of Similar
Triangles are Congruent CASTC we have;
∠AED ≅ ∠ACB
∠DAE ≅ ∠BAC
∠ABC ≅ ∠ADELearn more here:
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help its due in 3 mins
Answer:
Can you please give me the question or link
Step-by-step explanation:
(-0.4)^2 sum pls i need this by tonight i have to finish my math corrections pls
Answer:
(-0.4)²
= -0.4×-0.4
product of two negative numbers is positive
so, 0.4×0.4
=4/10×4/10
=16/100
=0.16
pls help!!! i will give brainliest!!!!! :D
Answer:
31 cm
Step-by-step explanation:
the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41
A shipment of sugar fills 2 4/5 containers. If each container holds 2 3/7 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
6 4/5 tonsStep-by-step explanation:
Multiply the number of containers by the amount in each to find the total amount of sugar:
2 4/5 * 2 3/7 = 14/5 * 17/7 = 2*17/5 =34/5 = 6 4/5Find h. h - 6 = 5
(A) 5
(B) -1
(C)11 (D)6
Answer:
C
Step-by-step explanation:
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form.
I need help with this problem
A number n decreased by 8 is 19
Answer:
n-8=19
Step-by-step explanation:
(6d+5)−(2−3d) find the difference
Answer:
10d
Step-by-step explanation:
6d+5 =11d
2-3d = -1d
11d-1d= 10d
pls pls pls help meeee!
Answer:
x is 90 because it is a right triangle
Equivalent (-1)+10+9 please
Answer:
18
Step-by-step explanation:
1) Simplify the expression
-1 + 10 + 9
9 + 9
18
what is the equivalent value of 1/3×(−15)
(3)
(2)
2 m
5 m
2 m
5 m
Perimeter:
Area:
Step-by-step explanation:
The area = (5 × 3) + (2 × 3) = 15 + 6 = 21
The perimeter = 2 + 3 + 5 + 5 + 3 + 2 = 20
please give me a brainliest answer
write an inequality whose solutions are represented by the shaded part of the graph
Answer:
x > 3
Step-by-step explanation: