Answer: Define variables:
x = Cost of orange
y= Cost of lemon
System of equations that represents this situation:
6x+5y = 5.67
3x+7y = 4.32
Step-by-step explanation:
Let x = Cost of orange
y= Cost of lemon
Cost of both = (Number of oranges) x (Cost of orange) + (Number of lemons) x (Cost of lemon)
As per given,
6x+5y = 5.67
3x+7y = 4.32
Hence, system of equations that represents this situation:
6x+5y = 5.67
3x+7y = 4.32
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC?
answers:
Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE.
Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Answer:
B would be the answer
Step-by-step explanation:
If you reflect the triangle ABC onto EDC then you will see that they are congruent and equal.
this means that <ABC ~ <EDC
The AA postulate states that if two corresponding angles of two or more triangles are congruent then the triangles are similar. If you translate ABC onto EDC you can see that all of the angles let alone two are all congruent thus proving that ABC = EDC
Pls mark brainliest if I helped.. Thanks:)
Option (B) is the correct answer.
What is AA postulate?According to the AA postulate, triangles are comparable if two matching angles of two or more triangles are congruent.
Given that,
∠ABC = 45° and ∠ECD = 45°
Angle-Angle or AA similarity postulate,
When triangle ABC reflect onto EDC, then triangle will be congruent and equal.
Implies that ΔABC ≅ ΔDEC.
Hence, option (B) is the correct answer.
To know more about AA postulate on:
https://brainly.com/question/2819482
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. Which graph represents the solution to the inequality below? 4 – 2x > -2
5/8 mile in 1/4 hour
Answer: 2.5 mph
Explanation:
4 x 5/8 = 2.5
Is 372 divisibile by 6? And why
Answer:
yes
Step-by-step explanation:
its 62
Answer:
Yes 372 is divisible by 6.
Step 1:
Start by setting it up with the divisor 6 on the left side and the dividend 372 on the right side like this:
Step 2:
The divisor (6) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
Step 3:
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
Step 5:
Move down the 2nd digit of the dividend (7) like this:
Step 6:
The divisor (6) goes into the bottom number (37), 6 time(s). Therefore, put 6 on top:
Step 7:
Multiply the divisor by the result in the previous step (6 x 6 = 36) and write that answer at the bottom:
Step 8:
Subtract the result in the previous step from the number written above it. (37 - 36 = 1) and write the answer at the bottom.
Step 9:
Move down the last digit of the dividend (2) like this:
Step 10:
The divisor (6) goes into the bottom number (12), 2 time(s). Therefore put 2 on top:
Step 11:
Multiply the divisor by the result in the previous step (6 x 2 = 12) and write the answer at the bottom:
Step 12:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
Write an equation of the line passing through the points (3,8) and (-2,-22)
Answer:
y=6x+8 or y=6x-22
Step-by-step explanation:
use the equation y=mx+b
m is the slope and b is the y-intercept
to find the slope use the equation m = y2-y1 over x2-x1
-22 - 8 / -2 - 3 = -30 / -5 = 6
6 is your slope and for the y-intercept you can choose whichever y-intercept to put into the equation.
HOPE THIS HELPS!!
What is 0.524 In scientific notation
What is the product of 0.04 and 0.2?
A:0.008
B:0.81
C:0.08
D:0.8
Answer:
A. 0.008
I hope this helps!
Answer:
A. 0.008
Step-by-step explanation:
Product mean you multiply, so you multiply 0.04 and 0.2 and you get 0.008
0.04 x 0.2 = 0.008
Does Kerri's dot plot match the data in the tally
table? Yes or no?
Use kerri’s for plot to complete these statements
___classmates spent 3 hours at the park
___Classmates spent 4 hours at the park
___Classmates spent 5 hours at the park
____Classmates spent 6 hours at the park
Answer:
the answer is none
Step-by-step explanation:
because as you can see the dots dosent match the tally's on the chart
help asap
solve them all i will mark u brainllest
Answer: (15) see below (16) 284 (17) option 1 (18) option 3
(19) see below (20) 33 (21) L = 50, w = 10
Step-by-step explanation:
15) 7xy + 3x + 5
↓ ↓ ↓
↓ ↓ 5 is a term with no variable so is a constant
↓ 3x is a term with a coefficient of 3
7xy is a term with a coefficient of 7
Constant Coefficient Term
7 X
3x X
5 X X
16) 12a² - 3 |b| + 2a ; a = -5, b = -2
12(-5)² - 3 |-2| + 2(-5)
= 12(25) - 3(2) - 10
= 300 - 6 - 10
= 294 - 10
= 284
17) 4(k + 5) = -2(9k - 4)
4k + 20 = -18k + 8 Distributed 4 and -2
22k + 20 = 8 Added 18k to both sides
22k = -12 Subtracted 20 from both sides
k = -12/22 Divided 21 from both sides
k = -6/11 Simplified (GCF = 2)
18) V = π r²h
V/(π r²) = h Divided π r² from both sides
19) v = s² + (1/2)sh
v - s² = (1/2)sh Subtracted s² from both sides
2(v - s²) = sh Multiplied both sides by 2
2(v - s²)/s = h Divided s from both sides
1 2 3
subtract s² X
divide by s X
multiply by 2 X
20) F = (9/5)C + 32 ; F = 91
91 = (9/5)C + 32
59 = (9/5)C Subtracted 32 from both sides
295 = 9C Multiplied both sides by 5
32.8 = C Divided 9 from both sides
33 = C Rounded to the nearest whole number
21) Perimeter (P) = 2Length (L) + 2width (w)
Given: P = 120, L = 5w
P = 2L + 2w
120 = 2(5w) + 2w
120 = 10w + 2w
120 = 12w
10 = w
L = 5w
= 5(10)
= 50
4х – 9у – 2 = 0
12х - 5у + 38 = 0
answer in x and y intercept
Answer:
x=5
y=2
Step-by-step explanation:
-3(4х – 9у – 2 = 0)
=-12x+27y+6
12х - 5у + 38
-12x+27y+6
22y=44
y=2
x:
4x-9(2)-2=
=4x-20
4x=20
x=5
3.4z + 6.3 = -1.7z + 41.7
What’s z?
Answer:
z = 6.94
Step-by-step explanation:
3.4z + 6.3 = -1.7z + 41.7
5.1z = 35.4
z = 6.94
six years from now, mark we'll be four times his age today. what is correct equation in terms of Marc's present age A.x+6=4×B.x=4×+6C.4×=×-6D.x=x+4x
Answer: A
Step-by-step explanation: I'm in college. This is middle school math lol
Solve for n -3n-5=16
Answer:
n = -7
Step-by-step explanation:
Solve for n:
-3 n - 5 = 16
Hint: | Isolate terms with n to the left-hand side.
Add 5 to both sides:
(5 - 5) - 3 n = 5 + 16
Hint: | Look for the difference of two identical terms.
5 - 5 = 0:
-3 n = 16 + 5
Hint: | Evaluate 16 + 5.
16 + 5 = 21:
-3 n = 21
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -3 n = 21 by -3:
(-3 n)/(-3) = 21/(-3)
Hint: | Any nonzero number divided by itself is one.
(-3)/(-3) = 1:
n = 21/(-3)
Hint: | Reduce 21/(-3) to lowest terms. Start by finding the GCD of 21 and -3.
The gcd of 21 and -3 is 3, so 21/(-3) = (3×7)/(3 (-1)) = 3/3×7/(-1) = 7/(-1):
n = 7/(-1)
Hint: | Simplify the sign of 7/(-1).
Multiply numerator and denominator of 7/(-1) by -1:
Answer: n = -7
Answer:
n = -7
Step-by-step explanation:
Add 5 to each side, so it now looks like this: -3n = 21Divide each side by -3 to cancel out the -3 next to n. It should now look like this: n = -7I hope this helps!
. Eight years ago, Rudi thought that he was making a sound investment by buying $1000 worth of Pro Sports Management stock. Unfortunately, his investment depreciated steadily, losing 15% of its value each year. a. What is the multiplier? b. Write a function using f(t) to describe the situation. c. How much is the stock worth now?
Answer:
a. 0.85
b. [tex]f(t) =1000(0.85)^t[/tex]
c. $272.49
Step-by-step explanation:
Given that:
Initial investment made, 8 years ago = $1000
Depreciation value each year = 15%
To find:
a. Multiplier
b. Function [tex]f(t)[/tex] to describe the situation.
c. Worth of stock now.
Solution:
a. Depreciation of 15% means the value becomes (100 - 15) % = 85% or 0.85 of the actual value.
Therefore, the multiplier is 0.85.
b.
Every year the value becomes 0.85 times of the actual value.
If it continues for [tex]t[/tex] years, then the values will be:
[tex]f(t) =1000(0.85)^t[/tex]
c. Let us put [tex]t=8 \ years[/tex] to find the worth of stock now.
[tex]\Rightarrow f(8) =1000(0.85)^8\\\Rightarrow \bold{\$272.49}[/tex]
So, the answers are:
a. 0.85
b. [tex]f(t) =1000(0.85)^t[/tex]
c. $272.49
What is the probability that both spinners land on red or orange?
A) 1/9
B) 1/3
C) 4/9
D) 2/9
Answer:
A, the probability is 1/9. you get this because you multiply the probabilities
in this example its 1/3 times 1/3 so you get 1/9
Step-by-step explanation:
solving absolute value equations |x-7|=16
your Answer will be
x=23 or x=−9
A fruit seller has 3 crates of apples. Each crate has 100 apples. If he packed 6 apples in 1 box. Which of these gives the number of such boxes needed to pack all the apples.
100 x 6
300x6
100 divided by 6
300 divided by 6
Answer:
300 divided by 6
Step-by-step explanation:
Given that;
Number of crates of apple owned by fruit seller = 3 crates
Number of apples in each crate = 100 apples
He packed 6 apples in 1 box;
Unknown:
Number of boxes needed to pack all the apples = ?
This problem is pretty straight forward;
Number boxes needed to pack all apples = [tex]\frac{Number of crates owned by fruit seller x number of apples per crate}{Number of apples per box}[/tex]
Input the parameters and solve;
Number of boxes need to pack all apples = [tex]\frac{100 x 3}{6}[/tex] = [tex]\frac{300}{6}[/tex]
So the solution is 300 divided by 6
Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 minutes Ye is 2 miles from home. Which equation models his distance from home y, in terms of minutes, x?
A)y=−0.2x+ 5
B)y=11/7x-27/7
C)y = 11 7 x − 27 7
D) y= 5x− 0.2 y=0.2x
Answer:
y=-0.2x+5. Correct choice: A)
Step-by-step explanation:
Modeling With Equations
Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:
After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)
After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)
A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct
Testing the second point (15,2): y=-0.2*15+5=2. Correct
This is the correct choice.
B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct
Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect
Incorrect choice.
C) This equation is equal to the choice B), thus this one is incorrect.
D) y=5x-0.2. The first point (5,4) yields to:
4=5*5-0.2=24.8 Incorrect.
Choose the slope and y-intercept that
correspond with the graph.
HELPPP!!!!!!
Answer:
Slope:-1/4 y-int: 3
Step-by-step explanation:
You can you the formula y1-y2/x1-x1 or you can look at it and find out if that makes sense
Find the circumference of a roll of tape whose diameter is 5 cm.
Answer:
15.7 cm
Step-by-step explanation:
Circumference= Diameter * Pi
Hence,
Circumference of the circle= 3.14 * 5
=15.7 cm
Answer:
[tex]\huge{\boxed{\sf{15.71 cm}}}[/tex]
Step-by-step explanation:
Given :
diameter ( d ) = 5 cm
radius ( r ) = [tex]\frac{5}{2}[/tex] = 2.5 cm
Finding the circumference of a roll of tape:
Circumference of a circle = 2πr
circumference = [tex]2 * \frac{22}{7} * 2.5[/tex]
circumference = 15.71 cm
Hope I helped!
Best regards :D
~TheAnimeGirl
Write and graph an inequality for the given solution set {n∣n≥−2}
Answer:
Explanation:
An inequality is used to represent unequal expressions or numbers. An inequality with the solution set [tex]n \ge -2[/tex] is: [tex]2n - 6 \ge -10[/tex]
Given that:
[tex]n \ge -2[/tex] --- the solution
To generate an inequality with the above solution, we do the following:
Subtract 3 from both sides of the inequality
[tex]n - 3 \ge -2 - 3[/tex]
[tex]n - 3 \ge -5[/tex]
Several operations can be carried out. The most important thing to note is that, whatever operation is done on the right-hand side of the inequality must be done on the left-hand side.
We can also multiply both sides by 2
[tex]2 \times (n - 3 )\ge -5 \times 2[/tex]
[tex]2n - 6 \ge -10[/tex]
Hence, an inequality with the solution set [tex]n \ge -2[/tex] is:
[tex]2n - 6 \ge -10[/tex]
See attachment for graph
Read more about inequality at:
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i’m confused on #3-5. Please help :)
. Factor this Quadratic. What is it in factored form?
x^2-14x+45
(x-15)(x-3)=0
(x+9)(x+5)=0
(x+15)(x+3)=0
(x-9)(x-5)=0
Chantel counted 48 books on 6 shelves in the library, How many books would she expect to count on 12 shelves.
Answer: 96 books.
Step-by-step explanation:
48x2
Temperature Change In Detroit the temperature is 69F and is rising at a rate of 2F per hour. In Atlanta the temperature is 84F and is falling at a rate of 3F per hour. If the temperatures continue to change at the same rate, how long will it be before the temperatures are the same?
Solve each equation using the Properties of quality. Check your solutions
3. 4a + 3 =11
4. 8 =3r-1
6. 3x + 0.3 =3.3
5. 42=-2d+ 6
8. 9-c= -13
7. 15y + 31 =61
Terms must be like terms in order to _______ or______. Terms do not have to be like if we are ______ or ______.
Answer: Add, subtract, multiply, divide
Step-by-step explanation:
Terms must be like terms in order to add or subtract. Terms do not have to be like if we are multiplying or dividing.
You cant add unlike terms when adding or subtracting, but you can use the exponent rules when multiply or dividing.
+ x = 12 – 2x
what is this?
Answer:
x= -6
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
+x=12 - 2x
(2x goes to the other side)
+x+2x=12
3x=12
3x÷3=12/3
x=4
What are the quotient and remainder of (2x4 + 5x3 – 2x – 8) + (x+3)?
a. 2x3 - x2 + 3x - 11; 1
c. 2x3 - x2 + 3x - 11; 25
b. 2x4 -x + 3x2 - 11; 25
d. 2x3 - x2 + 3x + 11; 25
Answer:
option b ) 2x3 - x2 + 3x - 11; 25
Step-by-step explanation:
I DON'T KNOW HOW TO DO THIS!!
Answer:
m = 10
Step-by-step explanation:
