Answer:
QC - PB = 6
Step-by-step explanation:
Given PQ is parallel to BC then it divides the sides proportionally, that is
[tex]\frac{AP}{AQ}[/tex] = [tex]\frac{PB}{QC}[/tex] = [tex]\frac{15}{24}[/tex] = [tex]\frac{5}{8}[/tex] , then
[tex]\frac{PB}{QC}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
8PB = 5QC → *
Given PB + QC = 26 , then
PB = 26 - QC
Substitute into *
8(26 - QC) = 5QC ← distribute left side
208 - 8QC = 5QC ( subtract 5QC from both sides )
208 - 13QC = 0 ( subtract 208 from both sides )
- 13QC = - 208 ( divide both sides by - 13 )
QC = 16
Thus PB = 26 - QC = 26 - 16 = 10
QC - PB = 16 - 10 = 6
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Answer:
It would be B. Fuction 1 has the larger maximum at (4,1)
Step-by-step explanation:
because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.
You can use a graph to identify the vertex or you can find the minimum or maximum value algebraically by using the formula x = -b / 2a. This formula will give you the x-coordinate of the vertex. Simply replace the x in your original equation with the value of the x-coordinate and then solve for y.
Answer:
It would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.
Step-by-step explanation:
Real Numbers:Question 6
Which of the following numbers is closest to
V90
?
Select one:
12
o 10
30
o 45
Answer:
o45
Step-by-step explanation:
Because 45 is the largest number.
Jack bought a car for $29,000. He sold it for $10,000 3 years later. What is the percentage loss that Jack made?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{65.51\% \: }}}}}[/tex]
Step-by-step explanation:
Given,
Cost price of a car ( CP ) = $ 29,000
Selling price of a car ( SP ) = $ 10,000
Since , SP < CP, there is a loss.
Loss % = ?
First, Finding the loss amount
⇒[tex] \boxed{ \sf{loss = cost \: price \: - selling \: price}}[/tex]
⇒[tex] \sf{loss = 29000 - 10000}[/tex]
⇒[tex] \sf{loss = 19000}[/tex]
Loss amount = Rs 19000
Finding the loss %
[tex] \boxed{ \sf{loss \: percent = \frac{loss}{cost \: price} \times 100\%}}[/tex]
⇒[tex] \sf{loss \: \% \: = \frac{19000}{29000} \times 100\%}[/tex]
⇒[tex] \sf{loss \: \% \: = \: 65.51 \: \%}[/tex]
Loss percent = 65.51 %
Hope I helped!
Best regards!!
What is the vertex of the graph of f(x) = |x-3| + 11?
Answer:
(3,11)
Step-by-step explanation:
we find the vertex of
[tex]g(x)=|x-3|[/tex] which is going to be (x,0)
and we add 11 (movement upward) so the vertex is (x,11)
vertex of g(x)
it is going to be when g(x)=0
and that only happens when x=3
so vertex (3,0)
so vertex of f(x)
(3,11)
if you don't believe i leave you the graph
A factory produces 30,360 bolts in 12 hours. If the same number of bolts are produced each hour, how many bolts does the factory produce in 4 hours? The factory produces blank bolts in 4 hours.
Answer:
10,120
Step-by-step explanation:
What is the approximate value of 8√?
Answer:
B, between 2.8 and 2.9
Step-by-step explanation:
it is exactly 2.828427125
-5 1/4 + -3 how do you solve this problem
Answer:
8 1/4(Decimal:-8:25)
Step-by-step explanation:
simplify:
-51/4 - 3
=8 1/4 (decimal:-8.25)
Answer:
The answer would be 8 1/4
Step-by-step explanation:
-5 1/4 + (-3)
let's start with the whole numbers:
-5 + (-3) = -8 because it's just like adding positives but add a negative sign
so then we just add the -1/4 and you get -8 1/4
*you have to put the second number in parentheses because its how you properly write the equation Ex: -2+8+(-3)+(-1 5/6)=...
* also note that when you add two negatives it becomes a positive!!!
What is the value of y when -5 = y-7/9
Answer:
Y= - [tex]\frac{38}{9}[/tex] or -4.222...
Step-by-step explanation:
-5=y-[tex]\frac{7}{9}[/tex]
y=[tex]\frac{7}{9}[/tex]-5
y= [tex]\frac{7}{9} - \frac{45}{9}[/tex]
y = - [tex]\frac{38}{9}[/tex]
y= about -4.222...
What is the solution to this system of equations?
x+y= 7
x = y + 3
A (5,2)
B (4,3)
C (2,5)
D (11/2, 3/2)
Answer:
A. (5,2)
Step-by-step explanation:
If you go to solve the equation you would first try to get y by itself in the first equation and you would do that by subtracting x on both sides. Then you would have y=7-x and then you would plug the second equation in for the x and get the equation y=7-y-3 because you distribute the negative sign of the x to both the y and 3. Then you combine like terms and get y=4-y and then add the y to both sides and get 2y=4 and then divide both sides by 2 and get y=2. Then you plug in y in the first equation and get x+2=7. Then you subtract 2 from both sides and get x=5.
10 points
Mr. Right spent $64.75 for five light fixtures and $12.50 for four light
switches. Each light fixture cost the same amount. How much did each
light fixture cost? *
Answer:
$12.95
Step-by-step explanation:
Let L represent the cost of a light fixture. The amount Mr. Right paid is ...
5L = $64.75
L = $64.75/5 = $12.95
Each light fixture cost $12.95.
_____
You may notice that the light switches and their cost are irrelevant to the question.
find the sum: 9²+ 10²+11²+.........20².
Answer:
2666Step-by-step explanation:
9² + 10² + 11² + ......... 20² =
= 9² + 10² + 11² + 12² + 13² + 14² + 15² + 16² + 17² + 18² + 19² + 20² =
= 81 +100 +121 +144 +169 +196 +225 +256 +289 +324 +361 +400 =
= 2666
HELP ASAP!!
What is the slope of the line x = 4?
Answer:
no slope
Step-by-step explanation:
plz help me im so stuck
PLSSS HELPP ASAPP and plssssss SHOW UR WORK PLSSS & TYY
if JL=5x+2, find JL
Answer:
62
Step-by-step explanation:
JL = JK + KL
5x + 2 = 3x - 1 + 27 add like terms
5x + 2 = 3x + 26
2x = 24
x = 12
JL = 12 × 5 + 2
JL = 62
the remainder when the polynomial f(x) =2x^3 + px^2 + qx 18 is divided by (x-1) is 10. When it is divided by x+1 the remainder is 12. Find the values of the consonants p and q
Answer:
p = 29 and q = -3
Step-by-step explanation:
Using long division, the remainder when we divide by x − 1 is p+q−16. The remainder when we divide by x + 1 is p−q−20.
Therefore:
p + q − 16 = 10
p − q − 20 = 12
Add the equations together:
2p − 36 = 22
2p = 58
p = 29
Plug into either equation to find q:
q = -3
Find the value of x if C is the midpoint of AB and AC = 5x and BC = 10
Answer:
x = 2
Step-by-step explanation:
AC = BC
5x = 10
x = 2
evaluate the expression
-53
Step-by-step explanation:
[tex] \frac{( { - 8)}^{2} }{5 - 9} - ( - 1)^2 + 4( - 9) \\ = \frac{64}{ - 4} - 1 - 36 \\ = - 16 - 1 - 36 \\ = - 52 - 1 \\ = - 53[/tex]
Jessica wants to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days. Determine a reasonable domain and range for this situation.
Answer:
i believe it should be E
Step-by-step explanation:
domain is x
range is y
since x is the number of days (0-30) the domain would be [0,30]
for y since she is decreasing 40 every two days that would be 15 days x 40 calories which is 600 (on 30th day)
subtract 600 from 2500 = 1900
so the range would be [1900,2500]
A box contains $7.45 in nickels, dimes, and quarters. There are 43 coins in all, and the sum of the numbers of nickels and dimes is 3 less than the number of quarters. How many coins of each kind are there?
Answer:
Number of nickels = 6
Number of dimes = 14
Number of quarters = 23
Step-by-step explanation:
Total number of coins = 43
Let number of nickels = n
Let number of dimes = d
Let number of quarters = q
[tex]n+d+q=43 ...... (1)[/tex]
Money in n nickels = [tex]n \times 0.05[/tex]
Money in d dimes = [tex]d \times 0.10[/tex]
Money in q quarters = [tex]q \times 0.25[/tex]
Total money = $7.45
[tex]0.05n +0.10d+0.25q = 7.45\\\Rightarrow 5n +10d+25q = 745 .... (2)[/tex]
The sum of the numbers of nickels and dimes is 3 less than the number of quarters.
i.e.
[tex]n+d=q-3[/tex]
Let us put the value in (1):
[tex]q-3+q=43\\\Rightarrow 2q= 43+3\\\Rightarrow q =23[/tex]
Putting the value of q in (1) and (2):
n+d = 20 .... (3)
[tex]5n+10d+575 =745\\\Rightarrow 5n+10d =170\\\Rightarrow n+2d =34 .... (4)[/tex]
(4) - (3):
d = 14
Now, from (3):
n = 6
Number of nickels = 6
Number of dimes = 14
Number of quarters = 23
what is the ratio of boys and girls in a classroom of 18 girls and 27 boys
Answer:
2:3Step-by-step explanation:
[tex]18\: girls \\ 27 \:boys\\\\Girls\:: Boys\\18 \: \:\:\:\:\:\:: 27\\\\Use\:3\:to\:divide\:through\\6:9 = 2:3\\[/tex]
Please help me with this probability Questions Pls Explain Thanks
Answer:
I think it's 1/2
Step-by-step explanation:
32+25 is 60 and the total number of students are 50, meaning 10 offer both, and your question says chemistry only so I guess you'll have to subtract the 10 from the 35.
therefore, 25/50= 1/2.
Evaluate the square root of 121.
Answer:
It's 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
divide 121 by 11 then boom, there u go
Which line is perpendicular to y =
[tex] \frac{x}{2} [/tex]
+1
If [tex]y=\frac{x}{2}+1[/tex] then [tex]y_{\perp}=-2x+1[/tex].
The slope in first line is [tex]1/2=0.5[/tex], therefore the slope of perpendicular line must be [tex]-1/0.5=-2[/tex].
Hope this helps.
a student has 5 blouses 4 skirts and 4 sweaters in how many ways can she select an outfit comprising 3 items.
Answer:
80
Step-by-step explanation:
This is a combination question that contains multiple clothing items and to solve such question we multiply the given numbers :
5 × 4 × 4 = 80
Combine Like Terms:
10z + 2z - 2
Answer:
the answer is 12z-2
Step-by-step explanation:
hope it help
Answer:
12z-2
Step-by-step explanation:
We are given the expression:
10z+2z-2
and asked to combine like terms.
First, let’s analyze each term.
10z : has the variable “z”
2z : has the variable “z”
-2 : does not have a variable
The like terms in this expression are the 2 terms with the variable “z”. Add the 2 terms, 10z and 2z.
10z + 2z -2
(10z+2z)-2
(10+2)z-2
(12)z -2
(12z)-2
12z-2
The expression 10z+2z-2 when simplified is 12z-2.
Select the correct answer
Henry used these steps to solve an equation:
Step 1: -3(+ + 2) = 5('* - 7)
Step 2: -3.8 - 6 = 51 - 35
Step 3: -8.3 - 6 = -35
Step 4: - = -29
Step 5: x =
Between which two steps did Henry apply the distributive property?
O
steps 1 and 2
steps 2 and 3
steps 3 and 4
steps 4 and 5
Answer:
Steps 1 and 2
Step-by-step explanation:
Henry applied the distributive property between steps 1 and 2.
The distributive property states that a(b + c) = ab + ac. In step 1, Henry used the distributive property to expand -3(x + 2) and 5(x - 7). This is evident when we rewrite step 1 using the distributive property:
Step 1 (using distributive property):
-3(x + 2) = -3 * x + (-3 * 2) = -3x - 6
5(x - 7) = 5 * x + (5 * -7) = 5x - 35
After applying the distributive property, Henry was able to simplify the equation and move on to step 2. The distributive property is a fundamental property in algebra that helps us expand expressions and make solving equations more manageable. In this case, it allowed Henry to eliminate the parentheses and combine like terms, bringing him closer to solving for the variable x.
Overall, the distributive property played a crucial role in transforming the original equation in step 1 into a simpler form in step 2, enabling Henry to continue solving the equation until he found the value of x in step 5.
To know more about Distributive Property here
https://brainly.com/question/30828647
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Complete Question
Choose the correct answer form the given options :
Select the correct answer
Henry used these steps to solve an equation:
Step 1: -3(x + 2) = 5( x - 7)
Step 2: -3x - 6 = 5x - 35
Step 3: -8x - 6 = -35
Step 4: -8x = -29
Step 5: x = 29/8
Between which two steps did Henry apply the distributive property?
steps 1 and 2
steps 2 and 3
steps 3 and 4
steps 4 and 5
Help anyone this is hard
Answer: Juanita
Step-by-step explanation: The question is referring to ratios of the lemon flavor. Juanita's lemonade is 4:2 and Lydia's is 5:3. 4:2 is a larger ratio than 5:3, so that means that Juanita's recipe has a higher concentration of lemon flavor.
x/w = z/y². solve for y
Answer:
Step-by-step explanation:
We can simplify (cross multiply) to get [tex]xy^2=wz[/tex]
Then we easily simplify to get [tex]y=\sqrt{\frac{wz}{x}},\:y=-\sqrt{\frac{wz}{x}};\quad \:w\ne \:0,\:x\ne \:0[/tex]
Find the coordinates of the midpoint of a segment with the given
endpoints. S (10, 9), P (8,2) *

Answer:
(9,5.5)
Step-by-step explanation:
please help asap!! Thank youu
Answer: Option 2. x≥-78
Step-by-step explanation:
(x/-6)+2≤15
x/-6≤13
x≥-78 ⇔ REMEMBER you need to change the direction of the sign
when you multiply/divide a negative number
Option 2. x≥-78
Hope this helps!! :)
Please let me know if you have any question