Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement of the third angle
Answer:
50°
Step-by-step explanation:
The sum of a triangles' angles is 180°
Now set up an equation:
180 - (10 + 120) = ___
180 - 130 = 50°
The midpoint of UV is (5, -11). The coordinates of one endpoint are U(3,5). Find the coordinates of endpoint V.
The coordinates of endpoint V is (7, -27) if one endpoint is U(3,5) and the midpoint of UV is (5, -11)
Midpoint of a line is a point that divides any line into two equal parts.
The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as:
[tex]M(X, Y)= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
Given the following
midpoint of UV = (5, -11)
U = (3, 5)
Get the other coordinate x2 and y2
Based on the formula above:
[tex]X = \frac{x_1+x_2}{2}\\5=\frac{3+x_2}{2}\\10 = 3 + x_2\\x_2 = 10-3\\x_2 = 7[/tex]
Get the other coordinate x2
[tex]Y = \frac{y_1+y_2}{2}\\-11=\frac{5+y_2}{2}\\-22 = 5 + y_2\\y_2 = -22-5\\y_2 = -27[/tex]
This shows that the coordinates of endpoint V is (7, -27)
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Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?
We need to find the yards of ribbon that Elsa bought with her debit card.
The amount of ribbon that Elsa bought was 31 yards.
Initial amount which is present on the card is [tex]\$15[/tex]
Amount left after spending is [tex]\$12.83[/tex]
Amount spent on ribbon is [tex]15-12.3=\$2.17[/tex]
Converting to cents
[tex]2.17\times 100=217\ \text{cents}[/tex]
Cost of one yard of ribbon is [tex]7\ \text{cents}[/tex]
[tex]1\ \text{yd}=7\ \text{cents}\\\Rightarrow 1\ \text{cent}=\dfrac{1}{7}\ \text{yd}\\\Rightarrow 217\ \text{cents}=\dfrac{217}{7}=31\ \text{yd}[/tex]
The yards of ribbon that Elsa bought is [tex]31\ \text{yards}[/tex].
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Help need help please
WILL GIVE BRAINLIEST
(3x – 14) (2x + 10)
Find the value of x.
Answer:
(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}
3x-2x= 14+10
x=24
How much do $10 pieces of candy cost if 1000 pieces cost $20
Answer:
50 pcs
Step-by-step explanation:
say
1000 pcs / $20
so 50 pcs / $
then
$10 * 50 pcs / $ = 500 pcs
please find value of x and y
Answer:
X=x=−5y/3
y=x=−5y/3
Step-by-step explanation:
2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3
Answer:
x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
Given 2 equal matrices then the corresponding elements in each matrix are equal, then
2x + y = 1 → (1)
x - 3y = 2 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate y
6x + 3y = 3 → (3)
Add (2) and (3) term by term to eliminate y
7x + 0 = 5
7x = 5 ( divide both sides by 7 )
x = [tex]\frac{5}{7}[/tex]
Substitute this value into (1) and evaluate for y
[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )
y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]
A patch of six cans of coffee cost $12 how much would 19 cans of coffee cost
Answer:
$38
Step-by-step explanation:
6 cans is $12
1 can is 12/6 = $2
$2 x 19 = $38
Alternative way:
19/6 = 3 1/6
3 1/6 * 12 = 36 + 2 = 38
If my answer is incorrect, pls correct me!
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-Chetan K
Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
Answer:
C
Step-by-step explanation:
We want to determine the vertex of the quadratic equation:
[tex]\displaystyle y = -x^2 + 2x + 1[/tex]
Recall that the vertex is given by the formulas:
[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -1, b = 2, and c = 1.
Determine the x-coordinate of the vertex:
[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]
To determine the y-coordinate, evaluate the function at x = 1:
[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]
In conclusion, the vertex of the quadratic equation is (1, 2).
Hence, our answer is C.
i need help asap!!! what does x equal??
total of y and five divided by x
Answer:
Do you mean y + 5 ÷ x? If so then the answer is [tex]y + \frac{5}{x}[/tex]
how do you plot a point?
You take a pen or something that can produce writing then poke the paper at a place. That place is now a plotted point with [tex](x,y)[/tex] coordinates in your notebook.
Hope this helps :)
what is -67- blank =0
Answer:
67
Step-by-step explanation:
If you are looking for x, or blank in this case, you add 67 to -67.
this equals 0.
-67+67=0.
Help Y:_,_ X:_,_ / Can someone explain
2(x+9)=38
is x=12 viable or non-viable
Answer:
x = 10, so non-viable.
Explanation:
[tex]2(12+9)=42[/tex]
[tex]2(10+9)=38[/tex]
4x - y/2y +x
------- x=3 y=3
Answer:
B
Step-by-step explanation:
4x - y = 4*3 - 3 = 12 - 3 = 9
2y + x = 2*3 + 3 = 6 + 3 = 9
(4x - y) / (2y + x ) = 9/9 = 1
Solve the following equation:
X+m=p-n for p
Answer:
p = m + n + x
Step-by-step explanation:
x + m = p - n
x + m + n = p
p = m + n + x
how do you write 750 gallons to 14 minutes as a unit rate
Help (Geomotry)question3.
Answer:
8x+11=14x_1
14x_8x=11+1
6x=12
x=12/6
x=2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Find the measure of JL.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given, K is the midpoint of JL. So, JK = KL.
KL = 14x - 1JK = 8x + 11JL = ?________
JL = JK + KL (given that K is the midpoint of JL)
JL = (8x + 11) + (14x - 1)
________
[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]
[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]
Combine 8x and 14x to get 22x.
[tex] \sf \: 22x+11-1 [/tex]
Subtract 1 from 11 to get 10.
[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]
________
Also given that, JK = KL.
So, (8x + 11) = (14x - 1)
⇨ (8x + 11) = (14x - 1)
⇨ 8x + 11 = 14x - 1
⇨ 11 + 1 = 14x - 8x
⇨ 12 = 6x
⇨ x = 12 / 6
⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]
________
Now, value of JL will be,
JL = 22x + 10
Substitute the value of x.
JL = 22(2) + 10
JL = 44 + 10
[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]
⇨ So, the value of JL will be 50 units.
a:b=2:3
b:c= 5:6
Show that a:c=5:9
please help
Convert 6.350 to a fraction
Answer:
[tex]6 \frac{350}{1000}[/tex] Is the answer, if you want it simplified then, [tex]6 \frac{7}{20}[/tex]
Step-by-step explanation:
Answer:
[tex]{ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}[/tex]
Step-by-step explanation:
Hope you got the idea in previous answer.
[tex]6.350 = \frac{6350}{1000} [/tex]
reduce the fraction by 10:
[tex] = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} [/tex]
then reduce it by 5:
[tex] = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} [/tex]
in mixed fraction mode:
[tex] = 6 \frac{7}{20} [/tex]
The temperature at 10 A.M. was -7°F.
By noon, the temperature had
dropped 12°F. By 2 P.M., it had
dropped another 5°F. What was the
temperature at 2 P.M.?
°F
Answer:
-24 degrees F
Step-by-step explanation:
12+7+5
if the temperature kept on dropping, then you would have just added them all up.
how would i write The difference of three times a number and 4 is -19 in a equation?
Hi! I'm happy to help!
To solve this, we first have to understand the terms and the way they arrange the equation.
First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)
We will write this as:
_______-_______= ,because difference means subtraction.
For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.
3n-______=
Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:
3n-4=
Now, we see what is shown after the "is".
We just have -19, so we can insert that here:
3n-4=-19
Now, let's solve (not sure if I need to):
To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:
3n=-15
From here, we need to get rid of the 3 next to the n by dividing both sides by 3:
n=-5
So, we write it as 3n-4=-19, and n=-5.
I hope this was helpful, keep learning! :D
Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?
Answer:
31 yards
Step-by-step explanation:
If she has $12.83 left, that means she spent $2.17 out of the $15
15 - 12.83 = 2.17
One cent is .01 of a dollar
So that would be $0.07 per yard
To find the number of yards, we need to divide the total amount she spent by the price per yard.
2.17 ÷ 0.07 = 31
Which functions have zeroes in their domains? Need help ASAP. please and thank u :))))))
I use a app on my phone called (photòmath) and it helps so much.
For number 8 name the angle vertical to
Answer:
the angle vertical to angle VZY is angle XZW.
hope it helps.stay safe healthy and happy.
It’s buggy but I need help on this question here
Can the sum of two irrational numbers ever be a rational number? Can the quotient of two irrational numbers ever be a rational number
Answer:
Yes and yes
Step-by-step explanation:
Example:
√2, 1 + √2 and 1 - √2 are all irrational.
(1 + √2) + (1 - √2) = 2
The irrational numbers cancel out, leaving you with 1 + 1 = 2, which is rational.
For quotients, we'll use √2 again.
√2/√2 = 1
1 is rational
Write a function g whose graph represents a translation 3 units down followed by a vertical shrink by a factor of 1/3
of the graph of f(x) = x
If a function 'f' is translated by 'k' units down, image function 'g' will be,
g(x) = h(x) - 3If the function 'g' gets shrink by a factor 'm', the new function 'k' will be,
k(x) = [tex]m[g(x)][/tex] where, 0 < m < 1Following these rules image of the function 'f' given in the question will be g(x) = [tex]\frac{1}{3}x-1[/tex]
Function given in the question is,
f(x) = xIf the function f is translated by 3 units down, image function 'h' will be,
h(x) = f(x) -3
h(x) = x - 3
If the image function is vertically shrink by a factor of k, equation of the image function will be,
g(x) = [tex]k[h(x)-3][/tex]
where, k = [tex]\frac{1}{3}[/tex],
g(x) = [tex]\frac{1}{3}}(x-3)[/tex]
= [tex]\frac{1}{3}x-1[/tex]
Therefore, image function will be [tex]g(x)=\frac{1}{3}x-1[/tex].
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1) In the market for apartment housing, the quantity of available apartments is observed to be less than the number of renters who are willing and able to pay the market price of an apartment. In this scenario, the market is said to be _____.(1 point)
A in equilibrium because there is a surplus of apartments on the market
(B) in equilibrium because there is a shortage of apartments on the market
C in disequilibrium because there is a shortage of apartments on the market
D in disequilibrium because there is a surplus of apartments on the market
1) B
2) For a given market, the equilibrium quantity of the good or service will decrease if _____.(1 point)
A demand increases and supply decreases
B demand decreases and supply increases
(C) demand decreases and supply decreases
D demand increases and supply increases
2)C
3) Price Quantity Supplied Quantity Demanded
$10 1,000 2,500
$20 2,000 2,000
$30 3,000 1,500
$40 4,000 1,000
The equilibrium price for this market is _____.
(1 point)
A $10
(B) $20
C $30
D $40
3) B
4) In a given market, the market equilibrium price and quantity are $120 and 5 million units, respectively. At a price of $100, 4.8 million units are supplied, and 5.2 million units are demanded. It can be said that at a price level of $100 there is a _____.(1 point)
A a surplus of 0.4 million units
(B) a shortage of 0.4 million units
C a shortage of 0.2 million units
D a surplus of 0.2 million units
4) B
5)The supply and demand curves for a market are graphed below with price in dollars and quantity in thousands.
Two intersecting lines are graphed. The horizontal axis labeled Quantity goes from 0 to 70 in increments of 10. The vertical axis labeled Price goes from 0 to 50 in increments of 10. A line with a negative slope is labeled D and a line with a positive slope is labeled S. The lines intersect at approximately left parenthesis 33.7 comma 30 right parenthesis. A horizontal dashed line extends from left parenthesis 0 comma 30 right parenthesis to the point of intersection.
Which of the following would result from an increase in the supply curve?
(1 point)
(A) a market equilibrium price less than $30
B a market equilibrium quantity less than $30
C a market equilibrium quantity greater than $30
D a market equilibrium price greater than $30
5) A
5/5 Good job
Answer:
Hey
Step-by-step explanation:
Hey did you find the answers to this? i really need it. im desperate!
1. The market is said to be in disequilibrium because there is a shortage of apartments on the market
2. The equilibrium quantity of the good or service will decrease if demand decreases and supply decreases
3. The equilibrium price for this market is $20
4. It can be said that at a price level of $100 there is a a shortage of 0.4 million units
Equilibrium is the point at which quantity demanded equal quantity supplied
The price at this point is referred to as the equilibrium price.
Above equilibrium, there is a surplus - quantity supplied exceeds quantity demanded. As a result of the surplus, price would fall until equilibrium is reached.
Below equilibrium, there is a shortage - quantity demanded exceeds quantity supplied. As a result of the shortage, price would rise until equilibrium is reached.
A decrease in demand would lead to a leftward shift of the demand curve. As a result, quantity and price decreases. A decrease in supply would lead to a leftward shift of the supply curve. This leads to a decrease in quantity and an increase in price. Taking these two effect together, equilibrium quantity would decrease and there would be an indeterminate effect on equilibrium price
Equilibrium price is $20. This is because this is the price at which quantity demanded exceeds quantity supplied
There is a shortage because quantity supplied is less than quantity demanded
Shortage = 5.2 million - 4.8 million = 0.4 million
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