Answer:
There are 48 boys in the choir
Step-by-step explanation:
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
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The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
triangle ABC is similar to triangle EHG , find the measure of angle EHG .
Answer:
[tex]\angle EHG = 80[/tex]
Step-by-step explanation:
Given
ABC ∼ EHG
See attachment
Required
Determine [tex]\angle EHG[/tex]
First, we calculate x in ABC
[tex]x + 2x + 60= 180[/tex]
[tex]3x + 60= 180[/tex]
[tex]3x = 120[/tex]
[tex]x = 40[/tex]
The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]
and
[tex]\angle ABC = 2x[/tex]
[tex]\angle ABC = 2 * 40[/tex]
[tex]\angle ABC = 80[/tex]
Hence:
[tex]\angle EHG = 80[/tex]
HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.
Answer:
3.8 quarts
Step-by-step explanation:
ORDER
ORDER OF OPERATIONS
21 divided by 3 +4
Answer:
11
Step-by-step explanation:
21/3+4
7+4
11
.......
What is the missing reason in steps 7 and 8 of the proof?
Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =
Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle
Answer:
Step-by-step explanation:
The answer is option B) def of sine in right triangle
Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)
Step-by-step explanation:
<c =90 °
So, Pythagoras theorem can be used,
Hypotenuse ² = base ² + altitude ²
AB²=AC²+BC²
11²=AC²+4²
11²-4²=AC²
121-16=AC²
Root 105=AC
AC=10.2 cm
The length of AC is 10.25 cm
What is pythagorean theorem ?
If ΔABC is a right angle triangle, then
AB² = BC²+AC²
where AB = Hypotenuse, BC & AC are adjacent sides of the right angle
What is the required length of the side ?Given, hypotenuse = AB = 11 cm
One of adjacent sides = BC = 4 cm
We have to find the length of AC.
Using pythagorean theorem,
AB² = BC²+AC²
⇒ AC² = AB² - BC²
⇒ AC² = 11²-4²
⇒ AC² = 121-16
⇒ AC = √105
⇒ AC = 10.25
So the length of AC = 10.25 cm
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H+ ions increase in concentration at lower pH values. Calculate how many more H+ ions there are in a solution at a pH = 2 than in a solution at a pH = 6. Find the concentration of H+ ions at a pH = 2 and at a pH = 6 in Table B. Then divide the concentration of H+ ions at a
pH = 2 by the of H+ ions at a pH = 6. Record your answer in Table C.
What is the concentration of H+ ions at a pH = 2?
mol/L
What is the concentration of H+ ions at a pH = 6?
mol/L
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
Answer:
What is the concentration of H+ ions at a pH = 2?
⇒ 0.01 mol/L
What is the concentration of H+ ions at a pH = 6?
⇒ 0.000001 mol/L
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
⇒ 10,000
Step-by-step explanation:
Answer:
What is the concentration of H+ ions at a pH = 2?
0.01
What is the concentration of H+ ions at a pH = 6?
0.000001
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
10,000
Step-by-step explanation:
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
pls help and explain I will mark you brainliest btw. :)
Step-by-step explanation:
count the number of full boxes
count yhe number of the unfull boxes
then add them together
divide the answer by two
PLEASE HELP AND SHOW YOUR WORK I WILL MARK YOU BRAINLIESt
Step-by-step explanation:
if 9 boxes is 42.75 then 1 box is 4.75 dollars
so 13 boxes would be 13X3.75 which is 61.75$
if 9b=$42.75
1b=x
9bx=$42.75b
x=$42.75b÷9b
x=$4.75
Please help me to solve
✓ C
✓ D
✓ E
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
Please help me I don’t understand this stuff lol
A) 5/3
B) 5/4
C)10/3
D)4/3
Answer:
The answer is 4/3. I hope it's corect and this helps.
Step-by-step explanation:
Answer:
I dunno man
Step-by-step explanation:
Simplify 4х+ 2-
+8-12
О
3х - 2
3х + 4
о
5х – 4
5х + 4
Can someone please help!!! I really need the answer
Answer:
3x - 2
Step-by-step explanation:
[tex]4x + 2 - \frac{ {x}^{2} + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^{2} + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2[/tex]
Please help
1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the
viewing platform as 37º. How far up the tower is the viewing platform?
Answer:
41.4feet
Step-by-step explanation:
Using the SOH CAH TOA identity
Given the following
Distance of Rafael from the tower = 55feet = Adjacent
Angle of elevation = 37degrees
Required
Height of the tower = Opposite
Since Tan theta = opp/adj
Tan 37 = x/55
x = 55tan37
x = 55(0.7536)
x = 41.4
Hence the tower is 41.4feet up the viewing platform
I need help on this pls help meh
Answer:
the missing side T-F is 8. the missing side F-K is 3.
Step-by-step explanation:
hope I helped
Answer:
(SR*ST)+(FK*KL)=66cm²
Step-by-step explanation:
RL=ST+F K
9= 6+x
F K=3
T F=8
Area of this figure= (3*2)+(6*10)
=6+60=66 cm²
Nicholas spent 40% of his savings to pay for a video game that cost him $40. How much money was in his savings to begin with?
Answer:
nah and yall kids stop looking on here to cheat ronnie wilson
Step-by-step explanation:
An accountant rents three notebook computers for temporary workers
to use during tax season. The total rental amount is $2,750. The
accountant makes monthly payments of $1,100.
How many payments does the accountant make?
How much interest does the accountant pay on the rental?
Answer:
possibly $1
Step-by-step explanation:
don’t know how to explain but I hope this helps
Answer:
4454
Step-by-step explanation:
It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.
150+6n+5n
Evaluate the expression to find the cost for a party of 15 people
Answer:
$315
Step-by-step explanation:
Which of the ratios below is equivalent to 8:5?
Answer:
Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...
skracanie ułamków
224/100 =
308/100 =
125/1000=
444\1000 =
Answer:
224/100 = 2 24/100
= 2 6/25
308/100 = 3 8/100
= 3 2/25
125/1000 = ⅛
444/1000 = 111/250
Find the surface
area of 11mm 8mm 22mm
Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.
Step-by-step explanation:
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
If the original square is 3 in by 7 in, but then you enlarge the square to 6 in by 14 in, what percent of the smaller original square's area is the larger square's area?
Answer:
Step-by-step explanation:
100(14(6))/(3(7))
100(84/21)
100(4)
400%
A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?
Answer:
60 gallons
Step-by-step explanation:
144/12 = 12 mi/gal
720/12 = 60
A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.
Answer:
8x units
Step-by-step explanation:
A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.
The Area of a Rectangle is calculated with the formula
Length × Width ( Height)
Area = 56x²y square units
Height = 7xy units
Length =Area of the rectangle/Height of the rectangle
= 56x²y square units/7xy units
= 8x units
A square has a triangular hole in it. What is the area of the figure? 100 in2 92.5 in2 85 in2 70 in2
Answer:
how big is the hole ?
Step-by-step explanation:
i think the answer is B tho
pls give brainliest
Answer:
?
Step-by-step explanation:
Find the area.
4 cm
6 cm
6 cm
square centimeters
Answer:
96cm
Step-by-step explanation:
4cm x 4cm x 6cm = 96scm
Bethany bought a box of markers. She gave 6 to her friend. If Bethany now has 52 markers, how many markers were in the box she bought?
Answer:
58 markers
Step-by-step explanation:
52 + 6 = 58
Answer:
58 markers
Step-by-step explanation:
x-6=52 Set up the problem. "x" represents the number of markers.
+6 +6 Add 6 to both sides to isolate x
x =58
In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24
Answer:
Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.
Step-by-step explanation:
PLS HELP ME FAST FREE 16 POINTS Rectangle PQRS is graphed on a coordinate plane with vertices P(–2, 1), Q(–2, 4), R(–4, 4), and S(–4, 1), as shown below.
Rectangle PQRS is reflected over the y–axis and then translated 2 units to the left. What are the coordinates of P'?
O(1, 0)
O(0, 1)
O(4, 1)
O(–4, –1)
Answer:
Pretty sure it's B!
Step-by-step explanation:
Over the Y axis- (2,1)
To the left two times= (0,1)
Hope this helped!
Answer:
(0,1)
Step-by-step explanation:
Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)