Answer:
Unknown number = 36
Step-by-step explanation:
Equivalent ratio means,
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
If [tex]x_1=2, y_1=9[/tex] and [tex]x_2=8[/tex],
[tex]\frac{2}{9}=\frac{8}{y_2}[/tex]
By cross multiplication,
2 × y₂ = 8 × 9
2y₂ = 72
[tex]\frac{2y_2}{2}=\frac{72}{2}[/tex]
y₂ = 36
Therefore, missing number in the denominator of the fraction will be 36.
Plz help find each circle measure !!!!!
Answer:
for the first one it is
ED= 26
CF= 13
mED= 136
mHD= 68
mCE= dont know this one but the other ones im positive their right
Step-by-step explanation:
9514 1404 393
Answer:
ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°
QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°
Step-by-step explanation:
Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.
__
Circle J
ED = 2×GD = 26
CF = GD = 13
arc ED = arc CD = 136°
arc HD = 1/2 arc CD = 68°
arc CE = 360° - 2×136° = 88°
__
Circle Y
QU = 1/2×ST = 8
QR = ST = 16
arc ST = arc QR = 1/2(360° -34° -98°) = 114°
arc XT = 1/2 arc ST = 57°
a small auditorium can seat 320 people which inequality best represents the number of people who can sit in the auditorium pls help I am in 5th grade I have been stuck on this for a week and two days now I have to finish this this is due tomorrow sorry if I spelled wrong!:)
Answer:
Step-by-step explanation:
Answer is p/320
how is solving an equation with the variable on each side similar to solving a two-step equation? (I’ll give brainliest :) )
Answer:
the first step in solving an equation with a variable on each sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.
Step-by-step explanation:
Work out these approximate conversions. 8 miles=..... km
Answer:
12.87 km
Step-by-step explanation:
searched it up
what’s the length of E to D
what’s the length of B to E
Given:
In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.
To find:
(a) The length of ED.
(b) The length of BE.
Solution:
In triangle ABE and ACD,
BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.
[tex]m\angle ABE=m\angle ACD[/tex] (Corresponding angles)
[tex]m\angle BAE=m\angle CAD[/tex] (Common angle)
Now,
[tex]\Delta ABE\sim \Delta ACD[/tex]
Corresponding sides of similar triangles are proportional.
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]
(a)
[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]
[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]
[tex]0.8=\dfrac{26}{AD}[/tex]
Isolate AD.
[tex]0.8AD=26[/tex]
[tex]AD=\dfrac{26}{0.8}[/tex]
[tex]AD=32.5[/tex]
Now,
[tex]AD=AE+ED[/tex]
[tex]32.5=26+ED[/tex]
[tex]32.5-26=ED[/tex]
[tex]6.5=ED[/tex]
Therefore, the length of ED is 6.5.
(b)
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]
[tex]0.8=\dfrac{BE}{18}[/tex]
Multiply both sides by 18.
[tex]14.4=BE[/tex]
Therefore, the length of BE is 14.4.
Mai is making personal pizzas for a party she uses 10 ounces of cheese to make four pizzas at this rate how much cheese will she need to make 18 pizzas?
Answer: 45
Step-by-step explanation:
From the question, we are informed that Mai is making personal pizzas for a party and that she uses 10 ounces of cheese to make four pizzas. The number of ounce per pizza will be:
= 10/4 = 2.50 ounces per pizza
Therefore, the number of ounces of cheese that will be needed to make 18 pizzas will be:
= 2.50 × 18
= 45 ounces of cheese
The cost before tax for an order of CDs from Music & More store was $214.60. If the store ordered 20 equally priced CDs, and the total shipping and handling fee was $15.00, what was the cost of one CD?
Answer:
Cost of one CD = $9.98
Step-by-step explanation:
Total cost = $214.60
Total shipping and handling fee = $15.00
Number of CDs = 20
Cost of 20 CDs = Total cost - Total shipping and handling fee
= $214.60 - $15.00
= $199.60
Cost of one CD = $199.60 / 20
= $9.98
Cost of one CD = $9.98
Answer:
$9.98
Step-by-step explanation:
took a test and got the question right (this was the answer)
Consider the polynomial 9n2+60n+100.
What are the square roots of the first and last terms?
square root of first term:
square root of last term:
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?
Answer:
4
Step-by-step explanation:
because 25×11= 275 and 500-275 =225
50x4=200
225-200=25 you can buy 4 and 25$ is left over
8. Solve for x:
3x + 8x = 44
A x= 4
B x= 44/11
C x= 11
D x=33
Answer:A
Step-by-step explanation:
just try putting 4 into x and you will see
Which inequality is graphed on the coordinate plane?
Answer:
B
Step-by-step explanation:
The slope is 4/1 which equals 4
the y int is 2
this gives us 4x+2
the line is dotted which mean there is no equal sign with the inequality
The shaded area is above the line, meaning y is greater
pls help with the answer asap thank ypu
Answer:
3(2x+1)+2(x+4)
=6x+3+2x+8
=6x+2x+3+8
=8x+11
What is the answer??
Answer:
I think its lines cause u use lines when you draw
2 times 2 times 9 times 30045
1,081,620
2 x 2 is 4
9 x 30045 is 270,405
so 4 x 270,405 is 1,081,620
Help!!!!!! Find x and y so the quadrilateral is a parallelogram.
Answer:
Conclusion:
The value of x = 7The value of y = 4Step-by-step explanation:
Given
The parallelogram PQRSWe know that the diagonals of a parallelogram bisect each other.
Therefore,
RT = TPGiven RT = x and TP = 5x-28, so
x = 5x-28
5x = x+28
5x-x = 28
4x = 28
divide boh sides by 4
4x/4 = 28/4
x = 7
Thus, the value of x = 7
Similarly,
QT = TS
Given QT = 5y and TS = 2y+12, so
5y = 2y+12
5y-2y = 12
3y = 12
divide both sides by 3
3y/3 = 12/3
y = 4
Thus, the value of y = 4
Conclusion:
The value of x = 7The value of y = 4The number 12 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
2, 3, 4, 6
Step-by-step explanation:
Answer:
2,3,4,6
Step-by-step explanation
12 divided by 2 is 6
12 divided by 3 is 4
12 divided by 4 is 3
12 divided by 6 is 2
It takes Serina .5h to walk to school. Her route is 15km long. What is
her average speed?
Answer: 3km/h
Step-by-step explanation:
15km per 5h, which is 3km per 1h. This is pretty easy. I don't know what you want for her average speed like in unit (e.g 1 hour). If you are asking for the hour unit it is 3km/h
can someone please help me
Help please and thank you!
Does anyone get this?
x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)
Answer:
x= -74 or -84
Step-by-step explanation:
x^2+3x+37=-7x
x^2+3x+7x+37=0
x^2+10x+37=0
this convert to following
[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]
-b= -(10), a= 1, c =37
according to that
x= -74 or x= -84
A triangle has sides with lengths of 5 yards, 12 yards, and 15 yards. Is it a right triangle? PLEASE HELP!
Answer:
The triangle is right angled
Step-by-step explanation:
Explanation:
As the largest side is
15 yards and smaller sides are 9 yards and 12 yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Answer:
no its not
Step-by-step explanation:
i did the same question
Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
Heyy please answer pleaseeeeee help me
Answer:
no solution
Step-by-step explanation:
On a certain hot summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that day?
Answer: 219 children and 72 adults swam at the public pool that day.
Step-by-step explanation:
Let x = Number of children , y= Number of adults.
As per given, x+y = 291 (i)
1.5x+2y = 472.50 (ii)
Multiply 2 on both sides of (i) , we get
2x+2y = 582 (iii)
Eliminate (ii) from (iii), we get
0.5x = 109.5
[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]
Put value of x= 219 in (i)
219+y= 291
⇒ y = 291-219 = 72
Hence, 219 children and 72 adults swam at the public pool that day.
A recipe calls for 2 1/2 cups of flour. The recipe makes 5 servings. How many cups of flour are needed to make 7 servings?
Answer:
Step-by-step explanation:If a recipe calls for 2 1/2 cups of flour and you want to make five times the ... However, measuring flour in cups is far from precise and the dish, pie or cake you ... So for example if your recipe with 2 1/2 cups flour calls for 1 cup water when you make a 5 ... If I used 4 cups of flour, how much of the other ingredients are needed
3/5 ÷ 1/4 – 2/5 ^2 (these are fractions and ^2 this is a exponent)
Answer:
The answer is 7/100
I really need help I dont understand thank you
Answer:
Answer choice B
Step-by-step explanation:
Here is the form you are using:
y=mx +b
Substitute:
y=6x-5
Answer choice B
8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
The height of a boulder falling off a 500 meter cliff can be modeled using a quadratic equation.
Part A: Write the quadratic equation to represent this situation.
Part B: Determine the time it will take the boulder to reach the ground.
Part C: In one paragraph, using your own words, explain your work in Steps A and B.
Answer:
The answer is t=4 s
Step-by-step explanation:
Answer: T=4s
Step-by-step explanation: it is option 2