Answer:
Step-by-step explanation:
32 ÷ 4 + ([tex]\frac{1}{2}*16) - 2[/tex] = 8 + (1*8) - 2
= 8 + 8 - 2
= 16 - 2
= 14
Answer:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Step-by-step explanation:
Thirty-eight cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. of these cities, 21 had a professional sports team, 20 had a symphony, 17 had a children's museum, 14 had a professional sports team and a symphony, 10 had a professional sports team and a children's museum, 10 had a symphony and a children's museum, and 6 had all three activities. How many of the cities surveyed had only a professional sports team?
Answer:
3 of the cities surveyed had only a professional sports team.
Step-by-step explanation:
We solve this question treating these as Venn sets.
I am going to say that:
Set A: professional sports team.
Set B: Symphony.
Set C: Children's museum.
We start building from the intersection of these three.
6 had all three activities.
This means that [tex]A \cap B \cap C = 6[/tex]
10 had a symphony and a children's museum,
This means that:
[tex](B \cap C) + (A \cap B \cap C) = 10[/tex]
[tex](B \cap C) + 6 = 10[/tex]
[tex](B \cap C) = 4[/tex]
That is, 4 have only the symphony and children's museum, while 6 have all three.
10 had a professional sports team and a children's museum
[tex](A \cap C) + (A \cap B \cap C) = 10[/tex]
[tex](A \cap C) + 6 = 10[/tex]
[tex](A \cap C) = 4[/tex]
14 had a professional sports team and a symphony
[tex](A \cap B) + (A \cap B \cap C) = 14[/tex]
[tex](A \cap B) + 6 = 14[/tex]
[tex](A \cap B) = 8[/tex]
21 had a professional sports team
This means that:
[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 21[/tex]
In which (A - B - C) represents the cities which had only a sports team. So
[tex](A - B - C) + 8 + 4 + 6 = 21[/tex]
[tex](A - B - C) = 3[/tex]
3 of the cities surveyed had only a professional sports team.
55% of what number is 1100? Which of the following proportions could be used to
solve this problem?
Answer:
1100
55100=1100 x 55100
=1100x
Step-by-step explanation:
Hope it is helpful...
The required value of unknown number a would be 2000.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
WE need to determine 55% of what number is 1100.
Let the unknown number is a. then we get;
55% of a = 1100
55/100 of a = 1100
55/100 x a = 1100
Cross mulitiplication, we get;
55a = 1100 x 100
55a = 110000
Divide by 55, we have;
a = 110000/ 55
a = 10000/ 5
a = 2000
Therefore, the required value of unknown number a would be 2000.
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ5
If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen?
Answer:
area
Step-by-step explanation:
Answer:
area
Step-by-step explanation:
Find the area of the following figure:
Answer:
138
Step-by-step explanation
XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4
The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).
Scale factor = 4
Here, X(3, -4)→4(3, -4)→X'(12, -16)
Y(6, 5)→4(6, 5)→Y'(24, 20)
Z(8, -2)→4(8, -2)→Z'(32, -8)
Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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Jeff wants to save $4000 to buy a used car. He has already saved $850. He plans to save an additional $150 each week. write and solve an equation to represent the number of weeks remaining w until he can afford the car.
Answer:
21 weeks
Step-by-step explanation:
150*21=3150
3150+850=4000
To the nearest 10th, find the measure of the missing side.
Answer:
[tex]x = 30.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To find x, we make use of:
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
In this case, it is:
[tex]cos(36) = \frac{x}{38}[/tex]
Multiply both sides by 38
[tex]38 * cos(36) = \frac{x}{38}*38[/tex]
[tex]38 * cos(36) = x[/tex]
[tex]38 * 0.8090= x[/tex]
[tex]30.742= x[/tex]
[tex]x = 30.742[/tex]
[tex]x = 30.7[/tex] -- approximated
I need help on this asap brainliest to first person
Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠XYZ?
a.15°
b.30°
c.45°
d.75°
Answer:
i think 30° gonna stay the same
Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
Which three side lengths best describe the triangle in the diagram?
Answer:
d. 6cm, 6cm, 6cm
Step-by-step explanation:
each one of the rulers is lined correctly and shows that it is 6 cm
We need a flower garden with a perimeter of 18 feet and an area of 18 square feet.what is the Length and width
Answer:
length is 6feet and width is 3 feet
Step-by-step explanation:
Area of the garden = LW
Perimeter of the garden = 2(L+W)
L is the length
W is the width
Given
Area = 18 square feet
Perimeter = 18feet
Substitute
18 = LW ... 1
18 = 2(L+W)
9 = L+W .... 2
From 2;
L = 9-W
Substitute into 1
18 = (9-W)W
18 = 9W-W²
W²-9W+18 = 0
W²-6W-3W+18 = 0
W(W-6)-3(W-6) = 0
W-3 = 0
W = 3 feet
Since L = 9-W
L = 9-3
L = 6feet
Hence the length is 6feet and width is 3 feet
Translate the expression: Four-fifths of the sum of 4 and y (pls hurry it's timed)
[tex]\frac{4}{5}(4+y)[/tex]
Help
Don’t use for points or I’ll take it back
Answer:
68 degrees
Step-by-step explanation:
2 complementary angles make up a 90 degree angle.
90 degrees - 22 degrees = 68 degrees
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $8. On Saturday, Rob earned $56 babysitting. How much money did he save?
Answer:
$7
Step-by-step explanation:
Recognize our numbers, I always say
14, 8, 56
"For every $14, he saves 8."
14-6=8
"He earned $56 babysitting..."
What times eight can give us 56?
56 divided by 8=7
8x7=56
Hope this helps!
Can I get brainliest please?
wat is the sum of 13.75 and -11.25
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
use the keep change change rule
13.75 - keep
+ - change into minus
-11.25 - change into positive 11.25
To qualify to compete in the doggie high jump finals dogs must jump a certain hight in the semi finals. Maple jumped 2 5/8 inches below the qualifying hight but her friend pink made it to 1 5/6 inches over the qualifying height how much higher was pinks jump compared to maples
Answer: 8/30
Because I left the sink on ran away and left the room
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
Answer:
The percentage change was of 11.73%.
Step-by-step explanation:
The percentage change of the increase is given by the change multiplied by 100 and divided by the initial value.
Price of £8.95 is increased to £10.
Change: 10 - 8.95 = 1.05
Initial price: 8.95
1.05*100/8.95 = 11.73%
The percentage change was of 11.73%.
4x-3y = 12 and 3x+2y =6
Answer:
x = 42/17
y = -12/17
Step-by-step explanation:
4x - 3y = 12
3x + 2y = 6
use the elimination method (definition at the bottom of the page)
multiply both sides of the equation 4x - 3y = 12 by 2
8x - 6y = 24
multiply both sides of the equation 3x + 2y = 6 by 3
9x + 6y = 18
now, add the two equations:
17x = 42
x = 42/17
now, plug this into the equation 3x + 2y = 6
126/17 + 2y = 6
2y = -24/17
y = -12/17
c) 12 x 3 + 9 + (15 - 2) × 3 =
Answer:
Step-by-step explanation:
USE BOMDAS
do multiplication and brackets first
36+9+13X3
=45+39
=84
You are making identical bagel platters using
40 plain bagels, 30 raisin bagels, and 24 blueberry
bagels. What is the greatest number of platters
that you can make if there are no leftover bagels?
63 Avec un octogone
e
E
Dans la figure ci-dessous, ABCD est un carré de côté
12 cm et les segments de même longueur sont codés.
А
В 8.
DN M C
1. Justifier que les triangles API, JBK, ODN et MCL sont
des triangles égaux.
2. Calculer JK puis dire si l'octogone est un
octogone régulier
3. Calculer l'aire Un octogone regulier
de l'octogone
est un polygone à 8 côtés
IJKLMNOP
dont tous les côtés sont
de même longueur.
4.Les diagonales
du carré ABCD se coupent en S.
Construire la figure en vraie grandeur et tracer le
cercle de centre S et de diamètre 12 cm.
5.Le disque de centre S et de diamètre 12 cm a-t-il
une aire supérieure à l'aire de l'octogone? Justifier
la réponse.
D'après DNB Métropole, 2010
Prisen
Answer:
sorry
Step-by-step explanation:
I don't know ........
A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 7?
Give your answer in fraction form.
Answer:
the answer to the question is
Step-by-step explanation:
43/50
Answer: the answer is 43/50
Bart uses 3/12 cup milk to make muffins. Write a fraction that is equivalent to 3/12 pls help out!
Answer:
1/4
Step-by-step explanation:
Brandon buys a radio for $45.09 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary round to the nearest cent
What is the total Brandon pays for the radio?
Answer:
Step-by-step explanation:
tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16
Total cost = $45.09 + $3.16 = $48.25
What is the slope of a line perpendicular to a line which has a slope of -2
Answer:
it is 1/2
Step-by-step explanation:
The product of a lines slope M and the slope K of a perpendicular is -1:
M*K=-1
This implies
K=-1/M
since
M * -1/M=-1
In our example we are given a line of slope M=-2 therefore the slope K of a line to perpendicular to this line is:
M*K=-1
-2*K=-1
K=-1/-2=1/2
PLEASE HELP ASAP!! I WILL MARK BRAINLIEST
You are designing a new
movie complex. There are
14 movie theaters and 3 exits
per theater. The food area has
9 exits. How many exits are
there altogether?
Answer:
51
Step-by-step explanation:
There are 14 movie theaters, and 3 exits each.
You can multiply 14 by 3 to get the number of exits in the movie theaters combined.
Next, the food area has 9, so you add 9 to the 42.
42 + 9 = 51.
Hope this helps!
Answer:
there are 51 exits
Step-by-step explanation:
4/5 divided by 5 1/2
Answer:
8/55
Step-by-step explanation:
4/5 DIVIDED 5 1/2 = 8/55
a punch recipe calls for 3 liters ginger ale, 1.5 liters tropical fruit juice. and 500 milliliters pineapple juice. how much punch will the recipe make?
Answer
189
Step-by-step explanation:
just is
What is 56x92.2÷34x56
Plz help fast
Me give brainliest
Answer:
8504.09411765
Step-by-step explanation:
hope this helps!!!
Answer:
8504.09
Rounded to the nearest tenth is 8505
A movie started at 2:30 PM. and ran for 1 Hour and 45 minutes.What time did the movie end?
Answer:
The movie ended at 4:15 PM
Step-by-step explanation:
=> It started at 2:30, when you add an hour to that it will become 3:30
=> Then you must add the 45 minutes to it
=> so it will be 3:75, however that is not a right answer and it is not logical
=> so you need to add the first 30 minutes which will give you 4:00
=> then add the rest which is 15 minutes
therefore, your answer is 4:15 PM
hope this helps and i hope it is not too confusing :)
Answer:
4:15
Step-by-step explanation:
What is the area of the composite figure?
Answer:
208
Step-by-step explanation:
16x13