Answer:
1
Step-by-step explanation:
Answer:
B. x=8
Step-by-step explanation:
The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.
(12x+8)+(8x+12)=180
Combine like terms. Add all the terms with a variable, then the terms without a variable.
(12x+8x)+(8+12)=180
20x+20=180
Now, solve for x by isolating x. Perform the inverse operation to both sides.
20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.
20x+20=180-20
20x=180-20
20x=160
x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.
20x/20=160/20
x=160/20
x=8
x is equal to 8, and B is the correct answer.
Isaak is writing an explicit formula to represent the sequence.
64, 112, 196, 343,...
What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest
hundredth.
O 0.75
1.75
58
279
Answer:
r = 1.75
Step-by-step explanation:
The common ratio r is found by dividing a term in the sequence by the previous term, that is
112 ÷ 64 = 1.75
196 ÷ 112 = 1.75
343 ÷ 196 = 1.75
The common ratio r = 1.75
Answer:
B
Step-by-step explanation:
Choose which one you believe doesn't belong, then explain the reason why you chose your answer above! ( thank you :) )
1. 5, 9, 13, 17, 21...
2. 5, 15, 45, 135, 405...
3. 5, 2, -1, -4, -7...
4. 10, 13, 16, 19, 22...
Answer:
2
Step-by-step explanation:
1,3,4 are arithmetic sequences
2 is a geometric sequence
Answer:
number 2
Step-by-step explanation:
i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps
A recipe calls for 2/3 cup of milk. If you make 3 1/2 times the recipe, how much milk do you need? Please help!! From, Kweenie.
Answer:
1 time = 2/3 cups
3 1/2 times = 2/3 × 3 1/2
= 7/3 cups of milk
Answer:
2 1/3 cups
Step-by-step explanation:
2/3 x 3.5 = 2.33333
what that answer to 21×-5
Answer: -105
Step-by-step explanation:
21 times -5 will be -105
Mrs. Burgess, Mrs. Curry, Ms. Davis and Mrs.
Stowers went to lunch this weekend. The lunch
total was $81.20. How much does each person
owe if they split it evenly?
Answer:
$20.30
Step-by-step explanation:
There are 4 people so 81.20/4 = 20.30
Answer: $20.30
Step-by-step explanation:
There are 4 people and so you need to divide the cost by the amount of people to see what each person owes
Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed
8x/7=8
X=?
Answer:
Step-by-step explanation:
[tex]\frac{8x}{7}=8[/tex]
Multiply both sides by 7
[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]
x = 7
Answer:
-The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]\frac{8x}{7} = 8[/tex]
-Multiply both sides by the denominator, which is [tex]7[/tex]:
[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]
[tex]8x = 56[/tex]
-Divide both sides by 8:
[tex]\frac{8x}{8} = \frac{56}{8}[/tex]
[tex]x = 7[/tex]
So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].
A meteorologist forecasts the temperature is going to change -1 1/2 degrees per hour from 11:00 P.M. to 7:00 A.M. what is the total expected temperature change over the time period?
Answer: -12 degrees
Step-by-step explanation:
11:00 p.m. to 7:00 a.m. is 8 hours
-1 1/2 * 8 = -12
if ABC~DEF and the perimeter of ABC is 4 times greater than the
perimeter of DEF, what is the relationship between the areas of the
triangles?
Answer:
The area of triangle ABC is 16 times larger than the area of triangle DEF
Step-by-step explanation:
Step 1: Re-state the input
Given two triangles ABC and DEF are similar with ratio k.
Step 2: Derive the information
Suppose that the triangle ABC is k times larger than triangle DEF.
=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.
For example:
AB = k x DE
AC = k x DF
BC = k x EF
=> AB + AC + BC = k x (DE + DF + EF)
=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF
Step 3: Solve the problem step-by-step
Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.
As the above assumption states:
AH = k x DH'
BC = k x EF
Multiply both sides of the two above equations:
=> AH x BC = DH x EF x k x k
Simplify k components:
=> AH x BC = DH x EF x k^2
Multiply (1/2) to both sides:
=> (1/2) x AH x BC = (1/2) x DH x EF x k^2
Apply the formula to calculate the area of a triangle:
=> Area of triangle ABC = Area of triangle DEF x k^2
In other words:
The area of triangle ABC is (k^2) times larger than area of triangle DEK.
Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4
Step 4: Make the conclusion
=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.
Hope this helps!
:)
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
Answer:
A
Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.
Answer:
A. 3 red squares to 6 green squares.
Step-by-step explanation:
We have 15 red squares for 30 green squares. The ratio is:
[tex]$\frac{15}{30} $[/tex]
Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides [tex]$\frac{3}{6}$[/tex] , other examples:
[tex]$\frac{1}{2} $[/tex]
[tex]$\frac{5}{10} $[/tex]
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
2 units
4 units
8 units
16 units
Answer:
the answer is b, 4 units
Answer:
4
Step-by-step explanation:
quatro
Simplify the radical of that
Answer:
9 sqrt(d^6) thus d)
Step-by-step explanation:
someone pls help mee
Answer:
-1/2
Step-by-step explanation:
The formula for slope is: y1-y2/x1-x2
The points given are: (x coordinate, y coordinate)
In the formula,
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
This said, we can plug our points in.
5-(-1)/-3-9
Simplify.
5+1/-12
6/-12
Divide both the numerator and denominator by -6.
-1/2
A cake recipe calls for 40 milliliters of water for every 20 milliliters of cooking
oil. How many milliliters of water are needed if 50 milliliters of cooking oil
were used?
O A) 25 ml
OB) 100 ml
O C) 200 ml
OD 1,000 ml
Answer:
B
Step-by-step explanation:
20x2 is 40, so 50x2 is 100
Answer:
BBBBBBBBBBBBBBBB
Step-by-step explanation:
Sara went on a diet and reduced her daily calories from 2,000 to 1,400. By what percent did she reduce her daily calories?
Answer: 30%
Step-by-step explanation:
Difference is (2000 - 1400) = 600
%age reduction 600/2000 x 100 = 30%
Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work.
Answer:
The rent is the same when 2 months have passed.
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
Step-by-step explanation:
Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.
The Resort complex:
[tex]c_{resort}(t) = 600 + 950*t[/tex]
The Uptown Suites Duplex:
[tex]c_{uptown}(t) = 300 + 1100*t[/tex]
To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:
[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]
The rent is the same when 2 months have passed.
If she intends to live in them for 6 months, the cost of each are:
[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]
[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
8x−3=−19+6x
8
x
−
3
=
−
19
+
6
x
x=−8
x=8
x=11
x=−11
Answer:
Solve each equation for x. 1) x – 15 = 24 => x = 39 2) 18 = −6 + x => x = 24 3) 19 — X = 8 => x = 11 4) x – 22 = 24 => x = 46 5) 24 — X = 17 => x = 7 6) 16 — X = 3 ...
Step-by-step explanation:
Can someone help me with this.?
Answer:
Below.
Step-by-step explanation:
To find the answer, you have to compare the two equations:
[tex]y=\frac{1}{10}x+60[/tex] and [tex]y=\frac{1}{5}[/tex]
So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.
The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.
(01.01 LC)
Evaluate the expression
5/7 - 4)2 + 3 + 11.
Answer:
Step-by-step explanation:
[tex](\frac{5}{7}-4)2+3+11=(\frac{5}{7}-\frac{4*7}{7})2+3+11\\\\=(\frac{5}{7}-\frac{28}{7})2+3+11\\\\=(\frac{-23}{7})2+3+11\\\\=\frac{-46}{7}+3+11\\\\=\frac{-46}{7}+14\\\\=\frac{-46}{7}+\frac{14*7}{1*7}\\\\=\frac{-46}{7}+\frac{98}{7}\\\\=\frac{-46+98}{7}\\\\=\frac{52}{7}\\\\=7\frac{3}{7}[/tex]
If it doesnt work please just tell me :)
Answer:
33units^2 is the answer
Step-by-step explanation:
2 - (7/8 - 3/4) /'s are fractions
Answer:
[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]
Answer:
Brainliest here!
Step-by-step explanation:
2- (7/8 -6/8) = 2-1/8
simplify = 1 7/8 or 15/8
Plz help ASAP will give brainliest!!!
Answer:
20
Step-by-step explanation:
1.75 x 6 = 10.5
10.5 + 9.5 = 20
Answer:
20 is the answer im 100% sure ask me for a picture if u want my work shown
Step-by-step explanation:
A shelf has four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt. You randomly choose one shirt from the shelves. Find the probability of choosing a red shirt. Give your answer as a percent (ex. 32%)
Answer:
20 %
Step-by-step explanation:
four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts
P(red) = number of red shirts / total
= 2/10
= 1/5
=20 %
Answer:
10%
Step-by-step explanation:
4 blue
2 green
2 gray
1 white
1 red
4 + 2 + 2 + 1 + 1 = 10
each t-shirt = 10 percent
so 1 red t-shirt = 10%
A cone has a radius of 9 cm and a height of 10 cm . The volume of the cone is___ π cm3 .
10.1 Populations and Samples
1. A company uses a computer to identify their 600 most loyal customers
from its database and then surveys those customers to find out how
10.2 Making Inferences from a Random Sample
2. A university has 30,330 students. In a random sample of 270 students,
18 speak three or more languages. Predict the number of students
at the university who speak three or more languages.
10.3 Generating Random Samples
A store receives a shipment of 5,000 MP3 players. In a previous shipment
numbers 1 through 300 represent defective MP3 players, and the numbers
numbers to simulate a random sample of this shipment. The clerk lets the
301 through 5,000 represent working MP3 players. The results are given.
13 2,195 3,873 525 900 167 1,094 1,472 7095,000
they like their service. Identify the population and determine whether
of 5,000 MP3 players, 300 were defective. A store clerk generates random
3. Based on the sample, how many of the MP3 players might the clerk
4. Can the manufacturer assume the prediction is valid? Explain.
5. How can you use random samples to solve real-world problems?
the sample is random or biased,
predict would be defective?
ESSENTIAL QUESTION
I think you can multiply how many are defective in a sample by how much more stuff there is
Answer:
I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.
Step-by-step explanation:
1.(Please,I cannot understand it .I think it is incomplete.)
2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.
3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.
4.No, the manufacturer cannot assume the prediction is valid.
The sample size of 10 is too small compared to the size of the shipment.
5.You can use random samples by using them for graphs which numbers are too big.
What is the surface area of the prism, in square centimeters?
Answer:
1/2 x 6 x 4 x 10 = 120
Step-by-step explanation:
area of triangle x extended length
What is the volume of a triangular prism 5m 13m 6m
Answer: 195
Step-by-step explanation: 5*13*6=390
390/2=195
Answer:
195
Step-by-step explanation:
PLEASE HELP ME!....Check all that are possible units for measuring time in the metric system. A. Millisecond B. Hour C. Second D. Meter
Answer: A
Step-by-step explanation:
Took the test
Hello, this is the owner sister, but can you please help me?b Please dont remove this for silly things
The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One
Answer:
Zero
Step-by-step explanation:
Option C is correct, there are Infinitely many solutions are there to the system of equations.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The two lines are parallel, they have the same slope, which means that m is the same for both equations.
Therefore, the system of equations can be simplified to:
y = mx + b₁
y = mx + b₂
Subtracting the two equations, we get:
0 = b₁ - b₂
This means that the y-intercepts of the two lines are equal.
The two lines coincide with each other, and there are infinitely many solutions to the system of equations.
Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ7
Can someone help me on these two questions?
Answer:
So to find ratio for questions like these we do x/y
So the ratio for the first one is 5/7
The ratio for the second is 12/7 or 1 5/7
Step-by-step explanation: