Answer:
t=40
Step-by-step explanation:
The sum of all angles in a triangle will always equal 180°. This means that:
(2t-42)+(4t-49)+(2t-49) = 180°
Let's solve this equation!
(2t-42)+(4t-49)+(2t-49) = 180
First we simplify what's on the left side:
2t-42+4t-49+2t-49 = 180
2t+4t+2t-42-49-49 = 180
8t-140 = 180
*Add 140 to both sides
8t = 180+140
8t = 320
Divide both sides by 8 to know what t means:
t = 320/8
t = 40
In the number 9,999.999, how does the 9 in the tens place compare to the 9 in the place to its left. The 9 in the tens place represents of what the 9 to its left represents. The 9 in the tens place represents of what the 9 to its left represents. The 9 in the tens place represents 10 times what the 9 to its left represents. The 9 in the tens place represents 100 times what the 9 to its left represents.
The question is not complete as the options are not correct. However, the correct answer is as follows:
Answer:
The correct answer is - the 9 in the tens place represents 1/10 times what the 9 to its left represents.
Step-by-step explanation:
Given:
Number: 9999.999
We know: The tenth value is 9999.999 (in bold) and 9 to its left is underlined which is the 100th value.
Solution:
Place value of 9 on the tenth place
= 9*10= 90 ..... 1
Left place of the tenth is hundredth
Place value of 9 at the hundredth place
=9*100
=900 .... 2
comparing 1 to 2 by dividing
= 90/900
= 1/10th
Variable on both sides
John will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.96 and costs an additional $0.12 per mile driven.
The second plan has an initial fee of $47.96 and costs an additional $0.16 per mile driven. How many miles would John need to drive for the two plans to cost
the same?
II miles
Х
?
So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.
Overall:
1st plan: $58 with driving a 3rd of a mile.
2nd plan: $58 with driving 63 miles.
Can someone help me order the units from least to greatest
Answer:milli,cent, meter , kilo
Step-by-step explanation:
please help!! i’ll mark brainliest!!!!
Answer:
x^2+11x+30
Step-by-step explanation:
please help it is due today at 4:40
Answer: decrease
50% I think this is correct
Step-by-step explanation:
Answer:There was a
66.7
%
d
e
c
r
e
a
s
e
in the number of people.
thats also rounded hope it helps :)
Step-by-step explanation:
Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $5,500 in 8 years?
Answer:
The interest rate is 7.58%
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
A = P[tex]e^{rt}[/tex], where
A is the future value of the investment, including interestP is the principal investment amount (the initial amount)r is the interest rate in decimalt is the time the money is invested for∵ Angus has $3,000 he want to invest
∴ P = 3000
∵ The interest rate is compounded continuously
∵ Angus has $5,500 in 8 years
∴ A = 5500
∴ t = 8
→ Substitute them in the rule above to find r
∵ 5500 = 3000[tex]e^{8r}[/tex]
→ Divide both sides by 3000
∴ [tex]\frac{11}{6}[/tex] = [tex]e^{8r}[/tex]
→ Insert ㏑ in both sides
∵ ㏑( [tex]\frac{11}{6}[/tex] ) = ㏑([tex]e^{8r}[/tex])
→ Remember ㏑([tex]e^{n}[/tex]) = n
∴ ㏑( [tex]\frac{11}{6}[/tex] ) = 8r
→ Divide both sides by 8
∴ 0.07576697545 = r
→ Multiply it by 100% to change it to a percentage
∴ r = 0.07576697545 × 100%
∴ r = 7.576697545 %
→ Round it to the nearest hundredth
∴ r ≅ 7.58
∴ The interest rate is 7.58%
Write this percentage as a fraction in its simplest form.
20%
Answer:
it is 1/5
Step-by-step explanation:
.............
The graph shows the parent function f(x)=0.75x.
answer:
it should be the graph on the top right!
The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The parent function is,
⇒ f(x) = 0.75ˣ + 1
Now,
Since, The parent function is,
⇒ f(x) = 0.75ˣ + 1
Hence, The points on the function are (0, 2) and (1, 1.75).
Thus, The graph of the parent function is given in option 2.
Learn more about the function visit:
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#SPJ2
whats is x2 - x - 12 = 0
Answer:
x = -3 or x = 4
Step-by-step explanation:
[tex]x^2-x-12=0[/tex]
[tex](x+3)(x-4)=0[/tex]
[tex]x + 3 = 0[/tex]
[tex]x = -3[/tex]
[tex]x - 4 = 0[/tex]
[tex]x = 4[/tex]
Answer:
x=-3 or x=4
Step-by-step explanation:
x2−x−12=0
Step 1: Factor left side of equation.
(x+3)(x−4)=0
Step 2: Set factors equal to 0.
x+3=0 or x−4=0
x=−3 or x=4
Which function is most likely graphed on the coordinate plane below?
Help me to do this problem System by sustitution.
4) y = -3x - 7
-6x - 2y = 14
Answer:
The system of equations has infinite solutions
Step-by-step explanation:
∵ y = -3x - 7 ⇒ (1)
∵ -6x - 2y = 14 ⇒ (2)
→ Substitute y in equation (2) by equation (1)
∴ -6x - 2(-3x - 7) = 14
→ Simplify the left side
∵ -6x - 2(-3x) - 2(-7) = 14
∴ -6x + 6x + 14 = 14
→ Add the like terms in the left side
∵ (-6x + 6x) + 14 = 14
∴ 0 + 14 = 14
∴ 14 = 14
∵ The variable is disappeared and the two sides of the equation equal
∴ The equation has many solutions
→ That means x and y can be any numbers
∴ The system of equations has infinite solutions
solve for the variable.
3(2x-4)+6=30
x=___
Answer:
x = 6
Step-by-step explanation:
Use distributive property: a(b + c) = a*b + a*c
3(2x - 4) + 6= 30
3*2x - 3*4 + 6 = 30
6x - 12 + 6 = 30
6x - 6 = 30
6x = 30+ 6
6x = 36
x = 36/6
x = 6
Answer:
x = 6
Step-by-step explanation:
Simplify 3(2x-4) first: 3 (2x) 3(-4) =
6x - 12+6 = 30
Combine like terms: -12 + 6 = -6
6x - 6 = 30
Add 6 to both sides: 6x = 36
Divide both sides by 6: x = 6
CHECK:
3( 2(6) - 4) +6 = 30
3 (12-4) +6 = 30
3(8) +6 = 30
24+ 6 = 30
30 = 30
A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? Explain how you know.
Answer:
0.5
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope =
Let,
Answer:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
PLZ HELP ME WITH THISSSS
PLEASE HELP!! An alien blob started with a mass of 4 kg and is doubling in size every day. How large will the blob be after 2 weeks?
Answer:
56
Step-by-step explanation:
Write 73.654 correct to 1 decimal place.
Jake wanted to measure the width of the pond, so
he drew this diagram of two similar triangles.
What is the approximate width, w, of the pond?
Answer:
C
Step-by-step explanation:
Applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet
Recall:
Similar triangles will have corresponding sides that have proportionate length based on the similar triangle theorem.
The two triangles in the diagram are similar.
Therefore, the ratio of their corresponding sides will be equal (i.e. corresponding side lengths that are proportional).
Thus:
[tex]\frac{5}{w} = \frac{7}{18}[/tex]
Divide both sides by 5[tex]w = \frac{18 \times 5}{7} \\\\w = 12.9[/tex]
Therefore, applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet
Learn more here:
https://brainly.com/question/10269775
.In the coordinate x,y the point x is calledorigin
abscissa
line
y-axis
Answer:
The x coordinate is known as abscissa (B)Step-by-step Explanation:
In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc[tex].[/tex]
Such terms are:
Origin (Intersection of x axis and y-axis.)x - axis (Horizontal line)y - axis (Vertical line)abscisaa (x -coordinate)ordinate (y - coordinate)I need help with the question pls
Answer:
15/8
Step-by-step explanation:
this is the answer because (8,15) make it to a fraction and that is how you get you answer.
Hope this helps:)
Pls mark brainlist
Wyatt bought 12 souvenirs during 3 days of vacation. How many days will Wyatt have to spend on vacation before he will have bought a total of 20 souvenirs? Solve using unit rates
Answer: 5 days
Step-by-step explanation:
12/3=4 souvenirs a day
20/4=5 days
Answer:
Assuming Wyatt buys the same number of souvenirs per day (4), it will take him 5 days to buy 20.
Step-by-step explanation:
12/3 = 4 souvenirs/days
20/4 = 5 days
(3a-2) (3a-2) kindly explain me the steps plus give me solution
Answer:
9a to the power 2 +4 is the answer
Step-by-step explanation:
multiple 3a x 3a u wud get 9a to the power 2
-2 x -2 u wud get = 4
then combine the two and write the answer
Answer:
9a² - 12a + 4
Step-by-step explanation:
Given
(3a - 2)(3a - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3a(3a - 2) - 2(3a - 2) ← distribute both parenthesis
= 9a² - 6a - 6a + 4 ← collect like terms
= 9a² - 12a + 4
It was in Copenhagen and in Oslo. Which city was colder?
Answer:oslo was colder it was -12 and copenhagen was -6
PART A: Which statement below is true?
1. A = H
2. I = C
3. B = G
4. I = A
PART B: Which statement below is true?
1. AC = IH
2. BC = HI
3. GH = BC
4. IG = CB
Answer:
Part A is I = C
&
Part B is BC = HI
Chuck needs to drive 400 miles on the highway.
Gas costs $1.50 per gallon. How much will it cost for
gas to drive his truck 400 miles?
Answer:
$600
Step-by-step explanation:
400*1.5=600
2 Hiroaki says that a constant of proportionality must be a whole number and
cannot be a fraction or a decimal. Explain why Hiroaki is incorrect.
Given:
Hiroaki says that a constant of proportionality must be a whole number and cannot be a fraction or a decimal.
To find:
The explanation, why Hiroaki is incorrect.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
where, k is the constant of proportionality.
It means, the constant of proportionality is the ratio of two directly proportional variables.
So, constant of proportionality can be any real.
Thus, the statement that a constant of proportionality must be a whole number and cannot be a fraction or a decimal is incorrect.
Hence, Hiroaki is incorrect because constant of proportionality can be any real.
Is point (9,7) on line J explain why or why not
Answer:
you need to add the image
Step-by-step explanation:
For which value of a are the graphs of 4 = 3x + 6y and ax – 8y = 12 parallel?
a = -4
O a =
= - 1 / 1
a = 1/2
O
a = 2
Answer: a=-4
Step-by-step explanation:
Which set of data contains two outliers? 113, 115, 103, 114, 109, 111, 119 141, 151, 138, 142, 149, 140, 150 99, 113, 91, 104, 109, 114, 97 101, 135, 131, 99, 138, 136, 140
Answer: 99,113,91,104,109,114,97
Step-by-step explanation:
Got 100% on the quiz :)
Answer:
D: 101, 135, 131, 99, 138, 136, 140
Step-by-step explanation:
edg2021 (do not get this confused with the question: "which set contains no outliers" hope this helps, please mark me brainliest if it does
How do I graph this? Domain: 1 Range: 2
Answer:
You graph them by using the domain as x and the range y.
Step-by-step explanation:
Help will give star and brainlest or what ever is the highest you can give a comment!!!
Answer:
puppies - 22
Step-by-step explanation:
since the ratio is 2:3, there are 5 parts in total. (2+3=5)
55/5=11 then multiply by parts
puppies- 2×11=22
adults- 3×11=33
check answer by adding- 22+33=55
Answer:
22 puppies and 33 adult dogs
Step-by-step explanation:
Total: 55 Dogs
Ratio: 2:3
Puppies : Adults
2 : 3 (1)
20 : 30 (10)
22 : 33 (11)
Answer = 22 puppies