[tex] \large \mathfrak{Solution : }[/tex]
let's solve for t :
6t - 9 + 8 = 7 + 2(t - 1)6t - 1 = 7 + 2t - 2 6t - 2t = 5 + 14t = 6t = 6 ÷ 4t = 3/2 or 1.5Answer:
t = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
(6t - 9) + 8 = 7 + 2(t - 1) ← distribute parenthesis on both sides
6t - 9 + 8 = 7 + 2t - 2 , that is
6t - 1 = 5 + 2t ( subtract 2t from both sides )
4t - 1 = 5 ( add 1 to both sides )
4t = 6 ( divide both sides by 4 )
t = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
Write the standard form of the equation of the line through the pair of points (6,3) and (-7,7)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.A number increased by 10 is 32. How would I write that as an equation?
Answer:
4.
Step-by-step explanation:
Remember that “of” means multiplication, so from your question we infer the following equation:
(1/2)x + 10 = 12
First, subtract 10 from both sides:
(1/2)x = 2
Multiply both sides by 2 to eliminate the fraction:
x = 4
Now substitute for x in the original equation to prove this:
(1/2)x + 10 = 12
x = 4
(1/2)4 + 10 = 12
4/2 + 10 = 12
2 + 10 = 12
12 = 12
So the number, x, is 4.
it is an example of your question.
please mark me brainliestSolve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°
In a triangle, the measures of the three angles are x, X-29, and x + 26. What is the measure of each angle?
Please find attached photograph for your answer. Hope it helps. Please do comment.
The US consumes an average of 5.49 million metric tons of bananas per year. There are 313 million people in the US and there are 1000 kg in 1 metric ton. Round answer (except last one) to three significant digits. 365 days in a year. (1848576 with 3 SD's become 1850000= 1.85E6) How many kilogram of bananas are consumed per person in a year?
Answer:
17.7 kg hope this helps
for the function f(x) = 2x-5 find.
a. f(2)
b. f(0)
c. f(-3)
Answer:
a. f(2) :
[tex]f(x) = 2x - 5 \\ f(2) = 2(2) - 5 \\ f(2) = 4 - 5 \\ f(2) = - 1[/tex]
b. f(0) :
[tex]f(x) = 2x - 5 \\ f(0) = 2(0) - 5 \\ f(0) = - 5[/tex]
c. f(-3) :
[tex]f(x) = 2x - 5 \\ f( - 3) = 2( - 3) - 5 \\ = - 6 - 5 \\ = - 11[/tex]
Solve for x on the diagram below.
So here,
x°+100°+( x+12)°= 180°(being in a straight line)
2x° + 112°=180°
2x°=180-112°
x=68/2
x=34°
draw 3 1/4 as a picture
josh and karl are 119 miles apart, traveling towards each other. If Victoria travels 12 mph and Alejandra travels 5 mph how long until they meet?
Answer:
v1+v2= 12+5= 17
T= s : (v1+v2)=119: 17= 7
Step-by-step explanation:
Help plz asap answer first gets. Brainliest
Answer:
1. [tex]\frac{3}{20}[/tex] 5. [tex]\frac{3}{14}[/tex] 9.[tex]\frac{14}{15}[/tex]
2. [tex]\frac{55}{4}[/tex] 6.[tex]\frac{11}{10}[/tex] 10.[tex]\frac{19}{6}[/tex]
3. [tex]\frac{7}{6}[/tex] 7. [tex]\frac{22}{15}[/tex] 11. [tex]\frac{47}{24}[/tex]
4.[tex]\frac{17}{12}[/tex] 8. [tex]\frac{16}{21}[/tex] 12. [tex]\frac{19}{42}[/tex]
hope this helps!
Find a+b, 2a+3b,|a|, and |a-b|. a=3i-5j+3k, b=2j-k
Which property is illustrated by the following ?
if -28 = q, then q = -28
Answer:
commutative property
Step-by-step explanation:
commutative property is when you can flip any equation and you will get the same answer. hope this helps
Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?
Answer:
5
Step-by-step explanation:
2 books at home
2 more books from the library
1 more book he bought
2 + 2 + 1 = 4 + 1 = 5
Answer: 5
What is the product of 7 x 106?
WILL MARK BRAINLIEST 10 PTS!!!
Answer: cant see
Step-by-step explanation:
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression
3.(2.8) + 7
Answer:
(3-2)-8+7 is the answer do fast fast
Which of the following is an even unction?
Answer:
f(x) = |x|
Step-by-step explanation:
because f (–x) = f (x), so all of the signs are the same), then the function is even.
what is prime number
Answer:
a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).
i will mark u brainliest please help
Answer:
30+(2x+7)+63=180(sum of angles of triangle )
30+2x+7+63=180
2x+100=180
2x=180-100
x=80/2
x=40
Answer:
[tex]\boxed {\boxed {\sf (2x+7)+30+63= 180}}[/tex]
[tex]\boxed {\boxed {\sf x=40}}[/tex]
Step-by-step explanation:
We are asked to write an equation to solve for x and use the equation to find x.
We know that the angles in a triangle must add to 180 degrees. Therefore, the sum of the three angles in this triangle: 30, 63, and (2x+7) must equal 180. We can set up an equation.
[tex](2x+7)+ 30 +63= 180[/tex]
Now we can use the equation to solve for x. First, we combine like terms on the left side of the equation. The 3 terms without variables or constants can be added.
[tex]2x+ (7+30+63)= 180[/tex]
[tex]2x+ (100)= 180[/tex]
We are solving for x, so we must isolate the variable. 100 is being added to 2x. The inverse operation of addition is subtraction. Subtract 100 from both sides of the equation.
[tex]2x+100-100= 180-100 \\2x=180 -100 \\2x=80[/tex]
x is being multiplied by 2. The inverse operation of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac {2x}{2}= \frac{80}{2}[/tex]
[tex]x= \frac {80}{2} \ \\[/tex]
[tex]x=40[/tex]
The equation is (2x+7)+ 30+63= 180 and x is equal to 40.
Josie has $147 left on her checking account she writes a check for $56 and then gets paid $225 what is the balance in her checking account now?
Answer:
A
digit to ghzhzjujzj hazing
Step-by-step explanation:
Joslin uphill to
Gun giddy
What is -1/2 (-5/6 + 1/3)?
Answer:
-1/2 (-5/6 + 1/3)?
.25
1/4
When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes. What is the constant of proportionality for this relationship?
your answer would be 1.5
Answer:
The constant of the proportionality for this relationship is tablespoons and chocolate and cups of syrup.
Step-by-step explanation:
help please will mark brainliest
Step-by-step explanation:
option number B.......
Answer:
A) Translating 20 units right
Step-by-step explanation:
The triangle is in the same orientation as it would be on the other side of n. It would be translated 20 units instead of 10 because you reflected the triangle twice so you would need to multiply 10 by 2. The 10 also represents the triangle only being reflected once. It would be to the right because the triangle moved to the right.
At Chase Bank, you earned $50 in interest last year. If the interest rate is 4.5% and
your money was in the account for one year, what was your principal deposit, rounded to
the nearest dollar?
Answer:
$1,111
Step-by-step explanation:
Let x = principal amount
x multiplied by 1.045 will equal the final amount
Since 50 was earned, x + 50 will also equal the final amount
1.045x = x + 50
Let's move the x terms to left side by subtracting both sides by x
1.045x = x + 50
- x - x
0.045x = 50
Divide both sides by 0.045 to isolate the x variable
0.045x/50 = 50/50
x = 1,111.111111111
plzzzz I need help
Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9
Geometric terms are terms used for describing geometric objects
The correct responses for the geometric term modeled by each object are as follows:
16. The geometric term modelled by the tip of the needle is a point
17. The figure modelled by he rail track are lines including; Parallel lines and intersecting lines
18. The figure modelled by the cloth is a plane with points
19. A table cloth models a plane
20. A partially opened newspaper models an angle, and two planes intersecting
21. Woven threads in a piece of cloth models intersecting lines
22.A knot in a string models a point on a line
Required:
To draw and model a figure for each relationship
Solution:
23. The required drawing of the model of line AB intersecting at Q and W is attached
24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached
25. The required drawing of the model of point Z(4, 2), R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached
26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]
The required drawing is attached
Learn more about geometric terms here:
https://brainly.com/question/7490312
Elliot invests 15000 in an investment certificate that pays 2% compounded annually. How much interest will he have earned in 2 years?
$15300
Second year:$15606
Step-by-step explanation:First year:300 is 2% of 15000, so we add that. The result we have is $15300.
Second year:306 is 2% of 15300, so we add that to the original value. The result is $15606.
Side note:
All you need to know is the Interest Rate Formula: [tex]p(1+r/100)^n[/tex]. By the way, that's the simple compound interest rate formula. The simple interest rate formula is [tex]p+(r/100)^n[/tex].
h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?
Other answer formats are possible.
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Explanation:
Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.
What we'd do is two things
Subtract 54 from both sides Divide by 10So the steps look like this
h = 54 + 10a
h-54 = 10a
(h-54)/10 = a
a = (h-54)/10
Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.
That means the equation h = 54+ca solves to a = (h-54)/c
---------------------------
Why did I do those examples? To build up to the equation your teacher gave you.
Let's replace c with 0.5t^2
This is because 1/2 = 0.5
The 1/2at^2 is the same as (1/2t^2)a
So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)
As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.
Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)
---------------------------
Here's another way to solve:
h = 54 + (1/2)at^2
h-54 = (1/2)at^2
2(h-54) = at^2
2h-108 = at^2
(2h-108)/(t^2) = a
a = (2h-108)/(t^2)
In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.
Two angles are complementary. One angle measures 32 degrees more than the other angle. Find the measure of the LARGER angle
[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =90\ \text{and} \ \beta =\alpha +32\text{\ then}\\\\\alpha +\alpha +32=90\\\\\Longrightarrow 2\alpha =90-32\\\\\Longrightarrow \alpha =\frac{58}{2} =29\\\\\therefore \beta =29+32=61\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 61\ degrees}}\end{array}[/tex]
Write a related addition equation for the subtraction equation.
12 – 7 = 5
A related addition equation is
Answer:
-7+12 will also give u 5 with a positive sign
23.75 divided by 9.50
Answer:
2.5
Step-by-step explanation:
please mark brainliest
What could I say for this question anybody who answers this gets brainlist
Answer ASAP!