Answer:
y=4x+12
Step-by-step explanation:
h(t)=(49+4.9t)(10-t) solve for t
Answer:
t = ±10
Step-by-step explanation:
after using the FOIL method you have the following:
490 + 49t - 49t - 4.9t²
middle two terms zero out
h(t)= -4.9t² + 490
if you multiply by -10 you can get perfect squares
h(t) = 49t² - 4900 which has two factors: (7t + 70)(7t - 70)
now set each factor equal to zero and solve:
7t + 70 = 0
7t = -70
t = -10
7t - 70 = 0
7t = 70
t = 10
Please correct answer
Answer:
14.333 yards
516 inches
Answer:
3) 43 ft = 14.33 yards and 516 inches.
Step-by-step explanation:
43 ft = ? yards
Divide 43 by 3: 43 ÷ 3 = 14.33 yards
43 ft = ? inches
Multiply 43 by 12: 43 × 12 = 516 inches
64
4+4x U
K
36
27
72
T
96
L
Find the value of x.
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
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The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
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A soda company conducted a taste test for three different kinds of soda that it makes.
It surveyed 200 people in each age group about their favorite flavor and the results are shown in
the table below.
Age
Soda A Soda B Soda C
Under 20
30
44
126
20 to 39
67
75
58
40 to 59
88
78
34
60 and over
141
49
10
10.
What is the probability that a participant chose Soda C or was under 20 years old?
Rounded to the nearest tenth
35.2%
37.8%
52.5%
50%
Answer:
Step-by-step explanation:
35percent was yonger
find x pls help lol
Answer:
x=6
Step-by-step explanation:
x is the geometric mean of 3 and 12.
3 · 12 = x²
x=6
A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?
Answer:
48 pieces are cut.
Step-by-step explanation:
1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.
A pair of sneakers which normally cost $120 is on sale for $78. What is the percent markdown(percent decrease)?
Answer:If the original price was $120 and it dropped down to 78 the Mark down price percentage will be 53.85%
Step-by-step explanation:
2 to the power of =32
I need it to day
Lola has a total of 45 beads. Some are black and some are white. The ratio of the number of black beads to the number of white beads is 7:2. How many more black beads little white beads are there?
Answer:
The answer is 35:10
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Add the parts of the ratio to get the whole (7 + 2). Divide the total number of beads and the sum of the ratio to find out how many times you'll multiply (45 ÷ 9). Use the ratio to multiply by 5 (5 • 7) and (5 • 2).
There are 35 black beads and 10 white beads.
So, there are 25 more black beads than white beads.
The manager at a restaurant found that the cost to produce 150 cups of coffee is $21, while the cost to produce 300 cups of coffee is $36. assume the relationship between the cost y to produce x cups of coffee is linear.
a.) write a linear equation that expresses the cost,y, in terms of the number of cups of coffee,x.
b.) how many cups of coffee are produced if the cost of production is $56?
Answer:
[tex]y = \frac{1}{10}x + 6[/tex]
500 cups cost $56
Step-by-step explanation:
Given
[tex]x = cups[/tex]
[tex]y = cost[/tex]
[tex](x_1,y_1) = (150,21)[/tex]
[tex](x_2,y_2) = (300,36)[/tex]
Solving (a): Linear Equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute right values
[tex]m = \frac{36 - 21}{300- 150}[/tex]
[tex]m = \frac{15}{150}[/tex]
[tex]m = \frac{1}{10}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (150,21)[/tex]
[tex]m = \frac{1}{10}[/tex]
This gives:
[tex]y = \frac{1}{10}(x - 150) + 21[/tex]
Open bracket
[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]
[tex]y = \frac{1}{10}x - 15 + 21[/tex]
[tex]y = \frac{1}{10}x + 6[/tex]
Solving (b): Cups of coffees for $56
Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]
[tex]56 = \frac{1}{10}x + 6[/tex]
Subtract 6 from both sides
[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]
[tex]50 = \frac{1}{10}x[/tex]
Multiply both sides by 10
[tex]10 * 50 = \frac{1}{10}x * 10[/tex]
[tex]10 * 50 = x[/tex]
[tex]500 = x[/tex]
[tex]x = 500[/tex]
Hence: 500 cups cost $56
3(8 + 6y) in English Phrases
Answer:
3(8+6y)
Step-by-step explanation
multiple 3 x8
then 3 x 6y
your answer is 24+18y
If you make $450 a month but 15% is withheld from each paycheck for social security and taxes, how much will your take home be over the course of a year?
Answer: 15% of 450 is 67.5
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
hhrhrhrrhrheheejjeeje
Suppose we are writing a calculation to the right of 72,000 ÷ 3,000 Which expression has a quotient of 24? Be prepared to explain your reasoning.
A - 72,000 ÷ 30,000
B - 720,000 ÷ 300,000
C - 720,000 ÷ 30,000
D - 720,000 ÷ 3,000
Answer: You’ve probably found the answer but it’s C.
Step-by-step explanation:
a factory has 8 more than 10 times as many doors as a school which has s doors. how many doors does the factory have
Answer: 80
Step-by-step explanation:
8 times more than ten is 80
Find the minimum value of
C = 6x + 7y
a spider spins a web in the following way it starts at sea level (0)
it moves up one inch in the first minute
it moves down two inches in the second minute
it moves up three inches in the third minute
it moves down four inches in the fourth minute
Assuming that the pattern continues, what will the spiders elevation be after an haour has passed?
Answer:
Step-by-step explanation:
It took Darlene 5 weeks to write 15 chapters of a book. How many weeks did it take to write 6 chapters?
Answer:
2
Step-by-step explanation:
5 weeks divded by 15 chapters times 6 chapters = 2 weeks
which of the following is the smallest prime number greater than200?
Answer:
100 or it is 300........
Step-by-step explanation:
................
I need help with this if you get it right I will mark you
1)carla tiene 628 galletitas para preparar una torta, cada piso tendra 24 galletitas¿cuantos pisos puede armar?,¿le sobran galletitas o le alcanza justo?
POR FAVOR ES PARA HOY
Answer:
puede hacer 26 pisos y le sobran 4 galletas
I don't understand please help
Answer:
Step-by-step explanation:
the average rate of change is the same as
the slope of a line m = (y2-y1)/(x2-x1)
to find if is positive of negative look at the line between the years given (for example between 1930 and 1940)
if from left to right the line goes downward the rate of change is negative
if from left to right the line goes upward the rate of change is positive
Need help with math points and brainlest
Answer:
Step-by-step explanation:
Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Given:
The polynomial is
[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]
To find:
The correct statement about the given polynomial.
Solution:
We have,
[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]
On combining like term, we get
[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]
[tex]=-3s^6t^2+6st^9-6t^7[/tex]
Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
3. Which number is a natural number?
A-2.5
B 5-151
C-13+51
D|-81-2
Answer:
C
Step-by-step explanation:
A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.
X^2+17x+50=0 to the nearest tenth.
Since you cannot really factor this problem easily, we are going to resort to the quadratic formula!
x= -b+or- sqrt(b^2-4ac) / 2a
x=-17+ or - sqrt(17^2-4*50) /2
x=-17+ or - sqrt89 /2
Now we just need estimate sqrt 89 which is about 9.43 and I will not bother to show the step I did to estimate its about 9.43.
So x= -17+ or -9.43 /2
x= -26.43/2 or -7.57/2
x=-13.215 or -3.785
Round to nearest tenth digit.
x= -13.2 or -3.8
Hope this helps any questions just ask in the comments.
Pls help I’ll brainlest ASAP
Answer:
-9
Step-by-step explanation:
-6 Divided By 2/3 = -9
2/3 multiplied by -9 = -6
Your answer will be z = -6/3 or -9
If its wrong I tried-
Sally bought 10 pencils for
$1.50, how much is it per pencil? Don't forget $ in
the front.
Answer:
$0.15 per pencil
Step-by-step explanation:
1. Divide
1.50 divided by 10 = 0.15
2.Answer
$0.15 per pencil
Which expression does not equal to the others?
A
567 /1,000
-------------------
B
56.7 / 10,000
----------------------
C
5.67 /10
---------------------
D
56.7 /100
Answer:
B is not equal to the others
Step-by-step explanation:
Pls help Find the measure of angle B
Answer:
∠b = 61°
Step-by-step explanation:
∠b + 29° = 90°
∠b = 90° - 29°
∠b = 61°
f(x) = x^2 -2x -3 /x-3 identify the discontinuity
Answer:
Step-by-step explanation:
Again, parentheses would help with clarity. f(x) = (x^2-2x-3)/(x-3)
The denominator is x-3. Division by 0 is undefined, so x ≠ 3.