Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
= (x + 1)(x + 2)
This is the correct factorization.
2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.
Answer:
35 and 32
Step-by-step explanation:
35 and 32
because when we add 35 and 32 then their sum is 67
when we subtract 35 and 32 then their difference is 3
I hope u understand it
Spencer randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $21,032 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Spencer found a z test statistic of -1.35.
Given the data provided, what is the p-value of the z-test statistic?
Answer: 0.0885
Step-by-step explanation:
To find : p-value of the z-test statistic.
p-value of the z-statistic depends on the alternative hypothesis.
Here , Alternative hypothesis : µ < $21,706 , which is a left tailed hypothesis.
So we will check the area to the left side of the z-statistic.
Since z= -1.35
P(Z<z) =P(Z<-1.35)= 1- P(Z<1.35)
= 1- 0.9115
= 0.0885
Hence, the required p-value = 0.0885
Answer:
0.0885
Step-by-step explanation:
The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter bottles, which were checked for calories, containsa mean of 255 calories with a standard deviation of 5.6 calories. Assume that the calorie count has a normaldistribution. Does the sample information indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Answer:
Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Step-by-step explanation:
Null Hypothesis [H0] : u < 250
Alternate Hypothesis [H1] : u > 250 {One Tail}
t = (x' - u) / [ sd / √n ]
= (255 - 250) / (5.6 / √20)
5 / (5.6 /√20)
= 3.99
As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.
Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.
Answer: about 500
Step-by-step explanation:
Answer:
Step-by-step explanation:
800 meters
Garrett paid $20 for five movie tickets. Find the cost per ticket.
Write the unit rate rounded to the nearest hundredth
Answer:
4 is the unit rate
Step-by-step explanation:
2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.
Answer:
The answer is below
Step-by-step explanation:
Speed is the ratio of distance covered to the time taken. Speed is given by the formula:
speed = distance / time.
Let us assume the spider walking speed is x and its running speed is y.
If the spider walks for 10 seconds and runs for 9 seconds, she travels 85m. distance = speed * time, hence:
Total distance = distance covered walking + distance covered running
10x + 9y = 85 (1)
Also if she walks for 30 seconds and runs for 2 seconds, she travels 130m. Hence:
30x + 2y = 130 (2)
Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:
25y = 125
y =5 m/s
Put y = 5 in eqn. 2
30x + 2(5) = 130
30x = 120
x = 4 m/s
The spider walks at 4 m/s and runs at 5 m/s
Drag the phrases into the box to match each expression. 4x – 5 4 (x – 5) 4 ( x + 5) 5 less than the sum of 4 and a number 5 less than the product of 4 and a number the product of 4 and the difference of a number and 5 4 more than the sum of a number and 5 5 more than the product of 4 and a number the product of 4 and the sum of a number and 5 4 more than 5 less than a number
Answer:
4x – 5
4 (x – 5)
4 ( x + 5)
5 less than the sum of 4 and a number
5 less than the product of 4 and a number
the product of 4 and the difference of a number and 5
4 more than the sum of a number and 5
5 more than the product of 4 and a number
the product of 4 and the sum of a number and 5
4 more than 5 less than a number
What is the decimal multiplier to decrease by 2.7%?
Multiplying by 1 keeps it the same. A number greater than 1 would be an increase and a number below 1 would be a decrease.
The decrease is 2.7% which is written as 0.027 as a decimal.
Subtract that from 1:
1 - 0.027 = 0.973
The multiplier would be 0.973
Whats the slope of the line?
Answer:
-4,5
Step-by-step explanation:
There are two ways you can figure it out.
One way is to choose any two distinct points (x1,y1) and (x2,y2) on the line then use the slope formula below to find the slope m.
m=y2−y1x2−x1. So your points are (-2,2) and (-2,3)
So you need to find the y and x coordinates-
Should I continue explaining? Or r u good?
Find does angles
Help pls I have 15 min only .
Answer:
22 for x 45 for 4x+3 36 for 3x+2
Step-by-step explanation:
Trust me this is easy
Answer:
4x+2 =90°
3x+2=68°
x=22
Step-by-step explanation:
The interior angles of a triangle always add up to 180° so you will add the angles together and set them equal to 180° to solve for x. You will find that x should be equal to 22. Plug 22 into each equation to find the angle measure.
when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?
Answer:
2(x - 1) - 1 = 3(x + 1) - 6 - x
There are infinitely many solutions.
Step-by-step explanation:
Equations
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
Please answer this is the third time I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long
Answer:
y = 1.75
x = 1.25
Step-by-step explanation:
Since the triangles have equal angles, you can use ratios to solve for x and y.
For y:
[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]
Subtract 7 from a to find y.
y = 8.75 - 7
y = 1.75
For x:
[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]
Subtract 5 from b to find x.
x = 6.25 - 5
x = 1.25
the sum of the first six terms of a G.P is 9 times the sum of the first three terms . what is the first term ?
Without any more information, the first term can be any number.
Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then
a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)
ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)
r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)
r ³ (1 + r + r ²) = 8 (1 + r + r ²)
r ³ = 8
r = 2
Now with this ratio, the sum of the first six terms is
a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a
while the sum of the first three terms is
a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a
and of course 63a = 9 • 7a, and this is true for any a.
A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3
B= 348.3 cm3
C= 673.8 cm3
D= 2926.1 cm3
Answer:
Option D: 2926.1 cm³
Step-by-step explanation:
Dimensions of the cylidrincal soup can are given as;
Radius; r = 8.4 cm
height; h = 13.2 cm
Formula for area of cylinder is;
A = πr²h
Plugging in the relevant values gives;
A = π × 8.4² × 13.2
A = 2926.05 cm³
Approximating to the nearest tenth gives;
A = 2926.1 cm³
help please and thank you
Answer:
43
Step-by-step explanation:
your welcome. hope this helps u, if not im sorry
Solve for g .
g + (-5) = 27
g =
Final Answer: [tex]g = 32[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]g[/tex]. [tex]g + (-5) = 27[/tex]. [tex]g[/tex] = ?
Step 1: Remove parentheses.
[tex]g + -5 = 27[/tex]
Step 2: Simplify [tex]g + -5[/tex] to [tex]g - 5[/tex].
[tex]g - 5 = 27[/tex]
Step 3: Add [tex]5[/tex] to both sides.
[tex]g = 27 + 5[/tex]
Step 4: Simplify [tex]27 + 5[/tex] to [tex]32[/tex].
[tex]g = 32[/tex]
~I hope I helped you :)~
if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?
Step-by-step explanation:
x² + 16x + 64 = (x + 8)². Hence p = 8.
Since (x + 8) is a factor of 4x² + 37x + k,
4(-8)² + 37(-8) + k = 0. (by Factor Theorem)
=> 256 - 296 + k = 0
=> k - 40 = 0
=> k = 40.
The value of k is 40.
SMART PPL PLEASE help meeeeeeeeeeeeeee
Answer:
the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable
NEED HELP WIT DIS ASAP PLS ITS THE FINAL
Answer:
it's a or c
Step-by-step explanation:
please help
Your mom gives you $30 to buy some books. Write the money you have left as a function of the cost of books. Let
b represent the cost of books, and s represent the money you have left.
Answer:
D
Step-by-step explanation:
because b - 30 = s your buying something and subtacting from the money you had before
which number is rational
A. square root of 16/6
B square root of 6
C. square root of 36/16
D. square root of 36/6
Answer:
36/16
Step-by-step explanation:
Mr.Farrar spent a total of $43.87 after tax on new clothes at a clothing store. He brought 1 pair of sandals for $8.02 t-shirts fo $9.49 each and 1 pair of jeans. The tax on the purchase was $2.87 how much did Mr.Farrar pay for the pair of jeans?
Answer:
43.87 - 8 = 35.87 (sandals)
9.49 + 9.49 = 18.98 ( for two t-shirts)
35.87 - 18.98 = 16.89 (t-shirts)
16.89 - 2.87 = 14.02 (taxes)
Andrea payed $14.02 for a pair of jeans
Hopes this helps you!
Step-by-step explanation:
WILL GIVE BRAINLIEST!
D)
Table D is the only table of the four that represents a graph in which, when x increases, y increases at a constant rate, like a linear graph should. This means that, when graphed, it would show a straight line, with slope 0.5
Solve for b .
-9 b = 27
b =
Final Answer: [tex]b = -3[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]b[/tex]. [tex]-9 b = 27[/tex]. [tex]b[/tex] = ?
Step 1: Divide both sides by [tex]-9[/tex].
[tex]b = -\frac{27}{9}[/tex]
Step 2: Simplify [tex]\frac{27}{9}[/tex] to [tex]3[/tex].
[tex]b = -3[/tex]
~I hope I helped you :)~
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-9b =27 Equation/Question
Step 2
-9b =27 Simplify
-9b =27
Step 3
-9b =27 Divide both sides
answer
b=-3
what is wswssssssssss 4+4?
Answer: 4+4=8
Hope this helps :)
Step-by-step explanation:
Say you have four apples, and your friend gives you four more. You put together the amount of apples you have and you get 8.
can anyone help me thanks
Answer:
grams
Step-by-step explanation:
kilometers is for length, milugrams are too small and millimeters dosent make sense
Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?
x
x − 1
2x − 3
3x − 2
Answer:
3x - 2
Step-by-step explanation:
3 times Kim's age (x), so 3x; minus 2 years (Sam's age).
Answer:
The answer is 3x - 2 :)
Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2
the basement of a building is 40 feet below ground level . the elevator rises of 5 feet per second . you enter the elevator in the basement write an equation that represents the height y (in feet) of the elevator
Answer:
y=5x-40
Step-by-step explanation:
It says 5 feet per second, so you know that is the rate/speed. The rate is always going to be x. The building starts in the basement which is -40 because the basement is under ground level, so it would be less then 0 (ground level) and y is the final height you are at.
I need help please lol
Answer:
b d f i think sorry if this doesnt help but have a great day :)
Step-by-step explanation:
help!!!!!please!!!!!!!
4x = 64 + 200
what is x
x=66
Step-by-step explanation:
4x = 200 + 64 > 4x = 264 > x= 66
Answer:
x=66
Step-by-step explanation:
Steps
4x=64+200
4x=264
x=66