Two consecutive integers have a sum of 75. Find the integers.
Answer:
37 and 38
Step-by-step explanation:
let the consecutive integers be x-1 and x
If their sum is 75
x-1+x = 75
2x - 1 = 75
2x = 75+1
2x = 76
x = 76/2
x = 38
First integer = x - 1
First integer = 38-1 = 37
Second integer is 38
Hence the integers are 37 and 38
) solve the equation and explain A. 3(10−)=6
Answer:
The solution to the equation is [tex]x = 8[/tex]
Step-by-step explanation:
To solve the equation, first we apply the distributive property on the parenthesis, then we isolate x.
Solution:
[tex]3(10 - x) = 6[/tex]
Applying the distributive:
[tex]3*10 - 3*x = 6[/tex]
[tex]30 - 3x = 6[/tex]
Solving for x
[tex]3x = 30 - 6[/tex]
[tex]3x = 24[/tex]
[tex]x = \frac{24}{3}[/tex]
[tex]x = 8[/tex]
The solution to the equation is [tex]x = 8[/tex]
5.3.18 From Exercise 5.2.19, recall the results from a 2013 Gallup poll that asked randomly selected U.S. adults whether they wanted to stay at their current body weight or change. Of the 562 men surveyed, 242 wanted to stay at their current weight, whereas of the 477 women surveyed, 172 wanted to stay at their current weight. Define (in words) the parameters of interest of this study. Also, assign symbols to the parameters. State the appropriate null and alternative hypotheses in words. State the appropriate null and alternative hypotheses in symbols. Explain why it is valid to use the theory-based approach to test the hypotheses stated above. Use an appropriate applet to find a theory-based p-value to test the above hypotheses. Report the standardized statistic as well as the p-value. Use an appropriate applet to find a theory-based 95% confidence interval and interpret the resulting interval in the context of the study. Based on your findings, state a complete conclusion about the study. Be sure to address significance, estimation (confidence interval), causation, and generalization.
Answer:
only 5 points ;(
Step-by-step explanation:
A grain of sand with a diameter of
0.06 millimeter has a mass of approximately
3.0 x 10^-13 gram. How is the mass of a grain
of sand expressed using standard notation?
Answer:
B) 0.0000000000003
Step-by-step explanation:
Hope this helps.
I need help please its math ill be puting more answer things like this if i need more help.
What number could be a value of x which makes the following inequality true?
5x < 15
Answer:
X<3
Will be ur answer i guess .
How do you fill in the table?
Answer:
7,8,9,10 , 11
..
...
Answer:
7, 8, 9, 10, 11 (Answer to boxes from left to right
Step-by-step explanation:
For each problem, we just "plug in" the x value into the equation. For example, in the first box the x value is 2 and the equation is y = x + 9. Since we know that x is equal to -2, then the equation becomes y = -2 + 9, and y becomes 7.
If a hockey player takes 78 shots and scores 16 goals, what would be the probability of this player scoring a goal on their next shot?
0.173
0.205
0.013
0.263
Answer:
0.205
Step-by-step explanation:
This is a question of experimental probability, in which the probability from the previous outcomes is the probability for the next outcome.
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question:
16 goals on 78 shots. So the probability of the player scoring a goal in the next shot is:
16/78 = 0.205
Answer:
0.205
Step-by-step explanation:
NEED HELP ASAP!! WILL MARK BRAINLIEST! ANSWER IN THIS FORMAT:
Part A:
Part B:
Part C:
Photo attached below
Answer:
Part A: Function typeCar 1 . Exponential function
The value ratios are constant:
40500/45000 = 36450/4050 = 32805 /36450= 0.9Car2. Linear function
The value differences are constant:
45000 - 42000 = 42000 - 39000 = 39000 - 36000 = 3000Part B: EquationsCar 1
f(x) = 45000*0.9ˣCar 2
f(x) = 45000 - 3000xPart C: Value after 13 yearsCar 1
f(13) = 45000*0.9¹³ = $11438Car 2
f(13) = 45000 - 3000*13 = $6000Car 1 will have a greater price
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000 pi cubic miles. Approximate the radius of Earth. Round your answer to the nearest whole number.
How many ways can 14 students line up in 8 positions if the third,
fourth, and fifth positions must be student x, y or z?
Answer:
Step-by-step explanation:
Using the permutation formula, it is found that there are 55,440 ways for the students to line up.
The order in which the students line up is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 positions are set, and the remaining 11 students will be selected for 5 positions, hence:
[tex]P_{(11,5)} = \frac{11!}{6!} = 55440[/tex]
More can be learned about the permutation formula at https://brainly.com/question/25925367
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consider the figure shown below. Match the angles given in the first column with their equivalent degree Measure given in the first row
Answer:
∠3 = 115°
∠8 = 75°
∠6 = 105°
∠11 = 115°
∠9 = 65°
∠4 = 65°
Step-by-step explanation:
∠3 = 180 - 65 =115° because they are supplementary
∠8 = 75° because it is vertical to 75°
∠6 = 180 - 75 = 105° because they are supplementary
∠11 = 115° because it is corresponding to ∠3
∠9 = 65° because it is corresponding to ∠1
∠4 = 65° because it is vertical to 65°
Applying the definition of special angle pairs, the given angles and their respective equivalent degree measures are:
m<3 = 115°m<8 = 75°m<11 = 115°m<9 = 65°m<4 = 75°Given the following:
m<1 = 65°m<5 = 75°Thus:
<3 and <1 are supplementary angles, therefore,
m<3 = 180° - 65°
m<3 = 115°
<8 and <5 are vertical angles, therefore,
m<8 = 75°
<6 and <8 are supplementary angles, therefore,
m<6 = 180° - 75°
m<6 = 105°
<11 and <3 are corresponding angles, therefore,
m<11 = 115°
<9 and <1 are corresponding angles, therefore,
m<9 = 65°
<4 and <2 are vertical angles, therefore,
m<4 = 75°
Learn more here:
https://brainly.com/question/11018476
Select all the expressions that are equivalent to -2(5x - 1) + 7(5x - 1) - 3(-5x + 1)
A. -2(5x - 1) + 7(5x - 1) - 37-5x-1)
B. (5x-1) (2 + 7-3)
C. (5x-1) (-2+ 7 + 3)
D. 40x - 8
E 10x + 2
Answer:
D. 40x - 8
C. (5x-1)(-2+7+3)
----------------------------------------------
-2(5x - 1) + 7(5x - 1) - 3(-5x + 1)
= -10x + 2 + 35x - 7 +15x - 3
= -10x - 35x +15x + 2 - 7 - 3
= 40x - 8
D. is correct.
----------------------------------------------
(5x-1)(-2 + 7 + 3)
= -10x + 2 + 35x - 7 +15x - 3
= 10x - 35x +15x + 2 - 7 - 3
= 40x -8
which is as same as the answer choice D. and the answer you get from solving the -2(5x - 1) + 7(5x - 1) - 3(-5x + 1), so
C. is correct, too
-------------------------------------------------
There seems to be a typo in answer choice A. so I cannot determine if A is also correct or not...
A boat is 10 miles away from a lighthouse that sits on top of a coral reef with a 4 mile radius. At what angle does the captain need to steer his boat so that he avoids the boat from colliding with the underwater coral? Round to the nearest tenth degree.
Answer:
n
Step-by-step explanation:
233
Nick needs 75 yards of wire for a project. If the wire is only sold on spools which hold 6 feet of wire, how many spools will he need? Nick needs spools .
Answer:
12.5
Step-by-step explanation:
Answer:
37.5
Step-by-step explanation:
Please help me please.
Which of the following equations will produce the graph shown below?
+10
-6
-5
-4
-3
+1
HHHH
-10-9-8-7-6-5-4-3-2-1+1 2 3 4 5 6 7 8 9 10
7.2
+3
+++LULU
-5
-6
-7
-8
-10
O O
O A. 20x² – 20y2 = 400
B. x² + y2 = 16
x2 12
=1
c. 20 20
+
D. 6x² +67² = 144
The equation that produces the circle in the given graph is; x² + y² = 16
How to interpret the equation of a Circle?
The general form of equation of a circle is;
(x - h)² + (y - k)² = r²
where;
h, k are coordinates of the circle center
r is the radius
From the graph, we can see that the coordinates of the center is; (0, 0).
Also, radius is;
r = √(4² - 0²)
r = √16
Thus, our equation of the circle in the graph is;
(x - 0)² + (y - 0)² = (√16)²
⇒ x² + y² = 16
Read more about Circle Equation at; https://brainly.com/question/1559324
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Answer:
x^2/20+y^2/20=1 is the correct answer.
Step-by-step explanation:
I need help what is the answer plz
Answer:
-2.25
Step-by-step explanation:
Since there are 4 ticks between 2 numbers, we do 1/4 = 0.25
Now we find the value:
-2.25
Answer this question right I give you Brainly
Answer:
A
Step-by-step explanation:
The Y Intercept is for sure going to be 2 so we can eliminate answer choices B and D
The data shows a negative linear association so we can eliminate answer choice C
Therefore the answer is A
Maria has 6 ⅛ cups of flour, but only needs 4 ¼ cups for her recipe. How much will she have left?
What is 57 x 2135 then divided by 19 then multiplied then 35 and what's the final answer pls
you will get 24 points also :)
Answer: 224,175
Step-by-step explanation:
Yensen is biking in a race that is 56 miles long. He has completed 35%of the race. How many miles has Yensen biked?
Simplify –(9x + 12) – 4x.
Answer:
x = 2.4
HOPE THIS HELPS :)
Answer:
5x
Step-by-step explanation:
what is the greatest common factor of 55 , 99
3. Ashley must choose between two job offers.
• Job A pays a flat rate of $21.50 plus an additional $9.75 per hour.
Job B pays a flat rate of $10.95 plus an additional $11.40 per hour.
Which inequality can be used to find x, the number of hours when Job A will earn more than Job B.
9.75 + 21.50x > 11.40 + 10.95%
9.75 + 21.50x < 11.40 + 10.95x
9.75x + 21.50 > 11.40x + 10.95
9.75x + 21.50 < 11.40x + 10.95
CLEAR ALL
Answer:
A. 9.75 + 21.50 ,,,symbol,,, 11.40 + 10.95
Step-by-step explanation:
I know it because my teacher told me that i was the only one that got it correct.
f(x) = 3x2/5 is
monomial function and even function
power function and even function
monomial function and odd function
power function and odd function
Answer:
Monomial function and odd function
Step-by-step explanation:
It has no exponents making it an odd function
Its even making it a monomial function
I need help. I have this question and it says express your answer as a simplified mixed number 8 4/7 - 3 2/7 =
Answer:
5 3/7 or 37/7
HELP PLEASEEEEEEEEEEEEEE
Answer:
-2/4, 8/40, 21/30, 9, 9 20/25
Step-by-step explanation:
9/20/25 is a bit greater than 9.
21/30 is 9 away from a whole 8/40 is 32 away from 40 -2/4 is way less because its on the negative side which is like so far away from the other numbers.
Damien needs to order more pill containers for the pharmacy. Currently, there are 156 8-dram bottles, 78 20-dram bottles, and 132 30-dram bottles. All the bottles come in cases of 140 bottles. The pharmacist wants all stocks to be replenished so that there are at least 400 of each bottle type. How many cases of each bottle type does Damien need to order
Answer:
for 8 gram bottle = 2 cases
for 20 gram bottle = 3 cases
for 30 gram bottles = 2 cases
Step-by-step explanation:
Determine how many cases of each bottle type Damien needs to order
i) For 8-gram bottles
available bottles = 156
required amount ≥ 400
extra bottles to be ordered = 400 - 156 = 244 bottles
since case contains 140 bottles , the number of cases to be ordered
= 244 / 140 = 1.74 cases ≈ 2 cases
ii) for 20 gram bottles
available bottles = 78
required amount ≥ 400
Extra bottles to be ordered = 400 - 78 = 322 bottles
therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases
iii) For 30 gram bottles
available bottles = 132
required amount ≥ 400
Extra bottles to be ordered = 400 - 132 = 268
therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases
Refer to Exhibit 4-8. If the wheat market is in competitive equilibrium the producers’ surplus will equal Group of answer choices
area 1 + 2 + 3
area 1 + 2 + 4
area 3 + 5
area 1 + 2 + 3 + 4 + 5
area 6
Answer:
area 1
Step-by-step explanation: