Answer:
15/2 or 7.5 or 7 1/2
Step-by-step explanation:
solve each compound inequality
f-4<5 and f-4 ≥ 2
y-1 ≥7 or y+3<-1
-5<3p+7≤22
To solve each compound inequality, we can break it into two separate inequalities and solve each one separately.
For the first compound inequality, f-4<5 and f-4 ≥ 2, we can break it into two separate inequalities: f-4<5 and f-4>2. Solving these inequalities separately, we get:
f-4<5
f<9
f-4>2
f>6
Therefore, the solution to the compound inequality is 6<f<9.
For the second compound inequality, y-1 ≥7 or y+3<-1, we can break it into two separate inequalities: y-1>=7 and y+3<-1. Solving these inequalities separately, we get:
y-1>=7
y>=8
y+3<-1
y<-4
Therefore, the solution to the compound inequality is y<-4 or y>=8.
For the third compound inequality, -5<3p+7≤22, we can break it into two separate inequalities: -5<3p+7 and 3p+7≤22. Solving these inequalities separately, we get:
-5<3p+7
3p>-12
p>-4
3p+7≤22
3p≤15
p≤5
Therefore, the solution to the compound inequality is -4<p≤5.
Mrs. Gomez is sewing a dress for each of her four daughters. Each dress uses
2.25
yards of fabric, and the fabric costs
$
4.15
per yard. What will be the cost for fabric for all four dresses?
Answer: 37.35
each dress uses 2.25 yds and there are 4 dresses, so 4 x 2.25 = 9 yds.
9 yds at 4.15 per yd = 9 x 4.15 = 37.35
Answer:
e
Step-by-step explanation:
Mrs. Gomez uses 2.25 yards of fabric for each dress.
She is sewing a dress for her 4 daughters.
The fabric costs $4.15 per yard.
We first have to find out how much fabric she will use.
2.25 x 4 = 9
9 x 4.15 = 37.35
She will spend $37.35.
hope this helps :)
Show all of your work. Partial credit is only available if all your work is shown.
For problems 1 – 4, convert to customary units. (3 points each)
The conversions are solved to obtain
1. 48,000 oz = 3000 lb
2. 4.5 T = 9000 lb
3. 7 gal = 56 pt.
4. 125 fl oz is equal to approximately 3.91 qt.
How to do the conversionsUsing unit conversion the following is done as follows
1.
1 lb = 16 oz
48,000 oz = x lb
hence x = 48000 / 16 = 3000 lb
2.
To convert from pounds (lb) to tons (T), we divide by 2000 (since 1 ton = 2000 lb). Therefore, T = 4.5 T * 2000 = 9000 lb
3.
To convert from gallons (gal) to pints (pt), we multiply by 8 (since 1 gal = 8 pt). Therefore, 7 gal = 7 * 8 = 56 pt.
4.
To convert from fluid ounces (fl oz) to quarts (qt), we need to divide by 32 (since 1 qt = 32 fl oz). Therefore:
125 fl oz = 125 / 32 qt
= 3.90625 qt (rounded to 5 decimal places)
Learn more about conversions at
https://brainly.com/question/97386
#SPJ1
A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does he need to run to finish the race?
I flaked
Answer:
Hello person :D
Your answer should be:
8.808
Step-by-step explanation:
I would highly appreciate a brainliest!
Have a wonderful day!
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Look at the two patterns below:
Pattern A: Follows the rule add 6, starting from 5.
Pattern B: Follows the rule add 3, starting from 5.
Select the statement that is true.
A The terms in Pattern A are 2 times the corresponding terms in Pattern B.
B The terms in Pattern B are one-third the corresponding terms in Pattern A.
C The first five terms in Pattern A are 5, 11, 17, 23, and 29.
D The first five terms in Pattern B are 0, 5, 8, 11, 14.
The correct statement regarding the arithmetic sequences is given as follows:
C The first five terms in Pattern A are 5, 11, 17, 23, and 29.
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
Pattern A follows the rule add 6, starting from 5, hence the first five terms are given as follows:
5, 11, 17, 23, 29.
For Pattern B, the rule is add 3, starting from 5, hence the first five terms are given as follows:
5, 8, 11, 14, 17.
This means that option C is the correct option in the context of this problem.
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
#SPJ1
What was one conflict that was resolved in the resolution?
A-The characters learned to respect each other enough to discuss why the boy tried to grab the purse.
B- Mrs. Jones took care of the boy's hunger.
C- The boy asked for the money to buy shoes.
D- Mrs. Jones taught the boy to have manners. plz help!!!
Answer:
A. THe characters learned to respect each other enough to discuss why the boy tried to grab the purse.
An account earns 6% yearly compound interest if you put $1500 in the account what is the ending balance after 5 years
A. $1950.00
B. $450.00
C. $2007.34
D. $507.34
Answer:
B. $450.00
Step-by-step explanation:
1. 1500 x 6% or 1500 x .06 = 90
2. 90 yearly compound times 5 years(90x5)
90x5=450.00
A 7-pack of plastic flower pots costs $19.67. What is the unit price?
i need help!!
Answer:
2.81
Step-by-step explanation:
To find the unit price, take the total cost and divide by the number of packs.
19.67 / 7
2.81
The cost per pack, or unit price, is 2.81
The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 7 unit and width fraction 1 over 2 unit? (1 point)
a
fraction 1 and 1 over 7 units
b
fraction 1 and 2 over 7 units
c
fraction 4 over 9 unit
d
fraction 2 over 9 unit
Carlo said a population can have more than one sample associated with it. Do you agree or disgree with his statement? Justify your answer.
Mean, median, mode, and range of a group of numbers.
Pretend you are a teacher trying to describe these terms to a student. Make sure you write as if you are the teacher and explain each term as if the student is learning this for the first time. Be descriptive and give examples. Make sure you include the data set (the group of numbers) you will be working with. Be sure to use complete sentences. Be creative and use your own words!
Does the ratio 5/12 to 25/18 have a unit rate of 3/10
Answer:
Step-by-step explanation:
ASAP HELP NEEDED BRAINLIEST TO WHO IS CORRECT!
A party planner organized a dinner party. The party planner recorded the height of the candlesticks over time and graphed the relationship.
graph with the x axis labeled time in hours and the y axis labeled height of candlestick in inches and a line going from the point 0 comma 9 through the point 3 comma 7
Find and interpret the slope and y-intercept in this real-world situation.
The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.
The slope is negative three halves, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases three halves of an inch every hour.
The slope is 9, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 9 inches every hour.
The slope is 9, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 9 inches every hour.
Answer:
(a) The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.
Step-by-step explanation:
You want to find the y-intercept and slope from the given graph of candle height versus time.
Y-interceptThe y-intercept is the point on the y-axis where the graph intercepts the y-axis. This graph has a y-intercept of 9 inches, the height of the candle when it starts burning.
SlopeThe slope of the graph is the ratio of "rise" to "run". Here, we can see that over a period of 3 hours, the candle loses 2 inches in height. That means the slope is ...
slope = rise/run = (-2 in)/(3 h) = -2/3 in/h
This slope means the candle height decreases 2/3 inch every hour.
__
Additional comment
Your problem statement identifies points on the graph as (0, 9) and (3, 7). These are actually the points where we drew the "rise" and "run" lines in the attachment. They are points where the line crosses grid intersections, which are the best choice for finding slope.
The slope can be found algebraically as ...
m = (y2 -y1)/(x2 -x1) = (7 -9)/(3 -0) = -2/3
We find it is often easier to count grid squares.
I had a simalar question where it was the same this but with 8 as the intercept sooooo it's c if ur looking for the answer hope this helps "The slope is negative two thirds, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases two thirds of an inch every hour."
A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain has a diameter of 18 centimeters. The blueprint has a scale of three centimeters to four feet. What will be the actual ares of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenth of a square foot.
Answer:
452.4 square feet
Finding the diameter:
Since there are 3 centimeters for every 4 feet, we need to divide 18 by 3
18 ÷ 3 = 6 which means the ratio is scaled up by 6 so we multiply 4 by 6
4 · 6 = 24 that means that the diameter of the base of the fountain is 24 feet
Finding the area:
Since the area of a circle is πr² we need to divide the diameter by 2 to get the radius(r)
24 ÷ 2 = 12 now we need to square 12 (which is multiplying it to itself ex. 5² is 5 · 5)
12 · 12 = 144 now we multiply it by π
π · 144 ≈ 452.38934 lastly we round it
452.4 square feet
Hope this helps!
Hey people! Guess what? I need help :D Attached is a picture that has the problem please explain how you did it!
What is the volume of this triangular prism?
Question 2(Multiple Choice Worth 2 points)
(Experimental Probability MC)
In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36. Predict how many times the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
3
9
10
18
9 the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36.
As, Expected number of outcomes = theoretical probability * number of trials
Expected number of outcomes = 3/36 x 108
= 9
Thus, the required value is 9.
Learn more about Probability here:
https://brainly.com/question/30544947
#SPJ2
Bruce collects coins. He collected a total of 250 coins. If 76% of the coins he collected were foreign, how many other coins did he collect?
Step-by-step explanation:
Total number of coins he collected = 250 coinsPercentage of coins he collected which were foreign = 76 %So,
→ Number of coins he collected which were foreign = 76% of 250
→ Number of coins he collected which were foreign = \( \dfrac{76}{100} \) × 250
→ Number of coins he collected which were foreign = \( \dfrac{76}{10} \) × 25
→ Number of coins he collected which were foreign = \( \dfrac{1900}{10} \)
→ Number of coins he collected which were foreign = 190
Now,
→ Other coins he collected = Total coins - Number of coins he collected which were foreign
→ Other coins he collected = 250 - 190
→ Other coins he collected = 60
Therefore, he collected 60 other coins.
Help please (11 points)
A school custodian discovered a leak in a water pipe. The custodian found that water had leaked out. How many gallons of water is this? Use the conversion factor
Answer:
13
Step-by-step explanation:
Answer:
13 gallons
Step-by-step explanation:
Don't know if this will help you at all but here you go. You can do the king greedy method. You draw a big G and you draw 4 Q's inside representing there are 4 quarts in a gallon. then you draw 2 p's inside each q representing there are 2 pints inside a quart then you give each pint two crowns witch mean there are 2 cups in a pint.
A game show has a contestant pick one of five doors to reveal the prize the contestant wins. A photo of a new boat is behind one of the doors, and joke prizes are behind the others. Which BEST describes the probability of winning the new boat?
Hi,
It is unlikely that the game show contestant will win the boat.
To be exact it is 20% chance that the game show contestant will win the boat.
XD
The slope of the line in the graph is ___.
(If your answer is a fraction, write it in simplified terms.)
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
Describe and correct the error in solving the equation. HELP ASAP
The given equation is ,
\( \underline{\underline{4 {x}^{2} - 6 = - 17}} \\ taking \: the \: like \: terms \: at \: either \: sides \: ,\: \\ \implies \: 4 {x}^{2} = - 17 + 6 \\ \implies \: 4 {x}^{2} = - 11 \\ since \: we \: need \: our \: answer \: in \: terms \: of \: x ,\\ \: therefore \: we \: will \: divide \: both \: sides \: by \: 4 \\ \\ \implies \: \cancel\frac{4 {x}^{2} }{4} = \cancel\frac{ - 11}{4} \\ \\ \implies \: {x}^{2} = \frac{ - 11}{4} \\ \\ square \: rooting \: both \: sides ,\: \\ \\ \sqrt{ {x}^{2} } = \sqrt{ \frac{ - 11}{4} } \\ \\ \implies \: x = \pm \frac{ \sqrt{ - 11} }{2} \)
Thus ,
The solutions obtained will be as follows -
\(\boxed{x = \frac{ \sqrt{ - 11} }{2}} \: \: and \: \: \boxed{x = - \frac{ \sqrt{ - 11} }{2} }\)
NOTE - THE ERROR IS SPOTTED IN THE LAST STEP WHERE ADDING A MINUS SIGN BEFORE 11 WAS SKIPPED.
HIGHLIGHTED STEP-
\((x = \pm \frac{ \sqrt{11} }{2} ) \\ \)
hope helpful! :)
PLEASE ANSWER AS FAST AS YOU CAN BUT PLEASE GET THE RIGHT ANSWER!!!
Answer: (-3,-8)
Step-by-step explanation: opposite of (3,-8)
y=2x−1 5x−4y=1 Is (1,1) a solution to the system? Show your work.
Answer:(x,y)=(1,1)
Step-by-step explanation: y=2x - 1 , 5x - 4y=1
y=2x-1
5x-4y=1
5x-4(2x-1)=1
x=1
y=2x+1-1
y=1
(x,y)=(1,1)
1=2 x 1 - 1
5 x 1 - 4 x 1 = 1
1=1
1=1
therefore the anwser would be (x,y)=(1,1)
Answer:
(x,y)=(1,1)
Step-by-step explanation:
(28 divided by 7 + 6 divided by 3) x 1/2
Answer:
3
Step-by-step explanation:
if you use the system of equations, it is 3.
Answer: 3
Step-by-step explanation:
28÷7=4
6÷3=2
4+2=6
6*1/2=3
Compare the perimeter and area of the original figure to the enlarged figure using proportions.
A small rectangle has a length of 2, and a width of 1. A large rectangle has a variable length of b, and width of 2. StartFraction enlarged side (2) over Original side (1) = StartFraction Enlarged perimeter (4 + 2 b) over Original perimeter (6) EndFraction. (StartFraction enlarged side (2) over Original side (1) EndFraction) squared = StartFraction Enlarged area (2 b) over Original area (2) EndFraction
Which statements describe true relationships? Check all that apply.
The enlarged area is 4 times the original area, which is the square of the scale factor.
The scale factor is One-half.
The enlarged perimeter is 2 times the original perimeter, which is the scale factor.
The perimeter is proportional to the scale factor and the area is proportional to the square of the scale factor.
The enlarged area and perimeter are equal.
plz help me I will mark brainliest and give thanks :D but only if you can it's fine if you don't know the answer.
Answer:
A,C,D
Step-by-step explanation:
I just got it right on edge2021
plz mark brainliest
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answer:
Step-by-step explanation: