Answer:
Step-by-step explanation:
1: -2?
2: 17?
3: 16?
what number is expressed in each of the models below? One flat represents 1 whole. One rod represents 1 tenth, and one unit represents 1 hundredth. Write the number on the line.
Answer:
The number expressed in the models below is 0.63 (six tenths and three hundredths)
Step-by-step explanation:
It is represented as follows:
One flat represents 1 whole, so there are 0 whole numbers
One rod represents 1 tenth, so there are 6 tenths (represented by 6 rods)
One unit represents 1 hundredth, so there are 3 hundredths (represented by 3 units)
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
At 2 hours before sunset, the temperature is 0°F. At 2 hours after sunset, the temperature is −4°F. Identify the equation representing the temperature y, in degrees Fahrenheit, at x hours after sunset.
y = ___ x + ___
Answer:
The answer is y = -4x + 0
Step-by-step explanation:
Because the temperature is -4 and when since zero is your starting point you do gown four which is why its negative and since zero is the start it would be the answer for y
For the given condition the equation represents the temperature y, in degrees Fahrenheit, at x hours after sunset will be y = -4x + 0.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, at 2 hours before sunset, the temperature is 0°F. 2 hours after sunset, the temperature is −4°F and the equation representing the temperature y, in degrees Fahrenheit, at x hours after sunset.
The equation is obtained as,
y = -4x + 0.
Thus, for the given condition the equation represents the temperature y, in degrees Fahrenheit, at x hours after sunset will be y = -4x + 0.
Learn more about the equation here,
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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.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
What is the area of the figure below?
Answer:1,950
Step-by-step explanation:
Hope this helps you
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
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.
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
The table shows the heights of three monster
trucks. Bigfoot 5 is 4.9 feet taller than Bigfoot 2. Write and solve an
addition equation to find the height of Bigfoot 2.
Answer:
15.4-4.9=10.5
^ this is what you would do to find what you need to add
10.5+4.9=15.4
I guess-
Answer:
10.5
Step-by-step explanation:
15.4 - 4.9 = 10.5
How do you multiply 2 1/4*4/7
Help explain it please
Conversion a mixed number 2*1/4
to a improper fraction: 2*1/4 = (2* 1)/4
= (2( 4 )+ 1)/4 = (8 + 1)/4 = 9/4
To find a new numerator:
a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally
(2 * 4)/4 = 8/4
b) Add the answer from the previous step 8 to the numerator 1. New numerator is 8 + 1 = 9
c) Write a previous answer (new numerator 9) over the denominator 4.
Two and one quarter is nine quarters.
Conversion a mixed number
1*4/7
to a improper fraction:
1*4/7 = 1*4/7 = 1 *( 7 + 4) / 7= (7 + 4) / 7= 11 / 7
To find a new numerator:
a) Multiply the whole number 1 by the denominator 7. Whole number 1 equally 1 * 7/ 7 = 7/7
b) Add the answer from the previous step 7 to the numerator 4. New numerator is 7 + 4 = 11
c) Write a previous answer (new numerator 11) over the denominator 7.
One and four sevenths is eleven sevenths.
Multiple: 9/4 * 11/7 = 9 * 11 /4 * 7= 99/28= 3.53571
Answer: Your answer is 1 2/7
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
9/4 × 4/7
Applying the fractions formula for multiplication,
=9/4 x 4/7 (A Times symbol beside each number)
=36/28
Simplifying 36/28, the answer is
=1 2/7
Hope it helped! :D
Simplify 2/3 +9-1/24
Answer:
\(9 \frac{5}{8} \)
Step-by-step explanation:
\(1. \: lcd = 24 \\ 2. \: \frac{2 \times 8}{3 \times 8} + 9 \times \frac{24}{24} - \frac{1}{24} \\ 3. \: \frac{16}{24} + \frac{216}{24} - \frac{1}{24} \\ 4. \: \frac{16 + 216 - 1}{24} \\ 5. \: \frac{231}{24} \\ 6. \: \frac{77}{8} \\ 7. \: 9 \frac{5}{8} \)
pls answer this!!!!!!!!!!!!
(4 3/10 −2 7/15 ) * 20 ( 4 3/10 and 2 7/15 are fractions)
Answer:
110/3 or 36 2/3
Step-by-step explanation:
4 3/10-2 7/15=11/6
11/6•20=110/3
Answer:
110/3 or 36 2/3
Step-by-step explanation:
Evaluate the parenthesis first which is 11/6. Multiply that by 20 to get 110/3 or 36 2/3
in his first four years of coaching football, Coach Delgato's team won 5 games the first year, 10 games the second year, 8 games the third year, and 7 games the fourth year. How many games does the team need to win the fifth year to have an average of 8 wins per year?
The team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
To find out how many games the team needs to win in the fifth year to have an average of 8 wins per year over the five-year period, we can use the following equation:
(5 + 10 + 8 + 7 + x) / 5 = 8
Here, x represents the number of games the team needs to win in the fifth year.
To solve for x, we can simplify the equation:
(30 + x) / 5 = 8
Now, we can cross-multiply:
30 + x = 40
Subtracting 30 from both sides of the equation, we get:
x = 10
Therefore, the team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
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PLZ HELP I SUCK AT MATH
Answer:
y = − x/3 +8
i think, hopeful i helped
A furniture store is having a sale on couches that cost $1000 or more. A 10% discount will be applied. If a couch that has an original cost of $2000 is purchased, what will the final cost be after the 10% discount is applied?
Answer:
200$
Step-by-step explanation:
2000 is more than 100p so the discount is 10% right so
2000 over 1 multiple by 1 over 10 equals to 200$
Consider the inequality nx+5 is less than or equal to -10. Which value of n will result in the solution -3 is greater than or equal to x?
Answer:
n=5
Step-by-step explanation:
Solving for x:
nx + 5 ≤ -10nx ≤ - 15x ≤ -15/nWe are looking for the solution: -3 ≥ x ⇔ x ≤ -3
Then
-15/n = -3n = 15/3n = 5i really need help plss
Answer: 2.5 or 2 1/2
8^10 ÷ 8^5 = 8^2 True or false
Answer:
False
Step-by-step explanation:
\(8^1^0 = 1073741824\\8^5=32768\\\\8^2 = 64\)
You answer, you win 100 points
Answer:
\(13.5 m^{2}\)
Step-by-step explanation:
area = length × width
= 15m × 9/10m
= 15m × 0.9m
= \(13.5 m^{2}\)
Answer:
\(\Huge \fbox{Area = 13.5 m^{2}$}\)
Step-by-step explanation:
To find the area of the baseboard, we need to multiply the length by the width:
The length of the baseboard is given as 15 metres. The width of the baseboard is given as \(\frac{9}{10}\) metre.To multiply these values, we can convert the width to a decimal by dividing the numerator (9) by the denominator (10):
\(\frac{9}{10} = 0.9\)Now we can multiply the length and width:
\(\text{Area = Length $\times$ Width}\)\(\text{Area = 15 m $\times$ 0.9 m}\)\(\text{Area = 13.5 m^{2}$}\)Therefore, the area of the baseboard is 13.5 m².
__________________________________________________________
8th grade work
show work ……….
Will give brainly
PLS HELP - NEED WITHIN 15 MINUTES! WILL MARK BRANILIEST AND 10 POINTS!!!
3√7 - 5√14 + 2√28
4. Alistair has an infinite number of bags numbered 1, 2, 3, 4... Each bag
contains an infinite number of marbles numbered 1, 2, 3, 4... Is the set of
all marbles that Alistair possesses larger than the set of marbles he has in
just the first bag?
Answer:
No
Step-by-step explanation:
One infinity cannot be larger than another
Which product is negative? will mark brainliest
Please help me. Im not having a great day but this would make me feel better :)
Answer:
B.
Step-by-step explanation:
i think
20 POINTSSSSSSSSSSS find the difference (12m+1)-(5m-4)
Answer:either 60m— -4 or 17m— -3
Step-by-step explanation: distribute
please help 10 points i only have 21
What is 5.2 divided by 4, and show the steps please this is partial quotient division.
Answer:
\( \frac{5.2}{4} = \frac{52}{40} =\boxed{1.3} \\ \)
1.3 is the right answer.What is the probability of rolling an even number on a number cube and spinning red or yellow on the spinner shown?
Answer: C) 1/5
Step-by-step explanation:
probability of red or yellow = 2/5
probability of even number = 3/6 = 1/2
1/2 x 2/5 = 1/5
150% of what number is 24?