Answer:
here's what we know:
a + b = 72
a - b = 26
We can use the elimination method to solve this problem:
a + b = 72
a - b = 26
---------------
2a = 98
Divide both sides by 2:
a = 49
So we now have:
49 + b = 72
and:
49 - b = 26
Subtract 49 from both sides:
b = 23
and
-b = -23 (multiply both sides by -1) → b = 23
Step-by-step explanation:
Identify the figure and denote it by its appropriate symbol
ОА.
Half Line, AB
OB.
Ray
AB
O C. Line, AB
OD
Line Segment AB
9.2 less than 3 times a number is the same as 21 1/4
Answer:
10.15
Step-by-step explanation:
3x-9.2 = 21.25
3x = 30.45
x = 10.15
Answer:
10.15
Step-by-step explanation:
I took the K12 test
Rationalize the denominator and simplify the following expression:
fraction numerator 4 plus square root of 2 over denominator 2 space minus square root of 2 end fraction
let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.
[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]
[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]
A company borrows $50,000 for 8 years at a simple interest rate of 13.5%. Find the interest paid on the loan and the total amount paid
The interest paid on the loan is $
The total amount paid is $
Answer:
13.5%×50000=6750
this is interest paid on loan 6750
50000+6750=56750
The total amount paid
Becca hikes 9/10 mile in 5/3 hour.
Answer:
(9/10 mile)/(5/3 hour) = 27/50 miles/hour
Step-by-step explanation:
If you are looking for the speed, then speed = distance/time
speed = (9/10 mile)/(5/3 hour)
speed = 9/10 ÷ 5/3 miles/hour
speed = 9/10 × 3/5 miles/hour
speed = 27/50 miles/hour
Answer:
1. 9/10/3/5
2. 3/2
Step-by-step explanation:
Got it correct on iReady.
Susie catches 15 butterflies and lets 6 butterflies go for three days in a row
Answer:
Sorry don't report pls I need the points
Step-by-step explanation:
HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answer:
3.75
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
Hope this helps
Have a great and blessed day :)
Solve for x
(x+16) over 3 = 3x
a. X=-7
b. X=-13
c.x= 8
d. X= 2
Answer:
X=8
Step-by-step explanation:
8+16=24
and 3(8)=24
can someone help me with this please?
Answer:
Okay, Please copy paste the question. I cannot see.
Step-by-step explanation:
i will mark as brainliest PLZ HELPPPPPP
Can someone pls help me out with this the best I can do is 50 points
Dimensional analysis
Answer:
On the LHS:
Frequency is measured in rad/s, or [tex]s^-^1[/tex];.
On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.
[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]
Add 1, multiply by 2. 2 First
Answer:
2+1×2=6
6+1×2=14
14+1×2=30
And so on
please answer numbers 1-5 i need them soon
Answer:
Step-by-step explanation:
1) 1. AB ≅ CD Given
2. AD ≅ CB Given
3 . BD ≅ BD Reflexive property
4. ΔABD ≅ ΔCBD S S S congruent
2) 1. GH // JK Given
2. ∠HGJ ≅∠KJG Given
3. GH ≅ JK Given
4 . GJ ≅ GJ Reflexive property
5. ΔHGJ ≅ ΔKJG S A S congruent
3) ΔJNK ≅ ΔMNL SSS congruent
JK = ML CPCT
JK = 160 ft
4) ΔRPS ≅ ΔTQS A A S congruent
RS ≅ TS
RS = 85 m
5)ΔDEF ≅ΔGHJ
GJ = DE {CPCT}
6x - 13 = 3x + 2
6x = 3x + 2 + 13
6x = 3x + 15
6x - 3x = 15
3x = 15
x = 15/3
x = 5
HJ = 5x = 5*5 = 25
can some one help me solve this
Answer:
time = 0.4, height = 24.8mStep-by-step explanation:
We need to find the coordinates of the vertex of the parabola.
[tex]f(x)=ax^2+bx+c\\\\v(p,\ q)-\text{vertex}\\\\p=\dfrac{-b}{2a};\ q=f(p)[/tex]
We have
[tex]h(t)=24+4t-5t^2=-5t^2+4t+24\\\\a=-5,\ b=4;\ c=24\\\\p=\dfrac{-4}{2(-5)}=\dfrac{-2}{-5}=\dfrac{2}{5}=0.4\\\\q=h(0.4)=-5(0.4)^2+4(0.4)+24=-5(0.16)+1.6+24\\\\=-0.8+25.6=24.8[/tex]
Problem 1
Each scholar in fifth grade participates in one of the three extracurricular activities: sports,
chess, or art.
2/5 of the fifth grade scholars participate in sports
1/4 of the fifth grade scholars participate in chess
What fraction of the fifth grade scholars participate in art?
Answer:
7/20 participate in art.
Answer:
7/20 hcjauwauhfehhfieafuewaueiwavibiurbviubwibvebaiubj
Select the correct answer.
Solve the following inequality.
-8 < 3x + 1 < 7
A.
B.
C.
D.
Answer:
-3 < x < 2
Step-by-step explanation:
-8 < 3x + 1 < 7
-8 < 3x + 1 ....... eqn 1
3x + 1 < 7 ...........eqn 2
-8 < 3x + 1
-8 - 1 < 3x
-9 < 3x
-9/3 < x
-3 < x
3x + 1 < 7 ...........eqn 2
3x < 7 - 1
3x < 6
x < 6/3
x < 2
= -3 < x < 2
The circumference of a circle is 28.888 centimeters. What is the circle's radius?
Use 3.14 for pi
Answer:
4.6
Step-by-step explanation:
28.888 / 3.14 = 9.2
9.2 / 2 = 4.6
The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.
What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?
Enter your answer, as a mixed number in simplest form, by filling in the boxes.
Answer: 1 1/2
Step-by-step explanation: I took it on k12
Answer:
The answer is 1 1/2 for K12
Use technology to find the P-value for the hypothesis test described below.
The claim is that for a smartphone carrier's data speeds at airports, the mean is p = 19.00 Mbps. The sample size is n = 21 and the test statistic is t= 1.401
P-value = (Round to three decimal places as needed)
Using the t-distribution, it is found that the p-value is of 0.177.
At the null hypothesis, it is tested that for a smartphone carrier's data speeds at airports, the mean is 19 Mbps, that is:
[tex]H_0: \mu = 19[/tex]
At the alternative hypothesis, it is tested if the mean is different than 19 Mbps, that is:
[tex]H_1: \mu \neq 19[/tex]
We are testing if the mean is different from a value, hence it is a two-tailed test.The test statistic is t = 1.401.Sample size of n = 21, hence there are 21 - 1 = 20 df.Inputting this information into a calculator, the p-value is of 0.177.
A similar problem is given at https://brainly.com/question/13873630
In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?
Using the concept of place value, the digit 4 is 200 times greater than the digit 2.
Given the number :
4325The digit 2 is in the tens place = 2 × 10 = 20
The digit 4 is in the thousand place = 4 × 1000 = 4000
The number of times greater can be obtained thus :
4000 / 20 = 200Hence, the digit 4 is 200 times greater than the digit 2.
Learn more : https://brainly.com/question/14760328
Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 large-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations.
a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)?
b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)?
c. What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)?
Using the exponential distribution, it is found that there is a:
a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = e^{-\mu x}[/tex]
In this problem, the mean is of 3.4 days, hence, the decay parameter is:
[tex]\mu = \frac{1}{3.4}[/tex]
Item a:
[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]
0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
Item b:
[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]
[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]
[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]
0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
Item c:
[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]
0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
A similar problem is given at https://brainly.com/question/17039711
A washer and dryer cost 809. The washer is 59 dollars more than the dryer how much does the dryer cost
Answer:
The dryer cost $350.
Step-by-step explanation:
Answer:
$375
Step-by-step explanation:
809 - 59 = 750
750 / 2 = 375
The additive inverse of [tex]a-b[/tex] is:
A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]
Additive inverse refers to any number that when added to the original number gives the result as zero.
[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]
What fraction of an hour is 21 minutes in simplest form
7/20
Step-by-step explanation:
21 ÷ 3 = 7
21 - 1 = 20
7/20
Solve for C:
Spam: deiodhwidweiudjegydjwe
Answer:
[tex]C=\frac{5F-160}{9}[/tex]
Step-by-step explanation:
Let's solve for C.
[tex]F=\frac{9C}{5}[/tex]
Step 1: Flip the equation.
[tex]\frac{9}{5} C+32=F[/tex]
Step 2: Add [tex]-32[/tex] to both sides.
[tex]\frac{9}{5} C+32+-32=F+-32[/tex]
[tex]\frac{9}{5}C=F-32[/tex]
Step 3: Divide both sides by [tex]\frac{9}{5}[/tex].
[tex]\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }[/tex]
[tex]C=\frac{5F-160}{9}[/tex]
Answer:
[tex]C=\frac{F-160}{9}[/tex]
The regular price of a refrigerator is $877. At a discount store, the price is $523. How much money can
Lena save by buying the refrigerator at the discount store?
Answer:
$345 is how much Lena can save
Step-by-step explanation:
Solve the inequality for u 20>u+8
Answer:
u < 12
Step-by-step explanation:
20 > u + 8 ( subtract 8 from both sides )
12 > u , then
u < 12
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!
We can solve this equation in one step, which is Algebra, I'll start solving the problem now.
Algebra
We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.
[tex]20>u+8\\12>u[/tex]
As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.
We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.
We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:
[tex]20>11+8?\\20>19[/tex]
We've proven that its correct.
So our final answer is [tex]u<12[/tex].
Cheers!
The scatterplot shows the heights and arm spans of 12 girls on a basketball
team. The line of best fit for the scatterplot is y = x + 2. What is the predicted
arm span for a girl who is 61 inches tall?
72
70
68
Arm span (inches)
66
60
60 62 64 66 68 70 72
Height (inches)
Answer:63
Step-by-step explanation:
Took the test
Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
What is the Line of Best Fit?The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.
Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.
y = 61 + 2
y = 63
Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
Learn more about line of best fit on:
https://brainly.com/question/17143626
Suppose the average price of the market basket for toddler toys was $737.75 in 1994 and $801.93 in 2000 for the same basket. Calculate the inflation rate over this period. (Round your answer to the nearest hundredth of a percent.)
Answer:
0.014
Step-by-step explanation:
Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation
Answer:
Knewton as of May 15, 2022 8.70%
Step-by-step explanation: