Answer:
Perimeter of rectangle = 4x + 80
Area = x² + 40x + 384
Step-by-step explanation:
Perimeter of rectangle = 2*(length + width)
= 2* (x + 24 + x + 16)
= 2*( x +x + 24 + 16) {Combine like terms}
= 2* (2x + 40)
Use Distributive property : a*(b +c) = a *b + a*c
= 2*2x + 2*40
= 4x + 80
Area of rectangle = length * width
= (x + 24) (x + 16) {use FOIL method}
= x*x + x*16 + 24*x + 24*16
= x² + 16x + 24x + 384 {Combine like terms}
= x² + 40x + 384
Brainiest to whoever answers this!! and please
Answer: Number 9: x = 20, Number 10: x = 65
Step-by-step explanation:
Number 9:
3x + 10 = 90 - x
3x + x = 90 - 10
4x = 80
80 / 4
x = 20
Number 10:
2x + 15 = 145
2x + 15 - 15 = 145 - 15
2x = 130
2x / 2 = 130 / 2
x = 65
Envlopes are sold in packages of 20 there are 7 large envlopes in each package how many large envlopes will you get when you buy 160 envlopes
Answer:
56 large envelopes
Step-by-step explanation:
160/20 = 8 packages
8 x 7 = 56 large ones
I will brainliest if correct! The graph of an exponential model in the form y=aXb^x passes through the points (3,5) and (4,10). Which point is also on the graph?(Multiple choice)
Answer:
The fourth choice.
Step-by-step explanation:
An exponential function passes through (3, 5) and (4, 10).
And we want to determine which other point is also on the graph.
First, we can find the exponential function. A standard exponential function is in the form:
[tex]y=a(b)^x[/tex]
The point (3, 5) tells us that y = 5 when x = 3. Thus:
[tex]5=a(b)^3[/tex]
The point (4, 10) tells us that y = 10 when x = 4. Thus:
[tex]10=a(b)^4[/tex]
In the first equation, we can divide both sides by a:
[tex]\displaystyle \frac{5}{a}=b^3[/tex]
And we can rewrite the second equation:
[tex]\displaystyle 2(5)=a(b^4)\Rightarrow 2\Big(\frac{5}{a}\Big)=b^4[/tex]
Substitute:
[tex]2b^3=b^4[/tex]
Divide:
[tex]b=2[/tex]
Using the first equation again, substitute:
[tex]5=a(2)^3[/tex]
Simplify and solve:
[tex]5=a(8)\Rightarrow \displaystyle a=\frac{5}{8}[/tex]
So, our exponential function is:
[tex]\displaystyle y=\frac{5}{8}(2)^x[/tex]
Next, we can simply try each point and see which point is correct.
Testing the first point (remember that (2,0) means that y = 0 when x = 2):
[tex]\displaystyle 0\stackrel{?}{=}\frac{5}{8}(2)^0=\frac{5}{8}(1)=\frac{5}{8}\neq 0[/tex]
Testing the second point:
[tex]\displaystyle 1\stackrel{?}{=}\frac{5}{8}(2)^2=\frac{5}{8}(4)=\frac{5}{2}\neq 1[/tex]
The third point:
[tex]\displaystyle 15\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\neq 15[/tex]
And the fourth point:
[tex]\displaystyle 20\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\stackrel{\checkmark}{=}20[/tex]
Therefore, D is the correct choice.
Answer:
(2,0)
Step-by-step explanation:
The answer is (2,0) because the number line passes through that point
Select the two values of x that are roots of this equation.
2x2 + 7x + 6 = 0
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
Complete the square and write the equation in Vertex Form:
f(x) = x2 +
+ 10x + 25
Answer:
f(x) = (x + 5)²
Step-by-step explanation:
f(x) = x² + 10x + 25 = (x + 5)²
y = a (x - h)² + k vertex: (h , k)
a = 1 h = -5 k = 0
Your 3rd quarter final will be in April. The test will be 100 points total and contain 35 questions.
There are 2-point and 4-point questions on the test. How many of each point value question are
on the test?
Number of 2-point questions:
Number of 4-point questions:
Answer:
12 23
Step-by-step explanation:
that = up to 35
I need help!!!!!!!!!
During the rescue, Zoe encountered different
conditions. Further down the river, she pulled off
and took more measurements. This time the river is
30 feet wide, the mean depth is 7 feet, and the
float measurement is 6 feet per second.
What is the flow of the water now, in cubic
feet per second (cfs)?
A
1406 cfs
B
1408 cfs
С C
1354 cfs
D
1300 cfs
Answer:
d
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m
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like
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Can any one help me 11 points no lnks pls. Just help with any of these
Answer:
5. m<1 = 114 degrees
m<2 = 66 degrees
6. 2x + 3x + 4x = 9x = 180, x = 20
7. 3
8. 1/3
Hope that helps!
-scsb
Step-by-step explanation:
Answer:
66
20
3
1/3
Step-by-step explanation: Can I get brainliest? Thanks!
5. m∠2 = 180-59-55 = 66
m∠1 = 180-66 = 114
6. 2x+3x+4x=180
x(2+3+4)=180
x(9)=180
x=180/9=20
Plug back in to check:
2(20)+3(20)+4(20)=40+60+80=180
7. (3,8) to (9,24)
(9,24)/(3,8) = (3,3) so scale factor = 3
8. (12,15) to (4,5)
(4,5)/(12,15) = (1/3,1/3) so scale factor = 1/3
James bought a bag of grapefruit with a mass
of 6 kilograms. What is the mass of the bag of
grapefruit in grams?
Answer:
17
Step-by-step explanation:
Leanne has 64 candies. She buys 4 more packages of
candies that each have 8 candies in them.
How many candies does Leanne have now?
Answer:
96
Step-by-step explanation:
yeee
CAN YOU PLS HELPS ME AND NO LINKS ALOUD.....PLS HELPS ME I WIL GIVE CROWN
Answer:
I'd say the first one, it is most common for states to have four or fewer roller skating rinks.
Have a lovely day/night! <3
Which of the numbers below is less than zero? Select all that apply.
A) 1.2
B) 72
C) –3.5
D) –0.75
E) −13
Answer:
-13 is less than zero in the options
the three steps shown below were used to find an expression equivalent
Answer:
You forgot to fully write the question
Step-by-step explanation:
(灬 º‿º 灬) ♡
[tex] \frac{5x - 2}{2} = 9[/tex]
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{5x -2 }{2} = 9 \\[/tex]
Cross multiply,
5x - 2 = 9*2
5x - 2 = 18 {Add 2 to both sides}
5x = 18 +2
5x = 20 {Divide both sides by 5}
x = 20/5
x = 4
You bought 15 bottles of apple juice and orange juice. The apple juice was $1.00 per bottle and the orange juice was $1.75 per bottle. You spent a total of $19.50. How many bottles of each type of juice did you buy?
Answer:
13 bottles of apple juice and 2 bottles of orange juice.
i think :))
Step-by-step explanation:
I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)
Which of these statements is true? Sin 18° = cos 72°, sin 55° = cos 55°, sing 72° = cos 18°c both a and c
Answer:
Sin 18° = cos 72° and sin 72° = cos 18°
Step-by-step explanation:
According to trigonometry identity;
sin Ф = cos(90 - Ф)
for Sin 18° = cos 72
Ф = 18°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 18 = cos(90 - 18)
Sin 18 = cos 72
Hence the statement id true
For sin 72° = cos 18
Ф = 72°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 72 = cos(90 - 72)
Sin 72 = cos 18
Hence this statement too is correct
The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°
Work out the value of x.
HELP ME NOW PLEASE!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to 6x + 8?
2(3x - 4)
2(3x + 4)
2(4x + 6)
2(3x + 8)
Answer:
2(3x+4)
Step-by-step explanation:
Multiply the 2 by the 3x to get 6x
Multiply the 2 by the 4 to get 8
Add 6x and 8
6x+8
Answer:
B. 2(3x+4) is correct
Step-by-step explanation:
2*3x= 6x and 2*4= 8 so you have all ur terms
hi please help i’ll give brainliest please
Answer:
6)7x + 60
Step-by-step explanation:
6 x 7 = 42
Therefore 6(7x = 6 times 7x
Hope this helps
have a wonderful day
Based on the equation 7x+42=y predict the number of customers to visit the frozen yogurt when it's 10 degrees
Answer:
112 visitors
Step-by-step explanation:
Given the prediction equation :
y = 7x + 42
x = temperature
y = number of visitors (customers)
Number of visitors when temperature is 10 degree
y = 7(10) + 42
y = 70 + 42
y = 112
Hence, the model predicts that 112 customers will visit when temperature is 10 degrees
So far I've ruled out answer D but I need help on the rest! please help asap!
Answer:
the answer is D.
Step-by-step explanation:
A home security company provides security systems for $6 per week, plus an installation fee. The total fee for 10 weeks of service is $345. Write and solve a linear equation to find the cost of the installation fee.
Answer: $285
Step-by-step explanation:
Let the installation fee be represented by x.
Therefore, the equation to solve the question will be:
= x + 6w
where,
x = installation cost
w = number of weeks
x + 6w = 345
x + 6(10) = 345
x + 60 = 345
x = 345 - 60.
x = 285
Therefore, the installation fee is $285
how do you multiply add and divide fractions?
Answer:
If the denominators are not the same: First, make them the same. Then add or subtract like fractions with the same denominators.
Step-by-step explanation:
the first step when multiplying fractions is to multiply the two numerators. the second step is to multiply the two denominators. simplify the new fractions. the fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
to add or subtract fractions they must have the same denominator. if the denominators are already the same then it is just a matter of either adding or subtracting the numerators if the denominators are difrent then a common denominator needs to be found.
what's an expression that represents 5 less than the product of 7 and a number?
Answer:
7x-5
Step-by-step explanation:
PLSSSSS HELPPPPPPPPPPPP THIS WAS SUPPOSED TO BE FOR
YESTERDAY PLSSSS SOMEONE URGENT!!!!!!!!!!!!!!!plssssssssssssssss
Answer:
C
Step-by-step explanation:
A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table shows the data:
Number of hours spent studying
()
0
0.5 1 1.5 2 2.5 3 3.5 4
Seore on science test
V)
57 62 67 72 77 82 87 99 97
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer
Answer:
A.)
the correlation between the number of hours students spent studying and the score on the science test seems to be that the people who spent more time studying got a better score than the people who didn't/ did less.
B.)
y = a - b ^x
a = 57
b = 5
because every .5 hours adds 5 points to the score
y = 57 (5) ^x
and as a function
F(x)= 57(5)
C.)
slope: 10
y / x
5 / 0.5
= 10
y-intercept: 57
x is 0 and y is 57 that is the y-intercept
it has a positive slope.
pls for the love of god someone explain how to do this to me
How can 118 be simplified
360
Answer:
59180
Step-by-step explanation:
Reduce 118/360 to lowest terms
The simplest form of 118360 is 59180.
I hope this helps :)