9514 1404 393
Answer:
7.0
Step-by-step explanation:
The relationship of interest is ...
Tan = Opposite/Adjacent
tan(25°) = x/15
x = 15·tan(25°) ≈ 6.9946
x ≈ 7.0
Steve started with $250 and spent $25 per week. Chelsea started with $30 and saved $30 per week. Use x for time and y for savings. How much money would be in their savings when it was the same amount?
Answer:
the question is when are the two accounts equal... so our strategy is to find two equations and set them equal to each other
Step-by-step explanation:
weeks = w
steve's acct. = 250-25w
Chelsea's acct. = 30 +30w
so when do they equal
250-25w = 30+30w
now solve for w
250-30 = 30w +25w
220 = 55w
4 = w
In four weeks.. they will have the same
so 250- 25(4) = 150
and to check 30+30(4) = 150
so the each have $150.00 in their accts at 4 weeks
The ratio of girls to boys in Jaime's chorus is 2 to 4. If there are 25 girls in her chorus, how many boys are there? *
Answer:
50 boys
Step-by-step explanation:
2/4 = 1/2
25*2=50
Write the following using index notation:
a) 2 x 2 x 2
b)
3 x 3 x 3 x 3 x 3
c) 4 x 4 x 4 * 5 * 5
d)
9 x 7 x 9 x 9 x 7 x 9
Answer:
Here you go
Step-by-step explanation:
sorry for the bad handwriting
The required equivalent expressions using index notation, are follows: a) 2 x 2 x 2 = 2³, b) 3 x 3 x 3 x 3 x 3 = 3⁵, c) 4 x 4 x 4 x 5 x 5 = 4³ x 5² and d) 9 x 7 x 9 x 9 x 7 x 9 = 7² x 9⁴.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expressions are given in the question, as follows:
a) 2 x 2 x 2
b) 3 x 3 x 3 x 3 x 3
c) 4 x 4 x 4 x 5 x 5
d) 9 x 7 x 9 x 9 x 7 x 9
We have to determine the equivalent expression using index notation.
As per the question, the required solution would be as:
a) 2 x 2 x 2 = 2³
b) 3 x 3 x 3 x 3 x 3 = 3⁵
c) 4 x 4 x 4 x 5 x 5 = 4³ x 5²
d) 9 x 7 x 9 x 9 x 7 x 9 = 7² x 9⁴
Learn more about the expression here :
brainly.com/question/21751419
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There are 42 boys in the sixth grade. The number of girls in the sixth grade is 35. Lonnie says that
means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is
16:5.
Is Lonnie correct? Show why or why not.
Answer:
Lonnie is incorrect because the ratio is 6:5 and not 16:5.
Step-by-step explanation:
First, create a ratio comparing the number of boys to girls:
42:35
This can be simplified since both numbers are divisible by 7:
42:35
Divide each number by 7:
6:5
So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.
Answer:
incorrect i think
Step-by-step explanation:
the ration would be 6:5
n x 3 = 24
HELP Please answer in full steps.
Answer:
n=8
Step-by-step explanation:
What times 3 is 24?
In other words, 24 divided by 3, which is 8
Can someone pleaseeeee solve these for me I will give brainiest!!!!
Step-by-step explanation:
Bir abzas qurmaq üçün 5 addımdan keçək. Hər addım üçün bir izah və nümunə var. Nümunə bəndimiz kölə ruhları haqqında, Afrikalı Amerikalıların köləlik dövründə yaratdığı orijinal mahnılarla əlaqəli olacaq. Model paraqrafı fikrini sübut etmək üçün illüstrasiyadan (nümunələr verməklə) istifadə edir.
Cory has only dimes in his piggy bank. A dime is worth 10 cents. Which could be the value of the money in Cory's piggy bank?
Answer:
It depends on how many dimes are in the piggy bank. It could be any answer that didn't have a 5 in the tenths place. For example, it couldn't be a number like $1.05 because any whole number multiplied by 10 would end in a 0
PLEASE HELP! (or i die tomorrow)
Answer:
16. (0 , -6) 17. (0 , 4) 18. (3, -9)
Step-by-step explanation:
Answer:
A = (0,-6)
B = (0,4)
C = (3,-9)
Step-by-step explanation:
Take the middle number of the x-coordinates.
A- The number in between 0 and 0 is 0
B- The number in between 2 and -2 is 0
C- The number in between -3 and 9 is 3
Take the middle number of the y-coordinates.
A- The number in between 0 and -12 is -6
B- The number in between 9 and -1 is 4
C- The number in between -3 and -15 is -9
You can also use the midpoint formula; M=(x(1) + x(2))/2 , (y(1) + y(2))/2
Which of the following situations are equal to 6? Select all that apply.
A) 30% of 10
B) 60% of 15
C) 50% of 12
D) 20% of 30
E) 75% of 8
Answer:
C)
D)
E)
Step-by-step explanation:
30% of 10 = [tex]\frac{30}{100}*10 = 3 \neq 6\\\\[/tex]
B) 60% of 15 = [tex]\frac{60}{100}*15 = \frac{6}{10}*15=\frac{3}{5}*15=3*3 = 9 \neq 6\\[/tex]
c) 50% of 12 = [tex]\frac{50}{100}*12=\frac{1}{2}*12=6\\\\[/tex]
D) 20% of 30 = [tex]\frac{20}{100}*30=\frac{1}{5}*30= 6[/tex]
E)75% of 8 = [tex]\frac{75}{100}*8 = \frac{3}{4}*8=3*2 = 6[/tex]
The equation of line v is y = -x + 9. Line w, which is perpendicular to line v, includes the
point (2, 3). What is the equation of line w?
Answer:
y=x+1
Step-by-step explanation:
In order to find the slope that is perpendicular to a given line, you have to take the fraction form (-1/1), flip it (1/-1), and give it an opposite sign (1/1). Now since we now know our slope we can draw y=x to find what do we have to add. Since y=x crosses (2,2), we know we have to add 1 to the equation in order to bring it to (2, 3).
I'll give brainliest if correct
Answer:
Go down to -4 and make a 1/1 graph
Step-by-step explanation:
Find the measure of the exterior angle.
By exterior angle property
[tex]j = 90 + 40[/tex]
[tex]j = 130[/tex]
Need some help from the bois
Answer:
a
Step-by-step explanation:
big brain
If y varies inversely as x and y = 32 when x = 5, find x when y = 240.
Answer:
2/3
I hope it will be useful.
1. Find the common factors of the given terms.
Step-by-step explanation:
[tex](ii)\\24y=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot\boxed{y}\\16xy=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{y}\\\\GCF(24x;\ 16xy)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=8y[/tex]
[tex](iii)\\14p^2=2\cdot\boxed{7}\cdot\boxed{p}\cdot p\\\\7pq=\boxed{7}\cdot\boxed{p}\cdot q\\\\28p=\boxed{7}\cdot2\cdot2\cdot\boxed{p}\\\\GCF(14p^2;\ 7pq;\ 28p)=\boxed{7}\cdot\boxed{p}=7p[/tex]
[tex](v)\\6a^3b^2c=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot a\cdot a\cdot\boxed{b}\cdot b\cdot\boxed{c}\\\\24ab^3c^4=\boxed{2}\cdot2\cdot2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot b\cdot b\cdot\boxed{c}\cdot c\cdot c\cdot c\\\\12abc=\boxed{2}\cdot 2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}\\\\GCF(6a^3b^2c;24ab^3c^4;\ 12abc)=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}=6abc[/tex]
[tex](vi)\\16x^3=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\\\\-40x^2=-\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{x}\cdot\boxed{x}\\\\32x^4=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot x\\\\GCF(16x^3;\ -40x^2;\ 32x^4)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{x}\cdot\boxed{x}=8x^2[/tex]
Chloe bought 8/9 pounds of grapes. She used 1/3 of the grapes in a fruit salad and saved the rest. How many pounds of grapes were in the fruit salad?
Easy math question. Giving branliest.
Answer:
D
Step-by-step explanation:
45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?
Answer:
9 girls
Step-by-step explanation:
total girls tried out = 45
did not make the team
= 20% of the girls
= 20/100 × 45
= 9 girls
what is log7 12+log7m-log7n?
Hello!
[tex]\large\boxed{\log_{7}{(\frac{12m}{n}})}[/tex]
Use the log properties to simplify:
log (a) + log (b) = log (a · b)
log (a) - log (b) = log (a ÷ b)
Therefore:
[tex]log_{7}12 + log_{7}m - log_{7}n\\\\= log_{7}(12 * m / n}\\\\log_{7}{(\frac{12m}{n}})[/tex]
which graph shows a negative slope and a positive y-intercept?
Answer:
it's the bottom right!! TRUST MR I PROMISE
Step-by-step explanation:
IT IS THE ONLY LINE GOING DOWN which proves it's negative!!!
Find the cube root of 512
Answer:
8
Step-by-step explanation:
[tex] \sqrt[3]{512} = (512) {}^{ \frac{1}{3} } = 8[/tex]
(x-4)/(2x+1)-3 can you help me with this question
Answer:
[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex]
Required
Solve
Express 3 as a fraction
[tex]\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}[/tex]
Take LCM
[tex]\frac{x - 4 - 3(2x + 1)}{3x + 1}[/tex]
[tex]\frac{x - 4 - 6x - 3}{3x + 1}[/tex]
Collect Like Terms
[tex]\frac{x - 6x- 4 - 3}{3x + 1}[/tex]
Simplify like terms
[tex]\frac{-7x- 7}{3x + 1}[/tex]
Hence:
[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]
Using the graph below solve the quadratic equation: x²+x-6- 0
Answer:
B. x = -3 or x = 2
Step-by-step explanation:
Johan ran 36.25 miles in 5 hours. How many miles did he run every hour?
I really need help my dad will get really mad if i dont get this one
how are 29.35 and 2.935 related
They are both decimal numbers.
Answer:
They are the same since the only thing that changed is the decimal placement.
Step-by-step explanation:
What value of x is in
the solution set of -2(3x + 2) > -8x + 6?
A)-6
B)-5
C)5
D)6
The answer is 6
Answer:
6
Step-by-step explanation: you told me your answer
Simplify
26.08 + (-6)^2 • (3.4-8.9)÷9
A.) 4.08
B.) 5.62
C.) -7.62
D.) -9.14
shift f(x)=x^2 three units to the left and four units down
a) f(x)=(x+4)^2 -3
b) f(x)=(x-4)^2 -3
c) f(x)=(x-3)^2 -4
d) f(x)=(x+3)^2 -4
Given:
The parent sine function is [tex]f(x)=x^2[/tex].
It shifts three units to the left and four units down.
To find:
The new function.
Solution:
The translation is defined as
[tex]f_1(x)=f(x+a)+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Graph shifts 3 units to the left. So, a=3.
Graph shifts 4 units down. So, b=-4.
Putting a=3 and b=-4, we get
[tex]f_1(x)=f(x+3)-4[/tex]
[tex]f_1(x)=(x+3)^2-4[/tex] [tex][\because f(x)=x^2][/tex]
Here, new function is also defined by f(x). So, [tex]f(x)=(x+3)^2-4[/tex].
Therefore, the correct option is d.
Nelson is going on an overnight family reunion camping trip. He is in
charge of bringing the wood for the campfire. He will start the fire with 6
logs and then plans to add 3 logs for each hour the fire burns.
b. Suppose the family decides to stay for 2 nights next year. Write the
expression for the number of logs they would need for 2 nights.
Answer:
starting with 6 and adding 3 an hour over two days or 48 hours that would be 3x48= 144 then add your original 6 that would be 150
Step-by-step explanation:
6 + (3x48) = logs for two days
6 + 144 = 150
150!!!
a. The number of logs needed for one night can be represented by the expression:
6 + 3h
b. The expression for the number of logs needed for 2 nights is 12 + 6h.
What is an expression?A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.
If Nelson plans to start the fire with 6 logs and add 3 logs for each hour the fire burns, then the number of logs needed for one night can be represented by the expression:
6 + 3h
where h is the number of hours the fire burns.
To find the number of logs needed for 2 nights, we can simply multiply the number of logs needed for one night by 2:
2(6 + 3h)
Simplifying this expression gives:
12 + 6h
So the expression for the number of logs needed for 2 nights is 12 + 6h. This represents starting the first night's fire with 6 logs, adding 3 logs per hour for that night, and then starting the second night's fire with 6 logs again, and adding 3 logs per hour for that night as well.
To learn more about the expression;
brainly.com/question/24242989
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-18 > -2(2x + 9) - 4+x
Answer:
x>-4/3 last answer i got i hope it is helpful have a nice day