Solve for z.
-z/5 - 37 = -18
Answer:
z = -95
explanation:
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-9)^{\circ}∠A=(2x−9) ∘ and m\angle B=(2x+21)^{\circ}∠B=(2x+21) ∘ , then find the measure of \angle A∠A.
==================================================
Work Shown:
A+B = 180 since the angles are supplementary
(2x-9)+(2x+21) = 180
4x+12 = 180
4x = 180-12
4x = 168
x = 168/4
x = 42
Then,
A = 2x-9 = 2*42-9 = 75 degreesB = 2x+21 = 2*42+21 = 105 degreesAs a check, A+B = 75+105 = 180 to confirm the answer.
Write the equation in simplest terms
f(g(x))
Disclaimer:
The equations were not given in the question.
So, take random examples for the functions f(x) and g(x) to simplify.
f(g(x)) denotes the composition function.
Important note:
After computing the composition function we must define the domain of the new function.
Example 1:
f(x) = x² and g(x) = x + 4, here the domain of f and g is the set of all real numbers.
⇒ f(g(x)) = f(x + 4) = (x + 4)²
⇒ f(g(x)) = x² + 8x + 16
This new function is also defined for all the real numbers.
Example 2:
f(x) = 5/x and g(x) = x² - 4, here the domain of g is the set of all real numbers and the domain of f is the set of all real numbers except x=0.
⇒ f(g(x)) = f(x² - 4)
⇒ f(g(x)) = 5/(x² - 4) = 5/((x - 2)(x + 2))
The domain for the new function is the set of all real numbers except x=2 and x=-2.
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The basketball team sells packages of licorice for $5 per package and bags of
M&M's for $8 per bag. The team sells a total of 240 of both for a total of $1614.
Find the number of packages of licorice and bags of M&M's they sold.
Answer:
The basketball team sells packages of licorice=Rs.5 per packageM&M's for =Rs.8 per bag
Both team sells a total 240 of a total of Rs.1614
Now
The total of both =1614-240=1374
The basketball team sold 102 packages of licorice and 138 bags of M&M's.
Given that the packages of licorice sold for $5 per package and that of the bags of M&M's for $8 per bag.
The total selling was total of 240 of both for a total of $1614.
We need to find the number of packages of licorice and bags of M&M's were sold.
Let's assume that the number of packages of licorice sold is represented by the variable "L" and the number of bags of M&M's sold is represented by the variable "M."
From the given information, we have two pieces of information to form equations:
The total number of packages and bags sold: L + M = 240
The total revenue from selling these items: 5L + 8M = 1614
Now, we can solve these two equations simultaneously to find the values of L and M.
First, let's solve the first equation for one of the variables (let's solve for L):
L = 240 - M
Now, substitute this expression for L in the second equation:
5(240 - M) + 8M = 1614
Now, distribute the 5:
1200 - 5M + 8M = 1614
Combine the M terms:
3M = 1614 - 1200
3M = 414
Now, solve for M:
M = 414 / 3
M = 138
Now that we know the value of M, we can find the value of L using the first equation:
L = 240 - M
L = 240 - 138
L = 102
So, the basketball team sold 102 packages of licorice and 138 bags of M&M's.
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Step-by-step, please?
Answer:
Step-by-step explation; c2 + c2 -3c + 5c + 3 - 2
= 2c2 + 2c +1
Miguel is asked to solve the problem below and wants to convert the values to the same form. Which form would you encourage Miguel to choose?
Group of answer choices
Since 5/6 is a terminating decimal, Miguel should convert 5/6 to a decimal and multiply the decimals.
Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
Since 5/6 is a repeating decimal, Miguel should convert the fraction 5/6 to a decimal and multiply decimals.
Please Help Me!
The correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now the given mixed fraction is,
-0.6(5/6)
Now since 5/6 is a repeating decimal,
Therefore converting 0.6 into fraction, we get
0.6 = 6/10
Therefore, -0.6(5/6) = -(6/10)*(5/6)
Rearranging we get,
-0.6(5/6) = -(6/6)*(5/10)
⇒ -0.6(5/6) = -1*(5/10)
or, -0.6(5/6) = -(5/10)
simplifying 5/10 we get,
-0.6(5/6) = -(1/2)
Thus, the correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
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Double a number minus five is 11. What is the number?.
Answer:8
Step-by-step explanation: 8 *2=16-5=11
What’s exponent gives you 8
Answer:
There are many exponents that will give you 8.
I will list a few for you. :)
→ 2³
→ 8¹
→ [tex]\sf 4^{1.5}[/tex]
Hope this helps.
what is equivalent 3x−4y=6?
Answer:
y=(3/4)x - (3/2)
Step-by-step explanation:
3x−4y=6
isolate the y variable
-4y=-3x+6
divide by -4
y=(3/4)x - (3/2)
it is equivalent because it is the same equation just in a different form
Which expression shows the prime factorization of 36? O2×2×3 O 2×3×3 O 2×2×2×3×3 O 2×2× 3x3
Answer:
Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]
Step-by-step explanation:
Take Lcm Of 36 (Lowest Divisible)
2 | 36
2 | 18 -> Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]
3 | 3
3 | 3
| 1
- If it did help please mark as brainliest
Suppose a particle is moving along the x-axis so that it’s position at time t is given by the formula:
s(t)=2t^2 -t + 3t^1/3
Find the particle’s velocity and acceleration at time, t=1.
Answer: It should be 4
Step-by-step explanation:
Just plug in 1 for t, t=1
Find the median.
12, 5, 9, 18, 22, 25,
Answer:
the answer is =15
Step-by-step explanation:
12+18=30
30÷2
=15//
There is a step missing from the solution below. Which equation is the
missing step?
P= √ 100.011x+13
5= 10- √ 0.011x+13
-5= -√ 0.011x+13
?
12 = 0.011x
1091 ≈ x
A. 12 = 0.011x + 13
B. 25 = 0.011x + 13
C. 25 = 0.011x + 169
D. 25 = √0.011x + 13
Answer:
B
Step-by-step explanation:
What number makes the expression equivalent? 1/2 (-14m+4)= blank m+2
In linear equation, -7 m - 2 is number makes the expression equivalent.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Given expression is 1/2 (-14m+ 4 )
To simplify this expression 1/2 (-14m+ 4 ) we get equivalent expression.
Multiply and Divide the expression by two.
⇒ -14m/2 + 4/2
To simplify the expression again, we get,
⇒ -7 m - 2
So, we found the coefficient of m is -7
The missing number is -7
Hence, –0.7 makes the expression equivalent.
Therefore,1/2 (-14m+4) = -7 m - 2
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The area of Ivory’s scaled copy is 48 square units.
Ivory's scaled counterpart has a 48-square-unit area.
Ivory's scale factor for producing their scaled replica is;
On the graph, one interval corresponds to four units of the rectangle. This ratio is 1:4.
We can see from the provided image that the rectangle's y-axis has three intervals and its x-axis has one interval.
Now, the picture informs us that the scaled copy's area is 48 square units.
This indicates that the triangle she is attempting to depict with that graph has an area of 48 square units.
Now, if one of the graph's intervals is in units of x, then it indicates;
Y-axis: length; 3x units
size; x-axis equals x units
A rectangle's area is
based on the formula Area = Length Width, 3x [tex]\times[/tex] x = 48.
1 interval on the graph corresponds to 4 units of the rectangle because 3x2 = 48 x2 = 48/3 x2 = 16 x = 16 x = 4.
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Madeline drew a grid of 5 cells in a row.
4.88 4.86 4.84 4.82
Explain how you can use structure to find the missing decimal.
A.Moving left to right, the whole number stays the same and the tenths decrease by 2.
B.Moving left to right, the whole number stays the same and the hundredths decrease by 1.
C.Moving left to right, the whole number stays the same, the tenths decrease by 1, and the hundredths decrease by 2.
D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Answer:
D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Write an equation of ine that passes through (5,-2) and (7,6) in slope intercept form
The equation of the line i slope intercept form is y = 4x - 22.
What is slope ?Slope is the amount a point moves in y axis upon the amount a point move in x axis.We can also say that slope is rise over run.
According to the given question we have to an equation of line that passes through (5,-2) and (7,6) in slope intercept form.
We know equation of a line in slope intercept form is y = mx + b.
Two points are given (5,-2) = (x₁,y₁) and (7,6) = (x₂,y₂) and we know slope (m) = (y₂ - y₁)/(x₂ - x₁).
∴ slope (m) = { 6 - (-2) }/( 7 - 5)
slope (m) = 8/2
slope (m) = 4.
Now the equation can be written as
y = 4x + b.
Putting any of the given pair of points for x and y in y = mx + b.
6 = 4(7) + b
6 = 28 + b
b = - 22.
∴ The required equation is y = 4x - 22.
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One number is six less than a second number. Twice the first is 11 more than 3 times the second. Find the numbers.
The value of the
Answer:
First number is -29.
Second number is -23.
Step-by-step explanation:
Num=second-6
2Num=3second+11
Substitution
2(second-6)=3second+11
2second-12=3second+11
Subtract 2second from 3 second and subtract 11 from -12
-23=second
Num=(-23)-6
Num=-29
If two events, event a with probability p(a) and event b with probability p(b) are complementary events then __________.
If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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please help!
Given an arithmetic progression -8, -3, 2,.... Determine three consecutive terms in this progression which sum up to 111.
Answer:
9th, 10th and 11th terms; 32, 37 and 42=============================
Given AP:
-8, - 3, 2, ...We observe that:
The first term is a = - 8,The common difference is d = -3 - (-8) = 2 - (-3) = 5.Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13The following two terms are:
aₙ₊₁ = 5n - 13 + 5 = 5n - 8aₙ₊₂ = 5n - 8 + 5 = 5n - 3Their sum is 111, set an equation and solve for n:
5n - 13 + 5n - 8 + 5n - 3 = 11115n - 24 = 11115n = 135n = 135/15n = 9The three terms are 9th, 10th and 11th terms and they are:
5*9 - 13 = 45 - 13 = 3232 + 5 = 3737 + 5 = 42write the following sets is roster from and set-builder form 1. set A is the set of the whole numbers less than 5. 2. set B is the set of prime numbers. 3. set C is the set of months that starts with "J". 4. set D is the set of composite numbers less than 10. 5. set E is the set of vowel letters in the word "rhythm".
Answer:
The answer are given below:
Step-by-step explanation:
1. Roaster form
A={0,1,2,3,4}
Set builder form
A={x: x⊂ w, x<5}
2.
Roaster form
B={2,3,5,7,11,13,17,.................}
Set builder form
B={x: where x is a prime number}
3.
Roaster form
C={jan ,june ,july }
Set builder form
C={x: x is month starting with "J" }
4.
Roaster form
D={4,6,8,9}
Set builder form
D={x: where x is a prime number, x<10}
5.
Roaster form
E={null}
Set builder form
E={x: x is null}
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161=wx14
161/14
w=11.5
16. The weather report gives the temperature as 35 degrees Celsius. Fin
equivalent temperature in degrees Fahrenheit. C = (F-32) X
35° = CF-32) F-32=5 (35)
E
■7.
17. A rectangle has perimeter 182 in. and length 52 in. What is the wic
182-104-78
78/2
8. A triangle has base 7 m and area 17.5 m². What is the height?
enVisionTM Algebra 1 Teaching Resources
. A triangle has a base 7 m and area 17.5m squared. What is the height?
Multiply these fractions. Cancel and simplify if necessary
Answer: KCF
Step-by-step explanation: Using this method (just kinda changed?) first change the mixed numbers to improper fractions by multiplying the denominator with the whole number, and adding the numerator to that. Then add a /1 to the regular whole numbers (or the 2nd part of the question) simply multiply both to get the improper fraction. Change into a mixed number as you wish.
If B=-2t+1B=−2t+1 and A=t+9,A=t+9, find an expression that equals 2B+2A2B+2A in standard form.
The value of 2B+ 2A -2t + 20.
what is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
B=-2t+1
A=t+9
we have to find the expression that is equivalent to 2A + 2B
so,
2A + 2B
=2( t + 9) + 2( -2t + 1)
=2t + 18 - 4t +2
=2t - 4t + 18 +2
=-2t + 20
Hence, the value of 2A + 2B = -2t + 20
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The measure of two supplementary angles, ls and lt, are in the ratio of 7:3. find the value of mls.
The value of measure of ls is 126 degrees.
It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.
We have to find the value of measure of ls.
Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.
We know that, the sum of measure of two supplementary angles is 180 degrees.
Hence, according to the data given in the question, we can write,
7x + 3x = 180 degrees
10x = 180
x = 180/10
x = 18 degrees
Hence,
mls = 7x = 7*18 = 126 degrees.
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Question 6(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Approximate 7+√40 to the nearest hundredth.
Answer:
13.32
Step-by-step explanation:
7 + 2 [tex]\sqrt{10}[/tex]
= 13.32456
Rounded to nearest hundredth = 13.32
Which division problem cannot be solved?
Answer:
The last one -4÷0 cannot be answered
Step-by-step explanation:
Answer:
-4/0
Step-by-step explanation:
This is an undefined answer, due to the fact that it would come out as:
0.00000e00000
This would be an undefined problem.
how many mg of vitamin c does tomato juice have per serving?
0
latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters. what are the possible numbers of minutes
latoya could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.
Inequality:
Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given,
Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.
Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.
Let t be the number of minutes.
So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:
=> 16 + 5t ≥ 61
=> 5t ≥ 61 - 16
=> 5t ≥ 45
=> t ≥ 45/5
=> t ≥ 9
So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.
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6j^2-2j-9=0 I need help now
Answer:
6j^2 - 2j = 9
j^2 -(2/6)j = 9/6
j^2 - (2/6)j + 1/36 = 9/6 + 1 /36
(j - 1/6)^2 = 55/36
j - 1/6 = √55/36
j = (√55/36) + 1/6
j = 1.40
Step-by-step explanation:
step 1 transpose 9 and it becomes positive.
step two divide everything by 6 so that j^2 has a coefficient of 1.
step 3 make a perfect square.
Then it's just simple calculations to get the answer