Consider adjacent angles that measure (2x+45)∘ and (3x+55)∘. The sum of the measures of these two angles is 135∘.
Question 1
Part A
Write and solve an equation to find the value of x.
HURRRY WILL GIVE BRAINLIEST
Answer:
15
Step-by-step explanation:
Since we can see that the total angle value will be 90 degrees we can write an equation;
30+4x=90
4x=60
x=15
So your answer is 15
(25x^2−40x+18)÷(5x−3)
Answer:
25x^2 - 40x + 18 / 5x - 3
Step-by-step explanation:
25x2−40x+18/
5x−3
Answer:
[tex]5x-5+\frac{3}{5x-3}[/tex]
Step-by-step explanation:
Hope this helps :)
A quantity with an initial value of 750 decays continuously at a rate
of 8.5% per hour. What is the value of the quantity after 147 minutes,
to the nearest hundredth?
Answer:
749.79
Step-by-step explanation:
147 minutes = 2 and 27/60 hours
8.5% times 2 and 27/60 = 0.20825 or 833/4000
750 - 0.20825 = 749.79175
749.79175 to the nearest hundredth = 749.79
Hope this helps.
Answer:609
Step-by-step explanation:
Please helpppppppppo
Jenny and Laura share £30 in the ratio of 3:2 work out how much money jenny gets
Answer:
Jenny gets €18.
Step-by-step explanation:
Jenny gets 3 of every Laura's 2. First you add together both numbers in the ratio. 3+2=5. Then you divide the constant, 30, by the sum, 5. 30/5=6. Then you multiply each number of the ratio by the quotient. 3 x 6=18.
is this a function or not?
Answer:
ummm it think so
Step-by-step explanation:
Answer: i think it is
Step-by-step explanation: am srry if am wrong
determine if the point (4,7) is a solution to the system of equations shown below. Justify your yes/no answer.
y=2x-1 and y=1/2x+5
Answer:
The point (4,7) is a solution to the system of equations.
Please also check the attached graph.
Step-by-step explanation:
Given the system of equations
[tex]y=2x-1[/tex]
[tex]y=\frac{1}{2}x+5[/tex]
Let us solve the system of equations using the elimination method
[tex]\begin{bmatrix}y=2x-1\\ y=\frac{1}{2}x+5\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-2x=-1\\ y-\frac{1}{2}x=5\end{bmatrix}[/tex]
subtracting the equations
[tex]y-\frac{1}{2}x=5[/tex]
[tex]-[/tex]
[tex]\underline{y-2x=-1}[/tex]
[tex]\frac{3}{2}x=6[/tex]
now solving [tex]\frac{3}{2}x=6[/tex] for x
[tex]\frac{3}{2}x=6[/tex]
Multiply both sides by 2
[tex]2\cdot \frac{3}{2}x=6\cdot \:2[/tex]
Simplify
[tex]3x=12[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
Simplify
[tex]x=4[/tex]
For [tex]y-2x=-1[/tex] plug in x = 4
[tex]y-2\cdot \:4=-1[/tex]
[tex]y-8=-1[/tex]
Add 8 to both sides
[tex]y-8+8=-1+8[/tex]
Simplify
[tex]y=7[/tex]
Therefore, the solution to the system of equations is:
(x, y) = (4, 7)
Hence, the point (4,7) is a solution to the system of equations.
Please also check the attached graph.
what is 1,763.6 rounded to the nearest hundredth
Answer:
1,763.6
Step-by-step explanation:
There is no hundredths place, therefore the number would just stay the same.
The decimal number 1,763.6 rounded to the nearest hundredth will remain the same.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The decimal number is given below.
⇒ 1,763.6
In the decimal number, there is no hundredth place, therefore the number would just stay the same.
The decimal number 1,763.6 rounded to the nearest hundredth will remain the same.
More about the rounding of a number link is given below.
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bob shares half of his pizza with 5 friends what fraction of the pizza does each friend get
Answer:
1/10
Step-by-step explanation:
Bob has 1/2
1/2 divided by 5 = 0.1
0.1 = 1/10
Each friend gets 1/10.
A computer virus infects 321
devices on the first day. Each day
after that, the virus infects three
times as many new devices as the
day before. Which of the following
represents the total number of
devices after 17 days?
There are 80 balloons used to make 20 identical gift baskets. What is the unit rate in balloons per gift baskets?
Answer:
4 ballons per basket because
80 ballons divided by 20 baskets is 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
4 balloons per gift basket
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 8th year of living in the apartment?
The monthly rent during the 8th year of living in the apartment will be $2160.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.
Then the monthly rent during the 8th year of living in the apartment will be
Let y be the monthly rent and x be the number of years.
Then we have
y = 170x + 800
The rent after 8 years, then the rent will be
y = 170 × 8 + 800
y = 1360 + 800
y = $ 2160
Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.
More about the linear system link is given below.
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help me plz, I'll mark brainiest
Answer:
1
Step-by-step explanation:
I guess it's the first choice
Solve the equation
1/4y+9=1/2
Answer:
y = -34
Step-by-step explanation:
Step 1
1/4 y + 9 = 1/2
1/4 + 9 - 9 = 1/2 - 9
1/4 y = -17/2
Step 2
4 * (1/4 y) = 4* (-17/2)
y = -34
Hope this helps!!
plzzzzzzzzzzzzzzzzz help
Callie earns money by dog sitting. Based on the table, is the relationship between the amount Callie earns and the number of days a proportional relationship?
What is the value of x?
Answer:
Step-by-step explanation:
Step One
Find the supplement of both exterior angles. They both have angles that add with them to make 180 degrees.
x + 105 = 180 Subtract 105 from both sides
x = 180 - 105
x = 75
y + 148 = 180 Subtract 148 from both sides
y = 180 - 148
y = 32
Step Two
There are two ways to conclude the problem. You could find the value of the 3rd angle of the triangle, or you could notice that x is going to be the sum of the 2 angles you just found. These two angles are called the remote interior angle.
Method One
x = 32 + 75
x = 107
Method Two
32 + 75 + y = 180
107 + y = 180
y = 180 - 107
y = 73
The sum of x + 73 = 180
x = 180 - 73
x = 107
Please help.
Algebra.
Answer:
"?" = 3
Step-by-step explanation:
The answer can be gotten by subtracting 4 from 7. The 4 is the exponent in (4a^4b), and the 7 is the exponent in 16a^7b. So:
7 - 4 = 3
Therefore, the "?" = 3
Hope this helps :)
Answer:
?=3
Step-by-step explanation:
Okay so with exponents, when multiplying exponents with the same base, you add them.
In your case, we have a^? * a^4=a^7 (this is the only part you need to solve)
so ?+4=7
?=7-4=3
Have a nice day!
What is the value of x?
Answer
7, x
Step-by-step explanation:
n x + 2 = 7, x
Simplify 5x ax 5 x a
Answer:2.a
Step-by-step explanation:
Please help ASAP!! Will give brainliest to correct answer!
Answer:
2/4
Step-by-step explanation:
There is a central angle of 90 degrees. What fraction is the sector made by that central angle of the whole circle?
Answer:
270
Step-by-step explanation:
[tex]360 - 90 = 270[/tex]
Which of the following illustrates the Distributive Property?
A. 3(2x + 4) = 5x + 4
B. 3(2x + 4) = 5x + 7
C. 3(2x + 4) = 6x + 4
D. 3(2x + 4) = 6x + 12
Answer:
I think that the correct answer is D 3(2x + 4) = 6x + 12
3(2x + 4) = 6x + 12 illustrates the Distributive Property. Correct option is D.
The Distributive Property states that when you multiply a number by a sum or difference inside parentheses, you distribute the multiplication across each term inside the parentheses.
The correct illustration of the Distributive Property among the given options is:
D. 3(2x + 4) = 6x + 12
This is because when you distribute 3 across 2x and 4, you get 6x for the first term (3 * 2x) and 12 for the second term (3 * 4), resulting in 6x + 12.
To know more about Distributive Property:
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What is the best prediction of the time required for
the oil spill to reach a diameter of 10 km?
A 147 days
B200 days
205 days
D233 days
Answer:
Step-by-step explanation:
It's 205
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.
The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.
The equation at (2.4, 1) will be given as,
2.4 = a (1)² + b (1) + c
2.4 = a + b + c ...1
The equation at (9.4, 2) will be given as,
9.4= a (2)² + b (2) + c
9.4 = 4a + 2b + c ...2
The equation at (21.1, 3) will be given as,
21.1 = a (3)² + b (3) + c
21.1 = 9a + 3b + c ...
Solve equations 1, 2, and 3 with the calculator, then we have
a = 2.35, b = -0.05, c = 0.1
Then the equation is given as,
y = 2.35x² - 0.05x + 0.1
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be
y = 2.35(10)² - 0.05(10) + 0.1
y = 235 - 0.5 + 0.1
y = 235.5
The value of y is nearer to the value of 233. Then the value of y will be 233 days.
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.
More about the quadratic equation link is given below.
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The complete question is given below.
The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.
What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
A) 147 days
B) 200 days
C) 205 days
D) 233 days
how do u find medians to triangles
Answer:What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.
Step-by-step explanation:
Answer:
What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.
Step-by-step explanation:
Can someone help me plz?
Answer: Ethan is incorrect because Graph D is not decreasing but increasing.
Write an equation for it:
Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals to 13
Answer:
2x+3 times 5 - x +8=13
Step-by-step explanation:
off ion know
What is the measure of ∠FIH?
A) 144°
B) 90°
C) 108°
Each square on a chessboard. 2.7 inches on each side. What area of one square on chessboard. HURRY I NEED THIS TMR
The lcm of 120 and n is 2520. Find the smallest value of n.
Please explain the answer. Thank you.
Answer: The smallest value of n is:
n = 21
Step-by-step explanation:
We know that the LCM (least common multiple) between 120 and n is 2520.
We want to find the smallest value of n.
The smallest value of n will be such that n does not share any prime number with 120, then the greatest common factor between 120 and n is 1.
Remember that the LCM between A and B is:
LCM(A, B) = A*B/(GCM(A, B))
Then if the greatest common factor between A and B is 1, we will have:
LCM(A, B) = A*B
Then if the greatest common factor between 120 and n is 1, we have that:
LCM(120, n) = 120*n = 2520
then:
n = 2520/120 = 21
The smallest value of n is n = 21.