2q+8
_____ =10
10
And please explain how you got your answer. My teacher gave me this homework with explanation on how to do it and I still can't seem to figure it out.
Answers
Answer:
q = 46Step-by-step explanation:
[tex]\dfrac{2q+8}{10}=10\\\\\text{We simplify the equation by getting rid of the denominator.}\\\\\bold{multiply\ both\ sides\ by\ 10}\\\\10\!\!\!\!\!\diagup^1\cdot\dfrac{2q+8}{10\!\!\!\!\!\diagup_1}=(10)(10)\\\\2q+8=100\qquad\bold{subtract\ 8\ form\ both\ sides}\\\\2q+8-8=100-8\\\\2q=92\qquad\bold{divide \both\ sides\ by\ 2}\\\\\dfrac{2q}{2}=\dfrac{92}{2}\\\\q=46[/tex]
Related Questions
For the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D. Find the m∠DAC if m∠ADB = 20°, m∠DBC = 60°.
Answers
Answer:
70°
Step-by-step explanation:
If in the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D, then
∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC.Consider triangles ABD and CBD. In these triangles,
∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC;BD ≅ BD.Hence, triangles ABD and CBD are congruent by ASA postulate.
So, AD ≅ DC.
Now, consider triangle ADC. This is an isosceles triangle, because AD ≅ DC. In this triangle, m∠ADC = m∠ADB + m∠BDC = 20° + 20° = 40°. AC is the base. Angles DAC and DCA are congruent as adjacent angles to the base AC, so
m∠DAC = 1/2 (180° - 40°) = 70°
Answer:
m∠DAC = 70°
m∠ACB = 30°
Step-by-step explanation:
What is the length of the side opposite of angle b
Answers
Answer:
B.4 Correct Answer
Step-by-step explanation:
Answer:
4 units B on Edgen
Step-by-step explanation:
Christian and Domonic are shooting baskets at the basketball court in the park. They track their ratios of baskets made to baskets missed. Christian's ratio is 3:4, and Domonic's ratio is 5:2. Which statements are true based on the boys' ratios? Choose all that are correct. For every 3 baskets he misses, Christian makes 4 baskets. For every 3 baskets he makes, Christian misses 4 baskets. For every 2 baskets he misses, Domonic makes 5 baskets. For every 2 baskets he makes, Domonic misses 5 baskets. When Domonic has missed 4 baskets, he will have likely made 7 baskets. When Christian has missed 8 baskets, he will have likely made 6 baskets.
Answers
Answer:
2. For every 3 baskets he makes, Christian misses 4 baskets.
3. For every 2 baskets he misses, Domonic makes 5 baskets.
Step-by-step explanation:
Christian 3:4 ratio
for every 3 made he misses 4
3:4 = 6:8
Dominic 5:2
for every 5 made he misses 2
5:2 = 10:4
square root of 15 rounded to the nearest hundredth
Answers
The square root of 15 is approximately 3.872983346. However, when rounded to the nearest hundredth, it is 3.87.
Explanation:The question is asking for the square root of 15 rounded to the nearest hundredth. The square root of any number is the value that, when multiplied by itself, gives the original number. It's generally represented with the symbol √.
In the case of 15, if you type in your calculator the square root of 15, you get an answer of approximately 3.872983346. However, the student question asks for this value rounded to the nearest hundredth. Thus, you would round this to 3.87. So, the square root of 15 rounded to the nearest hundredth is 3.87.
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Final answer:
The square root of 15 is approximately 3.87 when rounded to the nearest hundredth, following the rules of rounding where you round down if the third decimal is less than 5.
Explanation:
The question asks for the square root of 15 rounded to the nearest hundredth. To find this, we calculate the square root using a calculator, which gives us an approximate value. We then apply the rules of rounding: if the digit after the hundredths place is 5 or higher, we round up, and if it is lower than 5, we round down. This ensures that our answer is as close as possible to the actual square root without exceeding two decimal places.
Performing the calculation, we find that the square root of 15 is approximately 3.87298. Since the third decimal place (after the hundredth) is '2', which is less than 5, we round down. Therefore, the square root of 15 rounded to the nearest hundredth is 3.87.
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#1. An orange contains about 80 milligrams of vitamin C. This is 10 times the amount of vitamin C that an apple contains.
If x represents the amount of vitamin C in an apple, which equation can be used to find x?
Question 1 options:
80x=10
10x=80
10+x=80
80+x=10
#2. Select all the situations that can be represented by the equation 12(x+40)=60.
Question 2 options:
40 more than 50% of a number is 60.
60 is half the sum of a number and 40.
A test is worth 100 points. Each question, x, is worth 12a point.
A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.
#3. A basket contains some apples and oranges. The number of apples is 4 more than 2 times the number of oranges. The total number of pieces of fruit in the basket is 22.
Which equation finds the number of oranges in the basket, x?
Question 3 options:
2x−4=22
2x+4=22
3x−4=22
3x+4=22
#4. The equation 2y+53=165 represents the situation "Joel spends $165 on a pair of jeans and two shirts that were the same price."
What does y represent?
Question 4 options:
Price of one pair of jeans
Number of shirts Joel bought
Price of one shirt
Amount Joel spent on the shirts
#5. Jamar and Henry sell insurance policies. Henry sells 20 policies less than Jamar does. One half of the total policies they both sell is 89.
Does Jamar sell 99 policies? Why or why not?
Question 5 options:
Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.
No, because if Jamar sells x number of policies then the equation representing the scenario is12(2x+20)=89
Yes, because if Jamar sells x number of policies then the equation representing the scenario is 2(2x+20)=89.
No, because if Jamar sells x number of policies then the equation representing the scenario is 2(2x−20)=89 .
Answers
#1: 10x=80
#2: A test is worth 100 points. Each question, x, is worth 12a point.
#3: 2x+4=22
#4: Price of one shirt
#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.
Answer:
hope this helps
Step-by-step explanation:
#1: 10x=80
#2: A test is worth 100 points. Each question, x, is worth 12a point.
#3: 2x+4=22
#4: Price of one shirt
#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.
Please help me with this Algebra 2 question！
Answers
The upper boundary on x is 5. Divide this over each endpoint of the y inequality
5/0.25 = 20
5/4 = 1.25
we see that the first result 20 is largest
This means that the upper bound of x/y is 20.
Therefore b = 20.
----------------------------
The lower boundary on x is -4. Divide this over each endpoint of the y inequality
-4/0.25 = -16
-4/4 = -1
The result -16 is further to the left compared to -1, so therefore it is smaller.
The lower bound of x/y is -16.
This means a = -16.
----------------------------
We found that a = -16 and b = 20. Therefore, a+b = -16+20 = 4
The final answer is 4If x^4-3x+5 is divided by 2x-1,then what is the remainder
Answers
Answer:
[tex] \frac{3 \frac{9}{16}}{2x - 1} [/tex]
Step-by-step explanation:
Use Polynomial Long Division to get this:
[tex] \frac{x^{3}}{2} + \frac{ {x}^{2} }{4} + \frac{x}{8} - 1 \frac{7}{16} + \frac{3 \frac{9}{16}}{2x - 1} [/tex]
The remainder is the quantity being set over the divisor, which is 2x - 1.
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14. CELL PHONES Gabriel pays $40 a month for basic cell phone service. In addition,
Gabriel can send text messages for $0.20 each. Write and solve an equation to find the total
amount Gabriel spent this month if he sends 40 text messages.
Answers
Answer:
Step-by-step explanation:
So first what you need to do is try subtracting 40 and 20 then multiplying 40
Find the quotient.
22 ÷ (-11) (work shown )
Answers
Answer:
-2
*Remember- negative ×/÷ positive= negative. Negative ×/÷ negative=positive.
Explanation:
22÷ -11 (The parenthesis arn't really necessary)
Okay, so you are going to ignore the negative and pretend they are both positive.Divide like normal- how many times does 11 go into 22? 11×2=22. 2 is your answer.Now, is it negative or positive? Look back at the * above. Looking at that, what's your answer? Well, you divided 22 by -11. Negative ÷ positive= negative. Therefore, your answer is -2I hope I was helpful! :D
A. Sydney invests $100 every month into an account that pays 5% APR
compounded monthly. How much money will Sydney have in the
account after 10 years? Round your answer to the nearest dollar.
Answers
Step-by-step explanation:
compound interest --> initial sum × increase^years
the increase is 1 + (percentage increase / 100)
initial sum = 100
increase= 1.05
years= 10
100 × 1.05^10 = 162.8894627...
so Sydney will have 164 dollars (to the nearest dollar)
How is a mouse like grass in a meadow
Answers
A mouse and grass in a meadow are similar as they both play vital roles in the energy flow within a meadow ecosystem. Grass acts as a primary producer, capturing energy from the sun, while the mouse, as a herbivore, acts a primary consumer, eating the grass and moving energy up the chain.
A mouse and grass in a meadow can be seen as similar in the context of a biological ecosystem. In a meadow ecosystem, both play crucial roles.
The grass forms the primary producer layer of the food chain, as it harnesses energy from the sun to produce food via photosynthesis.
This provides the basic energy source for other members of the ecosystem. The mouse, on the other hand, is part of the primary consumer layer of the food chain.
As a herbivore, it consumes the grass for energy, thus transferring the energy obtained from the sun up the food chain. So, the similarity of the mouse and the grass in a meadow lies in their integral roles in the energy flow within an ecosystem.
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Find the quotient of -4 and -9
Answers
Answer:
4/9
Step-by-step explanation:
dividing two negatives equal to a positive so -4 and -9 will be 4÷9 which is 4/9
15) If the point (6, 3) is rotated 180° clockwise about
(2,9), what are the coordinates of the new point?
A. (15,-2)
B. (-2, 15)
C. (1, 12)
D. (12, 1)
Answers
Answer:
B. (-2, 15)
Step-by-step explanation:
Pretend that your fixed point [2, 9] is at the origin for now by translating it two units west then nine units south [0, 0]. Now, the same goes for [6, 3]. Translate it two units west then nine units south to get [4, -6]. Then, according to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:
[4, -6] → [-4, 6]
Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks north then 2 blocks east:
→ [0, 0] back to [2, 9]
Translation
→ [-4, 6] to the new coordinate of [-2, 15]
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One box is 4 feet 9 inches tall, one is 3 feet 10 inches tall, and one is 3 feet 7 inches tall. How high is the stack?
Answers
Answer:
146 in
12ft 2in
Step-by-step explanation:
4ft 9 = 4*12+9=48+9=57
3ft 10 = 3*12+10=36+10=46
3ft 7 = 3*12+7=36+7=43
57+46+43=146
146/12 = 12ft remainder 2
12ft 2in
what is a trinomial?
Answers
Answer:
(of an algebraic expression) consisting of three terms.
Example:
3x2 − 3y2 + 2
(x^2 +9x +20) ÷ (x+5)
Answers
Answer:
x+4
Step-by-step explanation:
Quadrilateral LMNO is reflected over the y-axis. What are the coordinates of the image of the vertex N?
A. (-4, 3)
B. (4, 3)
C. (-4, -3)
D. (4, -3)
Answers
Answer:
B
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
N(- 4, 3 ) → N'(4, 3 ) → B
Answer:
B. (4, 3)
Step-by-step explanation:
Since N is four units to the left of the y-axis, reflecting it would make it four units to the right of the y-axis, so you would base this off of the y-coordinate.
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0.07131 correct to three decimal place
Answers
Answer:
0.071
Step-by-step explanation:
0.07131 rounded to 3 decimal places would be 0.071 (because it is the nearest number to 3 decimal places)
Chad used the table to show the ratios of the different types of sports game cards that he owns. For every 4 defense cards, he owns 2 offense cards. Which graph represents the proportional relationship between his defense and offense cards?
Answers
Only the graph A represents the proportional relationship between the variables.
Given that :
For every 4 defense cards ; there are 2 offense cards :
Defense cards = y
Offense cards = x
For proportional relationship :
y α x
y = kx
k = y/x
k = constant of proportionality
k = 4/2
k = 2
y = 2x
The value of y when x = 4
The value of y when x = 4 When ; x = 4
The value of y when x = 4 When ; x = 4 y = 2×4 = 8
Only graph A gives the proportional value of y when x = 4
Hence, Graph A represents the proportional relationship between defense and offense.
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Final answer:
The correct graph would show a straight line through the origin with a slope of ½, reflecting the 2:1 ratio of defense to offense sports game cards Chad owns.
Explanation:
The subject of this question is Mathematics, and it pertains to the concept of ratios and proportional relationships, which is typically taught at the Middle School level. To determine which graph represents the proportional relationship between Chad's defense and offense sports game cards, we must consider that for every 4 defense cards, he owns 2 offense cards. This establishes a constant ratio of defense to offense cards of 2:1.
A graph that accurately represents this relationship would be a straight line through the origin (0,0) that has a slope of ½, because for every 2 units increased in the defense (x-axis), there should be a 1 unit increase in the offense (y-axis). This is because the graph of a proportional relationship is always a straight line that passes through the origin, and the slope of the line reflects the ratio of the quantities compared.
is 32.725 greater or less than 32.735
Answers
Answer:32.735 is greater
Step-by-step explanation:
The sum of a number and three times the number is 92 . Find the number
Answers
Step-by-step explanation:
Let the number be x
x + 3x = 92
4x = 92
x = 92/4
x = 23
i need your help with a math problem it says three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is 264. Find each score.
Answers
write the equation of each line in point slope form.then graph the line
Slope -1/2, y-intercept 2
Answers
Answer:
[tex]y - 3 = - \frac{1}{2}(x + 2)[/tex]
Explanation:
I chose the coordinate of [-2, 3], and according to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting this coordinate into the formula with their CORRECT signs:
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** It does not matter which coordinate you choose, as long as it falls on the line.
What is the relationship between 7 and -7
Answers
Answer:
14
Have a nice day!!!!!!!! :-)
KA
Answer:
there 14 away from each other
Step-by-step explanation:
ASAAAPPPPP
what is f(x) = 3(x+3)-3
Answers
Answer:
Step-by-step explanation:
[tex]f(x) = 3(x + 3) - 3[/tex]
[tex]f(x) = 3x + 9 - 3[/tex]
[tex]f(x) = 3x + 6[/tex]
F(x)= 3x +9-3
F(x)= 3x +6
Does (9,6) make the inequality y > 6 true?
Answers
No. The inequality is false.
In the given point (9,6) the second number is the Y value.
So if you replace Y with the given Y value of 6, the inequality is now 6 > 6 which is false since, 6 is = 6.
Write 500,000 in expanded form
Answers
Answer:
500,000
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
Expanded Factors Form:
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Expanded Exponential Form:
5 × 105
+ 0 × 104
+ 0 × 103
+ 0 × 102
+ 0 × 101
+ 0 × 100
Word Form:
five hundred thousand
Step-by-step explanation:
Answers above..
four times a number plus three is the same as five plus the number equation
Answers
Answer:
2/3
Step-by-step explanation:
4x+3=5+x
4x-x=5-3
3x=2
x=2/3
Sixty-six times the sum of nineteen plus fourteen in numerical expression
Answers
Answer:
Expression: 66(19+14)
Answer: 2178
Step-by-step explanation:
66(19+14)
66(33)
2178
Answer:
66 x 19 + 14
And because I wanna use my brain, the answer to that equation is 1268
adam drove 280 miles in 4 hours . on average, how fast did he drive in hours per mile ? Express your answer in simplest form
Answers
Adam drove at an average speed of 70 miles per hour.
Explanation:The speed at which Adam drove can be calculated using the formula for speed: speed = distance / time. In this case, Adam drove 280 miles in 4 hours. So to calculate his average speed in hours per mile, we take the provided distance and divide it by the provided time which gives us an average speed of 70 miles per hour.
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