Answer:
$65
Step-by-step explanation:
Let's add up the flat rate and the cost of four tires:
flat rate + 4($122.57/tire) = $555.28
We are to solve for "flat rate." First, multiply out 4($122.57/tire), obtaining a tire cost of $490.28 total. Subtracting this tire cost from the $555.28 Janette paid the shop, we get "flat rate" = $555.28 - $490.28, or $65.
Thus, the installation charge ("flat rate") must have been $65.
Plz help !!!!!!!!!!!!
Answer: [tex]\bold{\dfrac{3\pm \sqrt{65}}{14}}[/tex]
Step-by-step explanation:
[tex]7x^2-3x=2\quad \rightarrow \quad 7x^2-3x-2=0\quad \rightarrow \quad a=7,\ b=-3,\ c=-2\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4(7)(-2)}}{2(7)}\\\\\\.\ =\dfrac{3\pm \sqrt{9+56}}{14}\\\\\\.\ =\dfrac{3\pm \sqrt{65}}{14}[/tex]
Yeah, it seems the right answer!
Find the base and height of a rectangle with vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1). The height is units. The base is units.
ANSWER
The height is 6 units.
The base is 2 units.
EXPLANATION
The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).
To find the height of the rectangle, we use the points (-2,7) and (-2,1) or
(-4,7) and (-4,1) because they form the vertical side of the rectangle.
The height is
[tex]|7-1|=6 units[/tex]
To find the base, use the points (-2,7) and (-4,7) or (-2,1) and (-4,1).
The base is
[tex]|-2--4|=2 units[/tex]
Answer: The base is 2 units and the height is 6 units.
Step-by-step explanation:
You can plot the points (-4, 7), (-2, 7), (-2, 1), and (-4, 1) and obtain the rectangle shown in the figure attached.
As you can see in the figure, the distance between the points of the base is:
[tex]d=\sqrt{(-2-(-4))^2+(1-1)^2}\\d=2[/tex]
Then the lenght of the base is 2 units
The distance between the points of the height is:
[tex]d=\sqrt{(-2-(-2))^2+(1-7)^2}\\d=6[/tex]
Then the height is 6 units
Choose the graph which represents the solution to the inequality:
3x + 8 ≥ 11
Answer:
A
Step-by-step explanation:
A is correct. Subtract 8 from both sides and then divide both sides by 3.
The inequality 3x + 8 ≥ 11 is represented by a line having a close circle at
x = 1 and going towards infinity.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, an inequality of line which is 3x + 8 ≥ 11.
3x ≥ 11 - 8.
3x ≥ 3.
x ≥ 3/3.
x ≥ 1.
This will be represented on a line with a close circle at x = 1 and the line will go towards infinity.
learn more about inequality here :
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In a geometry class,the girl to boy ratio is 10 to 2.if there are a total of 24 students,how many girls are there?
Answer:
20 girls.
Step-by-step explanation:
The girl to boy ratio is 10 to 2.
Insert the multiplier m and write an equation for the total number of students:
10 m + 2 m = 24, or
12 m = 24. Then m = 2.
The number of girls is 10(m) = 10 m = 10(2) = 20.
The number of boys is 2(m) = 4
Note that 20 (girls) + 4 (boys) = 24 (students), as specified.
Note that 20/4 = 10/2, which is the given ratio.
Answer:
20 girls
Step-by-step explanation:
if there are 10 girls to 2 boys when you doble it you get 20 girls to 4 boys but when you add 20 and 4 together you get 24 students
HELP
Every day, Jason runs for 31 minutes and lifts weights for 43 minutes. How many minutes will Jason spend working out in 8 days?
A.
96
B.
592
C.
248
D.
82
Answer:
Every day, Jason runs for 31 minutes and lifts weights for 43 minutes. How many minutes will Jason spend working out in 8 days?
A. 96
B. 592
C. 248
D. 82
Step-by-step explanation:
(31+43) x 8 =
74 x 8 = 592
Answer: The answer would be B!
Step-by-step explanation:
31 minutes for jogging + 43 minutes for weight lifting = 74 minutes in total !
73 minutes a day x 8 days = 592 minutes
Hope this helped ! :)
HELP ASAP PLS!!
Which triangle is a translation of triangle ABC?
A) DEF
B) GHI
C) JKL
D) MNO
Answer:
the answer would be JKL
Step-by-step explanation:
10.5 Tangents. Hw 20
Answer:
Refer to step-by-step.
Step-by-step explanation:
1. x = 4
x + 3 = 7
x = 7-3
x = 4
2. x = 25
We need to use the Pythagorean theorem to find x.
a² + b² = c²
15² + 20² = x²
225 + 400 = x²
652 = x²
√652 = √x²
x = 25
3. x = 12
Line NP and Line QP will have the same measurement.
x = 12
4. x = 29.41
We need to use the Pythagorean theorem to find x.
a² + b² = c²
24² + 17² = x²
576 + 289 = x²
865 = x²
√865 = √x²
x = 29.41
5. NO
We apply the Pythagorean theorem to find if they are tangent.
a² + b² = c²
9² + 40² = 41²
81 + 1600 = 2500
1681 = 2500 NO
6. NO
a² + b² = c²
4² + 12² = 13²
16 + 144 = 169
160 = 169 NO
7. NO
a² + b² = c²
20² + 21² = 28²
400 + 441 = 784
841 = 784 NO
8. YES
a² + b² = c²
14² + 48² = 50²
196 + 2304 = 2500
2500 = 2500 YES
The height of one right circular cylinder is 7 centimeters and it’s radius is 2 centimeters. The height of the second right circular cylinder is 28 centimeters and it’s radius is also 2 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? Please Explain!!
Volume of a cylinder
[tex]\pi \times {r}^{2} \times h[/tex]
larger cylinder: r=2, h=28
volume of larger cylinder lets say (V) :
[tex]\pi \times {2}^{2} \times28 \\ = 4 \times 28\pi =112\pi[/tex]
vokume of smaller cylinder lets say (v): r=2, h=7
[tex]\pi \times {2}^{2} \times 7 \\ = 4 \times 7\pi = 28\pi[/tex]
so the ratio= volume of largercylinder/ volume of smaller
[tex]ratio = \frac{112\pi}{28\pi} \\ = \frac{4}{1} [/tex]
so in ratio terms the
Ans: 4:1
The ratio of the volume of the larger cylinder to the smaller cylinder is 4:1, calculated using the volume formula for cylinders, V = πr²h.
To calculate the ratio of the volumes of two cylinders, we need to use the formula for the volume of a cylinder, V = (πh), where r is the radius and h is the height.
For the first cylinder with a height of 7 cm and a radius of 2 cm, the volume is V₁ = 3.14 (2 cm) (7 cm) = 88.36 cm³.
For the second cylinder with a height of 28 cm and the same radius, the volume is V₂ = 3.14 (2 cm) (28 cm) = 353.44 cm³.
The ratio of V2 to V1 is then 353.44 cm³ / 88.36 cm³, which simplifies to 4:1.
Add 9 to me. Then multiply by 3. If you subtract 16 the add 7, you get 27. What number am I?
Answer:
Step-by-step explanation:
3 because :
3+9=12
12×3=36
36-16=20
20+7=27
Lance lived in Portugal and Brazil for a total of 14 months to learn Portuguese. He learned an average of 130 words per month when he lived in Portugal, and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words write a system of equations to represent this situation. Use x to represent Portugal, and y to represent Brazil.
The equation is [tex]\[ 130x + 150y = 1920 \end{cases} \][/tex]
Let's represent the number of months Lance lived in Portugal as x and the number of months he lived in Brazil as y.
Since Lance lived in Portugal for x months and learned 130 words per month, the total number of words he learned in Portugal is 130x.
Similarly, since Lance lived in Brazil for y months and learned 150 words per month, the total number of words he learned in Brazil is 150y.
We're given that the total number of words Lance learned is 1920. So, the system of equations representing this situation is:
[tex]\[ \begin{cases} 130x + 150y = 1920 \\x + y = 14 \end{cases} \][/tex]
The first equation represents the total number of words Lance learned, and the second equation represents the total number of months he spent in both countries combined.
Find the center of the circle that can be circumscribed about Triangle EFG with E(2, 2), F(2, -2), and G(6,-2).
The center of the circle that can be circumscribed about Triangle EFG with E(2,2), F(2,-2), and G(6,-2) is (2, -2).
Explanation:To find the center of the circle circumscribed about triangle EFG, we can first find the midpoint of EF and the midpoint of FG.
These midpoints will lie on the perpendicular bisectors of EF and FG respectively.
The intersection of these bisectors will give us the center of the circle. Let's calculate it step-by-step:
Step 1: Find the midpoint of EF.
Midpoint of EF = ((2+2)/2, (2-2)/2) = (2, 0).
Step 2: Find the midpoint of FG.
Midpoint of FG = ((2+6)/2, (-2-2)/2) = (4, -2).
Step 3: Find the equation of the perpendicular bisector of EF.
The slope of EF = (0 - 2)/(2 - 2) = undefined. The midpoint of EF is (2, 0).
Hence, the equation of the perpendicular bisector of EF is x = 2.
Step 4: Find the equation of the perpendicular bisector of FG.
The slope of FG = (-2 - (-2))/(6 - 2) = 0. The midpoint of FG is (4, -2).
Hence, the equation of the perpendicular bisector of FG is y = -2.
Step 5: Solve the equations of the perpendicular bisectors to find the center of the circle. Since x = 2 and y = -2, the center of the circle is (2, -2).
Final answer:
To find the center of the circle that can be circumscribed about Triangle EFG, use the midpoint formula and equations of the perpendicular bisectors.
Explanation:
To find the center of the circle that can be circumscribed about Triangle EFG with coordinates E(2, 2), F(2, -2), and G(6,-2), we can use the following steps:
Find the midpoint of each side of the triangle, which will be the center of the circle.
Use the midpoint formula to find the coordinates of the midpoints of EF and FG.
The center of the circle will be the point where the perpendicular bisectors of each side intersect.
Find the equation of the perpendicular bisectors of EF and FG.
Solve the system of equations formed by the equations of the perpendicular bisectors to find the coordinates of the center of the circle.
The center of the circle that can be circumscribed about Triangle EFG is (-2/3, -4/3).
Which expression is equivalent to (3^2)^-2
Answer: 1/81
First you simplify it to 3^-4
Then express it with a positive exponent which goes to 1/3^4
Then evaluate it to 1/81
Answer:
The expression which is equivalent to the given expression is given by :
[tex]\bf\frac{1}{81}[/tex]
Step-by-step explanation:
The expression is given to be :
[tex](3^{2})^{-2}[/tex]
Now, we need to find a expression which is equivalent to this given expression.
[tex](3^{2})^{-2}\\\\\implies (3\times 3)^{-2}\\\\\implies (9)^{-2}\\\\\implies\frac{1}{(9)^2}\\\\ \implies \frac{1}{81}[/tex]
Hence, The expression which is equivalent to the given expression is given by :
[tex]\bf\frac{1}{81}[/tex]
Find the slope of the line
Answer:
4/5
Step-by-step explanation:
Answer: [tex]m= \frac{4}{5}[/tex] or [tex]m= 0.8[/tex]
(0,0) = (x1,y1)
(5,4) = (x2,y2)
Slope= [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{4-0}{5-0}[/tex]
= [tex]\frac{4}{5}[/tex]
As decimal
= [tex]0.8[/tex]
(2x+3y)+(4x+9y) how do I simplify it
Answer: the answer is 6x + 12y
Step-by-step explanation:
6x+12y will be the answer for this!
I will give 15 points
Part A:
Mowing lawns: 1= $12 2= $24 3=$36 4= $48 5= $60
Walking dogs: 1= $9 2= $18 3= $27 4= $36 5= $45
I hope this helps you.
Part A:
-Chart one-
1-12
2-24
3-36
4-48
5-60
-Chart two-
1-9
2-18
3-27
4-36
5-45
Part B:
Plot these with circles (1,12), (2,24), (3,36), (4,48), (5,60)
Plot these with squares (1,9), (2,18), (3,27), (4,36), (5,45)
Plz i need helpPlzzzzz I need help
Answer:
51%
Step-by-step explanation:
Add up the tallies, as follows: 17+24+9+19. Then divide the "cycling" tally (24) by this sum ( 69), obtaining the "observed probability that the customer will want to cycle"): p = 24/69 = 34.7%.
help me please with an explanation please!!!
well there’s 360 degrees in one circle so it’s just 270/360 which is 1/4 . you’re welcome and brainliest would be nice ty
Answer:
¾
Step-by-step explanation:
Your diagram shows that moving the hand 270° covered three of the divisions of the circle.
A circle consists of four equal parts, and you covered three of them.
Thus, 270° is ¾ of a complete turn.
The "to prove" part of the information is the _____ of the "if-then" statement. if then none of the above
Answer:
The correct answer option is 'then'.
Step-by-step explanation:
The "to prove" part of the information is the 'then' of the "if-then" statement.
For example, we have this problem:
[tex] y = 2 x - 1 [/tex]
If [tex] x = 3 [/tex], then find the value of y.
Here in this problem, we are asked that 'if' the value of x is true then prove it by substituting in the value.
Answer:
The answer is Then.
Step-by-step explanation:
The "to prove" part of the information is the THEN of the "if-then" statement.
If is the question like, it is not validated. You are asking something if it holds true.
For example: If it rains heavily, then water bodies fill up.
So, here you are proving that water bodies fill if rains are heavy.
Another example: If a = 3 and b = 6 then a+b = 9
We can see that 3+6=9
Then it is proved that a + b = 9
3 math questions. Answer ASAP! ^
Answer:
1. b ,2.c ,3.b
Step-by-step explanation:
A concession stand sells apple cider for $3.35 a cup and donuts for $2.45 each, on Saturday the stand sold 126 items and made $362.70 how many cups of apple cider did the stand sell
52 cups.
3.35 times 52 equals 174.20
2.45 times 77 equals 188.60
So 52 cups of apple cider were sold in total.
Answer:
The number of cups of apple cider sold was 60 cups
Step-by-step explanation:
We will develop equations to solve this problem.
Let a= price for a cup of apple cider in dollars
Let b= price for a donut in dollars
Let x = number for cups of apple cider sold
Let y= number of donuts sold
Let z = number of items sold on the day = 126 items
Let v = total money made = $362.70
Lets write two equations. One in terms of the amount of items sold of cups of apple cider and donuts, and one in terms of how much money was made for selling cups of apple cider and donuts.
z = x + y
x = z- y (1)
v = ax + by (2)
we substitute equation 1 in to equation 2
v = a(z-y) +by = az -ay +by = az +y(b-a)
solve for y
y = (v-az)/(b-a) = (362.70 - 3.35×126)/(2.45-3.35) = 66 donuts were sold
therefore x = z-y = 126-66 = 60 cups of apple cider were sold
PLEASE HELP QUICKLY
Which is the graph of y =
√x-5-1 ?
graph A
graph B
graph C
graph D
Answer:
Step-by-step explanation:
Answer:
The answer is graph D.
Your welcome:))))
A new photocopier works 4 times as fast as an old one. When the machines work together, a university can produce all its staff manuals in 28 hours. Find the time it would take each machine, working online, to complete the job.
The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.
In one hour they can make 1/28 of the manuals.
1/(28*5)=1/140 is the rate.
The new photocopier can make all the manuals in 4/140 or 35 hours.
The old one can make them in 140 hours.
Solve the exponential equation. Write the exact answer with natural logarithms and then approximate the result correct to three decimal places.
[tex]5^{1-x} =2^{x}[/tex]
I was able to start it, but I somehow got [tex]log_{5}2=0[/tex], and I don't think that's right.
Answer:
Fraction form: x = ln(5)/ln(10)
Decimal form: 0.69897000
please mark brainliest
Match the following.
1 .
absolute value
the distance from zero on the number line
2 .
inequality
the number of units between two numbers or points, regardless of direction
3 .
opposite numbers
two numbers that are the same distance from zero on the number line but in opposite directions
4 .
distance
sentence showing a relationship between numbers that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠
Answer:
Distance - The number of units between two numbers or points, regardless of direction.
Inequality - Sentence showing a relationship between numbers that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠
Opposite numbers - Two numbers that are the same distance from zero on the number line but in opposite directions.
Absolute Value - The distance from zero on the number line.
The question matches mathematics concepts like absolute value, inequality, opposite numbers, and distance.
Explanation:Absolute value: the distance from zero on the number line.Inequality: a sentence showing a relationship between numbers that are not necessarily equal; uses symbols like >, <, ≥, ≤, or ≠.Opposite numbers: two numbers that are the same distance from zero on the number line but in opposite directions.Distance: the number of units between two numbers or points, regardless of direction.Learn more about Mathematics here:https://brainly.com/question/26854035
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Identify if each of triangles below is congruent or not. Remember that the diagram may not be drawn to scale. Justify your conclusion.
Answer: ¨A¨ is congruent due to SSS. ¨B¨ is not because corresponding sides are not congruent. ¨D¨ is congruent due to AA. Can´t see all of ¨C¨
Step-by-step explanation:
Emma’s total bill for dinner was $20. The cost of her dessert was 30% of the total bill. What was the cost of her dessert?
$6 was her dessert. you do 20x0.3=6
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
(-2,-3); maximum
(-2,-3); minimum
(-3,-2); maximum
(-3,-2); minimum
ANSWER
(-2,-3); minimum
EXPLANATION
The vertex is the minimum or maximum point on a parabola.
The graph of the function opens upwards.
Therefore the vertex will be the minimum point on the graph.
From the graph, the minimum point is (-2,-3).
Therefore the vertex is (-2,-3).
The second choice is correct.
Check my answers please thank you
16-20 are correct. Remember to mark the first #20 as A
The last #20 is wrong. The answer is B. 95 minutes.
10:55 - 11:00 = 5 minutes
11:00 - 12:00 = 60 minutes
12:00 - 12:30 = 30 minutes
Total = 95 minutes
17,076 ÷ 29
Plz help me solve this is so urgent wiil give brainliest
i think it is 588 but I am not 100percent sure
Answer:
588.827
Step-by-step explanation:
Planes Q and R are parallel. Lines a and b are shown on planes Q and R, respectively. Which statement is true about lines a and b?