Answer: 4.5 Seconds
Step-by-step explanation:
A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.
● On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52
miles.
● On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of
119 miles.
What is the length of the Green Route in miles?
A .4.4 mi
B. 4.5 mi
C. 6.4 mi
D. 6.8 mi
Answer:
B. 4.5 mi.
Step-by-step explanation:
Let g = length of green route
b = length of blue route
(1) 6g + 5b = 52 (2) 12g + 13b = 119
Mult. (1) by -2 -12g - 10b = -104
3b = 15
b = 5
6g + 5(5) = 52
6g + 25 = 52
6g = 27
g = 27/6 = 9/2
The length of the Green route is 4.5m and the length of the Blue route is 5m and this can be determined by forming the linear equation.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
Let the length of the Green route be 'a' and the length of the Blue route be 'b' then on Monday bus traveled:
6a + 5b = 52 ---- (1)
On Tuesday the bus traveled:
12a + 13b = 119 ----- (2)
Now, solve the equation (1) for 'a'.
a = (52 - 5b) /6 ------ (3)
Now, put the value of 'a' in equation (2).
12 (52 - 5b) / 6 + 13b = 119
b = 5 m
Now, put the value of b in equation (1).
6a + 5b = 52
a = 4.5 m
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Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this? CLEAR CHECK x2+81x+18=54 x2−8x+24=17 x2+9x−24=25 x2+16x+64=36
Answer:
d.) x2+16x+64=36
Step-by-step explanation:
To find - Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?
a.) x2+81x+18=54
b.) x2−8x+24=17
c.) x2+9x−24=25
d.) x2+16x+64=36
Proof -
The correct answer is - d.) x2+16x+64=36
x2+16x+64=36
⇒x² + 8x + 8x + 64 = 36
⇒x(x + 8) + 8(x + 8) = 36
⇒(x+8)(x+8) = 36
⇒(x+8)² = 36
Take square root both sides, we get
√(x+8)² = √36
⇒x + 8 = ± 6
⇒x + 8 = 6, x + 8 = -6
⇒x = 6 - 8 , x = -6 - 8
⇒x = -2, -14
So,
Equation (4) allows her to do the following thing she ants.
pls help me with the answer
Answer:
-27
5
10
-13
Step-by-step explanation:
-9*3=-27 -*+=-
-25/-5=5 -/-=+
7-(-3)=7+3=10 -(-)=+
-2+-11=-13 -+-=-
Brainlytest!!! Easy!
Answer: 20% does chores but don't get allowance (me)
Step-by-step explanation: 5 is 20% of 25.
Answer:
20%
Step-by-step explanation:
5 is 20% of 25
La semana pasada Lol hizo en su pastelería 32kg de bollos de distintas clases. Un cuarto de los bollos de los bollos los vendió a 9 € y el resto a 8,50 € el kilo. Cuanto recaudo en total por la venta ?
Answer:
$276
Step-by-step explanation:
Given that
Last week Lola made 32kg of different kind of bun
The quarter of the bun sold at $9 per kilo
And, the rest would be sold at $8.5 per kilo
We need to find out the amount that should be collected in total from the sale
A quarter of the 32 buns is 8 buns
And, the half of 32 is 16, and half of 16 is 8.
Now If he sold those 8 buns for $9
So, the total amount is
= (8 buns) ($9)
= $72
Now the remaining buns left is
= 32 - 8
= 24 buns
It would be sold at $8.50
So, the total amount is
= (24) ($8.50)
= $204
Now the final amount is
= $204 + $72
= $276
HELP ASAP!!!!!!!!!!!!!
Answer:
a) length of sides remain unchanged
Step-by-step explanation:
16 divided by 1.296
Can you take me through step-by-step on this plz?
Answer:
12.3456790123
Step-by-step explanation:
its hard to explain but you could always use a clculator and no I did not use one. But these are hard I'm a math major
1 2 . 3 4 5 6 7 9
1 2 9 6 | 1 6 0 0 0 .
1 2 9 6
3 0 4 0 .
2 5 9 2 .
4 4 8 . 0
3 8 8 . 8
5 9 . 2 0
5 1 . 8 4
7 . 3 6 0
6 . 4 8 0
8 8 0 0
7 7 7 6
1 0 2 4 0
9 0 7 2
1 1 6 8 0
1 1 6 6 4
1 6
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?
Answer:
5.375 quarts
1.625
Step-by-step explanation:
determine amount of quarts of latex per square feet = 5/200 = 0.025
quart for 215 = 0.025 x 215 = 5.375 quarts
quart for 65 = 65 x 0.025= 1.625
Which rule is correct for translation 2 units right and 6 units down
Answer:
(x + 2, y - 6)
Step-by-step explanation:
When you go right or up it is in the positive.
When you go left or down it is in the negatives.
Answer:
[see below]
Step-by-step explanation:
Two units to the right is adding 2 together to the x value.
6 units down is subtracting 6 from the y-value.
The rule should be:
[tex](x,y)\rightarrow(x+2,y-6)[/tex]
Hope this helps.
97 divided by 7. With long division
Answer:
13 Reminder: 6
Hope this helps!
Answer:
13.857142
Step-by-step explanation:
if you continue from there you will see that you are just repeating yourself from where I wrote 60 then I went to 56 I'll just be repeating myself so I didn't continue I think it ends there.
When drawn in standard position, which of the following angles is coterminal with 125 ?
(1) -275
(3) 235
(2) 485
(4) 415
9514 1404 393
Answer:
(2) 485
Step-by-step explanation:
Computing the values modulo 360 will show which is equal to 125. It is 485:
mod(485, 360) = 125
Angle 485° is coterminal with 125°.
Answer:
1
Step-by-step explanation:
PLZ HELP IM STUCK!!!!!!!!!!
Answer:
A. Because
Step-by-step explanation:
[tex] \frac{3 - 2}{ - 1 - 2} = \frac{1}{ - 3} [/tex]
Please help out will give brainliest
Answer:
17
Step-by-step explanation:
The image is not too clear. Let us assume we need the base AB
AB = opposite
BC = hypotenuse
Sin theta = opp/hyp
Sin 37 = AB/BC
Sin 37 = AB/28
AB = 28sin37
AB = 28(0.6018)
AB = 16.85
AB ≈ 17
Hence the length of AB is 17
please answer asap
Angles a and b are...?
Choose all that apply.
a) Vertical
b) Supplementary
c) Adjacent
d) Complementary
Answer:
Supplementary and Complementary
Help please
Evaluate the expression when a = -9 and b = - 4.
a? - 2(b + 12)
Step-by-step explanation:
a^2 - 2(b + 12)
(-9)^2 - 2(-4 + 12)
81 - 2 (-4 + 12)
79 (-4 + 12)
79 × -4 + 79 × 12
-316 + 948
632
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
the yellow one? not sure tho
Step-by-step explanation:
Answer:
the last one (pentagon)
Step-by-step explanation:
the triangle already has 3 vertices and 3 sides and if she wants to have 8 vertices and 8 sides in total, the second shape would have 5 vertices and 5 sides. therefore, it's the pentagon
Exactly how much pizza crust would be left of a 16" pizza if only of the pizza was eaten for dinner?
The question is incomplete and the value or fraction of the amount of fraction of pizza eaten for dinner isnt Given. Assume the fraction of pizza eaten for dinner = p
Answer:
Kindly check explanation
Step-by-step explanation:
To solve the problem above;
Amount of pizza eaten for dinner = (fraction eaten * total size of pizza)
Amount of pizza eaten for dinner = 16 * p = 16p
Amount of pizza crust left :
(Total size of pizza crust - Amount of pizza eaten for dinner)
Amount of pizza crust left = 16 - 16p
Note that this is just an hypothetical solution because the value represented as p was omitted in the question.
Simply substitute p in the solution with it's exact value to obtain the exact amount of pizza crust left.
Find the area of the polygon.
Answer:
35 sq units
Step-by-step explanation:
The art club is designing a rectangular mural for the school hallway. Three corners are located in a coordinate plane at the following locations: (–1, –1), (–1, 1), and (4, 1).
What is the ordered pair for the fourth corner?
Answer:
That fourth ordered pair is (4, -1)
Step-by-step explanation:
A rectangle is a set of permutations of x and y
x can either be -1, or 4
y can either be -1, or 1
the only one missing from this set is (4, -1)
A 12 oz. can of pinto beans is $2.15. What is the cost per ounce? *
Answer:
$0.18
Step-by-step explanation:
setup proportion and solve for x:
[tex]\frac{12}{2.15} =\frac{1}{x} \\12x = 2.15\\x=0.17916 = 0.18[/tex]
Explain how to find the slope of the line.
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]
Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.
#CMIIWevaluate (1/2)^4 in a whole number
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
[tex] \frac{1}{16} [/tex]
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]
[tex]( \frac{1}{2}) {}^{4} \\ = \frac{1 {}^{4} }{2 {}^{4} } \\ = \frac{1}{2 {}^{4 } } \\ = \frac{1}{16} [/tex]
꧁____❀EDILYN❀____꧂Which of the following inequalities is equivalent to – 9 <4(x - 3)?
Answer:
x>3/4
Step-by-step explanation:
Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3,4,1, -2,-8,7
Approximately what was the average low temperature for the week?
Answer:
-8
Step-by-step explanation:
-7+-3+4+1+-2+-8+7=-8divided by7=-1
Kelly bought three watermelons for the class picnic. The watermelons weighed 124 pounds, 13 pounds, and 15 pounds.
What is the total weight of the watermelons?
Answer:
40/10
Step-by-step explanation:
A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.
Answer:
Population after 6 hours is 2.44 *10^12
Step-by-step explanation:
The geometric population growth formula is
[tex]P = P_0 * e^{kt}[/tex]
Substituting the given values in above equation we get
[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]
Population after 6 hours is 2.44 *10^12
Solve giving your answer in the LOWEST TERMS,
3⅔ × ¾ ÷ 1 5/6
It one whole number 1 and 5/6 but it like like 15/6 but it's not
Answer:
1 1/2 (1 + 1/2)
Step-by-step explanation:
3 2/3 * 3/4 is 2 3/4. 2 3/4 divided by 1 5/6 is 1 1/2.
In the month of January, you were able to sell 1,200 desserts. In February, your dessert sales increased to 1,500. What is the percent changed?
The percentage change or increase of dessert sales has changed by 25%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, In the month of January, you were able to sell 1,200 desserts and
In February, your dessert sales increased to 1,500.
So, The net amount increase is (1500 - 1200) = 300.
Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,
= (300/1200)×100%.
= (300/12)%.
= 25%.
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The measures of two complementary angles are m<1 = 16z- 9 and m<2 = 4z - 1. Find m<2
Answer:12
Step-by-step explanation:
Use the table showing the number of visitors to the art museum each month
A. What is the mean of the data?
B. what is the median
of the data?
C. what is the mode of the data?
Answer:
The answer is C
Step-by-step explanation:
Cause the visitors to the Act got more data