A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days?
Answer:
8: 207
x: 143
and solve that to get your answer
The required answers are-
(a) The crew been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation to pave a road is,
L(d) = 207– 8d
where, length, L (in miles), and d days.
(a) For 143 miles of the road is left to be paved, the number of days is given as-
Put Length L(d) = 143 in the equation to pave a road
we get,
143 = 207– 8d
or, 8d = 207– 143
or, 8d = 64
or, d = 64/8
⇒ d = 8 days
So, The crew have been paving the road for 8 days.
(b) miles of the road have left for the crew to pave after 13 days.
Put d = 13 days in the equation to pave a road
we get,
L(d) = 207– 8*13
or, L(d) = 207– 104
⇒ L(d) = 103 miles
So,103 miles of the road have left for the crew to pave after 13 days.
Thus,The required answers are-
(a) The crew have been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
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JACK'S bag weighed 10.5
Pounds and William's bag
weighed 10.05 POUNDS.
Who's bag weighed more?
How much more did it
weigh?
A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation
Answer:
you can buy 6 pounds of apples
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that apply. (8+2 4+2 A. 8+ (2 - 4) + 2 B. 8.4 + 2 + 2 C. (8 + 2). (4+2) D. (8. 4) + (24) + 2
The value of the equation A = ( 8 . 4 ) + ( 2 . 4 ) + 2 = 42
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 8 + 2 ) . 4 + 2 be equation (1)
On simplifying the equation , we get
A = ( 10 ) 4 + 2
A = 40 + 2
A = 42
Substitute the value of A as
A = ( 8 . 4 ) + ( 2 . 4 ) + 2
On simplifying the equation , we get
A = 32 + 8 + 2
A = 40 + 2
A = 42
Hence , the equation is A = ( 8 . 4 ) + ( 2 . 4 ) + 2
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Let event A be defined as a randomly selected vehicle being silver or black. Let event B be defined as a randomly selected vehicle being a car or a truck. Find P(NOT B | A).
Answer:
i think its c in my opionion not sure tho
Answer:
D. 13/36
Step-by-step explanation:
Help me please! This is so confusing!
Answer:
a) yes, 2, 1/2
b) b = 2t; t = 1/2b
Step-by-step explanation:
a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...
b = 2t
This is of the form required for a proportional relation: y = kx, with a value of k=2.
__
If we divide the above equation by 2 on both sides, we get ...
1/2b = t
This is also a proportional relation, with a constant of proportionality of 1/2.
Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.
__
b) As we saw above, the equations can be ...
b = 2t
t = 1/2b
Describe in words a sequence of transformations that maps ABC to A' B' C
Write an ordered-pair rule for this sequence of transformations.
Answer:
A reflection over the y-axis followed by a translation 4 units down
Step-by-step explanation:
hope this helps!
a function is given, 2^x + 3. find f(-2)
Answer:
2_3_4_4/547767()9897568. thank
Help me please guys hurry!!!
Answer:
1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!
Step-by-step explanation:
1 1/16 divided by 1 1/16
Answer:
1
Step-by-step explanation:
A child’s ladder is made of 2 sections. Each section is 3/4 meters. How long is the ladder when all 2 sections are extended to make
one ladder?
Answer:
as a mixed fraction it would be 1 2/4 and as an improper fraction it would be 6/4
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 52.5 miles to km.
PLEASE HELP NO TIME FOR LINK!!!
Answer:
Step-by-step explanation:
52.5 mi(8 km/5mi) = 84 km
pls help me solve the missing answers thanks!
Answer: I'll give you formula
Step-by-step explanation: circumference = 2 x π x radius
radius = diameter÷2 area = π × radius²
What’s 28.50 simplified
Answer:
28.5
Step-by-step explanation:
hope this helps
Answer:
57/2
Step-by-step explanation:
I don't understand the context of this.
a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian contains 15% vinegar. The chef wants to make 390 mL of a dressing that is 8% vinegar. How much of each brand should she use?
Answer:
273 mL of 5%117 mL of 15%Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
__
Additional comment
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
Match question I need help
Please.
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Evaluate the expression for the given variable values.
3∣m+2n∣2−(mn)2 if m=3 and n=−5
9÷108 please tell me
Answer:
108 ÷ 9 = 12
Step-by-step explanation:
Answer:
0.083333333333333
Step-by-step explanation:
pls help me find the missing angle
Answer:
b=114
c=43................
cual de estas fracciones es mayor que 2/5?explica como lo has averiguado
Answer:
33333
Step-by-step explanation:
A gopher is in a hole that is 6 1/4 in. below the surface of the ground. It then digs 7 1/2 in. deeper. What is the gopher’s new elevation relative to the surface of the ground? Show your work.
Answer: 13 3/4
Step-by-step explanation:
The gopher’s new elevation relative to the surface of the ground will be
[tex]13 \frac{1}{4}[/tex] inches.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
A gopher is in a hole that is [tex]6 \frac{1}{4}[/tex] in. below the surface of the ground.
And, Then digs [tex]7 \frac{1}{2}[/tex] in. deeper.
Now,
The gopher’s new elevation relative to the surface of the ground will be calculated as;
⇒ [tex]6 \frac{1}{4} + 7 \frac{1}{2}[/tex]
⇒ 25/4 + 15/2
Make denominators same as;
⇒ 25/4 + 30/4
⇒ (25 + 30) / 4
⇒ 55 / 4
⇒ [tex]13 \frac{1}{4}[/tex] inches.
Thus, The gopher’s new elevation relative to the surface of the ground will be [tex]13 \frac{1}{4}[/tex] inches.
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PLZ HELP MEEEEEEE I'LL MARK BRAILIEST
Answer:
D
Step-by-step explanation:
Please mark brainliest
hope it helps
Answer:
D
Step-by-step explanation:
I just know
What is the answer to
2 3/8 - 1 5/8 =
Answer:
6/8
Step-by-step explanation:
you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8
reduce if you can
Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know
Answer: Yes
Step-by-step explanation:
A: 12 minutesAnswer to B: 36 minutesAnswer to C:
Someone please help...I hate IXL smh
Answer:
The slope is 10.
Step-by-step explanation:
It starts at 30, then 40, then 50 and so on so forth.
That being said the answer is 10.
Also, I hate IXL as well, but, I hope I helped.
Let me know if I got it correct.
- Abigail (:
y=x+30 is the equation of the line in slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The points through which the line passes is (0,30) and (20,50).
Slope = 50-30/20-0
=20/20
=1
Now let us find the y intercept.
Let us consider any point (0, 30).
30=1(0)+b
b=30
Hence, y=x+30 is the equation of the line in slope intercept form.
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A child is chosen at random from the group.
a)
What is the probability that the chosen child is a girl?
Give your answer as a fraction.
b)
What is the probability that the chosen child is a left-handed girl?
Give your answer as a fraction.
Answer:
A. 2/5
B. 1/10
Step-by-step explanation:
First off we need to calculate the probability that the chosen child is a girl So to calculate this probability, we have to know the num. of girls which is seen in the table. There are a total of 8 girls.
Therefore the probability of a girl being chosen is equivalent to the number of girls/exact number of children = 8/20 = 2/5 simplified.
Now to find the probability that the chosen girl is left-handed.
The amount of left-handed girls there is only 2. therefore the probability of selecting a left-handed girl will be 2/20 = 1/10 simplified.
Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?
B u A = 48
B = 45
The part of set B not included in A is B - A∩B = 45 - 7 = 38
Since B u A = 48, A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).
------
Alternatively, the inclusion-exclusion principle may be used: A + B - (A ∩ B) = A u B
A + 45 - 7 = 48
A = 48 - 45 + 7
A = 10
NOTE that I'm using A and B to indicate the number of elements in each set, respectively.
More formally, one would write |A| and |B| to indicate the cardinality (number of elements) of the set.
Help help math please help help help help
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x
Which is greater, -6.4 or -6.5? please explain !!
Answer:
-6.4 is GREATER.
The number closest to 0 is greater.
If the parent function is y = 4x, which is the function of the graph?
Answer: y=3(4)x
Explanation: I took the test
The function represented in the graph is y = 3 (4ˣ).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
From the given graph, consider any point.
Consider the point (0, 3).
That is, when x = 0, the value of y is 3.
We have the parent function as,
y = 4ˣ
Then the function represented will be of the form,
y = m (4ˣ)
Substitute the point (0, 3).
3 = m (4⁰)
3 = m × 1 [since any number raised to 0 is 1]
m = 3
So the function is y = 3 (4ˣ).
Hence the function is y = 3 (4ˣ).
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