Given:
The total cost of making a daily taco special for a restaurant is represented by the function
[tex]C(t)=2.5t+1[/tex]
Where t is the number of tacos made.
To find:
The total cost change for every taco special the food truck makes.
Solution:
We have,
[tex]C(t)=2.5t+1[/tex]
Here, 1 is a constant because it is free from the variable and 2.5 is the coefficient of t.
It means, 1 represents fixed cost of making tacos but 2.5t changes with respect to t. Thus, 2.5 represents the addition cost of every taco special the food truck makes.
So, $2.5 is the total cost change for every taco special the food truck makes.
Therefore, the correct option is b.
6 A pair of adjacent angles is formed by lines
AD and CE.
What is the measure of angle ABC?
F 145°
G 217
H 85°
J Not here
Answer:
x° = 145°
Step-by-step explanation:
x° + (2x - 255)° = 180°
3x = 180 + 255
3x = 435
x° = 145°
The sum of the first n consecutive even numbers can be found using S=n^2+n where n ≥ 2. What is the value of n when the sum is 210?
Answer:
n = 14Step-by-step explanation:
Given the sum of the first n consecutive even numbers expressed as
S=n^2+n where n ≥ 2.
If S = 210, then;
210 = n² + n
n² + n - 210 = 0
Factorize
n = -1±√1²-4(-210)/2
n = -1±√1+840/2
n = -1±√841/2
n = -1±29/2
n = -1+29/2 and -1-29/2
n = 28/2 and -30/2
n = 14 and -15
Since n ≥ 2, hence the required value of n is 14
Help with number 20.
8 = 6 + a/4 a=___ help
Answer:
a=8Step-by-step explanation:
6+a/4 = 8a/4=8-6a=4×2a=8find x=, if x+1=11 hurry!!
Answer:
x = 10
Step-by-step explanation:
x + 1 = 11
x = 10
Please help me !!!!!!!
Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Ok so,
let's try to plug in the first ordered pair into the equation. It should look like this:
11 = 8+3
11=11 CORRECT
now let's try to plug in the second ordered pair. it should look like this:
-5 = -8+3
-5 = -5 CORRECT
hope this helps. have a good day!!
Enter the correct answer in the box.
Simplify the expression
Answer:
guy above me is wrigth. If you have any doubts see the picture.
Step-by-step explanation:
Hope it helps and mark as brailiest pleasee
h is 60% of m.
Also, r is 75% ofm.
Work out h as a percentage of r.
Answer:
h=0.6m
r=0.75m
h=0.6m/0.75m*100 percent of r.
h=6000/75% of r
h=80% of r
Step-by-step explanation:
The expression of h as a percentage of r would be as; 80% of r.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
WE are given that h is 60% of m.
Also, r is 75% of m.
WE need to find out h as a percentage of r.
Therefore, h=0.6m
r=0.75m
Now we can write as;
h = 0.6m/0.75m x 100 percent of r.
h = 6000/75% of r
h = 80% of r
Hence, the expression of h as a percentage of r would be as; 80% of r.
Learn more about percentages;
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The sail on the sailboat shown below forms a right
triangle whose hypotenuse has length 13 feet and
whose vertical side has length 12 feet. If cloth for the sail costs $10 per square foot, what is the cost of the
sail?
Answer:
5
Step-by-step explanation:
Urgent please help..
B = (-2, 2)
May Nilbin Be With You
Answer:
B' = (-6, 6)
Step-by-step explanation:
Dilation = Multiplying the coordinates of points by the scale factor.
B = (-2, 2)
B' = (-6, 6)
^ Multiply each coord by the scale factor (3)
Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer
In the following equation, when x=3, what is the value of y? -4x + 3y = 12
Answer:
The answer is y = 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
~Hoped this helped~
~Brainly, please?~
if An atom has 10 protons, 11 neutrons, and 9 electrons. What is the atomic number of this atom?
A) 9
B) 10
C) 11
D) 21
Answer:
B
Step-by-step explanation:
Atomic number is equal to the number of protons in an atom.
pls help me it will make my day because, this is due tomorrow and I don't want to fail. no one helps me ❤️
Answer:
The slope is 2
Step-by-step explanation:
To solve for slope, it's: y2-y1/ x2-x1.
The points can be (1,0) and (2,2) since they intersect with the slope.
You plug the points into the equation which is 2-0/ 2-1.
This will give you 2/1 or just 2.
Or you can just do rise over run. The slope is going up by 2 and across by 1.
13 less than fourteen times a certain number is twenty-nine more than 7 times that number. What is the number? (I only need the answer)
A. 12
B.6
C.7
D.9
Answer: B. 6
Step-by-step explanation:
Let x be the [certain number]
Rephrase the expression
13 less than fourteen times a certain number is twenty-nine more than 7 times that number
14x-13=7x+29
Calculate
Given
14x-13=7x+29
Add 13 on both sides
14x-13+13=7x+29+13
14x=7x+42
Subtract 7x on both sides
14x-7x=7x+42-7x
7x=42
Divide 7 on both sides
7x/7=42/7
x=6
Hope this helps!! :)
Please let me know if you have any questions
From a group of 280 children, 14 made the swim team. What percent of the children is this?
PLEASE HELP, ILL GIVE BRAINLIEST
Answer:
5%
Step-by-step explanation:
14/280 is 5%. (Brainliest pls?)
Answer: I think it is 39.2 percent
Step-by-step explanation:
In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon
Answer:
18 sides.
Step-by-step explanation:
The interior and exterior angles sum to 180 so:
I + E = 180
also I - E = 140 (given)
So, adding to eliminate E:
2I = 320
I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.
Since the sum of all exterior angles in a polygon = 360 degrees
- the number of sides = 360 / 20 = 18.
The cost of every college is expected to increase 3.5%
next year.
The cost to attend Westish College is currently $18000.
What is the expected cost to attend Westish College
next year?
Answer:
$18,630
Step-by-step explanation:
The cost of every college is expected to increase 3.5% next year.
The cost to attend Westish College is currently $18000.
What is the expected cost to attend Westish College next year?
The increase in the cost for next year is calculated as:
3.5 % × Current cost
= 3.5% × $18,000
= $630.
The expected cost to attend Westish college next year=
$18,000 + $630
= $18,630
whoever answers right gets brainliest
Answer:
37
Step-by-step explanation:
Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37
together dien and jane eat 2/3 a pizza in 4 seconds. how long would it take each of them to eat the whole pizza alone if jane can eat a pizza 5 seconds faster than dien?
BRAINLIEST WILL BE GIVEN
Answer:
10 secs for Jane and Dien is 15 secs
Step-by-step explanation:
Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are:
Dien's rate: 1/x+5.Jane's rate: 1/x.Together rate: (2/3)/4 = 1/6Hence:
[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]
[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]
[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]
[tex]x^2 - 7x - 30 = 0[/tex]
[tex](x - 10)(x + 3) = 0[/tex]
The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
More can be learned about the together rate at https://brainly.com/question/25159431
Multiply Rachel's weekly earnings by the number of weeks to find her total earnings for the summer. *
Answer: $3,076.88
Step-by-step explanation:
Rachel earns $384.61 per week that she works and she worked for 8 weeks.
Her total earnings are therefore:
= Weekly pay * Number of weeks
= 384.61 * 8
= $3,076.88
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
Answer:
The equation for this slope will be y=7x-5
Step-by-step explanation:
Hope this helped
TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the building. Find the height of the pole?
Answer:
The answer is 65.75
Step-by-step explanation:
Since tq is perpendicular to PR then qtsr becomes square
Then
[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]
Since the triangle pqt is right angled
Then
[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]
Then the height of the pole is equal to
[tex]pq + qr = 35.75 + 30 = 65.75[/tex]
Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)
Answer:
D. (x - 9)(x+5)
Step-by-step explanation:
[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.
First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.
So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.
B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B
It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.
Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.
The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.
To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.
We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.
Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.
This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.
To learn more about the quadratic equation;
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7 + 2X = 5
3
..... zzzzzzzz
Answer:
23
Step-by-step explanation:
please mark brainliest
Answer:
x = 23
Step-by-step explanation:
7 + 2x = 53
7 + 2x - 7 = 53 - 7
2x = 46
2x / 2 = 46 / 2
x = 23
Hope this helps
Maybe brainliest?
URGENT HELP NEEDED!!!
Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
Answer:
[tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]
Step-by-step explanation:
Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
A = The square of the sum of a and b is [tex](a+b)^{2}[/tex]
B = The cube root of the product of x and 3y is [tex]\sqrt[3]{x . 3y}[/tex]
They want us to subtract B from A so B - A, therefore the following.
[tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]
Find the product of (x − 3)2.
x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9
Answer:
The answer is number 3
Step-by-step explanation:
[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]
Answer:
answer- 3
Step-by-step explanation:
9(x−3)
2
=x
2
−6x+9
ILL GIVE U BRAINLYIST
Answer:
C a rectangle 4 by 3
Step-by-step explanation:
50 POINTS HELP PLS ASAP
Answer:
G
Step-by-step explanation:
B
27 m
24 m
18 m
List angles largest to smallest
Answer:27,24,18
Step-by-step explanation:
sorry if it’s wrong but I think so