During a restaurant promotion, 3 out of every 25 customers receive a $10 coupon to use on their next visit. If there were 150 customers at the restaurant today, what was the total value of the coupons that were given out?
A)$10
B) $18
C) $150
D) $180
Answer:
$180
Step-by-step explanation:
150 ÷ 25 = 6
6×3 = 18
18×10 = 180
The total value of the coupons that were given out is $180.
Correct option is (D).
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
3 out of every 25 customers receive a $10 coupon to use on their next visit.
Customers at the restaurant today = 150
For 25 customers = 3 coupons
For (25 × 6 = 150) customers = (3 × 6 = 18) coupons
Total value of the coupons = 18 × 10 = $180
Hence, the total value of the coupons that were given out is $180.
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Difference between 42.4 and 3.74
Answer:
38.66
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
26s+24
Step-by-step explanation:
2(3s+9) +2(10s+3)
6s +18+20s +6
26s +24= perimeter
fill in the blank. what number is next 17,255,3825
what is 800 x 900 x 500????
Answer:
its: 360,000,000
Step-by-step explanation:
good luck
Answer:
[tex]3.6 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex]800 \times 900 \times 500 \\ = 8 \times 9 \times 5 \times {10}^{6} \\ = 360 \times {10}^{6} \\ = 3.6 \times {10}^{8} [/tex]
if the sum of two consecutive odd number is 12 find them
Answer:
5 and 7
Step-by-step explanation:
Fast and loose: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7
Let's use algebra: let's call 2n+1 the first and 2n+3 the second.
Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7
Billy Bob just bought a new car his car costs $75,000. how much money will he pay in taxes for the car if the sales tax is 6%?
Answer:
4500
Step-by-step explanation:
Geometry problem, Fill in the blanks with the missing angle measures for the triangle shown.
Answer:
A)60°
B)140°
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
helpppp me pleaseee
Answer:
C
Step-by-step explanation:
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression k – a + h.
Answer:
13
Step-by-step explanation:
k = 12
A= 3
H = 4
So 12-3+4 is 13
Answer:
13
Step-by-step explanation:
Plug in the numbers for the variables.
12-3+4
Then solve in order.
12- 3 = 9
9+4 = 13.
Convert 232 fluid ounces to gallons (1 gallon = 128 fluid ounces)
232 fluid ounces is equal to 1.8125 gallons.
Answer:
Exact: 1.8125
Rounded Answers:
Nearest Thousandth: 1.813
Nearest Hundredth: 1.81
Nearest Tenth: 1.8
Together, Sierra and Gavin earned $5,404. Sierra earned four-sevenths
of the money
5/7 of $5,404 is $3088.
Sierra earned $3088 and Gavin earned $2316
find the slope: x 0 1 2 3 y 4 4 4 4
Answer:
slope is 0
Step-by-step explanation:
it is flat on a graph
ill give u brainlist :)
suppose that prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between 150,000 and 154,200, if the standard deviation is 1,400. a.) 49.85% b.) 47.5% c.) 34% d.) 99.7%
49.85% of buyers paid between 150,000 and 154,200
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.
Given that mean (μ) = 150000, standard deviation σ = 1400
68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)
95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)
99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)
The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%
Hence 49.85% of buyers paid between 150,000 and 154,200
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POINT out the correct ANSWER (Free_
You get 35 points for free by answering one question
How many points do you get by answering this question?
Answer:
40...................................
Answer:
35 points because you said so O-O
The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me
Answer:
Step-by-step explanation:
(x + y)^2 = 144
x^2 + y^2 = 80
----
x + y = 12 ---> y = 12 - x
x^2 + y^2 = 80
x^2 + (12-x)^2 = 80
2x^2 - 24x + 64 = 0
x^2 - 12x + 32 = 0
x = 4, x = 8
y = 8, y = 4
============================
x + y = -12 ---> y = -12 - x
x^2 + y^2 = 80
x^2 + (-12-x)^2 = 80
2x^2 + 24x + 64 = 0
x^2 + 12x + 32 = 0
x = -4, x = -8
y = -8, y = -4
-------------
One number is + or -4, the other is + or -8,
and the absolute value of the sum is 12.
Answer:
(4,8);(8,4);(-4,-8);(-8,-4)
Step-by-step explanation:
Ok, let's start writing down the two conditions:
[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]
Mumble. The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:
[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]
At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.
Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial
[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.
[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]
what is this matrix called
[2,5,6]
Answer:
The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.
5/15 = n/9 someone help me (proportions)
Answer:
n = 3
Step-by-step explanation:
[tex]\frac{5}{15} = \frac{n}{9}[/tex]
Cross multiply
15n = 45
Divide
15n/15 = 45/15
n = 3
give the intersection points of y=x^5 and y=x^7
Step-by-step explanation:
that means both functions deliver the same result for the same x.
therefore
x⁵ = x⁷
one solution is of course, x = 0.
the other(s) we get for x<>0 by dividing both sides by x⁵ :
1 = x²
that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :
x = 1
x = -1
so, the intersection points are
for x = 0, we get y = 0⁵ (or 0⁷) = 0
for x = 1, we get y = 1⁵ (or 1⁷) = 1
for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1
(-1, -1)
(0, 0)
(1, 1)
The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
What is Intersection point?
The intersection point is the point at which the two lines are cuts to each other.
Given that;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Now, Solve for intersection point as;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Equate both equation to each other, we get;
⇒ x⁷ = x⁵
Subtract x⁵ both sides , we get;
⇒ x⁷ - x⁵ = x⁵ - x⁵
⇒ x⁷ - x⁵ = 0
⇒ x⁵ (x² - 1) = 0
This gives two conditions;
⇒ x⁵ = 0
or, ⇒ x² - 1 = 0
Solve both the equations as;
⇒ x⁵ = 0
⇒ x = 0
And, x² - 1 = 0
( x - 1 ) (x + 1) = 0
x = 1 or x = -1
Thus, The values of x are 0 , 1 and -1.
So, The intersection points are;
For x = 0; y = x⁵ = 0
For x = 1; y = x⁵ = 1
For x = -1; y = x⁵ = -1
Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
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this activity, you will practice finding the side lengths and angle measures of various right triangles when given limited Information. Go to the
ght triangle solver e, and complete each step below. This activity will require careful planning of your calculations before you complete them.
sure to think ahead.
.
Generate a new problem for each of the problem types listed in the table. You'll be choosing the unknown (what you're solving for) and the
method to generate the problem. If the problem onscreen does not fit the required type, click the New Problem button until you get a
problem that does fit.
• The program will determine when you've properly constrained a problem and then give you a relevant equation. At this point, review the
information that you're given for the triangle and enter it in the appropriate column. Then enter the correct values into the equation
onscreen by clicking on the correct parts of the triangle.
• Finally, determine your result. Solve for the unknown and enter your solution in the input window provided onscreen. Then paste a
screenshot of your solution in the table.
• Every triangle in this section is a right triangle, so you can assume that one of the angles of each triangle equals 90° as part of your given
information
Answer:
This is the sample answer for plato/edmentum
Step-by-step explanation:
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
This is not urgent, so thank you even if you don’t help.
Answer:
(1/2) and 9/10
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]
Terry buys an orange for 39p.
He pays with a £1 coin.
How much change does he get?
Give your answer in pence.
Answer:
61p
Step-by-step explanation:
There are 100 pence in 1 pound, so subtract 39 from 100 to get the change.
Y=x+2 slope intercept form
Y+3=-1/4x
[tex] \: [/tex]
= m = 1 , b = 1step-by-step explanation
[tex]y = x +2[/tex]
the coefficient is 1[tex]y = 1x + 1[/tex]
identify the slope,since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x
[tex]y = 1x + 1 \: ,m = 1[/tex]
identify the y-intercept[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]
the slope is m=1 and the y-intercept is b=1so the answer to the equation is
[tex] = m = 1,b = 1[/tex]
hope it helps[tex] \: [/tex]
#1
[tex]\\ \sf\longmapsto y=x+2[/tex]
Slope intercept form=y=mx+b
On comapring we get
m=1b=2#2
[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]
[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]
m=-1/4b=-3Which of the following are not polynomials?
Answer:
A C and D are not polynomial
2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend
the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he
can buy?
A. Define the variable.
B. Write tire inequality.
D. Write your conclusion/final answer.
C. Solve for the number of weeks that Keith can
withdraw money from his account.
Answer:
15
Step-by-step explanation:
7x + 2y = -7
11x + 5y = 2
Answer:
x=−3 and y=7
Step-by-step explanation Solve: 7x+2y=−7for x:
7x+2y=−7
7x+2y+−2y=−7+−2y(Add -2y to both sides)
7x=−2y−7
7x
7
=
−2y−7
7
(Divide both sides by 7)
x=
−2
7
y−1
------------
−2
7
y−1forxin11x+5y=2:
11x+5y=2
11(
−2
7
y−1)+5y=2
13
7
y−11=2(Simplify both sides of the equation)
13
7
y−11+11=2+11(Add 11 to both sides)
13
7
y=13
13
7
y
13
7
=
13
13
7
(Divide both sides by 13/7)
y=7
------------------------
Substitute7foryinx=
−2
7
y−1:
x=
−2
7
y−1
x=
−2
7
(7)−1
x=−3(Simplify both sides of the equation)
The HCF of 50 and 80
Find the value of x and angle AKB