Answer:
Number of chicken sandwiches = 150
Number of turkey sandwiches = 150
Number of roast beef sandwiches= 100
Step-by-step explanation:
We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.
Let chicken be x, turkey be y and roast beef be z.
We are told they make 400 sandwiches in total.
Thus;
x + y + z = 400
However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.
Thus, x = y
Thus;
Total is now;
x + x + z = 400
2x + z = 400 - - - (eq 1)
Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.
Thus;
3x + 3.5y + 4z = 1375
Since x = y. Thus;
3x + 3.5x + 4z = 1375
6.5x + 4z = 1375 - - - (eq 2)
Let's make z the subject in eq 1.
Thus;
z = 400 - 2x - - - (eq 3)
Putting 400 - 2x for z in eq(2) gives us;
6.5x + 4(400 - 2x) = 1375
6.5x + 1600 - 8x = 1375
1600 - 1375 = 8x - 6.5x
225 = 1.5x
x = 225/1.5
x = 150
Putting 150 for x in eq 3 gives;
z = 400 - 2(150)
z = 400 - 300
z = 100
Since x = y. Then y = 150
A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation.
The answeris : y=35x+75
What is the value of x? What is the measure of angle 6? Show all of your work and/or explain your answer.
Answer:
1) 5 & 9
5=Corresponding Angle
9=Alternate Exterior Angle
2) 7 & 8
We know 4 is supplementary to 8. Since that is true, 7 & 8 are also.
8=Corresponing angle to 4
7=Verticle angle to 8
3) We know 1 and 3 equal 180
x-20+x+40=180
2x+20=180
2x=180-20
2x=160
x=80
<2=X+20
=80+20
=100
Angle 2 is the same as angles 5 and 6 added together.
We know angle 5 is the same as angle 1 (corresponding angles).
<1=X-20
=80-20
=60
Now that we know <2=100 and <5=60, we can figure out <6
100-60=40
<6=40°
Step-by-step explanation:
1) 5 & 9
5=Corresponding Angle
9=Alternate Exterior Angle
2) 7 & 8
We know 4 is supplementary to 8. Since that is true, 7 & 8 are also.
8=Corresponing angle to 4
7=Verticle angle to 8
3) We know 1 and 3 equal 180
x-20+x+40=180
2x+20=180
2x=180-20
2x=160
x=80
<2=X+20
=80+20
=100
Angle 2 is the same as angles 5 and 6 added together.
We know angle 5 is the same as angle 1 (corresponding angles).
<1=X-20
=80-20
=60
Now that we know <2=100 and <5=60, we can figure out <6
100-60=40
<6=40°
Translate the following into an equation:
"Six added to the product of a and three is two times the difference of a and nine."
WILL CASHAPP¡¡¡
I will cash app the first person $10 that completes these questions correctly
Answer:
A=2
B=1
C=4
D=5
E=3
130 degrees
138 degrees
angle 2 is not alternate exterior to any angle
angle 6
Step-by-step explanation:
sorry about that I don't know what I was thinking
Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?
Step-by-step explanation:
A. For Tavon's gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=145-3.5x------1
for Tavon's second gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=125-3x-------------2
B. equating 1 and 2 we have
145-3.5x=125-3x
solve for x we have
145-125=-3x+3.5x
20=0.5x
divide both sides by x we have
x=20/0.5
x= 40
put x=40 in
y=145-3.5*40------1
y=145-140
y=$5
put x=40 in
y=125-3*40------1
y=125-120
y=$5
A restaurant manager states the number of customers that enter the restaurant is equal to 4
times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also
states that the number of customers that enter their restaurant is equal to 1 times the number of
people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog
from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round
your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.
The number of customers that enter their restaurant is equal to 1 times the number of people that buy a hotdog from the hotdog cart plus 38.
The equation that shows the given condition,
4x + 11 = 1x + 38
x is the no of people
Taking the like terms,
4x-1x=38-11
3x=27
x = 9
So, there are 9 people buying a hotdog from the hotdog cart.
4) After solving a rational equation you must check your solutions in the
original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.
Answer: D) To make sure the value does not make the denominator 0.
We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.
When the midpoints of a polygon with 14 sides are joined by the mid-segments, the resulting inscribed polygon will have how many sides? What if you inscribed another polygon inside the second polygon? How many sides would this new polygon have?
Answer:
im not sure if this is right or not but i think its 23
Step-by-step explanation:
Can you help, Solve for x. -2 + 3x = 2х + 6 +
X
Answer:
trick question
Step-by-step explanation:
The equation cannot be answered since if you add like terms you have 3 x on each side but different total values
please help me and don't just write a random answer for the points. thank you
Answer:
If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck
Step-by-step explanation:
Please help or i get a detention!
Answer:
a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.
b)Angle BXC = 70⁰
Step-by-step explanation:
b) Since XB = XC, triangle BXC is therefore an isosceles triangle.
Angle XBC = Angle XCB
Sum of interior angles of a triangle = 180⁰
55⁰ + 55⁰ + Angle BXC = 180⁰
110⁰ + Angle BXC = 180⁰
Angle BXC = 180⁰- 110⁰
= 70⁰
Point Mis the midpoint of segment AC. Point M is located at (25.5, 60.1), and point Cis
located at (18.3, 72.5).
A
B
M (25.5, 60.1)
D
C (18.3, 72.5)
Find the location of point A. Round to the nearest tenth.
"write your answer as a coordinate with parenthesis and a comma separating the x and y.
value
Answer:
(21.9, 66.3)
Step-by-step explanation:
Given the coordinates A (25.5, 60.1) and C (18.3, 72.5)
The formula for calculating the midpoint is expressed as;
M = {(x1+y1)/2, (y2+y1)/2}
X = (x1+y1)/2
Y = (y2+y1)/2
From the given coordinates A (25.5, 60.1) and C (18.3, 72.5)
x1 = 25.5, y1= 60.1, x2 = 18.3 and y2 = 72.5
X = (25.5+18.3)/2
X = 43.8/2
X = 21.9
Y = (72.5+60.1)/2
Y = 132.6/2
Y = 66.3
The midpoint of the coordinates M will be M(21.9, 66.3)
Estimate 8,633 x 57,008
Answer: 492150064
Step-by-step explanation:
Answer:
Step-by-step explanation:
Round 8633 to 9000
Round 57008 to 57000
Multiply 9 by 57 and place the six zeros beside your answer
9×57= 513
9000×57000= 513000000
Round 685,135 to the nearest ten thousand.
Answer:
690,000
Step-by-step explanation:
The 8 is the ten thousands place- 685,135
If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.
The graph shows the linear parent function . Which statement best describes the function?
A. The function is negative when x<0 and also when x>0
B.the function is never negative
C.the function is negative when x>0
D. The function is negative when x<0
Using function concepts, it is found that the correct option is given by:
D. The function is negative when x<0
How the sign of a function is determined?If the graph is above the x-axis, it is positive.If the graph is below the x-axis, it is negative.In this problem, the graph of the function is the red line, and:
For values of x < 0, the function is below the x-axis, hence it is negative.For values of x > 0, the function is above the x-axis, hence it is positive.Thus, option D is correct.
You can learn more about functions at https://brainly.com/question/25897115
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C gle A, angle B
Answer:
c.gle c.angel B
Step-by-step explanation:
consider the triangle which shows the order of the angles from smallest to largest?
Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?
Answer:
10.59
Step-by-step explanation:
3.53×3
Help? Someone please?!
Answer:
b, d,
Step-by-step explanation:
find the value of the variable (3p-6)
Answer:1/3
Step-by-step explanation:
3p- -5=6
- and - becomes +
3p+5=6
transpose 5 to the other side
3p=6-5
because on transposing + becomes -
3p=1
p=1/3
because multiplication changes to addition on transposing
please mark me as brainly .
A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?
Answer: No its not a right angled triangle. Please mark as brainliest!
Answer:
Yes
Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse
HELP PLEASE WILL GIVE BRAINLIEST!
Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 17 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.
Which inequality represents the given situation?
A.
17 ≤ 2x - 9 ≤ 19
B.
17 ≥ 2x + 9 ≥ 19
C.
17 ≤ 2x - 9 ≥ 19
D.
17 ≤ 2x + 9 ≤ 19
What is the purpose of the AutoSum feature in Microsoft® Excel? A. To automatically add all numbers in all cells in a workbook B. To add a list of numbers in a spreadsheet C. To put a list of numbers in order before finding the sum D. To estimate the total of a list of numbers
Answer:
B. To add a list of numbers in a spreadsheet
Step-by-step explanation:
AutoSum feature in Microsoft Excel is used to automatically sum up a range of numbers within a horizontal row or vertical column without having to input a formula.
When a range of numbers are selected within a row or column, clicking on AutoSum will sum up the numbers in the adjacent empty cell. For example, if you wanted to add the values of cells between B1 and B10, highlight cells B1 through B10 and click the AutoSum button . The sum of B1 to B10 will be given in B11.
In Excel 2010 and later, the AutoSum feature is on the Home tab, in the Editing section.
Max and his brother exercise together. Max does half as many sit-ups as his brother does during a workout. If Max's brother does between 100 and 150 sit-ups, which expression describes s, the number of sit-ups that Max does?
A. 0 ≤ s ≤ 50
B. 50 ≤ s≤ 75
C. 100 ≤ s ≤ 150
D. 200 ≤ s ≤ 300
Answer:C is the correct answer,
Step-by-step explanation:
50 ≤ s≤ 75 describes the number of sit-ups that Max does so option (B) will be correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Max does "s" number of sit-ups then max brother will do "2s".
Now,
Given that,
Max's brother does between 100 and 150 sit-ups
So,
100 ≤ 2s ≤ 150
Divide by 2 into both sides
50 ≤ s ≤ 75
Hence " 50 ≤ s≤ 75 describes the number of sit-ups that Max does".
For more about inequality,
brainly.com/question/20383699
#SPJ2
Find the measure of ∠7.
Given:
∠1 is a right angle
∠3 = 37°
∠8 =62°
A. 53°
B. 65°
C. 105°
D. 127°
E. 245°
Answer:
The answer is B: 65.
Angle 8 + angle 7 = right angle + 37 degree
, 62 degree + angle 7 = 127 degree
, angle 7 = 127 degree - 62 degree
, = 65 degree
Ben and Jerry together own 75 comic books. If Ben owns 31 comic books, how many does Jerry own?
Answer:
44
Step-by-step explanation:
75-31=44
Answer:
44 books
Step-by-step explanation:
75-31=44
simple math
what is 1+3x when x=1
Answer:
4
Step-by-step explanation:
1+3*1
3*1=3
3+1=4
Answer:
the answer is 4
Step-by-step explanation:
you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first
Which of the following is an arithmetic sequence?
-2, 4, -6, 8, ...
2, 4, 8, 16, ...
-8, -6, -4, -2, ...
Answer:
-8, -6, -4, -2
Step-by-step explanation:
This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.
The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.
The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.
Answer:-8,-6,-4,-2
Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on
At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken
per pound?
Answer:
$3.75 per pound of chicken
Step-by-step explanation:
Price of 3 pounds of cheese $ 4.50x3= $13.50
$24.75-$13.50 = $11.25 (price of 3 pounds of chicken)
Chicken : $11.25/ 3 = $3.75 per pound
$11.25 + $13.50 = $24.75
The function f(t) = |98.6-x|, represents a persons's variance from normal body temperature, where x represents a person's current body temperature in degrees Fahrenheit. Medical professionals say healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit.
Answer:
98.1°F ≤ x ≤ 99.1°F
Step-by-step explanation:
Given the function:
f(x) = |98.6 - x|
Variance = 0.5
98.6°F - x = ± 0.5
Lower bound :
98.6 - 0.5 ≤ x
98.1 ≤ x
Upper bound :
x ≤ 98.6 + 0.5
x ≤ 99.1
Hence,
98.1°F ≤ x ≤ 99.1°F
What is the answer to 0.75 (6+d)=12 step by step
Answer:
step 1: 0.75 x 6 = 4.5
step 2: 0.75 x d = 0.75d
step 3: 4.5 + 0.75 = 5.25
It's correct answer
Step-by-step explanation: