Answer:
Hotdogs is 10
and Tacos 8 in numbers purchased
Step-by-step explanation:
Step one:
given data
Le x represents the number of hotdogs purchased
and y represents the number of tac
hotdogs = $4 each
and tacos = $2.50 each
The total amount at hand = $60
Step two:
The systems of the equations for the situation is given as
4x+2.5y= 60---------1
x+y=18-----------------2
Required
The number of Hotdogs and Tacos purchased
from 2
x= 18-y
put x= 18-y in eqn 1
4(18-y)+2.5y= 60
72-4y +2.5y=60
collect like terms
-4y+2.5y=60-72
-1.5y= -12
divide both sides by -1.5
y= -12/-1.5
y= 8
put y= 8 in eqn 2
x+8=18
x= 18-8
x= 10
Enter the correct answer in the box.
Consider this expression.
I2+ i - 72
Replace the values of a and b to rewrite the glven expression.
(x + a)(x+b)
Answer:
(x-4.72)(x+5.72)
Step-by-step explanation:
I2+ i - 72
is it i^2+i-72?
(x-4.72)(x+5.72)
Mary is paid $600 for 5 days of work. How much is she paid per day
Answer:
$120
Step-by-step explanation:
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
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PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
[tex]\displaystyle m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 8)
Point (5, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{5-8}{5-6}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-1}[/tex][Fraction] Divide: [tex]\displaystyle m=3[/tex]Answer:
3
Step-by-step explanation:
-3/-1 = 3
the slope of a line passing through (6,8) and (5,5) is 3.
Please help me asap thank you!
Answer:
6 and 7
Step-by-step explanation:
--_45"gfsu. tc. jkk
Answer:
6x-7
Step-by-step explanation:
1/3x12x=4x
1/3x6x=2x
1/3x21=7
4x+2x=6x
What decimal represents 1/4
Question 11 (1 point)
Use the following data to solve the problem.
Corn Field = 400 feet by 60 feet
Wheat Field = 700 feet by 200 feet
Barley Field = 200 feet by 200 feet
What is the area of the corn field?
Use square feet as your label and put a space between the number and
the label. Be sure to include a comma in your answer.
Blank 1:
Fill in the blanks of the equation from the
given information.
The slope of the line is -3 and
goes through the point (13, 4).
Answer:
We conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.
Step-by-step explanation:
Given
The slope of the line = m = -3The point = (13, 4)Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -3 and the point (13, 4)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 4 = -3(x-13)[/tex]
Add 4 to both sides
[tex]y-4+4=-3\left(x-13\right)+4[/tex]
Simplify
[tex]y=-3x+43[/tex]
Therefore, we conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.
Helppp this is timed!!
Answer:
The answer must be D
Step-by-step explanation:
When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.
Solve the inequality.
140 < -20j
Answer:
J < -7
Explantion:
Rewrite so J is on the left side
-20j > 140
Divide each term by -20 and simplify
j < -7
Simplify the following rational expression.
X^2- 16x +64
———————
4x^2 -36x+32
Which values of I make the expression undefined?
9514 1404 393
Answer:
(x-8)/(4x-4) x ≠ 1 or 8
Step-by-step explanation:
Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.
[tex]\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}[/tex]
The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.
A store pays $119 for a scooter. The store marks up the price by 40%.
What is the new price (nearest penny)?
Answer:
Step-by-step explanation:
if the store marks up the price by 40%
119*(40/100)=47.60
119+47.60=166.60
URGENT PLEASE HELP 30-60-90 DUE TODAY PLEASE HELP IMPORTANT MATH
Answer:
Step-by-step explanation:tha answer is -120
What is 30 ÷ 14 written as a fraction?
Answer: A fraction is Quite literally division so 30 divided by 14 is 30/14 as a fraction, you can also simplify that to 15/7
The value of the expression is 15/7.
What is division?Division is the process of dividing a number by a given number.
The given expression is 30 ÷ 14.
Solve the expression as follows:
30 ÷ 14
= 30/14
= 15/7
Hence, the value of the expression is 15/7.
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TIMED Be FAST PLS
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.
How many unique random numbers must be read from the table of random digits?
A 5
B 15
C 60
D 75
Answer:
C
Step-by-step explanation:
Trust me just took the test
75 unique random numbers must be read from the table of random digits
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.
There are 75 students in the school who can participate in the experiment.
0 - 4 and 1 - 5 aren't enough.
0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.
Hence, 75 unique random numbers must be read from the table of random digits
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Find the length of WZ
a. 25
b. 18
c. 9√2
d. 9
Answer:
18
Step-by-step explanation:
wz/18√2 = sin 45° = √2/2
wz = 18√2 x √2 / 2 = 18
- A bakery received 2 shipments of
sugar, each weighing 22.56 pounds.
If the manager divided all the sugar
equally among 24 canisters, how
many pounds of sugar did the
manager put in each one?
Answer:
1.88 pounds
Step-by-step explanation:
First, find the total amount of sugar, since there were 2 shipments
22.56(2)
= 45.12
Then, divide this by 24:
45.12/24
= 1.88
So, each canister had 1.88 pounds of sugar
PLS HELP WILL MARK BRAINIEST
Determine which car gets the better gas mileage (picture below)
Answer:
Car A
Step-by-step explanation:
All you have to do is find the rate of change
Distance Gallons
300 8
320 10
Car A
300 : 8
37.5 : 1
Car B
320: 10
32 : 1
37.5 > 32
So Car A gets the better gas mileage.
Hope this helped!
I need help with this problem, you don't have to tell me the answer as long as you can explain to me how to do it :)
Answer:
1.7miles
Step-by-step explanation:
You have to multiply 14 by 3 and divide 14 by 8
Something like this
14x3/8
which would give you around 1,7miles
In Roman Numerals, a bar means to multiply that number by 1000. What is 99 004 in roman numerals?
Find the slope of the line.
у
3
|(2, 1.5)
N
1
1
-4-3-2
1 2 x
-2
(-4, -3)
Answer: m = 0.75
Step-by-step:
What is the value of x in the equation (x + 12) = (x + 14) – 3?
Find the slope of each line.
Answer:
D
Step-by-step explanation:
the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.
Answer:
x = 21
Step-by-step explanation:
The following data were obtained from the question:
Set of data => 7, 15, x–1, x+1, 24, 28
Median = 21
x =?
Median is simply defined as the middle term of a given data arranged either in ascending or descending order.
Next, we shall determine the median of the set of data. This can be obtained as follow:
7, 15, x–1, x+1, 24, 28
Median = [(x–1) + (x+1)]/ 2
Finally, we shall determine the value of x as follow:
Median = [(x-1) + (x+1)]/ 2
Median = 21
21 = [(x-1) + (x+1)]/ 2
21 = [x – 1 + x + 1] /2
21 = [x + x – 1 + 1] /2
21 = 2x / 2
21 = x
Thus, x is 21
****Check****
Median = 21
x = 21
Median = [(x–1) + (x+1)] / 2
21 = [(21 – 1) + (21 + 1)] / 2
21 = [20 + 22] / 2
21 = 42/2
21 = 21
Mrs. Woodworth brought 50 pies to a bake sale. She sold 42 of them and donated the rest to a local food shelter. What percent of the pies did she sell?
Answer:
the percent of the pies did she sell is 84%
Step-by-step explanation:
The computation of the percent of the pies did she sell is as follow;
= Number of pies sold ÷ total number of pies purchased
= 42 ÷ 50
= 84%
Hence, the percent of the pies did she sell is 84%
We simply divided by the number of pies sold from the total number of pies purchased so that the selling percentage could come
Which number is greater...0987 or .12? Explain how you know
Answer:
.12
Step-by-step explanation:
.12 is equal to 12/100
and .0987 is equal to 0987/10000
The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what
are its dimensions?
Select one:
O a. length = 23.8 cm; width = 15.7 cm
O b. length = 39.4 cm; width = 15.7 cm
O c. length = 39.4 cm; width = 7.9 cm
O d. length = 7.9 cm; width = 39.4 cm
Answer:
C, Length = 39.4 cm; width = 7.9 cm
Step-by-step explanation:
The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)
The length is 4 times w plus 7.8.
So: 2w+2(4w+7.8)=94.6
= 2w+8w+15.6=94.6 (Factor out the brackets)
= 10w+15.6=94.6 (Combine like terms)
= 10w=79 (Subtract 15.6 from both sides)
= w=7.9 (Divide both by 10).
So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)
Can some help thx.
Eva has x dimes and y quarters. She has at most 18 coins worth a minimum
of $3 combined. Solve this system of inequalities graphically and determine
one possible solution.
Answer: Eva could have 6 dimes and 10 quarters.
y≤18−x
y≥12− 2/5x
Step-by-step explanation:
x+y≤18
0.10x+0.25y≥3
> Find the slope of the line passing through the points (-3, -8) and (5.6).
Answer:
y=1.75x-2.75 slope would be 1.75
Step-by-step explanation:
Use a Regression Calculator
Can someone please help and give the right answer
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.
Statement Reason
RS ⊥ TS and RV ⊥ TV Given
∠S = ∠V are right angles Definition of perpendicular. Since RS ⊥ TS,
hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°
ST ≅ VT Given
RT ≅ RT Reflexive property of congruence
ΔTSR ≅ ΔTVR Hypotenuse leg congruence theorem. For
two right triangles, if the hypotenuse and leg
of one triangle is the same as the hypotenuse
and leg of the second triangle, then the two
triangles are congruent.
RS ≅ RV Definition of congruency.