Answers
Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
Related Questions
50 POINTS TO CORRECT ANSWER otherwise will be reported:
A cart rolls down a hill, traveling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. How far, in inches, does it travel?
a)215
b)360
c)2992
d) 3195
e) 3242
Answers
9514 1404 393
Answer:
d) 3195
Step-by-step explanation:
The distances traveled make an arithmetic series, the sum of which is given by ...
Sn = (2·a1 +d(n -1))(n/2)
This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...
S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195
The cart travels 3195 inches.
n - 89 > 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312
Answers
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
18/10 = X/12 Solve x.
Answers
Answer:
X = 180/5
Step-by-step explanation:
Hope this helps! :)
Best of luck!
An item has a listed price of $75 . If the sales tax rate is %9 , how much is the sales tax (in dollars)?
Answers
Answer:
$6.75
Step-by-step explanation:
9% of 75 = 6.75
.09 × 75 = 6.75
Find the length of the third side. If necessary, round to the nearest tenth.
15
8.
Answers
Answer:
The third side is 17
Step-by-step explanation:
To find the hypotenuse, you square the legs of the right triangle and add the values together, and then take the square root of their sum. [tex]\sqrt{15^{2} + 8^{2} }[/tex] = [tex]\sqrt{225 + 64}[/tex] = [tex]\sqrt{289}[/tex] = 17
In obtuse triangle ABC, mA = 104 and mC = 32. Find mB.
Answers
Which of the following is a source of income?
A.FICA
B.Investment
C.Timeshare
D.House purchase
Answers
Answer:
B. Invesment
Correct me if You want If its wrong.
2. What is the value of the number in the thousandths place of 1079.483?
Answers
Answer:
3
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
simplify 28-(8+3)X(4-2)
Answers
Answer:
4
Step-by-step explanation:
hope it helps you in some way
simplify 28-(8+3)X(4-2)
Answer:
The answer is in the picture above:)
Step-by-step explanation:
1st, Add the number (calculate) result is 28-11x×(4-2) And Subtract the number the result is 28-11x×2. 2nd, use the commutative property to reorder the terms the result is 28-2×11x
Hope it helps:)
X^2- 2x - 54 = 0
I need the answer for this please
Answers
x = -6, 8
Find the values of x by factoring, getting
(x - 8)(x + 6) = 0
Answer:
x = -6, 8
Step-by-step explanation:
Your parents traveled 300 miles and used 15 gallons of gas. How many miles can your parents
run on 1 gallon of gas? *
300 miles
200 miles
40 miles
20 mies
Answers
Step-by-step explanation:
20 miles.
what you need to do to find out is:-
just divide them
300÷15
have a good day :)
what is a - 2b = -10 for b
Answers
Answer:
b=5
Step-by-step explanation:
Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5
PLEASE HELPPP MEE !!
Answers
Answer:
that box in the corner of the angle represents 90°
90° is also known as a right angle
Subtract 90° from 37°.
You should come up with 53°.
There are 37 oak Trees Correctly in the park park workers will Plant 27 more oak Trees today how many oak Trees will The park have when The workers are finished
Answers
Answer:
64
Step-by-step explanation:
37+27=64
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answers
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?
A. 1 cm X 48 cm
B. 2 cm x 24 cm
C. 3 cm x 16 cm
D. 4 cm x 12 cm
E. 6 cm x 8 cm
Answers
Answer:
c
Step-by-step explanation:
3x16=48
3+16+3+16=48
pls brainliest
Which arithmetic sequence has a common difference of -21?
{1,245; 1,224; 1,203; 1,182; …}
{32, 20, 8, -4, …}
{873, 894, 915, 936, …}
{1,563; 1,587; 1,611; 1,635; …}
WILL GIVE BRAINLIEST!!!!
Answers
Answer:
first one
just subtract 21 from each number
Answer:
C - {873, 894, 915, 936, …}
Step-by-step explanation:
Difference means subtraction. So, subtract -21 from the number to get your next value.
1245 - (-21) = 1266 So, A is not the answer
32 - (-21) = 53 So, B is not the answer.
873 - (-21) = 894 So, C is the answer.
1563 - (-21) = 1584 So, D is not the answer.
To double check, subtract -21 from the other numbers too.
873 - (-21) = 894
894 - (-21) = 915
915 - (-21) = 936
and so on...
This matches up with the list of numbers on option C so it it correct.
I hope this helps you Cheers!
Nicole swims 6 times as many laps as Evan. What multiplication equation compares the laps Nicole and Evan swim?
Answers
Answer:
6E
Step-by-step explanation:
If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan
Hope this helps! :D
Write the equation of the line, in slope intercept form, through the following two points.
Answers
Answer:
y=[tex]\frac{5}{8}x[/tex]
Step-by-step explanation:
So in this equation you have to do this with the points to get the slope
M= [tex]\frac{y2-y1}{x2-x1}[/tex]
M is the slope so using this eqaution will give you the equation.
Sam the jeweler bought 126 beads and 36 strings from a shop. He wants to make a certain
number of necklaces using the same combination of beads and the strings, with no
pieces left over. What is the greatest number of necklaces Sam can make?
Answers
Answer:
n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and Rochelle has invested $2500 in a jewelry making kit.
Step-by-step explanation:
David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?
Answers
Answer:
David share is 36 sweets
Step-by-step explanation:
let Lucy share be x
let David share be y
Lucy has 27 more
x=y+27
total sweet is x+y
y+27 +y= 2y+27
total ratio = 4+7=11
David share=
[tex]y = \frac{4}{11} \times (2y + 27)[/tex]
[tex]11y = 4(2y + 27)[/tex]
[tex]11y = 8y + 108[/tex]
[tex]11 y- 8y = 108[/tex]
[tex]3y = 108[/tex]
y=108/3= 36
The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.
Answers
Answer:
Step-by-step explanation:
"The difference of two numbers is 15."
x-y = 15
x>y
"Five times the smaller number is the same as 9 less than twice the larger number."
5y = 2x-9
y = x-15
substitution
5(x-15) = 2x-9
5x-75 = 2x-9
3x = 66
x = 22
y = x-15 = 7
1. Which figure would you have used to make the Escher‐like tessellation shown below?
Answers
Answer:
I'm pretty sure the answer is B.
Step-by-step explanation:
Hope this helps u out!
1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??
Answers
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
The second option
Step-by-step explanation:
In order to find the unit price of each, consider the quotient of amount of money per bag:
Case 1:
$4/ 1 bag
Case2:
$12 / 5 bags = $2.4 / 1 bag
Therefore, the second option is the one with lower unit price.
The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?
Answers
Answer:
Step-by-step explanation:
W = 4L-17
LW = 15
L(4L-17) = 15
4L^2-17L-15= 0
L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4
-3/4 is an extraneous solution
L = 5 cm
W = 4L-17 = 3 cm
What transformation is happening?
Answers
Answer:
Reflection and Dilation
Step-by-step explanation:
These two make the most sense for this.
Hope it helps and is correct!
Please, please, please, please help
Answers
Answer:
27
Step-by-step explanation:
A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
How high off the ground is the top of the monument?
Please help
Answers
Answer:
65 meters
Step-by-step explanation:
The height of the monument off the ground = x + 5
Find x using Pythagorean Theorem:
x = √(61² - 11²)
x = √3,600
x = 60 meters
Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters
Answer: 65
Word Problem: A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
Question: How high off the ground is the top of the monument?
Complete the tables of values?
Plz help I’m so stuck on this
Answers
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
The unknown measures 40
Step-by-step explanation:
Use the proportion that derives from the properties of parallel lines intersected by common transversals:
X/24 = 25/15 and solve for x
x = 25 * 24 / 15
x = 40