Situation: The No Doze Cafe sells Pumpkin Spice Lattes for $3 and Caramel Hot Apple Cider for $2. On a cool autumn morning, the shop sold 5 more Ciders than Lattes and made $25.
Define x and y variables and write the equation/s.
Here is a system of equations: 7x-4y=-11
7x+4y=-59 would you rather use addition or subtraction to solve this system. Explain your reasoning.
Answer:
Addition
Step-by-step explanation:
Better to use addition since you already have a -4y and +4y. So if you add them together it will cancel out!
x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
We have a system of equations -
7x - 4y = - 11
7x + 4y = - 59
We have to investigate on the process of solving these equations.
What do you mean by System of Linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables.
According to the question, we have -
7x - 4y = - 11
7x + 4y = - 59
We would subtract second equation from first as follows -
7x - 4y - (7x + 4y) = - 11 - (- 59)
7x - 4y - 7x - 4y = -11 + 59
-8y = 48
y = - 6
therefore -
7x - 4y = - 11
7x - 4(- 6) = -11
7x + 24 = -11
7x = -11 - 24
7x = - 35
x = -5
Hence, x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
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1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi
Answer:
answer yourself
Step-by-step explanation:
What is the equation of the line that passes through the point -5, two and has a slope of -2/5
9514 1404 393
Answer:
y -2 = (-2/5)(x +5)
Step-by-step explanation:
You can put the given values for the point ((h, k) = (-5, 2)) and slope (m = -2/5) into the point-slope form of the equation for a line:
y -k = m(x -h)
y -2 = -2/5(x +5)
_____
This equation simplifies to ...
y = -2/5x
Which function has a constant additive rate of chan of -1/4
Answer:
y -12 21 -1.5 -11 11 -2 -10 14 -2.5 -9 17 ?
Step-by-step explanation:
Which expression is equivalent to 42 + 63?
Answer: 104-63 maybe?
Step-by-step explanation:
Need help ASAP have 30 minutes
Answer:
1 box of paper will cost $7.25.
Step-by-step explanation:
14.50 divided by 2 is 7.25, therefore one box of paper will be 7.25
the sum and twice the number and 18 is greater than 25
Answer:
Step-by-step explanation:
45
What is 2/5 + 1/4+7/10
Answer:
1 7/20
Step-by-step explanation:
Answer:
27/20 or 1 7/20
Step-by-step explanation:
1) make the denominators the same
2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/202) add the numerators
8+5+14=273) the denominator stays the same
27/204) simplify it to 1 7/20
Solve for x in the figure below
5x+18
7x-14
Answer:
16 =x
Step-by-step explanation:
The angles are corresponding angles and since the lines are parallel, they are equal
5x+18 =7x-14
Subtract 5x from each side
5x+18 -5x=7x-5x-14
18 = 2x-14
Add 14 to each side
18+14 = 2x-14+14
32 = 2x
Divide by 2
32/2 = 2x/2
16 =x
Answer: x=16
Step-by-step explanation:
make it an equation: the equation 5x+18=7x-14
then, solve for x.
steps :
1. add 14 to both sides to get 5x+32=7x
2. subtract 5x to both sides to get 32=2x
3. divide both sides by 2 to get 16=x
Which table represents a function?
Answer:
B
Step-by-step explanation:
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answer:
Rs. 250
Step-by-step explanation:
The price of 41 g. apple is Rs 10.25
The price of 1 g. apple is Rs 10.25/41, = Rs 0.25
The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250
Jessica had 95 dollars to spend on 6 movies. After buying them she had 17 dollars. How much did each movie cost ?
show work
Answer:
$13 per movie
Step-by-step explanation:
Each movie costed $13 because if Jessica had $95 to spend on 6 movies, and she had $17 after buying all of them, the 6 movies costed a total of $78, and 78 divided by 6=$13 per movie. Hope it helps!
Answer:
13
Step-by-step explanation:
95-17 = 78.
then divide 78 by 6 which equals 13
PLEASE ANSWER
What do degrees measure?
A. the incline of an angle
B. the orientation of an angle
C. the type of angle
D. the length of an angle
Answer:
I woulda said B too...
Step-by-step explanation:
20 POINTS WILL MARK BRAINLIEST PLEASE EXPLAIN
Answer:
DCE is 54°
Step-by-step explanation:
To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:
for angle EDC: 180 - (9x - 31)
for angle CED: 180 - (4x + 33)
for angle DCE: 180 - (7x - 2)
we know that all angles in a triangle add up to 180°. So, our equation is:
180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.
simplify:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180
540 - 20x = 180
540 - 180 = 20x
360=20x
x= 18
for angle EDC: 180 - (9•18 - 31)=49°
for angle CED: 180 - (4•18 + 33)=75°
for angle DCE: 180 - (7•18 - 2)=54°
2 times what equals 84
Answer:
42
Step-by-step explanation:
Let x be the missing number in the equation
Write out the equation: 2x = 84Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 42
I hope this helps!
6y-2+x
I need Help Thursday 22 oct
Answer:
x+6y-2 is the simplfied answer
Step-by-step explanation:
Can someone help me with this geometry question thanks will mark brainliest
For parallel lines, gradients (slope) must be the same.
The lines given in multiple choice, no line with the same gradient/slope as line y = 3x - 2.
Step-by-step explanation:
From y = 3x - 2,
The slope = 3
Let's check slopes of lines from multiple choice:
From first line
4x + 2y = 5
2y = -4x + 5 (dived 2 both sides)
y = - 2x + 5/2
The slope = -2
Continue with remaining three equations you get slopes: -1/2, -4 and 4.
Hence no equations above represent parallel equation to y = 3x - 2
Which of the following is a cost homeowners insurance does not protect?
a. The cost of repair or replacement of a home lost in a natural disaster.
b. Additional living expenses required while your home is repaired after a disaster.
c. Replacement costs for all contents in your home, including high cost electronics.
d. The cost of medical expenses incurred by somebody getting injured on your property.
Answer:
Replacement costs for all contents in your home, including high cost electronics. In my case it was C on edge
Step-by-step explanation:
The solution is, c. Replacement costs for all contents in your home, including high cost electronics, is a cost homeowners insurance does not protect.
What is insurance?Insurance is an arrangement by which a company or the state undertakes to provide a guarantee of compensation for specified loss, damage, illness, or death in return for payment of a specified premium.
here, we have,
Personal property replacement cost endorsement under her homeowners policy comes with limits of the policy that only covers insurance on replacement cost for structural damage and damages or loss of materials of similar kind and quality.
Some items such as art items, paintings, an antique chair, jewelry and collectibles are not usually listed in the policy contract except a scheduled personal property coverage is added to the Personal property replacement cost endorsement contract.
Therefore, from this question, The solution is, c. Replacement costs for all contents in your home, including high cost electronics, is a cost homeowners insurance does not protect.
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FIRST RIGHT GETS BRAINLIEST
Answer:
Red is sus
Step-by-step explanation:
Answer: naah i think brown is sus he faked electrical vote him out
Step-by-step explanation:
Determine the x- and y-intercepts of the graph of x+2y=−4 .
Then plot the intercepts to graph the equation.
Answer:
x-intercept: (-4,0)
y-intercept:(0,-2)
Step-by-step explanation:
Answer:
Blue dots are correct
Step-by-step explanation:
I took quiz
What numbers rounded to 200,000 when rounded to the nearest hundred thousand
Answer:
The answer would be 150,000 to 249,999
12x+7<−11 AND5x−8≥40
Answer:
12x+7<−11 x < - 1.5
5x−8≥40 x ≥ 9.6
Step-by-step explanation:
12x+7<−11 First, move the constant to the right. 12x < -11 - 7 Then, we can get the total value and then divide everything by 12. 12x < -18 -> x < - 1.5
5x−8≥40 Move the constant to the right. 5x ≥ 40+8 Then, after we add the constants, we can divide both sides by 5. 5x ≥ 48 -> x ≥ 9.6
Answer:
NO SOLUTION IS THE ANSWER FOR KHAN ACADEMY
Step-by-step explanation:
The daily high temperatures in a vacation resorts in approximately normal, with a mean temperature of 75 Fahrenheit and a standard deviation of 6 degrees. What percentage of days have a high temperature between 66 and 88?
A.17.01%
B.35.62%
C.64.37%
D.72.99%
Using what you noticed, find the measures of the four angles at point B in this second diagram. Lines AC and DF are parallel.
Answer:
The measures of the four angles at B are
m∠EBC = 34°
m∠ABH = 34°
m∠EBA = 146°
m∠CBH = 146°
Step-by-step explanation:
∵ AC // DF
∵ HG is the transversal
∴ m∠GEF = m∠EBC ⇒ corresponding angles
∵ m∠GEF = 34°
∴ m∠EBC = 34°
∵ GH intersects AC at B
∴ m∠EBC = m∠ABH ⇒ vertically opposite angles
∵ m∠EBC = 34°
∴ m∠ABH = 34°
∵ B ∈ AC
∴ ∠EBC and ∠EBA formed a pair of linear angles
∵ The sum of the measures of the pair of linear angles is 180°
∴ m∠EBC + m∠EBA = 180°
→ Substitute m∠EBC by 34°
∴ 34 + m∠EBA = 180
→ Subtract 34 from both sides
∵ 34 - 34 + m∠EBA = 180 - 34
∴ m∠EBA = 146°
∵ ∠EBA and ∠CBH are vertically opposite angles
∴ m∠EBA = m∠CBH
∵ m∠EBA = 146°
∴ m∠CBH = 146°
Help my 11 old daughter please I don’t know this type of math
Answer:
2nd Choice- $2.14 total
Step-by-step explanation:
The expression is just adding the factors, 1.19 and 0.95. Then the counting sets, a whole square shaded is 100 units, a bit more is shaded of the second square, which signifies the .19 cents. Then yellow shade shows the lip balm cost, which is 0.95.
A car travels 100 km with 9.8 liters of gas. How much gas is required for a 1482 km trip?
Answer:
145.236 is required
Step-by-step explanation:
(1482x9.8)/100
AYUDAAAAAAAAA PORFA NO LE ENTIENDO
please help me asap
7. option 2 : 104
8. option 4 : 54
9. option 2 : 23
10. option 2 : 6
11. option 2 : 6
Which number is greater than the absolute value of LaTeX: -\frac{3}{8}− 3 8?
Answer:
0.5
Step-by-step explanation:
We have to find a number which is greater than the absolute value of -3/8.
Absolute value of -3/8 = 3/8
3/8=0.375
Now, we have to find a number which is greater than 0.375
1/4=0.25
0.25 is smaller than 0.375
0.5 is greater than 0.375
also -5/8 and -1/8 are less than 0.375
Hence, the only number which is greater than the absolute value of -3/8 is:
0.5
Step-by-step explanation: