Answer:
x = -18
y = 4
Step-by-step explanation:
x + y = 4
2x + 3y = 30
You can do any math operation to each side of the equal sign as long as you do the same operation to both sides.
change x + y = 4 to x = 4 - y
Now substitute (4 - y) into the second equation, in place of x.
2(4-y) + 3y = 30
multiply the 2(4-y) part:
8 -2y + 3y = 30
simplify:
8 + y = 30
subtract 8 from each side:
y = 22
now substitute the value of y back into the first equation to solve for x:
x + 22 = 4
subtract 22 from both sides:
x = -18
Check:
x + y = 4
22 -18 = 4
4 = 4 (this checks)
2(-18) + 3(22) = 30
-36 + 66 = 30
30 =30 (this checks also)
PS: you could have solved for y first if you had wanted to. The results would be the same.
The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure
Answer:
3. m<GHF= 90 degrees
4. m<DGH= 45 degrees
5. HF=5
6. DE=50
Step-by-step explanation:
3. The measure of angle DGF and EFG are 45 degrees each and 45+45 is 90 degrees. When you subtract 90 from 180, you get 90.
4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles. This means that angle DGH is half of angle DGF and 90/2=45.
5. The diagonals of a square are congruent so it is also 5.
6. You use the Pythagorean Theorem and 5^2 + 5^2=50
The diagonals of square DEFG intersect at H. The measure of the following option; 3. m∠GHF= 90 degrees. 4. m∠DGH= 45 degrees 5. HF=5 6. DE=50
What is the property of a square?That rectangle whose all sides are equal is called a square.
A square is always a rectangle, parallelogram, a rhombus, and a quadrilateral but its reverse statement may or may not be true.
(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).
The diagonals of square DEFG intersect at H.
Given that EH = 5, we need to find the measure of the following option;
3. The measure of ∠DGF and ∠EFG are 45 degrees each .
The sum of the angle of the bisector of diagonal 45 + 45 = 90 degrees.
When you subtract 90 from 180, you get 90.
4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles.
This means that ∠DGH is half of ∠DGF
90/2 = 45.
5. The diagonals of a square are congruent so HF is 5.
6. By Pythagorean Theorem
[tex]DF^2 = 5^2 + 5^2\\\\DF = \sqrt{50}[/tex]
Learn more about Pythagoras theorem here:
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(a²+2ab+b²)÷(a-b) divide it
I hope this answer will helps you.
Solve for all values of c in simplest form.
|4-c| = 7
Answer:
Step-by-step explanation:
|4-c| = 7
4-c = ±7
c = 4 ∓ 7 = -3, 11
I need help with this.
Answer:
im not vary shur
im so sorry but u may be in a hier grade than me
What's is a Binomial
Answer:
A binomial is an algebraic expression of the sum or the difference of two terms.
Step-by-step explanation:
Hope I helped! :)
use the volume formula to find the volume of the prism
is there any answer choices
i will gib brainliest if u help me >:C
Answer:
1,800
Step-by-step explanation:
Why is because 6 is over for and u estimate to the nearest hundredth and then again the six is still there so u estimate the with the 100 place with give u a 800 so its 1,800
Can someone help me with this math question it’s on the image please!
Answer:
564
Step-by-step explanation:
56
Answer:
A is equal to 3 and B is equal to 2
the price of an item has been reduced by $4.07. the new sale price is 82.09. what was the original price
Answer:
$86.16
Step-by-step explanation:
82.09+4.07=86.16
Answer:
The original price was $86.16
Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems each day for 36 days, which best describes the number of problems that he needs to do each day?
Answer: 8/9 questions
Step-by-step explanation: 312/36= 8.6...
The answer depends on if you want to round up or down.
ASAP WHO EVER ANSWERS THIS WILL BE MARK BRANLIEST
Answer:
c. 5, all
(5 people were selected and all the spectators purchased tickets)
Answer:
C
Step-by-step explanation:
Kayla and her children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.
Answer:
x= hotdogs
y=tacos
Step-by-step explanation:
(3.50)x+ 3x + 4y= 63
BRO LIKE I'M THE MOST STUPPID PERSON YOU'LL EVER MEET.
pls help mee
Answer:
80°
Step-by-step explanation:
Here the missing angle is x
So,
x + 100° = 180° [linear pair]
=> x = 180° - 100°
=> x = 80° (Ans)
i need some help plss asap
Answer:
Choice 1) 640 Pi
Step-by-step explanation:
8^2(Pi)(10)=volume = 640Pi
Answer:
A. 640pie
Step-by-step explanation:
pie(8)²10 multiply this equation it should get you 640pie
what is the answerk of this 3
3х2
4ys
Answer:
33×2=66
4ys
Step-by-step explanation:
or is it 33×24ys=66ys
The estimate obtained from a sample of which size is likely to be closest to
the actual parameter value of a population?
A. 50
B. 120
C. 100
D. 75
Help??!!??
Answer: 120
Step-by-step explanation:
AP.EX
The estimate obtained from a sample of 120 is likely to be closest to the actual parameter value of a population
In sampling; the higher the sample size, the higher the estimate cam be closer to the actual parameter
From the list of given options;
The sample size 120 has the highest chance to be close to the actual parameter value
This is so because, 120 is greater than other sample sizes
Read more about sample size at:
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please help fast HELP
Answer:
The letters are really small I can't see it.
Step-by-step explanation:
Sorry
i need help with this math problem
Step-by-step explanation:
I've shown the process in the picture. hope that helps
How many gallons each of 20% alcohol and 10% alcohol should be mixed to obtain 10gal of 11% alcohol?
Answer:
20% alcohol = 1 gal
10% alcohol = 9 gal
Step-by-step explanation:
Let
x = 20% alcohol
y = 10% alcohol
x + y = 10 (1)
0.20x + 0.10y = 10*0.11
0.20x + 0.10y = 1.1 (2)
From (1)
x = 10 - y
Substitute x = 10 - y into (2)
0.20x + 0.10y = 1.1
0.20(10 - y) + 0.10y = 1.1
2 - 0.20y + 0.10y = 1.1
- 0.20y + 0.10y = 1.1 - 2
-0.10y = -0.9
y = -0.9/-0.10
y = 9 gal
substitute y = 9 into (1)
x + y = 10
x + 9 = 10
x = 10 - 9
x = 1 gal
20% alcohol = 1 gal
10% alcohol = 9 gal
Can anyone answer this question for me.
Answer:
That is the formula for solving quadratic equations like:
ax^2+bx+c = 0
You substitute the variables from your quadratic equation to solve them.
Evaluate the expression 6 + 4 x {3+7}.
Answer:
46
Step-by-step explanation:
6 + 4 x {3+7} [B.O.D.M.A.S rule] (First bracket)
= 6 + 4 × 10. (Then Multiplication)
= 6 + 40. ( At last addition)
= 46 (Ans)
The simplified value of the expression 6 + 4 × {3 + 7} is 100.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, An expression 6 + 4 × {3 + 7}.
First, we'll add 6 and 4 as 3 and 7 are inside curly brackets,
not in parentheses.
Therefore,
6 + 4 × {3 + 7}.
= 10 × {3 + 7}.
Now, we can either distribute the terms or take the addition and multiply.
= 10 × 10.
= 100.
learn more about PEMDAS rule here :
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Determine the intercepts of the line.
Y-intercept (____,____)
X-intercept(____,____)
Answer:
to find the intercepts, look for the point where the axes and the line intersect.
x-intercept: (3.5,0)
y-intercept: (0,2.5)
3/4x=48 What is x? I can be a decimal or fraction.
Answer:
x=64
Step-by-step explanation:
Answer:
x = 64
Step-by-step explanation:
I cant give you the stel by step but I can check the work the fraction 3/4 multipled by 64 is 48.
HELP PLEASE ASAP
PLEASE
Answer:
3rd answer
Step-by-step explanation:
I'm sorry don't know just guessed
If you like vampire diaries plz tell me DAMON OR STEFAN......
Answer:
i like both of them
Step-by-step explanation:
Someone help me please what is 4.3x102
4.3 times 102 is 438.6
Hope this helped! :)
Answer:
4.3 x 102 = 438.6 <3
You need to use long multiplication to find your answer.
GL!
(side note, it would be amazing if you could mark me brainliest so i can level up <33)
(2) Explain how the product of 3 and 65 could be used to find (0.03) - (0.65).*
Answer:
See Explanation
Step-by-step explanation:
Required
Explain how 3 * 65 could be used for (0.03) * (0.65)
0.03 is to 2 decimal places and 0.65 is also to 2 decimal places
In total, we have: [tex]2 + 2 = 4[/tex]
So, to get (0.03) * (0.65) from 3 * 65.
Simply calculate the product: 3 * 65
Then divide by 10 to the power of the sum of the decimal places i.e. 4
This is shown below
(0.03) * (0.65)
Express as fraction
[tex](0.03) * (0.65) = \frac{3}{100} * \frac{65}{100}[/tex]
[tex](0.03) * (0.65) = \frac{3*65}{100*100}[/tex]
[tex](0.03) * (0.65) = \frac{3*65}{10^2*10^2}[/tex]
[tex](0.03) * (0.65) = \frac{3*65}{10^4}[/tex]
Rename each fraction using a common denominator for both 1/3 1/4
What type of line segment is represented by the dotted line.
Please help me on this question, it is for geometry.
Answer: Altitude
Step-by-step explanation:
It's an altitude because it creates a 90° angle (perpendicular to the base)
Max's Market sells 6 eggs for £1.98.
Groceries Galore sells 8 eggs for £2.48.
Fancy Foodstuffs sells 12 eggs for £3.84.
Which shop's price per egg is better?
Max=0.36 per egg
galore=0.34 per egg
foodstuff=0.33 per egg
last one is the best
Answer:
Max's Market.
Step-by-step explanation:
Max's Market:
£1.98 x 6 = £11.96
Groceries Galore:
£2.48 x 8 = £19.84
Fancy Foodstuffs
£3.84 x 12 = £46.08
Hoped this helped. :))
