Answer:
x=−3 and y=4
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(2x+5y=14)
1(4x+2y=−4)
Becomes:
−4x−10y=−28
4x+2y=−4
Add these equations to eliminate x:
−8y=−32
Then solve−8y=−32for y:
−8y=−32
−8y
−8
=
−32
−8
(Divide both sides by -8)
y=4
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+5y=14
Substitute4foryin2x+5y=14:
2x+(5)(4)=14
2x+20=14(Simplify both sides of the equation)
2x+20+−20=14+−20(Add -20 to both sides)
2x=−6
2x
2
=
−6
2
(Divide both sides by 2)
x=−3
What is this number in standard form?
(5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)
Standard form of given expanded form of a number is 16518.
What is meant by expanded form?The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.
Given
Expanded form = (5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)
We have to convert the expanded form into standard form
= 5000 + 70 + 8 + 440 + 11000
= 16518
Thus, standard form of given number is 16518.
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Answer:
16,518
(or 1.6518 x 10⁴)
Step-by-step explanation:
Expanded form: The digits of a number are split into individual digits based on their place value. Each digit of a number can be written in multiple of 1, 10, 100, 1000, etc.
Standard form: The combination of digits written together as a single number.
The given number is not quite, but almost, written in expanded form:
(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)
For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).
If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:
[tex]\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}[/tex]
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However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of [tex]a \times 10^n[/tex], where [tex]1\leq a < 10[/tex] and [tex]n[/tex] is any positive or negative whole number.
To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 ([tex]n[/tex]).
If the decimal point has moved to the left, the power is positive.
If the decimal point has moved to the right, the power is negative.
To convert 16518 into standard form:
Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):
⇒ 1.6518 x 10⁴
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**I have provided both standard forms, as it is not clear from the question which is required.**
I’m confused about this question
Solve each system of equations algebraically
y=x+2
y=-3x
Answer:
Your answer is: (-1/2, 3/2)
Step-by-step explanation:
y = x + 2
y = -3x
Use substitution by plugging the second equation into the first.
-3x = x +2
Subtract x from both sides to combine the variables.
-4x = 2
Divide both sides by -4 to isolate the variable x.
x = 2/-4
Simplify.
x = -1/2
Plug x into one of the equations to find y.
y = (-1/2) + 2
y = 3/2
Plug x into the other equation to confirm your answer.
y = -3(-1/2)
y = 3/2
Your answer is: (-1/2, 3/2)
3a + 7 + 2(3 + a)
[tex]what \: is \: anwser[/tex]
Answer:
5a + 13
Step-by-step explanation:
3a + 7 + 2(3 + a)
3a + 7 + 6 + 2a
5a + 13
12. Find the values of x, y, and z.
(1 point)
Answer:
b. x = 80, y = 100, z = 63
Step-by-step explanation:
1. What is the formula for Pythagorean Theorem
2. What does the A represent
3. What does the B represent
4. What does the C represent
5. Pythagorean Theorem can be used with what SPECIFIC shape?
6. If A= 4, and B = 5, what is length of the hypotenuse? Show all work
Answer:
The formula is a^2 + b^2 = c^2
Step-by-step explanation:
A and B are legs and C is the hypothunisis.
The theorem is used for triangles.
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
sqr(41) = sqr(c)^2
c = 6.403124237
How do I find x in this question?
Answer:
x = 8
Step-by-step explanation:
By Basic Proportionality Theorem:
[tex] \frac{3}{x - 2} = \frac{x}{x + 8} \\ \\ x(x - 2) = 3(x + 8) \\ \\ {x}^{2} - 2x = 3x + 24 \\ \\ {x}^{2} - 2x - 3x - 24 = 0 \\ \\ {x}^{2} - 5x - 24 = 0 \\ \\ {x}^{2} - 8x + 3x - 24 = 0 \\ \\ x (x - 8) + 3(x - 8) = 0 \\ \\ (x - 8)(x + 3) = 0 \\ \\ x - 8 = 0 \: \: or \: \: x + 3 = 0 \\ \\ x = 8 \: \: or \: \: x = - 3 \\ \\ \because \: length \: can \: not \: be \: - ve \\ \\ \implies \: x \neq - 3 \\ \\ \implies \: x = 8[/tex]
At the mall in Miami, Roberto found a jacket he liked. The normal price was $120, but the jacket was on sale for 40% off. If Roberto has $50 to spend, does he have enough to buy the jacket? If not, how much more money does he need?
Answer: No, He will need $22 to add to his money to buy jacket.
Step-by-step explanation:
Normal price of jacket =$120,
New price = 40% off which means 40% Less than the Normal price
= 40/ 100 x 120
=0.4 x 120 = 48; 120 -48= $72
New Price = $72
Therefore Roberto with $50 to spend does not have enough to buy the jacket
He will need $72- $50 =$22 to add to his money to buy jacket.
HELP ME ASAP
Which of the following articles would most benefit from a problem and solution organization pattern?
An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
An article comparing the loggerhead turtle rescue efforts on different beaches
An article discussing the life span of the loggerhead turtle
An article explaining why the loggerhead turtle is an endangered species
Answer:
An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
Step-by-step explanation:
In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.
a line that has (1,0) and (1,7) as endpoints
Which of the following is a common denominator of 3/4 and 1/5
a.35
b.20
c.15
d.30
Answer:
b.20
Step-by-step explanation:
brainliest please
Answer:
The answer is 20
Step-by-step explanation:
If y = x + 3, what is y if x = 4?
Answer:
7
Step-by-step explanation:
y = x+3
y = 4+3
y = 7
brainlist plz
Piper has a flower shop. She started the week with 320 flowers. Each day she sells half of the flowers in her shop.
Which graph shows the exponential decay described?
320
280
240
Flowers 200
Left
160
120
80
40
320
280
240
Flowers 200
Left
160
120
80
40
OA
Oc.
0 1 2 3 4 5 6
Days
0 1 2 3 4 5 6
Days
320
280
240
Flowers 200
Left
160
120
80
40
320
280
240
Flowers 200
Left
160
120
80
40
OB.
OD
0 1
2 3 4 5 6
Days
0 1 2 3 4 5 6
Days
Answer:
Step-by-step explanation:
the answer is C! i’m doing this right now as well
PLEASE HELP ME
PLEASE I WILL GIVE 25 point IF IT IS RIGHT!!
I forgot how to find a function in a graph
Answer:
This graph is NOT a function.
Step-by-step explanation:
A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.
Let me know if this helps!
Y=2(-8)+7. How do I do this ???
Answer:
y=−9
Step-by-step explanation:
Let's solve for y.
y=(2)(−8)+7
Answer:
y=-9
Step-by-step explanation:
Y=2(-8)+7
first multiply
Y=-16+7
add like terms
y=-9
Hiro painted his room. After 3 hours of painting at a rate of 8 meters per hour, he head 28 square meters left to paint.
Answer:
3 hours x 8 meters = 24 meters + 28 meters = 52 meters
52 / 3 = 17 and 1/3 hours.
Brainiest plz? :)
NEED HELP WITH MATH !
Answer:
1.50 liter/hr
Step-by-step explanation:
using;
[tex] \frac{6 - 3}{4 - 2} [/tex]
=3/2= 1.50 liter/hr
Together, the areas of the rectangles sum to 30 square centimeters.
3 cm
2 cm
cm
y cm
1. Write an equation showing the relationship between 3 and y.
Type the equation in the box below.
I
Answer:
3x+2y
Step-by-step explanation:
Find the rectangles attached
Area of a rectangle = Length * Width
A = A1+A2
given
A = 30cm²
A1 = 3 * x
A1 = 3x
A2 = 2*y
A2 = 2y
Substitute
30 = 3x+2y
Hence the required equation is 3x+2y = 30
Answer: 3x + 2y = 30
Step-by-step explanation:
A = L x W
The sum of the rectangle is 30.
One angle is 3 and x, the other one is 2 and y.
Multiply 3 with x = 3x.
Multiply 2 with y = 2y
Then create your equation plugging in 30 as the answer to 3x + 2y
Find the probability of rolling a 3 when you toss two fair 6-sided dice and add the result from each die.
Answer:
would it be 2/12 or 1/6 of a chance of getting a three
The cost of renting a bowling alley for a party is $110, plus $5 a person for food. Which equation can be used to find the total cost, C, of a party at a bowling alley for x friends?
Answer:
c=110+5x
Step-by-step explanation:
The equation that represents the total cost is C = 5x + 110.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expense of leasing a bowling alley for a party is $110, in addition to $5 an individual for food.
Let 'C' be the total cost and 'x' be the number of friends. Then the equation is written as,
C = 5x + 110
The equation that represents the total cost is C = 5x + 110.
More about the Algebra link is given below.
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help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?
any help *more than one answer*
Answer:the first one and the fourth one
Step-by-step explanation:
Alexandra's drafting class is building a scale model of the school's courtyard. Alexandra chose to make a model of a campus oak tree for the assignment as shown. The tree is 10 yards tall and the base of the tree is 5 yards away from the edge of a park bench. She calculated that her oak tree model should be 0.4 yards tall. What is the distance, in yards, from the base of the model tree to the edge of the model bench?
Answer:
It's 0.20
Step-by-step explanation:
The distance between the base of the model tree to the edge of the model bench is 0.2 yard.
Similar triangle :A diagram is attached which describe the statement of question.
From diagram attached below, It is observed that both triangles are similar triangles.
The ratio of corresponding sides are same in the similar triangles.
the distance between the base of the model tree to the edge of the model bench is x.
[tex]\frac{5}{x}=\frac{10}{0.4}\\ \\ 10x=2\\\\x=2/10=0.2yard[/tex]
Learn more about the similar triangles here:
https://brainly.com/question/14285697
What is the value of x? Enter your answer in the box.
Solve the system by substitution y = -6x and -2x-7y=40
Answer:
x=4 y=8
Step-by-step explanation:
PLS HELP ASAP
Which expression shows the result of applying the distributive property to 9(2+5m)?
18+45m
2+45m
11+14m
18+5m
Answer:
18+45m
Step-by-step explanation:
9x2= 18
9x5m= 45m
18+45m
p-(p-q)-q-(q-p)
can any one write down the answer with explanation I'll also mark brainliest
Zainab has 25 beads.
She gives 6 of the beads to Lucy.
What fraction of the 25 beads does Zainab have now?
Give your answer in its simplest form.
Answer:
19/25 it cant simplified
Step-by-step explanation:
Be prepared!!! Help please!!!! What is 1/3x 3.14x6^2x11 equal????