Answer:
[tex]x = 6[/tex]
[tex]y = -7[/tex]
Step-by-step explanation:
We have the system of equations:
[tex]4x+2y=10\\x=y+13[/tex]
Let's solve by substituting. We know that [tex]x=y+13[/tex], so we can substitute [tex]y+13[/tex] in as [tex]x[/tex] in the equation [tex]4x+2y=10[/tex].
[tex]4(y+13) + 2y = 10[/tex]
Simplify this down so that we have [tex]y[/tex] on one side of the equation:
[tex]4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7[/tex]
Now that we know the value of [tex]y[/tex], we can substitute it in to the equation [tex]x = y+13[/tex] to find [tex]x[/tex].
[tex]x = -7+13\\\\x = 6[/tex]
Hope this helped!
Answer: (6,-7)
Step-by-step explanation:
4x +2y = 10
x = y + 13 Substitute the value of x into the first equation to solve for y.
4(y + 13) +2y = 10 apply the distributive property on the left side
4y + 52 + 2y = 10 Combine like terms on the left side
6y + 52 = 10 Subtract 52 from both sides
-52 -52
6y = -42
y= -7
The value of y so input it into one of the equations to solve for x
4x + 2(-7) = 10
4x - 14 = 10
+14 +14
4x = 24
x= 6
SOMEONE PLEASE HELP ME
1. A school photo has dimensions of 2 1/4 inches by 2 3/4 inches. What are the dimensions of the school photo if enlarged by a scale factor of 7?
2. The scale on a map is 1 inch equals 2 1/2 miles. The distance between two streets on the map is 1 3/4 inches what is the actual distance between the streets?
Answer:
Step-by-step explanation:
2 1/4 *7=14 7/4 = 15 3/4
2 3/4 *7 =14 21/4 = 19 1/4
2 ) 1 in 2 1/2 miles
1 3/4 in ??
(2 1/2 * 1 3/4)/1 =
5/2 *7/4 =35/8 = 4 3/8
The enlarged area of the photo frame will be 43⁵/₁₆ square inches.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
The area will be calculated as,
Area = 2¹/₄ x 2³/₄
Area = ( 9 / 4 ) x ( 11 / 4 )
Area = 99 / 16
Enlarged by factor 7.
Area = (99 x 7 ) / 16
Area = 43⁵/₁₆
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is -97 rational or irrational
Answer:
Rational
Step-by-step explanation:
rational numbers include negative numbers
what is 2X +4B - 5X can someone plz help
Answer:
4B - 3X
Step-by-step explanation:
2X + 4B - 5X
Here substracting 2x & 5x gives :- 4B - 3X
.For two matrices (a 3)=(-4 3), what is the value of a?
Answer:
-4
Step-by-step explanation:
[tex]\begin{pmatrix}a&3\end{pmatrix}=\begin{pmatrix}-4&3\end{pmatrix}[/tex]
If the second term is equal, 3 = 3 and the whole matrices are equal,
that means the first terms are equal.
Hence, [tex]a=-4[/tex]
-3b + 7 = -15 + 2b
how to solve this question?
Answer:
Step-by-step explanation:
-3b - 2b + 7 = -15
-5b = -22
b = 22/5
6 more than a number
Answer:
??
Step-by-step explanation:
Please Help!! i can’t fail this!!
Melissa orders 4 books for $5.95 each. The total shipping cost on her order is $3.50.
How can Melissa find the total cost of her order and the shipping?
A. Add $5.95 and $3.50. Then, multiply the sum by 4.
B. Multiply $3.50 by 4. Then, add the product to $5.95.
C. Multiply $5.95 by 4. Then, add the product to $3.50.
D. Multiply $5.95 by 4. Then, multiply the product by $3.50.
Answer:
C: Multiply $5.95 by 4. Then, add the product to $3.50.
Answer:c
Step-by-step explanation:
Plz help. Attachment below
Answer:
The value of k is 1.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
For this question :
[tex] {( \frac{4}{5} )}^{2} \times {( \frac{4}{5} )}^{5} = {( \frac{4}{5} )}^{6k + 1} [/tex]
[tex] {( \frac{4}{5}) }^{2 + 5} = {( \frac{4}{5}) }^{6k + 1} [/tex]
[tex]by \: comparison[/tex]
[tex]2 + 5 = 6k + 1[/tex]
[tex]7 = 6k + 1[/tex]
[tex]7 - 1 = 6k[/tex]
[tex]6k = 6[/tex]
[tex]k = 6 \div 6[/tex]
[tex]k = 1[/tex]
Answer:
k = 1
Step-by-step explanation:
[tex]a^{m} * a^{n} = a^{m+n}\\\\(\frac{4}{5})^{2}*(\frac{4}{5})^{5}=(\frac{4}{5})^{6k+1}\\\\\\(\frac{4}{5})^{2+5}=(\frac{4}{5})^{6k+1}\\\\(\frac{4}{5})^{7}=(\frac{4}{5})^{6k+1}[/tex]
Compare the powers,
6k + 1 = 7 {subtract 1 from both sides}
6k = 7 - 1
6k = 6 {Divide both sides by 6}
6k/6= 6/6
k = 1
what is one method to find the measure of angle B?
Answer:
if I'm not wrong it should be the second answer choice
Answer:
A
Step-by-step explanation:
did the quiz
Container A and container B have leaks.
Container A has 800 ml of water and is leaking 6 ml per minute.
Container B has 1000 ml and is leaking 10 ml per minute.
Let m represent the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water? Write and solve an equation to show your work.
Answer:
50m ..........................................................................................
F = 0.272727...
100f = (100) (0.272727...)
100f = ?
Answer:
Step-by-step explanation:
f=0.272727...
100f=27.272727...
99 f=27
f=27/99=3/11
a policeman and atheif are equidistant from the jewel bo upon considering jewel box as origin the position of policeman is(0,5).if the ordinate of the position of the theif is zero thn write the coordinates of the position of the theif
Answer:
(-5, 0) or (5, 0)Step-by-step explanation:
Coordinates given:
Policeman = (0, 5)Box with jewel = (0, 0)Thief = (x, 0)The distance from the policeman to the box with jewel is:
5- 0 = 5 unitsThe distance from the jewel box to the thief is also 5 units as they are both are equidistant from the jewel box
The x- coordinate is:
|x| = 5 ⇒ x = ± 5- 5 or 5 as it gives the same distance of 5 unitsSo his coordinates are (-5, 0) or (5, 0)
what is an irrational and irrational number?
Answer:
An irrational number is a real number that can't be written as a fraction.
Ex. [tex]\sqrt{5}[/tex]
A rational number is a real number such as a whole number, fraaction, decimal, or integer.
It costs $6.50 to become a member of a company that streams movies. With a membership, it costs $2.40 to stream each movie. Paulo wants to become a member and stream movies, and he plans to spend a total of $20. How many movies does he stream?
Write an equation to represent this situation
Quick plz lolol
term life insurance is a policy that__.A.expires after a fixed period of time.B.charges a premium for the life of the insured and builds value over time.C.benefits a person other than the insured's heirs.D.increases in value over time
Answer:b
Step-by-step explanation:
The rule that maps each domain value to its range value is f(x) =
Answer:
1/2
The next answer is, yes
edge2020
in your opinion ,do you think mom was right in making Demarcus study before playing, or was Demarcus right to play and then study?
Answer: Mom was right in making Demarcus study before playing.
Step-by-step explanation:
7658 divided by 14 standerd divison
Answer:547
Step-by-step explanation:
Answer:
547
Step-by-step explanation:
Use your basic "long division" formula. It's a lot to explain so if you need help with that ask your teacher, parent, watch some videos about it on places like "Khan Academy" etc..
Please help me with this math problem
Answer:
B
Step-by-step explanation:
The inequality is 1.20$ x + 3.60 < 9.60, the amount of money in total that Rammy has. As said, for each pound of peaches it would cost 1 dollar and 20 cents (1.20) So for the gallon of milk if Rammy bought it he would have 6$ left to spend on the pounds of peaches. So you do 6$ (600) divided by 1.20$ (120) and you would get 5 pounds of peaches. Therefore, Rammy can buy 5 or more pounds of peaches.
Jayana is trying to run a certain number of miles by the end of the month. If Jayana is 30% of the way to achieving her goal and she has already ran 9 miles, how many miles is she trying to run by the end of the month?
Answer: 30 miles
Step-by-step explanation: so first if Jayana is 30% of the way to achieving her goal and she has already ran 9 miles. You will have to convert 30% into a decimal. 30% is the same thing as 0.3 so, as that being said you will have to divide 9 by 0.3 because we are trying to find the miles.
the volume of a cylindrical tank is 936cubic meter. if its height is 6 meter determine the base area of the tank
Answer:
156 square m
Step-by-step explanation:
[tex]volume \: of \: cylindrical \: tank \\ = area \: of \: base \times height \\ \\ 936 = area \: of \: base \times \: 6 \\ \\ area \: of \: base = \frac{936}{6} \\ \\ area \: of \: base = 156 \: {m}^{2} [/tex]
Explain why 4x = 8 and 2x = 4 are equivalent equations in one sentence.
Answer:
They equal that because x=2
Step-by-step explanation:
What represents 5% of a number? *
Answer:
0.05x
Step-by-step explanation:
0.05x
Answer:
Step-by-step explanation:
5% as a decimal is 0.05 so:
0.05x
multiply 0.05 with that number.
5% as a fraction is:
or 1/20
multiply 1/20 with that number
Hope this helps :)
If BC = 61 and AB = 82, what is the length of AC?
Answer:
54.8
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2.
Plug the given values in to get 61^2+b^2=82^2
61^2 is 3,721 and 82^2 is 6,724.
6,724-3,721 is 3,003.
The square root of 3,003, rounded to a reasonable value, is 54.8.
The length of AC is 54.8.
What is
-123 + 48dndmjdbwhsjwbsshjwvsve
Answer:
-75
Step-by-step explanation:
-123 + 48
-*+ = -
123-48
75
But as the bigger number i.e 123 has a negative sign before so the answer will be in negative
i.e -75
2x(x-2)+3x=2(x+1)+1
Please help ASAP and right it step by step and what kind of answer it is
Evaluate $4a$ when $a=7$
Answer: 4*7=28
Step-by-step explanation: a is 7
Madeline borrow some money for my friends in order to help my name video game system. Mellana Green payback for friends five dollars per week and after 13 weeks Madeline still owed her friend five dollars. Right in equation for L in terms of t, representing them out Madeline I was her friend after T weeks
Answer:
L= -5t+70
Step-by-step explanation:
The equation that represents the total amount of L is
L - 5T = 5
Where T is the number of weeks.
The total amount was $80.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Madeline borrows some money from my friends in order to help my name video game system.
Mellana Green payback for friends five dollars per week and after 13 weeks Madeline still owed her friend five dollars.
Let the amount borrowed = L
Let the number of weeks = t
Now,
The equation that represents the above situation is:
L - 5T = 5
We see that,
After 15 weeks, t = 15.
L - 5 x 15 = 5
L - 75 = 5
L = 5 + 75
L = $80
The total amount borrowed was $80.
Thus,
The equation that represents the total amount of L is
L - 5T = 5
Where T is the number of weeks.
The total amount was $80.
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is 32.5 bigger or less than 150
Answer:
less
Step-by-step explanation:
Answer:
less than the answer is less then
24x 1/4 please I’m in the middle of class
Answer:
6
Step-by-step explanation:
24 x 1/4
=24/4
=6
its 6
