Answer:
(- 4, - 10 )
Step-by-step explanation:
Given the 2 equations
- 10x + 2y = 20 → (1)
y = 3x + 2 → (2)
Substitute y 3x + 2 into (1)
- 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side
- 10x + 6x + 4 = 20
- 4x + 4 = 20 ( subtract 4 from both sides )
- 4x = 16 ( divide both sides by - 4 )
x = - 4
Substitute x = - 4 into (2) for corresponding value of y
y = 3(- 4) + 2 = - 12 + 2 = - 10
solution is (- 4, - 10 )
Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
y = -x +2
7x + 4y = -1
What is the value of y for the solution to this system of equations?
Answer:
Hi! The correct answer is y = 5
Step-by-step explanation:
~Solve for the first variable in one of the equations, then substitute the result into the other equation~
Find the area of the shape below
Answer:
225 centimeters^2
Step-by-step explanation:
SO just split the shape
Calcualte
11*14+9*9
154+81=225
Mrs. Carter needs 1/2 meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?
#5) What is the slope of the line that passes through the points (6, -8) and (4,10)?
A)1/3
B)-1/9
C) - 9
D) -1
Coffee costs $1.75 a pound. How much would 3.2 pounds of coffee cost?
Answer:
$5.60
Step-by-step explanation:
So each pound equals to $1.75 which means that we need to multiply by 3.2 because we're trying to find the number of money we'll spend on a certain amount of coffee. So if we multiply, we get 5.6. Though in context with the problem, it should be $5.60.
Perform the operation. Enter your answer in scientific notation.
7 × 106 − 5.4 × 106 =
Answer:
849
Step-by-step explanation:
1556
Answer:
1.696 × [tex]10^{2}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
What is the equation of the line that contains the points
(-5,0) and (0,6) ?
Answer:
y=6/5+6
Step-by-step explanation:
when f(n) =12, what is rhe value of n
Answer:
When f(n) = 12, what is the value of n? Answer: n=5
Step-by-step explanation:
If z = 4 solve for 5z
Answer:
20
Step-by-step explanation:
Because 5(4) is the same thing s 5*4, so it is 20.
Hope it helps!
Answer:
20
Step-by-step explanation:
Z=4
If a letter is next to a number it means to multiple
So since z=4, replace 5z with 5(4) and you get 20
Easy need help fast!!! Find the m2 2.
27°
47
53°
127
Answer:
ITS 53 BCOS THE ANGLE IS COMPLEMENTARY TO ANGLE 4
Which set of ordered pairs represents a function?
( Please help me with this as soon as possible )
Answer:
B
Step-by-step explanation:
i did the same test
Eric and james makes valentines cards. Eric has 8 more than james , James has 6 cards , how many cards does erica has ?
Answer
Erica has 14 cards
Step-by-step explanation:
Locate and label (4,5) and (4, -3), Draw the line segment between
the end points given on the coordinate plane. How long is the line
segment that you drew? Explain.
Given:
The two endpoints are (4,5) and (4,-3).
To find:
The line segment between the given endpoints and the length of the line segment.
Solution:
Plot the given point and connect them by and straight line segment as shown in the below graph.
The distance between (4,5) and (4,-3) is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]
[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]d=\sqrt{0+64}[/tex]
[tex]d=\sqrt{64}[/tex]
[tex]d=8[/tex]
Therefore, the length of the line segment is 8 units.
the formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S
NEED STEP BY STEP EXPLANATION
Answer:
n = (S + 360)/180Step-by-step explanation:
Given formula:
S = 180(n - 2)Solving for n:
S = 180(n - 2) ⇒ open parenthesisS = 180n - 360 ⇒ isolate n180n = S + 360 ⇒ divide both sides by 180n = (S + 360)/180[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]
where, n =number of sides of polygon
S =sum of the degree measures of the interior angles of the polygon
There are 131 students at a small school and 35 of them are freshmen. What fraction of the students are freshmen?
Answer:
35/131
Step-by-step explanation:
Since 35 out of 131 students are freshmen, the fraction would be:
35/131
I hope this helps! :)
The fraction of the students are freshmen will be 35 / 131.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
There are 131 students at a small school, and 35 of them are freshmen.
Then the fraction of the students are freshmen will be
⇒ 35 / 131
More about the fraction number link is given below.
https://brainly.com/question/78672
#SPJ2
Please help me with the questions please
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
Solve for f: ax+3b=2f
Final Answer: [tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]
Steps/Reasons/Explanation:
We will be trying to rewrite the equation. To do this we will move [tex]2f[/tex] to the left. Then, we will move [tex]ax + 3b[/tex] to the right.
Question: Solve for [tex]f[/tex]: [tex]ax + 3b = 2f[/tex].
Step 1: Rewrite the equation.
[tex]2f = ax + 3b[/tex]
Step 2: Divide each term by [tex]2[/tex] and simplify.
[tex]\frac{2f}{2} = \frac{ax}{2} + \frac{3b}{2}[/tex]
Step 3: Cancel out the common factor of [tex]2[/tex].
[tex]\frac{Cancel 2 f}{Cancel 2} = \frac{ax}{2} + \frac{3b}{2}[/tex]
Step 4: Divide [tex]f[/tex] by [tex]1[/tex].
[tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]
~I hope I helped you :)~
please help me please
Answer:
change/original price X 100
22/88 X 100 = 25%
plss help
7. (a) how many 3-digit positive numbers are there?
(b) how many 4-digit positive numbers are there?
Answer:
a) 900
b) 9,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. a=100. an=999
an=a+n-1.d
Therefore answer will be 900.
B. 9000.
PLEASE I NEED HELP ON THIS
Answer:
do 3.14 x 6
Step-by-step explanation:
Answer:
37.69911
Step-by-step explanation:
"the internet does not lie"-- home
Solve 3x-9 ≥ 27-6x
Please help would be greatly appreciated!!
Hi. I need help with this question (see image). Please show workings.
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2 8 inches, 7 7 8 inches, 4 1 8 inches, and 3 3 8 inches. Which choice is the closest estimate of the length of the original rope? A. 1 foot 7 inches
Answer:
.
Step-by-step explanation:
I need help on this question.
Answer:
1410
Step-by-step explanation:
they said they would spend 3000 more than last year. it said this years budget is 4410.
Plis help and I’ll give brainly
Answer:
its 18
Step-by-step explanation:
plz mark brainlist
Answer:
3. 176
5. 122.2
7. 168
4. 13
6. 12.6
7. 492
Step-by-step explanation:
Please help!!
Each pair of polygons is similar. Find the value of x.
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
===========================================================
Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
------------
Explanations:
The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.The seventh grade band has 15 drummers and 12 trumpet players. The eighth grade band band has 10 drummers and 8 trumpet players. Do the ratios form a proportion
Multiple Choice
1. Which of the following is the correct form of the distance formula? (1 point)
d=(33 – x;) +(12 – Y;)
mm 2 m ( 20 COO
a = √(x - 2)² + (x2 - y2)
= V(x2 – xz)-(-y)
a = √(x2-x;)²-(32-33)
d =
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -
the nearest hundredth, if necessary.
Answer:
1. The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. The distance between the points (-3,8) and (-4, -2) is 10.04
Step-by-step explanation:
1. Which of the following is the correct form of the distance formula?
The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)
Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.
We have points (-3,8) and (-4,-2)
Putting values in distance formula and finding result:
[tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have x_1=-3, y_1=8, x_2=-4, y_2=-2
[tex]Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04[/tex]
So, the distance between the points (-3,8) and (-4, -2) is 10.04