21. 3a + 5b = -27
4a + 10b = -46
how to solve with substitution

Answers

Answer 1

Answer:

a = -4 and b = -3

Step-by-step explanation:

Step 1: Solve 3a + 5b = -27 for a

3a + 5b = -27

3a + 5b + -5b = -27 + -5b

(Add -5b go both sides)

3a = -5b- 27

3a = -5b - 27

3 3

(Divide both sides by 3)

a = -5 b - 9

3

Step 2: Substitute -5 b - 9 for a in 4a + 10b = -46

3

4a + 10b = -46

4(-5 b - 9) + 10b = -46

3

10 b - 36 = -46

3

(Simplify both sodes of the equation)

10 b - 36 + 36 = -46 + 36

3

(Add 36 to both sides)

10 b = -10

3

10/3 b = -10

10/3 10/3

(Divide both sides by 10/3)

b = -3

Step 3: Substitute -3 for b in a = -5/3 b - 9

a = -5/3 (-3) - 9

a = -4

(Simplify both sides of the equation)


Related Questions

On a coordinate plane, 3 triangles are shown. Triangle D E F has points (5, negative 2), (1, negative 2), (1, negative 4). Triangle D prime E prime F prime has points (2, 5), (2, 1), (4, 1). Triangle D double-prime E double-prime F double-prime has points (negative 3, 5), (negative 3, 1), (negative 1, 1).
Which rule describes the composition of transformations that maps ΔDEF to ΔD''E''F''?

Answers

Answer:

B.   T–5,0 ∘ R0,90°(x, y)

Step-by-step explanation:

got it right on edge 2020

Answer:

B. T–5,0 ∘ R0,90°(x, y)

Step-by-step explanation:

Edge2020

Simplify: 5x + 4x2 + 10 + 2x2 + 2x – 6+2 - 1.

Answers

the answer would be 7x+ 17

What number is 30% of 20? Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

6 should be right!!

Answer:

30% of 20

(30÷100)20

6

therefore the ans is 6

The temperature is 8 degrees F. As a cold front moves in, the temperature drops 6 degrees F per hour. What is the temperature at the end of 3 hours

Answers

Answer:

-10 Degrees

Step-by-step explanation:

Plz help!!!
8% of 5x10^7

Answers

here’s your answer (:
4 million
4,000,000

Answer:2/5x to the power of 10000000

(8/100(5)) (x^10^7)

Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 points. In the last 4 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

At 4 innings left ;

Kim's team was losing by 17points to 6 points

Given that her team scored the same number of points per inning in the last 4 innings while the other team didn't score any point per inning.

Hence, Kim's team won eventually,

Let point earned per inning = p

Hence, the number of points scored per inning : would be ;

Initial point of Kim's team + (number of innings left * point per inning) > point of opposing team

6 + 4p > 17

4p > 17 - 6

4p > 11

p > 11/4

p > 2.75

Nearest whole number :

Kim's team scored 3 points per inning

HELPPP :((( !!!

find the mean and median for the following.​

Answers

Mean =6
Median=8
If u need steps then message me here x

Answer:

mean = 6

median = 7

Step-by-step explanation:

mean: add all values and divide by the number of values

median: place all values in ascending order and choose the middle value; if there is an even number of values, the median is the mean of the two middle values.

There are 5 values: 7, 8, 8, 4, 3

a) mean

Add all values and divide by the number of values.

mean = (7 + 8 + 8 + 4 + 3)/5 = 30/5 = 6

mean = 6

b) median

Place values in ascending order.

3, 4, 7, 8, 8

The middle value is 7.

median = 7

- 5/4 + 75/40 + 100% =

Answers

Answer:

13/8 or 1.625

Step-by-step explanation:

13/8 is your answer for this

What is the GCF of 28t^2 + 14t?

Answers

Answer:

The GCF would be 14t.

3. A function f(x) has a slope of -and passes through
the point (-3,7). Explain how the graph of f(x)
could be used to find the y-intercept.

Answers

Answer:

Well. this is kinda trivial.

For a function f(x) = y.

The y-intercept is defined as the point where the graph of f(x) intersects the x-axis.

This always happens at x = 0.

So the y-intercept is equal to f(0).

Now, if we have the graph of f(x), you simply can see at what value of y does the graph intersect the x-axis, and that will be the y-intercept.

PLZZZZZZ HELPPPPPPPPPPPPPP

Answers

Answer:

You need to stop relying on this website.

Step-by-step explanation:

Anytime you find a challenging problem you will automatically go to this website thus not gaining any intelligence.

round the following numbers to 2 significant figures:

0.40625

Answers

Answer:

.41

Step-by-step explanation:

4 and 1 are both significant figures

The lowest point in Japan is Hachiro-Gata with an elevation of -12 feet. The lowest point in the United States is Death Valley with an elevation of -282 feet. What is the difference in elevation between Hachiro-Gata and Death Valley (Show all your work to receive full credit. My advice is to make a number line)

help asap

Answers

Subtract 12 from 282 then add a negative sign.
Answer
-270

0.0010 in words?
I need help with this question

Answers

Answer:

The answer is one one thousandth I believe.

Answer:

1 thousandths or 10 thousandths

Step-by-step explanation:

The one is in the thousandths place.

9. You have a box that is a cube with side length of 10 cm. Will a pencil that
is 17 cm long fit inside the box? Explain your reasoning.

Answers

The pencil will fit if its length is smaller than length of the diagonal of the cube

The pencil will fit inside the box

How to determine if the pencil will fit?

The dimension of the cube is given as:

L = 10 cm

Calculate the diagonal (D) of the cube using:

D = (3L^2)^(1/2)

So, we have:

D = (3 * 10^2)^(1/2)

Evaluate

D = 17.3

The length of the diagonal is greater than the length of the pencil (17 cm)

Hence, the pencil will fit inside the box

Read more about diagonals at:

https://brainly.com/question/10187910

A 30-cm ruler broke into two pieces. One piece was 120 mm long. How
long was the other piece? Express your answer in millimeters.

Answers

Answer: 180 mm

Step-by-step explanation:

1 cm = 10 mm

10 cm = 100 mm

30 cm = 300 mm

300 - 120 = 180

Hope this helps!

Nana has a water purifier that filters \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end of the contaminants each hour. She used it to purify water that had \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t)C(t)C, left parenthesis, t, right parenthesis, ttt hours after Nana started purifying the water.

Answers

Answer:

(1/2) * (2/3)^t

Step-by-step explanation:

Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants.

Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.

C(t)=

The water purifier will filter 1/3 of the current contaminants each hour.

1/3 ÷ 1/2

= 1/3 × 2/1

= 2/3

This means, it willreduce the contaminant into 2/3 of it current mass

To derive the equation,

Multiply the contaminant with 2/3 every hour

(1/2) * (2/3)^t

Where t = hours

(5 + 2) + 7 = 5 + (2 + 7) is an example of which property?

Answers

Answer:

The associative property

Step-by-step explanation:

With this property, you just "associate" the numbers with different numbers.

Which of the following values are in the range of the function graphed below?
Check all that apply.

Answers

Answer: 2,3,1

Step-by-step explanation:

Help plz. I hope you can tell with the picture says because I’m looking at it right now and I definitely can.

Answers

Answer:

Step-by-step explanation:

x= (-2 -1)h

x= (-2-1)4= -12

Last month, 349 books were checked out from the school library. This month, 273 books were checked out. Find the Percent of Change from Last Month to This Month.


Answers

Answer:

76

Step-by-step explanation:

Answer:

76        is     the answer

Find the area of the shape shown in Figure 1 and type your answer into the box below in units squared.

Answers

Answer:

I think  52.5 units squared

Step-by-step explanation:

12*4=60/2=30.

5*9=45/2=22.5!

30+22.5=52.5

Which property can you use to simplify (4+10)+(-10)

A. Associative property of addition
B. Associative property of multiplication
C. Commutative property of multiplication
D. Commutative property of addition

Answers

Answer:

Associative property of addition

Step-by-step explanation:

(4+10)+(-10)

We want to change the parentheses to

4 + ( 10 + -10)

We can use the Associative property of addition

( a+b) + c = a+ ( b+c)

Answer:

communative property of addition

Step-by-step explanation:

What is the approximate measurement of the diagonal of the cube if the cube’s length is 5 feet

Answers

face diagonal f = 7.0710678118655 ft

solid diagonal d = 8.6602540378444 ft

3/5 cual es el denominador?​

Answers

Responder -

El denominador es 5

Explicación -

Soy inteligente

Es el 5 because is at the bottom

Use the graph to determine which one of the three statements is a lie.

1) The average rate of change between (0,4) is positive

2) The average rate of change between (-3,4) is negative

3) The average rate of change between (0,4) is 3/4

Answers

Answer:

2) The average rate of change between (-3,4) is negative

Step-by-step explanation:

The answer options

1) The average rate of change between (0,4) is positive

Correct. The function is increasing in same interval.

2) The average rate of change between (-3,4) is negative

Incorrect. The average rate of change is zero in same interval

3) The average rate of change between (0,4) is 3/4

Correct. (0-(-3))/(4-0) = 3/4

How did you know that the values of the variables really satisfy the equation?​

Answers

Answer:

To know if the value that we have satisfies the given equation, we have to do the checking. To check, we have to substitute the value that we get to the variable and solve the equation. Example: ... Therefore, we can conclude that 25 is the correct value of x, and it satisfies the equation.

Step-by-step explanation:

There are 4 circles and 8 squares. What is the simplest ratio of circles to total shapes?​

Answers

Answer:

4 : 12

4/ 12

4 to 12

Step-by-step explanation:

1:3

Its this because u just simplify 4:12 by dividing both numbers by 4

Question 12
Researchers are investigating how the amount of monthly rainfall measured in centimeters (cm)affects the monthly growth, in cm, of a certain plant. From a sample of data, the researcher
created a least-squares regression line. Computer output is shown in the following table.
Variable
DF
Estimate
T
Intercept 1
0.350
Rainfall
0.025
SE
0.75
2.14
1
0.15
6.00
Which of the following statements is an interpretation of the value 0.75 shown in the table?
Monthly growth is expected to increase by 0.75 cm when rainfall increases by 1 cm.
B
Rainfall is expected to increase by 0.75 cm when monthly growth increases by 1 cm.
С
For a month with 0 cm of rainfall, the monthly growth is expected to be approximately 0.75 cm.
D
For a plant with Ocm of monthly growth, the month had an expected rainfall of approximately 0.75 cm.
E
Approximately 75% of the variability in monthly growth is due to its linear relationship with rainfall.

Answers

Answer:

C

Step-by-step explanation:

We went over it in class.

The value of the y-intercept gives the value of predictor variable, y when the value of the explanatory variable, x is equal to 0.

Therefore, 0.75 is the value of the y-intercept which means that monthly growth will be 0.75 when the amount of Rainfall is 0cm.

The rate of increase per 1 cm increase in monthly Rainfall is the slope value the regression line.

The intercept value of y(monthly growth) is 0.75 cm and it is the value of growth when the amount of Rainfall is 0cm

The approximate percentage of variability is given by the coefficient of determination and not the value of the intercept.

Therefore, the value 0.75 infers that monthly growth will stand at approximately 0.75 when the value of Rainfall is 0cm.

Learn more :https://brainly.com/question/18405415

-6(15) explain please and thank you

Answers

Answer:

-6(15) = -90

Step-by-step explanation:

() means multiply so -6 x 15 = -90

1     5

-      6

-3       0

-6

-90             (cross multiplying)

- x + = -

- x - = +

-90. You multiply by negative times positive equals negative
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