Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3
Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54 for 18 pieces of sandpaper at his local hardware store. Which purchase had the highest per item cost?
A.
paintbrushes
B.
light bulbs
C.
sandpaper
D.
drywall anchor screws
Answer: Light bulbs.
Step-by-step explanation:
Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.
Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.
Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.
Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.
Pls help i reall need help with this
Simplify Each
1. 3 - {7 - [8 + (7 - 3)] }
2. 12 - ( 3 - 4) - [8 - 6] + 5
3. - {2 - [7 - 8] + 2 - (1 - 3)}
4. 6 + 3
2 + 3
5. 4+5
- [ 8 - (245)]
1 - 4
Answer:
1.8
2.16
3.-7
5.-702
I didn't understand the 4th one
Answer:
1) 8
2) 16
3) -7
4) 14
5) 243
Step-by-step explanation:
For number 4 i just assumed you meant 6 + 3 + 2 + 3
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Answer:
b.) 9/g = 28.5
Step-by-step explanation:
a.) 9g = 28.5
b.) 9/g = 28.5
c.) 28.5 = 9 x g
d.) 28.5/9 = g
Total billing = $28.50
Rate = $9 per gigabyte
Calculate the additional gigabytes, g, that you used.
Additional gigabyte used, g = Total billing / Rate
g = $28.50 / $9
9g = 28.50
28.50 = 9 × g
g = 28.50 / 9
Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.
Answer:
9/g = 28.5
Step-by-step explanation:
It's attached to the image to show proof it's right
i need elp ill give a brainly to whoever helps me
Answer:
x=3
Step-by-step explanation:
cross multiply
12.5*2=30
10*x=10x
10x=30
/10
x=3
Answer:
30
Step-by-step explanation:
2.5X12=30
How many boxes should be shaded on the grid to show 3/8 x 3/4
Answer:
9 boxes
Step-by-step explanation:
What is the y-intercept of y=
-3x
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
The smallest cube has a length of 6 inches.What are the edge lengths of the other cubes if the ratios of similarity to the smallest cube are 1.25, 4/3, 1.5, 7/4 and 2 respectively
Ans is in the attachment
hope it helps :)
plz mark as brainliest
need this asap!!! will give brainliest and a thanks! :))
Answer:
The answer is A
Step-by-step explanation:
I am smart
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?
Answer:
32 cents? This is a weird phrased question!
Step-by-step explanation:
Use the figure to find the measure of angle 1. *
Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
What is the slope and y-intercept of x/3= -y+2 and how?????
Math is the only place where is not questionable as to why someone has 83.
Answer:
true
Step-by-step explanation:
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
Find the interest on an investment of $45,000
compound annually at 5.25% for 6 years
A = P(1 + r)t
Answer:
The interest on the investment is $16,170.93811
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time∵ The investment is $45,000
∴ P = 45,000
∵ The interest on the investment is compounded annually at 5.25%
∴ r = 5.25% = 5.25 ÷ 100
∴ r = 0.0525
∴ n = 1 ⇒ compound annually
∵ It is for 6 years
∴ t = 6
→ Substitute them in the rule above
∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]
∴ [tex]A=45,000(1.0525)^{6}[/tex]
∴ A = 61,170.93811
∵ I = A - P, where I is the interest
∴ I = 61,170.93811 - 45,000
∴ I = 16,170.93811
∴ The interest on the investment is $16,170.93811
Johnny is given 18 bottles of beer and he drinks 6 of them. How much beer does Johnny have left?
Answer: 12 bottles left
Step-by-step explanation:
18-6=12 bottles
Answer:
Johnny will have 7 beer bottles left.
Step-by-step explanation:
4/5x - 1/10 = 3/10 what is the value of x
Answer:
x=1/2 or 0.5
Step-by-step explanation:
Hope this helps and have a great day :)HELP IDK WHAT TO DOOO
Answer:
yes shes correct
Step-by-step explanation:
she is correct because 4 and 4 equal 8 which means each tree coat 10 each which is 80$
Answer:
hint find the diference
Step-by-step explanation:
The question is in the image! Please help if u can its due really soon
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Which of the following expressions is not equivalent to (-2)(8 +6+-3)?
(-2)(8 + 6) + (-2)(-3)
(-2)(8 + 6) + (-3)
(-2)(8) + (-2)(6) + (-2)(-3)
(-2)(8) + (-2)(6 +-3)
NEXT QUESTION
о
ASK FOR HELP
594
Answer:
[tex]b.)31\neq -22[/tex]
Step-by-step explanation:
Simplify each equation using PEMDAS:
Parentheses (x)
Exponents x²
Multiplication and Division, left to right × ÷
Addition and Subtraction, left to right - +
It is also important to follow PEMDAS when working within grouping symbols like parentheses.
Also, remember that two negatives make a positive, and when a negative and positive are multiplied, the result is always negative.
[tex](-2)(8+6+-3)\\\\-2*(8+6-3)\\\\-2*(14-3)\\\\-2*11\\\\-22[/tex]
Find which answer is not equal to -22.
a.) [tex](-2)(8+6)+(-2)(-3)\\\\-2*(8+6)-2*-3\\\\-2*14-2*-3\\\\-28-2*-3\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
b.) [tex](-2)*(8+6)+(-3)\\\\-2*(8+6)-3\\\\-2*14-3\\\\-28-3\\\\-31[/tex]
---------------------------------------------------
c.) [tex](-2)(8)+(-2)(6)+(-2)(-3)\\\\-2*8-2*6-2*-3\\\\-16-2*6-2*-3\\\\-16-12-2*-3\\\\-16-12+6\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
d.) [tex](-2)(8)+(-2)(6+-3)\\\\-2*8-2*(6-3)\\\\-2*8-2*3\\\\-16-2*3\\\\-16-6\\\\-22[/tex]
---------------------------------------------------
Option b is not equal to -22.
:Done
Solve for x
-22=2(x-10)
Answer:
−
2
2
=
2
(
−
1
0
)
x-22={\color{#c92786}{2(x-10)}}
x−22=2(x−10)
−
2
2
=
2
−
2
0
Step-by-step explanation:
Answer:
x=-21
Step-by-step explanation:
first expand the brackets
-22=2x-20
then make x on its own
-42=2x
then dived by 2
-21=x
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???
Answer: 4 and a half
Step-by-step explanation:
spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x
Answer:
12x + 12
Step-by-step explanation:
2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x
Solve 3x(2) = 6x
Next combine like terms
Like terms:
2x + 3x + 6x + 1x + (-3x) + 3x = 12x
4 + 2 + 4 + 2 = 12
Rewrite simplified
12x + 12
^^This is the correct answer assuming that 3x2 x is 3x(2) + x
State if the two triangles are congruent, if they are state how you know.
A. SSS
B. HL
C. LL
Answer:
I belive it would be HL because its defenitly not SSS
Step-by-step explanation:
HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
x·6−14=46
Answer asap!!!! thank you!!
Answer:
x=10
Step-by-step explanation:
[tex]6x-14=46\\6x=60\\x=10[/tex]
Q
H.
The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Step
Statements
Reasons
1
UV || WZ
Given
2
Points S. Q, R, and T all lie on the same line.
Given
3
mZSQT = 180°
Definition of a Straight Angle
Angle Addition Postulate
4
m2SQV + m2VQT = m_SQT
5
Substitution Property of Equality
6
m2VQT + mZZRS = 180°
Same-Side Interior Angles Theorem
Substitution Property of Equality
7
m2SQV+mZVQT = m2VQT + mZZRS
Answer:
i can't understnd it at all i mean you organized it but what does those mean??
Step-by-step explanation:
a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
(70 points) please answer this question and explain how you get the answer!!
Answer: -0.10
Step-by-step explanation:
there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.
Answer: -0.10
Step-by-step explanation:
because of the down fall