Answer:
x= -8
Step-by-step explanation:
First distribute: 3(2x+3)-x is equal to 6x+9-x, or 5x+9
Rewrite: 5x+9=x-23
Add 23 to both sides to get rid of it on one: 5x+32=x
Subtract 5x from both sides to get rid of it on one: 32= -4x
Divide by -4: -8=x
Answer:
x = -8
Step-by-step explanation:
[tex]3(2x + 3) - x = x - 23[/tex]
➡️ [tex]6x + 9 - x = x - 23[/tex]
➡️ [tex]5x + 9 = x - 23[/tex]
➡️ [tex]5x - x = - 23 - 9[/tex]
➡️ [tex]4x = - 32[/tex]
➡️ [tex]x = - 8[/tex] ✅
What would be the BEST FIRST STEP to solve this equation?
2
15 + -a= -5
3
The best first step would be adding the 15, 2, and 3 and then subtracting -5 so you can solve was -a equals to
Joanie has two 12-inch long wood pieces and two 16-inch-long wood pieces. What is the combined length of the wood pieces?
A. 28 inches
B. 32 inches
C. 56 inches
D. 192 inches
You have 2 different savings accounts. For Account A, the simple interest earned after 9 months is $5.70. For Account B, the simple interest earned after 27 months is $32.40. If the interest rate is 3.8% for Account A and 2.4% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer:
Principal in account A = $200
Principal in account B = $600
Account B earned more interest in the first month.
Step-by-step explanation:
Given two accounts:
Account A:
Time = 9 months = [tex]\frac{9}{12}[/tex] years
Interest rate = 3.8%
Interest earned = $5.70
Account B:
Time = 27 months = [tex]\frac{27}{12}[/tex] years
Interest rate = 2.4%
Interest earned = $32.40
To find:
Principal in each account.
Most interest earned in the first month?
Solution:
First of all, let us have a look at the formula for Simple Interest.
[tex]SI = \dfrac{P\times R\times T}{100}[/tex]
Putting the values for Account A and finding the value of Principal:
[tex]5.70 = \dfrac{P_A \times 3.8\times 9}{100\times 12}\\\Rightarrow P_A = \dfrac{570\times 12}{3.8\times 9}\\\Rightarrow P_A=\$200[/tex]
Now, Putting the values for Account B and finding the value of Principal:
[tex]32.40 = \dfrac{P_B \times 2.4\times 27}{100\times 12}\\\Rightarrow P_B = \dfrac{3240\times 12}{2.4\times 27}\\\Rightarrow P_B=\$600[/tex]
Interest earned in one month i.e. [tex]\frac{1}{12}[/tex] years:
Account A:
[tex]SI_A = \dfrac{200\times 3.8\times 1}{100\times 12}\\\Rightarrow SI_A = \$0.63[/tex]
[tex]SI_B = \dfrac{600\times 2.4\times 1}{100\times 12}\\\Rightarrow SI_B = \$1.2[/tex]
Account B earned more interest in the first month.
Therefore, the answers are:
Principal in account A = $200
Principal in account B = $600
Account B earned more interest in the first month.
Which of the following fraction is the smallest?
12/14
13/19
17/21
7/8
Answer:
13/19
Step-by-step explanation:
12/14 = 0.86
13/19 = 0.68
17/21 = 0.81
7/8 = 0.88
13/19 is smallest
Answer:
A. (8, 7), B (19, −12), C (−21, 14)
Step-by-step explanation:
You swap the X and Y coordinate for reflections over y=x
HELP PLS ASAP!!!!!! WILL GIVE FIRST ANSWER BRAINLIEST!!!!
Answer:
step by step below
Step-by-step explanation:
14. y = x²+4x+1
y=x+1
x+1 = x²+4x+1
x²+3x=0 x(X+3)=0
x=0 or x=-3
18. y=x²-3x-20
y=-x-5
-x-5 = x²-3x-20 x²-2x-15 = 0 (x-5)(x+3) = 0
x=5 or x=-3
20. y=x²+5x+1
y=x²+2x+1
x²+2x+1 = x²+5x+1 3x = 0
x = 0
22. y=-x²-3x-2
y=x²+3x+2
x²+3x+2 = -x²-3x-2 2x²+6x+4 = 0 2(x²+3x+2) = 2 (x+1)(x+2) = 0
x = -1 or x = -2
Need help with these 2
Thank you
Answer:
13. is 4
14. is (9 and -2 x m)
Step-by-step explanation:
w = 3
5x3 + [-2x3} + 4 = 13
\15/ - \6/ = 9 + 4 + 13
4. A car travels 120 miles in the same amount of time that it takes a truck to travel 100 miles. The car travels 10 miles per hour faster than the truck. Find the speed of the truck
Answer:
The speed of the truck is 1,200 miles.
Step-by-step explanation:
Car = 10 MILES PER HOUT FASTER THAN THE TRUCK.
Truck = X times 10
X = 120 MILES times 10
120 times 10= 1,200, BECAUSE IF YOU TAKE THE "1" FROM "10" IT'LL BE "1" FROM THE 10, TIMES 120 MILES WHICH = 120. NOW TAKE THE "0" FROM THE 10 AND ADD *0* AT THE END OF THE ANSWER YOU GOT WHICH WAS "120." THEN YOUR ANSWER WILL BE 1,200 IF YOU ADD THE "0" AT THE END.
*and also useable on a calculator depending on your grade level*
Which factor or factors listed below are external influences on a loan's interest rate?
1. the borrower's credit history
II. the length of the loan
III. the federal funds rate
a. I and II
b. I and III
c. II and III
d. III only
Answer:
D
Step-by-step explanation:
EDGE 2021
(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
What is the slope of the line 4х – 1 = 3y + 5
Answer:
4/3 or
Step-by-step explanation:
Let's get this equation into y=mx+b form.
m=slope b=y-int
Subtract 5 from both sides to isolate y on a side.
4x-6=3y
Divide both sides by 3 to isolate y on one side.
(4/3)x-2=y
y=(4/3)x-2
m=4/3
b=-2
So our slope is 4/3
The following histogram shows the number of items sold at a grocery store at various prices:
Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 1. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 5. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.
50 POIINNTTS SSWhich of the following data sets is represented in the histogram?
{1, 0, 5, 1}
{0.99, 5.01, 5.25, 6.79, 6.99, 7.50, 7.51}
{0.75, 2.50, 7.50, 7.50, 7.50, 7.50, 10.00}
{2.50, 2.51, 5.00, 5.01, 7.50, 7.51, 10.00}
Answer:
{0.99, 5.01, 5.25, 6.79, 6.99, 7.50, 7.51} second option
Step-by-step explanation:
You can see from the histogram that there is
- one value = 0.99 that is from 0 to 2 dollars and 50 cents
- no values between 2 dollars and 51 cents and 5 dollars
- 5 values between 5 dollars and 1 cent to 7 dollars and 50 cents
-1 value between 7 dollars and 51 cents to 10 dollars
All the four bars the value of dollar fall between the range of 0 dollar to the 10 dollar. This condition satisfy only by the option C.
Hence, The option C is the correct option which is,
{0.75, 2.50, 7.50,7.50,7.50,7.50,10.00}
Given-
Histogram titled number of Items Sold with Price Range on the x axis.
Histogram titled number of Items Sold on the y axis.
The range of bar 1 is 0 to 2 dollars and 50 cents and has a height of 1. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 1 is 1 to 2.5 dollar.
The range of Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 2 is 2.51 to 5 dollar.
The range of bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 5. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 3 is 0.01 to 7.5 dollar.
The range of bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 4 is 7.51 to 10 dollar.
In all the four bars the value of dollar fall between the range of 0 dollar to the 10 dollar. This condition satisfy only by the option C.
Hence, The option C is the correct option which is,
{0.75, 2.50, 7.50,7.50,7.50,7.50,10.00}
For more about the histogram follow the link below,
https://brainly.com/question/2962546
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 :)~
How many 2/7 s are in 3?
Answer: 11 is the answer.
there are 11 2/7's in 3 with a remainder of 1/7, 11 1/7.
Step-by-step explanation:
Answer:
10.5 or 21/2
Step-by-step explanation:
The question is asking how many 2/7 are in 3. So let make 3 a equivalent fraction that has 7 as it denomanater. 7/7 is 1, 14/7 is 2, so 21/7 is 3. Now let divide 21/7 by 2/7. flip 2/7 around to 7/2 then multiply by 21/7 which equals
[tex]\frac{147}{14}[/tex] which equals 10.5 or 21/2.
A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?
In Δ,∠=70°,∠=50° ∠ .
ℎ ∠.
Answer:
100°
Step-by-step explanation:
A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.
In triangle ABC:
70° + 50° + ∠C = 180° (sum of angles in a triangle)
120 + ∠C = 180
∠C = 180 - 120
∠C = 60°
Since ∠C is bisected into ∠ACD and ∠BCD, hence:
∠ACD = ∠BCD = ∠C / 2
∠ACD = ∠BCD = 60 / 2
∠ACD = ∠BCD = 30°
In triangle ACD:
∠A + ∠ACD + ∠ADC = 180° (sum of angles in a triangle)
50 + 30 + ∠ADC = 180
∠ADC + 80 = 180
∠ADC = 100°
9/11 = 13.5/b. Find the B. MARKING BRAINLIST!!
Answer:
b = 16.5
Step-by-step explanation:
Given
[tex]\frac{9}{11}[/tex] = [tex]\frac{13.5}{b}[/tex] ( cross- multiply )
9b = 148.5 ( divide both sides by 9 )
b = 16.5
Answer:
16.5
Step-by-step explanation:
we want to get b in the numerator and we want to get rid of the fractions so we multiply both sides by 11*b to get
9b=13.5*11
9b=148.5
divide both sides by 9 to get b by itself to get
b=16.5
Re-do
-3 > 2/3p
Find inequality! :D
Answer:
p < -9/2 or p < -4.5
Step-by-step explanation:
-3 > 2/3p
-3 * 3> 2p
-9/2 > p
-9/2 > p or -4.5 > p
1 question for brainless :)
Jorge has planted some bean seeds in potting soil in clay pots and sets the pots on a sunny window ledge. Write a hypothesis related to which plant part Jorge will observe first-the bean pods or the leaves. Explain why you think your hypothesis is correct.
Answer:
The leaves
Step-by-step explanation:
The Bean Pods are the "fruit" of the plant. By the time there are pods, the leaves would have already been there.
Hope this helps :)
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.
Determine if the triangles are congruent. If yes, by which theorem?
O no
O yes, SSS
O yes, SAS
Ο Ο.
O yes, ASA
O yes, AAS
O yes, HL
Answer:
Yes ASA.
Step-by-step explanation:
ASA
what percent of 11 is 54.7
Answer:
6.017
Step-by-step explanation:
Answer:
6.017
Step-by-step explanation:
rocky,tony,junior received all there weekly salaries,tony received $3000 while junior received:$9000 if the ratio of tony salary to rocky salary is 3:6 what is the ratio of rocky salary to junior salary?
Answer:
6:9 or 2:3
Rocky's salary is $6000
what is the area of a 10 inch circle
Answer:
79 square inches
Step-by-step explanation:
If Luke is 5 feet and 9 inches tall and Ben is 6 feet and 2 inches tall, What is their total height in centimeters rounded to the nearest centimeter? (There are 2.54 centimeters in 1 inch)
Hannah has a chicken coop with 6 hens. Let X be the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
What is the standard deviation of the distribution?
1.39
1.95
2.16
4.67
Answer:
1.39
Step-by-step explanation:
Creating a table:
X :___0 __ 1 __ 2 ___ 3 ____ 4 ___ 5 ___ 6
P(x):0.02_0.03_0.07, 0.12, 0.30_ 0.28_0.18.
The standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - E(x)²
E(x) = ΣX*p(x)
E(x) = (0*0.02) + (1*0.03) + (2*0.07) + (3*0.12) + (4*0.30) + (5*0.28) + (6*0.18) = 4.21
Var(X) :
((0^2*0.02) + (1^2*0.03) + (2^2*0.07) + (3^2*0.12) + (4^2*0.30) + (5^2*0.28) + (6^2*0.18)) - 4.21^2
19.67 - 17.7241
= 1.9459
Standard deviation = sqrt(Var(X))
Standard deviation = sqrt(1.9459)
Standard deviation = 1.3949551
= 1.39
Given the equation: y= 2x +
graph the y-intercept. Use full sentences.
Answer:
In this equation, y = 2x - 5, it is already in that form and so the cumber in front of the x is the slope (2) and the constant number is the y-intercept (-5) - it's negative because of the minus sign in front of the number. So, the slope is 2 and the y-intercept is -5.
Step-by-step explanation:
Simon has a farm and has to buy a certain amount of feed for each animal. He buys feed once a month and counts all of his animals to see how much feed he needs to buy. Chicken feed is about $0.5 per chicken, each horse eats about $5 worth of feed, and goats eat about $4 worth of feed. What equation should he use to find how much he should spend on feed?
A. 0.50 +5h + 4g = total spent on feed
B. 9.5a = total spent on feed
C. 0.50 +5h + 40 = 100
D. 0.59 +49 +5g = total spent on feed
Answer:
A
Step-by-step explanation:
youre looking for the total spent, and then each variable from the word equation
Answer:It is B because you add 5+4 and you get 9 and than you have 9 you have 5 cences
so it is $9.05
22 – 25x + 5 = -63 + 5x
Answer: x = 3
Step-by-step explanation:
first, we calculate.
27 - 25x = -63 + 5x
then, we move the terms around.
-25x - 5x = -63 - 27
next, we collect the like terms.
-30x = -90
finally, we divide both sides.
x = 3
{(0, 8), (1,2), (3,7), (5,9), (3,6)}
Function or not
Answer:
No
Step-by-step explanation:
The is only one output for each value
In the following circle paragraph what percent of the students have a C in Miss Rogers science class 81% 16% 19% or 21%
Given:
In Miss Rogers science class, 32%, 33%, 11%, 5% of students have A, B, D, F respectively.
To find:
The percent of the students have a C in Miss Rogers science class.
Solution:
We know that, sum of the percentages of all parts of pie chart is 100%. So,
[tex]A+B+C+D+F=100\%[/tex]
Substituting the given values, we get
[tex]32\%+33\%+C+11\%+5\%=100\%[/tex]
[tex]C+81\%=100\%[/tex]
[tex]C=100\%-81\%[/tex]
[tex]C=19\%[/tex]
So, 19% of the students have a C in Miss Rogers science class.
Therefore, the correct option is C.
Answer:
I think it's 81%
Step-by-step explanation:
Trust me
If wrong tell me i'll fix it