Find the value of y when x = 4 in the equation 4x - 2 = y + 5 Show your work help
Solve for X
8^3x-10 =4^6x-27
Thanks in advance!
[tex]8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}[/tex]
1/2 x 4 + 1/2 x Z
A. 4(1/2 + Z)
B. Z(1/2 x 4)
C. 1/2 x (4 + 1/2) x Z
D. 1/2(4 + Z)
Answer:
D. 1/2(4 + Z)
Step-by-step explanation:
1/2 x 4 + 1/2 x Z
We can factor out a 1/2 since it is in both terms
1/2 (4+z)
[tex]\dfrac{1}2{\times4+\dfrac{1}{2}\times z=\boxed{\dfrac{1}{2}}\times4+\boxed{\dfrac{1}{2}}\times z=\boxed{\dfrac{1}{2}}\times(4+z)}\\\\Answer:\ \boxed{D.\ \dfrac{1}{2}(4+z)}[/tex]
Which inequality is true? A. |-15| > |-19| B. |-16| < |13| C. |-15| > |12| D. |12| < |-8| E. |-19| > |-20|
Answer: C
Step-by-step explanation: |-15| is 15. |12| is 12. 15 is greater then 12.
A. F(x) < 0 on the interval x < 0.
B. F (x) > 0 on the interval x <0.
C. F (x) < 0 on the interval 0 < x < 1.
D. F (x) > 0 on the interval 0 < x < 1.
E. F (x) < 0 on the interval 1 < x < 3.
F. F (x) > 0 on the interval 1 < x < 3.
G. F (x) < 0 on the interval x > 3.
H. F (x) > 0 on the interval x > 3
f(x) > 0 - I and II quadrant
f(x) < 0 - III and IV quadrant
Look at the picture.
A. F(x) < 0 on the interval x < 0. TRUE
B. F (x) > 0 on the interval x <0. FALSE
C. F (x) < 0 on the interval 0 < x < 1. TRUE
D. F (x) > 0 on the interval 0 < x < 1. FALSE
E. F (x) < 0 on the interval 1 < x < 3. FALSE
F. F (x) > 0 on the interval 1 < x < 3. TRUE
G. F (x) < 0 on the interval x > 3. TRUE
H. F (x) > 0 on the interval x > 3. FALSE
Molly basic cell phone plan charges $35.99 for service plus $0.18 per minute beyond the included 250 minutes in the plan. How much will it cost Molly if she used her cell phone for 390 minutes in one month?
Answer: Her cell phone bill will cost her $61.19
Step-by-step explanation: If it cost 0.18 per min make sure you read the question right
FIRST ANSWER WILL BE BRAINLIEST!!
prove that the sum of the measures of the interior angles of a triangle 180 degrees be sure to create and name in the appropriate geometric figures
Answer:
Step-by-step explanation:
if ABC is a triangle then <]ABC + <}BCA +<}CAB = 180 degrees
Poof:
Draw line a through points A and B. Draw line B through point C and parallel to line a
Since line a and b are parallel <] BAC = <] B'CA and <]ABC = <}BCA'.
it is obvious that <}B'CA + <}ACB + <]BCA' = 180 degrees
Thus <]ABC + <)BCA + <)CAB = 180 degrees
Lemma:
if ABCD is quadrilateral and <)CAB = <}DCA then AB and DC are parallel.
Step-by-step explanation:
Consider a triangle ABC and let ∠A + ∠B + ∠C = 180°
Construct a straight line DE running parallel to BC and passing though A.
Now let
∠BAC = 1
∠ABC = 2
∠ACB = 3
∠DAB = 4
∠EAC = 5
Therefore we know that
∠DAB = ∠ABC (alternate angles), so 4 = 2
∠EAC = ∠ACB (alternate angles), so 5 = 3
Now line CE is straight line and we know that angle for a straight line 180°.
Thus ∠DAB + ∠BAC + ∠EAC = 180°
or ∠ABC + ∠BAC + ∠ACB = 180°
or ∠A + ∠B + ∠C = 180°
Thus proved.
a grasshopper can jump 2 feet . A football field is 100 yards long how many jumps will it take a grasshopper to travel the length of the football field
Answer: 150 jumps
Step-by-step explanation:
1 yard is = 3 ft.
100 yards is 300 ft.
300/2 = 150
Answer:150 jumps
Step-by-step explanation: so 1 yard is 3 feet. 100 times 3 is 300.
a grasshopper can jump 2 feet, so we need to divide by 2.
300ft divided by 2 is 150 jumps
Please help with this word problem
Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of garlic in every 900 mL of sauce.
A) its too garlicky
B) its not garlicky enough
C)it is perfect
Answer:
B) Not Garlicky enough.
Step-by-step explanation:
You divide 500 by 8 to make it a unit. Then multiply that by 12. That equals 750. Therefore there is not enough garlic.
What number is the substitution of 4(3x+9) and 5x+8
Answer:
-4
Step-by-step explanation:
If the question is for which x the equations 4(3x+9) and 5x+8 produce the same answer, the answer is x=-4
4(3x+9) = 5x+8
12x + 36 - 5x - 8 =0
7x = -28
x = -4
Write a fraction with a decimal value between 1/2 and 3/4. Right both the fraction and the equivalent decimal.
Answer:
3/5 = .6
Step-by-step explanation:
1/2 in decimal form is .50, and 3/4 in decimal form is .75. We can choose any fraction that has the decimal form of .51 to .74. I'll choose .60.
.60 in fraction form is 60/100. We can simplify this down to 3/5.
write an equation of the line that passes through (2,-5) and is parallel to the line 2y=3x+10
Answer:
y=3/2+5
Step-by-step explanation:
Answer:
[tex]\frac{3}{2}x^{2} +5x-21[/tex]
Step-by-step explanation:
put into y=mx+b form
William was going to sell all his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought 6 more. How many did he start with if he now has 32?
Answer:52 stamps
Step-by-step explanation: He has 32 now. You subtract 6, as he bought 6 more. Then you double this as he sold half. That gives you 52
Starting with the equation (x/2) + 6 = 32, we solve for x to find that William originally had 52 stamps in his collection.
Explanation:Let's use algebra to solve the problem William faced with his stamp collection. We can let the variable x represent the original number of stamps William had. According to the question, he sold half of his stamps and then bought 6 more, ending up with 32 stamps. This can be expressed as the equation (x/2) + 6 = 32. To find the original number, we solve for x:
(x/2) + 6 = 32(x/2) = 32 - 6(x/2) = 26x = 26 * 2x = 52Therefore, William started with 52 stamps in his collection before he sold any to consider buying a video game.
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Out of 75 students, 15 are on the student council. What percent of the students are NOT on the student council?
Answer: 80%
15 are on the council, so 75-15 = 60 are not on the council. Therefore, 60/75 = 0.80 = 80% of the students aren't on the council.
An alternative way to find this answer is to compute 15/75 = 0.20 = 20% showing that 20% of the students are on the council, so 100% - 20% = 80% are not on the council.
To find the percent of students not on the student council, subtract the number of students on the council from the total number of students and calculate the percentage.
Explanation:To find out what percent of the students are NOT on the student council, we need to subtract the number of students who are on the student council from the total number of students and then calculate the percentage.
Number of students on the student council: 15
Total number of students: 75
Number of students NOT on the student council: 75 - 15 = 60
Percentage of students NOT on the student council: (60/75) * 100 = 80%
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The results for a survey of 130 students who were selected randomly are listed below:
•70 students have a cell phone plan with company X
•32 students have a cell phone plan with company Y
•28 students do not have a cell phone
The total population of students was 390. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company X?
A) 210
B) 96
C) 84
D) 724
Answer:
A) 210
Step-by-step explanation:
The percentage of students who have a cell phone plan with company x is student with plan x over total.The total is 130
P(x) = 70/130
The number of students with cell phone company x is found by multiplying the total number of students times the percentage of students with company x
Students with company x = total * P(x)
= 390 * 70/130
= 210
Answer:
A) 210
Step-by-step explanation:
70 students have company X, out of the sample size 130. This forms the fraction 70/130.
n students have company X, out of the population 390. The n is simply a placeholder for a number. This forms the fraction n/390
Equate the two fractions, cross multiply, then divide both sides by 130 to solve for n
Doing all that gives us the following
70/130 = n/390
70*390 = 130*n ..... cross multiply
27300 = 130n
130n = 27300
130n/130 = 27300/130 ...... divide both sides by 130
n = 210
Out of the entire population, the best approximation to the number of students who have company X is 210 people.
Charlie guesses that his dog weighs 34.5 pounds. The dog actually weighs 32.7 pounds.
What is the percent error in Charlie’s guess, to the nearest tenth of a percent?
A: 0.05%
B: 0.5%
C: 5.2%
D: 5.5%
Answer:
d 5.5
Step-by-step explanation:
Answer:
D: 5.5%
Step-by-step explanation:
Please help
The tape diagram
what the simplified of 2/3 dived by 2/9
Answer:
3
Step-by-step explanation:
Divide [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{9}:[/tex]
[tex]\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot \dfrac{9}{2}=\dfrac{2\cdot9}{3\cdot 2}=\dfrac{9}{3}=3.[/tex]
Find the solution to this system 5x-2y=-11 -2+5y=17
Answer:
The answer is x= -17/25 y= 19/5
Step-by-step explanation:
The system of equations 5x-2y=-11 and -2+5y=17 has the solution x=-1.4 and y=3.8 after substitution and simplification.
Explanation:The given system of equations is 5x-2y=-11 and -2+5y=17. To solve this system, we need to isolate the variables. Let's start by cleaning up the second equation to 5y=19, you do that by adding 2 on both sides. This implies y=19/5 or y=3.8. Now, we can substitute y into the first equation: 5x - 2*(3.8) = -11. Solve this for x and you get x=-1.4. So the solution to the system of equations is x=-1.4 and y=3.8.
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What is the answer to linear equation: 9t = -3
Answer:
-3
Step-by-step explanation:
Anything that is negative multiplied by a negative is a positive so knowing this, you can multiply -3*-3=9 or divide 9/-3=-3
Hope this helps
<> Anna <>
Answer:
The answer to linear equation 9t=-3 is t = - (1/3)
Step-by-step explanation:
9t=-3
Solving for t: Dividing both sides of the equation by 9:
9t/9=-3/9
t=-(3/9)
Simplifying the fraction on the right side of the equation dividing the numerator and denominator by 3:
t = - (3/3) / (9/3)
t = - (1/3)
A box of cany holds 34 pieces when fiest opened. The box is 3/8 full. How many pieces of candy have been eaten?
Answer:
21.25 pieces of candy have been eaten.
Step-by-step explanation:
Pretty much, we have to start by finding how many times 8 can go into 34, which is 4.25. So if we are subtracting the whole from three eighths, 3/8 will equal 12.75/34. 34-12.75= 21.25. Therefore, 21.25 pieces of candy have been eaten.
PLEASE HELP, THIS IS DUE TOMORROW!!!
Do number 1 all of the letters, a, b, c, d , e , and f.(its just connecting the equations).
for number 2, just do b and c.
if you know how to do 3, (b and c), that would be great.
Can someone help me please giving a lot of points for these
Everyone else will be a congruent to the first one triangle.
Answer:
One
Step-by-step explanation:
You can only make one. This shows that one triangle
need help with these questions. show work to plzzzz
[tex]2.\\k(x)=2x^2-3\sqrt{x}\\\\k(9)\to\text{put the value of x = 9 to the equation of the function:}\\\\k(9)=2(9)^2-3\sqrt9=2(81)-3(3)=162-9=153\to\boxed{(4)}\\\\3.\\3(x^2+2x-3)-4(4x^2-7x+5)\qquad\text{use distributive property}\\\\=(3)(x^2)+(3)(2x)+(3)(-3)+(-4)(4x^2)+(-4)(-7x)+(-4)(5)\\\\=3x^2+6x-9-16x^2+28x-20\qquad\text{combine like terms}\\\\=(3x^2-16x^2)+(6x+28x)+(-9-20)\\\\=-13x^2+34x-29\to\boxed{(2)}[/tex]
[tex]4.\\p(x)=x^2-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\ \vee\ x=6\to\boxed{(3)}[/tex]
solve for x in the triangle
tan(angle) = opposite/adjacent
tan(37) = x/14
14*tan(37) = x
x = 14*tan(37)
x = 10.5497567
x = 10.5
Answer: 10.5
Please answer question ASAP!!!!
Points I will give:25
4 - 2x = 10 A) -7 B) -3 C) 0 D) 3
Answer:
B) -3
Step-by-step explanation:
4 - 2x = 10
Subtract 4 from each side
4-4 - 2x = 10 -4
-2x = 6
Divide by -2
-2x/-2 = 6/-2
x = -3
Answer:
x= -3
Step-by-step explanation:
First, you would subtract 4 from both sides to isolate the -2x, which makes -2x=6. Then to isolate the x, you divide by the negative 2 (negative because the subtract sign is before it.) to get x=-3
Tessa drew a scale drawing of the elementary school. She used the scale 1 centimeter : 7 meters. The school yard is 7 centimeters in the drawing. How wide is the actual school yard?
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
If 1cm = 7m
then:
7c = 49m
A light bulb consumes 600 watt-hours per day.how many watt-hours does it consumes in 3 days and 6 hours
Answer:
1950 watt-hours
Step-by-step explanation:
3 days and 6 hours is equivalent to 3.25 days because there are 24 hours in a day and 6/24 or 6 out of 24 is equivalent to 6÷24 which is 0.25.
0.25 + 3= 3.25 which is the time.
Multiply 3.25 by 600 to find the watt-hours in 3 days and six hours.