Answer:
x=4
Step-by-step explanation:
4x+6=8x-10
6= 8x-10-4x
6=4x-10
6+10=4x
16=4x
16/4=x
4=x
x=4
Answer:
x = 4
Step-by-step explanation:
Subtract 8x from both sides.
4x + 6 - 8x = 8x - 10 - 8x
−4x + 6 = −10
Subtract 6 from both sides.
−4x + 6 − 6 = −10 − 6
−4x = −16
Divide both sides by -4.
[tex]\frac{-4x}{-4} = \frac{-16}{-4}[/tex]
x = 4
Mark as Brainllest plz
Please help me with this math question lol
Answer:
120 students are predicted to like chocolate chip ice cream best.
Step-by-step explanation:
40% = 0.4
Multiply 300 by 0.4 to get 40% of 300.
300 × 0.4 = 120
Pls help it is khan academy pls and thx! :)
1) Deb owns a cake shop and she is working on two wedding cakes this week. The first cake
consists of 5 small tiers and 3 medium tiers, which will serve a total of 252 guests. The
second one includes 1 small tier and 3 medium tiers, which is enough servings for 168
guests. How many guests does each size of tier serve?
A small tier will serve
guests and a large tier will serve guests.
Answer: Hope this helps
Step-by-step explanation:
Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.
The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.
The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.
The system of equations is then { 3s+m=100 3s+2m=140
{
3s+m=100
3s+2m=140
Part B:
The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:
3s+2m amp;= amp;140 −(3s+m amp;= amp;100) m amp;= amp;40
3s+2m
−(3s+m
m
amp;=
amp;=
amp;=
amp;140
amp;100)
amp;40
Substitute m=40m=40 into either equation and solve for ss:
3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20
3s+m
3s+40
3s
s
amp;=100
amp;=100
amp;=60
amp;=20
The solution of the system is then (s,m)=(20,40)
(s,m)=(20,40)
.
Part C:
Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.
If two numbers are in the ratio 6:13 and their LCM is 312, then find the numbers.
Answer:
The two numbers are 12 and 26
Step-by-step explanation:
let the first number = a
let the second number = b
The ratio of the numbers is given as;
[tex]\frac{a}{b} = \frac{6}{13} \\\\a = \frac{6b}{13}[/tex] -------- (1)
The lcm of the two numbers is given as;
a x b = 312
ab = 312 --------- (2)
From equation (1), [tex]a = \frac{6b}{13}[/tex]
[tex]b(\frac{6b}{13} ) = 312\\\\\frac{6b^2}{13} = 312\\\\6b^2 = 4056\\\\b^2 = \frac{4056}{6} \\\\b^2 = 676\\\\b = \sqrt{676} \\\\b = 26\\\\From \ equation \ (1);\\\\a = \frac{6b}{13} \\\\a = \frac{6 \times 26}{13} \\\\a = 12[/tex]
Therefore, the two numbers are 12 and 26
what is the value of 4/15÷2/3
Answer:
2 /5
Step-by-step explanation:
The figure below is made up of two rectangles.
What is the total area, in square feet, of the figure?
Answer:
Total area of figure = [3x² + 7x + 6] feet²
Step-by-step explanation:
By dividing both rectangle by vertical line;
Given:
Length of big rectangle = (x + 3) feet
Width of big rectangle = (x + 2) feet
Length of small rectangle = 2x feet
Width of small rectangle = (x + 1) feet
Find:
Total area of figure
Computation:
Area of rectangle = Length x width
Total area of figure = Area of big rectangle + Area of small rectangle
Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]
Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]
Total area of figure = [3x² + 7x + 6] feet²
Find the distance between the points (-3, -4) and (-5, 2) using the Pythagorean Theorem.
Answer:
d=6.324
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
[tex]d=\sqrt{(-5-(-3)^{2} +(2-(-4)^{2} }[/tex]
[tex]d=\sqrt{(-5+3)^{2}+(2+4)^{2} }[/tex]
[tex]d=\sqrt{(-2)^{2}+6^{2} }[/tex]
[tex]d=\sqrt{4+36}[/tex]
[tex]d=\sqrt{40}[/tex]
[tex]d=6.324[/tex]
Hailey Bell bought a flute for $150 and sold
it for $175. Find her percent of profit based
on the cost and on the selling price.
hondise totaling
Answer:
the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively
Step-by-step explanation:
The computation of the profit percentage based on the cost & selling price is shown below:
The Profit percentage on the cost is
= (Sale price - cost price) ÷ (cost price) × 100
= ($175 - $150) ÷ ($150) × 100
= 16.67%
ANd, the profit percentage based on the selling price is
= (Sale price - cost price) ÷ (selling price) × 100
= ($175 - $150) ÷ ($175) × 100
= 14.29%
Hence, the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively
If AJKL ~ AMKN, find the value of x.
Answer:
14
Step-by-step explanation:
The two triangles are similar
KN/KL = MN/JL
12/32 = (x+1)/(3x-2) multiply the fractions
36x-24 = 32x+32 export like terms to the same side
36x-32 = 32 + 24
4x = 56 divide both sides by 4
x = 14
Elsa took out a 2-year loan to buy a car at a 6% simple interest rate. If she has to pay $264 in interest;
How much interest did she pay each 1 year?
How much principal did she borrow?
Answer:
P = I / rt is the formula we're going to use.
P is the principle (which is what we're solving for)
I = the interest accrued over the specified amount of time (2 years)
r = the interest rate (6%)
t = the time specified (2 years)
Change the percent to a decimal. Place the decimal two places to the left to make 0.06.
P = 264 / 0.06(2)
P = 264 ÷ 0.12 = 2,200
Principal borrowed would be $2,200
can you guys help me pls
Answer:
D. (4 1/2, 2 1/2)
Step-by-step explanation:
Look for each point on the coordinate graph.
Birth control pills have a theoretical annual efficacy of 99.5%, but a real-worls efficacy of only 95%. If a college student takes the pill for the four years she is in college, what is the probability that she will become pregnant at least once using the theoretical efficacy rate?
A. 0
B. 0.005
C. 0.020
D. 0.185
Answer:In my opinion B.0.005 is the correct answer
Step-by-step explanation:
hope it will help you
f(x) = 3log(x + 7) - 5?
Answer:
12
Step-by-step explanation:
Simplify 3 log(x+7) by moving 3 inside the parentheses with 7.f(x)=log((x+7)3)−5
Need help in those three algebra 1 problems
Step-by-step explanation:
HOLA, SOY DORA. DO YOU WANNA HELP ME AND BOOTS.
Me:heck no
Her:LETS GO!
MAMA PAPA
HELPPP MEEEE IM GOING CRAZZZZYYY
This is my last question by the way
Part A:
There are 25 blocks for the length, and the length of each is 5.5 inches. 5.5x25=137.5
There are 9 blocks for the height, and each is 2.75 inches. 2.75x9=24.75
Since we're trying to find how much longer the length is to the width, we find the difference. 137.5-24.75=112.75
So part A answer is 112.75 (or 112¾)
Part B:
We know the length is 137.5 and the height is 24.75. To find how many times longer the length is, we need to divide to see how many 24.75 can go into 137.5.
137.5÷24.75=5.55
So the answer to part B is 5.55. Given the context, the answer would probably be 5, because that's how many entire height can fit.
Sorry if it's wrong lol
An account is open with initial deposit of $5500 and earn 2.5% interest compounded annually. What will the account be worth in 10 years
Answer:
FV= $7,040.46
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,500
Number of periods (n)= 10 years
Interest rate (i)= 2.5%
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 5,500*(1.025^10)
FV= $7,040.46
Brandon has four more than 3 times the amount of money that Dale has. Together they have $44. What equation represents this? How much money does Dale have? How much money does Brandon have?
Answer:
Equation: 4 + 3n. Dale's Money: $7.3¢ Brandon's money: $25.9¢Step-by-step explanation:
Equation
Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.
Dale's Money
Given: $44 in total
44 ÷ 2 (To know how much they have equally)
22
22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)
7.3
Therefore, Dale has $7.3¢
Brandon's money
Given: 4 + 3n. Dale has 7.3
Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)
21.9 (Then add four because Brandon has four more...)
25.9
Therefore, Brandon has $25.9¢
The amount that Brandon and Dale have is $34 and $10, respectively.
What is an equation?An equation is formed when two expressions are equated with each other with the help of an equal sign.
Let the amount of money that Brandon has be x, and Dale has be y.
As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is
[tex]x + y = \$44[/tex]
Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,
[tex]x = 4 + 3y[/tex]
Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,
[tex]x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10[/tex]
Now, substitute the value of y in the second equation we get,
[tex]x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34[/tex]
Hence, The amount that Brandon and Dale have is $34 and $10, respectively.
Learn more about Equation:
https://brainly.com/question/24944275
$43,000 invested at a rate of 5% compounded annually for 3 years.
A study was done to investigate the relationship between a between eating sugary snacks and a test that measures a
student's memory and attention. The correlating linear model is shown below, where x represents the number of sugar
snacks a student ate, and y represents the student's test score.
Interpret the rate of change (slope).
y = -5x
Answer:
Each additional sugary snack eaten is associated with a loss of five points on the test.
Step-by-step explanation:
Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step
Answer:
All terms separated by 6 so #20 = 4 + 6 * 19 = 118
(if the first term were 6 instead of 4 the 20th would be 120)
Also, #10 = 58 and #11 = 64 (you can use the same reasoning)
The 1st and 20th term add to 4 + 118 = 122
The 2nd and 19th add to 10 + 112 = 122
Likewise 10th and 11th add to 58 + 64 = 122
So 10 * 122 = 1220
ASAP ! The the area of a rhombus is 135 cm". The length of one diagonal is 15cm.
What is the length of the other diagonal
25 cm
O
12 cm
o
18 cm
20 cm
We want to find the zeros of this polynomial:
p(x) = 2x^3 – x^2 - 8x + 4
Plot all the zeros (z-intercepts) of the polynomial in the interactive graph.
Answer:
Step-by-step explanation:
The point is that any graphing calculator will work. We use Desmos on Brainly.
The graph below is your complete answer.
You can actually find the zeros by factoring
p(x) = x^2(2x - 1) - 4(2x - 1)
p(x) = (2x - 1) (x^2 - 4)
p(x) = (2x - 1) (x - 2)(x + 2)
I have to hurry. If this is not enough, let me know.
If one cookie costs $0.30, how much would 36 cookies cost?
O A. $9.18
O B. $9.80
O C. $10.80
D. $12.00
Answer:
C.
Step-by-step explanation:
All you have to do is multiply the cookie cost by the cookies and that gives you your answer.
0.30 * 36 = 10.80
The cost of 36 cookies is $10.80
1 cookie= $0.30
36 cookies= x
Cross multiply
1x= 0.30 × 36
1x= 10.8
x= 10.8
Hence the price of 36 cookies is $10.80
Please see the link below for more information
https://brainly.com/question/23032240?referrer=searchResults
PLS HELP SOLVE!!!!!!! FOR 10 POINTS SHOW YOUR WORK PLEASE!!!!!
9514 1404 393
Answer:
x = 60
Step-by-step explanation:
You are correct that the angles are complementary.
That means their sum is 90°.
(x -30)° + x° = 90°
2x -30 = 90 . . . . . . . divide by °, collect terms
2x = 120 . . . . . . . . . . add 30
x = 60 . . . . . . . . . . . . divide by 2
Answer:
[tex]x \: = 60[/tex]Step-by-step explanation:
#CarryOnLearninghello please help me i need to finish today
Answer:
I think it’s a reflection followed by a transformation
Step-by-step explanation:
A, B, C and D form the vertices of a parallelogram.
AD = 11.1cm, AB = 15.5cm and ZBAD = 71°.
Find the area of the parallelogram. Round to 1 DP.
Answer:
Area = 162.70 square centimetre.
Step-by-step explanation:
From the given question,
AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°
The area of the parallelogram can be determined by;
Area = AD x AB x Sin <BAD
= 11.1 x 15.5 x Sin 71°
= 172.05 x 0.94552
Area = 162.67672
= 162.70 [tex]cm^{2}[/tex]
Therefore, the area of the given parallelogram is 162.70 square centimetre.
Using distributive property write 42+63
Answer:
7(6+9)
Step-by-step explanation:
What is the interquartile range for Genivieve’s data?
Answer:
May you please attach a picture of Genivieve’s data or insert it as text?
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
i got 100% on edmentum
PLEASE HELP !! ILL GIVE 40 POINTS PLUS BRAINLIEST !!
Step-by-step explanation:
lkh, Jkm. Correct me if im wrong :^
The window above Matt's front door is shaped like a triangle.
How many equal-length sides does the window have?
Enter the correct answer in the box.
PLEASE HELP
Answer:
It has 2 equal side lengths