Answer:
Yes, that is true, and x=45.
Step-by-step explanation:
Yes, that's how you set up the equation I also listed the sets to solve it below:
3x+15=2x+60
-2x. -2x
--------------------
x+15=60
-15 -15
------------------
x=45
You can also plug it in to check your work.
3(45)+15=2(45)+60
135+15=90+60
150=150
Rewrite in simplest radical form! Show your work.
Answer: [tex]\frac{1}{\sqrt[3]{x} }[/tex]
Step-by-step explanation:
Since the base of the exponents are the same, we can go ahead and subtract the exponents.
[tex]\frac{x^{\frac{5}{6}} }{x^{\frac{7}{6} }}[/tex] [subtract exponents]
[tex]x^{-\frac{2}{6} }[/tex] [simplify exponent]
[tex]x^{-\frac{1}{3}}[/tex] [write in radical form]
[tex]\frac{1}{\sqrt[3]{x} }[/tex]
67+k = 83
solve for k
no work needed
Answer:
k = 16
Step-by-step explanation:
Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Subtract 67 from both sides of the equation:
k + 67 = 83
k + 67 (-67) = 83 (-67)
k = 83 - 67
k = 16
16 is your answer for k.
~
If b = 9, what is
[tex] \sqrt{4b} [/tex]
Answer:
= 6
Step-by-step explanation:
[tex]\sqrt{4b}\\ b = 9\\then:[/tex]
= √(4*9)
= √36
= 6
Ted spent half of his weekly allowance playing arcade games. To earn more money his parents let him wash the car for $7. What is his weekly allowance if he ended with $14?
Answer:
14?
Step-by-step explanation:
well if he spent half that means 14 - 7 = 7
7 + 7 is fourteen soooo im pretty sure its 14 yw
To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?
Answer:
5 cups
Step-by-step explanation:
Answer:
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.
For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.
The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.
The unit rate is 2 cups sugar per cup of lemon juice.
Step-by-step explanation:
What is the product of –5 and –8?
–40
–13
13
40
Answer:
40
Step-by-step explanation:
This is the answer because:
1) Whenever you are multiplying negative integers, remeber these rules:
Negative x Positive = Negative
Positive x Negative = Negative
Negative x Negative = Positive
Positive x Positive = Positive
2) Since -5 and -8 are both positive numbers, the answer will be a positive product:
5 x 8 = 40
Therefore, the answer is 40.
Hope this helps! :D
Answer:
D
Step-by-step explanation:
EdgeCourseWare 2021
I've tried soooo many times on this question, but I just can't get it! It's due later today, so if someone would please explain to me what I'm supposed to do. I know what to do, but I'm doing something wrong, but I don't know what. I need to write a recursive and explicit formula for the sequence -16, 4, -1, 1/4, -1/16, 1/64 It is a geometric sequence.
What is the value of 6x power of 2 when x=1.5
Answer:6x=
2=
X=1.5
Step-by-step explanation:
Evaluate 2x + xy + 2-3 for x=-9, y=-5, and
z=-3.
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Answer:
9.25
Step-by-step explanation:
5(0.3) = 1.5
20-1.5=18.5
18.5÷2=9.25
Answer:
y = 9.25Step-by-step explanation:
5x + 2y = 20
when x = 0.3 we have
5(0.3) + 2y = 20
1.5 + 2y = 20
Using the subtraction property subtract 1.5 from both sides of the equation
That's
1.5 - 1.5 + 2y = 20 - 1.5
2y = 18.5
Divide both sides by 2
[tex] \frac{2y}{2} = \frac{18.5}{2} [/tex]
We have the final answer as
y = 9.25Hope this helps you
make f the subject of the formula c=[tex]\frac{5(f-32)}{9}[/tex]
Answer:
[tex]f=\frac{9c}{5}+32[/tex]
Step-by-step explanation:
[tex]c=\frac{5\left(f-32\right)}{9}[/tex]
Switch sides:
[tex]\frac{5\left(f-32\right)}{9}=c[/tex]
Multiply both sides by 9:
[tex]\frac{9\times5\left(f-32\right)}{9}=9c[/tex]
[tex]5\left(f-32\right)=9c[/tex]
Divide both sides by 5:
[tex]\frac{5\left(f-32\right)}{5}=\frac{9c}{5}[/tex]
[tex]f-32=\frac{9c}{5}[/tex]
Add 32 to both sides:
[tex]f-32+32=\frac{9c}{5}+32[/tex]
[tex]f=\frac{9c}{5}+32[/tex]
what is w in this−4(w+1)=−24
Answer:
w = 5
Step-by-step explanation:
Given
- 4(w + 1) = - 24 ( divide both sides by - 4 to isolate w + 1 )
w + 1 = 6 ( subtract 1 from both sides )
w = 5
A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50
off an order. Since the donut shop has gained popularity they have changed their coupon which
now provides a discount of only half their original coupon's value. What is the equation that
represents the value of a customer's order who uses the new coupon with their order?
Help! The most helpful answer will be marked as BRAINLIEST!
Answer:
Step-by-step explanation:
16=5p-6
17=y
Two adults and two children plan to travel round trip from Anchorage to Fairbanks. How much will the trip cost in the summer?
Solve the equation
|-9-7x|=|23-7x|.
Graph the solutions, if possible.
Answer: No Solution
Step-by-step explanation:
When there are absolute values on both sides, you simply just get rid off the signs. (Normally, it results in positive and negative on the other side)
SOLVE:
Given
|-9-7x|=|23-7x|
No absolute value sign
-9-7x=23-7x
Add 7x on both sides
-9=23
ANSWER:
This is no solution, because -9≠23
It’s suppose to be reduced in improper fractions ♀️
3(x-5)/2 = 2(x+5)/3
Answer:
13.
Step-by-step explanation:
Cross multiply: [tex]\frac{3x-15}{2}=\frac{2x+10}{3}[/tex]
Remove the brackets: 3(3x-15) = 2(2x+10)
Move the terms: 9x-45 = 4x+20
Collect like terms and calculate: 9x-4x=20+45
Divide both sides: 5x = 65
One less than the product of four and a number.
(Algebraic expression)
Answer:
1-4x
Step-by-step explanation:
PLEASE HELP
Factor the common factor out of each expression.
1) 16x -6
Answer:
8x-3
Step-by-step explanation:
take a 2 out of each of them
Two hundred fifty nine minus eighty five plus sixty two divided by two in numerical expression
Minus means subtraction.
Plus means addition.
Divided means division.
Two hundred fifty nine minus eighty five plus sixty two divided by two:
259 - 85 + 62 / 2
Solution:
259 - 85 + 62 / 2
259 - 85 + 31
174 + 31
205
Best of Luck!
Answer:
259 - 85 + 62 ÷ 2
And if you need the answer to this expression its 205
G is the midpoint of FH. If FG = x + 5 and GH = 6x, what is GH?
F
G
H
x+5
6x
Answer:
GH is equal to 6x
Step-by-step explanation:
GH is equal to 6x because this has been given to us.
How many times does 85 go into 12
Answer:
-73
Step-by-step explanation:
Answer: -73
Step-by-step explanation: ,
The local coffee house reported losses of -⅜ of their normal profit each day for 3 days. If their normal profit is $350 a day how much money was lost for the 3 days?
Answer:
Total loss in three days = $393.75
Step-by-step explanation:
Given:
Loss amount = [-3/8] of normal profit
Normal profit per day = $350
Find:
Total loss in three days
Computation:
Total loss in three days = 3 [Normal profit per day][Loss amount]
Total loss in three days = 3 [350][3/8]
Total loss in three days = 3[131.25]
Total loss in three days = $393.75
A(5,0) and B(-1, 4) Find the length of the segment. Round to the nearest tenth of a unit.
Hey there! I'm happy to help!
Here's how to find the distance between any two points.
Subtract the x values.
5-(-1)=5+1=6
Square that.
6²=36
Subtract the y values.
0-4=-4
Square that.
-4²=16
Add the two numbers you got.
36+16=52
And square root it.
√52≈7.2.
Have a wonderful day! :D
factorise 4a + 8b - 24
Answer: 4(a+2b−6)
Hope this helps!
Due in 10!!! Fill in the blanks…
A circular grid like this one can be helpful for performing _______
To perform a dilation, we need a ________
, a scale factor, and a ____________
to dilate. In the picture, P is the center of dilation.
sorry this is late!!
#1 - A circular grid like this one can be helpful for performing dilations
#2 - To perform a dilation, we need a (In order to perform a dilation, students will need to know the center of dilation (which can be communicated using the coordinate grid), the coordinates of the polygon that they are dilating (also communicated using the coordinate grid), and the scale factor.)
Donis bought a t-shirt for $15 and jeans for $35.50. If the sales tax rate is 8.25%. What is the sales tax for the t-shirt and jeans in dollars and cents? *
====================================================
Explanation:
15+35.50 = 50.50 dollars is the total before tax is applied.
Take 8.25% of this to get
0.0825*50.50 = 4.16625
and this rounds to 4.17, which is the amount of sales tax charged.
$4.17 = 4 dollars + 17 cents
---------
Extra info:
The grand total will be 50.50+4.17 = 54.67
Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67
The multiplier 1.0825 effectively means "increase by 8.25%"
Can someone help me with this!! I’ve been stuck for awhile!!
Answer:
(C) [tex]h = \frac{2a}{b}[/tex]
Step-by-step explanation:
Here we have the formula for the area of a triangle: [tex]A = \frac{1}{2}bh[/tex]. Our goal is to isolate h on one side of the equation.
To do this, let’s treat the rest of the equation as if there were no variables.
Multiply both sides by 2:
[tex]2a = bh[/tex]
Divide both sides by [tex]b[/tex]:
[tex]\frac{2a}{b} = h[/tex]
Hope this helped!
Can someone help me?
Answer:
3 and 6 5and 4
Step-by-step explanation:
3x - y = 2
and
2x + y = 4
[tex]\frac{3}{1}[/tex]Answer:
Step-by-step explanation:
3x-y = 2
2x+y =4
put them into slope intercept form
y=3x-2
y=-2x+4
Now, you can either graph it or use substitution
3x-2 = -2x+4
+2x +2x
5x -2 = 4
+2 +2
5x = 6
5x/5 = 6/5
x = 6/5
3x -2 = y
3(6/5) -2 = y
3 x 6 / 1 x 5 = 18/5
3 3/5 -2 = 1 3/5
Let me know if it's wrong.
Hope this helps