Answer:
x = -12
Step-by-step explanation:
Given expression:
-45 = 5(x + 3)
the solution of an algebraic expression is the value(s) that makes the expression true.
In this problem, let us solve for x;
-45 = 5(x + 3)
Applying the distributive property on the right hand side;
-45 = 5x + 15
Now, add (-15) to both sides of the expression;
-45 + (-15) = 5x + 15 + (-15)
-45 - 15 = 5x
-60 = 5x
Then divide both sides by 5;
x = -12
Estimate the solution of system of equations Y=-x+2 Y= 3x-4 A x=3/2 y= 1/2 B x= 1/2 y=3/2 C x=1/2, y= 5/2 D x=5/2, y=1/2
Answer:
C) x = 1/2, y = 3/2.
123x23 312x32 standard algorithm
Answer:
123x23=2829 312x32=9984
Step-by-step explanation:
Marta and Guadalupe are saving for a car. Marta has $500 in her bank account when Guadalupe opens a bank account with zero dollars. Marta deposits $75 into her account each week for x weeks. Guadalupe deposits $95 into her account each week for x weeks. These accounts do not earn interest. Which inequality represents this situation when the amount of money in Guadalupe's account is greater than the amount of money in Marta's account?
Answer:
x>20
Step-by-step explanation:
given that
Marta has $500 in her bank account
Marta deposits $75
the total amount in the account after x weeks is
y=500+75x----------1
Guadalupe deposits $95 into her account each week for x weeks.
the total amount in the account after x weeks is
y=95x-----------2
equating 1 and 2 we have
500+75x=95x
solving for x we have
500=95x-75x
500=25x
x=500/25
x=20
the inequality is
x>20
Kelan ate at his favorite restaurant, The Red Fish. He received excellent service from the waitstaff and decided to leave a 22% tip Before tip, his bill came to $60.
How much would the meal have cost in total, including tip?
$89.00
$46.80
$73,20
$13.20
Answer:
$73.20
Step-by-step explanation:
If he left a 22% tip and the meal cost $60 then we need to do 122% of 60
[tex]1.22*60=73.2[/tex]
Since it is money we add the 0 in the hundredths place and we get
[tex]73.20[/tex]
Mya is buying a purse online,that regularly cost $72 how much will she pay in total if she has a promo code for 25% off, plus free shipping and sales tax is 5.5
Answer:
$56.97
Step-by-step explanation:
Promo code of 25% off =
$72× 25%
= $18
= $72 - $18
= $54
Sales tax = 5.5% of 54
= $2.97
Maya is paying = $54 + $2.97
=$56.97
A salt solution was made by mixing 16 quarts of 2% salt solution and 12 quart of a 51% salt solution. Find the concentration of the new mixture .
The concentration of the new mixture is ___%
Answer:
.33 or 33%
Step-by-step explanation:
multiply 16 times .02, then multiply 12 times .51 add your two answers together. 3.2 + 6.12=28X add 3.2 and 6.12 give you 9.32=28x, divide both sides by 28 which give an answer of .33 or 33%
The large rectangle's dimensions are three times the dimensions of the small rectangle.
a. How many times greater is the perimeter of the large rectangle compared to the perimeter of the small rectangle?
Question 2
b. How many times greater is the area of the large rectangle compared to the area of the small rectangle?
Question 3
c. Are the answers to parts (a) and (b) the same? Explain why or why not.
Question 4
d. What happens in parts (a) and (b) if the dimensions of the large rectangle are two times the dimensions of the small rectangle?
Answer:
The answer Is A! Hope you do Great!
Step-by-step explanation:
Due later today! Please help!!
Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answer:
What is her MPH?
Step-by-step explanation:
HELP ASAP TIMED
PLEASE Find the value of the expression. d 27a^0c^3 for a= 2/3 , c=−1/3
Answer:
-1
Step-by-step explanation:
27a^0c^3
27(2/3)^0(-1/3)^3
Apply the product rule to 2/3.
27(2^0/3^0)(-1/3)^3
Anything raised to 0 is 1.
27(1/3^0)(-1/3)^3
Anything raised to 0 is 1.
27(1/1)(-1/3)^3
Divide 1 by 1.
27 x 1(-1/3)^3
Multiply 27 by 1.
27(-1/3)^3
Apply the product rule to -1/3.
27[(-1)^3(1/3)^3]
Apply the product rule to 1/3.
27[(-1)^3(1^3/3^3)]
Raise -1 to the power of 3.
27(-1^3/3^3)
One to any power is one.
27(-1/3^3)
Raise 3 to the power of 3.
27(-1/27)
Move the leading negative in -1/27 into the numerator.
27(-1/27)
Cancel the common factor and rewrite the expression.
-1
How many half rests are in one whole rest?
2 half rests. 4 beats in a measure half that is 2 a whole rest is 4 beats long
Write the expression:
"twelve less than two times a number"
Answer:
12-2x
Step-by-step explanation:
less than two times a number means 2x here is another example twenty-four times a number 24x
Answer:
12-2x
Step-by-step explanation:
Hope this helps :3
Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to"? This problem has to possible solutions. Please explain the two possible solutions in 2-3 sentences. (One-two word phrases are not accepted).
Answer:
Mile marker 4 or mile marker 6
Step-by-step explanation:
You can think of this problem as a number line problem. The number line represents the trail he's walking on. If he starts at the mile marker 5 and moves to the right one mile, he will find that the next mile marker is 6. But if he moves left, he will find that the next mile marker is 4. See attached picture.
Use the rational exponent property to write an equivalent expression for Vn+ + 3 – 12.
Answer:
hi
Step-by-step explanation:
Answer:
Vn-9
Step-by-step explanation:
calculate the difference
Ten less than half a number is 76. What is the number?
We have that for the Question "Ten less than half a number is 76. What is the number?" it can be said that the number is
x=172
From the question we are told
Ten less than half a number is 76. What is the number?
Generally the equation for the Statement is mathematically given as
[tex]x/2-10=76\\\\Therefore\\\\x/2-10=76\\\\x/2=76+10\\\\x=2*(86)\\\\x=172\\\\[/tex]
Therefore
The number is
x=172
For more information on this visit
https://brainly.com/question/19007362
What is the slope and y-intercept?
Help!!!!!!!!!!!!!!!!!!!!!plz
Answer:
c-4 is less than or equal to -19
Step-by-step explanation:
Because it says the word difference you know that those those integers will be a subtracted.
A forklift has a maximum carrying capacity of 1,400 pounds. a. Each box at the warehouse weighs 50 pounds. Write an inequality to show the number of boxes that the forklift can hold. b. A 150-pound crate is used to hold the boxes on the forklift. What is the maximum number of boxes that the forklift can carry in the crate?
Answer:
a. 50x ≤ 1400 boxes
b. 25 boxes
Step-by-step explanation:
A forklift has a maximum carrying capacity of 1,400 pounds.
a. Each box at the warehouse weighs 50 pounds. Write an inequality to show the number of boxes that the forklift can hold.
Let the weight of this box be represented as x
Hence, the inequality to show the number of boxes the forklift can hold us
50 pound × x ≤ 1400 pounds
50x ≤ 1400
b. A 150-pound crate is used to hold the boxes on the forklift. What is the maximum number of boxes that the forklift can carry in the crate?.
We know already the maximum load the forky can carry is 1400
Hence, our equation is:
150 + 50x ≤ 1400
50x ≤ 1400 - 150
50x ≤ 1250
x ≤ 1250/50
x ≤ 25
The maximum number of boxes the forklift can carry in the crate is 25 boxes
whats 3 plus 3
please help
Answer: 6
Explanation: 3+3=6
Frank and Emily each take out a $160,000 loan for a new house. Each has to repay the loan in 20 years. Frank will pay an interest rate of 2.9% per year. His monthly payments will be $885. Because Emily has a lower credit score, she will have to pay an interest rate of 4.3% per year. Her monthly payments will be $995. How much more will a $160,000 loan cost Emily than Frank?
This loan of $160,000 costs Emily $26400 more than Frank.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As given in the question,
Frank and Emily each take out a $160,000 loan for a new house. Each has to repay the loan in 20 years.
Frank's monthly payments will be $885.
Emily's monthly payments will be $995.
Difference of the total loan payment,
= 20×12[995 - 885]
= 240 × [110]
= $26400
Thus, this loan of $160,000 costs Emily $26400 more than Frank.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ5
what do all unit rates have in common in maths
Answer:
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
Step-by-step explanation:
Answer:
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
Step-by-step explanation:
How can I answer 50x2+15x2 in words I need an answer
Answer:
fity times two plus fifteen times 2 is ...
Step-by-step explanation:
Answer:
fifty times two plus fifteen times two
Step-by-step explanation:
If this helps may i plz have brainliest :)
PLS ANSWER ASAP
Fine the missing measures:
EF:
angle of F is 134, why? Because each triangle is 180 degrees altogether.
Step-by-step explanation:
At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x represent the cost of the hat. Which of the following equations correctly represents Claire’s shopping trip? 0.4x + 5.49 = 5.09 0.4x + 5.49 = 9.49 0.6x + 9.49 = 5.49
Answer:
5.49 is the answer to this
Step-by-step explanation:
hope that helps!
Hannah has an aquarium with 25 liters of water in it. How many milliliters of water are in the aquarium?
Answer:
25,000 milliliters
Can someone please answer these two questions? I put a picture.
Answer:
14. y = x - 6
15. [tex]y = -\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Slope-intercept form is y = mx + b where:
"m" is the slope
"b" is the y-intercept
"x" and "y" are points on the graph.
For each question,
Find the slope by counting rise over run between two points Find the y-intercept by where the graph hits the y-axis Substitute the slope and y-intercept into y = mx + b
14.
Slope:
Two points are (6, 0) and (7, 1).
[tex]m= \frac{rise}{run} \\=\frac{1}{1}\\= 1[/tex]
Y-intercept:
b = -6
y = 1x - 6
We don't need to write the 1.
∴ The equation is y = x - 6
15.
Slope:
Two points are (-2, -4) and (0, -5).
[tex]m = \frac{rise}{run}\\=\frac{-1}{2}[/tex]
Y-intercept:
b = -5
∴ The equation is [tex]y = -\frac{1}{2}x - 5[/tex]
If f(x) = 3x − 1 and g(x) = 6x + 2 , which statements are true? There can be more than one correct answer.
A. f(5) = g(2)
B. f(0) = g(−3)
C. f(1) = g(0)
D. f(−2) = g(1)
Answer:A & C
Step-by-step explanation:
f(5)& g(2)= 14; f(1) & g(0)= 2
Which equation correctly applies the Pythagorean Theorem to solve for the missing side length?
Answer:
A^2+B^2=C^2
Step-by-step explanation:
You plug in the sides to A and B not C,Becuse you are trying to get C.C is called the Hypotenuse,That is what you are trying to figure out
Hope that helps
The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let's recall the Pythagorean theorem formula:
a² + b² = c²
Replacing by the values we have;
x² + 16² = 20 ²
Therefore, the correct answer is B.
The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
#SPJ2
is a slope of 2/3 positive or negative?
Answer:
The slope is gonna be positive
Whats the slope?
Hurryyyyyyyyy
Answer: 3/4
Step-by-step explanation:
When you rise from the first point , it’s three spaces to get in the same line as the second point, then when you run to the right , you are moving four spaces to the right therefore the answer is 3/4
x and y intercepts of 8y=9x-12
Answer:
x-intercept(s): ( 4 /3 , 0 )
y-intercept(s): ( 0 , − 3/ 2 )
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x .
To find the y-intercept, substitute in 0 for x and solve for y .
Answer: 3,9
Step-by-step explanation: divided it
