Final answer:
To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as 0.8x + 35 = -7x - 43. Solving for 'x', we find that the number is -10.
Explanation:
To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as:
0.8x + 35 = -7x - 43
To solve for 'x', we need to isolate it on one side of the equation. Let's start by moving the '-7x' term to the left side:
0.8x + 7x = -43 - 35
Combining the 'x' terms and simplifying the right side:
7.8x = -78
Dividing both sides by 7.8:
x = -10
Therefore, the number is -10.
Final answer:
The detailed answer explains how to solve an equation where 35 more than .8 times a number is equal to 43 less than the product of -7 and the number.
Explanation:
The question given is: 35 more than .8 times a number is the same as 43 less than the product of -7 and the number.
To solve this equation step by step:
Let the number be x.
Translate the given sentence into an equation: 0.8x + 35 = -7x - 43.
Solve for x by bringing all x terms to one side and the constants to the other side.
Finally, x = -5.
What is the equation in point-slope form of a line that passes through the points (5, -3) and (-2, 9) ? A y+3= -2(x- 5)
B y-3 = 12/7(x + 5). C y-3=-2(x+5)
D y+3= 12/7(x-5)
Line through (5, -3) and (-2, 9)
The slope is (9 - -3) / (-2 - 5) = -12/7
Point slope form, point (a,b), slope m, is
y - b = m(x-a)
When we pick the point (a,b)=(5,-3) our answer is
y + 3 = -12/7 (x - 5)
That's almost D except for the sign on the slope. The slope is definitely negative so none of the above is correct.
Answer:
the answer is D
Step-by-step explanation:
Savannah went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 350 mg of sodium. Savannah purchased a total of 13 cans of soup and frozen dinners which collectively contain 3050 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
Answer:
65
Step-by-step explanation:
The system of equations is: [tex]\( x + y = 13 \)[/tex] and [tex]\( 200x + 350y = 3050 \)[/tex], where \( x \) represents the number of cans of soup purchased and \( y \) represents the number of frozen dinners purchased.
Let's define:
- \( x \) as the number of cans of soup purchased.
- \( y \) as the number of frozen dinners purchased.
The system of equations would be:
1.[tex]\( x + y = 13 \)[/tex] (since Savannah purchased a total of 13 cans of soup and frozen dinners)
2.[tex]\( 200x + 350y = 3050 \)[/tex] (since each can of soup has 200 mg of sodium and each frozen dinner has 350 mg of sodium, and together they contain 3050 mg of sodium).
9n+27=7n-3
Solving equations- variables on both sides
Answer:
n=-5
Step-by-step explanation:
X is 2,5,6,9,11 and y is 0,2,46,8 is this a function or a nun function
Answer:
yes it is a function because none of the x value repeat. If they did repeat, then when plotted on a graph it would not pass the vertical line test.
Step-by-step explanation:
What is the length of one leg of the triangle?
11 units
11/units
22 units
22/2 units
Answer:
The length of one leg of the triangle is 22 units
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the length of one leg of the triangle
we know that
In the right isosceles triangle of the figure
The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse
[tex]cos(45\°)=\frac{x}{22\sqrt{2}}[/tex] ---> equation A
[tex]cos(45\°)=\frac{\sqrt{2}}{2}[/tex] ----> equation B
equate equation A and equation B and solve for x
[tex]\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
[tex]x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units[/tex]
therefore
The length of one leg of the triangle is 22 units
3x-4 when x = 7 how do I do this equation I’m confused
Answer:
17.
Step-by-step explanation:
1. Plug in 7 for x.
2. 3(7)-4
3. 3 times 7 is 21.
4. 21 minus 4 is 17.
5. The Answer is 17.
anice’s mother gave her a ten dollar bill to buy five pounds each of bananas and apples at the grocery store. When she got there, she found that bananas were 80¢ per pound and apples were $1.40 per pound.
Did Janice’s mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
Answer:
No, she didn't give her enough money. She needs $1 more.
Step-by-step explanation:
5 pounds of bananas at 80¢ per pound
[tex]5*0.80=$4.00[/tex]
5 pounds of apples at $1.40 per pound
[tex]5*1.40=$7.00[/tex]
$4.00 + $7.00 = $11.00
Subtract Anice's $10 from $11.00
[tex]11-10=1[/tex]
Anice needs $1 more
Rewrite 2x - 2y = 8 in slope-intercept form. A -2y = -2x + 8 B 2x = 2y + 8 C x = y - 4 D y = x - 4
Answer:
all work is shown and pictured
The slope-intercept equation of line is [tex]y=x+4[/tex]
Slope-intercept form:The slope- intercept equation of line is written as,
[tex]y=mx+c[/tex]
Where m is slope and c is y- intercept of line.
Given equation of line is, [tex]2x-2y=8[/tex]
[tex]2y=2x+8\\\\y=\frac{2x+8}{2}=x+4\\ \\y=x+4[/tex]
The slope-intercept equation of line is [tex]y=x+4[/tex]
Learn more about the equation of line here:
https://brainly.com/question/18831322
Billy and Maria ordered flyers to advertise the school dance. Flyers cost $8.75 for the
first 50, and $1.50 for each additional 10. The bill was $19.25. How many flyers did
they order?
Answer:
120
because they got 50 for 8.75 and if you add 1.50 until you get to 19.25 you would get 120
Simplify these expressions.
a. 4c + 9 + 3
b. 10x + (–4) + (–10)
c. –9 + 3x + 14
d. 11y + 6 + (–7)
change -2-3 into addition problem
[tex]( - 2 - 3 = [/tex]
Answer: - (2 + 3) = -5
Step-by-step explanation:
When combining numbers that have the same sign, you add them and then include the sign.
For example:
-2 - 3 = -(2 + 3) = -5
-6 - 5 = -(6 + 5) = -11
-7 - 8 = -(7 + 8) = -15
The perimeter of a rectangle is 212. The length is 16 more than 5 times the width. Find the dimensions.
Answer:
Dimensions are
Length= 91 units
Width=15 units
Step-by-step explanation:
The formula for perimeter is 2(l+w) where l is length and w is width.
Given perimeter is 212 units
Let the width , w=x units
Length is 16 more 5 times the width= 5x+16 units
So length will be = 5x+16
and width will be= x
Perimeter = 2(l+w)
212=2( 5x+16+x)
212=10x+32+2x
212=12x+32
212-32=12x
180=12x
180/12=12x/12
15=x----------------------width
For length= 5x+16
l=(5*15) +16
l=75+16=91 units-------------length
I count on equal steps my first number is -2 my fifth number is 26 what’s my third number
Answer:
12
Step-by-step explanation:
28 / 4 = 7
1) -2
2) -2+7=5
3) 5+7=12
4) 12+7=19
5)19+7=26
When moving in equal steps from -2 to 26 over four steps, each step increases the value by 7. Therefore, after two steps from -2, the third number you reach is 12.
Explanation:The question is about stepping evenly or moving in equal intervals from an initial number. Given that the first number is -2 and the fifth number is 26, we need to determine what the third number would be. Taking -2 being the first and the fifth being 26 means there are 4 steps between them. To find the equal steps between, you need to subtract -2 from 26 and divide by 4 (the steps in between), which gives you 7. This means each step increases the value by 7. Therefore, the first number is -2, the second number is -2+7 = 5, and third number is 5+7=12.
Learn more about Stepping in Equal Intervals here:https://brainly.com/question/32415034
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Solve (32-5)+(3*4-2)=
Hello.
Here is the step-by-step
(32-5) + (3*4-2) ---> 27 + (3*4-2)
27 + (3*4-2) ---> 27 + (12-2)
27 + (12-2) ---> 27 + 10
27 + 10 ---> 37
You have to work inside the parenthesis, left to right, then solve.
The result of (32 - 5) + (3 * 4 - 2) is 37.
Begin by solving the operations inside each set of parentheses separately.
For the first parentheses:
32 - 5 = 27
For the second parentheses, calculate the multiplication first before the subtraction:
3 * 4 = 12
Then subtract 2:
12 - 2 = 10
Combine the results: Add the results of the two parentheses together:
27 + 10
Perform the addition:
27 + 10 = 37
-|7 - 10|
Evaluate the following expression
|7-10| = 3 (absolute value), then multiply to the negative sign. answer:-3
Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population? Show your work.
Answer:
the population is 840 initially to which we subtract the 95% that leaves us a total of 42 to which we add the initial amount of population, which would give us as a final result 882
reply:
The total number of people that increased the population was 42 since Joe left, but in total there are 882 people.
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 555, find the numbers..
Answer:
first = 65
second = 325
Third = 165
Step-by-step explanation:
Let the first number = x
first: x
second: 5x
Third = x + 100
first + second + third = 555
x + 5x + x + 100 = 555 Combine
7x + 100 = 555 Subtract 100 from both sides
7x + 100 - 100 = 555 - 100
7x = 455 Divide by 7
7x/7 = 455/7
x = 65
The 7 in 3.47 has a value blank times the value of the 7 in 7.34
Answer:
1/100
Step-by-step explanation:
7 in 3.47 is 7/100
7 in 7.34 is 7
so the first 7 is 1/100 times the value of 7
What is the midpoint of NH
Answer:
the answer would be k or -3 hope this helps
Answer: K
Step-by-step explanation:
The answer for this question would be K
Why is 4.13 x 1000 = 4130 and 413,000 ÷100 = 4130 true
Answer:
Step-by-step explanation:
4.13*1000=4130
Because you move the decimal to the right 3 times'
413000/100=4130
Move the decimal 2 times to the left
The statement [tex]""4.13 x 1000 = 4130[/tex] and [tex]413,000/100 = 4130[/tex]"" is true due to the rules of multiplication and division with powers of ten.
Firstly, when multiplying a number by 10 raised to a power, the decimal point in the number moves to the right as many places as there are zeros in the power of ten. In this case, 4.13 is being multiplied by [tex]10^3[/tex] (which is 1000). The decimal point in 4.13 moves three places to the right, resulting in 4130. This is because [tex]10^3[/tex] means [tex]10 x 10 x 10,[/tex] and each multiplication by 10 moves the decimal point one place to the right.
Secondly, when dividing a number by 10 raised to a power, the decimal point in the number moves to the left as many places as there are zeros in the power of ten. Here, 413,000 is being divided by [tex]10^2[/tex] (which is 100). The decimal point in 413,000 moves two places to the left, resulting in 4130. This is because [tex]10^2[/tex] means [tex]10 x 10[/tex], and each division by 10 moves the decimal point one place to the left.
Therefore, both parts of the statement are true:
- [tex]4.13 multiplied by 10^3 (1000) equals 4130.[/tex]
- [tex]413,000 divided by 10^2 (100) equals 4130.[/tex]
In summary, the operations performed on the numbers are consistent with the rules for manipulating decimal numbers when multiplying or dividing by powers of ten.
28. Find the perimeter of the polygon.
9 mm
a. 55 mm
b. 54 mm
c. 52 mm
Answer:
I don't see a polygon anywhere...
If two parallel lines are cut by a transversal, then would the same side interior angles ever be congruent?
Answer:
Step-by-step explanation:
Yes!
If the traversal is perpendicular to the parallel lines.
What is the range of y= square root x+7+5?
Answer:
12x
Step-by-step explanation:
7+5+x
7+5=12
12+x=12x
X can be any thing so whatever the two variables are use that to get y
Answer:
The range is y≥ 5
Step-by-step explanation:
A small company is creating a new product to sell to buyers. They have estimated that it will cost them $6 to produce each item and they will have start-up costs of $242000. This lead
to the following expression, which gives the total cost, in dollars, to produce q of these new products:
69 +212000
Use this expression to predict how much it will cost them to produce 17600 items.
Answer: It will cost them
dollars to produce 17600 items. (Do NOT include a dollar sign or any commas in your answer or it will be marked incorrect.)
Answer:
$347,600
Step-by-step explanation:
There is fixed startup cost of 242,000 no matter how many units they product.
Also, each unit costs 6 to produce, so to produce 17,600 items, it's going to cost:
17,600 * 6 = 105,600
Along with this the fixed startup cost of 242,000, would make total cost:
Total cost = 242,000 + 105,600 = $347,600
To find the total cost of producing 17,600 items with a production cost of $6 per item and $242,000 in start-up costs, the correct formula ($6 \times 17,600) + $242,000 must be used, yielding a total cost of $347,600.
Explanation:The given expression for the total cost to produce q products appears to be incomplete. Based on the initial information provided, the cost to produce each item is $6, and there are start-up costs of $242,000. If we correct the expression, it should be $6q + $242,000 to find the total cost for producing q items. Thus, to calculate the cost to produce 17,600 items, we use the correct formula:
Total Cost = ($6 \times 17,600) + $242,000
Performing the calculations:
Total Cost = ($105,600) + $242,000
Total Cost = $347,600
Therefore, it will cost the company $347,600 to produce 17,600 items.
Does the point (-4, 3) fall on the graph of this line? How do you know? Show your work. ( 2 points) PLEASE HELP ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Since we know the line goes through points [tex](8,9)[/tex] and [tex](2,4)[/tex], we can construct a line in slope-intercept form
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] is the Y-intercept.
The slope can be found using the two points provided:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]\frac{9 - 4}{8 - 2}[/tex]
[tex]\frac{5}{6}[/tex]
The line is now represented as
[tex]y = \frac{5}{6}x + b[/tex]
To solve for [tex]b[/tex], we can plug in one of the two points:
[tex]y = \frac{5}{6}x + b[/tex]
[tex](9) = \frac{5}{6}(8) + b[/tex]
[tex]4 = \frac{20}{3} + b[/tex]
[tex]b = \frac{-8}{3}[/tex]
We know have our line:
[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]
To determine if the point [tex](-4, 3)[/tex] falls on this line, we just plug the numbers into the equation and see if it holds true:
[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]
[tex](3) = \frac{5}{6}(-4) - \frac{8}{3}[/tex]
[tex]3 = \frac{-10}{3} - \frac{8}{3}[/tex]
[tex]3 = \frac{-18}{3}[/tex]
[tex]3 = -6[/tex]
This does not hold true, so the point is not on the line.
Mauricio’s retirement account allows him to delay paying taxes on contributions until he withdraws the money at retirement. Which statement describes Mauricio’s contributions?
A.
The contributions are tax exempt because they will be taxed at a minimal rate.
B.
The contributions are tax deferred because they will be taxed at a minimal rate.
C.
The contributions are tax exempt because they will be taxed in the future.
D.
The contributions are tax deferred because they will be taxed in the future.
Answer:
C. The contributions are tax exempt because they will be taxed in the future.Step-by-step explanation:
The type of contribution Mauricio is doing is Tax Deferred Contribution, which refers to contributions from investment earnings, like dividends, capital gains or retirements accounts, all these accumulate tax-free fees until the person receive the profits.
Therefore, the right answer here is c, because it will be taxed in the future.
Answer:
D.
The contributions are tax deferred because they will be taxed in the future
Step-by-step explanation:
In the formula I=P.rt, what does r stand for?
a. Rate: the percent that interest is paid annually as a decimal
b. Ratio: the size of the interest interval compared to time
Return: how much money you end up earning
d. Reserves: how much money you have in the investment
C.
Ro
Please select the best answer from the choices provided
Mark thin and nature
Save and Exit
Sithmit
vity
Answer:
a. Rate: the percent that interest is paid annually as a decimal. explanation:In the given formula of simple interest I = P.r.t
P is the principal or initial amount.
r is the rate of interest paid annually as a decimal.
t is the time period in years.
The simple interest formula permits us to calculate I, which is the interest charged or earned on a loan.
4−(2x+4)=5
pls help:)
Answer:
The answer would be -2 1/2
Step-by-step explanation:
Evaluate the expression when m = 6 and n = 31.
Answer:
7
Step-by-step explanation:
n-4m= 31 - 4(6) = 31 -24 = 7
solve the equation for x. Round your answer to the nearest hundredth 8(x-7)=454
Answer: 63.75 or 225/4
I just did it on an IT Inspired inspired Calculator to solve for X and 63.75
Step-by-step explanation:
8(x - 7) = 454
x - 7 = 454/8
x - 7 = 57
x = 57 + 7
x = 64