Answer:
x=6
Step-by-step explanation:
The first thing you do is combine all the equations.
[tex](x-3)+(x-3)+(5x-2)=34\\7x-8=34\\7x=42\\x=6\\[/tex]
Now, with some quick algebra, you got it!
Sandra is thinking of two numbers.
Her two numbers have a negative sum, but a positive product.
Give an example of what her numbers could be.
and
Answer:
-2, -3
Step-by-step explanation:
Any 2 negative numbers would work
When 2 negative numbers are multiplied together, the product is always a positive number
Example: -2,-3
(-2)+(-3)=-5
(-2)(-3)=6
The example of her numbers could be -2 and -3.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the two numbers be x and y.
Two numbers have a negative sum, but a positive product.
So, the two numbers are -x and -y.
Let us consider the two numbers be -2 and -3
Sum of two numbers = [tex]-2+(-3)[/tex]
⇒ [tex]-5[/tex]
Product of two numbers = [tex](-2)(-3)[/tex]
⇒ [tex]6[/tex]
Thus the sum have a negative number and the product is a positive product.
Hence we can conclude that the example of her numbers could be -2 and -3.
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A hibernating animal lost 5 pounds.
Write a signed number to represent this weight change.
Answer:
-2
Step-by-step explanation:
The sign would be negative because the pounds were lost not gained
What is the chance you'll roll this FNC (fair # cube) and it will land on a number less than 5?
A. 4 in 6 chance
B. 3 in 6 chance
C. 1 in 6 chance
D. 5 in 6 chance
PLS I REALLY NEED HELP?
Robert wants to try some new chocolate chip cookie recipes. His current recipe calls for three and a half cups of flour for every bag of chocolate chips. He wants to determine which recipes require more or less flour than his current recipe. Sort the items into the diagram below.
Please attach the diagram with your question
Solve the system of linear equations by substitution.
y = -2x + 10
y = x +1
Step-by-step explanation:
y=14
y=1
thats the answer.
Use the regression calculator to compare the teams’ number of runs with their number of wins.
A 2-column table with 9 rows. Column 1 is labeled R with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. Column 2 is labeled W with entries 93, 94, 66, 81, 86, 75, 61, 69, 55.
What is the y-intercept of the trend line, to the nearest hundredth?
Answer:
-23.21
there should be a two part for this and the answer would be D y= 0.15x - 23.21
Step-by-step explanation:
The line of best will be y = 0.15x - 23.21 and the y-intercept is -23.21 after applying the formula.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
The data is given:
R(x) W(y)
808 93
768 94
655 66
684 81
637 86
619 75
613 61
609 69
563 55
The line of best fit can be written as:
y = mx + c
Here m is the slope of the line best fit and c is the y-intercept
Putting the values in the formula we get:
m = 0.15
c = -23.21
The line of best fit is:
y = 0.15x - 23.21
Thus, the line of best will be y = 0.15x - 23.21 and the y-intercept is -23.21 after applying the formula.
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Select the correct answer.
Which is the graph of the function }(r).= x3 – 3,2 – 417
please help i’m sorry!!! 15 points again!
Answer:
Guess I'll agree with the other person.
Step-by-step explanation:
d: 11
A food company is designing boxes for several products. Each box is a rectangular prism.
15
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school
cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will
the extra large box contain?
I need step by step
How many ounces of cereal will the extra large box contain is 76.8 ounces.
Number of ounces of cereal?Using this formula
Number of ounces of cereal=Number of ounces×Scale factor
Let plug in the formula
Number of ounces of cereal=1.2×4×4×4
Number of ounces of cereal=1.2×64
Number of ounces of cereal=76.8 ounces
Therefore how many ounces of cereal will the extra large box contain is 76.8 ounces.
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Answer fast!!!!!!!!!
Answer:
208?
Step-by-step explanation:
Answer:
Decimal- 2.08
Mixed Number- 52/25
SOMEONE ON THIS PLANET PLEASE HELP
Answer:
38*
Step-by-step explanation:
A 12 foot ladder is leaning against a house. The bottom of the ladder is 3 ft from
the house. How high does the top of the ladder reach? Round to the nearest
tenth.
Answer:
h = 11.61 foot
Step-by-step explanation:
Given that,
The length of a ladder, l = 12 foot
The bottom of the ladder is 3 ft from the house.
We need to find how high does the top of the ladder reach. Let it is h. The length of the ladder will be the hypotenuse. 3 ft will be the base. So,
[tex]12^2=3^2+h^2\\\\h^2=144-9\\\\h=11.61\ \text{foot}[/tex]
So, the top of the ladder is at a height of [tex]11.61\ \text{foot}[/tex].
Write a function role for the total cost.
One frozen yogurt store sells frozen yogurt for $3.00 per cup and $1.25 per topping. Write a linear equation to show the total cost of a cup of frozen yogurt. Then calculate the total price for one cup of frozen yogurt with 4 toppings.
Answer:
y=1.25x+3, $8.00
Step-by-step explanation:
3 is the variable. A cup of frozen yogurt will always be a set price of $3.00. The toppings are the variable, which will depend on how many the customer adds.
Therefore, the equation would be y=1.25x+3
x being the number of toppings added
If the customer orders one cup of ice cream with 4 toppings, the equation would look like:
y=(1.25*4)+3
y=(5)+3 = $8.00 for a four topping cup of frozen yogurt
What is -1/6 as a decimal? a) -16 b) - 6 c) - 6 d) -1.6
Answer:
-0.16666666666666
Step-by-step explanation:
-.16
Answer:
0.1667
Step-by-step explanation:
>
Jess was drawing a map of her neighborhood. What is the measure of the angle of the intersection between Derby
Drive and Rosemont?
>
Academy
(3x + 15°
Rosemont
ogle Play
1030
(x + 10)
Derby Drive
13
23
54
ENG 12:13 AM
INTL 2/3/2021
Answer:
23 degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line is 180°
103+3x+15+x+10 = 180
128+4x =180
4x = 180-128
4x = 52
x = 52/4
x = 13
The measure of the angle of the intersection between Derby Drive and Rosemont is x+10
= 13+10
= 23 degrees
Hence the measure of the angle is 23 degrees
In ΔSTU, s = 3.8 inches, t = 9.8 inches and u=9.6 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answer:
m∠U = 75.7°
Step-by-step explanation:
use Law of Cosines:
9.6² = 3.8² + 9.8² - 2(3.8)(9.8)·cos U
92.16 = 14.44 + 96.04 - 74.48·cos U
92.16 = 110.48 - 74.48·cosU
-18.32 = -74.48·cosU
cos U = -18.32/-74.48
cos U = 0.24597
arccos U = 75.7
Answer:
m∠U = 75.7°
Step-by-step explanation:
its on delta and if you use a calculator then its m∠U = 75.7°
Use the distributive property to find the value of x.
-1.2(3 – x) = -1.8
-3.6 + 1.2x = -1.8
1.2x = 1.8
X= ?
Answer:
1.5
Step-by-step explanation:
-1.2(3-×)=-1.8
-3.6+1.2×=-1.8
1.2×=3.6-1.8
1.2×=1.8
1.2/1.2×=1.8/1.2
×=1.5
100+100+43+12+-21+43=?
Answer:
277
Step-by-step explanation:
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Correct me if I'm wrong, thanks
What is the equation of the line that passes through the point ( -1, 1) and is perpendicular to 2x + 4y = 16?
A. y = −2x − 1
B. y − 3 = 2x
C. y = 6x + 7
D. Cannot be determined
Answer:
B
Step-by-step explanation:
We want the equation of the line that passes through the point (-1, 1) and is perpendicular to:
[tex]2x +4y=16[/tex]
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
So, let's find the slope of the original line first. We can do so by converting it to slope-intercept form. Thus:
[tex]4y=-2x+16[/tex]
Therefore:
[tex]\displaystyle y=-\frac{1}{2}x+4[/tex]
The slope is -1/2.
The negative reciprocal of -1/2 is 2.
Thus, the slope of our new line is 2.
The slope is 2 and it passes through the point (-1, 1).
We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute:
[tex]y-(1)=2(x-(-1))[/tex]
Distribute:
[tex]y-1=2x+2[/tex]
Subtracting 2 from both sides yields:
[tex]y-3=2x[/tex]
Therefore, our answer is B.
Please help I have 2 minutes!
Answer:
I think y= -3x+2 ? not sure
Step-by-step explanation:
Answer:
6 < 2+1= 3F
Step-by-step explanation:
First, we know that the x is going to the right
1 up, 2 down.
If you go down 6 and go back up 1 we will have the equation 6 < 2+1=3F
You can also use Desmos Graphing Chart to help you!
-6 = 1+3 < 4
Hope this helps!
Mark as Brainllest if it helped you!
If you need to make $678 and it costs $28 to make it and you are selling it for $40 each .. What is the minimum you have to sell
Complete question :
Mitch is making birdhouses to sell. He needs to make at least $678. Each birdhouse costs $28 to make. He is selling them for $40 each. What is the minimum he can sell to reach his goal?
Answer:
57
Step-by-step explanation:
you need to make $678 and it costs $28 to make it and you are selling it for $40 each .. What is the minimum you have to sell
Target profit = $678
Expenses per product = $28
Income per sale = $40
Profit per sale = $(40 - 28) = $12
Let number of sales or product = x
Hence,
$12 * x ≥ 678
12x ≥ 678
x ≥ 678 / 12
x ≥ 56.5
To the nearest whole number = 57
4. simplify 32³/⁵. a. 2. b. 8. c. 16. d. 24
Answer:
2^(5×3/5)=2³=8is your answer
Choose all the numbers that 135 is divisible by.
Answer:
1, 3, 5, 9, 15, 27, 45, 135.
Step-by-step explanation:
Answer:
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
hola please help i’ll give brainliest but please answer correctly
Answer:
Step-by-step explanation: 1) 14.5 bc
We have the equation:
43.5 ÷ 3 = 14.500
Calculated to 3 decimal places.
2) They are all the same because they are the same numbers but in different places.
i hope this helps! =3
What is the solution to
-10 = 5(2x – 4)
Answer:
3=x
Step-by-step explanation:
multiply 5 times 2x and 4 which is 10x-20
then you have -10=10x-20
then add 20 to both aides and you'll have
30=10x then divide by 10 to get x alone
and you have
3=x
An alarm rings 8 times in 5 seconds. What is the unit rate ,in rings per second?
n + 5 = n +7 Find a value of n that makes the equation true.
Answer:
This equation has no solution.
Step-by-step explanation:
n should equal some value that makes the statement true, and there is none. To prove this, solve for n and you'll get a nonsensical answer.
n + 5 = n + 7
n = n + 2
0 = 2 ?
A scientist is performing a study on mosquitoes. She collects water with mosquito larvae and places it in an enclosed container in her lab. The scientist uses data from the study to create the function, M(t)=-3t^2+57t-144, where t is the number of days in the study.
Part A: Which equivalent form of M(t) reveals when the mosquitoes first appeared in the container and when there were no more mosquitoes in the container?
Part B: How long were there mosquitoes in the container?
Please show the work love yaa.
Answer:
M(t) = -3 (t - 16) (t - 3)
Step-by-step explanation: Assuming you are working on the practice book - section 5: quadratic equations and functions than this is the correct answer to your question. Although there is another question below the on you have asked on in the actual textbook so if you need help on that just ask me in the comments below.
rewrite in a simpler equivalent form and solve
Given:
The equation is
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
To find:
The simpler equivalent form and solve the given equation.
Solution:
We have,
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
It can be written as
[tex]\dfrac{3x+2}{7}=2[/tex]
Multiply both sides by 7.
[tex]3x+2=14[/tex]
[tex]3x=14-2[/tex]
[tex]3x=12[/tex]
Divide both sides by 3.
[tex]x=\dfrac{12}{3}[/tex]
[tex]x=4[/tex]
Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.