Final answer:
To solve the inequality -38d-57 ≥ -19d+76, we isolate d, resulting in d ≤ -7, meaning d is any number less than or equal to -7.
Explanation:
The question asks us to solve an inequality: -38d - 57 ≥ -19d + 76. This requires us to isolate the variable d on one side of the inequality.
Add 19d to both sides: -38d + 19d - 57 ≥ 76.
Simplify: -19d - 57 ≥ 76.
Add 57 to both sides: -19d - 57 + 57 ≥ 76 + 57.
Simplify: -19d ≥ 133.
Divide both sides by -19, and remember to reverse the inequality sign when dividing by a negative number: d ≤ -7.
The solution to the inequality is d ≤ -7. This means that d can be any number less than or equal to -7.
How do u graph linear equations like this where it's just y=-5x ?Plz explain
Each marble bag sold by jenny's marble company contains 3 yellow marbles for every 5 orange marbles. if a bag has 15 yellow marbles, how many orange marbles does it contain?
It takes the earth 24 hours to complete a full rotation. It takes mercury approximately 58 days, 15 hours, and 30 minutes to complete a full rotation. How many hours does it take mercury to complete a full rotation?
Mercury takes approximately 1407.5 hours to complete a full rotation, calculated by converting 58 days, 15 hours, and 30 minutes entirely into hours.
Explanation:To calculate how many hours it takes for Mercury to complete a full rotation, we need to convert the given time of approximately 58 days, 15 hours, and 30 minutes into hours. Here are the step-by-step calculations:
First, convert the days into hours. Since there are 24 hours in a day, we multiply 58 days by 24 hours per day.58 days × 24 hours/day = 1392 hoursNext, add the additional hours to the total from the days.1392 hours + 15 hours = 1407 hoursFinally, convert the minutes to hours. There are 60 minutes in an hour, so we divide 30 minutes by 60.30 minutes ÷ 60 minutes/hour = 0.5 hoursAdd this to the total number of hours.1407 hours + 0.5 hours = 1407.5 hoursTherefore, it takes Mercury approximately 1407.5 hours to complete a full rotation.
Let −→ ab= h2, −3, −1i. if the coordinates of a are (2, −1, 5), what are the coordinates of the point b?
Which represents a rational Number and how can you tell?[tex] \sqrt{17} \sqrt{36} \sqrt{50} \sqrt{101} [/tex]
Add.
(6x3+3x2−2)+(x3−5x2−3)
pleaseeeeeee answer in standard form!!!!
Round 90608.5881594 to 1 decimal place
Answer:
90608.6
Step-by-step explanation:
Round 90608.5881594 to 1 decimal place
To round the answer to 1 decimal place , we round the answer to nearest tenth.
In the given number , 5 after decimal point is in tenths place
8 is in hundredths place
Here 8 in hundredths place is greater than 5. If it is greater than 5 then we add 1 in tenths place
So 5 in tenths place becomes 6
90608.5881594 to 1 decimal place is 90608.6
Question 3(Multiple Choice Worth 5 points) (01.06) Jack and Jill had 5 pails of water. Each trip up the hill, Jack and Jill obtained 2 more buckets of water. Which of the graphs below represents Jack and Jill's number of pails over time? graph of line going through 1, 7 and 2, 12 graph of line going through 1, 7 and 3, 11 graph of line going through 2, 6 and 4, 7 graph of line going through 0, 2 and 6, 3
The graph which represents Jack and Jill's number of pails over time is:
graph of line going through (1,7) and (3,11) Step-by-step explanation:It is given that:
Jack and Jill had 5 pails of water. Each trip up the hill, Jack and Jill obtained 2 more buckets of water.
Let x be the number of hills they tripped.
and y denote the number of buckets of water they have.
Then the equation which represent the relationship between y and x is:
[tex]y=5+2x[/tex]
On making a table for x and y:
x y
1 7
2 9
3 11
4 13
5 15
6 17
Hence, the graph will pass through the points (1,7) (2,9) (3,11) (4,13) (5,15) (6,17) and many more.
The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds. Weeds Roses 10 20 20 10
If x represent a number , then write an expression for one half the sum of x and 7
the sum of x and 7 would be x+7
then to get half of that you would divide by 2
so equation is (x+7)/2
70 is 20% of what number
if a=b then ac=bc. this called the of quality.(2words)
what is the solution of 1/3b = -3
write an equasion in slope-intercept form. What are the slope and y intercept? -2x - 11y = 5
y=-2/11x-5/11 is the required slope intercept form
Slope is -2/11
y intercept is -5/11
The given equation is -2x-11y=5, We need to find the slope intercept equation, slope and y intercept.
What is slope intercept form of a line?y=mx+c
m is the slope of the line
c is the y intercept of line
The given equation is -2x-11y=5
We need to separate the y variable to find the slope intercept form
-11y=5+2x
To convert the above equation to slope intercept form, we need to divide both sides by -11.
y=-5/11-2/11x
Therefore y=-2/11x-5/11 is the required slope intercept form for -2x - 11y = 5
Slope is -2/11
y intercept is -5/11
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The total cost CC (in dollars) to participate in a ski club is given by the literal equation C=85x+60C=85x+60, where xx is the number of ski trips you take
How many ski trips do you take if you spend a total of $315? $485?
Answer:
The total cost C (in dollars) to participate in a ski club is given by the literal equation :
[tex]C=85x+60[/tex]
Where x is the number of ski trips you take.
1. When C = 315 ;substituting the value of C in the above equation.
[tex]315=85x+60[/tex]
=> [tex]85x=315-60[/tex]
=> [tex]85x=255[/tex]
x = 3 trips.
2. When C = 485
[tex]485=85x+60[/tex]
=> [tex]85x=485-60[/tex]
=> [tex]85x=425[/tex]
x = 5 trips.
if <PQR measures 75°, what is the measure of <SQR?
geometry help me please
Solve for a. 15(25−5a)=4−a
A- 0
B-−1
C-all real numbers
D- no solution
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]\dfrac{1}{5}(25-5a)=4-a[/tex]
We need to find the value of 'a'.
First we simplify the brackets :
[tex]\dfrac{1}{5}(25-5a)=4-a\\\\25-5a=5(4-a)\\\\25-5a=20-5a\\\\25-20=-5a+5a\\\\5=0[/tex]
which is wrong.
Hence, there is no solution.
Therefore, Option 'D' is correct.
Dos angulos consecutivos de un paralelogramo estan e la relacion de 2 a 7. calcula el mayor angulo del paralelogramo
List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds to each operation
7 + 3 (2 - 3x) = 67
What expression completes the equation 30/2+10
A. 3(2+3)
B. 7(2+1)
C. 6(3+7)
D. 5(4+1)
Using graphite furnace atomic absorption spectrometry, the mean cadmium (cd2 ) content value in a homogenized sample of 40 zebra mussles was found to be 7.50 ppb cd2 with a standard deviation (s) of 0.52 ppb cd2 (assume that s is a good approximation of σ). calculate the 90% and 95% confidence intervals (ci) for: (a) two analyses and (b) five analyses of this homogenized sample.
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
positive
Step-by-step explanation:
The slope is the inclination of the line with respect to the x-axis. It is denoted by the letter [tex]m[/tex]. In mathematical language, the slope [tex]m[/tex] of the line is defined as the difference on the y-axis divided by the difference on the x-axis for two different points [tex]P_1(x_1,y_1)[/tex] and [tex]P_2(x_2,y_2)[/tex] on the line:
[tex]m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}[/tex]
If:
[tex]m>0[/tex] The slope is positive and the line is increasing from left to right[tex]m<0[/tex] The slope is negative and the line is decreasing from left to rightIf a line is vertical the slope is undefined[tex]m=0[/tex] is a constant function.
Since the graph of the linear function shown is increasing from left to right, we can conclude that the slope is positive.
Elton pours 41 1/4 ounces of water from a large pitcher into a bottle. That amount is 2/5 of the water that was in the pitcher. There were _____ ounces of water in the pitcher.
Write your answer as a mixed number in lower terms.
A picture is enlarged by keeping its width the same and increasing its length. The scatter plot shows the perimeter of the picture (y) for different lengths (x):
Answer: This is the CORRECT answer ----> y = 2x + 20
Step-by-step explanation: slope, y2 - y1/x2 - x1
replace it with these numbers 120 - 60/50 - 20=60/30
than,simplified it we get 2/1. so, now we have the slope of our equation
y = 2x + b. but we still have b (or where the y intersects.) now are slope we have to change it to 1/2 because we are going backwards. So multiply 60 by .5, Thus will give us 30
Now we have y = 2x + 30, But that's not one of your answer,
So y = 2x + 20 cant be -20 because this is a positive y intersect and We know it is a slope of 2.
Therefore the answer is : y = 2x + 20
ALSO I know it's correct because I got it right on the test!! Hoped I helped :))
how do you write the decimal 0.7 as a fraction in simplest form
There is 6/8 of a birthday cake leftover after a birthday party. How many 1/4 pieces can be made from the leftover cake?
divide both 6 & 8 by 2 6/2 = 3
8/2 = 4
so 6/8 = 3/4
there is 3 pieces
simplify
14+4(12−34)2
Answer: The required simplified answer is 1950.
Step-by-step explanation: We are given to simplify the following algebraic expression :
[tex]E=14+4(12-34)^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To simplify the given expression, first we evaluate the square term, multiply it by 4 and add the result to 14.
From expression (i), we get
[tex]E\\\\=14+4(12-34)^2\\\\=14+4(-22)^2\\\\=14+4\times484\\\\=14+1936\\\\=1950.[/tex]
Thus, the required simplified answer is 1950.
At the city museum, child admission is $5.20 and adult admission is $8.50 . on friday, three times as many adult tickets as child tickets were sold, for a total sales of $1074.50 . how many child tickets were sold that day?
Which age group is appropriate to receive the 2-dose hpv9 vaccine series?
The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14, according to the CDC.
Explanation:The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14 years old, according to the Centers for Disease Control and Prevention (CDC).
It is recommended to receive the first dose at the age of 11 or 12, and the second dose 6 to 12 months after the first dose.
If the vaccine series is started after the age of 14, three doses are required for full protection.
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