Answer:
Estimate.
18,185 + 493 = 20,000 + 500 = 25,000
Step-by-step explanation:
18,185 + 493
18,185 rounded to the nearest ten thousand is 20,000
493 rounded to the nearest hundred is 500
A grid shows the position of a subway stop and your house. The subway stop is located at (-10,-1) and your house is located at (-18,-16). What is the distance between your house and the subway stop?
A. 15
B. 27
C. 19
D. 17
Answer: 15
Step-by-step explanation:
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
please help!!!!!!!!!!!
Answer:
x= 40
Step-by-step explanation:
The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.
Answer:
40
Step-by-step explanation:
[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]
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Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
Mr.Smith saved $15 by buying a tool at a 10% discount. What was the original price for the tool?
Pls i'll mark brainliest i beg you ppl i need the answer in a couple min.
Answer:
$150
Step-by-step explanation:
Well we know that 10% is going to equal 1/10 of 100%.
So now just multipy 15% times 10 to get the original price.
PLEASE HELP ME OUT! WIL GIVE BRAINLIEST TO ANYONE WHO ANSWERS BOTH OR ATLEAST ONE AND SHOW WORK!! THANK YOUU
Answer 1 is the attached pic
Answer:
16
Step-by-step explanation:
(-2i)(8i)
(2(cos(3π/2)+i×sin(3π/2)))×(8(cos(π/2)+i×sin(π/2)))
2×8(cos(3π/2+π/2)+i×sin(3π/2+π/2))
16(cos(2π)+i×sin(2π))
16(cos(0+2π)+i×sin(0+2π))
16(cos(0)+i×sin(0))
16(alternate form)
the following chart shows the number of rows in an auditorium and the total number number of seats. what equation defines the number of seats with respect to the number of rows?
a. s=20r+100
b. s=40r+120
c. s=20r+60
d. s=20r
Answer:
The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.
The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.
Given that;
The chart shows the number of rows in an auditorium and the total number of seats.
Since, The equation is satisfy the given numbers in chart.
So, Let an equation for chart;
s = 20r + 60
Where, s is number of seats and r is number of rows.
Now, Substitute the value of r = 20 for the number of first rows in above equation we get;
s = 20 × 20 + 60
s = 400 + 60
s = 460
And, For second row, r = 45
s = 20 × 45 + 60
s = 900 + 60
s = 960
Thus, The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
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Anybody know the slope to this?
What’s 14/4 as a decimal
Answer:
3.5
Step-by-step explanation:
You would do 14 divided by 4! Hope this helped
Answer:
3.5
Step-by-step explanation:
14 divided by 4 equals 3.5
Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence.
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
Write an integer for the situation: 1,464 feet above sea level
Answer:
The answer is 1,464.
The answer will be -1,464, when 1464 is "below sea level".
I hope it help you...
Put these into y=mx+b format SHOW YOUR WORK!!!! x-7y=7 and 6x-7y=-28
A car is traveling at a steady speed. It travels 1 and 3/4 minutes in 2 and 1/3 minutes how far will it travel in 41 minutes
Answer:
54 6653/10000
Question 1
Find an expression equivalent to 8(2x+1)(x-2)(x+3)
Answer:
18x + 13
Step-by-step explanation:
just add like terms after multiplying 2x + 1 by 8
16x + 8
x - 2
x + 3
18x + 13
What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?
Answer:
the answer would be t56 im guess ing along with x
Step-by-step explanation:
The line of symmetry for the parabola represented by the equation is
x = 1.
What is a parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given an equation of a parabola, y = -x²+2x+6
Factorizing the equation, we get,
x = 1+√7 or x = 1-√7
We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.
We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:
(1+√7 + 1-√7)/2 = 1
Hence, the equation represents the line of symmetry of the given parabola is x=1.
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Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?
Answer:
The puppy's adult weight would be 25 lbs.
Step-by-step explanation:
5 / .20 = 25
To check:
25 x .20 = 5
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Dominic wants to test if one of two types of fertilizer (a standard fertilizer and a new product) is better for producing melons of equal weight after a three-month fertilization program. Dominic has two identical land plots (1 and 2) and is considering how to assign 30 melon plants, each of which has a numbered tag, to the fertilizer. What is the best way to do this as a matched-pairs design?
A. Put all the odd-numbered melons in plot 1 and the even-numbered melons in plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
B. Assign the melons completely at random to the two plots using a coin flip, heads meaning plot 1 and tails meaning plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
C. Obtain pairs of melon plants whose seedling heights are roughly equal at the start of the experiment and randomly assign one of the pair to plot 1 and the other to plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
D. Obtain pairs of melon plants whose seedling heights are roughly equal at the start of the experiment and put the taller of each pair into plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
E. Divide the 30 melon plants into two groups, with the 15 tallest seedlings in one group. Randomly choose which plot to assign the tallest plants and assign the smallest plants to the other plot. Then give the standard fertilizer to plot 1 and the new product to plot 2.
Answer:
C
Step-by-step explanation:
A. is wrong because having a different height for each seedling and not trying to keep it equal is simply worse than making sure the heights are identical.
B. Completely wrong because it would likely result in 1 plot having more melon seedlings than the other.
C. Correct because it makes sure the seedlings are the same height at the beginning of the experiment, allowing less randomness in the experiment.
D. Putting the taller of a each pair for 1 plot makes it the experiment rigged in favor of the plot with taller seedlings
E. Same issue as D.
Please help if you know trig, will give brainliest! Thank you!
Answer:
sin^2(a) I believe. Delete my response if needed.
Step-by-step explanation:
tan²(α) (2 cos²(α) + sin²(α) - 1)
Recall that sin²(α) + cos²(α) = 1 for all α. Then sin²(α) - 1 = -cos²(α) :
tan²(α) (2 cos²(α) - cos²(α))
tan²(α) cos²(α)
Rewrite tan(α) = sin(α) / cos(α) :
(sin(α) / cos(α))² cos²(α)
(sin²(α) / cos²(α)) cos²(α)
Cancel the factors of cos²(α) :
sin²(α)
Solve (-2/5) (-1 1/4)
Answer:
-1/9
Step-by-step explanation:
y2-y1
x2-x1
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
Step-by-step explanation:
3x + y + 72 = 180
3x + y = 108 .... (1)
2x + y = 90 ..... (2)
(1) - (2)
x = 18°
y = 54°
Answer:
Step-by-step explanation:
Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP
use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.
PLS HELP
Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!
Expand and simplify (x + 3)(x-4)
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
Kiara made the table below to show the IQ scores and grade point averages (GPAs) of students in her class. She made another table to show the standardized test scores and IQ scores.
IQ, GPA, and SAT Scores
IQ
GPA
IQ
Standardized Test Score
120
3.7
120
1540
85
2.3
85
800
110
3.0
110
1,200
96
2.7
96
1000
100
2.9
100
1100
She graphs the data in each table and writes the rounded values as shown for the regression line y = a x + b.
I Q and G P A. a = 0.04. b = negative 0.9. I Q and Standardized Scores. A = 20. b = negative 924.
Next, Kiara uses the steps below to predict a student’s standardized test score based on the student’s GPA of 4.0.
Step 1 Write the equation of the trend line for IQ and GPA.
y = 0.04 x minus 0.9
Step 2 Write the equation of the trend line for IQ and standardized test score.
y = 20 x minus 924
Step 3 Find the IQ that is expected from a GPA of 4.0.
y = 0.04 x minus 0.9. 4 = 0.04 x minus 0.9. 4.9 = 0.04 x. 122.5 = x.
The IQ is about 122.5.
Step 4 Find the corresponding standardized test score for an IQ of 122.5.
122.5 = 20 x minus 924. 122.5 = 20 x minus 924. y = 523.
The standardized test score is 523.
In which step did Kiara make the first error?
step 1
step 2
step 3
step 4
Answer:
Step 4 D
Step-by-step explanation:
Answer:
step 4
Step-by-step explanation:
what’s 8.43 x 10^7 in standard form?
23. ANALYZING EQUATIONS
The cross section (with
units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x^2
How far is the
receiver from the vertex of the cross section? Explain.
Answer:
9.5 in
Step-by-step explanation:
The receiver is placed at the focus of the parabola at a distance of 1/4a from the vertex. Here that would be 1/(4*(1/38)) or 38/4 inches or 9.5 in
The receiver lies 9.5 inches far from the vertex of the cross-section.
Given that,
The cross-section (with units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x².
To determine how far is the receiver from the vertex of the cross-section.
A parabola is a cross-section cut out of the cone and represented by an equation, y =4ax².
Here,
The receiver is located near the parabola's focus, 1/4a away from the vertex. That would be 1/(4×(1/38)) or 38/4 inches or 9.5 in. in this case.
Thus, the receiver lies 9.5 inches far from the vertex of the cross-section.
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Please Please PLEASE help me
How do I solve this using the quadratic formula? −6x^2−2−3x=−8
Could you also show your work?
Thanks
Answer:
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Step-by-step explanation:
First, we need to get the equation into the polynomial form. Add 8 to both sides:
[tex]-6x^{2} -2-3x=-8[/tex]
[tex]-6x^{2} +6-3x=0[/tex]
Rearrange the equation so that it is in standard form:
[tex]-6x^{2} -3x+6=0[/tex]
Remember the quadratic formula:
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the coefficients of the problem when it is in standard form. In this case, [tex]a=-6[/tex], [tex]b=-3[/tex], and [tex]c=6[/tex]. Now, all we need to do is plug those into the quadratic formula.
[tex]\frac{-(-3)+/-\sqrt{(-3)^{2}-4(-6)(6)} }{2(-6)}[/tex]
Simplify:
[tex]\frac{3+/-\sqrt{153}}{-12}[/tex]
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Hope this helps!
Simplify the expression:
5a - 2a + 9
Answer:
3a+9
Step-by-step explanation:
Answer:
3a+9
Step-by-step explanation:
5-2=3 then 3a=9 it pretty simple
Chuck took a slice of pizza from the freezer and put it in
the oven. The pizza was heated at a constant rate. The
table compares the pizza's temperature (in degrees Celsius) and the time since Chuck started heating it (in minutes). 4 minutes is 25 degrees celsius, 6 minutes is 40 degrees celsius and 8 minutes is 55 degrees celsius. How many minutes will it take for the pizza to reach 100 degrees celsius?
Answer:
16 Minutes
Step-by-step explanation:
[tex]\frac{4}{25} \\ \\[/tex] = [tex]\frac{16\\}{100}[/tex]
Both the numerator and denominator is multiplied by 4.
Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.
Answer:
-2.4 · [tex]10^{5}[/tex]
Step-by-step explanation: