How do you solve this using the elimination method of systems of equations?
Answers
x+3y=9
-x+2y=-14 } +
x+3y=9
---------------
5y=-14+9
5y=-5
y=-5/5
y=-1
x+ 3*(-1)=9
x-3=9
x=9+3
x=12
The answer is (6,1) Hope this helps!!!!!!
Related Questions
the product of 2 consecutive natural numbers is greater than their sum by 109. find the numbers
Answers
n(n+1)-109=n+n+1
n²+n-109-2n-1=0
n²-n-110=0
(n-11)(n+10)=0
n=11
n+1=12
☺☺☺☺
13x = 32 + 5x this one is solving the equation and checking the solution
Answers
13x=32+5x
13x-5x=32
8x/8=32/8
x=4
check:
13(4)=32+5(4)
52=32+20
52=52 right!
how would I solve 4 1/19 × 1 10/21 ?
Answers
2.) Multiplying two fractions. [tex] \frac{77}{19} [/tex] x [tex] \frac{31}{21} [/tex]=[tex] \frac{2387}{399} [/tex]. 3.) Simplifying a fraction. [tex] \frac{2387}{399} [/tex] = [tex] \frac{341}{57} [/tex]. 4.) Since the numerator greater then the denominator, convert the improper fraction to mixed number. [tex] \frac{341}{57} [/tex] = 56+5x57/57 = 5 [tex] \frac{56}{57} [/tex]
Find the possible values of n in the inequality -3n<81
A. n<27
B. n>-27
C. n=-27
D. n=27
Answers
n > -81/3
n > - 27 <==
** in an inequality, if u divide/multiply by a negative number, u have to change the inequality sign
72 is 48% of what number
Answers
= 18/1 x 48/25
= 864/25
= 34 14/25
The number for which 72 is 48 percent of is approximately equal to 150.
To find the number that corresponds to 72 being 48% of it, set up an equation.
Let "x" represent the unknown number.
The equation for "72 is 48% of x" can be written as:
72 = 0.48 × x
To solve for "x," divide both sides of the equation by 0.48:
x = 72 / 0.48
x ≈ 150
Therefore, 72 is 48 percent of approximately 150.
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What is the solution to this equation? 3(d+2)−12=d−2 A)d = 2 B)d = 4 C)d = 8 D)d = 10
Answers
Answer: d = 2
Step-by-step explanation:
3(d+2)−12=d−2
How do you solve this math problem-2(x+3y)=18
Answers
Solve for x.
[tex]-2(x+3y)=18[/tex]
Distribute the Parenthesis. How? Multiply all of the terms inside the parenthesis by the number outside the parenthesis.
[tex](-2)*x+(-2)*3y=18[/tex]
[tex]-2x-6y=18[/tex]
Add 6y to both sides.
[tex](-2x-6y)+6y=(18)+6y[/tex]
[tex]-2x=18+6y[/tex]
Divide both sides by -2.
[tex](-2x)/-2=(18+6y)/-2[/tex]
The Answer Is:
[tex]x=-9-3y[/tex]
[tex]x=-3y-9[/tex]
Hope this helps.
-Benjamin
18 out of the 25 students are going on the field trip. What percent of the students are going on the field trip?
can you provide the math to please
Answers
To find the percentage of how many students went on the field trip, we simply divide 18 by 25.
18/25 = 0.72
Convert decimal into fraction.
0.72 = 72%
Thus, 18 out of 25 students = 72% of students who are going on the field trip.
You're welcome.
I am the largest 7-digit number you can write with the digits 3, 6, 9, 4, 0, 8, and 2
Answers
Hope this helps, let me know if there's anything else I can help you with :)
Which function represents the graph of y=10(4)x ?
f
g
h
j
Answers
Valerie and Bret have a total of 24 dog show ribbons.bret has twice as many ribbons as Valerie how many ribbons does each have
Answers
Write two ratios that are equivalent to 5/7
Answers
10:14
20:28
30:42
hope this helps :D
Simplify. -(2/3)(-9y)(3/2)(8x)(1) A. 72xy B. –72xy C. 72 D. 0
Answers
Hope this helps...........
How can I solve this?
f(x) =
[tex] {10}^{x} [/tex]
Solve,
[tex] {f}^{ - 1} (1)[/tex]
.
Answers
Merry Christmas
Kirk has 12 dollars less than jim if Jim spends half of his money and Kirk spends none then Kirk will have two dollars more than jim how much money did they both start with
Answers
Find the measure of the numbered angles
Answers
Some information was cut off but I'll assume that its a parallelogram.
If it's a parallelogram, then angles 1 and 3 are equal and angle 2 and the angle marked as 110 degrees are equal.
Next we know that angles 1 and 2 are supplementary(adds to 180) so angle 1 is 70 degrees.
Because angle 3 is equal to angle 1, angle 3 is also 70 degrees.
Hope this helps :)
the universal set is represented in a venn diagram by
Answers
Can anyone explain this to me?
Answers
One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster? Explain how you know.
Answers
rate for Tank 1 = x gallons per hour = a gallons / b hours
[tex]T_{1}=\frac{\frac{5}{8}}{\frac{7}{10}}\\\\T_{1}=\frac{5}{8}*\frac{10}{7}\\\\T_{1}=\frac{50}{56}\\\\\\Fill\ rate\ of\ Tank\ 1=\frac{25}{28}[/tex]
rate for Tank 2 = y gallons per hour = c gallons / d hours
[tex]T_{2}=\frac{\frac{5}{9}}{\frac{2}{3}}\\\\T_{2}=\frac{5}{9}*\frac{3}{2}\\\\T_{2}=\frac{15}{18}\\\\T_{2}=\frac{15}{18}\\\\\\Fill\ rate\ of\ Tank\ 2=\frac{5}{6}[/tex]
Suppose 8 out of 20 students are absent from school less than five days a year. Predict how many students would be absent from school less than five days a year out of 40,000 students
Answers
Tara makes 30 cups of donut topping by mixing sugar and cinnamon. The ratio of sugar to cinnamon is shown in the tape diagram.
Answers
Answer: 18 cups.
Step-by-step explanation:
From the given picture we can see
The ration of sugar to cinnamon in the donuts topping =[tex]\frac{\text{no. of blue box }}{\text{no. of green box}}=\frac{3}{2}=3:2[/tex]
Thus, the number of sugar cups to make 1 donuts topping=[tex]\frac{3}{3+2}=\frac{3}{5}[/tex]
The number of sugar cups to make 30 cups of donuts toppings[tex]\frac{3}{5}\times30[/tex]
[tex]=3\times6\\=18\ cups[/tex]
The number of cups required to make 30 cups of donuts toppings=18 cups
8 is 40 percent of what number
Answers
Answer:
20%
Step-by-step explanation: So 40 percent = 100 percent. If you divide 40 percent by 5 you get 8. 1/5 is equal to 20% and 8 is a fifth of 40. So the answer is 20%.
We have that the 8 is 40 percent of 20 and it is mathematically given as
x=20
Arithmetic
Question Parameters:
8 is 40 percent of what number
Generally the equation for the statement is mathematically given as
x*40%=8
Therefore
x*40%=8
x*0.4=8
x=20
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0.64 divided by 4 in standard algorithm
Answers
Answer:
Quotient = 0.16, Remainder = 0
Step-by-step explanation:
Standard algorithm of division is a step by step procedure to perform division.
In this question we have to divide 0.64 by 4, therefore, 0.64 is the dividend and 4 is the divisor.
Steps:
Zero times four is 0. Then we put decimal point in our quotient.
Continuing one times 4 is 4. We subtract 4 from 6 to have remaining value of 2. Then, we copy down 4. Thus, the remaining value now is 24.
Six times four is 24. Thus, the remaining value is zero.
Hence, we get the remainder of zero and quotient 0.16.
When 0.64 is divided by 4 using standard algorithm, we get 0.16.
What is Division?
Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Given is 0.64 divided by 4.
In order to divide 0.64 by 4, follow the given steps -
1 : 4 multiplied by 0 is equal to 0. Start writing the quotient as by writing 0 and decimal point after it.
2 : 4 multiplied by 1 is 4 and when 4 is subtracted from 6, we get 2. The quotient will now become 0.1 . Bring 4 down, next to 2.
3 : Now, 24 divided by 4 gives 6, this will leave remainder 0 and the final quotient will be 0.16
Therefore, 0.64 divided by 4 using standard algorithm, we get 0.16.
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The sum of three integers is 74. The first integer is twice the second and the third is six more than the second. What are the three integers
Answers
then the first = 2x
and the third integer is = 6+x
their sum = 74
x+2x+6+x = 74
4x +6 = 74
4x = 74-6 =68
x =68÷4
x = 17
then the first integer is 2×17 = 34
the third integer is 17+6 = 23
the integers are 17 , 23 and 34
A lab technician is diving a cell that has a diameter of 4.32 x 10^-4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell . Which is the diameter of the new cell ? A. 2.16 x 5^-2 B. 2.16 x 10-2 C.2.16 x 5-4 D.2.16x 10^-4
Answers
4.32 × 10^-4 /2
=2.16 × 10^-4
The answer is D.
The diameter of the new cell, which is exactly half the diameter of the original cell (4.32 x 10^-4 millimeters), is 2.16 x 10^-4 millimeters.
Explanation:The lab technician is dividing a cell with an original diameter of 4.32 x 10^-4 millimeters. The new cells' diameter is stated to be exactly one half of the original diameter. Therefore, to find the diameter of the new cell, simply take half of the original cell's diameter. This can be accomplished by dividing the numerical value of the diameter by 2, which would be 4.32/2 = 2.16. The exponent remains the same because the size (magnitude) of cell diameter is only halved, not the order magnitude. So the diameter of the new cell is 2.16 x 10^-4 millimeters.
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The baker used 3 1/2 cups of pastry flour for every 1 1/2 cups of wheat flour. How many pastry flour is used per cup of west flour?
Answers
The baker used 2 1/3 cups of pastry flour per cup of wheat flour.
Explanation:To find out how many cups of pastry flour are used per cup of wheat flour, we can set up a proportion based on the given information:
3 1/2 cups pastry flour / 1 1/2 cups wheat flour = x cups pastry flour / 1 cup wheat flour
We can solve for x by cross-multiplying:
(3 1/2)(1) = (1 1/2)(x)
7/2 = 3/2x
Now we can solve for x by dividing both sides of the equation by 3/2:
(7/2) ÷ (3/2) = x
7 ÷ 3 = x
x = 2 1/3
Therefore, the baker used 2 1/3 cups of pastry flour per cup of wheat flour.
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On a string of red and blue lights, the red lights blink everyb3 seconds, and the blue lights blink every 5 seconds. How many times will they blink at the same time in one minute?
Answers
what is the smallest number they both mutiply to
3*5=15
so every 15 seconds
so at 15, 30, 45, 60 seconds
so 4 times if you count the time exactly at 1 minute
The red and blue lights will blink at the same time 4 times in one minute.
Explanation:To determine how many times the red and blue lights will blink at the same time in one minute, we need to find the time at which both the 3-second cycle of the red light and the 5-second cycle of the blue light coincide. This is equivalent to finding the least common multiple (LCM) of 3 and 5. The LCM of 3 and 5 is 15, which means they will blink at the same time every 15 seconds.
Since there are 60 seconds in a minute, we need to find how many times 15 seconds fit into 60 seconds. 60 ÷ 15 = 4. Therefore, the red and blue lights will blink at the same time 4 times in one minute.
Answer: The red and blue lights will blink at the same time 4 times in one minute.
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shari’s class is making team pennants for an upcoming field day.they cut the pennants out of a large sheet of paper in the pattern shown below. the area of the whole pattern is 1600 cm2. they need to know the length of the pennant base how long is the base of each pennant
Answers
Answer:
10cm Base
Step-by-step explanation:
Actually the answer is 10 cm for the base.
First step is take 1600cm2 and divide it by 4 (or how many pendents you have) so it'll look like this
1600/4 =400cm2
Then you need to find the area of the Triangles.
Area of the Triangle=1/2xbase xheight
400=1/2xbx80
400=40xb
10=b
Answer: 10cm Base
Step-by-step explanation:
The heights of four boys measured 152.0 cm, 150.75 cm, 149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than josh, but shorter than Mark. Josh is the shortest. What is Mark's height
Answers
Bradley: 152.0 cm
???: 150.75 cm
???: 149.5 cm
Josh: 149.25 cm
Then, Calvin is taller than Josh, but he's shorter than Mark. There's only 2 spaces available left, so Calvin is 149.5 cm, and now there's only one slot left, and that means Mark is 150.75 cm.
So:
Bradley: 152.0 cm
Mark: 150.75 cm
Calvin: 149.5 cm
Josh: 149.25 cm
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Walmart is advertising a sale where all Lego sets are 15% off. Mrs. Snyder decides to purchase a Lego set that originally cost $39. What will Mrs. Snyder pay for the Lego set on sale?
Answers
5.85 is how much money she doesn't have to pay.
So she has to pay 33. 15