Answer:
(5,-6) is a solution
Step-by-step explanation:
Given
[tex]6x + 3y = 12[/tex]
[tex]4x + y = 14[/tex]
Required
Tell whether (5,-6) is a solution
In (5,-6): x = 5 and y = -6.
Substitute these values in the given equations
[tex]6x + 3y = 12[/tex] becomes
[tex]6 * 5 + 3 * -6 = 12[/tex]
[tex]30-18 = 12[/tex]
[tex]12 = 12[/tex]
[tex]4x + y = 14[/tex] becomes
[tex]4 * 5 - 6 = 14[/tex]
[tex]20 - 6 = 14[/tex]
[tex]14 = 14[/tex]
Because both solutions are true, then (5,-6) is a solution
how long would the toy car be?...
Answer:
6.37 cm.
Step-by-step explanation:
Since Hot Wheels uses a scale ratio of 1:64 (1 cm to scale = 64 cm actual) for their toys, knowing that the actual length of a VW Beetle is 160.6 inches, to determine the length of the toy car is you must perform the following calculation:
1 inch = 2.54 cm
(160.6 x 2.54) / 64 = X
407.924 / 64 = X
6.373 = X
Therefore, the size of the toy car will be 6.37 cm long.
Express Tan x as function of sin only
Answer:
Tan x = sin x / √[1 - sin²θ]
Step-by-step explanation:
We know that;
Tanx = Sinx / cosx
Squaring both side
Tan²x = Sin²x / cos²x
[cos²θ = 1 - sin²θ]
So,
Tan²x = Sin²x / [1 - sin²θ]
Taking root both side
Tan x = sin x / √[1 - sin²θ]
[10 • 32 - 3] + 10 I need help nowww!
Answer:
Its 327!
Step-by-step explanation:
[10x32-3]+10 10x32=320 320-3=317 317+10=327
Answer:
327
Step-by-step explanation:
PEMDAS - parenthesis exponent multiply divide add subtract, the order to solve.
solve the parenthesis first, inside the parenthesis do the multiplication 1st so 10 times 32 which = 320. then subtract 3 = 317. then, lastly, add the 10 to get 327.
find the following quotient. when appropriate, round your answer to the nearest hundredth Divide 0 by 12
Answer: 0/12 would be 0; 12/0 would be undefined
Step-by-step explanation: 0/12 is 0 because properties of zero; 12/0 is undefined because of properties of zero.
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answer:
greater than or equal to
Answer:
the above answer is correct, it is greater than or equal to
Step-by-step explanation:
Judith made 4 stacks of wooden blocks. The first stack was 9 blocks tall. The second stack was 5 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. How many blocks did Judith use in all?
Answer: the answer is 42
65% of what number is 39? 30% of what number is 15?
Please answer both questions.
Answer:
65% of what number is 39=25.35
30% of what number 15=4.5
Step-by-step explanation:
Math work questions help
Use synthetic substitution to find f(3) and f(-4) for f(x)= x^4 - 8x- 11.
Answer:
f(3)=56, f(-4)=277
Step-by-step explanation:
f(x)=x^4-8x-11
f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56
f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277
Answer:
227
Step-by-step explanation:
In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person
Classify the following triangle. Check all that apply.
98
419
O A. isosceles
I B. scalene
C. obtuse
U
D. equilateral
I E. acute
F. right
Answer:
obtuse and isosceles
angle greater than 90° and 2 equal sides
Pleaaase help this is due today
Answer:
umm look it up
Step-by-step explanation:
Subtract: (3x + 5y - 4) -(4x + 11)
Find the value of X if H is the midpoint of JG, GJ equals 4X -6 and GH equals 27.
Answer:
27
Step-by-step explanation:
X 1. Solve the equation
Atun
(x + 2) = 20
Answer:
hi
Step-by-step explanation:
Answer:
18 ?
Step-by-step explanation: What is Atun ?
Ashley saves $32 from her weekly paycheck for her college education. This is 1/5 of her weekly salary. Write an equation to find out how much does she earn each week?
Answer: 32 divided by 1/5
Step-by-step explanation:
.2 = 1/5
32/.2 = 160
160 x .2 = 32
calcular la altura que podemos alcanzar una escalera de 3 metros apoyada sobre ma pared si la parte inferior la situamos a .07 metros de esta.
The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another. how to analyze and what the process you will use Please express to the nearest whole number how many of the patients on average per day do not have insurance, and thus, pay cash price for their visits.
Answer:
5.6 patients
Step-by-step explanation:
Given
[tex]Average = 22.4[/tex]
[tex]Insurance = \frac{3}{4}[/tex]
Required
How many do not have insurance (average)
First, calculatet he fraction of those without insurance (x).
[tex]x = 1 - Insurance[/tex]
Substitute value for Insurance
[tex]x = 1 - \frac{3}{4}[/tex]
[tex]x = \frac{1}{4}[/tex]
The number of visits is:
[tex]Visits =x * Average[/tex]
[tex]Visits = \frac{1}{4} * 22.4[/tex]
[tex]Visits = 5.6[/tex]
A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost per litre of diesel if he spends rs 4000 each year?
Answer:
Average cost per litre of diesel = rs 8.00
Step-by-step explanation:
Amount spent on diesel each year = rs 4000
Price of a litre of diesel in the first year = rs 7.50
Price of a litre of diesel in the second year = rs 8.00
Price of a litre of diesel in the third year = rs 8.50
Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]
where n is the number of years.
Average cost per litre of diesel = [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]
= [tex]\frac{24}{3}[/tex]
= 8
Average cost per litre of diesel is rs 8.00
So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.
simplify 12/18 into an equivalent fraction
Answer:
2/3
Step-by-step explanation:
1. -2- 3x + 2x + 5x + 4
Does Someone know how to do the work for this question?! Need ASAP
Answer:
5x^3-x+2
Step-by-step explanation:
We rearrange the formula grouping x together but preserving subtraction and start numbers from left.
- 2 -3x + 2x + 5x^3 +4
= -2+4
= 2
-3x +2x = -1x = -x
= 5x^3 +2 - x
= 5x^3 -x + 2
We cannot distribute unless we had the given values for x
if x = 1 and we were told this, then the equation would be set to zero +2 as you would be left with x^3 = 1 and x = 1 and 1-1 = 0
Then you would just need to apply +2 = 2.
But in standard form we leave the amounts 5x^3 -x +2
A painter is placing a ladder to reach the third story window, which is 34 feet above the ground and
makes an angle with the ground of 70°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned ______
feet out from the building.
Answer:
34 times 70
Step-by-step explanation:
Can anyone tell me if this is right? Multiple choice!
Answer:
yes its correct
Step-by-step explanation:
The measure of this angle is 151. What is the measure of its supplementary angle
Answer:
180-151 = 29 degrees
this is the right answer
The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?
The height of the building is ft
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
the answer would be 13.75 feet
Step-by-step explanation:
The computation of the tall is the building as follows:
Given that
Base is 6 foot
And, the hypotheses is 15 feet
Here we use the Pythagoras theorem
= √15^2 - √6^2
= √225 - √36
= √189
= 13.75 feet
Hence the answer would be 13.75 feet
Alex has 6,000 grams of jelly beans. He is filling boxes that each hold 2 kilograms of jelly beans and selling the boxes for $9.95. How much money will he make from selling the boxes?
Answer:
29.85
Step-by-step explanation:
since a kilogram i 1000 grams and he is putting 2 kilos in each box he can only fill 3 boxes.
Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)
Answer:
3(4a−5b+2)
Step-by-step explanation:
The answer should have originally been 3(4a-5b+2)
3(4a+5b+3)= 12a+15b+9 which is incorrect.
find the slope of the line passing through the points (7,-6) and (-7,-6)
Answer:
1.1667
Step-by-step explanation:
Slope = change in y / change in x
Slope = (-6 - -6) / (-7 - 7)
Slope = 0/-14
Because the change in y is 0 the slope would be 0
Slope = 0
6x-1 + 4X+21 = 50 solve for x
Answer:
x = 3
Step-by-step explanation:
First you want to add the numbers.
6x - 1 + 4x + 21 = 50
6x + 20 + 4x = 50
Then you want to combine like terms
6x + 20 + 4x = 50
10x + 20 = 50
Then subtract 20 from BOTH sides of the equation
10x + 20 = 50
10x + 20 - 20 = 50 - 20
After, simplify.
10x = 30
Then divide BOTH sides of the equation by the same term
10x / 10 = 30 / 10
Simplify ..
x = 3
And your answer is going to be x = 3! Hope this helps! :)
Two rectangles are similar the sides of the larger rectangle have lengths of 24 and 30 inches the perimeter of the smaller rectangle is 27 inches find the length of the shorter side of the smaller rectangle
Answer:
small rectangle sides are 7.5 and 6
Step-by-step explanation:
Large rectangle perimeter=30+30+24+24=108
Small rectangle perimeter=27
27 is one fourth of 108 so:
small rectangle sides are 30/4 and 24/4
small rectangle sides are 7.5 and 6
Answer:
i have no clue
Step-by-step explanation:
it is really hard and i need help with it myself