Answer:
a) k = 3 b) k = 4
Step-by-step explanation:
a) 3 x 7 = 21
b) 4 x 3 = 12
Answer:
1) k=3 (2) k=4
Step-by-step explanation:
[tex]21=k\cdot \:7\quad \\\mathrm{Switch\:sides}\\k\cdot \:7=21\\\frac{k\cdot \:7}{7}=\frac{21}{7}\\k=3\\2)\\12=k\cdot \:3\\Switch\:sides\\k\cdot \:3=12\\\frac{k\cdot \:3}{3}=\frac{12}{3}\\k=4[/tex]
Jack and Jill have gone into business together, Jill promotes and sells
tickets for Jack who performs interpretive dance. They charge $2.50 for
adults and $1.25 for children. One performance sells 12 more tickets to
adult than children. In total they make $183.75. How many of each ticket
did they sell? *
Answer:
Number of children's ticket sold =41Number of adult ticket sold=53Step-by-step explanation:
Adult's ticket price= $2.50
Children's ticket price= $1.25
Let the number of children's ticket sold =xOne performance sells 12 more tickets to adult than children.
Therefore, the number of adult ticket sold =x+12In total they make $183.75.
Therefore, we have that:
1.25x+2.50(x+12)=$183.75
We solve the resulting equation for x.
Open the brackets
1.25x+2.5x+30=183.75
Collect like terms
3.75x=183.75-30
3.75x=153.75
Divide both sides by 3.75
x=41
Therefore:
Number of children's ticket sold ,x=41Number of adult ticket sold, x+12 =41+12=53Evaluate:
12.16 x .13 =
Answer:
1.5808
Step-by-step explanation:
rounded
hundreds
1.58
tens
1.6
first
2
Which of the following are solutions to the inequality below? Select all that apply.
7j > 30
j = 2
j = 8
j = 1
j = 11
as an estimation 5 miles is 8km. convert 16km to miles
Answer:
if its 8 to 5 then 16 is 10
answer: 10 miles
Answer:
10 miles
Step-by-step explanation:
8 km = 5 miles
So, Let's use the unitary method
1 km = [tex]\frac{5}{8}[/tex] miles
Multiplying both sides by 16, we get
16 km = [tex]\frac{5}{8} * 16[/tex] miles
16 km = 5 × 2 miles
16 km = 10 miles
the table shows ordered pairs of the function y=16+0.5x. Which ordered pair could be the missing values represented by (x,y)?
Answer:
(2,17)
Step-by-step explanation:
This is because x is the input and y is the output. All you have to do is create a value for x the substitute it in the equation. Next solve for y 0.5 times 2 is 1, plus 16 is 17. Then just put your values in an order pair.
Answer:
8,20
Step-by-step explanation:
A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. Predict how much the group of 10 will pay.
Answer: Wheres the table
Step-by-step explanation:
Answer:
Step-by-step explanation:
40
In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?
Answer:
100 : 20 : 60 Making the total number of cookies 180
Step-by-step explanation:
Looking at the basic information given we know:
If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.
So, we have equations like this:
[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]
So, if we plug in 60 for butter cookies we will have something like this:
[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60
Solving:
[tex](5/3b) : (1/3b) : b[/tex]
[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]
Then add the amounts of together to get 180.
I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.
PlZ HELP ME W THIS!! (I SUCK AT MATH) MARKING BRAINEST!!!
Answer:
x = 19, x = 17
Step-by-step explanation:
(x-18) ^2 = 1
Take the square root of each side
sqrt((x-18) ^2) = ±sqrt(1)
x-18 = ±1
Add 18 to each side
x-18 +18 =18± 1
x = 18+1 x=18-1
x = 19, x = 17
The angle measurements in the diagram are represented by the following expressions
Answer:
Ahhh, vertical angles, thank goodness for these, hahaha!
According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.
Knowing this, you have to set each equation equal to each other in order to solke this one!
Let's do it!
6x + 18 = x + 93
STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.
5x + 18 = 93
STEP 2: Get X alone by subtracting 18 from both sides.
5x = 75
STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.
FINAL ANSWER: x = 15
NOTE: X is B.
Answer:
For whom ever has this question
B=108 x=15
If you borrow $500 for 6 years at an
annual interest rate of 7%, how
much will you pay altogether?
If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
Given that principal amount is $500 , years are 6 and rate of interest be 7%.
We are required to find the amount that we have to pay after 6 years if we borrow $500.
Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.
Sum after compounding is given as under:
S=P[tex](1+R)^{N}[/tex]
So we have to just put the values to find the money that we have to pay after 6 years.
S=500[tex](1+0.07)^{6}[/tex]
=500[tex](1.07)^{6}[/tex]
=500*1.5
=$750
Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
Learn more about compound interest at https://brainly.com/question/24924853
#SPJ1
How many 3’s are in 1/8?
Answer:
There are none
Step-by-step explanation:
Because 1/8 = 0.125
Just divide 1 over 8
The number of 3's in the given fraction number 1/8 is, Zero
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number, 1/8
The number of 3's = ?
⇒ 1/8 = 0.125
There is no number 3 present in the result of this division
Hence, the number of 3's is Zero
To know more about Fraction check:
https://brainly.com/question/8482939
#SPJ2
Tony rounded each of the numbers 1,600 and 1,483 to the nearest thousand. Which choice correctly compares the rounded numbers
Answer:
Step-by-step explanation:
if the number is below 5, go down
if the number is 5 or above, go up
1,600 is closer to 2,000
1,483 is closer to 1,000
Then, 2000 > 1000
Answer:
Brainliest!
Step-by-step explanation:
1600 rounded is 2000
1483 rounded is 1000
What’s the answer ??
Answer:
-5^x-3x-6
Step-by-step explanation:
(-5^x - 4 + g(x) ) (x)
(-5^x - 4 - 3x -2) simplified -5^x-3x-6
Answer:
-5^x -3x -6 = A[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]
[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]
[tex] - {5}^{x} - 3x - 6[/tex]
Please help me with my question!!
Answer:
B
Step-by-step explanation:
To find the answer we add to the fractions
5/6 + 2/3 = 5/6 + 4/6 = 9/6 = 3/2 = 1 1/2
Answer:
1 1/2
Step-by-step explanation:
5/6 + 2/3
Get a common denominator
5/6 + 2/3 *2/2
5/6 + 4/6
9/6
Rewriting as a mixed number
1 3/6
1 1/2
-4/5 x 6/7
dont look it up bc they only give the big answers
Answer:
[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]
Step-by-step explanation:
It's just like regular multiplication:
[tex]\frac{Numerator}{Denominator}[/tex]
Numerator:
-4 × 6 = -24
Denominator:
-5 × 7 = -35
M(angle)1 =. Degrees
Answer:
Angle [tex]m\angle 1 = 35^o[/tex]
Step-by-step explanation:
Our goal is to find appropriate symmetries within the given diagram, so we can use the property of the addition of internal angles of a triangle that render [tex]180^o[/tex].
So we start by drawing a line that goes through the center of the circle and also through the vertex of angle [tex]m\angle 1[/tex]. Please see the attached image to follow the procedure. In the image, the line is a fine black line that crosses the circle completely.
Now we draw the four radii that will define clearly the central angles of [tex]100^o[/tex] and [tex]30^o[/tex] that come as information.
Then we set our efforts to analyze the two triangles (one marked with green borders, and the other one marked with orange borders. Notice that the angle on the further right for the triangle with orange borders is in fact half of the angle [tex]m\angle 1[/tex] that we need to find, so we will work our way to determine the size of it and then multiply it by two.
We need to start though with the triangle with green borders because it has more information that we can derive.
Notice that this green triangle has a central angle equal to [tex]115^o[/tex], because it has to measure the same as 180 degrees minus half of the 100 degrees angle and minus half of the 30 degree angle in order to add to form the perfect plane angle of the circle's diameter:
[tex]180^o-50^o-15^o=115^o[/tex]
Now, notice as well that this green triangle is an isosceles triangle (has two equal sides (both equal to the radius of the circle), and therefore the angles opposite to them must be equal. We can find the measure of either such angles by using the property of additions of internal angles of a triangle to render [tex]180^o[/tex], subtracting from it the 115 degree angle we know, and dividing the result by two:
[tex]180^o-115^o=65^o[/tex]
half of this is [tex]32.5^o[/tex]
Now we use this angle, to find its supplementary angle, which would be the angle on top of the orange triangle:
[tex]180^o-32.5^o=147.5^o[/tex]
Now all we need is to use the property of addition of internal angles for the orange triangle (of which we currently know a 15 degree angle and a 147.5 degree angle) to find what half of angle [tex]m\angle 1[/tex] is:
[tex]180^o-147.5^o-15^o=17.5^o[/tex]
then angle [tex]m\angle 1[/tex] is twice this value: [tex]m\angle 1 = 35^o[/tex]
Extra point hereWhich metric unit would be best to measure the diameter of a pencil?
Answer:
The millimeter.
Step-by-step explanation:
The best choice here is the millimeter (mm).
What is the probability of getting an odd number 1-10?
Answer:
1/2 - Half of the numbers are odd
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $ j $jdollar sign, j fare among the 3 33 of them. Angela also paid a $ 5 $5dollar sign, 5 tip.
Answer: $J/3 + $5
Step-by-step explanation:
Here is the complete question:
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of them. Angela also paid a $5 tip. How much did Angela pay in total?
Write your answer as an expression.
Answer:
From the question, we are told that Angela shared a cab with her friends and when they arrived at their destination, they shared equally the $j fare among the 3 of them while Angela also paid a $5 tip.
The total number of friends are =3
The amount of fare = $ J
The fare is equally divided among the friends, therefore each friend will pay: $J/3
Angela paid $5 additional as a tip, therefore, her share will be: J/3 + 5
Therefore, Angela will pay $J/3 + $5
Find equation of a line passing through the pair of points. Write the equation in the form Ax+By=C (-2,2)and(-3,-9)
Answer:
11x - y = - 24Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line first find the slope
Slope of the line using points
(-2,2)and(-3,-9) is
[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]
Then use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) can be any of the points
Equation of the line using point (-2,2) and slope 11 is
y - 2 = 11 ( x + 2)
y - 2 = 11x + 22
11x - y = - 2 - 22
We have the final answer as
11x - y = - 24Hope this helps you
Can i get help please??…………
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
Answer:
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
one day sally won the lottery she won 654321 dollars and her brother mark won 76543 dollars how much money is there together?
Answer:
730864
Step-by-step explanation:
654321 +76543=730864
Which expressions have a positive product? *
–(5)(–0.2)(–1.9)(9)
–(2.14)(1.6)(14)
(6.3)(–8.7)(0.7)
(8.5)(–0.4)(–2.7)
Answer:
The fourth choice is the correct one.
Step-by-step explanation:
If the count of negative signs is even, the product is even (positive).
This does not apply to the first choice; this expression is odd.
Same for the second choice.
Same for the third choice. The expression is odd.
The fourth choice is POSITIVE because there are an even number (2) of negative signs.
Find the value of x (3x-9) (x + 7)
Answer:
x=-3 and x=-7
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
i just took the test, its 23
I would really appreciate if someone help me I need help please help me thank you it’s geometry
Answer:
< 3 and < 5
Step-by-step explanation:
Others are not
Decide whether the equation is a function, not a function, linear but not a function, or a linear function. Choose the best option.
8x-3y=-2
а
b
Function
Not a Function
Linear But Not a Linear Function
Linear Function
С
d
Answer:
Linear Function
Step-by-step explanation:
8x-3y = -2
-3y = 8x-2
3y = -8x+2
y = [tex]\frac{-8x+2}{3}[/tex]
y = [tex]-\frac{8}{3}x+\frac{2}{3}[/tex]
Linear Function
which graph shows the line y=-3x+1? graph a graph b
The graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
How to determine the graph?The equation is given as:
y = - 3x + 1
The above equation is a linear function
A linear function is represented as:
y = mx + c
Where m represents the slope and c represents the y-intercept
This means that the graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
Read more about linear equations at:
https://brainly.com/question/4025726
Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? 2 plus-or-minus StartRoot 10 EndRoot i 1 plus-or-minus StartRoot 10 EndRoot i StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction 1 plus-or-minus StartRoot 5 EndRoot i
Answer:
[tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
Step-by-step explanation:
The equation given is:
[tex]2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]
From the question:
a = 2, b = -4, c = 7
Therefore:
[tex]x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\[/tex]
=> [tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
The solution of given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Given the quadratic equation:
[tex]2x^2 = 4x -7[/tex]
Formula for finding roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] is given by:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[/tex]
Here, we get a = 2, b = -4, and c = 7.
Thus, the roots can be found as:
[tex]x = \dfrac{4 \pm \sqrt{16 - 56}}{4} \\\\x = \dfrac{4 \pm \sqrt{-40}}{4} \\\\x = \dfrac{4 \pm 2i\sqrt{10}}{4} \\\\\\x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Thus, the solution of the given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex].
Learn here more:
https://brainly.com/question/4366363
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Answer:
The sum is a binomial with a degree of 6
Step-by-step explanation:
we have
(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)
Group terms that contain the same variable
(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y
0-2xy^{5}+3x^{4}y
-2xy^{5}+3x^{4}y
The sum is a binomial ( two terms) with a degree of 6
-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)
Answer:
D. The sum is a binomial with a degree of 6
Step-by-step explanation:
1. A U.S. student studied abroad in Zürich, Switzerland. When he arrived in Zürich in January 2005, he exchanged $20,000 for Swiss francs when the exchange rate of USD/CHF (U.S. dollars to Swiss francs) was 1.15. When he left Zürich in January 2006, the exchange rate was 1.30. If he had started his year abroad in January 2006 instead of January 2005, would he have gotten more or fewer francs? What is the exact difference?
Answer:
Yes
With an extra 3000CHF
Step-by-step explanation:
In year 2005, the exchange rate was 1$ = 1.15CHF
The student came in with $20,000.
The amount he had in CHF(swiss franc) = ?
$1 = 1.15C
$20,000 = x CHF
X = (20000 × 1.15) / 1
X = 23,000CHF
When he came to Zürich in 2005, he has 23,000 swiss franc.
But the exchange rates changed in 2006 to C1.30 against the dollar.
$1 = 1.30CHF
$20,000 = xCHF
X = 26,000CHF
In 2006, he would've had 26,000CHF.
The difference between what he would've had in 2006 against 2005 is
26,000CHF - 23,000CHF = 3000CHF
He would've had an extra 3000CHF if he came in the year 2006.