Answer:
a+k ≤ 35
8a+4k ≤ 190
Some possible combinations are 10 adults and 20 kids
5 adults and 29 kids
Step-by-step explanation:
Let k= number of kids
a = number of adults
a+k ≤ 35 since you can have at most 35
8a + 4k ≤ 190 since the most you can spend is 190
Some possible combinations are 10 adults and 20 kids
(10+30 < 35 and 8*10+4*20 = 80+80 =160< 190)
Another possible combination
5 adults and 29 kids
(5+29 < 35 and 5*10 + 4*29 =50+116=166)
pls help me this is due in 30 minnutes
Answer:
The surface area is 88ft.
Just to let you know just in case if you have the same question is that the formula of finding the surface area of a rectangular prism is A = 2(wl + hl + hw)
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answer:
Triangle RSP is similar to triangle ZXY
Step-by-step explanation:
to be similar triangles the order of the angles must match.
Angle R is 41° so is angle Z
angle S is 54° so is angle X
angle P is 85° so is angle Y
What is the least number of apples that can be shared equally among either 6, 10 or 15 children?
Answer:
If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this
6 children 6 apples
10 children 10 apples
15 children 15 apples
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?
A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00
Answer:
The correct option is D) $1,248.00
Step-by-step explanation:
First calculate $24 at 36 hours
24 * 36 = $864
then
calculate $48 at 8 hours because of double time
48 * 8 = $384
then
add them both up
864 + 384 = $1248
Paul rolls a fair dice 174 times.
How many times would Paul expect to roll an odd number?
Answer:
87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times
Step-by-step explanation: hope this helps
Answer:
87 times
50% of the time
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6 numbers
1, 3, 5 are odd
3/6 in one roll
3/6 × 174 = 87
Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =[tex]\sqrt{9[/tex]
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
Libby wants to buy 290 raspberry yogurts. They are sold in packs of 4. How many packs does she need to buy?
Answer:
73 packs
Step-by-step explanation:
Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.
290/4
= 72.5
Since we need a whole number answer, round this up:
72.5
= 73
So, Libby will need to buy 73 packs
What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuously to triple?
Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that [tex]r = 0.05[/tex], and thus:
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = A(0)(1+0.05)^t[/tex]
[tex]A(t) = A(0)(1.05)^t[/tex]
Time for the balance to triple?
This is t for which [tex]A(t) = 3A(0)[/tex]. So
[tex]A(t) = A(0)(1.05)^t[/tex]
[tex]3A(0) = A(0)(1.05)^t[/tex]
[tex](1.05)^t = 3[/tex]
[tex]\log{(1.05)^t} = \log{3}[/tex]
[tex]t\log{1.05} = \log{3}[/tex]
[tex]t = \frac{\log{3}}{\log{1.05}}[/tex]
[tex]t = 22.52[/tex]
It takes 22.52 years for the balance to triple in value.
Please help the question is in the picture.
Answer:
[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]
Step-by-step explanation:
The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]
Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.
What we know:
[tex]\theta[/tex] of [tex]300^{\circ}[/tex] [tex]r[/tex] of [tex]x[/tex]Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]
Why do some functions not have x intercepts?
A ratio of peanuts to raisins is 5 to 4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag
Answer:
160 raisins
Step-by-step explanation:
First, the ratio of peanuts to raisins will be 5:4.
Next, to fine the number to multiply the 4 by, you will divide 200 by 5.
You divide the 200 by 5 because that is how many peanuts there are in the bag and the ratio is 5:4 as stated above.
So 200 divided by 5 is 40. You will take that 40 and then multiply it by 4 to get 160.
So the end result is there are 160 raisins in the bag, and the final ratio would be 200:160
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
mathhh raduiss please help
Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
Which of the following is a composite number?
Ο Α. Ο
O B. 19
O C. 63
O D. 1
Answer: The letter C
Option C is correct, 63 is the composite number.
What is Number system?A number system is defined as a system of writing to express numbers.
Composite numbers are numbers that have more than two factors.
0 is not a composite number.
19 is a prime number because it is divided by itself so it is not a composite number.
63 is a composite number because it has more than two factors.
The factors of 63 are 1, 7 , 9
1 is not a prime number as it does not have factors.
Hence, Option C is correct, 63 is the composite number.
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A baker uses 20
cups of flour to make 4 loves of bread. Use this information for the picture below!
Answer:
60 cups
Step-by-step explanation:
We can use ratios to solve
20 cups x cups
--------------- = -------------------
4 loaves 12 loaves
20 * 12 = 4 *x
240 = 4x
Divide by 4
240/4 = 4x/4
60 =x
60 cups
Find the measure of the arc
Answer:
104, 52 degrees
Step-by-step explanation:
A whole circle is 360 degrees.
So ark YX = 360-110-146=104
Z=1/2*YX=52
need the answer asap i will give you brainliest
Answer:
d
Step-by-step explanation:
Need help with number one please
Answer:
answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.
In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?
The required triangle is possible, the value of the tangent of ∠I is 1.33.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.
In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.
Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:
HI² = HJ² + IJ²
5² = 4² + 3²
25 = 16 + 9
tan(∠I) = opposite/adjacent = HJ/ JI = 4/3
Rounding to the nearest hundredth, we get:
tan(∠I) ≈ 1.33
Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.
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Which best describes the incenter of a triangle?
• A. The point where the three altitudes of the triangle intersect
•
B. The point where the perpendicular bisectors of the three sides of
the triangle intersect
•
C. The point where the three medians of the triangle intersect
•
D. The point where the three angle bisectors of the triangle intersect
SUBMIT
Answer:
The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.
Step-by-step explanation:
follow me
Answer:
D. The point where the three angle bisectors of the triangle intersect
Step-by-step explanation:
Solve the rational equation by multiplying both sides by the LCD. Check your results for extraneous
solutions.
3
2 + 5x + 6
2-1
x + 2
7
x + 3
is a solution.
x=
0
is an extraneous solution.
RETRY
Intro
Answer:
x = 7 is a solution
x = -2 is an extraneous solution
^ CORRECT ANSWER
Step-by-step explanation:
The rational equation is solved and the solutions are 7 and the extraneous solution is x = -2
What is rational function equation?A rational equation can be defined as an equation that involves at least one rational expression
A rational function is a function of the form f( x )=P( x ) / Q( x ) ,
f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.
A rational function f ( x )=P( x ) / Q( x )
f( x ) = P( x ) / Q( x ) may have a vertical asymptote
The domain is the set of all real numbers for which Q( x ) ≠ 0
Given data ,
Let the rational equation be represented as A
Now , the value of A is
( 3 / ( x²+5x+6 ) ) + ( ( x-1) / (x+2) ) = 7 / (x+3) be equation (1)
On simplifying , we get
A rational function is a function of the form f( x )=P( x ) / Q( x ) ,
f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.
So , multiplying both sides by ( x²+5x+6 ) , we get
3 + x² + 2x - 3 = 7x + 14 be equation (2)
On further simplification , we get
x² - 5x - 14 = 0
On factorizing the equation , we get
x² - 7x + 2x - 14 = 0
Taking the common factors , we get
x ( x - 7 ) + 2 ( x - 7 ) = 0
( x + 2 ) ( x - 7 ) = 0
So , the two solutions of x are x = 7 and x = -2
Hence , the solutions of rational equation are x = 7 and x = -2
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Determine the relationship between the two triangles and whether or not they can be
proven to be congruent.
please help! ten points! thank you
I need help on this problem can anyone help me on this
Answer:
Step-by-step explanation:
Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get
[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:
[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:
x + 4 = ±3
The 2 solutions are
x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.
Astronauts use a tool in space that weighs 5 ounces on Earth. How many grams does the tool weigh? Round your answer to the nearest hundredth.
You need to convert 5 oz into grams.
1 oz = 28.3495 g
5 oz * 28.3495 g/oz = 141.75 g
Answer: 141.75 g
✨HELP ASAP *Please*✨Theese figures are congruent. What series of transformations moves pentagon ABCDE onto pentagon A'B'C'D'E? Note: Rotations are clockwise Reflections are over the x-ory-axis.
A Rotation, translation
B. Reflection, translation
C. Reflection, rotation
D. Transation ansition
Answer: C
Brainliest Me
A square pyramid has a base with a side length
of 8 feet and lateral faces with heights of 6 feet.
What is the lateral area of the pyramid?
Answer:
160.
Step-by-step explanation:
The area of the base is 64 since each side is 8, 8x8 is equal to 64. Then you have the lateral faces with a length of 8, and a height of 6, which is 48, but since they are triangles, you divide by 2, finally add 24+24+24+24+64 and your final answer is 160.
Pedro spins the pointer of a spinner 10 times. The pointer lands on the color blue 7 times. Write a fraction to represent the part of Pedro's spins that were blue?
Answer:
7/10
Step-by-step explanation:
Out of the ten spins seven landed on blue.
I hope this helps :)
Answer:
The fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].
Step-by-step explanation:
In a fraction, there is a numerator and a denominator. In order to get a fraction that would represent the part of Pedro's spins that were blue, you need to put the number of times the pointer landed on blue as a numerator and the total number of spins as the denominator. Therefore a fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].