Answer:
4a ) Difference ⇒ $ 63.24,
4b ) 4 children
Step-by-step explanation:
4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;
y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,
y = 42.16 + 85.15 ⇒ Combine like terms,
y = 127.31
If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;
y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,
y = 105.4 + 85.15 ⇒ Combine like terms,
y = 190.55
Difference; 190.55 - 127.31 = 63.24,
Solution; Difference ⇒ $ 63.24
4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;
169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,
21.08x = 84.32 ⇒ Divide either side 21.08,
x = 4 children
Solution; 4 children
Please answer CORRECTLY !!!! Will mark brainliest !!!!!!!!
Answer:
Step-by-step explanation:
4u + 8v = -3u + 2v
7u + 8v = 2v
7u = -6v
h(u) = -6v/7
Hey guys I really need help with this one exercise soo maybe can someone plzz help for 20 points? Write also the whole detail of your answer plz!
Math Problem: A photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What are the new dimensions after it has been reduced 75%?
Answer:
3 by 4
Step-by-step explanation:
12 reduced by 75% is 3
16 reduced by 75% is 4
Answer:
100%-75% is equal to 25%
So 12 times 25% is 3
And 16*25% is 4
The new dimensions are 3 by 4
Step-by-step explanation:
1. Triangle ABC is dilated by a scale factor of 1.5 to create triangle A'B'C'. Which of
the following it not a true statement?
Answer:
d
Step-by-step explanation:
because it gets bigger so they are not going to have the same measures or lenghts.
The statement that is not true about the dilation is (c) the segment AB is congruent to the segment A'B
How to determine the false statement?When a shape is dilated, the orientation of the shapes is preserved but the side lengths of the shapes are not congruent
This means that the side lengths of triangle A'B'C are not congruent to triangle A'B'C
Hence, the statement that is not true about the dilation is (c) the segment AB is congruent to the segment A'B
Read more about dilation at:
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Find an ordered pair (x, y) that is a solution to the equat
4x - y = 7
Answer:
(0,-7),(1,-3),(2,1)
Step-by-step explanation:
What is the range of f(x) = 4^x?
A. All positive real numbers
B. All real numbers greater than 4
c. All real numbers
D. All real numbers greater than or equal to 4
Answer: A because it goes from (0,infinity) so all positive real numbers
BRAINLIEST!!!
2. Use the unit circle to find the value of cot (–90°).
Answer:
cot(- 90)° = 0
Step-by-step explanation:
Using the identity
cot x = [tex]\frac{cosx}{sinx}[/tex] , then
cot(- 90)° = [tex]\frac{cos(-90)}{sin(-90)}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
. After reading to a kindergarten class at the library, Tobey gives out stickers. He has 9
zoo animal stickers and 16 scratch-n-sniff stickers. If Tobey gives the stickers out at
random, what is the probability that the first child gets a scratch-n-sniff sticker and
the second child gets a zoo animal sticker?
Answer:
If Tobey gives the stickers out at random, what is the probability that the first child gets a scratch-n-sniff sticker and the second child gets a zoo animal sticker?
P(zoo 2nd | scratch 1st) = (9/25)(16/24) = (9/25)(2/3) = 6/25
A student translated the phrase below into an algebraic expression, and then evaluated if for y = 24. Is the studer
work correct?
The difference of a number and 6; evaluate when y = 24:
24
The expression is \. For y = 24,
Y
6
= 4
6
6
ООО
No, the student wrote a division expression instead of a subtraction expression.
No, the student simplified the fraction incorrectly.
No, the student made an error when substituting.
Yes, the student's work is correct.
Answer:No, the student wrote a division expression instead of a subtraction expression
Step-by-step explanation:
Answer:no, a student wrote a division expression instead of a subtraction expression
Step-by-step explanation:i got it right on edegunity
Justin used 42 centimeters of tape to wrap 14 presents. How many presents did Justin wrap if
he used 45 centimeters of tape? Solve using unit rates.
__ presents
Answer:
15 presents
Step-by-step explanation:
42 cm / 14 presents = 3 cm / 1
3cm / 1 presents = 45 / 15
Answer:
15 presents
Step-by-step explanation:
Since we are using unit rate, we have to find out how many centimeters he uses for 1 present. Therefore 42÷14=3 So he uses 3 centimeters of paper for 1 present. Since he used 45 centimeters of paper we divide that by 3 to see how many presents is in 45 centimeters. When dividing the answer is 15. Therefore he wraps 15 presents
john wants to build a slide for his daughter's tree house. the slide is made from aluminum material that is cut from a roll. The aluminum materials is sold by the foot. The tree house is 6 feet off the ground and he wants the slide to be built at a 60 angle . triangle PQR is a right triangle.
Will reward brainliest please show all work
Answer:7 ft
Step-by-step explanation:
Given
Height of tree house is [tex]6\ ft[/tex]
inclination of slide [tex]\theta =60^{\circ}[/tex]
In [tex]\triangle PQR[/tex] we can write
[tex]\sin \theta =\frac{PQ}{PR}[/tex]
[tex]\sin 60=\frac{6}{PR}[/tex]
[tex]PR=\frac{6}{\sin 60^{\circ}}[/tex]
[tex]PR=\frac{6\times 2}{\sqrt{3}}[/tex]
[tex]PR=6.928\approx 7\ ft[/tex]
So, [tex]7 \ft[/tex] of aluminium is required for slide
6(3p – 1) = 84 can you help me with this question please? i am struggling to explain this to my son. thanks in advance.
On photos i showed 2 ways of possible solutions
Answer: p=5
Step-by-step explanation:
6(3p-1)=84
You can now do it two ways. This is the first way:
Divide by 6 so the equation now writes:
3p-1= 14
Then add the one onto the other side.
3p=15
Then divide 15 by 3
P=5
The other way is to expand the brackets first.
18p-6=84
Then add the 6 onto the other side.
18p=90
Then divide 90 by 18.
P=5
This is a bit more complex so I recommend the first way. Hope you can now explain to your son. Have an amazing day!
Solve each equation in the interval from 0 to 2pi. Round your answer to the nearest hundredth.
a. 3cos 4theta= -2
b. cos(pi theta)= -0.6
I think the answer is b. cos(pi theta)= -0.6
The requried solution of the equations in the interval form are a. (-0.575, 0.575) and b. (0.71, 3.43).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
a.
We can solve for theta by dividing both sides by 3, then taking the inverse cosine of both sides. Remember that there will be two solutions in the given interval because cosine has a period of 2π.
3cos(4Ф) = -2
cos(4Ф) = -2/3
4Ф = ±cos⁻¹(-2/3)
cos⁻¹(-2/3) ≈ 2.300
4Ф = ±2.300
Ф = ±0.575
Similarly,
b.
For cos(πФ)= -0.6
Ф= 0.71, 3.43
Thus, the requried solution of the equations in the interval form are a. (-0.575, 0.575) and b. (0.71, 3.43).
Learn more about trigonometry equations here:
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Find the value of x?
23.5°
43°
47°
86°
Answer:
x = 23.5°
Step-by-step explanation:
The 4 angles 90, 43, x , x lie on a straight angle, thus
90 + 43 + x + x = 180, that is
133 + 2x = 180 ( subtract 133 from both sides )
2x = 47 ( divide both sides by 2 )
x = 23.5°
PLEASE HELP
Find the diameter of the object.
Answer:
d the diameter is 4 inches.
Step-by-step explanation:
d=2r=2×2=4
f(x) = x^2. What is g(x)?
Answer:
g(x)=x²/4
Step-by-step explanation:
g(x)=ax²+bx+c
g(0)=0 => c=0
g(-2)=1 => 4a-2b=1;
g(2)=1 => 4a+2b=1 (+)
8a=2 => a=1/4
4*1/4+2b=1=> b=0
=> g(x)=x²/4
GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh
Answer:
is D i had this on my math test
Step-by-step explanation:
Answer:
the area is 20 units
Step-by-step explanation:
if you plot the points then draw the rectangle then you count the amount on each side and multiply 4 times 5
An angle measures 120 degrees. Describe how to use special right triangles and the unit circle as tools to calculate the sine and cosine of this angle.
Answer:
We know that, for a right triangle:
Cos(A) = (adjacent cathetus)/hipotenuse
sin(A) = (opposite cathetus)/Hipotenuse.
If we are in a right triangle inside the unit circle, we have that hypotenuse = 1.
Now, when you draw the unit circle, now from the center of the axis you must draw a straigth line (that forms an angle of 120° with the x-axis), and in the point where it cuts the unit circle we do 2 things.
from this point, you can draw a parallel line to the y-axis, the point where this line touches the x-axis is the value of the cosine.
Now you draw a line that is parallel to the x-axis (remember that the line must pass trough the point of before), the point where this line cuts the y-axis is the value of the sine
You should get:
sin(120°) = 0.87
cos(120°) = -0.5
Solve the following problem 2x + 4 + 5x = 8x -6
Please help
Plz help. I am very stuck. Its due today and I have none to ask help to.
Answer:
Hi there!
The correct answers for the question are:
For 45 mph, the trip time is: 9.78
For 55 mph, the trip time is: 8.36
For 65 mph, the trip time is: 7.38
Step-by-step explanation:
The values given to you represent the variable "S" so therefore you just plug in the values into the equation and you get "t"
Answer:
For 45 mph the trip time is 9.78 For 55 mph the trip time is 8.36 For 65 mph the trip time is 7.38
Step-by-step explanation:
Make Me brainliest
write (x^2)^4 without exponents
Answer: x8 i really don't know if it is correct tell me plz
Step-by-step explanation:
The expression (x²)⁴ without exponents can be written as x × x × x × x × x × x × x × x.
The given expression is (x²)⁴.
It is known that the power rule of exponents states that:
(xᵃ)ᵇ = xᵃᵇ
Here, a = 2 and b = 4.
So using the power rule,
(x²)⁴ = x²⁽⁴⁾
= x⁸
Now, it is known that exponents are actually the multiplication of the number with the same number again and again.
Here x is multiplied by itself 8 times.
So the expression can be written as:
x × x × x × x × x × x × x × x.
Learn more about Exponents here :
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Find each product
(6v^2+2v+7)(2v^2-2v+6)
The ratio of the number of students at the zoo in the morning to the number of students at the zoo in the afternoon was 5:3. There were 145 students at the zoo in the morning. What was the number of students at the zoo in the afternoon?
Answer:
87 in the afternoon
Step-by-step explanation:
morning: afternoon
5 3
There were 145 in the morning
145/5 =29
Multiply each side by 29
morning: afternoon
5*29 3*29
145 87
There are 87 in the afternoon
Kayla has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6.
What is the probability Kayla rolls an even number on the red cube and a multiple of 3 on the blue cube?
ΟΑ.
16%
B. 25%
O c 33%
D. 50%
E. 83%
The probability Kalya rolls an even number on the red cube and a multiple of [tex]3[/tex] on the blue cube is [tex]16%[/tex] percent, when both the cubes have faces labeled [tex]1[/tex] through [tex]6[/tex].
ProbabilityThe ratio of the favourable number of outcomes to the total number of outcomes is known as Probablity.
How to find the probability?First, find the possible outcomes.
Kalya has a red number cube and a blue number cube. Each number cube has faces labeled [tex]1[/tex] through [tex]6[/tex].
So, possible outcomes [tex]=(6[/tex]×[tex]6)=36[/tex]
Let, [tex]S[/tex] be the sample space.
Then, [tex]n(S)=36[/tex]
Let, [tex]E=[/tex]the event of getting an even number on the red cube and a multiple of [tex]3[/tex] on the blue cube.
[tex]E=(2,3),(2,6),(4,3),(4,6),(6,3),(6,6)[/tex]
Then, [tex]n(E)=6[/tex]
Let, [tex]P[/tex] is the probability of the event [tex]E[/tex].
So, [tex]P(E)=\frac{n(E)}{n(S)}=\frac{6}{36}=\frac{1}{6}[/tex]≈[tex]16[/tex] percent
Thus, the probability Kalya rolls an even number on the red cube and a multiple of [tex]3[/tex] on the blue cube is [tex]16[/tex] percent.
Learn more about Probability here-
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Answer:
Α. 16%
Step-by-step explanation:
Find the value of the power.
(3/4) to the power of 4
Answer:
81/256
Step-by-step explanation:
3^4 = 81
4^4 = 256
put them as a fraction and u get 81/256
Answer:
25
Step-by-step explanation:
What is the surface area of the pyramid?
24 Square feet
37 square feet
39 square feet
69 square feet
Answer:
39
Step-by-step explanation:
square= lw
triangle= 1/2lw
s=9
triangle=15 divided by 2 times 4=30
you add 30 + 9 which will give you 39
How can we classify the triangles based on the length of the sides?
Answer:
They are the same so it'd be isosceles
Step-by-step explanation:
Hope this helps!!!
Answer:
There are Equilateral, Isosceles and Scalene triangles
Step-by-step explanation:
When all three sides of a triangle are all the same length, it is a equilateral triangle. When only 2 of the sided are the same length, it is a isosceles triangle. When none of the sides are the same, it is scalene.
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answer:
43%
Step-by-step explanation:
find the x to the nearest tenth
Answer:
It is 7.2 because if you imagine moving the 6 line in the other you can see the 9.2 is too long.
Step-by-step explanation:
What is the equation of a line that passes through points (0, 4) and (-4, -8)? y = 2x + 4 y = 2x - 4 y = 3x + 4 y = 3x - 4
Answer:
y= 3x +4
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient and c is the y-intercept.
To find the value of m, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Gradient
[tex] = \frac{4 - ( - 8)}{0 - ( - 4)} \\ = \frac{4 + 8}{0 + 4} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation.
y= 3x +c
To find the value of c, substitute a coordinate.
When x=0, y=4,
4= 3(0) +c
c=4
Thus, the equation of the line is y= 3x +4.
9 students can make a poster in 10 hours. How many students should join them so that they altogether can make this poster in 6 hours?
Answer:
6
Step-by-step explanation:
The work involved in making the poster is the product of students and hours:
work = students × hours = (9 students)(10 hours) = 90 student·hours
__
neededIf hours are reduced to 6, the necessary number of students is ...
90 student·hours = (6 hours)(students)
(90 student·hours)/(6 hours) = 15 students . . . . . . divide by 6 hours
additionalIf 15 are needed, then the number that must be added is ...
15 -9 = 6 . . . . students need to be added