Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.
What is a proportion?A proportion is a fraction of a total amount.
Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:
Family 1:
0.09I = 60.30.
I = 60.30/0.09
I = $670.
Family 2:
0.09I = 82.80.
I = 82.80/0.09
I = $920.
Family 3:
0.09I = 135.00.
I = 135.00/0.09
I = $1500.
Family 4:
0.09I = 189.00.
I = 189.00/0.09
I = $2100.
More can be learned about proportions at https://brainly.com/question/24372153
I need help with this
Step-by-step explanation:
Doesn't the line show where the median is? Then it would be class 1
9cm
7 cm
9cm
8cm
Olivia goes to Egypt and saw a model of
irged it using a scale factor of 1.2. What
ne new triangle pyramid?
6 cm
6 cm
Answer:
6 * 1.2 = 7.2
7 * 1.2 = 8.4
8 * 1.2 = 9.6
now find the Area and Perimeter of the enlarged triangle:
A = 1/2bh
A = 1/2 * 9.6 * 8.4
A = 40.32
P = a + b + c
P = 7.2 + 7.2 + 9.6
P = 24
So, the Area is 40.32 and the Perimeter is 24.
For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.
how many adult ticket were sold
how many student tickets were sold
Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33^{\circ}
∘
. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft
The situation forms a right angle triangle.
What is a right angle triangle?Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.
Therefore, the height of the kite form the ground can be found as follows;
sin 33° = opposite / hypotenuse
sin 33° = h / 75
cross multiply
h = 75 × sin 33
h = 40.8479276261
h = 40.84
The height of kite from ground = 40.847 + 3.5 = 44.3479276261 = 44.85 ft
learn more on right triangles here: https://brainly.com/question/25799394
Answer:
44.35
Step-by-step explanation:
i did it
Carmen's car used 11 gallons of gas to travel 462 miles. How many miles per gallon did his car travel? Show the steps for finding the unit rate
Answer:
I'm pretty sure it's 473 if that isn't correct Then what you do Is Divide it or Mutiply it if you still don't get your answer Be sure to Ask someone
Answer:
42miles per gallon
Step-by-step explanation:
since total gallons of fuel used is 11 gallons to travel 462miles,
per gallon will be 462/11 =42miles per gallon
Write the following in order of size ,starting with the smallest. 66/100 , 0. 6 , 0. 67 , 666/1000
Answer:
0.6,66/100,666/1000,0.67
What is the slope of the line through the points (-2, -1) and (4, 3)?
2/5
5/2
3/2
2/3
Answer:
2/3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3- -1)/ ( 4 - -2)
= ( 3+1)/ ( 4+2)
= 4/6
= 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]
[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]
[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the experimental probability of rolling a number less than 4?
A: 1/2
B: 16/33
C: 1/22 D: 17/33
what is the answer?
HELP
Answer:
A. 1/2
Step-by-step explanation:
For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.
Therefore, the experimental probability of rolling a number less than 4 is 1/2.
What is the square inches?
Answer:
given :-
for rectangular part: length=12in, breadth=8in
for triangular part:base=8in, height=3in
area of the given fig:
area of the given fig:area of 2 triangles +area of rectangle
[tex]→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2} [/tex]
hope it helps you<3Juan plays little league baseball. In 36 at-bats, he had 12 hits. What is the ratio of at-bats to hits?
Answer:
The Ratio is 8:16.
Step-by-step explanation:
helppppppp fasttttt!!!!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
7+7=14*
14*3.14=43.96
Please help me
x^2 + 5=41 (find all solutions to the equation)
Answer:
X=6!!
Step-by-step explanation:
x2+5=41. x2=36. ±62=36. x=6.
x=6!!!
Round 716.51 to the nearest hundredth
A. 716
B. 717
C. 716.51
D. 716.515
Thank you to everyone thats helping me!
Answer:
c
Step-by-step explanation:
the number(1) with the place value hundreth has nothing after it so it stays the same
Answer:
I believe the answer would be 717. Correct me if I'm wrong but that is what I believe the answer is.
Step-by-step explanation:
Since the answer is talking about hundredth, you would look at the decimal.
The decimal states that its .51, which means it could not be 716, since the decimal is less than 50, so your answer SHOULD be B). 717
Nicholas bought 776.25 ounces of chocolate. 213.46 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Nicholas buy?
Mandy was painting a mural shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. what was the area of the mural?
Answer:
The area of the mural is 60 feet.
Step-by-step explanation:
The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.
How do you evaluate a geometric series?
To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .
hope it helps...!!!
select all the expressions that are equivalent to 16^5/2
Answer:
A, C, E
Step-by-step explanation:
[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]
A. 4^5 = 1024 Yes
B. 8^5 No
C. 4^5 Yes
D. [tex] 16^{\frac{2}{5}} [/tex] No
E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex] Yes
F. [tex] 16^{\frac{11}{2}} [/tex] No
2. Which exponential function matches the
values in the table below?
х
3
4
5
4,096
32,768
| f(x) 512
A f(x) = x8
B f(x) = 8*
C f(x) = 64(2)*
D f(x) = 8x
Answer:
B. f(x) = 8*
Step-by-step explanation:
putting the value given in table
=> 512 = 8³
=> 512 = 512
=> 5,096 = 8⁴
=> 5,096 = 5,096
=> 32,768 = 8⁵
=> 32,768 = 32,768
so, it's B f(x) = 8*
Answer:
The answer is B) f(x)=8^x
What is the answer, I need this for a geometry assignment.
Answer:
x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest
Step-by-step explanation:
PLS HELP ME WITH THIS IM GONNA CRY ITS SO HARD....
Arsenic‐74 is used to locate brain tumors. It has a half‐life of 17.5 days. 90 mg were used in a procedure. Write an equation that can be used to determine how much of the isotope is left after x number of half-lives.
Let that be x
Use the general formula used for calculating half-life
[tex]\\ \rm\Rrightarrow A=A_o(0.5)^{\frac{t}{h}}[/tex]
H is half-life,t is timetime given xput values
The equation is
[tex]\\ \rm\Rrightarrow A=90(0.5)^{x/17.5}[/tex]
graph the function y=x-10
The car model was built on a 1:36 scale. If the length of the car is 180 inches, how many inches long is the model?
Answer:
the results are
a. 1,080-inch
b. 90 feet
Step-by-step explanation:
there are 4 steps to get to your resluts
Find m
S
12x +4
G
40°
F
E
D
4x
Answer: C
Step-by-step explanation:
A study claims that the average home sale price in Kansas is less than the average home sale price in Missouri. The average sales price for 35 home sales in Kansas is $240,993 with a standard deviation of $25,875. The average home sales price for 37 homes in Missouri is $249,237 with a standard deviation of $27,110. At the (alpha) a= 0.10, is there enough evidence to reject the study’s claim?
Complete a full hypothesis test for the following. Include the hypotheses, critical
value(s), test value and graph, your decision to reject or not reject, and a summary of
the information
Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.
Null and Alternative HypothesisData;
sample mean x1 = 240993population standard deviation σ1 = 25875sample size n1 = 35sample mean x2 = 249237population standard mean σ2 = 27110sample size n2 = 35significance level α = 0.10H_o = μ1 = μ2
H_o = μ1 ≠ μ2
This is a two-tailed test and population standard deviation will be used.
Test StatisticThe z-stat is
[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]
The significance level is α = 0.1 and the critical value for a two-tailed test is
[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]
Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.
Learn more on null hypothesis here;
https://brainly.com/question/15980493
HELPPPPPPPPPPPPPP ASAP
Answer:
Use the formula of Range Large-Small Data
I think it will help you.
can someone explain to me what this is in detail P(A∩B) = P(A) · P(B)
Answer:
Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).
Answer:
I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B
Step-by-step explanation:
Please rate bainliest if you think I deserve
Solve 5(x – 4) = 2(x + 5) for x.
Question 9 options:
x = 5
x = –10
x = 10
x = –5
Answer:
Step-by-step explanation:
the answer for 5(x – 4) = 2(x + 5)
is x=10
your welcome!
Answer:
x = 10
Step-by-step explanation:
5(x – 4) = 2(x + 5) DISTRIBUTE
5x - 20 = 2x + 10 COMBINE LIKE TERMS
3x = 30 ISOLATE X
x = 10 FINAL ANSWER
I hope this helps!
pls help T-T
i need a solution too
Answer:
I do not know it very well
Step-by-step explanation:
80
Answer:
b. 60°
Step-by-step explanation:
The exterior angles of a convex polygon total 360°. When the polygon is a regular hexagon, there are 6 congruent exterior angles.
__
Each exterior angle has a measure of ...
x° = 360°/6 = 60°
Could you also provide an explanation
Answer:
Equation: y=mx+b
sorry for taking so long! :)
AC) y=-1, because it is remaining constant and the slope is zero, the y intercept is -1.
AB) The slope is 1 and the y intercept is 1.
So, y=x+1
BC) The slope is -6. The y intercept is harder to find. You can use this equation however;
y-y(1)=m(x-x(1)
y-5=-6(x-4)
y=-6x+29
If apples cost $1.08 per pound, how much would 3.8 pounds cost?
Answer:
4.10
Step-by-step explanation:
1.08 * 3.8 = 4.104
but money is 2dp so...
4.10