Answer:
5m - 6 = 19Step-by-step explanation:
We are given:Monday x 2 = Tuesday
Tuesday - 6 = Wednesday
Lets say
Monday = m
Tuesday = t
Wednesday = w
m = m
2m = t
2m - 6 = w
Combine like terms: 5m - 6 = 19
Add 6 to both sides
5m = 25
Divide both sides by 5
m = 5
Plug it in the equations.
Monday = 5
Tuesday = 10
Wednesday = 4
Answer:
5x - 6 = 19
Step-by-step explanation:
A rectangular garden has a walkway around it. The area of the garden is 4(4.5xplus1.5). The combined area of the garden and the walkway is 5.5(8xplus4). Find the area of the walkway around the garden as the sum of two terms.
Answer:
Walkway is 1.5 units²
Step-by-step explanation:
Just subtract the area of the garden from the combined area:
5.5-4=1.5
Also did you mean difference? I don't know what it means by sum.
Find the measurement indicated. Round your answers to the nearest tenth. Use Law of Sines or Cosines
Answer:
5. 34°
6. 29.7
Step-by-step explanation:
5. Using sine law
25/sin(93) = 14/sin(C)
sin(C) = 0.5592325395
C = 34.00273934°
6. Using cosine law
AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)
AC² = 880.507229
AC = 29.67334206
Answer:
5. m∠C ≈ 34°
6. AC ≈ 29.7 metres
Step-by-step explanation:
5. We need to use the Law of Sines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Here, a = 25, ∠A = 93°, and c = 14, so we want to find ∠C:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
[tex]\frac{25}{sin93} =\frac{14}{sinC}[/tex]
sinC ≈ 0.56
∠C ≈ 34°
6. We need to use the Law of Cosines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:
[tex]c^2=a^2+b^2-2abcosC[/tex]
[tex]b^2=a^2+c^2-2accosB[/tex]
[tex]a^2=b^2+c^2-2bccosA[/tex]
Here, a = 23.2, c = 18.1, ∠B = 91°, and b = x. We want to find b, so:
[tex]b^2=a^2+c^2-2accosB[/tex]
[tex]x^2=23.2^2+18.1^2-2*23.2*18.1*cos(91)[/tex] ≈ 880.5
x ≈ 29.7 metres
Triangle A is a scaled version of triangle B. The dimensions of triangle B are three times the dimensions of triangle A. The area of triangle A is 24.5 sq cm. What is the area of triangle B?
Answer:
The area of triangle B is [tex]2.72cm ^{2}[/tex]
Step-by-step explanation:
We will use the principle of similar triangles to solve the problem.
Since triangle A is just a scale version of triangle B, we can say that the two triangles are similar.
The area scale factor is the square of the length scale factor.
Given the length scale factor as 3,
The area scale factor will be 3 X 3 = 9 sq. cm
(Area of triangle A / Area of triangle B) = (length of side A / Length of side B) square
[tex]\frac{24.5}{ area of B}= 3^{2}[/tex]
[tex]\frac{24.5}{Area of B}= 9\\Area of B = \frac{24.5}{9}= 2.72 cm ^{2}[/tex]
The area of triangle B is [tex]2.72cm ^{2}[/tex]
Choose the formula for the volume of a rectangular prism V = lwh written in terms of h.
A. h = Vlw
B. h = lVw
C. h = lwV
D. h = Vwl
Part B
Find the height h of a rectangular prism with volume V = 96 cm3, l = 8 cm and w = 2 cm.
height =
cm
Answer:
h = V/lw and the height = 6cm
Step-by-step explanation:
h = V/lw
V= [tex]96cm^{3}[/tex]
l = 8 cm
w = 2cm
V/lw = 6
Thus, the height = 6cm
Chase simplified the expression –2 × (5 – 3), and found –2 × 2 = 4. Is Chase correct? Why or why not?
Answer:
No, the correct answer is -4
Step-by-step explanation:
-2 x (5 - 3)
(5 - 3)= 2
-2 x 2= -4
-4
Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4
From the question,
The expression Chase simplified is–2 × (5 – 3).
First, we will simplify this expression properly and then check if Chase is correct or not.
To simplify the expression –2 × (5 – 3)
First, we will evaluate the expression in the bracket
The expression in the bracket is 5 - 3
5 -3 = 2
Therefore, the expression –2 × (5 – 3) becomes
–2 × (2) = –2 × 2
Now, we will complete the simplification by evaluating –2 × 2
–2 × 2 = -4
∴ Simplifying the expression –2 × (5 – 3) gives -4
Now, to determine if Chase is correct or not, we will compare answers.
Since Chase found –2 × 2 = 4, Chase is not correct because –2 × 2 = –4. He did not add the negative sign.
Hence, Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4
Learn more here: https://brainly.com/question/17208333
How long is DE?
Any help will be appreciated thank you
Answer: 4
Step-by-step explanation:
solve for the missing angle
the total degrees a triangle can have is 180 so
[tex]180-90-60=30[/tex]
use law of sines to solve for x
[tex]\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}[/tex]
cross multiply
[tex]sin60*x=4\sqrt{3} sin30[/tex]
divide by [tex]sin60[/tex]
[tex]x=\frac{4\sqrt{3}sin30 }{sin60}[/tex]
type into calculator with (ALPHA Y= for a fraction on TI-84) MAKE SURE IT IS IN DEGREES
5. Decide whether each statement is true or false. (1 point each)
a. T/F: If there is a strong correlation between two variables, the correlation coefficient will be close to –1 or 1.
b. T/F: If there is a negative correlation between two variables, the slope of the regression line will be positive.
c. T/F: If there is a strong correlation between two variables, there is a cause-and-effect relationship.
d. T/F: The best model for data that change direction is a linear model.
e. T/F: A regression line is useful for predicting unknown values within the range of the observed data values.
Answer:
T
F
F
F
T
Hope This Helped! :D
Answer:
ba p e x
Step-by-step explanation:
t
f
f
f
t
Carlos bought 80 feet of wire for $17.60. He needs 30 more feet. If the unit price is the same, how much will he pay for the extra 30 feet of wire?
Answer:
Carlos bought 80 feet of wire for $17.60.
Then the price for 1 feet of wire is 17.6/80 = 0.22
=> 30 feet of wire would cost: 30 x 0.22 = 6.6
Hope this helps!
:)
a right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length
Answer:
slant length = 35 cm
Step-by-step explanation:
A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.
surface area = πr(r + l)
where
r = radius
l = slant height/length
surface area = πr(r + l)
r = 10/2 = 5 cm
surface area = 628 cm²
Therefore,
628 = π × 5(5 + l)
628 = 5π(5 + l)
628 = 25π + 5πl
628 = 25 × 3.14 + 5 × 3.14 × l
628 = 78.5 + 15.7l
628 - 78.5 = 15.7l
549.5 = 15.7l
divide both sides by 15.7
l = 549.5/15.7
l = 35 cm
slant length = 35 cm
Answer:
35cm
Step-by-step explanation:
State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No
Answer:
Yes
Step-by-step explanation:
since it is being multiplied by -3 each time its geometric
The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
A race car driver has 28 cars. Each car has 4 tires. He has to replace all the tires on the cars. He has 22 tires right now.
estimate the total number of tires he needs to buy.
he needs to buy a total of 81 tires to finish the job
Answer:
94 tires
Step-by-step explanation:
He would be able to change 5 cars, but would need to buy 94 more tires.
I divided 22 by 5 and got 5.5. Then, I subtracted 28 minus 5, and got 23 times that by 4 and got 92 but you need to add the extra 2 tires.
The mean weight of females in a class is 60kg and that of the males is 72kg. If the mean
weight of the class is 68kg, what is the ratio of females to males in the class?
Answer:
1:2
Step-by-step explanation:
Let's say there are x males and y females in the class.
The sum of all male weights will be 72x, and the sum of all female weights will be 60y.
If we get a class mean weight, we have:
(72x + 60y) / (x+y) = 68
72x + 60y = 68x + 68y
4x = 8y
y / x = 4/8 = 1/2
So the ratio of females to males is the class is 1:2
Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.
As an added challenge develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x^2 + 2x +2)
Answer:
The product of (x + 1)(x² + 2x + 2) is
x³ + 3x² + 2x + 4
Step-by-step explanation:
The product of (x + 1)(x² + 2x + 2) is Given in the steps below.
(x + 1)(x² + 2x + 2) = x(x² + 2x + 2) + x² + 2x + 2
= x³ + 2x² + 2 + x² + 2x + 2
= x³ + 3x² + 2x + 4
For every bracelet she sells, she gives her business partner $4. If Latrece sells 18 bracelets for a total of $207, how much money will Latrece keep from each bracelet sold?
Answer:
Latrece gets to keep 135.
Step-by-step explanation:
so you would multiply 18 by 4 to get 72. Then you would subtract 207 by 72 to get 135
Answer:
7.50
Step-by-step explanation:
For 18 bracelets
She will give per partner
18*4 =72
She will keep all but 72 dollars
207 - 72 =135
She wants to know how much per bracelet so divide by the number of bracelets
135 / 18 =7.5
THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP..... I NEED TO SUBMIT IT NOW......
simplify the expression 4x + 3 - x - 7
Answer:
3x - 4
Step-by-step explanation:
The first, and last, step is to add like terms (4x and -x, 3 and -7), like so:
4x + 3 - x - 7
4x - x = 3x
3 - 7 = - 4
3x - 4
What is the volume of the prism?
Answer:
Rectangular prism:
length times width x height
Triangular prism:
(a+b+c) h
A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.
Answer:
The answer is 19,75 people / km2
Step-by-step explanation:
Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city
The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.
The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is
79 / 4 = 19,75 people per kilometer square.
I hope this answer helps.
Bur oak and hickory trees are deciduous,which means that they lose their leaves seasonally. A bur oak is 25 1/2 feet tall and grows 1 1/2 feet each year. A hickory is 30 feet tall and grows 1 1/2 feet each year. Complete the chart to show the heights of the two trees each year for five years.
First we must calculate, for each tree the increment for each year:
bur oak:
Initial: 25.5 ft
1 year = 25.5 + 1.5 = 27
2 year = 27 + 1.5 = 28.5
3 year = 28.5 + 1.5 = 30
4 year = 30 + 1.5 = 31.5
5 year = 31.5 + 1.5 = 33
hickory:
Initial: 30 ft
1 year = 30 + 1.5 = 31.5
2 year = 31.5 + 1.5 = 33
3 year = 33 + 1.5 = 34.5
4 year = 34.5 + 1.5 = 36
5 year = 36 + 1.5 = 37.5
Year | bur oak (ft) | hickory (ft)
0 25.5 30
1 27 31.5
2 28.5 33
3 30 34.5
4 31.5 36
5 33 37.5
Find the area of the triangle
Answer: Area of a triangle = (b*h)/2
Step-by-step explanation:
8*14= 112
112/2=56
The area of the triangle is 56 square units.
Answer:
56
Step-by-step explanation:area of aa triangle is 1/2bh
=1/2*8*14+56 square units
hope this hepls
plz mark me brainliest
please help! i do not understand
Answer:
90%
Step-by-step explanation:
Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.
whats x-3y=6 in slope intercept form ?
Answer:
y = 1/3X - 6
Step-by-step explanation:
Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A- w less-than-or-equal-to 3.6
B- The arrow points left.
E- There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each television? The fixed amount Gi earns for each television he sells is $ nothing.
Answer:
The fixed amount Gi earns for each television he sells is $ 55.
Step-by-step explanation:
If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:
per tv = total earnt/total sold
per tv = 1190/14 = 85
Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:
x + 30 = 85
x = 85 - 30
x = 55
The fixed amount Gi earns for each television he sells is $ 55.
Plz help with this problem
Answer:
A = 222 in²
Step-by-step explanation:
A = 2(wl+hl+hw) Use this equation to find the surface area of the rectangular prism
A = 2(5*12 + 3*12 + 3*5) Multiply
A = 2(60 + 36 + 15) Add in the parentheses
A = 2(111) Multiply
A = 222 in²
If this answer is correct, please make me Brainliest!
can you please help me with this thanks
Answer: 6
Step-by-step explanation:
in a 30 60 90 triangle the hypothenuse is [tex]2a[/tex], long side is [tex]a\sqrt{3}[/tex], and the short side is [tex]a[/tex]
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
What is the length of the arc?
Answer:
length of the arc = 6.28 ft
Step-by-step explanation:
[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]
can someone help me?
Answer:
Step-by-step explanation:
X = 152 -90 = 62 degree
Find five rational numbers between 3/7 and 2/3
PLEASE HELP...... I NEED TO SUBMIT THIS NOW....
Answer:
First, you get both of them with same denominator:
3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.
The solution is that you can raise the denominator 2 times:
9/21 and 14/21 => 18/42 and 28/42
Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of 5 rational numbers you are looking for.
