Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
The number of vans used is three and the number of sedans is two
Let :
v represent the number of vans
s represent the number of sedans
The following equations can be gotten
7v + 5s = 31 equation 1
v + s = 5 equation 2
The elimination method would be used to solve for v and s
Multiply equation 2 by 7
7v + 7s = 35 equation 3
Subtract equation 1 from 3
2s = 4
s = 4/2
s = 2
Substitute for s in equation 2
v + 2 = 5
v = 5 - 2
v = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
use mathematical language to decribe three different patterns in the following triangle.
Answer:
What's the triangle though?
Step-by-step explanation:
Answer:
Not enough Data
Step-by-step explanation:
Big points and Brainliest look at the attachment pretty ez
Answer:
D. 2 1/4
Step-by-step explanation:
(99/8)/(11/2)
(99/8)*(2/11)
(9/4)*(1/1)=9/4
9/4=2+1/4
Find the percent of decrease from 6 to 5.
Answer:
Use this
Step-by-step explanation:
Dario spends 3 1/2 hours on the phone with technical support and pays $10. What is his unit rate?
Answer:
20/7 dollars per hour
Step-by-step explanation:
He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.
10 / (3 1/2) =
10 / (7/2) =
(10/1) x (2/7) =
20/7
In a class of 32 students for students were home sick with the flu on Thursday what percent of the students were absent on Thursday
9 lb 4 oz - 2 lb 12 oz with regrouping
Answer:
6 LB 12 OZ
Step-by-step explanation:
16 OZ in a LB
9 LB - 2 LB = 7 LB
4 OZ - 12 OZ difference of 8 OZ
4 - 4 = 0 then 16 OZ in a LB
4 remaining - 16 = 12 dropping the 7 LB to 6 LB
Answer:
6lb 8oz
Step-by-step explanation:
9lb 4oz
+16
8lb 20 oz
-2 lb 12oz =
Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
(arithmetic mean) number of comic books owned by Fred and Norman?
Answer:
[tex]Mean = 42[/tex]
Step-by-step explanation:
Given
Represent Fred with F; Norman with N and Dave with D.
[tex]Total = 128[/tex]
[tex]D = 44[/tex]
Required
Determine the arithmetic mean of F and N
First, we have that:
[tex]F + N + D = 128[/tex]
Substitute 44 for D
[tex]F + N + 44 = 128[/tex]
Subtract 44 from both sides
[tex]F + N + 44 - 44 = 128 - 44[/tex]
[tex]F + N = 84[/tex]
Arithmetic mean of F and N is calculated as follows:
[tex]Mean = \frac{F + N}{2}[/tex]
[tex]Mean = \frac{84}{2}[/tex]
[tex]Mean = 42[/tex]
In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8
A basketball player makes 65% of all free throws
in her first 5 seasons. In her 6th season she
makes 105 out of 150 free throws. How does the
observed frequency of her 6th season compare
to the expected frequency? Provide a possible
explanation for any similarities or differences in
the frequencies. 7.50.3.7
Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.
75 •
.75 =
.5625
.75 •
.75 •
.75 =
.4219
(i'm sorry if i'm wrong)
Evaluate 3 + (a + 4)(8 - b) when a = 5 and b = 6.
The value of the expression is
Answer:
21
Step-by-step explanation:
you plug in 5 for a and 6 for b and solve.
The value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21
How to evaluate an expression?3 + (a + 4)(8 - b)
when,
a = 5 and b = 6
substitute into the expression= 3 + (5 + 4) (8 - 6)
= 3 + 9 (2)
= 3 + 18
= 21
Therefore, the value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21
Learn more about evaluation:
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HURRY I NEED HELP ASAP
Which set of angle measures would determine a triangle
a. 75,15,10
b.150,20,50
c.50,50,100
d.75,5,100
e70,60,40
Answer:
D
Step-by-step explanation:
all should add up to 180
Answer:
E. 70°, 60°, 40° D. 75°, 50, 100 C. 50°, 50°, 100°
Step-by-step explanation:
If you add the three degrees together, they all should equal 180 degrees.
Hope this helped :)
2(3j + 3) = 3(2 + 2j)
Answer:
infinitely many solutionsthe solution is any real number[tex]\huge\boxed{j\in\mathbb{R}}[/tex]
Step-by-step explanation:
[tex]2(3j+3)=3(2+2j)\qquad|\text{use the distributive property}\\\\(2)(3j)+(2)(3)=(3)(2)+(3)(2j)\\\\6j+6=6+6j\qquad|\text{subtract}\ 6j\ \text{from both sides}\\\\6=6\qquad\bold{TRUE}\\\\j\in\mathbb{R}[/tex]
6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44
Answer:
60 years
Step-by-step explanation:
Given that :
Sarah's age = a
Assume Sarah is older than 44 ; then a > 44
64 = 4 times difference between a and 44
Expressing the problem mathematically ;
64 = 4 * (a - 44)
64 = 4a - 176
64 + 176 = 4a
240 = 4a
a = 240 / 4
a = 60
Hence, Sarah is aged 60
10. DESIGN Mr. Hagarty is choosing tiles to design a kitche backsplash for a rectangular area 65 inches wide and 9 in tall . Design a backsplash using each type of rhombi-shape tile that minimizes cost. a. diagonals of 1 inch and 1.5 inches, $0.05 each b. diagonals of 1.5 inches and 2 inches, $0.07 each Areas of Trapezoids, Rhombi, and Kites 2 © B O DO
Answer:
I honeslty dont know I just need points to answer a question
Step-by-step explanation:
hope you find the answer youre looking for!
The table represents a function.
Answer:
4
Step-by-step explanation:
What is the Inverse function of F(x)=3x²?
Answer:
f⁻¹(x) = x+2 / 3
Step-by-step explanation:
i dont have one. i just did it.
A toy marks down every toy by 25% in January. Use p for the price in December to write an expression of the price in January?
Answer: since the toy is marked down 15%,
you do p*.85
to find the remaining cost
Step-by-step explanation: I got this from a friend. But I hope this helps! <3
You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence interval for the menu systolic blood pressure for the employees of this company is (122, 138). Which of the following statements gives a valid interpretation of the confidence level?a. 95% of the sample of employees have a systolic blood pressure between 122 and 138.b. 95% of tire population of employees have a systolic blood pressure between 122 and 138c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population means systolic blood pressure.d. The probability that the population mean blood pressure is between 122 and 138 is .95
Find the area of the shape shown below
Answer:
26.75 units²
Step-by-step explanation:
Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.
Find the area of each then sum all together to get the area of the figure.
✔️Area of Triangle 1 (the biggest triangle):
Area = ½*base*height
height = 3.5
base = 2 + 2 + 5 = 9
Area = ½*9*3.5 = 15.75 units²
✔️Area of Triangle 2 (the medium triangle):
Area = ½*base*height
height = 2
base = 5
Area = ½*5*2 = 5 units²
✔️Area of Triangle 3 (the smallest triangle):
Area = ½*base*height
height = 2
base = 2
Area = ½*2*2 = 2 units²
✔️Area of the square:
Area = s²
s = 2
Area = 2² = 4 units²
✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²
Putting money into more than one kind of investment at a time is called
Putting money into more than one kind of investment at a time is called Diversification.
What is Diversification?This a technique which helps to reduce risk through investing in different sectors and opportunities.
It also involves putting money in more than one type of investment which makes Diversification the most appropriate choice.
Read more about Diversification here https://brainly.com/question/18647091
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Which statements describe one of the transformations performed on f(x) =x^2 to create g(x)=2x^2+5?
A: A translation of 5 units to the right
B: A vertical stretch with a scale factor of 1/2
C: A vertical stretch with a scale factor of 2
D: A translation of 5 units up
Answer:
do u know the answer ik it's five units up but that it
Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.
Step-by-step explanation:
Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?
Answer:
Y=3.68x
Step-by-step explanation:
Answer:
Its should be y=$3.68(X)
9(2n+1) =
can someone help me, please
Answer:
9(2n + 1) = 18n + 9Step-by-step explanation:
9(2n + 1)
use the distributive property a(b + c) = ab + ac
= (9)(2n) + (9)(1) = 18n + 9
Step-by-step explanation:
9(2n+1) =0
18n+9 = 0
18n = -9
n = -9/18
n = -1/2
A cookie factory uses 1/10 of a barrel of oatmeal in each batch of cookies. The factory used
2/5 of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?
Answer:
4
Step-by-step explanation:
2/5 is the same as 4/10
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]
Consider (ii)
[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]
Multiply 10 on both sides , we get
[tex]10Y-X=265000 (iii)[/tex]
Add (i) and (iii)
[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]
Put this in (i)
[tex]X= 33500+0.2(373125) =108125[/tex]
Hence, X= 108125 and Y = 373125.
11. The table below shows the cost of comic books. Number of Comic Books Total Cost (dollars) 3 3.75 5 7 8.75 10 12.50 Based on the information in the table, which is the best prediction of the cost of 12 comic books?
Answer:
$15
Step-by-step explanation:
The unit rate or how much a comic book costs = total cost ÷ number of comic books
Using any given pair, let's use the first row (3, 3.75):
Unit rate = [tex] \frac{3.75}{3} = 1.25 [/tex]
This means a comic book cost $1.25.
Therefore, 12 comic books would cost:
12 × 1.25 = $15
i need a step by step explanation
Answer:
1/2c-4
Step-by-step explanation:
First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.
LGS 2.5.052.MI.
A fax machine that regularly sells for $227.88 is on sale for
off the regular price. Find the sale price.
$
Answer:
I’m sorry but I can’t see how much it’s on sale for so just tell me and I’ll answer.
Step-by-step explanation:
Solve this radical equation:
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Given,
[tex] \sqrt{x + 11} - x = - 1[/tex]
To Find:
Value of xSolution:
Square both sides, then solve.
[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]
[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]
[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]
[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]
[tex] \rm \implies1+x {}^{2} −3x=11[/tex]
[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]
[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]
Factor the LHS
[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]
Bring terms equal to 0, that is
[tex] \implies \rm(x - 5) = 0[/tex]
Solve for x[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]
AND set x+2 equal to 0,
[tex] \rm\implies \: x + 2 = 0[/tex]
Solve for x[tex] \rm \implies \: x = - 2[/tex]
So the possible two values are 5 & -2.
But, after plugging the values for verifying each,the most accurate is 5.
So, the value of x is 5.
which number completes the inequality?
Answer:
1.08
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1.01<1.08<1.17<1.20