Answer:
9,10 or -10,-9
Step-by-step explanation:
Let call the first integer n and the second integer n+1 since they are consecutive.
Since the product of the integer is 90 set up this equation
[tex]n \times (n + 1)= 90[/tex]
[tex]n {}^{2} + n = 90[/tex]
Subtract 90 to get it on the left side
[tex] n {}^{2} + n - 90 [/tex]
Apply quadratic formula
[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]
[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]
The roots are n= -10 and 9. We can use either root but let use a positve root
We are taking the positve roots
Plug 9 as n into n+1
[tex]9 + 1 = 10[/tex]
or
[tex] - 10 + 1 = - 9[/tex]
Jim needs to move his firewood from his truck to the woodpile in his house. He estimates that he will move 1/8 of the total wood in 45 minutes. Which unit rate can he use to help him plan how long it will take for him to move all the firewood?
Please explain how you got to answer
What is 2/3 divided by 5
Answer: Hey here’s your answer: 2/3 divided by 5=2/15
Hth
Step-by-step explanation:
Answer:
2/15 is ur answer
Step-by-step explanation:
2/3 ÷ 5
2/3 x 1/5
2/15
please solve and receive brain list
Answer:
26 = -28 - 12
Step-by-step explanation:
1. 12 x 1 - 12 x 3x
2. 8x - 36
Answer:
x = 1
Step-by-step explanation:
6x + 26 = 8x - 12(1 - 3x)
6x + 26 = 8x - 12 + 36x
6x + 26 = -12 + 44x
-6 + 6x + 26 = -12 + 44x - 6
26 = -12 + 38x
12 + 26 = -12 + 12 + 38x
38 = 38x
38/38 = 38x/38
1 = x
a shopkeeper had purchased 400 products for $40 each the goods did not sell due to quality issues he sold them to a scrap dealer for $6500 what is the profit/loss that he made in the transaction
Answer:
6500-40=6460
Step-by-step explanation:
4 movie tickets cost $35, how many dollars per ticket
Answer:
140
Step-by-step explanation:
35 x 4= 140
the relationship between two variables a and b is proportional. when a is 3 b is 25.5. write an equation to represent this relation
The answer is y = 8.5x
explanation is in the picture.
hope it helps.
Answer:
y= 8.5x
Step-by-step explanation:
Work out the length of EF
Answer:
EF=2 cm
Step-by-step explanation:
Answer:
EF = 2 cm
Step-by-step explanation:
HK = HG + GK
10 = 4 + GK
GK = 10 - 4
GK = 6 cm
or
KG = 6cm
[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]
[tex]\because EG\cong KG.. (cpct) [/tex]
[tex]\therefore EG = 6 cm [/tex]
[tex]\because FG\cong HG.. (cpct) [/tex]
[tex]\therefore FG = 4 cm [/tex]
EF = EG - FG (E-F-G)
EF = 6 - 4
EF = 2 cm
3x + 7x - 8 = -19
can someone please help me with this math problem
Answer:
x= -1.1
Step-by-step explanation:
first combine like terms
3x+7x=10x
10x-8=-19
+8 on both sides
10x= -11
divide by 10
x= -1.1
check the answer
10(-1.1)-8= -19
-11-8= -19 its true
il find the distance bin the orgin
and the lone x = 4x-34=10
Answer:
11 units from the origin
Step-by-step explanation:
When graphing the line 4x-34=10, it intersects the x-axis 11 units from the origin.
If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?
Answer:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
The ratio of the length to the width of a map is 5 to 2. The map is exactly 15 inches in length. What is the width of the map? A. 6 inches B. 7 inches C. 10 inches D. 12 inches
equations with variables on both sides that make the answer x=8
Answer:
x/4 = x-6
Step-by-step explanation:
x/4 = x-6 makes x = 8
Hope this helps!!!
please help me with geometry question :)
Given:
The graph of a triangle ABC.
A line is parallel to AC and passes through the point D.
To find:
The point at which the intersection of this parallel line be with the line BC.
Solution:
From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).
Slope of AC is
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\dfrac{1-7}{9-1}[/tex]
[tex]Slope=\dfrac{-6}{8}[/tex]
[tex]Slope=\dfrac{-3}{4}[/tex]
Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].
The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex] ...(i)
From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.
Putting x=9, we get
[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{16}{4}[/tex]
[tex]y=4[/tex]
Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).
Find x, please don't put random answers for points
Answer:
The answer will be x=6.07 I believe
Step-by-step explanation:
I hope this Helped
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
Since the 0CA and ACL are equal, we know that OA equals AL.
Using the Pythagorean Theorem, 10^2-6^2=100-36=64.
Under square root 64 is equal to 8, so OL is equal to 8.
Since OA is equal to AL, AL=6.
Again, using the Pythagorean Theorem, 6^2+4^2=36+16=52.
Under square root 52 simplifies to [tex]2\sqrt{13}[/tex]
Hope I helped!
What is the equivalent measure of 2.8 grams in hectograms?
Answer:
0.028 hectograms
Step-by-step explanation:
1 gram = 0.01 hectograms
Solve for x in the equation X2 - 10x+ 25 = 35.
o
X
<= 5+2.15
X=5+ 35
X = 10+ 2.15
X= 10+ 35
Find the perimeter of a square with side lengths of 3x + 1. Use the distributive property to write an expression.
classify the number -4_6/7 in as many ways as you can
-34/7 is the exact form -4.857142 repeating
7/3 into a mix number
Answer: 2 1/3
Step-by-step explanation:
Answer and Step-by-step explanation:
To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.
3 goes into 7 two times, so we put a two on the outside.
[tex]2\frac{1}{3}[/tex]
^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.
#teamtrees #WAP (Water And Plant)
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
An equation is ____=540
The solution is x=____
in figure
85+5n+5n+5n+5f+5n-10=540
20n+80=540
20n= 460
x=23
-35 = -3x + 8 + 5x
Can someone please help me with this math problem
Answer:
22.5 i think
Step-by-step explanation:
-3x + 8 + 5x = - 35
add like terms
2x + 8 = -35
subtract 8 on both sides
2x = 43
divide by 2
22.5
Answer:
22.5
Step-by-step explanation:
add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help
Can a quadrilateral be both a rectangle and a rhombus
Answer:
no, a rectangle must have 4 right angles and opposite sides are congruent
a rhombus must not have right angles and all sides are congruent
Step-by-step explanation:
Answer:
no
Step-by-step explanation: no it cant since a rhombus has 4 equal sides while a rectangle has 2 sets of equal sides.
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period. a. Which form of the null and alternative hypotheses most appropriate for this situation
The question is incomplete. The complete question is :
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
a. Which form of the null and alternative hypotheses most appropriate for this situation.
[tex]$H_0$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
[tex]$H_a$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
Solution :
It is given that the current mean sales volume in one month is 24 automobiles. The automobile dealership manager wants to conducts research study to check the increase in the sales volume due to the launch of a new bonus plan. So to collect the data on plan, sample of the sales personnel is allowed to sell for one month period only according to the new bonus plan.
Therefore the null hypothesis and the alternate hypothesis that most appropriates the situation is :
[tex]$H_0 \leq 24$[/tex][tex]$H_a > 24$[/tex]Abosolute value of -5
15% of the students in the library have brown eyes. If there are 9 students with brown eyes, How many students are in the library
Answer:
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
ENGLISH
If you Multiply 9x100 you get 900 then you divide 15 divided by 900 is 60
SPANISH
Si multiplica 9x100 obtiene 900, entonces divide 15 dividido por 900 es 60
Hope this will help you
Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?
Answer:
80 miles in 4 days.
Step-by-step explanation:
48/12 = 4
4 miles per day
4 × 20 = 80
80 miles in 4 days
what is the rate of markup applied for a cellphone sold for 15,000 with an original price 13,000?
need help po
MATH
Answer:
2000 profit
Step-by-step explanation:
15000 - 13000 is 200 I may be wrong I didn't understand the question
Find the slope of the line that passes through (10,5) and (3,2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
I NEED THIS ASAP!!
1. Given A = {1,2,3,4}, B ={1,2,4,5), C={3,4,6}, D= {7,8}. U={1,2,3,4,5,6,7,8,9}
What is A UB? Bn C? CD? A'? (A U B)
Answer:
Step-by-step explanation:
A∪B = {1,2,3,4,5}
B∩C = {4}
I don't know what CD means.
A' = {5,6,7,8,9}
Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot
Answer:
The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.
To find:
The volume of the rectangular prism.
Solution:
Let the length, breadth and height are 21 in, 20 in and 19 in respectively.
Volume of the rectangular prism is
[tex]V=Length\times Breadth\times Height[/tex]
[tex]V=21\times 20\times 19[/tex]
[tex]V=7980[/tex]
Therefore, the volume of the rectangular prism is 7980 cubic inches.