Answer:
B) 57.4+x=67
Step-by-step explanation:
We take the amount in the piggy bank. Then we take the amount spent and add it to the amount she has left. These two amounts should be equal
piggy bank = spent + left
67 = x + 57.40
Which value of w makes 14=11+w/8 times 6 a true statement?
Answer: For the value of w=4, [tex]14=11+\frac{w}{8}\times 6[/tex] is a true statement.
Step-by-step explanation:
Since, the given expression,
[tex]14=11+\frac{w}{8}\times 6[/tex]
= [tex]14=11+\frac{6w}{8}[/tex]
= [tex]14=11+\frac{3w}{4}[/tex]
= [tex]3=\frac{3w}{4}[/tex] ( by subtraction property of equality)
⇒ [tex]=\frac{w}{4}[/tex] ( By division property of equality)
⇒ w=4 ( By multiplication property of equality)
Answer:
w=4
Step-by-step explanation:
f(x) = 4x4 − 8x3 − 3x2 + 7x − 2 = (x + 1)(4x3 − 12x2 + 9x − 2) Based on the sythetic division shown, 1 2 is of the polynomial.
Answer:
-1, 2, 0.5, 0.5
Step-by-step explanation:
[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]
Using synthetic division for x=-1 we find that
-1 4 -8 -3 7 -2
-4 12 -9 2
-----------------------------------------------
4 -12 9 -2 0
----------------------------------------------
Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]
Again try synthetic division by x-2
2 4 -12 9 -2
8 -8 2
-----------------------------------
4 -4 1 0
--------------------------------------
Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]
Hence zeroes of the polynomial f(x) are
-1, 2, 0.5, 0.5
Answer:
Second half of the question: Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.
Step-by-step explanation:
The probability that Gavyn wins a raffle is given by the expression o/p
.
Is there another part to this question? What should we answer?
Answer:
i've literally got this same question and i have no idea what to putt
Step-by-step explanation:
In addition to an $80 bonus Joan earned eight dollars per hour working last week Joans total earnings last week or $240 how many total hours did she work last week
Answer:
20 hours
hope it helps
Step-by-step explanation:
total earnings was $240 but to find how much he made working you first have to deduct the $80 bonus
240 - 80 = 160
so he made $160 working now to find out how many hours worked you have to divide by 8 because he got paid $8.00 an hour
160 ÷ 8 = 20
Answer:
20hrs
Step-by-step explanation:
We need to find out how many hours she worked last week.
The bonus added $80 to the money she got from her hours worked so lets take that away:
240-80=160
Since she gets $8/hr we should divide 160 by 8
160÷8=20
I need help!!!!
Can someone help me
Answer:
D
Step-by-step explanation:
note that the values in the domain map to the values in the domain as
- 1 → 2 ( that is 1 + 3 = 2 )
3 → 6 ( that is 3 + 3 = 6 )
5 → 8 ( that is 5 + 3 = 8 )
In each case 3 is added to the value in the domain(x) to obtain the value in the range ( y = f(x) )
Hence f(x) = x + 3 → D
an aquarium tank is 3 feet long, 1 foot wide, and 2 feet high. how many gallons of water would it take to fill the tank two-thirds full?
Answer: the answer is 6ft
Step-by-step explanation:
3 times 1 times 2 = 6ft
Number of gallons of water would it take to fill the tank two-thirds full is,
⇒ 30 gallons
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
An aquarium tank is 3 feet long, 1 foot wide, and 2 feet high.
Hence, Volume of tank is,
⇒ V = 3 x 1 x 2
⇒ V = 6 feet³
Hence, Number of gallons of water would it take to fill the tank two-thirds full is,
⇒ 2/3 of 6
⇒ 4 feet³
⇒ 4 × 7.5
⇒ 30 gallons
Thus, Number of gallons of water would it take to fill the tank two-thirds full is,
⇒ 30 gallons
Learn more about the multiplication visit:
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Drag and drop the correct answer into each box to complete the proof. parallelogram K L M N where K N is parallel to L M and K L is parallel to M N Given: Parallelogram KLMN Prove: ∠N≅∠L and ∠M≅∠K
Answer:
Opposite angles of a parallelogram are congruent.
Step-by-step explanation:
Given:
KLMN is a parallelogram.
KN ║ LM and KL ║MN.
To prove:
∠N ≅ ∠L
∠M ≅ ∠K
Proof:
∠N ≅ ∠L since the opposite angles of a parallelogram are congruent.
∠M ≅ ∠K since the opposite angles of a parallelogram are congruent.
Answer: Parallelogram KLMN Given
KL¯¯¯¯¯∥NM¯¯¯¯¯¯¯ and Kn---------llLM Definition of parallelogram
m∠K+m∠N=180°
m∠L+m∠M=180°
m∠K+m∠L=180° Same-Side Interior Angles Theorem
m∠K+m∠N=m∠K+m∠L
m∠L+m∠M=m∠K+m∠L Substitution Property of Equality
m∠N=m∠L
m∠M=m∠K Subtraction Property of Equality
∠N≅∠L
and ∠M≅∠K
Angle Congruence Postulate
Step-by-step explanation:
I took the test and got a 100
help plz i dont understand this I'm going crazy
Answer:
<
Step-by-step explanation:
2*18-18=18
2*[28-3*(2+4)] = 20
18<20
Answer:
symbol is <
Step-by-step explanation:
evaluate the left and right sides for comparison
left = (2 × 18 ) - 18 = 36 - 18 = 18
right = 2[28 - (3 × 6) ] = 2[28 - 18] = 2 × 10 = 20
18 < 20
hence replace ? with <
Give an example of an opposite integers
Answer:
-2, 2
Step-by-step explanation:
they are both the same distance from zero but one is positive and one is negative
Answer:
3- and 3+
Step-by-step explanation:
Basically just have your positive number and have the same number but just it being negative.
30 POINTS ANSWER RIGHT NOW PLEASE
Which of the diagrams represent the following equation?
xy = 20
A graph with two curved sections, one confined to quadrant 2 approaching both axes and one confined to quadrant 3 approaching both axes.
A line going through the points (0, 0) and (20, 1).
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 4 approaching both axes.
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 3 approaching both axes.
Answer:
Step-by-step explanation:
x=20 or y=20/x
Solve for v.
.
Simplify your answer as much as possible.
Answer:
v = 9
Step-by-step explanation:
Use the method of cross- multiplying
[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc
8v = 12 × 6
8v = 72 ( divide both sides by 8 )
v = 9
Answer:
[tex]v=9[/tex]
Step-by-step explanation:
The given equation is
[tex]\frac{v}{12}=\frac{6}{8}[/tex].
We multiply both sides of the equation by 12 to obtain,
[tex]12\times \frac{v}{12}=\frac{6}{8}\times 12[/tex].
This implies that;
[tex]v=\frac{3}{4} \times 12[/tex]
This gives
[tex]v=\frac{3}{1} \times 3[/tex]
[tex]v=3\times 3[/tex]
[tex]v=9[/tex]
if line XZ is 2ft, line YZ=18in. what is the length of line XY
Answer:
XY = 6 in
Step-by-step explanation:
XZ = 2ft = 24 in.
XY + YZ = 24 in.
XY + 18 in. = 24 in.
XY = 24 - 18 = 6 in
One number is equal to two times a second number. Two times the first number plus two times the second number is 24. If you let x stand for the first number and y for the second, what are the two numbers? A. x = –24, y = –12 B. x = 12, y = 6 C. x = 8, y = 4 D. x = 24, y = 12
Answer:
C, x = 8 and y = 4
Step-by-step explanation:
Let's isolate y.
x = 2y
Divide both sides by 2.
x/2 = y
Now plug it in to the other equation.
2x + 2(x/2) = 24
Simplify.
2x + x = 24
Simplify.
3x = 24
Divide both sides by 3.
x = 8
Now plug x back into the original equation.
8/2 = y
Simplify.
4 = y
Therefore, the answer is C, x = 8, y = 4.
A building is casting a 140 foot shadow at the same time a nearby post is casting a 10 ft shadow. If the post is 18 feet tall how tall is the building
Answer: 252 feet tall
Step-by-step explanation:
1) make a proportion
x/18=140/10
2)solve
10x=140*18
x=140*18/10
x=14*18
x=252
3) Answer
The building is 252 feet tall
what is the measure of A, in degrees?
Answer:
B
Step-by-step explanation:
Since AB = AC = 8 then the triangle is isosceles and
∠C = ∠B = 30° ( base angles of an isosceles triangle )
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the base angles from 180, hence
∠A = 180° - (30 + 30)° = 180° - 60° = 120° → B
what is the greatest possible integer solution of the inequality 8.904x < 18.037
Answer:
2
Step-by-step explanation:
8.904x < 18.037 Divide each side by 8.904
x < 2.026
The largest integer that satisfies the inequality is 2.
Rob spent 25\%25% more time on his research project than he had planned. He spent an extra hh hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project?
Answer: 5h represents the number of hours Rob actually spent on the project.
Step-by-step explanation:
Let Rob planned that he will spend x hours in his project.
According to the question,
He spent 25% more time on his project than he planned.
That is, his actual time = x + 25% of x = 125% of x
Again according to the question,
He spent an extra h hours on his project.
That is, 25% of x = h
[tex]\frac{25\times x}{100} = h[/tex]
[tex]x=\frac{100h}{25}[/tex]
x = 4h
Thus, his actual time = 125% of x = 125% of 4h = [tex]\frac{125\times 4h}{100}[/tex] = 5h
Which is the required expression.
Answer:
5h and (h/0.25)1.25
Step-by-step explanation:
This means he planned to spend \dfrac{\maroonD{h}}{\greenD{25\%}}\cdot100\%
25%
h
⋅100%start fraction, start color maroonD, h, end color maroonD, divided by, start color greenD, 25, percent, end color greenD, end fraction, dot, 100, percent hours on the research project.
Hint #33 / 6
Because 25\%25%25, percent means 252525 per hundred, we can write it in equivalent forms.
\begin{aligned} 25\%&=\dfrac{25}{100}\\\\ &=0.25 \end{aligned}
25%
=
100
25
=0.25
Find the value of y. Please help
if the ∡E = ∡F = 90°, that means for that quadrilateral of BEGF, the other angles are ∡B = ∡G = 90°, which means is a square, meaning all its sides are equal, therefore
[tex]\bf y + 5 = 3y\implies 5=2y\implies \cfrac{5}{2}=y\implies 2\frac{1}{2}=y[/tex]
please view my question down below
[tex]\frac{422}{8}=52.75mph[/tex]
A.
[tex]average=\dfrac{distance}{time}\\\\\text{We have}\\\\distance=422\ miles\\\\time=8\ hours.\\\\\text{Substitute:}\\\\\boxed{x=\dfrac{422\ miles}{8\ hours}=52.75\ mph}[/tex]
the equation cos-1 3.4/10 =x can be used to determine the measure of angle BAC. What is the degree of measure angle BAC? Round to the nearest whole degree.
Answer:
70°
Step-by-step explanation:
x = [tex]cos^{-1}[/tex]([tex]\frac{3.4}{10}[/tex]) ≈ 70°
Answer:
<BAC= 70 degrees.
Step-by-step explanation:
The given equation to find angle BAC that is x is :
x=[tex]cos^{-1} \frac{3.4}{10}[/tex]
Or ,[tex]x=cos^{-1} 0.34[/tex]
Using calculator to find the arc of cosine0.34 we have :
x=70.1231
This when rounded to nearest whole degree is 70 degrees.
<BAC= 70 degrees.
The opposite angles of a parallelogram have measures of (3x-20) and (x+15). Find x
Evaluate the numerical expression.
9.6 - 10.8 ÷ 0.6
A) -0.2
B) -2
C) -8.4
D) 7.8
Answer:
C) -8.4
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Divide <
10.8 / 0.6
= 18
Subtract <
9.6 - 18
= -8.4
- I.A -
Answer:
its C) -8.4
Hope this helps! :)
25 points to 50 points. is that increase or decrease
Answer:
increasegoing from smaller to larger or less to greater
On a coordinate graph the point in which the x-axis and the y-axis cross is called the
Marc wants to buy a set of 6 antique chairs for his dining room. He has decided to spend no more than $360. How much can he spend per chair?
Answer:
He can spend a maximum of $60 per chair.
Step-by-step explanation:
360 / 6 = $60 per chair
what numbers do I use for 45678910 please help
Answer:
4) 80 5) 96 6) 50 7) 28 8) 17 9) 14 10) 58
Step-by-step explanation:
4) 41+39 5) 28+32+46 6) 13+37 7) 45-17 8) 39-22 9) 31-17 10) 18+40
Paws at Play made a total of $1,234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.
Answer: No of Small Dogs = 13 and,
No of Large Dogs = 9
Step-by-step explanation:
Let us assume,
Small dogs = x and Large dogs = y
The total number of dogs is 22
So the first equation is x + y = 22
Total grooming sales = $1234
Cost to groom small dogs ( x ) = $43
Cost to groom large dogs ( y ) = $75
So the second equation is will be,
(43 × small dogs) + (75 × Large dogs) = $1234
i.e., 43x + 75y = 1234
To find the value of y, multiply the equation 1 with 43
i.e., 43x + 43y = 946
Now compare and subtract the above equation from equation 2
43x + 75y = 1234
43x + 43y = 946
32y = 288
y = 288 ÷ 32
y = 9
Put the value of y in any equation to find the value of x
Putting the value of y = 9 in equation 1
x + y = 22
x + 9 = 22
x = 22 - 9
x = 13
Therefore, Small dogs = 13
Large dogs = 9
The problem is about setting up and solving a system of linear equations representing the number and cost of grooming small and large dogs. You should end up with two equations: x + y = 22 and 43x + 75y = 1234. They can be solved using methods like substitution, elimination, or matrix method.
Explanation:This question involves setting up and solving a system of linear equations. Let's denote the number of small dogs as x and the number of large dogs as y. The total number of dogs is 22, so we can write the first equation as x + y = 22. The total amount charged is $1,234, so the second equation, considering the cost of grooming each small and large dog, is 43x + 75y = 1234.
Now you need to solve this system of equations to determine the number of each type of dog. This can be done using various methods such as substitution, elimination, or matrix methods.
Learn more about System of Linear Equations here:
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70% of a number is what fraction
It's going to be 7/10
The area of a rectangular dog pen is 8/1/2 square feet. If the width is 3/2/5 feet what is the length in feet
Answer:
l = 2 1/2 ft
Step-by-step explanation:
The formula for A is l*w for a rectangular length
A= lw
Putting in what we know
8 1/2 = l * 3 2/5
I will change mixed numbers to improper fractions
8 1/2 = (2*8+1)/2 = 17/2
3 2/5 = (5*3+2)/5 = 17/5
17/2 = l*17/5
Multiply both sides by 5/17 to isolate l
5/17* 17/2 = l* 17/5 * 5/17
5/2 = l
Changing this back to a mixed number
2 1/2 = l
The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction?
A. 7
B.14
C.42
D.126
Answer:
B. 14
Step-by-step explanation:
The sum of infinite geometric series is given by
[tex]\frac{a}{1-r}[/tex]
0.126126126... = [tex]\frac{126}{1000}+\frac{126}{1000000}+\frac{126}{1000000000}[/tex]
Here a =126/1000, r= 1/1000
0.126126126... = [tex]\frac{126/1000}{1-1/1000}[/tex] =126/999 = 14/111
∴ 0.126126126... = 14/111
So, the numerator of the reduced fraction is 14.
Answer:
B. 14
Step-by-step explanation: