Answer:
Beth is five years old.
Step-by-step:
Beth + Julio + Gerald + Debra = 38
B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38
Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.
Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38
B + (B -2) + (2B) + (4B) = 38
Simplfy the like terms.
8B - 2 = 38
Add 2 on both sides.
8B = 38 + 2
8B = 40
Divide both sides by 8 to isolate the variable.
8/8 B = 40/8
B = 5
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store.
The question is incomplete:
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store. Let x represent the number of televisions and y represent the number of projection systems sold in a given day. Write a system of inequalities that describes what is necessary to obtain the stores goal.
Answer:
The system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
Step-by-step explanation:
According to the information provided, you know that the owner never has more than 25 items total in the store which means that the sum of the amount of televisions and projection systems is less than or equal to 25, which can be expressed as:
x+y≤25, where:
x is the number of televisions
y is the number of projection systems
Also, the statement indicates that the price per television is $475 and the price per projection system is $360 and that the store looks to sell at least $7600 worth of televisions and projection systems per day. This means that the result of adding up the sales of televisions and projection systems should be greater than or equal to 7600:
475x+360y≥7600
The answer is that the system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
Solve for x: 6x + 1 = -23
Answer:6x=-23 - 1
6x=-24
X=-4
Step-by-step explanation:
Find the 60th term of the arithmetic sequence -27, -24, -21
A student mistakenly writes the following in his notes: log2a+log2b=log2(a+b) . However, after substituting the values for a and b in a problem, he still gets the right answer. If the value of a is 11, what must be the value of b ? Round your answer to nearest tenth if necessary.
Answer:
b=11/10
Step-by-step explanation:
plug in 11 for "a" and solve for "b"
270 divided by 4
PLEASE HELP ASAP
Answer:
67.5
Step-by-step explanation:
Answer: Divide the 2 numbers
Answer:
the answer is 67.5
Step-by-step explanation:
270/4=67.5
Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.
Would someone mind explaining the Point-Slope form to me? My virtual teacher kind of brushed over it and I am a little confused as to how I should copy it down in my notes so I understand.
Answer:
This picture kind of sums it up
Step-by-step explanation:
Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.
Step-by-step explanation:
B. Four less than a number.
Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?
Answer:
The car is worth $4250 now and it decreased by $750
Step-by-step explanation:
5000* .85 is 4250
HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?
Answer:
y=(-1/3)x
Step-by-step explanation:
y=mx+b
(x,y)
put in the first point into y=mx+b
2=m(-6)+b
then the second point is (6,-2)
put the point into y=mx+b
-2=6m+b
----------------------------
Put both equations in a system of equations
-2=6m+b
2=m(-6)+b
solve for m and b
-1/3=m and 0=b
so put that back into y=mx+b
y=(-1/3)x+0
so that is the only line that passes through both points
(d)
2 m
-10 m
6 m
4 m
15 m
14 m
20 m
Answer:
its d
Step-by-step explanation:
Find the square root for y=-2(x-5)(x+7)?
The school is having a bake sale, Chocolate cookies cost $.20 each and oatmeal cookies cost $.25 each. Sue bought 13 cookies, some chocolate and some oatmeal, She spent$2.90, Find out how many of each kind of cookie Sue bought.
Answer:
7 chocolate and 6 oatmeal
Step-by-step explanation:
if i did it right that should be it
5. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2
6. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2
answers for 5 and 6
5) C
6) B
Step-by-step explanation:
hope this helped
Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5
Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about the other zero
Answer:
Step-by-step explanation:
irrational roots always occur in pairs.
Other root is also irrational and is negative of first zero.
If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .
What is quadratic equation ?Any equation of the form [tex]ax^{2}+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Let assume quadratic equation is
[tex]ax^{2}+bx+c=0[/tex]
Given that coefficients are integer and roots are distinct
we know root of quadratic equation are
[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
As roots are distinct
[tex]b^2-4ac > 0\\[/tex]
and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square
Hence another root is also irrational .
If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .
To learn more about quadratic equations visit : https://brainly.com/question/1214333
How many points need to be removed from this graph so that it will be a function?
If ABCD \cong≅ EFGH, select the answer choice that has the correct tick marks for corresponding sides
Answer:
AB and EF;
BC and FG;
CD and GH;
DA and HE
Step-by-step explanation:
Given
[tex]ABCD \cong EFGH[/tex]
Required
Select correct option for corresponding sides
No options were given. So, I will just list out the corresponding sides.
[tex]ABCD \cong EFGH[/tex] implies that:
[tex]A \cong E[/tex]
[tex]B \cong F[/tex]
[tex]C \cong G[/tex]
[tex]D \cong H[/tex]
So, the corresponding sides are:
AB and EF; BC and FG; CD and GH; DA and HE
Use synthetic division to divide x^3-8x^2+9x-5 by x-3
Answer:
x^2 - 6x - 6, remainder -23
Step-by-step explanation:
Start like this:
3 | 1 -8 9 -5
|
--------------------------------
First step is to copy the 1 to below the line.
3 | 1 -8 9 -5
|
--------------------------------
1
Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.
3 | 1 -8 9 -5
| 3
--------------------------------
1 -5
Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15
--------------------------------
1 -5 -6
Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15 -18
--------------------------------
1 -5 -6 -23
Answer: x^2 - 6x - 6, remainder -23
The solution is, x^2 - 6x - 6, and, the remainder -23.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
divide x^3-8x^2+9x-5 by x-3
Start like this:
3 | 1 -8 9 -5
|
--------------------------------
First step is to copy the 1 to below the line.
3 | 1 -8 9 -5
|
--------------------------------
1
Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.
3 | 1 -8 9 -5
| 3
--------------------------------
1 -5
Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15
--------------------------------
1 -5 -6
Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15 -18
--------------------------------
1 -5 -6 -23
Hence, Answer: x^2 - 6x - 6, remainder -23
To learn more on division click:
brainly.com/question/21416852
#SPJ2
Caleb a organizado en si horario personal 6,5 horas de tiempo libre al día. Como desea ser un futbolista profesional, usa 6/13 de su tiempo libre para hacer ejercicios distintos para fortalecer su cuerpo, y el resto del tiempo libre juega fulbito con sus amigos de la comunidad. ¿Cuantas horas a la semana dedica Caleb para fortalecer su cuerpo y jugar fulbito?
Responder:
Fortalecimiento = 21 horas
Jugar al fútbol = 24,5 horas
Explicación paso a paso:
Número de horas diarias = 6. 5 horas
Fracción de fortalecimiento del tiempo: 6/13
Por lo tanto, el tiempo dedicado al fortalecimiento diario = 6/13 * 6.5 horas = 6/13 * 6.5 horas = 3 horas
Tiempo total dedicado a la semana =. 3 * 7 = 21 horas
Tiempo diario dedicado a jugar al fútbol = (6,5 - 3) = 3,5 horas
Tiempo total invertido por semana:
3,5 * 7 = 24,5 horas
trigonometry please help! work need to be shown
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
Please help on this!
Answer:
18cm,21cm,27cm
Step-by-step explanation:
explanation in picture
image down below plz and thx answer first and ill give you brailiest
Two angles are same side interior angles between two parallel lines. One angle is 30° more than one half the other angle. What is the measure of the smaller angle?
Answer:
284
Step-by-step explanation:
Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
Plz help
Rewrite the fraction in the sentence below as a percentage.
In 2010, a fire destroyed
3/10 of the farmer's crops.
Answer: 30%
Step-by-step explanation:
Method 1:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, the denominator should be equal to 100 (since percent is per 100)
Multiply the top and bottom by 10
[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]
Since the numerator is 30, 3/10 as a percent is 30%
Method 2:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)
0.3
10 | 3 0
-30
-------------
0
You get 0.3
Now multiply the decimal by 100
0.3 * 100 = 30
30%
Method 3:
The original fraction is [tex]\frac{3}{10}[/tex]
[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]
cross-multiply to solve the equation
30%
Heidi lost an average of 4 pounds a month for five months. What was her total weight loss?
Answer:
20 lbs
Step-by-step explanation:
is heidi dieting cuz thats good!
4 lbs x 5 months = 20 lbs
help ineed help its just too much too count im so confused #screwfortnite
Answer:
7 X 10
Step-by-step explanation:
because up and down there are 7 and left to right there are 10
Answer:
7 X 10
Step-by-step explanation:
All you have to do is count how many rows there are (just count the vertical line down the side) and you get your first term 7. Then count how many columns (just count the top row) and you get your second term 10. This is a 7 by 10 array, which means there are 70 flowers in total.
could 13 15 and 19 be a right triangle
Answer:
No b/c the hypotenuse is too short
Step-by-step explanation:
13² + 15² = 19²
169 + 225 = 361
394 ≠ 361
Jennifer needs to make at least $325 to pay for a new Xbox. She already has $184 saved in her account. Which inequality can Jennifer use to find n, the amount of money she still needs to save to meet or exceed her goal?