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Fittoniya [83]
3 years ago
14

Nic is saving to buy a game system & games. He needs $500 total and earned $125 in one week. If he continues to make money a

t that rate, how long will it take him to save $500?
Mathematics
2 answers:
Evgesh-ka [11]3 years ago
5 0
4 weeks would be the correct answer
guajiro [1.7K]3 years ago
5 0
The answer to the problem is 4 and here is why:
If you take 4 times 125, you get 500. An easy way to do that in your head is 4 times 25 is 100, and 4 times 100 is 400, and 100 + 400 equals 500.
Ex:    4 x 125 = (4 x 25) + (4 x 100) = 500 
You might be interested in
In the figure below, segment AC is congruent to segment AB.
sattari [20]

Answer:

Option B is correct.

Angle DAC is congruent to angle DAB

Step-by-step explanation:

Given: Segment AC is congruent to segment AB.

In  ΔABD and ΔACD

AB \cong AC    [Given]

[Congruent sides have the same length]

AB = AC         [Side]

AD = AD        [Common side]

\angle DAC =\angle DAB      [Angle]

Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then by SAS,

\triangle ABD \cong \triangle ACD

By CPCT [Corresponding Parts of congruent Triangles are congruent]

then;

\angle ABD \cong \angle ACD

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB

4 0
3 years ago
Read 2 more answers
I’m sorry I ain’t good at this math please help
otez555 [7]

The answer would be 2160 because v=l*w*h so 10*12*18 would equal 2160

4 0
3 years ago
A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)
TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function f(t), t is the independent variable. The domain of f is the set of all values of t that this function can accept.

In this case, f(t) is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

  • t \ge 0.
  • f(t) \ge 0.

The first condition is an inequality about t, which is indeed the independent variable.

However, the second condition is about f, the dependent variable of this function. It has to be rewritten as a condition about t.

\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}.

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

6 0
3 years ago
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
Read 2 more answers
What is the answer to this​
Alborosie
The answer to the question is b

$9 each hour she works + 7.50 fee
$7.50+$9h= $34.50
7 0
3 years ago
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